mirror of
https://github.com/princeton-nlp/tree-of-thought-llm
synced 2025-06-04 03:36:54 +00:00
28626 lines
1.5 MiB
28626 lines
1.5 MiB
[
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{
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"steps": [
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{
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"step": 0,
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"x": "4 5 6 10",
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"ys": [
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|
""
|
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],
|
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"new_ys": [
|
|
"4 + 5 = 9 (left: 6 9 10)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n",
|
|
"5 * 6 = 30 (left: 4 10 30)\n",
|
|
"6 * 10 = 60 (left: 4 5 60)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n",
|
|
"5 - 6 = -1 (left: 4 -1 10)\n",
|
|
"10 - 6 = 4 (left: 4 4 5)\n",
|
|
"10 - 4 = 6 (left: 5 6 6)\n",
|
|
"10 / 5 = 2 (left: 2 4 6)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 5 10)\n"
|
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],
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"values": [
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3.0,
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3.0,
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3.0,
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3.0,
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1.002,
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0.003,
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3.0,
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2.001,
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3.0,
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3.0,
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3.0,
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3.0
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],
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"select_new_ys": [
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"4 + 5 = 9 (left: 6 9 10)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n"
|
|
]
|
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},
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{
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"step": 1,
|
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"x": "4 5 6 10",
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"ys": [
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"4 + 5 = 9 (left: 6 9 10)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n"
|
|
],
|
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"new_ys": [
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 - 6 = 3 (left: 3 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n10 - 9 = 1 (left: 1 6)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 * 9 = 54 (left: 10 54)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 / 9 = 2/3 (left: 2/3 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n10 / 6 = 1.666 (left: 1.666 9)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n10 / 9 = 1.111 (left: 1.111 6)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n4 + 10 = 14 (left: 11 14)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n10 - 4 = 6 (left: 6 11)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 10 = 1 (left: 1 4)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n4 * 10 = 40 (left: 11 40)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n4 * 11 = 44 (left: 10 44)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n10 * 11 = 110 (left: 4 110)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n4 + 5 = 9 (left: 9 16)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n5 - 4 = 1 (left: 1 16)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n16 - 5 = 11 (left: 4 11)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n16 - 4 = 12 (left: 5 12)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n16 / 4 = 4 (left: 4 5)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n5 * 4 = 20 (left: 20)\n",
|
|
"6 + 10 = 16 (left: 4 5 16)\n4 * 5 = 20 (left: 20)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n6 + 10 = 16 (left: 16 20)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 10 = 10 (left: 6 10)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n6 * 10 = 60 (left: 20 60)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 / 10 = 2 (left: 2 6)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 / 6 = 3.33 (left: 3.33 10)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 * 20 = 200 (left: 6 200)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n6 + (-1) = 5 (left: 5 10)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n10 + (-1) = 9 (left: 6 9)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n6 - (-1) = 7 (left: 7 10)\n",
|
|
"4 - 5 = -1 (left: -1 6 10)\n10 - (-1) = 11 (left: 6 11)\n"
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],
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"values": [
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2.001,
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1.002,
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1.002,
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0.003,
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0.003,
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1.002,
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2.001,
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1.002,
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0.003,
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0.003,
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0.003,
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2.001,
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0.003,
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0.003,
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0.003,
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0.003,
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0.003,
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0.003,
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0.003,
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2.001,
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0.003,
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0.003,
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0.003,
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0.003,
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60.0,
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2.001,
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60.0,
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0.003,
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0.003,
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2.001,
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0.003,
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1.002,
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2.001,
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2.001,
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0.003
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],
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"select_new_ys": [
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"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n"
|
|
]
|
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},
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{
|
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"step": 2,
|
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"x": "4 5 6 10",
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"ys": [
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 + 20 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n20 - 4 = 16 (left: 16)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n20 / 4 = 5 (left: 5)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 * 20 = 80 (left: 80)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 - 14 = -4 (left: -4)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 - 15 = -5 (left: -5 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n10 / 1.5 = 6.67 (approx.) (left: 6.67)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 + 6 = 11 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n"
|
|
],
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"values": [
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60.0,
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0.002,
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0.0,
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0.003,
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60.0,
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0.002,
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0.002,
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0.002,
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1.002,
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2.001,
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0.003,
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3.0,
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0.001,
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0.003,
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0.003,
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0.001,
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0.003,
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0.003,
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0.003
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],
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"select_new_ys": [
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 + 20 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 5 6 10",
|
|
"ys": [
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 + 20 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 + 20 = 24 (left: 24)\nAnswer: (4 * 5) + (10 - 6) = 24\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (4 * 5) - 6 + 10 = 24\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n0.666 + 15 = 15.666 (left: 15.666)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n15 * 0.666 = 9.99 (left: 9.99)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n15 - 0.666 = 14.334 (left: 14.334)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 / 15 = 0.666 (left: 0.666 15)\n15 / 0.666 = 22.523 (left: 22.523)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 / 1.5 \u2248 6.67 (left: 6.67)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n10 - 5 = 5 (left: 5 5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n10 / 5 = 2 (left: 2 5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 * 10 = 50 (left: 50)\n"
|
|
],
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"values": [
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60.0,
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60.0,
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0,
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0,
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0,
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0,
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0.001,
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0.003,
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0.001,
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0.003,
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0.003,
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0,
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0,
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0
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],
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"select_new_ys": [
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"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 + 20 = 24 (left: 24)\nAnswer: (4 * 5) + (10 - 6) = 24\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (4 * 5) - 6 + 10 = 24\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 900,
|
|
"ys": [
|
|
"4 * 5 = 20 (left: 6 10 20)\n10 - 6 = 4 (left: 4 20)\n4 + 20 = 24 (left: 24)\nAnswer: (4 * 5) + (10 - 6) = 24\n",
|
|
"4 * 5 = 20 (left: 6 10 20)\n20 - 6 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (4 * 5) - 6 + 10 = 24\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
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},
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{
|
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"r": 1
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},
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{
|
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"r": 0
|
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},
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{
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"r": 0
|
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},
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{
|
|
"r": 0
|
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}
|
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],
|
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"usage_so_far": {
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"completion_tokens": 9161,
|
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"prompt_tokens": 28451,
|
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"cost": 1.40319
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 2 4 7",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 4 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n",
|
|
"4 + 7 = 11 (left: 1 2 11)\n",
|
|
"1 * 2 = 2 (left: 2 4 7)\n",
|
|
"1 * 4 = 4 (left: 2 4 7)\n",
|
|
"1 * 7 = 7 (left: 2 4 7)\n",
|
|
"2 * 4 = 8 (left: 1 7 8)\n",
|
|
"2 * 7 = 14 (left: 1 4 14)\n",
|
|
"4 * 7 = 28 (left: 1 2 28)\n",
|
|
"1 - 2 = -1 (left: -1 4 7)\n",
|
|
"1 - 4 = -3 (left: 2 -3 7)\n",
|
|
"1 - 7 = -6 (left: 2 4 -6)\n",
|
|
"2 - 4 = -2 (left: 1 -2 7)\n",
|
|
"2 - 7 = -5 (left: 1 4 -5)\n",
|
|
"4 - 7 = -3 (left: 1 2 -3)\n",
|
|
"4 / 1 = 4 (left: 2 4 7)\n",
|
|
"4 / 2 = 2 (left: 1 2 7)\n",
|
|
"7 / 1 = 7 (left: 2 4 7)\n",
|
|
"7 / 2 = 3.5 (left: 1 4 3.5)\n",
|
|
"7 / 4 = 1.75 (left: 1 2 1.75)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
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3.0,
|
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
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0.003,
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3.0,
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3.0,
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2.001,
|
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3.0,
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0.003,
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0.003,
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3.0,
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1.002,
|
|
3.0,
|
|
3.0,
|
|
0.003
|
|
],
|
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"select_new_ys": [
|
|
"1 + 2 = 3 (left: 3 4 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 4 7",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 3 4 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n4 / 3 = 1.33 (left: 1.33 7) (if decimals are allowed)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n7 / 3 = 2.33 (left: 2.33 4) (if decimals are allowed)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n7 / 4 = 1.75 (left: 1.75 3) (if decimals are allowed)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 + 5 = 7 (left: 7 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n5 - 2 = 3 (left: 3 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n7 - 2 = 5 (left: 5 5)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n7 - 5 = 2 (left: 2 2)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n5 / 2 = 2.5 (left: 2.5 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n7 / 2 = 3.5 (left: 3.5 5)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n4 - 2 = 2 (left: 2 8)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 * 4 = 8 (left: 8 8)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 / 2 = 4 (left: 4 4)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 4 = 4 (left: 2 4)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n1 + 6 = 7 (left: 7 7)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n6 - 1 = 5 (left: 5 7)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n7 - 1 = 6 (left: 6 6)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n7 - 6 = 1 (left: 1 1)\n",
|
|
"2 + 4 = 6 (left: 1 6 7)\n1 * 6 = 6 (left: 6 7)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n9 / 1 = 9 (left: 4 9)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 4 7",
|
|
"ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n6 - 8 = -2 (left: -2)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n6 / 8 = 0.75 (left: 0.75)\n",
|
|
"1 + 7 = 8 (left: 2 4 8)\n2 + 4 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"1 + 2 = 3 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n12 / 7 = 1.71 (rounded, left: 1.71)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 4 7",
|
|
"ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (1 + 7 - 2) = 24\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 8 = 25 (left: 2 8 14 25)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 8 31)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 8 = 9 (left: 2 8 14 9)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 14 = 3 (left: 2 8 8 3)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (not a whole number, not valid)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n8 - 17 = -9 (negative number, not valid)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n14 - 17 = -3 (negative number, not valid)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 + 7 = 10 (left: 10)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 / 3 = 2.33 (left: 2.33)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 2 = 72 (left: 8 8 14 72)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 2 = 68 (left: 8 8 14 68)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 2 = 35 (left: 8 8 14 35)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 * 2 = 140 (left: 8 8 14 140)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n2 + 70 = 72 (left: 8 8 14 72)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n14 + 70 = 84 (left: 8 8 84)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n8 + 70 = 78 (left: 8 14 78)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 2 = 47 (left: 8 8 14 47)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 2 = 43 (left: 8 8 14 43)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n2 * 45 = 90 (left: 8 8 14 90)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 2 = 22.5 (left: 8 8 14 22.5)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 8 = 53 (left: 2 8 14 53)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 8 = 37 (left: 2 8 14 37)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n8 * 45 = 360 (left: 2 14 360)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 8 = 5.625 (left: 2 8 14 5.625)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 14 = 59 (left: 2 8 59)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 14 = 31 (left: 2 8 31)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n14 * 45 = 630 (left: 2 8 630)\n",
|
|
"2 + 7 = 9 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 14 = 3.214 (left: 2 8 3.214)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (1 + 7 - 2) = 24\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 8 = 25 (left: 2 8 14 25)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 8 31)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 901,
|
|
"ys": [
|
|
"1 + 7 = 8 (left: 2 4 8)\n8 - 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (1 + 7 - 2) = 24\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 8 = 25 (left: 2 8 14 25)\n",
|
|
"1 + 4 = 5 (left: 2 5 7)\n2 * 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 8 31)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 24338,
|
|
"prompt_tokens": 63137,
|
|
"cost": 3.35439
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 5 8 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 5 = 7 (left: 7 8 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n",
|
|
"5 * 2 = 10 (left: 8 10 11)\n",
|
|
"11 / 2 = 5.5 (left: 5 5.5 8)\n",
|
|
"8 - 2 = 6 (left: 5 6 11)\n",
|
|
"8 - 5 = 3 (left: 2 3 11)\n",
|
|
"11 + 2 = 13 (left: 5 8 13)\n",
|
|
"5 * 11 = 55 (left: 2 8 55)\n",
|
|
"2 * 11 = 22 (left: 5 8 22)\n",
|
|
"8 * 2 = 16 (left: 5 11 16)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.002,
|
|
1.002,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 5 8 11",
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n8 - 7 = 1 (left: 1 11)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n7 * 8 = 56 (left: 11 56)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n7 / 8 (not a whole number)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n3 + 8 = 11 (left: 11 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 - 3 = 5 (left: 5 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 - 8 = 3 (left: 3 3)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n3 * 8 = 24 (left: 11 24)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n5 + 8 = 13 (left: 9 13)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n8 - 5 = 3 (left: 3 9)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n9 - 5 = 4 (left: 4 8)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n9 - 8 = 1 (left: 1 5)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n5 * 8 = 40 (left: 9 40)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n8 * 9 = 72 (left: 5 72)\n",
|
|
"11 - 2 = 9 (left: 5 8 9)\n9 / 5 = 1.8 (left: 1.8 8)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n8 + 10 = 18 (left: 11 18)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 + 11 = 21 (left: 8 21)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n11 - 8 = 3 (left: 3 10)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 - 8 = 2 (left: 2 11)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n11 / 8 = 1.375 (left: 1.375 10)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n8 / 11 = 0.727 (left: 0.727 10)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
0.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 5 8 11",
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 - 3.67 = 4.33 (left: 4.33)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 * 8 = 29.36 (left: 29.36)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n2.67 + 11 = 13.67 (left: 13.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 - 2.67 = 8.33 (left: 8.33)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n2.67 * 11 = 29.37 (left: 29.37)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n1.25 + 11 = 12.25 (left: 12.25)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n11 - 1.25 = 9.75 (left: 9.75)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n1.25 * 11 = 13.75 (left: 13.75)\n",
|
|
"2 * 5 = 10 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n11 / 1.25 = 8.8 (left: 8.8)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n19 - 7 = 12 (left: 12)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n19 / 7 = approx. 2.71 (left: approx. 2.71)\n",
|
|
"2 + 5 = 7 (left: 7 8 11)\n11 + 8 = 19 (left: 7 19)\n7 * 19 = 133 (left: 133)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
2.001,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.0,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 5 8 11",
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * 8 = 24\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n4 + 12 = 16 (left: 16)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n12 - 4 = 8 (left: 8)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n4 * 12 = 48 (left: 48)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n12 / 4 = 3 (left: 3)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 25)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 -3)\n",
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 14 = 154 (left: 2 8 154)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\nSince there is only one number given as input, there are no possible next steps for mathematical operations involving multiple numbers. However, you can consider the following actions:\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n1. Round the number to the nearest whole number: round(2.18) = 2\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n2. Calculate the square of the number: 2.18^2 = 4.7524\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n3. Calculate the square root of the number: sqrt(2.18) \u2248 1.476\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n4. Calculate the reciprocal of the number: 1/2.18 \u2248 0.4587\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n5. Convert the number to a percentage: 2.18 * 100 = 218%\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 + 2 = 13.67 (left: 8 8 13.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 + 8 = 19.67 (left: 2 8 19.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 + 14 = 25.67 (left: 2 8 25.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 * 2 = 23.34 (left: 8 8 23.34)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 * 8 = 93.36 (left: 2 14 93.36)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 * 14 = 163.38 (left: 2 8 163.38)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 - 2 = 9.67 (left: 8 8 9.67)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 - 8 = 3.67 (left: 2 3.67 14)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 - 14 = -2.33 (left: 2 8 -2.33)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n2 / 11.67 \u2248 0.17 (left: 0.17 8 14)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n8 / 11.67 \u2248 0.69 (left: 2 0.69 14)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n14 / 11.67 \u2248 1.20 (left: 2 8 1.20)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 / 2 \u2248 5.83 (left: 8 8 5.83)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 / 8 \u2248 1.46 (left: 2 14 1.46)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n11.67 / 14 \u2248 0.83 (left: 2 8 0.83)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * 8 = 24\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n4 + 12 = 16 (left: 16)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n4 * 12 = 48 (left: 48)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n12 - 4 = 8 (left: 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 902,
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * 8 = 24\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n4 + 12 = 16 (left: 16)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n4 * 12 = 48 (left: 48)\n",
|
|
"5 - 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n12 - 4 = 8 (left: 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
|
},
|
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{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 37818,
|
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"prompt_tokens": 96524,
|
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"cost": 5.1648
|
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}
|
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},
|
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{
|
|
"steps": [
|
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{
|
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"step": 0,
|
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"x": "3 4 4 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n",
|
|
"3 * 4 = 12 (left: 4 12 13)\n",
|
|
"4 - 3 = 1 (left: 1 4 13)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n",
|
|
"13 / 3 = 4.33 (left: 4 4.33 4)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
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3.0,
|
|
41.0,
|
|
3.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 4 4 13",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n7 - 4 = 3 (left: 3 13)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 4 = 9 (left: 7 9)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n7 * 4 = 28 (left: 13 28)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 / 4 = 3.25 (left: 3.25 7)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 / 7 = 0.57 (left: 0.57 13)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 * 4 = 16 (left: 16 16)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n16 / 4 = 4 (left: 4 4)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n16 - 4 = 12 (left: 4 12)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n16 - 4 = 12 (left: 4 12)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n4 + 4 = 8 (left: 8 10)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 6 = 4 (left: 4 4)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 / 4 = 2.5 (left: 2.5 4)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n4 / 4 = 1 (left: 1 10)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n4 - 3 = 1 (left: 1 9)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n4 * 9 = 36 (left: 3 36)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 / 3 = 3 (left: 3 4)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n1.33 + 4 = 5.33 (left: 5.33 13)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n4 - 1.33 = 2.67 (left: 2.67 13)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n13 - 1.33 = 11.67 (left: 4 11.67)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n13 - 4 = 9 (left: 1.33 9)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n13 / 1.33 \u2248 9.77 (left: 4 9.77)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n13 / 4 = 3.25 (left: 1.33 3.25)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 4 13)\n4 * 1.33 = 5.32 (left: 5.32 13)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
2.001,
|
|
60.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
2.001,
|
|
60.0,
|
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0.003,
|
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3.0,
|
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0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
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0.003,
|
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0.003,
|
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0.003,
|
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3.0,
|
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3.0,
|
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3.0,
|
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3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 4 4 13",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"13 - 4 = 9 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 4 4 13",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 4) + (4 + 7) = 24\n",
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - (3 + 4)) = 24\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (3 + 13) + (4 + 4) = 24\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 3 - 4) = 24\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - (3 + 4)) = 24\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 3 - 4) = 24\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 903,
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 4 7 13)\n13 - 7 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - (3 + 4)) = 24\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"13 - 3 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 3 - 4) = 24\n",
|
|
"13 + 3 = 16 (left: 4 4 16)\n4 + 4 = 8 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 44011,
|
|
"prompt_tokens": 114555,
|
|
"cost": 6.077310000000001
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 7 8 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 7 = 13 (left: 8 9 13)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n",
|
|
"8 / 6 = 4/3 (left: 4/3 7 9)\n",
|
|
"9 / 6 = 3/2 (left: 3/2 7 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n",
|
|
"7 * 6 = 42 (left: 8 9 42)\n",
|
|
"9 + 6 = 15 (left: 7 8 15)\n",
|
|
"8 * 6 = 48 (left: 7 9 48)\n",
|
|
"9 * 6 = 54 (left: 7 8 54)\n",
|
|
"8 + 7 = 15 (left: 6 9 15)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 7 8 9",
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n8 + 9 = 17 (left: 13 17)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n9 - 8 = 1 (left: 1 13)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 9 = 4 (left: 4 8)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 + 8 = 21 (left: 9 21)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 + 9 = 22 (left: 8 22)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n8 * 9 = 72 (left: 13 72)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n1 + 8 = 9 (left: 9 9)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n9 - 1 = 8 (left: 8 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n9 - 8 = 1 (left: 1 1)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n1 * 8 = 8 (left: 8 9)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 / 1 = 8 (left: 8 9)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n9 / 1 = 9 (left: 8 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n2 + 7 = 9 (left: 9 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n7 - 2 = 5 (left: 5 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n9 - 7 = 2 (left: 2 9)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n9 - 2 = 7 (left: 7 7)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n7 * 2 = 14 (left: 9 14)\n",
|
|
"8 - 6 = 2 (left: 2 7 9)\n7 / 2 = 3.5 (left: 3.5 9)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n3 + 7 = 10 (left: 8 10)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n7 - 3 = 4 (left: 4 8)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n3 * 7 = 21 (left: 8 21)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n8 - 3 = 5 (left: 5 7)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n8 - 7 = 1 (left: 1 3)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n8 / 3 \u2248 2.67 (left: 2.67 7)\n",
|
|
"9 - 6 = 3 (left: 3 7 8)\n7 / 3 \u2248 2.33 (left: 2.33 8)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 7 8 9",
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"6 + 7 = 13 (left: 8 9 13)\n13 - 8 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
1.002,
|
|
0.001,
|
|
3.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 7 8 9",
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 / (9 - 7)) = 24\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n1.5 + 8 = 9.5 (left: 9.5)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n8 - 1.5 = 6.5 (left: 6.5)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n8 / 1.5 = 5.333 (left: 5.333)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n4 + 8 = 12 (left: 12)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n1.2857 + 7 = 8.2857 (left: 8.2857)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n7 - 1.2857 = 5.7143 (left: 1.2857 5.7143)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n7 / 1.2857 \u2248 5.4375 (left: 1.2857 5.4375)\n",
|
|
"7 - 6 = 1 (left: 1 8 9)\n8 - 1 = 7 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857 7)\n1.2857 * 7 \u2248 9 (left: 9)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 / (9 - 7)) = 24\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 904,
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / (9 - 7)) * 8 = 24\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 / (9 - 7)) = 24\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"9 - 7 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 50871,
|
|
"prompt_tokens": 132811,
|
|
"cost": 7.03659
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 11 11 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 11 = 12 (left: 11 12 13)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n",
|
|
"13 - 1 = 12 (left: 11 11 12)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n",
|
|
"13 * 1 = 13 (left: 11 11 13)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
2.001,
|
|
2.001,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 10 11 13)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 11 11 13",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 10 11 13)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 + 11 = 21 (left: 13 21)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 - 11 = -1 (left: -1 13)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 - 10 = 1 (left: 1 13)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 * 11 = 110 (left: 13 110)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 + 10 = 23 (left: 11 23)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 10 = 3 (left: 3 11)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 / 13 = 0.77 (left: 0.77 11)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 + 11 = 24 (left: 10 24)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 * 11 = 143 (left: 10 143)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 / 11 = 1.18 (left: 1.18 10)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n1 + 2 = 3 (left: 3 11)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n2 - 1 = 1 (left: 1 11)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 2 = 9 (left: 1 9)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n1 * 2 = 2 (left: 2 11)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n11 + 11 = 22 (left: 13 22)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n11 * 11 = 121 (left: 13 121)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n13 + 11 = 24 (left: 11 24)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"11 / 1 = 11 (left: 11 11 13)\n11 / 11 = 1 (left: 1 13)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n11 + 11 = 22 (left: 13 22)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n11 * 11 = 121 (left: 13 121)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"11 * 1 = 11 (left: 11 11 13)\n13 + 11 = 24 (left: 11 24)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n11 + 11 = 22 (left: 13 22)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n11 * 11 = 121 (left: 13 121)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n13 + 11 = 24 (left: 11 24)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"13 / 1 = 13 (left: 11 11 13)\n13 * 11 = 143 (left: 11 143)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 - 11 = -1 (left: -1 13)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 11 11 13",
|
|
"ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 - 11 = -1 (left: -1 13)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 - 11 = -1 (left: -1 13)\n-1 + 13 = 12 (left: 12)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 - 11 = -1 (left: -1 13)\n13 - (-1) = 14 (left: 14)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n10 - 11 = -1 (left: -1 13)\n13 + (-1) = 12 (left: 12)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n1.1 + 13 = 14.1 (left: 14.1)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n13 - 1.1 = 11.9 (left: 11.9)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n1.1 * 13 = 14.3 (left: 14.3)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n13 / 1.1 = 11.82 (approximately, left: 11.82)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n1.1 * 13 = 14.3 (left: 14.3)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 11 11 13",
|
|
"ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n1.1 * 13 = 14.3 (left: 14.3)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (11 + 1) = 24\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 2 = 8 (left: 8 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 2 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 14 = 20 (left: 2 8 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 8 = 48 (left: 2 14 48)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 14 = 84 (left: 2 8 84)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 - 8 = -2 (left: -2 2 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 - 14 = -8 (left: 2 8 -8)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n2 - 6 = -4 (left: -4 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 - 6 = 2 (left: 2 2 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 6 = approx. 2.333 (left: 2 8 approx. 2.333)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 / 6 = approx. 1.333 (left: 2 approx. 1.333 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n2 / 6 = approx. 0.333 (left: approx. 0.333 8 14)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n10 + 20 = 30 (left: 8 14 30)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n4 + 20 = 24 (left: 8 14 24)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n16 + 20 = 36 (left: 8 8 36)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n16 - 20 = -4 (left: 8 8 -4)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n6 + 20 = 26 (left: 2 8 26)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n6 - 20 = -14 (left: 2 8 -14)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n7 + 20 = 27 (left: 8 8 27)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n12 + 20 = 32 (left: 8 8 32)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 * 2 = 40 (left: 8 14 40)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 2 = 10 (left: 8 14 10)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 2 = 18 (left: 8 14 18)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 14 = 6 (left: 2 8 6)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 8 = 2.5 (left: 2 2.5 14)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n13 - 11 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 8 = 12 (left: 2 12 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n10 + 20 = 30 (left: 8 14 30)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 10 = 10 (left: 8 10 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 8 = 12 (left: 10 12 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 14 = 6 (left: 6 10 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 2 = 10 (left: 8 10 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 10 = 2 (left: 2 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 8 = 2.5 (left: 2.5 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 - 1 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 14 = 1.4285 (left: 1.4285 8 10)\n",
|
|
"11 - 1 = 10 (left: 10 11 13)\n11 / 10 = 1.1 (left: 1.1 13)\n1.1 * 13 = 14.3 (left: 14.3)\nThere are no possible next steps as only a single number is provided. Please provide at least two numbers for any possible operations.\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (11 + 1) = 24\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 2 = 8 (left: 8 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 2 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 14 = 20 (left: 2 8 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 905,
|
|
"ys": [
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 11) * (11 + 1) = 24\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 2 = 8 (left: 8 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 2 8 14)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 14 = 20 (left: 2 8 20)\n",
|
|
"13 - 11 = 2 (left: 1 2 11)\n11 + 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 61806,
|
|
"prompt_tokens": 158115,
|
|
"cost": 8.45181
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 8 10 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 8 = 9 (left: 9 10 11)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n",
|
|
"11 - 10 = 1 (left: 1 1 8)\n",
|
|
"10 / 1 = 10 (left: 8 10 11)\n",
|
|
"8 * 1 = 8 (left: 1 8 11)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 8 = 9 (left: 9 10 11)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 8 10 11",
|
|
"ys": [
|
|
"1 + 8 = 9 (left: 9 10 11)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 8 = 9 (left: 9 10 11)\n9 + 10 = 19 (left: 11 19)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n10 + 11 = 21 (left: 9 21)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 + 9 = 20 (left: 10 20)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n9 * 10 = 90 (left: 11 90)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n10 * 11 = 110 (left: 9 110)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 * 9 = 99 (left: 10 99)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n10 - 9 = 1 (left: 1 11)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 10 = 1 (left: 1 9)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n7 + 10 = 17 (left: 11 17)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n10 - 7 = 3 (left: 3 11)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 10 = 1 (left: 1 7)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n7 * 10 = 70 (left: 11 70)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n10 * 11 = 110 (left: 7 110)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n7 * 11 = 77 (left: 10 77)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n8 + 9 = 17 (left: 11 17)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 - 8 = 1 (left: 1 11)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n11 - 8 = 3 (left: 3 9)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n11 - 9 = 2 (left: 2 8)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n8 * 9 = 72 (left: 11 72)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n11 / 8 = 1.375 (left: 1.375 9)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n11 / 9 = 1.222 (left: 1.222 8)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n8 + 10 = 18 (left: 10 18)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n8 * 10 = 80 (left: 10 80)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n3 - 1 = 2 (left: 2 10)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n10 / 1 = 10 (left: 3 10)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n3 * 1 = 3 (left: 3 10)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 8 10 11",
|
|
"ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n1.125 + 11 = 12.125 (left: 12.125)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n11 - 1.125 = 9.875 (left: 9.875)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n11 * 1.125 = 12.375 (left: 12.375)\n",
|
|
"10 - 1 = 9 (left: 8 9 11)\n9 / 8 = 1.125 (left: 1.125 11)\n11 / 1.125 \u2248 9.778 (left: 9.778)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"11 - 1 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
],
|
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"values": [
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0.002,
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0.003,
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0.003,
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0.001,
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0.0,
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0.0,
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0.0,
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0.0,
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0.002,
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0.003,
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0.003,
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0.001,
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0.002,
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0.002,
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0,
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],
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"select_new_ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 8 10 11",
|
|
"ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 10 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 + 6 = 14 (left: 14 14 16)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 + 6 = 12 (left: 2 8 12)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n7 + 6 = 13 (left: 13 8 8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 4 = 1.5 (left: 1.5 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 8 = 0.75 (left: 0.75 14 16)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 14 = 0.42857 (left: 2 8 0.42857)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 16 = 0.375 (left: 8 8 0.375)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 6 = 1 (left: 2 8 1)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 7 = 0.85714 (left: 0.85714 8 8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 12 = 0.5 (left: 8 8 0.5)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 2 = 12 (left: 12 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 4 = 24 (left: 24 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 8 = 48 (left: 14 16 48)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 14 = 84 (left: 2 8 84)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 16 = 96 (left: 8 8 96)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 6 = 36 (left: 2 36 8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 7 = 42 (left: 42 8 8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 12 = 72 (left: 8 8 72)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 4 = 2 (left: 2 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 8 = -2 (left: -2 14 16)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 14 = -8 (left: 2 8 -8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 16 = -10 (left: 8 8 -10)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 6 = 0 (left: 2 8 0)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 7 = -1 (left: -1 8 8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 12 = -6 (left: 8 8 -6)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 - 6 = 2 (left: 2 14 16)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n2 - 6 = -4 (left: -4 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n2 * 20 = 40 (left: 8 8 14 20)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n8 * 5 = 40 (left: 2 8 14 5)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n14 + 26 = 40 (left: 2 8 8 26)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n14 * 2 = 28 (left: 2 8 8 28)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n14 * 3 = 42 (left: 2 8 8 42)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 2 = 38 (left: 8 8 14 38)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 8 = 32 (left: 2 8 14 32)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 14 = 26 (left: 2 8 8 26)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 2 = 20 (left: 8 8 14 20)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 8 = 5 (left: 2 8 14 5)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 14 \u2248 2.86 (not a whole number, so not valid)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 8 = 48 (left: 14 16 48)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 + 8 = 14 (left: 14 14 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n2 + 6 = 8 (left: 8 8 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n7 + 6 = 13 (left: 8 8 13)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 2 = 42 (left: 8 8 14 42)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 8 = 48 (left: 2 8 14 48)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 14 = 54 (left: 2 8 8 54)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 2 = 80 (left: 8 8 14 80)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 8 = 320 (left: 2 8 14 320)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 14 = 560 (left: 2 8 8 560)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 2 = 20 (left: 8 8 14 20)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 8 = 5 (left: 2 5 8 14)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 2 = 38 (left: 8 8 14 38)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 8 = 32 (left: 2 8 14 32)\n",
|
|
"11 - 8 = 3 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 14 = 26 (left: 2 8 8 26)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 + 2 = 22 (left: 8 8 14 22)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 + 8 = 28 (left: 2 8 14 28)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 + 14 = 34 (left: 2 8 8 34)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 * 2 = 40 (left: 8 8 14 40)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 / 2 = 10 (left: 8 8 10 14)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 2 = 18 (left: 8 8 14 18)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 8 = 12 (left: 2 8 12 14)\n",
|
|
"1 + 8 = 9 (left: 9 10 11)\n11 - 9 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n20 - 14 = 6 (left: 2 6 8 8)\n"
|
|
],
|
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"values": [
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0,
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0,
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0,
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0,
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0,
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0,
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0.003,
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0,
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],
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"select_new_ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 10 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 + 6 = 14 (left: 14 14 16)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 906,
|
|
"ys": [
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 10 8 14)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"8 - 1 = 7 (left: 7 10 11)\n11 - 7 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 + 6 = 14 (left: 14 14 16)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
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},
|
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{
|
|
"r": 0
|
|
},
|
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{
|
|
"r": 0
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|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 78790,
|
|
"prompt_tokens": 190896,
|
|
"cost": 10.45428
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 6 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n",
|
|
"6 - 3 = 3 (left: 2 3 9)\n",
|
|
"6 / 2 = 3 (left: 3 3 9)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n",
|
|
"9 - 6 = 3 (left: 2 3 6)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
41.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 6 9",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n5 + 6 = 11 (left: 9 11)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n6 - 5 = 1 (left: 1 9)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 6 = 3 (left: 3 5)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n5 * 6 = 30 (left: 9 30)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n6 / 5 = 1.2 (left: 1.2 9)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 / 5 = 1.8 (left: 1.8 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 / 6 = 1.5 (left: 1.5 5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n6 / 3 = 2 (left: 2 7)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n6 - 3 = 3 (left: 3 7)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n4 + 9 = 13 (left: 3 13)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 + 3 = 12 (left: 4 12)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 / 3 = 3 (left: 3 4)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n6 + 6 = 12 (left: 9 12)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n6 * 6 = 36 (left: 9 36)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n2 + 3 = 5 (left: 5 6)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n3 + 6 = 9 (left: 2 9)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n6 - 2 = 4 (left: 3 4)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n",
|
|
"9 / 3 = 3 (left: 2 3 6)\n6 / 3 = 2 (left: 2 2)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 6 9",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 / 6 = 0.67 (approx) (left: 0.67)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n7 - 9 = -2 (left: -2)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.001,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 6 9",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 + 3) * (9 - (2 + 3)) = 24\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 3) = 24\n",
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 - 2) * (9 - 3) = 24\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 + 7 = 9 (left: 9)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n7 - 2 = 5 (left: 5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n7 / 2 = 3.5 (left: 3.5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 2 = 65 (left: 8 8 14 65)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 2 = 126 (left: 8 8 14 126)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 2 = 61 (left: 8 8 14 61)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 2 = 31.5 (left: 8 8 14 31.5)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 8 = 71 (left: 2 14 71)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 8 = 504 (left: 2 14 504)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 8 = 55 (left: 2 14 55)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 8 = 7.875 (left: 2 14 7.875)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 14 = 77 (left: 2 8 77)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 14 = 882 (left: 2 8 882)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 14 = 49 (left: 2 8 49)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 14 = 4.5 (left: 2 8 4.5)\n"
|
|
],
|
|
"values": [
|
|
40.001,
|
|
0.003,
|
|
60.0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 - 2) * (9 - 3) = 24\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 + 3) * (9 - (2 + 3)) = 24\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 3) = 24\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 + 7 = 9 (left: 9)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 907,
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (6 - 2) * (9 - 3) = 24\n",
|
|
"2 + 3 = 5 (left: 5 6 9)\n9 - 5 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 + 3) * (9 - (2 + 3)) = 24\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 3) = 24\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n",
|
|
"9 - 2 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 + 7 = 9 (left: 9)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 84937,
|
|
"prompt_tokens": 206499,
|
|
"cost": 11.29119
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 3 5 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 4 5 9)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n",
|
|
"9 - 1 = 8 (left: 3 5 8)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n",
|
|
"3 * 5 = 15 (left: 1 9 15)\n",
|
|
"5 * 9 = 45 (left: 1 3 45)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
41.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
0.003,
|
|
22.0
|
|
],
|
|
"select_new_ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 3 5 9",
|
|
"ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n4 - 3 = 1 (left: 1 9)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 / 3 = 3 (left: 3 4)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n9 + 3 = 12 (left: 5 12)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 * 9 = 45 (left: 3 45)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n9 * 3 = 27 (left: 5 27)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 - 3 = 2 (left: 2 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n9 - 3 = 6 (left: 5 6)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n9 - 3 = 6 (left: 5 6)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 - 3 = 2 (left: 2 9)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 9 = 27 (left: 5 27)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 * 9 = 45 (left: 3 45)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n4 + 5 = 9 (left: 9 9)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n5 - 4 = 1 (left: 1 9)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n9 - 5 = 4 (left: 4 4)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n9 - 4 = 5 (left: 5 5)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n4 * 5 = 20 (left: 9 20)\n",
|
|
"1 + 3 = 4 (left: 4 5 9)\n9 / 4 = 2.25 (left: 2.25 5)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n2 + 5 = 7 (left: 7 9)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n5 - 2 = 3 (left: 3 9)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n9 - 2 = 7 (left: 5 7)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n9 - 5 = 4 (left: 2 4)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n2 * 5 = 10 (left: 9 10)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n5 / 2 = 2.5 (left: 2.5 9)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n9 / 2 = 4.5 (left: 5 4.5)\n",
|
|
"3 - 1 = 2 (left: 2 5 9)\n9 / 5 = 1.8 (left: 2 1.8)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 3 5 9",
|
|
"ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 / 6 = 0.67 (left: 0.67)\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer operation)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 * 15 = 135 (left: 135)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 / 3 = approximately 4.67 (left: 3 4.67)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n3 * 14 = 42 (left: 42)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 / 3 = 4.67 (left: 4.67)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 * 3 = 42 (left: 42)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 % 3 = 2 (left: 2)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.001,
|
|
60.0,
|
|
2.001,
|
|
2.0,
|
|
2.001,
|
|
60.0,
|
|
2.001,
|
|
0.002,
|
|
2.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 3 5 9",
|
|
"ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - 3) = 24\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (1 * 3) * 5 + 9 = 24\n",
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (9 / 1) + (3 * 5) = 24\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n-6 + 15 = 9 (left: 9)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n15 - (-6) = 21 (left: 21)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n15 * (-6) = -90 (left: -90)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 - 15 = -6 (left: -6 15) (not a positive integer result)\n15 / (-6) = -2.5 (left: -2.5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
40.001,
|
|
60.0,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (9 / 1) + (3 * 5) = 24\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (1 * 3) * 5 + 9 = 24\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - 3) = 24\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 908,
|
|
"ys": [
|
|
"9 / 1 = 9 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (9 / 1) + (3 * 5) = 24\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (1 * 3) * 5 + 9 = 24\n",
|
|
"5 - 1 = 4 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - 3) = 24\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"1 * 3 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 89435,
|
|
"prompt_tokens": 220232,
|
|
"cost": 11.97306
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 3 7 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 3 = 6 (left: 6 7 12)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n",
|
|
"12 / 3 = 4 (left: 4 7 3)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n",
|
|
"12 - 7 = 5 (left: 3 5 3)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 3 7 12",
|
|
"ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 + 4 = 7 (left: 7 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 + 12 = 16 (left: 3 16)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n6 + 7 = 13 (left: 12 13)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n7 + 12 = 19 (left: 6 19)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n12 - 6 = 6 (left: 6 7)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n12 / 6 = 2 (left: 2 7)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n7 - 6 = 1 (left: 1 12)\n",
|
|
"3 + 3 = 6 (left: 6 7 12)\n6 * 7 = 42 (left: 12 42)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n7 + 9 = 16 (left: 12 16)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n12 - 7 = 5 (left: 5 9)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n12 / 9 = 1.333 (left: 1.333 7)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n7 * 9 = 63 (left: 12 63)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n3 + 7 = 10 (left: 9 10)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n3 * 7 = 21 (left: 9 21)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n7 - 3 = 4 (left: 4 9)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n9 - 3 = 6 (left: 6 7)\n",
|
|
"12 - 3 = 9 (left: 3 7 9)\n9 / 3 = 3 (left: 3 7)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n3 + 10 = 13 (left: 12 13)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n10 - 3 = 7 (left: 7 12)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 - 3 = 9 (left: 9 10)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n3 * 10 = 30 (left: 12 30)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n10 * 12 = 120 (left: 3 120)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 3 7 12",
|
|
"ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"7 + 3 = 10 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 3 7 12",
|
|
"ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (7 - 3) * 3 + 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 3) * (12 - 4) = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (7 - 3) * 3 + 12 = 24\n",
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * 3 - 7) * 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 0 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n12 - 0 = 12 (left: 0 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 * 12 = 0 (left: 0 12)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * 3 - 7) * 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (7 - 3) * 3 + 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 3) * (12 - 4) = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (7 - 3) * 3 + 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 0 12)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 909,
|
|
"ys": [
|
|
"3 * 3 = 9 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (3 * 3 - 7) * 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (7 - 3) * 3 + 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 - 3) * (12 - 4) = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n4 * 3 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (7 - 3) * 3 + 12 = 24\n",
|
|
"7 - 3 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 0 12)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 93033,
|
|
"prompt_tokens": 232452,
|
|
"cost": 12.55554
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 5 7 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 5 = 9 (left: 7 9 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n",
|
|
"4 * 5 = 20 (left: 7 9 20)\n",
|
|
"5 * 7 = 35 (left: 4 9 35)\n",
|
|
"7 * 9 = 63 (left: 4 5 63)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n",
|
|
"5 - 7 = -2 (left: -2 4 9)\n",
|
|
"9 - 7 = 2 (left: 2 4 5)\n",
|
|
"9 - 4 = 5 (left: 5 5 7)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n",
|
|
"5 / 4 = 1.25 (left: 1.25 7 9)\n",
|
|
"9 / 4 = 2.25 (left: 2.25 5 7)\n",
|
|
"7 / 4 = 1.75 (left: 1.75 5 9)\n",
|
|
"9 / 7 = 1.2857 (left: 1.2857 4 5)\n",
|
|
"5 / 7 = 0.7143 (left: 0.7143 4 9)\n",
|
|
"4 / 9 = 0.4444 (left: 0.4444 5 7)\n",
|
|
"5 / 9 = 0.5556 (left: 0.5556 4 7)\n",
|
|
"7 / 9 = 0.7778 (left: 0.7778 4 5)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 5 7 9",
|
|
"ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n9 - 3 = 6 (left: 5 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n9 - 5 = 4 (left: 3 4)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 * 9 = 45 (left: 3 45)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n9 / 3 = 3 (left: 3 5)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n7 + 9 = 16 (left: 9 16)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n9 - 7 = 2 (left: 2 9)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n7 * 9 = 63 (left: 9 63)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n9 / 7 = 1.29 (approx.) (left: 1.29 9)\n",
|
|
"4 + 5 = 9 (left: 7 9 9)\n7 - 9 = -2 (left: -2 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 + 9 = 13 (left: 12 13)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n12 - 4 = 8 (left: 8 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n12 - 9 = 3 (left: 3 4)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n12 / 4 = 3 (left: 3 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n4 + 5 = 9 (left: 9 16)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n5 + 16 = 21 (left: 4 21)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n16 - 4 = 12 (left: 5 12)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n16 - 5 = 11 (left: 4 11)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n4 * 5 = 20 (left: 20 16)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n5 * 16 = 80 (left: 4 80)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n16 / 4 = 4 (left: 4 5)\n",
|
|
"7 + 9 = 16 (left: 4 5 16)\n16 / 5 = 3.2 (left: 4 3.2)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n7 + (-1) = 6 (left: 6 9)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n9 + (-1) = 8 (left: 7 8)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n7 - (-1) = 8 (left: 8 9)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n9 - 7 = 2 (left: 2 -1)\n",
|
|
"4 - 5 = -1 (left: -1 7 9)\n9 - (-1) = 10 (left: 7 10)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
40.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 5 7 9",
|
|
"ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 * 15 = 135 (left: 135)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n12 + 36 = 48 (left: 48)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n12 * 3 = 36 (left: 36)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 / 12 = 3 (left: 3)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 / 3 = 4.67 (left: 4.67)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n5 + 9 = 14 (left: 3 14)\n14 * 3 = 42 (left: 42)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n9 - 8 = 1 (left: 1)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 + 5 = 8 (left: 8 9)\n9 / 8 = 1.125 (left: 1.125)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
2.001,
|
|
0.002,
|
|
2.0,
|
|
0.002,
|
|
0.003,
|
|
60.0,
|
|
0,
|
|
0.003,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 5 7 9",
|
|
"ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\nAnswer: (4 * 9) - (5 + 7) = 24\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n1.67 + 9 = 10.67 (left: 10.67)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n9 - 1.67 = 7.33 (left: 7.33)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n1.67 * 9 = 15.03 (left: 15.03)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9) (not an integer result, so not ideal for this game)\n9 / 1.67 \u2248 5.39 (left: 5.39)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 8 = 7.5 (not an integer, not a possible next step)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 + 2 = 16 (left: 8 8 16 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 * 2 = 28 (left: 8 8 28 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 + 2 = 10 (left: 10 14 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 * 2 = 16 (left: 14 16 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 - 2 = 6 (left: 6 8 14 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 - 2 = 12 (left: 8 12 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 - 8 = 6 (left: 2 6 60)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 14 = 4.28 (not an integer, not a possible next step)\n",
|
|
"5 + 7 = 12 (left: 4 9 12)\n9 - 4 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
2.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\nAnswer: (4 * 9) - (5 + 7) = 24\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 910,
|
|
"ys": [
|
|
"5 + 7 = 12 (left: 4 9 12)\n4 * 9 = 36 (left: 12 36)\n36 - 12 = 24 (left: 24)\nAnswer: (4 * 9) - (5 + 7) = 24\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (7 - 4) * 5 + 9 = 24\n",
|
|
"7 - 4 = 3 (left: 3 5 9)\n3 * 5 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 102137,
|
|
"prompt_tokens": 254280,
|
|
"cost": 13.75662
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 2 8 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 8 13)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n",
|
|
"1 + 13 = 14 (left: 2 8 14)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n",
|
|
"1 * 2 = 2 (left: 2 8 13)\n",
|
|
"2 * 8 = 16 (left: 1 13 16)\n",
|
|
"2 * 13 = 26 (left: 1 8 26)\n",
|
|
"8 * 13 = 104 (left: 1 2 104)\n",
|
|
"1 - 2 = -1 (left: -1 8 13)\n",
|
|
"2 - 8 = -6 (left: 1 -6 13)\n",
|
|
"8 - 13 = -5 (left: 1 2 -5)\n",
|
|
"2 - 1 = 1 (left: 1 8 13)\n",
|
|
"8 - 2 = 6 (left: 1 6 13)\n",
|
|
"13 - 1 = 12 (left: 2 8 12)\n",
|
|
"13 - 2 = 11 (left: 1 8 11)\n",
|
|
"13 - 8 = 5 (left: 1 2 5)\n"
|
|
],
|
|
"values": [
|
|
22.0,
|
|
60.0,
|
|
0,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0,
|
|
3.0,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 8 13",
|
|
"ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n9 - 2 = 7 (left: 7 13)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n13 - 2 = 11 (left: 9 11)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n13 / 2 = 6.5 (left: 6.5 9)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 * 9 = 18 (left: 13 18)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 - 1 = 9 (left: 9 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n13 - 1 = 12 (left: 10 12)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n13 - 10 = 3 (left: 1 3 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n13 / 1 = 13 (left: 10 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 * 10 = 10 (left: 10 13)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n8 - 1 = 7 (left: 7 15)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 - 8 = 7 (left: 1 7)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 / 1 = 15 (left: 8 15)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 - 1 = 14 (left: 8 14)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n1 + 2 = 3 (left: 3 21)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n2 + 21 = 23 (left: 1 23)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n1 * 2 = 2 (left: 2 21)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n21 - 1 = 20 (left: 2 20)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n21 - 2 = 19 (left: 1 19)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n21 / 1 = 21 (left: 2 21)\n",
|
|
"8 + 13 = 21 (left: 1 2 21)\n2 * 21 = 42 (left: 1 42)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n8 - 3 = 5 (left: 5 13)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n13 - 3 = 10 (left: 8 10)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n3 * 8 = 24 (left: 13 24)\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n13 / 3 \u2248 4.33 (left: 4.33 8) [not an integer operation]\n",
|
|
"1 + 2 = 3 (left: 3 8 13)\n8 / 3 \u2248 2.67 (left: 2.67 13) [not an integer operation]\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 8 13",
|
|
"ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 * 15 = 135 (left: 135)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n16 * 8 = 128 (left: 128)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
0.002,
|
|
2.0,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 8 13",
|
|
"ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 + 8) + (2 + 9) = 24\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 + 2 + 8) + 13 = 24\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (2 + 8) + (13 - 1) = 24\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (2 + 13) + (1 + 8) = 24\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (2 + 13) + (8 + 1) = 24\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 + 8) + (2 + 9) = 24\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 + 2 + 8) + 13 = 24\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (2 + 8) + (13 - 1) = 24\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (2 + 13) + (1 + 8) = 24\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (2 + 13) + (8 + 1) = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 911,
|
|
"ys": [
|
|
"1 + 8 = 9 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 + 8) + (2 + 9) = 24\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n1 + 10 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 + 2 + 8) + 13 = 24\n",
|
|
"2 + 8 = 10 (left: 1 10 13)\n10 + 1 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (2 + 8) + (13 - 1) = 24\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n1 + 8 = 9 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (2 + 13) + (1 + 8) = 24\n",
|
|
"2 + 13 = 15 (left: 1 8 15)\n15 + 1 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (2 + 13) + (8 + 1) = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
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},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 107828,
|
|
"prompt_tokens": 272558,
|
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"cost": 14.646419999999999
|
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}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 6 6 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n",
|
|
"9 - 6 = 3 (left: 3 4 6)\n",
|
|
"9 / 4 = 2.25 (left: 2.25 6 6)\n",
|
|
"9 - 4 = 5 (left: 5 6 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
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3.0,
|
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3.0,
|
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3.0,
|
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3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 6 6 9",
|
|
"ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 - 6 = 3 (left: 3 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 - 6 = 4 (left: 4 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 - 9 = 1 (left: 1 6)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 * 9 = 54 (left: 10 54)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 / 9 = 2/3 (left: 2/3 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n6 / 1.5 = 4 (left: 4 9)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n9 - 1.5 = 7.5 (left: 6 7.5)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n9 / 1.5 = 6 (left: 6 6)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n6 - 1.5 = 4.5 (left: 4.5 9)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n9 - 6 = 3 (left: 1.5 3)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n6 + 6 = 12 (left: 12 13)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n6 * 6 = 36 (left: 13 36)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n13 - 6 = 7 (left: 6 7)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n13 / 6 = approx. 2.17 (left: 2.17 6)\n",
|
|
"9 + 4 = 13 (left: 6 6 13)\n13 + 6 = 19 (left: 6 19)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n6 + 9 = 15 (left: 15 24)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n9 - 6 = 3 (left: 3 24)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n24 - 6 = 18 (left: 9 18)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n24 - 9 = 15 (left: 6 15)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n24 / 6 = 4 (left: 4 9)\n",
|
|
"4 * 6 = 24 (left: 6 9 24)\n24 / 9 = 8/3 (left: 6 8/3)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n9 + 2 = 11 (left: 6 11)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n2 * 6 = 12 (left: 9 12)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n9 / 2 = 4.5 (left: 4.5 6)\n",
|
|
"6 - 4 = 2 (left: 2 6 9)\n9 - 2 = 7 (left: 6 7)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 6 6 9",
|
|
"ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n(5/3) + 9 = 32/3 (left: 32/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n6 + 10/9 = 64/9 (left: 64/9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n6 - 10/9 = 44/9 (left: 44/9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n6 * 10/9 = 20/3 (left: 20/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 9 = 10/9 (left: 6 10/9)\n6 / (10/9) = 54/10 (left: 54/10)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n7.5 + 9 = 16.5 (left: 16.5)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n7.5 - 9 = -1.5 (left: -1.5)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n9 - 7.5 = 1.5 (left: 1.5)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n7.5 * 9 = 67.5 (left: 67.5)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n9 / 7.5 = 1.2 (left: 1.2)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 6 9)\n1.5 + 6 = 7.5 (left: 7.5 9)\n7.5 / 9 = 0.8333 (left: 0.8333)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 * 15 = 150 (left: 150)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n10 / 1.5 = 6.6667 (left: 6.6667)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n9 / 6 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.001,
|
|
0.001,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 6 6 9",
|
|
"ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n(5/3) + (22/3) = 27/3 (left: 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n(22/3) - (5/3) = 17/3 (left: 17/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n(5/3) * (22/3) = 110/9 (left: 110/9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n(22/3) / (5/3) = 22/5 (left: 22/5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 - (5/3) = 22/3 (left: 5/3 22/3)\n(5/3) / (22/3) = 5/22 (left: 5/22)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n(5/3) * 15 = 25 (left: 25)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n15 / (5/3) = 9 (left: 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n15 + (5/3) = 20/3 (left: 20/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n15 - (5/3) = 40/3 (left: 40/3)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n(5/3) + (27/5) = 86/15 (left: 86/15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n(27/5) - (5/3) = 56/15 (left: 56/15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n(5/3) * (27/5) = 9 (left: 9)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n(27/5) / (5/3) = 81/5 (left: 81/5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 / (5/3) = 27/5 (left: 5/3 27/5)\n(5/3) / (27/5) = 25/81 (left: 25/81)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 / 1.5 \u2248 6.67 (left: 6.67)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n10 - 5 = 5 (left: 5 5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 * 10 = 50 (left: 50)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n10 / 5 = 2 (left: 2 5)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0.003,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n(5/3) * 15 = 25 (left: 25)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 912,
|
|
"ys": [
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n10 / 6 = 5/3 (left: 5/3 9)\n9 * (5/3) = 15 (left: 5/3 15)\n(5/3) * 15 = 25 (left: 25)\n",
|
|
"4 + 6 = 10 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
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},
|
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{
|
|
"r": 0
|
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},
|
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{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 115534,
|
|
"prompt_tokens": 291419,
|
|
"cost": 15.674609999999998
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 4 4 8",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 4 = 5 (left: 4 5 8)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n",
|
|
"4 - 1 = 3 (left: 3 4 8)\n",
|
|
"8 - 4 = 4 (left: 1 4 4)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n",
|
|
"8 - 1 = 7 (left: 4 4 7)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 4 4 8",
|
|
"ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n5 - 4 = 1 (left: 1 8)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n8 - 4 = 4 (left: 4 5)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n8 - 5 = 3 (left: 3 4)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n8 / 4 = 2 (left: 2 5)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n4 + 4 = 8 (left: 8 9)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n4 * 4 = 16 (left: 9 16)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n9 - 4 = 5 (left: 4 5)\n",
|
|
"8 + 1 = 9 (left: 4 4 9)\n9 / 4 = 2.25 (left: 2.25 4)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 + 8 = 12 (left: 4 12)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 8 = 32 (left: 4 32)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 4 4 8",
|
|
"ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n8 + 9 = 17 (left: 17)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n8 - 9 = -1 (left: -1)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n9 - 8 = 1 (left: 1)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n8 * 9 = 72 (left: 72)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 + 5 = 9 (left: 8 9)\n9 / 8 = 1.125 (left: 1.125)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n8 + 20 = 28 (left: 28)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n8 * 20 = 160 (left: 160)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
2.001,
|
|
2.001,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 4 4 8",
|
|
"ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (4 / 1) * 4 + 8 = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (8 / 1) + (4 * 4) = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (1 * 4) * 4 + 8 = 24\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5)\n",
|
|
"1 + 4 = 5 (left: 4 5 8)\n4 * 5 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
20.002,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (4 / 1) * 4 + 8 = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (1 * 4) * 4 + 8 = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (8 / 1) + (4 * 4) = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 913,
|
|
"ys": [
|
|
"4 / 1 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (4 / 1) * 4 + 8 = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"1 * 4 = 4 (left: 4 8 4)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (1 * 4) * 4 + 8 = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (8 / 1) + (4 * 4) = 24\n",
|
|
"8 / 1 = 8 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 118546,
|
|
"prompt_tokens": 301499,
|
|
"cost": 16.15773
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 5 10 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n",
|
|
"10 / 5 = 2 (left: 1 2 11)\n",
|
|
"10 - 5 = 5 (left: 1 5 11)\n",
|
|
"11 - 5 = 6 (left: 1 6 10)\n",
|
|
"11 / 5 = 2.2 (not a valid step, as it does not result in an integer)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 5 10 11",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 + 10 = 16 (left: 11 16)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 - 6 = 4 (left: 4 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 - 6 = 5 (left: 5 10)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 - 10 = 1 (left: 1 6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 * 10 = 60 (left: 11 60)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 * 11 = 110 (left: 6 110)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 10 = 1.1 (left: 1.1 6)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n4 + 10 = 14 (left: 11 14)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n10 + 11 = 21 (left: 4 21)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n4 * 10 = 40 (left: 11 40)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 * 4 = 44 (left: 10 44)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n10 - 4 = 6 (left: 6 11)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 10 = 1 (left: 1 4)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n5 + 11 = 16 (left: 11 16)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 - 5 = 6 (left: 6 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n5 * 11 = 55 (left: 11 55)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n5 + 10 = 15 (left: 10 15)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n10 - 5 = 5 (left: 5 10)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n10 / 5 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 5 10 10)\n5 * 10 = 50 (left: 10 50)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n1 + 5 = 6 (left: 6 11)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n5 - 1 = 4 (left: 4 11)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n11 + 1 = 12 (left: 5 12)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n11 - 1 = 10 (left: 5 10)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n11 - 5 = 6 (left: 1 6)\n",
|
|
"11 - 10 = 1 (left: 1 5 11)\n11 / 1 = 11 (left: 5 11)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001,
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0.003,
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0.003,
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0.003,
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2.001,
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1.002,
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0.003,
|
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0.003
|
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],
|
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"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 5 10 11",
|
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"ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n1.6667 + 11 = 12.6667 (left: 12.6667)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 - 1.6667 = 9.3333 (left: 9.3333)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n1.6667 * 11 \u2248 18.3337 (left: 18.3337)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n2.2 + 11 = 13.2 (left: 13.2)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n11 - 2.2 = 8.8 (left: 8.8)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n11 / 2.2 = 5 (left: 5)\n",
|
|
"10 + 1 = 11 (left: 5 11 11)\n11 / 5 = 2.2 (left: 2.2 11)\n2.2 * 11 = 24.2 (left: 24.2)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n11 - 0.6 = 10.4 (left: 10.4)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n11 * 0.6 = 6.6 (left: 6.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n11 / 0.6 \u2248 18.33 (left: 18.33)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n1.8333 + 10 = 11.8333 (left: 11.8333)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n10 - 1.8333 = 8.1667 (left: 8.1667)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n10 / 1.8333 \u2248 5.4545 (left: 5.4545)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n11 / 6 = 1.8333 (left: 1.8333 10)\n1.8333 * 10 = 18.333 (left: 18.333)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n"
|
|
],
|
|
"values": [
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0.0,
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0.001,
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0.002,
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0.001,
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0.001,
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0.003,
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],
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"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 5 10 11",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 2 = 13.6 (left: 8 8 13.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 8 = 19.6 (left: 2 8 19.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 14 = 25.6 (left: 2 8 25.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 8 8 23.2)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 / 2 = 5.8 (left: 5.8 8 14)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 - 2 = 9.6 (left: 8 8 9.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 - 8 = 3.6 (left: 2 3.6 14)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 - 14 = -2.4 (left: 2 8 -2.4)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 8 = 25 (left: 2 8 14 25)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 8 31)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 8 = 9 (left: 2 8 14 9)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 14 = 3 (left: 2 8 8 3)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 + 7 = 10 (left: 10)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 2 = 72 (left: 8 8 14 72)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 2 = 68 (left: 8 8 14 68)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 2 = 35 (left: 8 8 14 35)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 * 2 = 140 (left: 8 8 14 140)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n2 * 70 = 140 (left: 8 8 14 140)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 8 = 78 (left: 2 8 14 78)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 8 = 62 (left: 2 8 14 62)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 8 = 8.75 (not a whole number)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 * 8 = 560 (left: 2 14 560)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n8 * 70 = 560 (left: 2 14 560)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 14 = 84 (left: 2 8 84)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 14 = 56 (left: 2 8 56)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 14 = 5 (left: 2 8 5 8)\n",
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 * 14 = 980 (left: 2 8 980)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n6.6 + 2 = 8.6 (left: 8 8 14 8.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n6.6 + 8 = 14.6 (left: 2 8 14 14.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n6.6 + 14 = 20.6 (left: 2 8 8 20.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n6.6 * 2 = 13.2 (left: 8 8 14 13.2)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n6.6 * 8 = 52.8 (left: 2 8 14 52.8)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n14 - 6.6 = 7.4 (left: 2 8 8 7.4)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n8 - 6.6 = 1.4 (left: 2 1.4 8 14)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n10 / 6 = 1.6667 (left: 1.6667 11)\n11 / 1.6667 \u2248 6.6 (left: 6.6)\n2 - 6.6 = -4.6 (left: -4.6 8 8 14)\n"
|
|
],
|
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"values": [
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0.0,
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0.002,
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0,
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0,
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0
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],
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"select_new_ys": [
|
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"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 2 = 13.6 (left: 8 8 13.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 8 = 19.6 (left: 2 8 19.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 14 = 25.6 (left: 2 8 25.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 8 8 23.2)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 914,
|
|
"ys": [
|
|
"5 - 1 = 4 (left: 4 10 11)\n11 - 4 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 2 = 13.6 (left: 8 8 13.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 8 = 19.6 (left: 2 8 19.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 + 14 = 25.6 (left: 2 8 25.6)\n",
|
|
"1 + 5 = 6 (left: 6 10 11)\n6 / 10 = 0.6 (left: 0.6 11)\n0.6 + 11 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 8 8 23.2)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
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}
|
|
],
|
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"usage_so_far": {
|
|
"completion_tokens": 128582,
|
|
"prompt_tokens": 323606,
|
|
"cost": 17.423099999999998
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 4 6 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n",
|
|
"3 * 4 = 12 (left: 6 11 12)\n",
|
|
"4 * 6 = 24 (left: 3 11 24)\n",
|
|
"6 * 11 = 66 (left: 3 4 66)\n",
|
|
"3 - 4 = 1 (left: 1 6 11)\n",
|
|
"4 - 3 = 1 (left: 1 6 11)\n",
|
|
"6 - 3 = 3 (left: 3 4 11)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n",
|
|
"11 - 6 = 5 (left: 3 4 5)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 6 11)\n",
|
|
"6 / 3 = 2 (left: 2 4 11)\n",
|
|
"11 / 3 = 3.67 (left: 3.67 4 6)\n",
|
|
"11 / 4 = 2.75 (left: 2.75 3 6)\n",
|
|
"6 / 4 = 1.5 (left: 1.5 3 11)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
22.0,
|
|
60.0,
|
|
3.0,
|
|
22.0,
|
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0.003,
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3.0,
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3.0,
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3.0,
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60.0,
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60.0,
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3.0,
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2.0,
|
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3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 4 6 11",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n7 - 6 = 1 (left: 1 11)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 6 = 5 (left: 5 7)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 * 7 = 42 (left: 11 42)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n7 * 11 = 77 (left: 6 77)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n4 - 3 = 1 (left: 1 17)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n17 - 3 = 14 (left: 4 14)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n17 - 4 = 13 (left: 3 13)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 * 4 = 12 (left: 12 17)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n17 / 3 = approx. 5.67 (left: approx. 5.67 4)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n17 / 4 = approx. 4.25 (left: 3 approx. 4.25)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n4 + 6 = 10 (left: 8 10)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 / 4 = 2 (left: 2 6)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n3 + 6 = 9 (left: 7 9)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n6 / 3 = 2 (left: 2 7)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n7 - 3 = 4 (left: 4 6)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n7 - 6 = 1 (left: 1 3)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n6 - 3 = 3 (left: 3 7)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n3 * 6 = 18 (left: 7 18)\n",
|
|
"11 - 4 = 7 (left: 3 6 7)\n7 * 3 = 21 (left: 6 21)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n10 - 3 = 7 (left: 7 11)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n11 - 3 = 8 (left: 8 10)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n11 - 10 = 1 (left: 1 3)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n10 / 3 = 3.33 (left: 3.33 11)\n",
|
|
"4 + 6 = 10 (left: 3 10 11)\n11 / 3 = 3.67 (left: 3.67 10)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.002,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 4 6 11",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 / 6 = 0.67 (left: 0.67)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n18 - 6 = 12 (left: 12)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 * 18 = 108 (left: 108)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 + 17 = 24 (left: 24)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n17 - 7 = 10 (left: 10)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n17 / 7 \u2248 2.43 (left: 2.43)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 * 17 = 119 (left: 119)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.001,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
1.002,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 + 17 = 24 (left: 24)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 4 6 11",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 + 17 = 24 (left: 24)\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 4) + (6 + 11) = 24\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - (3 + 4)) * 6 = 24\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (3 + 4) + (11 + 6) = 24\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 + 17 = 24 (left: 24)\nAnswer: (6 + 11) + (3 + 4) = 24\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (11 - 3 - 4) = 24\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - (3 + 4)) * 6 = 24\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (11 - 3 - 4) = 24\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 4) + (6 + 11) = 24\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (3 + 4) + (11 + 6) = 24\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 + 17 = 24 (left: 24)\nAnswer: (6 + 11) + (3 + 4) = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 915,
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 - 7 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - (3 + 4)) * 6 = 24\n",
|
|
"11 - 3 = 8 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (11 - 3 - 4) = 24\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n6 + 7 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 4) + (6 + 11) = 24\n",
|
|
"3 + 4 = 7 (left: 6 7 11)\n11 + 7 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (3 + 4) + (11 + 6) = 24\n",
|
|
"6 + 11 = 17 (left: 3 4 17)\n3 + 4 = 7 (left: 7 17)\n7 + 17 = 24 (left: 24)\nAnswer: (6 + 11) + (3 + 4) = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 134715,
|
|
"prompt_tokens": 341530,
|
|
"cost": 18.3288
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 4 8 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n",
|
|
"8 + 2 = 10 (left: 4 9 10)\n",
|
|
"4 * 2 = 8 (left: 8 8 9)\n",
|
|
"8 / 2 = 4 (left: 4 4 9)\n",
|
|
"9 / 2 = 4.5 (left: 2 4 8) (if decimal numbers are allowed)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n",
|
|
"8 - 4 = 4 (left: 2 4 9)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
41.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 4 8 9",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n6 + 8 = 14 (left: 9 14)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 - 6 = 2 (left: 2 9)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n6 * 8 = 48 (left: 9 48)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 8 = 1 (left: 1 6)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 * 6 = 54 (left: 8 54)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n2 + 5 = 7 (left: 7 8)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n8 - 2 = 6 (left: 5 6)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n8 / 2 = 4 (left: 4 5)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 / 2 = 2.5 (left: 2.5 8)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n4 + 7 = 11 (left: 8 11)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n4 / 7 = 0.57 (left: 0.57 8) (not suitable as it's a decimal)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 / 4 = 1.75 (left: 1.75 8) (not suitable as it's a decimal)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n2 + 8 = 10 (left: 9 10)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n8 / 2 = 4 (left: 4 9)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n9 + 2 = 11 (left: 8 11)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n9 - 2 = 7 (left: 7 8)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n8 - 2 = 6 (left: 6 9)\n",
|
|
"4 / 2 = 2 (left: 2 8 9)\n9 / 2 = 4.5 (left: 4.5 8)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n4 + 8 = 12 (left: 11 12)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n8 - 4 = 4 (left: 4 11)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n11 - 4 = 7 (left: 7 8)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n11 - 8 = 3 (left: 3 4)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n11 / 4 = 2.75 (left: 2.75 8)\n",
|
|
"9 + 2 = 11 (left: 4 8 11)\n4 * 8 = 32 (left: 11 32)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 4 8 9",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n8 / 3 \u2248 2.67 (left: 2.67)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n4/3 + 9 = 31/3 (left: 31/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 * 4/3 = 12 (left: 12)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 / (4/3) = 27/4 (left: 27/4)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n3/2 + 8 = 17/2 (left: 17/2)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n8 - 3/2 = 13/2 (left: 13/2)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n8 * 3/2 = 12 (left: 12)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 / 6 = 3/2 (left: 3/2 8)\n8 / 3/2 = 16/3 (left: 16/3)\n"
|
|
],
|
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"values": [
|
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0.003,
|
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0.0,
|
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60.0,
|
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0.0,
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0.003,
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0.0,
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60.0,
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0.0,
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0.003,
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0.0,
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60.0,
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0.0,
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0.003,
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2.001,
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0.002,
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0.003,
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0.0,
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0.002,
|
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0.002,
|
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0.0
|
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],
|
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"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 4 8 9",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (2 + 4)) * 8 = 24\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (9 - 4) - 2 = 24\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 4) = 24\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 + 3 = 26 (left: 26/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 - 3 = 20 (left: 20/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 * 3 = 69 (left: 69/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 / 3 = 7.67 (left: 7.67)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n3 - 23 = -20 (left: -20/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n3 / 23 = 0.13 (left: 0.13)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 + 11 = 13 (left: 8 8 14 13)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 + 11 = 19 (left: 2 8 14 19)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 + 11 = 25 (left: 2 8 8 25)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
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0,
|
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0.0,
|
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0,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
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0,
|
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0,
|
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0,
|
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0
|
|
],
|
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"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (2 + 4)) * 8 = 24\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (9 - 4) - 2 = 24\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 4) = 24\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 + 3 = 26 (left: 26/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 - 3 = 20 (left: 20/3)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 916,
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - (2 + 4)) * 8 = 24\n",
|
|
"9 - 4 = 5 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (9 - 4) - 2 = 24\n",
|
|
"9 - 2 = 7 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 2) * (7 - 4) = 24\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 + 3 = 26 (left: 26/3)\n",
|
|
"2 + 4 = 6 (left: 6 8 9)\n8 / 6 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 - 3 = 20 (left: 20/3)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
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{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
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}
|
|
],
|
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"usage_so_far": {
|
|
"completion_tokens": 140920,
|
|
"prompt_tokens": 358571,
|
|
"cost": 19.21233
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 4 5 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 4 = 5 (left: 5 5 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n",
|
|
"13 - 4 = 9 (left: 1 5 9)\n",
|
|
"13 - 5 = 8 (left: 1 4 8)\n",
|
|
"5 * 1 = 5 (left: 4 5 13)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
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3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 4 5 13",
|
|
"ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 + 3 = 16 (left: 5 16)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 * 5 = 15 (left: 13 15)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 3 = 10 (left: 5 10)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 - 3 = 2 (left: 2 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n5 + 5 = 10 (left: 10 13)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n5 * 5 = 25 (left: 13 25)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n13 - 5 = 8 (left: 5 8)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n13 + 5 = 18 (left: 5 18)\n",
|
|
"1 + 4 = 5 (left: 5 5 13)\n13 / 5 = 2.6 (left: 2.6 5)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n4 + 5 = 9 (left: 9 12)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n5 + 12 = 17 (left: 4 17)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n",
|
|
"13 - 1 = 12 (left: 4 5 12)\n5 - 4 = 1 (left: 1 12)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n4 + 5 = 9 (left: 9 13)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n4 * 5 = 20 (left: 13 20)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 5 = 8 (left: 4 8)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n5 - 4 = 1 (left: 1 13)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n4 + 4 = 8 (left: 8 13)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n4 * 4 = 16 (left: 13 16)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n13 + 4 = 17 (left: 4 17)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n13 - 4 = 9 (left: 4 9)\n",
|
|
"5 - 1 = 4 (left: 4 4 13)\n13 / 4 = 3.25 (left: 3.25 4)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 4 5 13",
|
|
"ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 + 5 = 9.33 (left: 9.33)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 - 5 = -0.67 (left: -0.67)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n5 - 4.33 = 0.67 (left: 0.67)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 * 5 = 21.65 (left: 21.65)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n5 / 4.33 \u2248 1.15 (left: 1.15)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n3 + 18 = 21 (left: 21)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n18 / 3 = 6 (left: 6)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n18 - 3 = 15 (left: 15)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n3 * 18 = 54 (left: 54)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"1 * 4 = 4 (left: 4 5 13)\n13 - 4 = 9 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
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0.0,
|
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0.001,
|
|
0.001,
|
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0.001,
|
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0.001,
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0.003,
|
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0,
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0.003,
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0.003,
|
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2.001,
|
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0,
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0.003,
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0.003,
|
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0,
|
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0.002,
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0.003,
|
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0.003,
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0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 4 5 13",
|
|
"ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 - 1) * (13 - 5) = 24\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 - 1.625 = 6.375 (left: 6.375)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 / 1.625 \u2248 4.923 (left: 4.923)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 * 8 = 13 (left: 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 / 11 = ~1.27 (not a whole number, so not included)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 / 3 = 4.33 (approximately, left: 4.33 5)\n4.33 / 5 \u2248 0.87 (left: 0.87)\nThere are not enough numbers provided to perform any operations. Please provide at least two numbers for possible next steps.\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 + 8 = 13 (left: 13)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n8 - 5 = 3 (left: 3)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n8 / 5 = 1.6 (left: 1.6)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 - 1) * (13 - 5) = 24\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 - 1.625 = 6.375 (left: 6.375)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 / 1.625 \u2248 4.923 (left: 4.923)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 917,
|
|
"ys": [
|
|
"4 - 1 = 3 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 - 1) * (13 - 5) = 24\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 - 1.625 = 6.375 (left: 6.375)\n",
|
|
"4 - 1 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 / 1.625 \u2248 4.923 (left: 4.923)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 146103,
|
|
"prompt_tokens": 374976,
|
|
"cost": 20.015459999999997
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 2 7 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 7 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n",
|
|
"7 * 2 = 14 (left: 2 12 14)\n",
|
|
"12 - 7 = 5 (left: 2 5 7)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 2 = 4 (left: 4 7 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 2 7 12",
|
|
"ys": [
|
|
"2 + 2 = 4 (left: 4 7 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 7 12)\n4 + 7 = 11 (left: 11 12)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 * 4 = 28 (left: 12 28)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n4 + 7 = 11 (left: 11 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n4 * 7 = 28 (left: 12 28)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 * 12 = 84 (left: 4 84)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n12 / 2 = 6 (left: 5 6)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 + 7 = 9 (left: 9 10)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n7 - 2 = 5 (left: 5 10)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n10 - 2 = 8 (left: 7 8)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n10 / 2 = 5 (left: 5 7)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n2 + 6 = 8 (left: 7 8)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 / 2 = 3.5 (left: 3.5 6)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 2 7 12",
|
|
"ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 - 14 = -4 (left: -4)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"7 - 2 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n6 / 9 (not a whole number)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 / 6 (not a whole number)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 2 7 12",
|
|
"ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (12 - 2) + (2 * 7) = 24\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n2 + 15 = 17 (left: 8 8 14 17)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n2 * 15 = 30 (left: 8 8 14 30)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 2 = 7.5 (left: 7.5 8 8 14)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 2 = 38 (left: 8 8 14 38)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 8 = 44 (left: 2 8 14 44)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 14 = 50 (left: 2 8 8 50)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n2 * 36 = 72 (left: 8 8 14 72)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n8 * 36 = 288 (left: 2 14 288)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n14 * 36 = 504 (left: 2 8 8 504)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 8 = 4.5 (left: 2 4.5 14)\n",
|
|
"2 + 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 14 = 2.57 (not a whole number)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n2 + 15 = 17 (left: 8 8 14 17)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n8 - 15 = -7 (left: -7 8 14)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n14 - 15 = -1 (left: 2 8 -1)\n",
|
|
"2 * 2 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 2 = 7.5 (left: 7.5 8 8 14)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (12 - 2) + (2 * 7) = 24\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 918,
|
|
"ys": [
|
|
"12 - 2 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (12 - 2) + (2 * 7) = 24\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"12 / 2 = 6 (left: 2 6 7)\n7 + 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 151531,
|
|
"prompt_tokens": 386943,
|
|
"cost": 20.70015
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 3 6 7",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 3 = 6 (left: 6 6 7)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n",
|
|
"7 - 6 = 1 (left: 1 3 3)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n",
|
|
"7 / 3 = 2.333 (left: 2.333 3 6) (not a whole number)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 3 = 6 (left: 6 6 7)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 3 6 7",
|
|
"ys": [
|
|
"3 + 3 = 6 (left: 6 6 7)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 / 6 = 1 (left: 1 7)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n7 - 3 * 3 = 1 (left: 1 3)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n7 + 3 = 10 (left: 3 10)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n7 / 3 = 2.333 (left: 2.333 3) (not a whole number, so may not be ideal)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 + 4 = 7 (left: 6 7)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n4 + 6 = 10 (left: 3 10)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n6 - 3 = 3 (left: 3 4)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n6 / 3 = 2 (left: 2 4)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n4 - 3 = 1 (left: 1 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n4 * 6 = 24 (left: 3 24)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n6 + 7 = 13 (left: 9 13)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n7 - 6 = 1 (left: 1 9)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n9 - 6 = 3 (left: 3 7)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n9 - 7 = 2 (left: 2 6)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n6 * 7 = 42 (left: 9 42)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n7 * 9 = 63 (left: 6 63)\n",
|
|
"3 * 3 = 9 (left: 6 7 9)\n6 / 3 = 2 (left: 2 9)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n2 + 3 = 5 (left: 5 7)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n2 * 3 = 6 (left: 6 7)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n7 / 2 = 3.5 (left: 3 3.5)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n7 / 3 = 2.33 (left: 2 2.33)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 3 6 7",
|
|
"ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 - 9 = -2 (left: -2)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"6 / 3 = 2 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n7 - 1 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 3 6 7",
|
|
"ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 + 6 = 18 (left: 18)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 - 6 = 6 (left: 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n6 * 12 = 72 (left: 72)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 / 6 = 2 (left: 2)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"3 + 3 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n2 + 6 = 8 (left: 8)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n6 - 2 = 4 (left: 4)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n2 * 6 = 12 (left: 12)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n6 / 2 = 3 (left: 3)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 2 = 65 (left: 8 8 14 65)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 2 = 61 (left: 8 8 14 61)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 2 = 31.5 (left: 8 8 14 31.5)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 2 = 126 (left: 8 8 14 126)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 8 = 71 (left: 2 14 71)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 8 = 55 (left: 2 14 55)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 8 = 7.875 (left: 2 14 7.875)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 8 = 504 (left: 2 14 504)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 14 = 77 (left: 2 8 77)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 14 = 49 (left: 2 8 49)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 14 = 4.5 (left: 2 8 4.5)\n",
|
|
"6 - 3 = 3 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 14 = 882 (left: 2 8 882)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0.003,
|
|
0.003,
|
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0.002,
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0.002,
|
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0,
|
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0.003,
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0.003,
|
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0.002,
|
|
0,
|
|
0,
|
|
0,
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0.002,
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0.002,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 - 6 = 6 (left: 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n6 * 12 = 72 (left: 72)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 / 6 = 2 (left: 2)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 919,
|
|
"ys": [
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 - 6 = 6 (left: 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n6 * 12 = 72 (left: 72)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"7 - 3 = 4 (left: 3 4 6)\n3 * 4 = 12 (left: 6 12)\n6 * 2 = 12 (left: 12 6)\n12 / 6 = 2 (left: 2)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 155276,
|
|
"prompt_tokens": 395896,
|
|
"cost": 21.193440000000002
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 5 9 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n",
|
|
"13 - 5 = 8 (left: 1 8 9)\n",
|
|
"13 - 9 = 4 (left: 1 4 5)\n",
|
|
"13 / 1 = 13 (left: 5 9 13)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 5 9 13",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n6 + 9 = 15 (left: 13 15)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n9 - 6 = 3 (left: 3 13)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 6 = 7 (left: 7 9)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n6 * 9 = 54 (left: 13 54)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 + 6 = 19 (left: 9 19)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n9 + 13 = 22 (left: 6 22)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n4 + 9 = 13 (left: 13 13)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 - 4 = 5 (left: 5 13)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 - 9 = 4 (left: 4 4)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 - 4 = 9 (left: 9 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n4 * 9 = 36 (left: 13 36)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n5 + 8 = 13 (left: 13 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 / 5 = 1.6 (left: 1.6 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 - 5 = 8 (left: 8 8)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n5 * 8 = 40 (left: 13 40)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 - 5 = 3 (left: 3 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n1 + 4 = 5 (left: 5 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n4 - 1 = 3 (left: 3 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n13 - 1 = 12 (left: 4 12)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n13 - 4 = 9 (left: 1 9)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n13 / 1 = 13 (left: 4 13)\n",
|
|
"9 - 5 = 4 (left: 1 4 13)\n4 * 1 = 4 (left: 4 13)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n5 + 9 = 14 (left: 12 14)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n9 - 5 = 4 (left: 4 12)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n12 - 5 = 7 (left: 7 9)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n12 - 9 = 3 (left: 3 5)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n5 * 9 = 45 (left: 12 45)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n12 / 5 = 2.4 (left: 2.4 9)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n9 / 5 = 1.8 (left: 1.8 12)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n12 * 5 = 60 (left: 9 60)\n",
|
|
"13 - 1 = 12 (left: 5 9 12)\n12 * 9 = 108 (left: 5 108)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
2.001,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 / 5 = 1.6 (left: 1.6 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 5 9 13",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 / 5 = 1.6 (left: 1.6 13)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n3.25 + 9 = 12.25 (left: 12.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n3.25 * 9 = 29.25 (left: 29.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n2.25 + 13 = 15.25 (left: 15.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n2.25 * 13 = 29.25 (left: 29.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 - 2.25 = 10.75 (left: 10.75)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 / 5 = 1.6 (left: 1.6 13)\n1.6 + 13 = 14.6 (left: 14.6)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 / 5 = 1.6 (left: 1.6 13)\n13 - 1.6 = 11.4 (left: 11.4)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n8 / 5 = 1.6 (left: 1.6 13)\n13 / 1.6 \u2248 8.125 (left: 8.125)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n2.6 + 8 = 10.6 (left: 10.6)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n8 - 2.6 = 5.4 (left: 5.4)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n8 / 2.6 \u2248 3.08 (left: 3.08)\n",
|
|
"9 - 1 = 8 (left: 5 8 13)\n13 / 5 = 2.6 (left: 2.6 8)\n2.6 * 8 = 20.8 (left: 20.8)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.0,
|
|
1.002,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 5 9 13",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + 5) * (13 - 9) = 24\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n3.25 + 5.75 = 9 (left: 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n5.75 - 3.25 = 2.5 (left: 2.5)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n3.25 * 5.75 = 18.6875 (left: 18.6875)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n5.75 / 3.25 = 1.7692307692307692 (left: 1.7692307692307692)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n2.77 + 3.25 = 6.02 (left: 6.02)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n3.25 - 2.77 = 0.48 (left: 0.48)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n2.77 * 3.25 = 9.0025 (left: 9.0025)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 / 3.25 \u2248 2.77 (left: 2.77 3.25)\n3.25 / 2.77 \u2248 1.1733 (left: 1.1733)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n5.78 + 2 = 7.78 (left: 7.78 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n5.78 - 2 = 3.78 (left: 3.78 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n5.78 * 2 = 11.56 (left: 11.56 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n5.78 / 2 = 2.89 (left: 2.89 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n2 + 5.78 = 7.78 (left: 7.78 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n2 - 5.78 = -3.78 (left: -3.78 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n2 * 5.78 = 11.56 (left: 11.56 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n9 / 4 = 2.25 (left: 2.25 13)\n13 / 2.25 = 5.78 (approximately, left: 5.78)\n2 / 5.78 = 0.346 (left: 0.346 8 14)\n",
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\nThere are no possible next steps, as there is only one number given.\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + 5) * (13 - 9) = 24\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n5.75 - 3.25 = 2.5 (left: 2.5)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n3.25 + 5.75 = 9 (left: 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n3.25 * 5.75 = 18.6875 (left: 18.6875)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n5.75 / 3.25 = 1.7692307692307692 (left: 1.7692307692307692)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 920,
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + 5) * (13 - 9) = 24\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n5.75 - 3.25 = 2.5 (left: 2.5)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n3.25 + 5.75 = 9 (left: 9)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n3.25 * 5.75 = 18.6875 (left: 18.6875)\n",
|
|
"5 - 1 = 4 (left: 4 9 13)\n13 / 4 = 3.25 (left: 3.25 9)\n9 - 3.25 = 5.75 (left: 3.25 5.75)\n5.75 / 3.25 = 1.7692307692307692 (left: 1.7692307692307692)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 162297,
|
|
"prompt_tokens": 416421,
|
|
"cost": 22.230449999999998
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 6 7 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 6 = 11 (left: 7 11 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n",
|
|
"5 * 6 = 30 (left: 7 13 30)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n",
|
|
"13 - 7 = 6 (left: 5 6 6)\n",
|
|
"7 * 5 = 35 (left: 6 13 35)\n",
|
|
"7 - 5 = 2 (left: 2 6 13)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 6 = 11 (left: 7 11 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 6 7 13",
|
|
"ys": [
|
|
"5 + 6 = 11 (left: 7 11 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 6 = 11 (left: 7 11 13)\n7 + 11 = 18 (left: 13 18)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n11 + 13 = 24 (left: 7 24)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n13 + 7 = 20 (left: 11 20)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n11 - 7 = 4 (left: 4 13)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n13 - 11 = 2 (left: 2 7)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n13 - 7 = 6 (left: 6 11)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n11 * 7 = 77 (left: 13 77)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n13 * 7 = 91 (left: 11 91)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n11 * 13 = 143 (left: 7 143)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n7 / 11 (not a whole number)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n13 / 7 (not a whole number)\n",
|
|
"5 + 6 = 11 (left: 7 11 13)\n11 / 7 (not a whole number)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 7 = 6 (left: 1 6)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 * 1 = 7 (left: 7 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 / 1 = 13 (left: 7 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 / 1 = 7 (left: 7 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n7 - 6 = 1 (left: 1 8)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n8 - 6 = 2 (left: 2 7)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n7 * 6 = 42 (left: 8 42)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 * 8 = 48 (left: 7 48)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n7 * 8 = 56 (left: 6 56)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n6 + 12 = 18 (left: 13 18)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n13 + 6 = 19 (left: 12 19)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n13 - 6 = 7 (left: 7 12)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n12 - 6 = 6 (left: 6 13)\n",
|
|
"7 + 5 = 12 (left: 6 12 13)\n13 / 6 \u2248 2.17 (not a whole number, so not a valid operation)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n5 + 7 = 12 (left: 7 12)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n7 - 5 = 2 (left: 2 7)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n7 / 5 = 1.4 (left: 1.4 7)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n5 * 7 = 35 (left: 7 35)\n",
|
|
"13 - 6 = 7 (left: 5 7 7)\n7 + 7 = 14 (left: 5 14)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 6 7 13",
|
|
"ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n6 + 13 = 19 (left: 19)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n13 - 6 = 7 (left: 7)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n6 * 13 = 78 (left: 78)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n7 - 1 = 6 (left: 6 13)\n13 / 6 = 2.167 (left: 2.167)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n7 + 13 = 20 (left: 20)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n13 - 7 = 6 (left: 6)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n7 * 13 = 91 (left: 91)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 * 7 = 7 (left: 7 13)\n13 / 7 = ~1.857 (left: ~1.857) (Note: This is not a whole number, so it may not be useful in some contexts)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 6 7 13",
|
|
"ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 - 1.625 = 6.375 (left: 6.375)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 / 1.625 \u2248 4.923 (left: 4.923)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 * 8 = 13 (left: 13)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 - 1.625 = 6.375 (left: 6.375)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n8 / 1.625 \u2248 4.923 (left: 4.923)\n",
|
|
"13 - 5 = 8 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 * 8 = 13 (left: 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 - 7 = -2 (left: -2)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 / 5 = 1.4 (left: 1.4)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 / 7 = 0.714 (left: 0.714)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 + 8 = 13 (left: 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n8 - 5 = 3 (left: 3 5)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n8 / 5 = 1.6 (left: 1.6 5)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 + 2 = 106 (left: 8 8 14 106)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 - 2 = 102 (left: 8 8 14 102)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 / 2 = 52 (left: 8 8 14 52)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 * 2 = 208 (left: 8 8 14 208)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 + 8 = 112 (left: 2 8 14 112)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 - 8 = 96 (left: 2 8 14 96)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 / 8 = 13 (left: 2 8 14 13)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 * 8 = 832 (left: 2 8 14 832)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 + 14 = 118 (left: 2 8 8 118)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 - 14 = 90 (left: 2 8 8 90)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 / 14 = 7.42857142857 (left: 2 8 8 7.42857142857)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n8 * 13 = 104 (left: 104)\n104 * 14 = 1456 (left: 2 8 8 1456)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n8 - 5 = 3 (left: 3 5)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n"
|
|
]
|
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}
|
|
],
|
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"idx": 921,
|
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"ys": [
|
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"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n8 - 5 = 3 (left: 3 5)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n5 * 8 = 40 (left: 40)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n13 - 1 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2)\n",
|
|
"6 - 5 = 1 (left: 1 7 13)\n1 + 7 = 8 (left: 8 13)\n13 / 8 = 1.625 (left: 1.625 8)\n1.625 + 8 = 9.625 (left: 9.625)\n"
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"infos": [
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{
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"ys": [
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""
|
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],
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"new_ys": [
|
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"5 + 5 = 10 (left: 8 10 10)\n",
|
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"5 * 5 = 25 (left: 8 10 25)\n",
|
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"10 - 5 = 5 (left: 5 8 5)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n",
|
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"10 / 5 = 2 (left: 2 5 8)\n",
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"8 + 5 = 13 (left: 5 10 13)\n"
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],
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"values": [
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3.0,
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0.003,
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3.0,
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3.0,
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60.0,
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3.0
|
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"select_new_ys": [
|
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"10 / 5 = 2 (left: 2 5 8)\n",
|
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"5 + 5 = 10 (left: 8 10 10)\n",
|
|
"10 - 5 = 5 (left: 5 8 5)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n"
|
|
]
|
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},
|
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{
|
|
"step": 1,
|
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"x": "5 5 8 10",
|
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"ys": [
|
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"10 / 5 = 2 (left: 2 5 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n",
|
|
"10 - 5 = 5 (left: 5 8 5)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n2 + 5 = 7 (left: 7 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n8 - 2 = 6 (left: 5 6)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n2 * 8 = 16 (left: 5 16)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n8 + 10 = 18 (left: 10 18)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n8 * 10 = 80 (left: 10 80)\n",
|
|
"10 - 5 = 5 (left: 5 8 5)\n5 + 8 = 13 (left: 5 13)\n",
|
|
"10 - 5 = 5 (left: 5 8 5)\n8 - 5 = 3 (left: 3 5)\n",
|
|
"10 - 5 = 5 (left: 5 8 5)\n5 * 8 = 40 (left: 5 40)\n",
|
|
"10 - 5 = 5 (left: 5 8 5)\n5 / 5 = 1 (left: 1 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n5 * 3 = 15 (left: 10 15)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n10 - 3 = 7 (left: 5 7)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n10 / 5 = 2 (left: 2 3)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n10 / 3 = 3.333 (left: 3.333 5)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n5 + 10 = 15 (left: 13 15)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n10 - 5 = 5 (left: 5 13)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n13 - 5 = 8 (left: 8 10)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n13 - 10 = 3 (left: 3 5)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n5 * 10 = 50 (left: 13 50)\n",
|
|
"8 + 5 = 13 (left: 5 10 13)\n10 / 5 = 2 (left: 2 13)\n"
|
|
],
|
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"values": [
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0.003,
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60.0,
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0.003,
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0.003,
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2.001,
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1.002,
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0.003,
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2.001,
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2.001,
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0.003,
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1.002,
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0.003,
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0.003,
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0.003,
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2.001,
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1.002,
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2.001,
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0.003,
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0.003,
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1.002
|
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],
|
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"select_new_ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 5 8 10",
|
|
"ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 + 10 = 18 (left: 18)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 - 8 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n1.25 + 10 = 11.25 (left: 11.25)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n10 - 1.25 = 8.75 (left: 8.75)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n10 / 1.25 = 8 (left: 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 10)\n10 / 8 = 1.25 (left: 1.25 10)\n1.25 * 10 = 12.5 (left: 12.5)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n8 + 10 = 18 (left: 18)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n8 * 10 = 80 (left: 80)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n"
|
|
],
|
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"values": [
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0.003,
|
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0.0,
|
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60.0,
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0.0,
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0,
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2.001,
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0.002,
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0,
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0.003,
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0.003,
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0.0,
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0,
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0.002,
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0,
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1.002,
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0.003,
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2.001
|
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],
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"select_new_ys": [
|
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"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 5 8 10",
|
|
"ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 10 / 5) * 8 = 24\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 - 1.25 = 6.75 (left: 6.75)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 / 1.25 \u2248 6.4 (left: 6.4)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 * 8 = 10 (left: 10)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 - 1.25 = 6.75 (left: 6.75)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 / 1.25 = 6.4 (left: 6.4)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 * 8 = 10 (left: 10)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
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0,
|
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0.0,
|
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0,
|
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0,
|
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0,
|
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0.0,
|
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0.0,
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0.003,
|
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0.002,
|
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0.002,
|
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0.0,
|
|
0.002,
|
|
0.003,
|
|
0.002
|
|
],
|
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"select_new_ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 10 / 5) * 8 = 24\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 922,
|
|
"ys": [
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 10 / 5) * 8 = 24\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"8 - 5 = 3 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"10 / 5 = 2 (left: 2 5 8)\n5 * 2 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
],
|
|
"infos": [
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{
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"r": 1
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},
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{
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"r": 0
|
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},
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{
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"r": 0
|
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},
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{
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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}
|
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],
|
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"usage_so_far": {
|
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"completion_tokens": 172034,
|
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"prompt_tokens": 443521,
|
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"cost": 23.627670000000002
|
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}
|
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},
|
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{
|
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"steps": [
|
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{
|
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"step": 0,
|
|
"x": "2 4 6 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n",
|
|
"12 - 2 = 10 (left: 4 6 10)\n",
|
|
"12 / 2 = 6 (left: 4 6 6)\n",
|
|
"12 / 4 = 3 (left: 2 3 6)\n",
|
|
"12 - 6 = 6 (left: 2 4 6)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 4 6 12",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 - 6 = 0 (left: 0 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 + 4 = 7 (left: 7 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n4 - 3 = 1 (left: 1 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n2 + 6 = 8 (left: 8 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n6 / 2 = 3 (left: 3 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n12 + 2 = 14 (left: 6 14)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n2 * 6 = 12 (left: 12 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n12 - 2 = 10 (left: 6 10)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n12 / 2 = 6 (left: 6 6)\n",
|
|
"4 / 2 = 2 (left: 2 6 12)\n6 - 2 = 4 (left: 4 12)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n4 + 12 = 16 (left: 12 16)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n12 - 4 = 8 (left: 8 12)\n",
|
|
"6 * 2 = 12 (left: 4 12 12)\n4 * 12 = 48 (left: 12 48)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
40.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
60.0,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 4 6 12",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 / 2 = 2 (if 2 was in the input; left: 2 6)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 4 6 12",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (2 + 4) + (6 + 6) = 24\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 / 2) * 4 + 12 = 24\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 4) = 24\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (6 / 2) = 24\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 4) / 2 * 6 = 24\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 / 2) * 4 + 12 = 24\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 4) = 24\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (6 / 2) = 24\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 4) / 2 * 6 = 24\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (2 + 4) + (6 + 6) = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 923,
|
|
"ys": [
|
|
"6 / 2 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 / 2) * 4 + 12 = 24\n",
|
|
"6 / 2 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (6 / 2) * (12 - 4) = 24\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (12 - 4) * (6 / 2) = 24\n",
|
|
"12 - 4 = 8 (left: 2 6 8)\n8 / 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (12 - 4) / 2 * 6 = 24\n",
|
|
"2 + 4 = 6 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (2 + 4) + (6 + 6) = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 174069,
|
|
"prompt_tokens": 451918,
|
|
"cost": 24.00168
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 7 8 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 7 = 13 (left: 8 11 13)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n",
|
|
"8 - 6 = 2 (left: 2 7 11)\n",
|
|
"8 - 7 = 1 (left: 1 6 11)\n",
|
|
"11 / 7 = ~1.57 (left: 6 8 ~1.57) [not a whole number]\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n",
|
|
"6 * 8 = 48 (left: 7 11 48)\n",
|
|
"7 * 8 = 56 (left: 6 11 56)\n",
|
|
"11 * 8 = 88 (left: 6 7 88)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
20.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 7 8 11",
|
|
"ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n4 + 6 = 10 (left: 8 10)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 - 4 = 2 (left: 2 8)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 6 = 2 (left: 2 4)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n4 * 6 = 24 (left: 8 24)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 / 4 = 2 (left: 2 6)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 / 6 = 1.333 (left: 1.333 4)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n8 + 11 = 19 (left: 19 42)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n11 - 8 = 3 (left: 3 42)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 - 11 = 31 (left: 8 31)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 - 8 = 34 (left: 11 34)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n8 + 11 = 19 (left: 13 19)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n11 - 8 = 3 (left: 3 13)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n13 - 11 = 2 (left: 2 8)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n13 - 8 = 5 (left: 5 11)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n11 * 8 = 88 (left: 13 88)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n13 * 11 = 143 (left: 8 143)\n",
|
|
"6 + 7 = 13 (left: 8 11 13)\n8 * 13 = 104 (left: 11 104)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n1 + 8 = 9 (left: 9 11)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n8 - 1 = 7 (left: 7 11)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 1 = 10 (left: 8 10)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 / 1 = 11 (left: 8 11)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n5 + 7 = 12 (left: 8 12)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n7 - 5 = 2 (left: 2 8)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n5 * 7 = 35 (left: 8 35)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n8 - 5 = 3 (left: 3 7)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n8 - 7 = 1 (left: 1 5)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n7 / 5 = 1.4 (left: 1.4 8)\n",
|
|
"11 - 6 = 5 (left: 5 7 8)\n5 / 7 = 0.714 (left: 0.714 8)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
22.0,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 7 8 11",
|
|
"ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 / 6 = 0.6667 (left: 0.6667)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 - 1 = 7 (left: 3 7)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 - 3 = 5 (left: 1 5)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n1.5 + 8 = 9.5 (left: 9.5)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n8 - 1.5 = 6.5 (left: 6.5)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n8 / 1.5 = 5.33 (left: 5.33)\n",
|
|
"11 - 7 = 4 (left: 4 6 8)\n6 / 4 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n3.81 + 8 = 11.81 (left: 11.81)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n8 - 3.81 = 4.19 (left: 4.19)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n8 / 3.81 \u2248 2.1 (left: 2.1)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 11 = 3.81 (left: 3.81 8) (not an integer result, so not valid in most cases)\n3.81 * 8 = 30.48 (left: 30.48)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n5.25 + 11 = 16.25 (left: 16.25)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n11 - 5.25 = 5.75 (left: 5.75)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n5.25 * 11 = 57.75 (left: 57.75)\n",
|
|
"7 * 6 = 42 (left: 8 11 42)\n42 / 8 = 5.25 (left: 5.25 11) (not an integer result, so not valid in most cases)\n11 / 5.25 \u2248 2.095 (left: 2.095)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.001,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 7 8 11",
|
|
"ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n8 / 3 (cannot be done using integer operations)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n4 + 8 = 12 (left: 12)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n4 * 8 = 32 (left: 32)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n1 + 3 = 4 (left: 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 - 1 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 924,
|
|
"ys": [
|
|
"11 - 7 = 4 (left: 4 6 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (8 - (11 - 7)) = 24\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n8 / 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 - 6 = 1 (left: 1 8 11)\n11 - 8 = 3 (left: 1 3 8)\n3 * 1 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 179809,
|
|
"prompt_tokens": 467657,
|
|
"cost": 24.81825
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "7 9 9 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"7 + 9 = 16 (left: 9 13 16)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n",
|
|
"13 + 7 = 20 (left: 9 9 20)\n",
|
|
"7 * 9 = 63 (left: 9 13 63)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "7 9 9 13",
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n9 - 2 = 7 (left: 7 13)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n13 - 2 = 11 (left: 9 11)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n13 / 2 = 6.5 (left: 6.5 9)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 * 9 = 18 (left: 13 18)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 / 6 = 1.5 (left: 1.5 9)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 * 9 = 54 (left: 9 54)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 * 9 = 81 (left: 6 81)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n13 - 1.29 = 11.71 (left: 9 11.71)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n13 - 9 = 4 (left: 1.29 4)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n13 / 1.29 \u2248 10.08 (left: 9 10.08)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 / 1.29 \u2248 6.98 (left: 6.98 13)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n4 + 7 = 11 (left: 9 11)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n7 - 4 = 3 (left: 3 9)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n9 - 4 = 5 (left: 5 7)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n9 - 7 = 2 (left: 2 4)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n4 * 7 = 28 (left: 9 28)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n4 * 9 = 36 (left: 7 36)\n",
|
|
"13 - 9 = 4 (left: 4 7 9)\n7 * 9 = 63 (left: 4 63)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n1.857 + 9 = 10.857 (left: 10.857 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n9 / 1.857 \u2248 4.844 (left: 4.844 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n9 - 1.857 = 7.143 (left: 7.143 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n9 * 1.857 \u2248 16.713 (left: 16.713 9)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n9 / 9 = 1 (left: 1 1.857)\n",
|
|
"13 / 7 = 1.857 (left: 1.857 9 9) [not an integer operation]\n9 - 9 = 0 (left: 0 1.857)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "7 9 9 13",
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 * 15 = 135 (left: 135)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 * 18 = 108 (left: 108)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n10.29 + 13 = 23.29 (left: 23.29)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n10.29 * 13 = 133.77 (left: 133.77)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 / 10.29 = 1.263 (left: 1.263 10.29)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n7.71 + 13 = 20.71 (left: 20.71)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n13 - 7.71 = 5.29 (left: 5.29 7.71)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n7.71 * 13 = 100.23 (left: 100.23)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n9 - 1.29 = 7.71 (left: 7.71 13)\n13 / 7.71 \u2248 1.685 (left: 1.685 7.71)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
2.0,
|
|
0.002,
|
|
60.0,
|
|
1.002,
|
|
3.0,
|
|
0.002,
|
|
1.001,
|
|
3.0,
|
|
0.001,
|
|
0.003,
|
|
0.0,
|
|
1.001,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "7 9 9 13",
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (9 - 7) + 9 + 13 = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (9 + 15) - (13 - 7) = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (13 - 7) + (9 + 9) = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n2.71 + 10.29 = 13 (left: 13)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n10.29 - 2.71 = 7.58 (left: 7.58)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n10.29 / 2.71 \u2248 3.8 (left: 3.8)\n",
|
|
"9 / 7 = 1.29 (left: 1.29 9 13) [not an integer operation]\n1.29 + 9 = 10.29 (left: 10.29 13)\n13 - 10.29 = 2.71 (left: 2.71 10.29)\n2.71 * 10.29 \u2248 27.9 (left: 27.9)\n"
|
|
],
|
|
"values": [
|
|
40.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (9 - 7) + 9 + 13 = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (9 + 15) - (13 - 7) = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (13 - 7) + (9 + 9) = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 925,
|
|
"ys": [
|
|
"9 - 7 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (9 - 7) + 9 + 13 = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (9 + 15) - (13 - 7) = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (13 - 7) + (9 + 9) = 24\n",
|
|
"13 - 7 = 6 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 186438,
|
|
"prompt_tokens": 485097,
|
|
"cost": 25.739189999999997
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 6 9 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 6 = 9 (left: 9 9 12)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n",
|
|
"3 * 6 = 18 (left: 9 12 18)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n",
|
|
"12 - 6 = 6 (left: 3 6 9)\n",
|
|
"12 / 3 = 4 (left: 4 6 9)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 6 9 12",
|
|
"ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n12 / 3 = 4 (left: 4 9)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n12 - 9 = 3 (left: 3 3)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n12 - 3 = 9 (left: 3 9)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 - 6 = 3 (left: 3 9)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 / 6 = 1.5 (left: 1.5 9)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 * 9 = 54 (left: 9 54)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 * 9 = 81 (left: 6 81)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n9 - 9 = 0 (left: 0 12)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n12 - 9 = 3 (left: 3 9)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n12 / 9 = 1.333 (left: 1.333 9)\n",
|
|
"3 + 6 = 9 (left: 9 9 12)\n12 + 9 = 21 (left: 9 21)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n2 + 9 = 11 (left: 11 12)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n9 - 2 = 7 (left: 7 12)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n12 / 2 = 6 (left: 6 9)\n",
|
|
"6 / 3 = 2 (left: 2 9 12)\n12 - 2 = 10 (left: 9 10)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n6 + 9 = 15 (left: 15 15)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n9 - 6 = 3 (left: 3 15)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n15 / 3 = 5 (left: 6 5)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n15 - 9 = 6 (left: 6 6)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n15 - 6 = 9 (left: 9 9)\n",
|
|
"12 + 3 = 15 (left: 6 9 15)\n6 * 9 = 54 (left: 15 54)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 6 9 12",
|
|
"ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 * 15 = 135 (left: 135)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 / 9 = 1.67 (left: 1.67 9)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 - 6 = 12 (left: 12)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 * 18 = 108 (left: 108)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 - 3 = 6 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n9 / 3 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0.001,
|
|
0.002,
|
|
60.0,
|
|
2.001,
|
|
0.002,
|
|
2.0,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 6 9 12",
|
|
"ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 - 3) + 9 + 12 = 24\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 3) * (3 + 9) = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (12 - 3) + (6 + 9) = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n9 + 9 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (12 - 3) + (9 + 9) = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 / 6 = 1 (left: 1 9)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 3) * (3 + 9) = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 - 3) + 9 + 12 = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (12 - 3) + (6 + 9) = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 926,
|
|
"ys": [
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 * 2 = 24 (left: 24)\nAnswer: (6 - 3) * (3 + 9) = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n15 - 9 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"6 - 3 = 3 (left: 3 9 12)\n3 + 9 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 - 3) + 9 + 12 = 24\n",
|
|
"12 - 3 = 9 (left: 6 9 9)\n6 + 9 = 15 (left: 9 15)\n9 + 15 = 24 (left: 24)\nAnswer: (12 - 3) + (6 + 9) = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
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"r": 0
|
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},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 189239,
|
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"prompt_tokens": 494704,
|
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"cost": 26.19546
|
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}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 9 12 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 9 = 15 (left: 12 13 15)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n",
|
|
"13 + 6 = 19 (left: 9 12 19)\n",
|
|
"13 - 6 = 7 (left: 7 9 12)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n",
|
|
"13 / 6 = 2 (with a remainder of 1) (left: 2 9 12)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n",
|
|
"12 - 9 = 3 (left: 3 6 13)\n"
|
|
],
|
|
"values": [
|
|
20.002,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
41.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 9 12 13",
|
|
"ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n6 + 9 = 15 (left: 13 15)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n9 - 6 = 3 (left: 3 13)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 6 = 7 (left: 7 9)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n6 * 9 = 54 (left: 13 54)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 + 6 = 19 (left: 9 19)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n9 * 6 = 54 (left: 13 54)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 / 6 = (approximately) 2.17 (left: 2.17 9)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n9 - 2 = 7 (left: 7 13)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n13 - 2 = 11 (left: 9 11)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n13 - 9 = 4 (left: 2 4)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 * 9 = 18 (left: 13 18)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n9 / 2 = 4.5 (left: 4.5 13) (if only considering integer results, ignore this step)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n4 + 6 = 10 (left: 10 12)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 4 = 8 (left: 6 8)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n4 * 6 = 24 (left: 12 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 / 4 = 3 (left: 3 6)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 / 6 = 2 (left: 2 4)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n12 + 13 = 25 (left: 15 25)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n13 - 12 = 1 (left: 1 12 15)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12 15)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n12 * 13 = 156 (left: 15 156)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 / 3 = 5 (left: 5 12 13)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n13 * 15 = 195 (left: 12 195)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n3 + 12 = 15 (left: 13 15)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n12 / 3 = 4 (left: 4 13)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n13 + 3 = 16 (left: 12 16)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n3 * 12 = 36 (left: 13 36)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n12 - 3 = 9 (left: 9 13)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n13 - 3 = 10 (left: 10 12)\n",
|
|
"9 - 6 = 3 (left: 3 12 13)\n13 - 12 = 1 (left: 1 3)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
2.001,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
60.0,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 9 12 13",
|
|
"ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n3 + 13 = 16 (left: 15 16)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n15 - 13 = 2 (left: 2 3)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n15 / 3 = 5 (left: 5 13)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n15 - 3 = 12 (left: 12 13)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 9 12 13",
|
|
"ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 9) * (12 - 6) = 24\n",
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (12 / 6 + 9) + 13 = 24\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - (13 - 9)) * 12 = 24\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n12 - 6 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (13 - 9) * (12 - 6) = 24\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n10 + 15 = 25 (left: 25)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n10 * 15 = 150 (left: 150)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
1.002,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (12 / 6 + 9) + 13 = 24\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - (13 - 9)) * 12 = 24\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 9) * (12 - 6) = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 927,
|
|
"ys": [
|
|
"12 / 6 = 2 (left: 2 9 13)\n2 + 9 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (12 / 6 + 9) + 13 = 24\n",
|
|
"13 - 9 = 4 (left: 4 6 12)\n6 - 4 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 - (13 - 9)) * 12 = 24\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"6 + 9 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13 15)\n13 - 3 = 10 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"12 - 6 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (13 - 9) * (12 - 6) = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 193193,
|
|
"prompt_tokens": 506150,
|
|
"cost": 26.77608
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 7 9 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 7 = 11 (left: 9 11 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n",
|
|
"4 * 7 = 28 (left: 9 13 28)\n",
|
|
"13 + 7 = 20 (left: 4 9 20)\n",
|
|
"7 * 9 = 63 (left: 4 13 63)\n",
|
|
"13 + 4 = 17 (left: 7 9 17)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 7 9)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 7 = 11 (left: 9 11 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 7 9 13",
|
|
"ys": [
|
|
"4 + 7 = 11 (left: 9 11 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 7 = 11 (left: 9 11 13)\n9 + 11 = 20 (left: 13 20)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n13 - 9 = 4 (left: 4 11)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n13 - 11 = 2 (left: 2 9)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n13 + 9 = 22 (left: 11 22)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 + 13 = 24 (left: 9 24)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n9 * 11 = 99 (left: 13 99)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n9 * 13 = 117 (left: 11 117)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 * 13 = 143 (left: 9 143)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 - 3 = 10 (left: 9 10)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 - 9 = 4 (left: 3 4)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 * 9 = 27 (left: 13 27)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n7 + 9 = 16 (left: 9 16)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n9 - 7 = 2 (left: 2 9)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n9 / 7 = 1.28 (left: 1.28 9)\n",
|
|
"13 - 4 = 9 (left: 7 9 9)\n7 * 9 = 63 (left: 9 63)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n5 + 7 = 12 (left: 12 13)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n7 - 5 = 2 (left: 2 13)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n13 - 5 = 8 (left: 7 8)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n13 - 7 = 6 (left: 5 6)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n13 / 5 = 2.6 (left: 2.6 7)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n5 * 7 = 35 (left: 13 35)\n",
|
|
"9 - 4 = 5 (left: 5 7 13)\n7 * 13 = 91 (left: 5 91)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n6 * 9 = 54 (left: 4 54)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n4 / 6 = 0.67 (left: 0.67 9)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n6 / 4 = 1.5 (left: 1.5 9)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n9 / 4 = 2.25 (left: 2.25 6)\n",
|
|
"13 - 7 = 6 (left: 4 6 9)\n9 / 6 = 1.5 (left: 1.5 4)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 7 9 13",
|
|
"ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n~4.33 + 9 = ~13.33 (left: ~13.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 / ~4.33 = ~2.08 (left: ~2.08 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n~4.33 * 9 = ~38.97 (left: ~38.97)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 + 13 = 16 (left: 16)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n13 - 3 = 10 (left: 10)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n13 / 3 = 4.33 (left: 4.33)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 / 2 = 6.5 (left: 6.5)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 * 13 = 26 (left: 26)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 + 13 = 25 (left: 25)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 - 13 = -1 (left: -1)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n13 - 12 = 1 (left: 1)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 * 13 = 156 (left: 156)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n13 / 12 = 1.08 (left: 1.08)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n6 + 13 = 19 (left: 19)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n13 - 6 = 7 (left: 7)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n6 * 13 = 78 (left: 78)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 - 3 = 6 (left: 6 13)\n13 / 6 = 2.167 (left: 2.167)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
2.001,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 7 9 13",
|
|
"ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.67 - 4.33 = 0.34 (left: ~0.34 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.33 + 4.67 = ~9 (left: ~9)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.67 / 4.33 = ~1.08 (left: ~1.08 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.33 * 4.67 = ~20.2 (left: ~20.2)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\nThere is only one number provided, so no mathematical operations can be performed on it. The only next step would be to provide more numbers for calculations.\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n15 / 2 = 7.5 (left: 7.5 8 8 14)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n2 + 15 = 17 (left: 8 8 14 17)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n2 * 15 = 30 (left: 8 8 14 30)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 * 8 = 88 (left: 2 8 14 88)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 * 14 = 154 (left: 2 8 8 154)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n2 - 11 = -9 (left: 8 8 14 -9)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n8 - 11 = -3 (left: 2 8 14 -3)\n",
|
|
"4 + 7 = 11 (left: 9 11 13)\n11 - 9 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n0.92 + 2 = 2.92 (left: 2.92 8 14)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n0.92 + 8 = 8.92 (left: 2 8.92 14)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n0.92 + 14 = 14.92 (left: 2 8 14.92)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n2 * 0.92 = 1.84 (left: 1.84 8 14)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n8 * 0.92 = 7.36 (left: 2 7.36 14)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n14 * 0.92 = 12.88 (left: 2 8 12.88)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n2 - 0.92 = 1.08 (left: 1.08 8 14)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n8 - 0.92 = 7.08 (left: 2 7.08 14)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n14 - 0.92 = 13.08 (left: 2 8 13.08)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n3 + 9 = 12 (left: 12 13)\n12 / 13 = 0.92 (left: 0.92)\n0.92 / 2 = 0.46 (left: 0.46 8 14)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.67 - 4.33 = 0.34 (left: ~0.34 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.33 + 4.67 = ~9 (left: ~9)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.67 / 4.33 = ~1.08 (left: ~1.08 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.33 * 4.67 = ~20.2 (left: ~20.2)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\nThere is only one number provided, so no mathematical operations can be performed on it. The only next step would be to provide more numbers for calculations.\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 928,
|
|
"ys": [
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.67 - 4.33 = 0.34 (left: ~0.34 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.33 + 4.67 = ~9 (left: ~9)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.67 / 4.33 = ~1.08 (left: ~1.08 ~4.33)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n13 / 3 = ~4.33 (left: ~4.33 9)\n9 - ~4.33 = ~4.67 (left: ~4.33 ~4.67)\n4.33 * 4.67 = ~20.2 (left: ~20.2)\n",
|
|
"7 - 4 = 3 (left: 3 9 13)\n9 / 3 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\nThere is only one number provided, so no mathematical operations can be performed on it. The only next step would be to provide more numbers for calculations.\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 203282,
|
|
"prompt_tokens": 526826,
|
|
"cost": 28.0017
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 6 8 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 6 = 11 (left: 8 11 12)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n",
|
|
"8 * 5 = 40 (left: 6 12 40)\n",
|
|
"12 - 8 = 4 (left: 4 5 6)\n",
|
|
"8 - 6 = 2 (left: 2 5 12)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
1.002,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 6 8 12",
|
|
"ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 + 5 = 7 (left: 7 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n8 - 2 = 6 (left: 5 6)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n8 - 5 = 3 (left: 2 3)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n8 + 11 = 19 (left: 12 19)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 - 8 = 4 (left: 4 11)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 - 11 = 1 (left: 1 8)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n1 + 8 = 9 (left: 9 12)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n8 - 1 = 7 (left: 7 12)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n12 - 1 = 11 (left: 8 11)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n12 - 8 = 4 (left: 1 4)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n8 * 1 = 8 (left: 8 12)\n",
|
|
"6 - 5 = 1 (left: 1 8 12)\n1 * 8 = 8 (left: 8 12)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n7 - 6 = 1 (left: 1 8)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n8 - 6 = 2 (left: 2 7)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n6 * 7 = 42 (left: 8 42)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n6 / 7 (not possible)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n7 / 6 (not possible)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n8 / 6 (not possible)\n",
|
|
"12 - 5 = 7 (left: 6 7 8)\n8 / 7 (not possible)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n8 + 12 = 20 (left: 20 30)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n12 + 30 = 42 (left: 8 42)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 - 8 = 22 (left: 12 22)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n12 * 8 = 96 (left: 30 96)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 * 8 = 240 (left: 12 240)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n12 - 8 = 4 (left: 4 30)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 6 8 12",
|
|
"ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 / 3 (not possible, result is not an integer)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n11 - 8 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n11 - 1.5 = 9.5 (left: 9.5)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n11 / 1.5 \u2248 7.33 (left: 7.33)\n",
|
|
"5 + 6 = 11 (left: 8 11 12)\n12 / 8 = 1.5 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n3.75 + 12 = 15.75 (left: 15.75)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n12 - 3.75 = 8.25 (left: 8.25)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n3.75 * 12 = 45 (left: 45)\n",
|
|
"5 * 6 = 30 (left: 8 12 30)\n30 / 8 = 3.75 (left: 3.75 12)\n12 / 3.75 = 3.2 (left: 3.2)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n8 + 10 = 18 (left: 18)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n8 * 10 = 80 (left: 80)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 / 3 (not possible, result is not an integer)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 6 8 12",
|
|
"ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 / 3 (not possible, result is not an integer)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (5 - 12 / 6) = 24\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 * 8 = 10 (left: 10)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 - 1.25 = 6.75 (left: 6.75)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 / 1.25 = 6.4 (left: 6.4)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 8 8 14 5.5)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 8 = 1.375 (left: 2 8 14 1.375)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 25)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 -3)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 14 = 154 (left: 2 8 154)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 14 = 0.7857 (left: 2 8 0.7857)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 / 3 (not possible, result is not an integer)\nNone (no valid operations can be performed with the given input)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (5 - 12 / 6) = 24\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 929,
|
|
"ys": [
|
|
"12 / 6 = 2 (left: 2 5 8)\n5 - 2 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (5 - 12 / 6) = 24\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"12 / 6 = 2 (left: 2 5 8)\n2 * 5 = 10 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 207384,
|
|
"prompt_tokens": 538592,
|
|
"cost": 28.6008
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 4 6 7",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n",
|
|
"6 / 2 = 3 (left: 3 4 7)\n",
|
|
"6 - 4 = 2 (left: 2 2 7)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 4 6 7",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 - 6 = 0 (left: 0 7)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 + 6 = 8 (left: 7 8)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n4 + 4 = 8 (left: 7 8)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n4 * 4 = 16 (left: 7 16)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n7 - 4 = 3 (left: 3 4)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n7 / 4 = 1.75 (left: 1.75 4) (if decimals are allowed)\n",
|
|
"6 - 2 = 4 (left: 4 4 7)\n4 - 4 = 0 (left: 0 7)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n5 + 6 = 11 (left: 4 11)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n5 * 6 = 30 (left: 4 30)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n6 / 4 = 1.5 (left: 1.5 5)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n5 - 4 = 1 (left: 1 6)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 - 5 = -1 (left: -1 6)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n6 / 5 = 1.2 (left: 1.2 4)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n2 + 3 = 5 (left: 5 6)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n3 + 6 = 9 (left: 2 9)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n6 - 2 = 4 (left: 3 4)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n6 - 3 = 3 (left: 2 3)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n2 * 3 = 6 (left: 6 6)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n6 / 2 = 3 (left: 3 3)\n",
|
|
"7 - 4 = 3 (left: 2 3 6)\n6 / 3 = 2 (left: 2 2)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 4 6 7",
|
|
"ys": [
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 + 20 = 26 (left: 26)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 - 6 = 14 (left: 14)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 / 6 = 3.33 (left: 3.33)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n6 + 13 = 19 (left: 19)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n13 - 6 = 7 (left: 7)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n6 * 13 = 78 (left: 78)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n13 / 6 = 2.1667 (left: 2.1667)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (approx) (left: 1.71 7)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 4 6 7",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 - 7 = -2 (left: -2)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 / 7 = 0.71 (left: 0.71)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 / 5 = 1.4 (left: 1.4)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n2 + 15 = 17 (left: 8 8 14 17)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n8 + 15 = 23 (left: 8 14 23)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n8 * 15 = 120 (left: 8 14 120)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n14 + 15 = 29 (left: 8 8 29)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n14 * 15 = 210 (left: 8 8 210)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 - 8 = 7 (left: 7 8 14)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 - 14 = 1 (left: 1 8 8)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 / 2 = 60 (left: 8 8 14 60)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 / 8 = 15 (left: 2 14 15)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 / 14 = 8.57 (left: 2 8 8.57) [Not an integer result]\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 - 2 = 118 (left: 8 8 14 118)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 - 8 = 112 (left: 2 8 14 112)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 - 14 = 106 (left: 2 8 8 106)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 - 2 - 8 = 110 (left: 8 14 110)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 - 2 - 14 = 104 (left: 8 8 104)\n",
|
|
"7 - 2 = 5 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n120 - 8 - 14 = 98 (left: 2 8 98)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n1.71 + 7 = 8.71 (left: 8.71)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n7 - 1.71 = 5.29 (left: 1.71 5.29)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n1.71 * 7 = 11.97 (left: 11.97)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (not a whole number, so not a valid option)\n7 / 1.71 \u2248 4.09 (left: 1.71 4.09)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 930,
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"4 / 2 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"2 + 4 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 213389,
|
|
"prompt_tokens": 552326,
|
|
"cost": 29.37312
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 5 10 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 5 = 7 (left: 7 10 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n",
|
|
"2 * 5 = 10 (left: 10 10 10)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n",
|
|
"10 / 5 = 2 (left: 2 2 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 5 = 7 (left: 7 10 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 5 10 10",
|
|
"ys": [
|
|
"2 + 5 = 7 (left: 7 10 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 5 = 7 (left: 7 10 10)\n7 + 10 = 17 (left: 10 17)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 - 7 = 3 (left: 3 10)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n7 * 10 = 70 (left: 10 70)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n3 + 10 = 13 (left: 10 13)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 * 3 = 30 (left: 10 30)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n5 + 5 = 10 (left: 10 10)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n5 * 5 = 25 (left: 10 25)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n10 - 5 = 5 (left: 5 5)\n",
|
|
"10 / 2 = 5 (left: 5 5 10)\n10 / 5 = 2 (left: 2 5)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n5 + 8 = 13 (left: 10 13)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 - 5 = 3 (left: 3 10)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n5 * 8 = 40 (left: 10 40)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n10 / 5 = 2 (left: 2 8)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n10 / 8 = 1.25 (left: 1.25 5)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 + 5 = 7 (left: 7 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n5 - 2 = 3 (left: 3 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n10 - 2 = 8 (left: 5 8)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n10 - 5 = 5 (left: 2 5)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 * 5 = 10 (left: 10 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n10 / 2 = 5 (left: 5 5)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n10 / 5 = 2 (left: 2 2)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 + 5 = 7 (left: 7 10)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 5 10 10",
|
|
"ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 + 5 = 7 (left: 7 10)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n10 - 1.6 = 8.4 (left: 8.4)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n10 / 1.6 = 6.25 (left: 6.25)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 * 10 = 16 (left: 16)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n3.33 + 10 = 13.33 (left: 13.33)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n10 - 3.33 = 6.67 (left: 6.67)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n10 / 3.33 \u2248 3 (left: 3)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 + 5 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 + 5 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"10 - 5 = 5 (left: 2 5 10)\n2 + 5 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n1.43 + 10 = 11.43 (left: 11.43)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n1.43 * 10 = 14.3 (left: 14.3)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.0,
|
|
0.001,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
2.001,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 5 10 10",
|
|
"ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 + 2 = 13.6 (left: 8 13.6 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 - 2 = 9.6 (left: 8 9.6 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 8 14 23.2)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 / 2 = 5.8 (left: 5.8 8 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n14 - 11.6 = 2.4 (left: 2 8 2.4)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n8 - 11.6 = -3.6 (left: -3.6 2 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 + 8 = 19.6 (left: 2 14 19.6)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 - 14 = -2.4 (left: 2 8 -2.4)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n1.43 + 8.57 = 10 (left: 10)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n8.57 - 1.43 = 7.14 (left: 1.43 7.14)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n1.43 * 8.57 = 12.2551 (left: 12.2551)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 - 1.43 = 8.57 (left: 1.43 8.57)\n8.57 / 1.43 = 6 (left: 1.43 6)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n1.43 + 6.99 = 8.42 (left: 8.42)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n6.99 - 1.43 = 5.56 (left: 5.56)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n1.43 * 6.99 = 10.0047 (left: 10.0047)\n",
|
|
"2 + 5 = 7 (left: 7 10 10)\n10 / 7 = 1.43 (left: 1.43 10)\n10 / 1.43 \u2248 6.99 (left: 1.43 6.99)\n6.99 / 1.43 \u2248 4.89 (left: 4.89)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 / 3 \u2248 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\nThere are no possible next steps with this single input value. Please provide at least two values for calculations.\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n2 + 17 = 19 (left: 8 8 14 19)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 8 = 9 (left: 2 8 9 14)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 14 = 3 (left: 2 3 8 8)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n14 + 17 = 31 (left: 2 8 8 31)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n8 + 17 = 25 (left: 2 8 14 25)\n",
|
|
"5 - 2 = 3 (left: 3 10 10)\n10 - 3 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n2 * 17 = 34 (left: 8 8 14 34)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 + 2 = 13.6 (left: 8 13.6 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 - 2 = 9.6 (left: 8 9.6 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 8 14 23.2)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 / 2 = 5.8 (left: 5.8 8 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n14 - 11.6 = 2.4 (left: 2 8 2.4)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 931,
|
|
"ys": [
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 + 2 = 13.6 (left: 8 13.6 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 - 2 = 9.6 (left: 8 9.6 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 8 14 23.2)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 / 2 = 5.8 (left: 5.8 8 14)\n",
|
|
"10 - 2 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n14 - 11.6 = 2.4 (left: 2 8 2.4)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 220626,
|
|
"prompt_tokens": 569321,
|
|
"cost": 30.317190000000004
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 6 7 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 6 = 12 (left: 7 12 12)\n",
|
|
"6 * 6 = 36 (left: 7 12 36)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
1.002,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 6 = 13 (left: 6 12 13)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 6 7 12",
|
|
"ys": [
|
|
"7 + 6 = 13 (left: 6 12 13)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 + 6 = 13 (left: 6 12 13)\n6 + 12 = 18 (left: 13 18)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n13 + 6 = 19 (left: 12 19)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n13 - 6 = 7 (left: 7 12)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 - 6 = 6 (left: 6 13)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n2 + 6 = 8 (left: 7 8)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n6 - 2 = 4 (left: 4 7)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n7 - 2 = 5 (left: 5 6)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n2 * 6 = 12 (left: 7 12)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n6 / 2 = 3 (left: 3 7)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n7 / 2 = 3.5 (left: 3.5 6) (if decimals are allowed)\n",
|
|
"12 / 6 = 2 (left: 2 6 7)\n7 - 6 = 1 (left: 1 2)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n1 + 6 = 7 (left: 7 12)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 - 1 = 11 (left: 6 11)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 - 6 = 6 (left: 1 6)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n7 / 6 = ~1.17 (left: ~1.17 6) (not a whole number)\n",
|
|
"12 - 6 = 6 (left: 6 6 7)\n6 - 6 = 0 (left: 0 7)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 + 6 = 11 (left: 6 11)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 / 5 = 1.2 (left: 1.2 6)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 6 7 12",
|
|
"ys": [
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n2 * 13 = 26 (left: 26)\n",
|
|
"7 + 6 = 13 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n13 / 2 = 6.5 (left: 6.5)\n"
|
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],
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"values": [
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0.003,
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0.003,
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0.003,
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0.002,
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"select_new_ys": [
|
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"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 6 7 12",
|
|
"ys": [
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 8 74)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 14)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n6 - 1 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 14 = 4.2857 (left: 2 8 8 4.2857)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 14)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 8 = 480 (left: 2 14 480)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 74)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 46)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 14 = 4.2857 (left: 2 4.2857 8)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 14 = 840 (left: 2 8 840)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n2 + 36 = 38 (left: 8 8 14 38)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n8 + 36 = 44 (left: 2 8 14 44)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n14 + 36 = 50 (left: 2 8 8 50)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n2 * 36 = 72 (left: 8 8 14 72)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 + 6 = 11 (left: 11)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 - 6 = -1 (left: -1)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n6 - 5 = 1 (left: 1)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n6 / 5 = 1.2 (left: 1.2)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 / 6 = 0.8333 (left: 0.8333)\n"
|
|
],
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"values": [
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0.002,
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0,
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0.003,
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0.003,
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0.002,
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0,
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0.001,
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0.001
|
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],
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"select_new_ys": [
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 + 6 = 11 (left: 11)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n6 - 5 = 1 (left: 1)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 932,
|
|
"ys": [
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 + 6 = 11 (left: 11)\n",
|
|
"7 - 6 = 1 (left: 1 6 12)\n12 / 1 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"12 - 7 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n6 - 5 = 1 (left: 1)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
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{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 226288,
|
|
"prompt_tokens": 580499,
|
|
"cost": 30.99225
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 9 9 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 9 = 15 (left: 9 11 15)\n",
|
|
"9 - 6 = 3 (left: 3 9 11)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n",
|
|
"6 * 9 = 54 (left: 9 11 54)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n",
|
|
"11 / 6 = 1.833 (left: 1.833 9 9)\n",
|
|
"9 * 9 = 81 (left: 6 11 81)\n",
|
|
"11 * 6 = 66 (left: 9 9 66)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
22.0,
|
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3.0,
|
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3.0,
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0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 6 = 3 (left: 3 9 11)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 9 9 11",
|
|
"ys": [
|
|
"9 - 6 = 3 (left: 3 9 11)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 6 = 3 (left: 3 9 11)\n3 + 9 = 12 (left: 11 12)\n",
|
|
"9 - 6 = 3 (left: 3 9 11)\n9 - 3 = 6 (left: 6 11)\n",
|
|
"9 - 6 = 3 (left: 3 9 11)\n11 + 3 = 14 (left: 9 14)\n",
|
|
"9 - 6 = 3 (left: 3 9 11)\n3 * 9 = 27 (left: 11 27)\n",
|
|
"9 - 6 = 3 (left: 3 9 11)\n11 - 3 = 8 (left: 8 9)\n",
|
|
"9 - 6 = 3 (left: 3 9 11)\n11 / 3 \u2248 3.67 (left: 3.67 9)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n9 + 11 = 20 (left: 15 20)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n11 - 9 = 2 (left: 2 15)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 - 9 = 6 (left: 6 11)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 - 11 = 4 (left: 4 9)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n9 * 11 = 99 (left: 15 99)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 9 = 1.67 (left: 1.67 11)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 + 11 = 26 (left: 9 26)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 * 9 = 135 (left: 11 135)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n11 + 9 = 20 (left: 15 20)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n5 + 9 = 14 (left: 9 14)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n9 - 5 = 4 (left: 4 9)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n9 / 5 = 1.8 (left: 1.8 9)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n5 * 9 = 45 (left: 9 45)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n9 + 9 = 18 (left: 5 18)\n",
|
|
"11 - 6 = 5 (left: 5 9 9)\n9 * 9 = 81 (left: 5 81)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n9 + 2 = 11 (left: 6 11)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n9 - 2 = 7 (left: 6 7)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n9 / 2 = 4.5 (left: 4.5 6)\n",
|
|
"11 - 9 = 2 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n1.5 + 9 = 10.5 (left: 10.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n1.5 * 9 = 13.5 (left: 11 13.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 / 1.5 = 7.333 (left: 7.333 9)\n"
|
|
],
|
|
"values": [
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|
0.003,
|
|
0.003,
|
|
0.003,
|
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0.003,
|
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2.001,
|
|
1.002,
|
|
0.003,
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|
1.002,
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|
0.003,
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|
1.002,
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|
0.003,
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2.001,
|
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3.0,
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0.003,
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0.003,
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0.003,
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0.003,
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1.002,
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2.001,
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0.003,
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0.003,
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0.003,
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2.001,
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1.002,
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0.003,
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1.002,
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2.001,
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1.002,
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2.001,
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3.0,
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3.0,
|
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2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 9 9 11",
|
|
"ys": [
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n1.36 + 9 = 10.36 (left: 10.36)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n9 - 1.36 = 7.64 (left: 7.64)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n1.36 * 9 = 12.24 (left: 12.24)\n",
|
|
"6 + 9 = 15 (left: 9 11 15)\n15 / 11 = 1.36 (left: 1.36 9)\n9 / 1.36 \u2248 6.62 (left: 6.62)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n7.5 + 11 = 18.5 (left: 18.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n7.5 * 11 = 82.5 (left: 82.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n9 + 9.5 = 18.5 (left: 18.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n9 - 9.5 = -0.5 (left: -0.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n9 * 9.5 = 85.5 (left: 85.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 1.5 = 9.5 (left: 9 9.5)\n9 / 9.5 = 0.947 (left: 0.947)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n9 + 12.5 = 21.5 (left: 21.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n9 * 12.5 = 112.5 (left: 112.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n9 - 1.5 = 7.5 (left: 2 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n9 - 2 = 7 (left: 1.5 7)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n9 / 1.5 = 6 (left: 2 6)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 * 2 = 3 (left: 3 9)\n"
|
|
],
|
|
"values": [
|
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0.002,
|
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0.001,
|
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0.0,
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0.002,
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0.002,
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2.001,
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0.001,
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1.002,
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0.002,
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0.0,
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0.002,
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0.002,
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0.0,
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1.002,
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0.001,
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1.002,
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0.003,
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0.003,
|
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0.003,
|
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1.002
|
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],
|
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"select_new_ys": [
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 9 9 11",
|
|
"ys": [
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n11 - 1.5 = 9.5 (left: 9.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n11 / 1.5 \u2248 7.33 (left: 7.33)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n3.5 + 7.5 = 11 (left: 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n7.5 - 3.5 = 4 (left: 4)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n3.5 * 7.5 = 26.25 (left: 26.25)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n7.5 / 3.5 \u2248 2.14 (left: 2.14)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n1.47 + 7.5 = 8.97 (left: 8.97)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n7.5 - 1.47 = 6.03 (left: 6.03)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n7.5 / 1.47 \u2248 5.1 (left: 5.1)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 / 7.5 \u2248 1.47 (left: 1.47 7.5)\n7.5 * 1.47 \u2248 11.02 (left: 11.02)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n3.5 + 9 = 12.5 (left: 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n9 - 3.5 = 5.5 (left: 5.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n3.5 * 9 = 31.5 (left: 31.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n9 / 3.5 \u2248 2.57 (left: 2.57)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n3.5 + 9 = 12.5 (left: 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n9 - 3.5 = 5.5 (left: 5.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n3.5 * 9 = 31.5 (left: 31.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n1.5 + 2 = 3.5 (left: 3.5 9)\n9 / 3.5 \u2248 2.57 (left: 2.57)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
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0,
|
|
0,
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0.002,
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0.003,
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0.002,
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0,
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0,
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0,
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0,
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0.002,
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0,
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0.002,
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0,
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0,
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0
|
|
],
|
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"select_new_ys": [
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n3.5 + 7.5 = 11 (left: 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n7.5 - 3.5 = 4 (left: 4)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n3.5 + 9 = 12.5 (left: 12.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 933,
|
|
"ys": [
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n3.5 + 7.5 = 11 (left: 11)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 - 9 = 2 (left: 1.5 2 9)\n2 + 9 = 11 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n9 - 1.5 = 7.5 (left: 7.5 11)\n11 - 7.5 = 3.5 (left: 3.5 7.5)\n7.5 - 3.5 = 4 (left: 4)\n",
|
|
"9 / 6 = 1.5 (left: 1.5 9 11)\n11 + 1.5 = 12.5 (left: 9 12.5)\n12.5 - 9 = 3.5 (left: 3.5 9)\n3.5 + 9 = 12.5 (left: 12.5)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
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{
|
|
"r": 0
|
|
},
|
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{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 234292,
|
|
"prompt_tokens": 601933,
|
|
"cost": 32.11551
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 8 11 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 8 = 13 (left: 11 12 13)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n",
|
|
"5 * 8 = 40 (left: 11 12 40)\n",
|
|
"8 * 11 = 88 (left: 5 12 88)\n",
|
|
"11 * 12 = 132 (left: 5 8 132)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 8 11) (if only integers are allowed, ignore this step)\n",
|
|
"11 / 5 = 2.2 (left: 2.2 8 12) (if only integers are allowed, ignore this step)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 11 12) (if only integers are allowed, ignore this step)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
41.0,
|
|
3.0,
|
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3.0,
|
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41.0,
|
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0.003,
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0.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 8 11 12",
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n6 + 8 = 14 (left: 12 14)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 / 6 = 2 (left: 2 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 / 8 = 1.5 (left: 1.5 6)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n4 + 5 = 9 (left: 9 11)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n4 * 5 = 20 (left: 11 20)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 * 11 = 55 (left: 4 55)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n11 / 4 = 2.75 (left: 2.75 5)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n3 + 11 = 14 (left: 12 14)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n11 - 3 = 8 (left: 8 12)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n12 - 3 = 9 (left: 9 11)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n3 * 11 = 33 (left: 12 33)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n12 / 3 = 4 (left: 4 11)\n",
|
|
"8 - 5 = 3 (left: 3 11 12)\n12 - 11 = 1 (left: 1 3)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n7 * 8 = 56 (left: 11 56)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n8 * 11 = 88 (left: 7 88)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n7 / 8 = 0.875 (left: 0.875 11)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n8 / 7 = 1.1428571428571428 (left: 1.1428571428571428 11)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 8 = 1.375 (left: 1.375 7)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n3 + 5 = 8 (left: 8 12)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n5 + 12 = 17 (left: 3 17)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n12 - 3 = 9 (left: 5 9)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n5 * 3 = 15 (left: 12 15)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n",
|
|
"11 - 8 = 3 (left: 3 5 12)\n3 * 5 = 15 (left: 12 15)\n"
|
|
],
|
|
"values": [
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|
0.003,
|
|
60.0,
|
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2.001,
|
|
1.002,
|
|
60.0,
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|
3.0,
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0.003,
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0.003,
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|
0.003,
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0.003,
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|
2.001,
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|
1.002,
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0.003,
|
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0.003,
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0.003,
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1.002,
|
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2.001,
|
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3.0,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
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2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 8 11 12",
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 / 6 = 0.67 (left: 0.67)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n16 - 4 = 12 (left: 12)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 * 16 = 64 (left: 64)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n16 / 4 = 4 (left: 4)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n1.5714285714285714 + 8 = 9.571428571428571 (left: 9.571428571428571)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n8 - 1.5714285714285714 = 6.428571428571429 (left: 6.428571428571429)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n8 / 1.5714285714285714 \u2248 5.090909090909091 (left: 5.090909090909091)\n",
|
|
"12 - 5 = 7 (left: 7 8 11)\n11 / 7 = 1.5714285714285714 (left: 1.5714285714285714 8)\n1.5714285714285714 * 8 \u2248 12.571428571428571 (left: 12.571428571428571)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 / 6 = 1.33 (left: 1.33 6)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
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60.0,
|
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0.0,
|
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0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
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0.001,
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0.003,
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0.002,
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0.002,
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0.002,
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0.0,
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0.001,
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0.001,
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0.0,
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0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 8 11 12",
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 5) * (8 - 6) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (12 - 8) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 + 6 = 14 (left: 2 14 14)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 6 = 12 (left: 2 8 12)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n7 + 6 = 13 (left: 8 8 13)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 + 2 = 22 (left: 8 8 14 22)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 - 2 = 18 (left: 8 8 14 18)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 / 2 = 10 (left: 8 8 10 14)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n2 * 20 = 40 (left: 8 8 14 40)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 + 8 = 28 (left: 2 8 14 28)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 - 8 = 12 (left: 2 8 12 14)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 / 8 = 2.5 (left: 2 2.5 8 14)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n8 * 20 = 160 (left: 2 14 160)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 + 14 = 34 (left: 2 8 8 34)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n20 - 14 = 6 (left: 2 6 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 5 11)\n5 + 11 = 16 (left: 4 16)\n4 + 16 = 20 (left: 20)\n14 * 20 = 280 (left: 2 8 8 280)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.0,
|
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0.003,
|
|
0.002,
|
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0.002,
|
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0,
|
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0,
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0,
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0,
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0,
|
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0,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (12 - 8) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 5) * (8 - 6) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 934,
|
|
"ys": [
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (11 - 5) * (12 - 8) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (11 - 5) * (8 - 6) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"11 - 5 = 6 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 240964,
|
|
"prompt_tokens": 617301,
|
|
"cost": 32.97687
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 6 8 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 6 = 11 (left: 8 10 11)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n",
|
|
"10 - 5 = 5 (left: 5 6 8)\n",
|
|
"10 - 6 = 4 (left: 4 5 8)\n",
|
|
"8 - 5 = 3 (left: 3 6 10)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 8 10)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 6 10)\n",
|
|
"10 / 6 = 1.666... (left: 1.666... 5 8)\n",
|
|
"8 / 6 = 1.333... (left: 1.333... 5 10)\n",
|
|
"5 * 6 = 30 (left: 8 10 30)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n",
|
|
"5 * 10 = 50 (left: 6 8 50)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
20.002,
|
|
60.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 6 8 10",
|
|
"ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n10 - 6 = 4 (left: 4 40)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 6 = 6.67 (approximately, left: 6.67 10)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n10 * 6 = 60 (left: 40 60)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n5 + 10 = 15 (left: 15 48)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n10 - 5 = 5 (left: 5 48)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n48 / 5 = 9.6 (left: 10 9.6)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n48 - 5 = 43 (left: 10 43)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n48 - 10 = 38 (left: 5 38)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n10 * 5 = 50 (left: 48 50)\n",
|
|
"6 * 8 = 48 (left: 5 10 48)\n5 * 48 = 240 (left: 10 240)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n8 + 10 = 18 (left: 11 18)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n10 - 8 = 2 (left: 2 11)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n11 - 8 = 3 (left: 3 10)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n11 - 10 = 1 (left: 1 8)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n10 / 8 = 1.25 (left: 1.25 11)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n11 / 8 = 1.375 (left: 1.375 10)\n",
|
|
"5 + 6 = 11 (left: 8 10 11)\n11 / 10 = 1.1 (left: 1.1 8)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n1 + 8 = 9 (left: 9 10)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n8 - 1 = 7 (left: 7 10)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n10 - 1 = 9 (left: 8 9)\n",
|
|
"6 - 5 = 1 (left: 1 8 10)\n10 - 8 = 2 (left: 1 2)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
0.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 6 8 10",
|
|
"ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 + 40 = 56 (left: 56)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 / 16 = 2.5 (left: 2.5)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 10 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n10 + 34 = 44 (left: 44)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n10 - 34 = -24 (left: -24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 - 10 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n10 * 34 = 340 (left: 340)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 / 10 = 3.4 (left: 3.4)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
60.0,
|
|
2.001,
|
|
0.001,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
60.0,
|
|
0.003,
|
|
1.001,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 - 10 = 24 (left: 24)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 6 8 10",
|
|
"ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 - 10 = 24 (left: 24)\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 10) = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * 8 / 10) * 6 = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 - 10 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 10) = 24\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 / 5) * 8 = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n2 * 320 = 640 (left: 320)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n8 * 80 = 640 (left: 80)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n14 * 45.71 = 640 (not a whole number)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n2^6 * 10 = 640 (left: 10)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n8^2 = 64, 64 * 10 = 640 (left: 10)\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n14^2 = 196, 196 * 3.26 = 640 (not a whole number)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.0,
|
|
0.0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 10) = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * 8 / 10) * 6 = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 - 10 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 10) = 24\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 / 5) * 8 = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n8 * 80 = 640 (left: 80)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 935,
|
|
"ys": [
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 10) = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 / 10 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (5 * 8 / 10) * 6 = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n40 - 6 = 34 (left: 10 34)\n34 - 10 = 24 (left: 24)\nAnswer: (5 * 8) - (6 + 10) = 24\n",
|
|
"10 / 5 = 2 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 / 5) * 8 = 24\n",
|
|
"5 * 8 = 40 (left: 6 10 40)\n6 + 10 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n8 * 80 = 640 (left: 80)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 246707,
|
|
"prompt_tokens": 634162,
|
|
"cost": 33.82728
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 11 12 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 11 = 17 (left: 12 13 17)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n",
|
|
"12 + 6 = 18 (left: 11 13 18)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n",
|
|
"13 + 6 = 19 (left: 11 12 19)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n",
|
|
"11 * 6 = 66 (left: 12 13 66)\n",
|
|
"13 - 11 = 2 (left: 2 6 12)\n",
|
|
"13 / 11 = 1.18 (approx) (left: 1.18 6 12)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 6 = 5 (left: 5 12 13)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 11 12 13",
|
|
"ys": [
|
|
"11 - 6 = 5 (left: 5 12 13)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 6 = 5 (left: 5 12 13)\n5 + 12 = 17 (left: 13 17)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 - 5 = 7 (left: 7 13)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 12 = 1 (left: 1 5)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n5 * 12 = 60 (left: 13 60)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n6 + 11 = 17 (left: 13 17)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n11 - 6 = 5 (left: 5 13)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n13 - 6 = 7 (left: 7 11)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n13 - 11 = 2 (left: 2 6)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n11 + 13 = 24 (left: 6 24)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n6 * 11 = 66 (left: 13 66)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n13 * 6 = 78 (left: 11 78)\n",
|
|
"12 - 6 = 6 (left: 6 11 13)\n13 * 11 = 143 (left: 6 143)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n7 + 11 = 18 (left: 12 18)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 - 7 = 4 (left: 4 12)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n12 - 7 = 5 (left: 5 11)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n12 / 7 \u2248 1.71 (left: 1.71 11) (non-integer result)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n7 * 11 = 77 (left: 12 77)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n2 + 11 = 13 (left: 13 13)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n11 - 2 = 9 (left: 9 13)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n2 * 11 = 22 (left: 13 22)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n13 - 11 = 2 (left: 2 2)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n13 - 2 = 11 (left: 11 11)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n13 / 2 (not a whole number)\n",
|
|
"12 / 6 = 2 (left: 2 11 13)\n11 / 2 (not a whole number)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n6 + 13 = 19 (left: 19 23)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n13 - 6 = 7 (left: 7 23)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 6 = 17 (left: 13 17)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 + 6 = 29 (left: 13 29)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 + 13 = 36 (left: 6 36)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 11 12 13",
|
|
"ys": [
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n13 - 2.4 = 10.6 (left: 10.6)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n13 / 2.4 \u2248 5.42 (left: 5.42)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n1.57 + 12 = 13.57 (left: 13.57)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n12 - 1.57 = 10.43 (left: 10.43)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n12 / 1.57 \u2248 7.64 (left: 7.64)\n",
|
|
"13 - 6 = 7 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (non-integer result)\n12 * 1.57 \u2248 18.84 (left: 18.84)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n12 - 8 = 4 (left: 4)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 * 12 = 96 (left: 96)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 + 10 = 16 (left: 16)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n3.833 + 13 = 16.833 (left: 16.833)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n13 - 3.833 = 9.167 (left: 9.167)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n13 / 3.833 \u2248 3.392 (left: 3.392)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 / 6 = 3.833 (left: 3.833 13) (not an integer result, so not recommended)\n3.833 * 13 \u2248 49.829 (left: 49.829)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
60.0,
|
|
1.002,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 11 12 13",
|
|
"ys": [
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 14 8)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 14 = 4.2857 (left: 2 4.2857 8 8)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\nThere are no possible next steps with just one number. Please provide at least two numbers to perform operations.\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 + 2 = 22 (left: 8 8 14 22)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 - 2 = 18 (left: 8 8 14 18)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 / 2 = 10 (left: 8 8 10 14)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 * 2 = 40 (left: 8 8 14 40)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 + 8 = 28 (left: 2 8 14 28)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 - 8 = 12 (left: 2 12 14 14)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 / 8 = 2.5 (left: 2 2.5 8 14)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 * 8 = 160 (left: 2 14 160)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 + 14 = 34 (left: 2 8 8 34)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 - 14 = 6 (left: 2 6 8 8)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n20 / 14 = 1.4286 (left: 1.4286 2 8 8)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 + 2 = 33.2 (left: 8 8 14 33.2)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 + 8 = 39.2 (left: 2 8 14 39.2)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 + 14 = 45.2 (left: 2 8 8 45.2)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n2 * 31.2 = 62.4 (left: 8 8 14 62.4)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 - 2 = 29.2 (left: 8 8 14 29.2)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 - 8 = 23.2 (left: 2 8 14 23.2)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 - 14 = 17.2 (left: 2 8 8 17.2)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n14 * 31.2 = 436.8 (left: 2 8 8 436.8)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 / 2 = 15.6 (left: 8 8 14 15.6)\n",
|
|
"11 - 6 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n31.2 / 8 = 3.9 (left: 2 3.9 14 14)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 14 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 936,
|
|
"ys": [
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"11 + 12 = 23 (left: 6 13 23)\n23 - 13 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 14 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 255577,
|
|
"prompt_tokens": 654710,
|
|
"cost": 34.97592
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 2 8 8",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 8 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n"
|
|
],
|
|
"values": [
|
|
22.0,
|
|
22.0,
|
|
22.0,
|
|
60.0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 2 8 8",
|
|
"ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n8 - 4 = 4 (left: 4 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n8 - 4 = 4 (left: 4 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 + 2 = 8 (left: 8 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n2 * 6 = 12 (left: 8 12)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
0.002,
|
|
1.002,
|
|
0,
|
|
0,
|
|
0,
|
|
1.002,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 2 8 8",
|
|
"ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 * 8 = 128 (left: 128)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n8 + 32 = 40 (left: 40)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n8 * 32 = 256 (left: 256)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 / 8 = 4 (left: 4)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n8 + 32 = 40 (left: 40)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 / 8 = 4 (left: 4 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 8 24)\n",
|
|
"2 * 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n8 * 32 = 256 (left: 256)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 2 8 8",
|
|
"ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (8 / 2) * (4 + 4) = 24\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (8 * (2 + 2)) - 8 = 24\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 2) * (6 / 2) = 24\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 / 8 = 1 (left: 1)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (8 / 2) * (4 + 4) = 24\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (8 * (2 + 2)) - 8 = 24\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 2) * (6 / 2) = 24\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 937,
|
|
"ys": [
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (8 / 2) * (4 + 4) = 24\n",
|
|
"2 + 2 = 4 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (8 * (2 + 2)) - 8 = 24\n",
|
|
"8 - 2 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (8 - 2) * (6 / 2) = 24\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"8 / 2 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 256701,
|
|
"prompt_tokens": 660398,
|
|
"cost": 35.214
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 7 12 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n",
|
|
"12 + 2 = 14 (left: 7 13 14)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n",
|
|
"7 * 2 = 14 (left: 12 13 14)\n",
|
|
"12 / 2 = 6 (left: 6 7 13)\n",
|
|
"13 / 2 = 6.5 (left: 6.5 7 12) (if only integer operations are allowed, ignore this step)\n",
|
|
"13 - 7 = 6 (left: 2 6 12)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 7 12 13",
|
|
"ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n9 + 12 = 21 (left: 13 21)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 + 9 = 22 (left: 12 22)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 - 9 = 4 (left: 4 12)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n9 * 12 = 108 (left: 13 108)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 + 13 = 25 (left: 9 25)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 * 9 = 108 (left: 13 108)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 - 12 = 1 (left: 1 9)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n5 + 12 = 17 (left: 13 17)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 - 5 = 7 (left: 7 13)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n13 - 12 = 1 (left: 1 5)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n5 * 12 = 60 (left: 13 60)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n13 / 5 = 2.6 (left: 2.6 12)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n7 + 10 = 17 (left: 13 17)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n10 + 13 = 23 (left: 7 23)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n13 - 7 = 6 (left: 6 10)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n13 - 10 = 3 (left: 3 7)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n10 - 7 = 3 (left: 3 13)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n7 * 10 = 70 (left: 13 70)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n10 * 13 = 130 (left: 7 130)\n",
|
|
"12 - 2 = 10 (left: 7 10 13)\n7 * 13 = 91 (left: 10 91)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n7 + 12 = 19 (left: 15 19)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n12 + 15 = 27 (left: 7 27)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n15 - 7 = 8 (left: 8 12)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n12 - 7 = 5 (left: 5 15)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n15 / 3 = 5 (left: 5 12)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n12 * 15 = 180 (left: 7 180)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n7 * 12 = 84 (left: 15 84)\n",
|
|
"13 + 2 = 15 (left: 7 12 15)\n7 * 15 = 105 (left: 12 105)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n7 + 11 = 18 (left: 12 18)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 - 7 = 4 (left: 4 12)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n12 - 7 = 5 (left: 5 11)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n12 / 7 \u2248 1.71 (left: 1.71 11) (not an integer operation)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n12 / 11 \u2248 1.09 (left: 1.09 7) (not an integer operation)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 7 12 13",
|
|
"ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n1.33 + 13 = 14.33 (left: 14.33)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 / 1.33 \u2248 9.77 (left: 9.77)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n1.44 + 12 = 13.44 (left: 13.44)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 / 1.44 \u2248 8.33 (left: 8.33)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n1.44 * 12 = 17.28 (left: 17.28)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n13 - 2.4 = 10.6 (left: 10.6)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n13 / 2.4 \u2248 5.42 (left: 5.42)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 * 13 = 31.2 (left: 31.2)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n1.57 + 12 = 13.57 (left: 13.57)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n12 - 1.57 = 10.43 (left: 10.43)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n12 / 1.57 \u2248 7.64 (left: 7.64)\n",
|
|
"13 - 2 = 11 (left: 7 11 12)\n11 / 7 \u2248 1.57 (left: 1.57 12) (not an integer operation)\n1.57 * 12 \u2248 18.84 (left: 18.84)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 + 13 = 16 (left: 16)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n13 - 3 = 10 (left: 10)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
3.0,
|
|
0.001,
|
|
0.0,
|
|
3.0,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.002,
|
|
0.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 / 1.44 \u2248 8.33 (left: 8.33)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 7 12 13",
|
|
"ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 / 1.44 \u2248 8.33 (left: 8.33)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n1.33 + 11.67 = 13 (left: 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n11.67 - 1.33 = 10.34 (left: 10.34)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n1.33 * 11.67 = 15.5201 (left: 15.5201)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n11.67 / 1.33 = 8.782894736842105 (left: 8.7829)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n1.44 + 10.56 = 12 (left: 12)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n10.56 - 1.44 = 9.12 (left: 1.44 9.12)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n1.44 * 10.56 = 15.2064 (left: 15.2064)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n10.56 / 1.44 = 7.3333 (left: 7.3333)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 + 2 = 17.4 (left: 8 8 17.4)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 - 2 = 13.4 (left: 8 8 13.4)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 * 2 = 30.8 (left: 8 8 30.8)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 / 2 = 7.7 (left: 7.7 8 14)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n2 + 15.4 = 17.4 (left: 8 8 17.4)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n2 - 15.4 = -13.4 (left: -13.4 8 14)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n2 * 15.4 = 30.8 (left: 8 8 30.8)\n",
|
|
"7 - 2 = 5 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n2 / 15.4 = 0.129870 (left: 0.129870 8 14)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n39 + 2 = 41 (left: 8 8 14 41)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n39 - 2 = 37 (left: 8 8 14 37)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n39 + 8 = 47 (left: 2 8 14 47)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n39 - 8 = 31 (left: 2 8 14 31)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n39 + 14 = 53 (left: 2 8 8 53)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n3 * 13 = 39 (left: 39)\n39 - 14 = 25 (left: 2 8 8 25)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 / 1.44 \u2248 8.33 (left: 8.33)\nThere are no next steps available since there is only one number provided. Please provide more numbers for further calculations.\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n1.44 + 10.56 = 12 (left: 12)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n1.33 + 11.67 = 13 (left: 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n11.67 - 1.33 = 10.34 (left: 10.34)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n1.33 * 11.67 = 15.5201 (left: 15.5201)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n11.67 / 1.33 = 8.782894736842105 (left: 8.7829)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 938,
|
|
"ys": [
|
|
"2 + 7 = 9 (left: 9 12 13)\n13 / 9 = 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 1.44 10.56)\n1.44 + 10.56 = 12 (left: 12)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n1.33 + 11.67 = 13 (left: 13)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n11.67 - 1.33 = 10.34 (left: 10.34)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n1.33 * 11.67 = 15.5201 (left: 15.5201)\n",
|
|
"2 + 7 = 9 (left: 9 12 13)\n12 / 9 = 1.33 (left: 1.33 13)\n13 - 1.33 = 11.67 (left: 1.33 11.67)\n11.67 / 1.33 = 8.782894736842105 (left: 8.7829)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 265320,
|
|
"prompt_tokens": 679968,
|
|
"cost": 36.318239999999996
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 6 8 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 6 = 8 (left: 8 8 12)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n",
|
|
"12 + 2 = 14 (left: 6 8 14)\n",
|
|
"2 * 6 = 12 (left: 8 12 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n",
|
|
"12 / 2 = 6 (left: 6 6 8)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
22.0,
|
|
3.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 6 8 12",
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n8 - 4 = 4 (left: 4 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 - 8 = 4 (left: 4 4)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 - 4 = 8 (left: 8 8)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 * 8 = 32 (left: 12 32)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 * 8 = 48 (left: 10 48)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n8 * 10 = 80 (left: 6 80)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 / 2 = 3 (left: 3 10)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n2 + 6 = 8 (left: 8 8)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n8 - 2 = 6 (left: 6 6)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n8 - 6 = 2 (left: 2 2)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 - 2 = 4 (left: 4 8)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n8 + 8 = 16 (left: 12 16)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n8 * 8 = 64 (left: 12 64)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 + 8 = 20 (left: 8 20)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 - 8 = 4 (left: 4 8)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n3 + 8 = 11 (left: 11 12)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n12 - 3 = 9 (left: 8 9)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n",
|
|
"6 / 2 = 3 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
0.002,
|
|
60.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
0.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 6 8 12",
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n8 / 3 \u2248 2.67 (left: 2.67)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 - 14 = -4 (left: -4)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n1.5 + 8 = 9.5 (left: 9.5)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n8 - 1.5 = 6.5 (left: 6.5)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n8 / 1.5 \u2248 5.33 (left: 5.33)\n",
|
|
"2 + 6 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
60.0,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 6 8 12",
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 - 2) + 8 + 12 = 24\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (12 / (6 - 2)) = 24\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (12 - 2) + (6 + 8) = 24\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * 8 = (12 - 6) / 2 = 24\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n12 - 0 = 12 (left: 12)\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 * 12 = 0 (left: 0)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (12 / (6 - 2)) = 24\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 - 2) + 8 + 12 = 24\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (12 - 2) + (6 + 8) = 24\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * 8 = (12 - 6) / 2 = 24\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 12)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 939,
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 4 8 12)\n12 / 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (12 / (6 - 2)) = 24\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (6 - 2) + 8 + 12 = 24\n",
|
|
"12 - 2 = 10 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (12 - 2) + (6 + 8) = 24\n",
|
|
"12 - 6 = 6 (left: 2 6 8)\n6 / 2 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * 8 = (12 - 6) / 2 = 24\n",
|
|
"6 - 2 = 4 (left: 4 8 12)\n4 + 8 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 12)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 267802,
|
|
"prompt_tokens": 689213,
|
|
"cost": 36.74451
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 4 9 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 7 9 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n",
|
|
"13 - 4 = 9 (left: 3 9 9)\n",
|
|
"13 - 9 = 4 (left: 3 4 4)\n",
|
|
"9 / 3 = 3 (left: 3 4 13)\n",
|
|
"13 / 3 \u2248 4.33 (not an exact result, so it's not a valid step)\n",
|
|
"13 / 4 \u2248 3.25 (not an exact result, so it's not a valid step)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n",
|
|
"9 - 3 = 6 (left: 4 6 13)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 4 9 13",
|
|
"ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n5 * 3 = 15 (left: 13 15)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 3 = 10 (left: 5 10)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n5 - 3 = 2 (left: 2 13)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n7 + 9 = 16 (left: 13 16)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n9 - 7 = 2 (left: 2 13)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n13 - 7 = 6 (left: 6 9)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n13 - 9 = 4 (left: 4 7)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n7 * 9 = 63 (left: 13 63)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n9 / 7 = 1.2857 (left: 1.2857 13)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n13 / 7 = 1.8571 (left: 1.8571 9)\n",
|
|
"3 + 4 = 7 (left: 7 9 13)\n13 / 9 = 1.4444 (left: 1.4444 7)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n1 + 9 = 10 (left: 10 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n9 - 1 = 8 (left: 8 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n13 - 1 = 12 (left: 9 12)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n13 - 9 = 4 (left: 1 4)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n1 * 9 = 9 (left: 9 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n13 / 1 = 13 (left: 9 13)\n",
|
|
"4 - 3 = 1 (left: 1 9 13)\n9 / 1 = 9 (left: 9 13)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n4 + 9 = 13 (left: 10 13)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 - 4 = 5 (left: 5 10)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 - 4 = 6 (left: 6 9)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 9 = 1.11 (left: 1.11 4)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n4 * 9 = 36 (left: 10 36)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n4 * 10 = 40 (left: 9 40)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 * 10 = 90 (left: 4 90)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n9 + 12 = 21 (left: 13 21)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n12 + 13 = 25 (left: 9 25)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 - 9 = 4 (left: 4 12)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n12 - 9 = 3 (left: 3 13)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n9 * 12 = 108 (left: 13 108)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n9 * 13 = 117 (left: 12 117)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n12 * 13 = 156 (left: 9 156)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 4 9 13",
|
|
"ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 + 5 = 9.33 (left: 9.33)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 - 5 = -0.67 (left: -0.67)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n5 - 4.33 = 0.67 (left: 0.67)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 * 5 = 21.65 (left: 21.65)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n5 / 4.33 \u2248 1.15 (left: 1.15)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 + 10 = 12.25 (left: 12.25)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n10 - 2.25 = 7.75 (left: 7.75)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n10 / 2.25 \u2248 4.44 (left: 4.44)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n2.5 + 9 = 11.5 (left: 11.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 - 2.5 = 6.5 (left: 6.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n2.5 * 9 = 22.5 (left: 22.5)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n1.44 + 12 = 13.44 (left: 13.44)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n12 - 1.44 = 10.56 (left: 10.56)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n12 / 1.44 \u2248 8.33 (left: 8.33)\n",
|
|
"3 * 4 = 12 (left: 9 12 13)\n13 / 9 = approx. 1.44 (left: 1.44 12)\n12 * 1.44 = 17.28 (left: 17.28)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.001,
|
|
0.001,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
0.0,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.0,
|
|
0.001,
|
|
0.002,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 4 9 13",
|
|
"ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (13 - (9 - 4)) = 24\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 3 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n0.87 + 2 = 2.87 (left: 8 8 14 2.87)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n0.87 + 8 = 8.87 (left: 2 8 14 8.87)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n0.87 + 14 = 14.87 (left: 2 8 8 14.87)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n2 - 0.87 = 1.13 (left: 1.13 8 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n8 - 0.87 = 7.13 (left: 2 7.13 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n14 - 0.87 = 13.13 (left: 2 8 8 13.13)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n2 / 0.87 = 2.3 (approx) (left: 2.3 8 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n8 / 0.87 = 9.2 (approx) (left: 2 9.2 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n14 / 0.87 = 16.09 (approx) (left: 2 8 8 16.09)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n0.87 * 2 = 1.74 (left: 1.74 8 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n0.87 * 8 = 6.96 (left: 2 6.96 8 14)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 / 3 \u2248 4.33 (left: 4.33 5) (not an integer result)\n4.33 / 5 \u2248 0.87 (left: 0.87)\n0.87 * 14 = 12.18 (left: 2 8 8 12.18)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 + 2 = 24.5 (left: 8 8 14 24.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 + 8 = 30.5 (left: 2 8 14 30.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 + 14 = 36.5 (left: 2 8 8 36.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n2 * 22.5 = 45 (left: 8 8 14 45)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n14 * 22.5 = 315 (left: 2 8 8 315)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 - 2 = 20.5 (left: 8 8 14 20.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 - 8 = 14.5 (left: 2 8 14 14.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 - 14 = 8.5 (left: 2 8 8 8.5)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 / 2 = 11.25 (left: 8 8 14 11.25)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n9 / 4 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n22.5 / 8 = 2.8125 (left: 2 8 14 2.8125)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n3.6 + 2 = 5.6 (left: 5.6 8 14)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n3.6 + 8 = 11.6 (left: 2 11.6 14)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n3.6 + 14 = 17.6 (left: 2 8 17.6)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n2 * 3.6 = 7.2 (left: 7.2 8 14)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n8 - 3.6 = 4.4 (left: 2 4.4 14)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n14 - 3.6 = 10.4 (left: 2 8 10.4)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n14 / 3.6 = 3.8889 (rounded to 4 decimal places) (left: 2 8 3.8889)\n",
|
|
"13 - 3 = 10 (left: 4 9 10)\n10 / 4 = 2.5 (left: 2.5 9)\n9 / 2.5 = 3.6 (left: 3.6)\n8 / 3.6 = 2.2222 (rounded to 4 decimal places) (left: 2 2.2222 14)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (13 - (9 - 4)) = 24\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 940,
|
|
"ys": [
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (13 - (9 - 4)) = 24\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 4 = 5 (left: 3 5 13)\n13 - 5 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n"
|
|
],
|
|
"infos": [
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{
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{
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{
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},
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{
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},
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{
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}
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],
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"usage_so_far": {
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}
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},
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{
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{
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|
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"x": "4 5 10 12",
|
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"ys": [
|
|
""
|
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],
|
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"new_ys": [
|
|
"4 + 5 = 9 (left: 9 10 12)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n",
|
|
"10 - 5 = 5 (left: 4 5 12)\n",
|
|
"12 - 5 = 7 (left: 4 7 10)\n",
|
|
"12 - 10 = 2 (left: 2 4 5)\n",
|
|
"12 / 4 = 3 (left: 3 5 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n"
|
|
],
|
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"values": [
|
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3.0,
|
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3.0,
|
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3.0,
|
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3.0,
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3.0,
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3.0,
|
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3.0,
|
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3.0,
|
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21.001
|
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],
|
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"select_new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 5 10 12",
|
|
"ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n10 + 12 = 22 (left: 20 22)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 - 10 = 2 (left: 2 20)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n10 * 12 = 120 (left: 20 120)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n9 + 10 = 19 (left: 12 19)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n10 + 12 = 22 (left: 9 22)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n12 + 9 = 21 (left: 10 21)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n10 - 9 = 1 (left: 1 12)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n9 * 10 = 90 (left: 12 90)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n10 * 12 = 120 (left: 9 120)\n",
|
|
"4 + 5 = 9 (left: 9 10 12)\n9 * 12 = 108 (left: 10 108)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n1 + 10 = 11 (left: 11 12)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n10 - 1 = 9 (left: 9 12)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n12 - 10 = 2 (left: 1 2)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n12 - 1 = 11 (left: 10 11)\n",
|
|
"5 - 4 = 1 (left: 1 10 12)\n12 / 1 = 12 (left: 10 12)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n5 + 6 = 11 (left: 11 12)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n6 - 5 = 1 (left: 1 12)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n12 - 6 = 6 (left: 5 6)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n12 - 5 = 7 (left: 6 7)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n12 / 6 = 2 (left: 2 5)\n",
|
|
"10 - 4 = 6 (left: 5 6 12)\n12 / 5 = 2.4 (left: 2.4 6)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n5 + 8 = 13 (left: 10 13)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 - 5 = 3 (left: 3 10)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n10 - 5 = 5 (left: 5 8)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n10 - 8 = 2 (left: 2 5)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n5 * 8 = 40 (left: 10 40)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n10 / 5 = 2 (left: 2 8)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n10 / 8 = 1.25 (left: 1.25 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
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2.001,
|
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0.003,
|
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60.0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
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1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
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0.003,
|
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0.003,
|
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0.003,
|
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0.003,
|
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0.003,
|
|
1.002,
|
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0.003,
|
|
0.003,
|
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0.003,
|
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1.002,
|
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0,
|
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1.002,
|
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0.003,
|
|
1.002,
|
|
0.003,
|
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0,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 5 10 12",
|
|
"ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 + 20 = 21.2 (left: 21.2)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n20 - 1.2 = 18.8 (left: 18.8)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n20 / 1.2 = 16.67 (left: 16.67)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 * 20 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n10 - 1.6 = 8.4 (left: 8.4)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n10 / 1.6 = 6.25 (left: 6.25)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 * 10 = 16 (left: 16)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n8 + 10 = 18 (left: 18)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n8 * 10 = 80 (left: 80)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 12 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n10 + 12 = 22 (left: 22)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n10 * 12 = 120 (left: 120)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
60.0,
|
|
2.001,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 * 20 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 5 10 12",
|
|
"ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 * 20 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 5 / 10) * 12 = 24\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 * 20 = 24 (left: 24)\nAnswer: (4 * 5) * (12 / 10) = 24\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\nRound 11.6 up to 12 (left: 12)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\nRound 11.6 down to 11 (left: 11)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 + 1 = 12.6 (left: 12.6)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 - 1 = 10.6 (left: 10.6)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 * 2 = 23.2 (left: 23.2)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n11.6 / 2 = 5.8 (left: 5.8)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n1.2 + 10 = 11.2 (left: 11.2)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n10 - 1.2 = 8.8 (left: 8.8)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n10 / 1.2 \u2248 8.33 (left: 8.33)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n1.2 * 10 = 12 (left: 12)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 5 / 10) * 12 = 24\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 * 20 = 24 (left: 24)\nAnswer: (4 * 5) * (12 / 10) = 24\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\nRound 11.6 down to 11 (left: 11)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\nRound 11.6 up to 12 (left: 12)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 941,
|
|
"ys": [
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 / 10 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 5 / 10) * 12 = 24\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n12 / 10 = 1.2 (left: 1.2 20)\n1.2 * 20 = 24 (left: 24)\nAnswer: (4 * 5) * (12 / 10) = 24\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\nRound 11.6 down to 11 (left: 11)\n",
|
|
"4 * 5 = 20 (left: 10 12 20)\n20 - 10 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"12 - 4 = 8 (left: 5 8 10)\n8 / 5 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\nRound 11.6 up to 12 (left: 12)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 284425,
|
|
"prompt_tokens": 725496,
|
|
"cost": 38.83038
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 2 7 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 7 11)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n",
|
|
"7 / 1 = 7 (left: 2 7 11)\n",
|
|
"11 / 1 = 11 (left: 2 7 11)\n",
|
|
"7 - 2 = 5 (left: 1 5 11)\n",
|
|
"11 - 2 = 9 (left: 1 7 9)\n",
|
|
"2 * 7 = 14 (left: 1 11 14)\n",
|
|
"7 * 11 = 77 (left: 1 2 77)\n",
|
|
"11 - 7 = 4 (left: 1 2 4)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 2 = 3 (left: 3 7 11)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 7 11",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 3 7 11)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 7 11)\n3 + 7 = 10 (left: 10 11)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 - 3 = 4 (left: 4 11)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 - 3 = 8 (left: 7 8)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 - 7 = 4 (left: 3 4)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n3 * 7 = 21 (left: 11 21)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n1 + 7 = 8 (left: 8 11)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n7 - 1 = 6 (left: 6 11)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n11 - 7 = 4 (left: 1 4)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n11 + 1 = 12 (left: 7 12)\n",
|
|
"2 - 1 = 1 (left: 1 7 11)\n7 * 1 = 7 (left: 7 11)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n6 - 2 = 4 (left: 4 11)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n11 + 2 = 13 (left: 6 13)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n2 * 6 = 12 (left: 11 12)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n11 - 6 = 5 (left: 2 5)\n",
|
|
"7 - 1 = 6 (left: 2 6 11)\n11 / 2 = 5.5 (left: 5.5 6)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 + 7 = 9 (left: 9 10)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 - 2 = 5 (left: 5 10)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n10 - 7 = 3 (left: 2 3)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n10 - 2 = 8 (left: 7 8)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n2 + 7 = 9 (left: 9 11)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 - 2 = 5 (left: 5 11)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n11 - 2 = 9 (left: 7 9)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n11 - 7 = 4 (left: 2 4)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n2 * 7 = 14 (left: 11 14)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 7 11",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 / 10 = 1.4 (left: 1.4)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n3.67 + 7 = 10.67 (left: 10.67)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n7 - 3.67 = 3.33 (left: 3.33)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n3.67 * 7 = 25.69 (left: 25.69)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n11 / 3 = 3.67 (left: 3.67 7) (not a whole number, so not a valid step)\n7 / 3.67 \u2248 1.91 (left: 1.91)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n3.5 + 10 = 13.5 (left: 13.5)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 - 3.5 = 6.5 (left: 6.5)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n3.5 * 10 = 35 (left: 35)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n3.5 + 11 = 14.5 (left: 14.5)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n11 - 3.5 = 7.5 (left: 7.5)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n3.5 * 11 = 38.5 (left: 38.5)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n11 / 3.5 \u2248 3.14 (left: 3.14)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n2.33 + 11 = 13.33 (left: 13.33)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n11 - 2.33 = 8.67 (left: 8.67)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n11 / 2.33 \u2248 4.72 (left: 4.72)\n",
|
|
"1 + 2 = 3 (left: 3 7 11)\n7 / 3 = 2.33 (left: 2.33 11) (not a whole number, so not a valid step)\n2.33 * 11 = 25.63 (left: 25.63)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
1.001,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0.001,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n11 / 3.5 \u2248 3.14 (left: 3.14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 7 11",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n11 / 3.5 \u2248 3.14 (left: 3.14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (11 - 1) + (2 * 7) = 24\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 2 = 4.857 (left: 4.857 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 8 = 10.857 (left: 10.857 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 14 = 16.857 (left: 8 8 16.857)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 * 2 = 5.714 (left: 5.714 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 * 8 = 22.856 (left: 14 22.856 8)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 * 14 = 40.998 (left: 8 8 40.998)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n14 - 2.857 = 11.143 (left: 11.143 8 8)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n8 - 2.857 = 5.143 (left: 5.143 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n14 / 2.857 \u2248 4.9 (left: 4.9 8 8)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 / 2 \u2248 1.4285 (left: 1.4285 8 14)\n",
|
|
"1 * 2 = 2 (left: 2 7 11)\n7 / 2 = 3.5 (left: 3.5 11)\n11 / 3.5 \u2248 3.14 (left: 3.14)\nThere are no additional numbers provided, so no mathematical operations can be performed with the given input of 3.14. Please provide more numbers to perform operations.\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n2 + 4 = 6 (left: 6 8 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n4 + 8 = 12 (left: 2 8 12 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n4 + 14 = 18 (left: 2 8 8 18)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n8 / 4 = 2 (left: 2 2 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n14 / 4 = 3.5 (left: 2 3.5 8 8)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n14 - 4 = 10 (left: 2 8 10 8)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n4 * 2 = 8 (left: 8 8 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 / 2 = 70 (left: 8 8 14 70)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 / 8 = 17.5 (left: 2 8 14 17.5)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 / 14 = 10 (left: 2 8 8 10)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 - 2 = 138 (left: 8 8 14 138)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 - 8 = 132 (left: 2 8 14 132)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 - 14 = 126 (left: 2 8 8 126)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 + 2 = 142 (left: 8 8 14 142)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 + 8 = 148 (left: 2 8 14 148)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n140 + 14 = 154 (left: 2 8 8 154)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (11 - 1) + (2 * 7) = 24\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 2 = 4.857 (left: 4.857 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 8 = 10.857 (left: 10.857 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 14 = 16.857 (left: 8 8 16.857)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 * 2 = 5.714 (left: 5.714 8 14)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 942,
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 2 7 10)\n2 * 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (11 - 1) + (2 * 7) = 24\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 2 = 4.857 (left: 4.857 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 8 = 10.857 (left: 10.857 8 14)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 + 14 = 16.857 (left: 8 8 16.857)\n",
|
|
"11 - 1 = 10 (left: 2 7 10)\n7 / 2 = 3.5 (left: 3.5 10)\n10 / 3.5 \u2248 2.857 (left: 2.857)\n2.857 * 2 = 5.714 (left: 5.714 8 14)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 294599,
|
|
"prompt_tokens": 747183,
|
|
"cost": 40.091429999999995
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 5 6 8",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n",
|
|
"4 * 5 = 20 (left: 6 8 20)\n",
|
|
"5 * 6 = 30 (left: 4 8 30)\n",
|
|
"6 * 8 = 48 (left: 4 5 48)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n",
|
|
"6 - 8 = -2 (left: 4 5 -2)\n",
|
|
"4 / 5 = 0.8 (left: 0.8 6 8)\n",
|
|
"5 / 6 = 0.8333 (left: 4 0.8333 8)\n",
|
|
"6 / 8 = 0.75 (left: 4 5 0.75)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 5 6 8",
|
|
"ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n6 + 8 = 14 (left: 9 14)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 - 6 = 2 (left: 2 9)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 8 = 1 (left: 1 6)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n6 * 8 = 48 (left: 9 48)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n6 * 9 = 54 (left: 8 54)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n4 + 8 = 12 (left: 11 12)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n8 - 4 = 4 (left: 4 11)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n11 - 4 = 7 (left: 7 8)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n11 - 8 = 3 (left: 3 4)\n",
|
|
"5 + 6 = 11 (left: 4 8 11)\n8 / 4 = 2 (left: 2 11)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n4 + 5 = 9 (left: 9 14)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n5 + 14 = 19 (left: 4 19)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 5 = 9 (left: 4 9)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 / 4 = 3.5 (left: 3.5 5)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 / 5 = 2.8 (left: 4 2.8)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n5 * 4 = 20 (left: 14 20)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n-1 + 6 = 5 (left: 5 8)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n6 - (-1) = 7 (left: 7 8)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n6 + 8 = 14 (left: -1 14)\n",
|
|
"4 - 5 = -1 (left: -1 6 8)\n8 - 6 = 2 (left: -1 2)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 - (-1) = 5 (left: 5 8)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n8 + (-1) = 7 (left: 4 7)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 - 8 = -4 (left: -4 -1)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n8 - 4 = 4 (left: -1 4)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n8 - (-1) = 9 (left: 4 9)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
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3.0,
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|
0.003,
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0.003,
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0.003,
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0.003,
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|
0.003,
|
|
0.003,
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|
0.003,
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|
0.003,
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|
0.003,
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1.002,
|
|
1.002,
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0.003,
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0.003,
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0.003,
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|
0.003,
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0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 5 6 8",
|
|
"ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n8 / 3 = 2.6667 (left: 2.6667)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n1.333 + 9 = 10.333 (left: 10.333)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n9 - 1.333 = 7.667 (left: 7.667)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n9 / 1.333 \u2248 6.75 (left: 6.75)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n8 / 6 = 1.333 (left: 1.333 9)\n1.333 * 9 = 12 (left: 12)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n1.5 + 8 = 9.5 (left: 9.5)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n8 - 1.5 = 6.5 (left: 6.5)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n8 / 1.5 \u2248 5.33 (left: 5.33)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 / 6 = 1.5 (left: 1.5 8)\n1.5 * 8 = 12 (left: 12)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n10 - 5 = 5 (left: 5 5)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n10 / 5 = 2 (left: 2 5)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 * 10 = 50 (left: 50)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.0,
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0.002,
|
|
0.003,
|
|
0,
|
|
0,
|
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0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 5 6 8",
|
|
"ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 + 5 - 6) * 8 = 24\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 6) * (4 + -1) * 8 = 24\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 8 14 88)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 / 11 = 1.27 (left: 2 8 8 1.27)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 8 14 88)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 * 11 = 22 (left: 8 8 14 22)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 * 11 = 88 (left: 2 8 14 88)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 * 11 = 154 (left: 2 8 8 154)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 - 11 = -9 (left: 8 8 14 -9)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 - 11 = -3 (left: 2 8 14 -3)\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 14 13)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 / 2 = 7.5 (left: 8 8 14 7.5)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 + 8 = 23 (left: 8 14 15 23)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 - 8 = 7 (left: 2 8 14 7)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 * 8 = 120 (left: 2 14 120)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 / 8 = 1.875 (left: 2 8 14 1.875)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 + 14 = 29 (left: 2 8 29)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 - 14 = 1 (left: 2 8 8 1)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 * 14 = 210 (left: 2 8 8 210)\n",
|
|
"6 + 8 = 14 (left: 4 5 14)\n14 - 4 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n15 / 14 = 1.0714 (left: 2 8 8 1.0714)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0
|
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],
|
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"select_new_ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 + 5 - 6) * 8 = 24\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 6) * (4 + -1) * 8 = 24\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 943,
|
|
"ys": [
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 + 5 - 6) * 8 = 24\n",
|
|
"5 - 6 = -1 (left: 4 -1 8)\n4 + (-1) = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (5 - 6) * (4 + -1) * 8 = 24\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"4 + 5 = 9 (left: 6 8 9)\n9 - 6 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
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},
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{
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"r": 0
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},
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{
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"r": 0
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},
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{
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"r": 0
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},
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{
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"r": 0
|
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}
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],
|
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"usage_so_far": {
|
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"completion_tokens": 302515,
|
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"prompt_tokens": 762188,
|
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"cost": 41.01654
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}
|
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},
|
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{
|
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"steps": [
|
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{
|
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"step": 0,
|
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"x": "6 10 12 13",
|
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"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 10 = 16 (left: 12 13 16)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n",
|
|
"13 - 12 = 1 (left: 1 6 10)\n"
|
|
],
|
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"values": [
|
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0.003,
|
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
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3.0
|
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],
|
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"select_new_ys": [
|
|
"10 - 6 = 4 (left: 4 12 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 10 12 13",
|
|
"ys": [
|
|
"10 - 6 = 4 (left: 4 12 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 6 = 4 (left: 4 12 13)\n4 + 12 = 16 (left: 13 16)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n12 - 4 = 8 (left: 8 13)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 - 4 = 9 (left: 9 12)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 - 12 = 1 (left: 1 4)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n12 / 4 = 3 (left: 3 13)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n6 + 10 = 16 (left: 13 16)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 - 6 = 4 (left: 4 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 - 6 = 7 (left: 7 10)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 - 10 = 3 (left: 3 6)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 10 = 1.3 (left: 1.3 6)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n2 + 10 = 12 (left: 12 13)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n10 - 2 = 8 (left: 8 13)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n13 - 2 = 11 (left: 10 11)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n13 - 10 = 3 (left: 2 3)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n2 * 10 = 20 (left: 13 20)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n10 / 2 = 5 (left: 5 13)\n",
|
|
"12 / 6 = 2 (left: 2 10 13)\n13 / 2 = 6.5 (not a whole number, not included)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n7 + 10 = 17 (left: 12 17)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n10 + 12 = 22 (left: 7 22)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n12 - 7 = 5 (left: 5 10)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n10 - 7 = 3 (left: 3 12)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n12 / 7 = 1.71 (approx) (left: 1.71 10)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n10 / 7 = 1.43 (approx) (left: 1.43 12)\n",
|
|
"13 - 6 = 7 (left: 7 10 12)\n12 / 10 = 1.2 (left: 1.2 7)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n3 + 6 = 9 (left: 9 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 - 6 = 6 (left: 3 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 - 3 = 9 (left: 6 9)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n3 * 6 = 18 (left: 12 18)\n"
|
|
],
|
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"values": [
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0.003,
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2.001,
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0.003,
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0.003,
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2.001,
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3.0,
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0.003,
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0.003,
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2.001,
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1.002,
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3.0,
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3.0,
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2.001,
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1.002,
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0.003,
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3.0,
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60.0,
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60.0,
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1.002,
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2.001,
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1.002
|
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],
|
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"select_new_ys": [
|
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"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 10 12 13",
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n3.25 + 12 = 15.25 (left: 15.25)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n12 - 3.25 = 8.75 (left: 8.75)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n3.25 * 12 = 39 (left: 39)\n",
|
|
"10 - 6 = 4 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if considering non-integer results)\n12 / 3.25 \u2248 3.69 (left: 3.69)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n1.67 + 13 = 14.67 (left: 14.67)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n13 - 1.67 = 11.33 (left: 11.33)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n13 / 1.67 \u2248 7.78 (left: 7.78)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (left: 1.67 13)\n1.67 * 13 \u2248 21.71 (left: 21.71)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n10 - 2.17 = 7.83 (left: 7.83)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 * 10 = 21.7 (left: 21.7)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n10 / 2.17 \u2248 4.61 (left: 4.61)\n"
|
|
],
|
|
"values": [
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|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
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0.0,
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0.003,
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60.0,
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0.003,
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0.0,
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0.0,
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0.003,
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0.0,
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0.0,
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0.001,
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0.0,
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0.0,
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1.002,
|
|
0.002,
|
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0.001,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 10 12 13",
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 10)) * 12 = 24\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (12 / (13 - 10)) = 24\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 + 2 = 14.17 (left: 8 8 14.17)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 + 8 = 20.17 (left: 2 8 20.17)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 + 14 = 26.17 (left: 2 8 26.17)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 - 2 = 10.17 (left: 8 8 10.17)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 - 8 = 4.17 (left: 2 4.17 14)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 - 14 = -1.83 (left: 2 8 -1.83)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 * 2 = 24.34 (left: 8 8 24.34)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 * 8 = 97.36 (left: 2 14 97.36)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 * 14 = 170.38 (left: 2 8 170.38)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 / 2 = 6.085 (left: 6.085 8 14)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 / 8 = 1.52125 (left: 2 1.52125 14)\n",
|
|
"12 - 6 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 / 14 = 0.869285714 (left: 2 8 0.869285714)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n2 + 6 = 8 (left: 8 8 8 14)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 + 6 = 14 (left: 2 8 14 14)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8 8)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 8 12 14)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 2 = 7 (left: 6 7 8 8)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 2 = 12 (left: 6 8 8 12)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 + 4 = 6 (left: 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 - 2 = 2 (left: 2 2)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 / 2 = 2 (left: 2 2)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
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0,
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0,
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0,
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0,
|
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0,
|
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0,
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0,
|
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0,
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0,
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0,
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0,
|
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0,
|
|
0.003,
|
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0.002,
|
|
0.002,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 10)) * 12 = 24\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (12 / (13 - 10)) = 24\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 + 4 = 6 (left: 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 - 2 = 2 (left: 2 2)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 / 2 = 2 (left: 2 2)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 944,
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (6 / (13 - 10)) * 12 = 24\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (12 / (13 - 10)) = 24\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 + 4 = 6 (left: 6)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 - 2 = 2 (left: 2 2)\n",
|
|
"13 - 10 = 3 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 / 2 = 2 (left: 2 2)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
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{
|
|
"r": 1
|
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},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 310717,
|
|
"prompt_tokens": 780802,
|
|
"cost": 42.067080000000004
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
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{
|
|
"step": 0,
|
|
"x": "1 3 9 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 4 9 9)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n",
|
|
"3 * 1 = 3 (left: 3 9 9)\n"
|
|
],
|
|
"values": [
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|
3.0,
|
|
3.0,
|
|
22.0,
|
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3.0,
|
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3.0,
|
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3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 3 9 9",
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n1 + 3 = 4 (left: 4 9)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n3 - 1 = 2 (left: 2 9)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 3 = 6 (left: 1 6)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 / 3 = 3 (left: 1 3)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n1 * 3 = 3 (left: 3 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n4 + 9 = 13 (left: 9 13)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 * 4 = 36 (left: 9 36)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n4 * 9 = 36 (left: 9 36)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n2 + 9 = 11 (left: 9 11)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n9 / 2 = 4.5 (left: 4.5 9)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n9 - 2 = 7 (left: 7 9)\n",
|
|
"3 - 1 = 2 (left: 2 9 9)\n2 * 9 = 18 (left: 9 18)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n1 + 6 = 7 (left: 7 9)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n6 - 1 = 5 (left: 5 9)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n9 - 1 = 8 (left: 6 8)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n9 - 6 = 3 (left: 1 3)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n9 / 1 = 9 (left: 6 9)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n9 / 6 = 1.5 (left: 1 1.5)\n",
|
|
"9 - 3 = 6 (left: 1 6 9)\n6 + 1 = 7 (left: 7 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n3 + 8 = 11 (left: 9 11)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 + 3 = 12 (left: 8 12)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n3 * 8 = 24 (left: 9 24)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 - 3 = 5 (left: 5 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 - 8 = 1 (left: 1 3)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 - 3 = 6 (left: 6 8)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
2.001,
|
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0.003,
|
|
2.001,
|
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0.003,
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2.001,
|
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1.002,
|
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3.0,
|
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2.001,
|
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0.003,
|
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2.001,
|
|
0.003,
|
|
60.0,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 3 9 9",
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n8 / 3 = 2.67 (approx.) (left: 2.67)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n2.67 + 9 = 11.67 (left: 11.67)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n9 - 2.67 = 6.33 (left: 6.33)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n9 / 2.67 \u2248 3.37 (left: 3.37)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n8 / 3 \u2248 2.67 (left: 2.67 9)\n2.67 * 9 = 24.03 (left: 24.03)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n9 - 2.25 = 6.75 (left: 6.75)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n9 / 2.25 = 4 (left: 4)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 * 9 = 20.25 (left: 20.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
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0.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 3 9 9",
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 / 3) * (9 - 1) = 24\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (9 / 3) = 24\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 3 14 8)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 14 = 154 (left: 2 8 8 154)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 + 11 = 13 (left: 8 8 14 13)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 - 11 = -3 (left: -3 8 14)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 8 8 14 5.5)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 + 2 = 13.25 (left: 8 8 13.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 + 8 = 19.25 (left: 2 8 19.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 + 14 = 25.25 (left: 2 8 25.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 * 2 = 22.5 (left: 8 8 22.5)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 * 8 = 90 (left: 2 14 90)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 * 14 = 157.5 (left: 2 8 157.5)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 / 2 = 5.625 (left: 8 8 5.625)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 - 2 = 9.25 (left: 8 8 9.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 - 8 = 3.25 (left: 2 14 3.25)\n",
|
|
"1 + 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n2.25 + 9 = 11.25 (left: 11.25)\n11.25 - 14 = -2.75 (left: 2 8 -2.75)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
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0,
|
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0,
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0,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 / 3) * (9 - 1) = 24\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (9 / 3) = 24\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 945,
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 / 3) * (9 - 1) = 24\n",
|
|
"9 - 1 = 8 (left: 3 8 9)\n9 / 3 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (9 / 3) = 24\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 / 3 = 3 (left: 1 3 9)\n9 - 1 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 316545,
|
|
"prompt_tokens": 793597,
|
|
"cost": 42.80061
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 4 4 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 4 = 5 (left: 4 5 11)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n",
|
|
"4 / 1 = 4 (left: 4 4 11)\n",
|
|
"11 / 4 = 2.75 (not an integer, not considered)\n",
|
|
"1 * 4 = 4 (left: 4 4 11)\n"
|
|
],
|
|
"values": [
|
|
41.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 4 4 11",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 + 4 = 8 (left: 8 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 / 4 = 2.5 (left: 2.5 4)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n4 + 5 = 9 (left: 9 11)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n5 - 4 = 1 (left: 1 11)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 4 = 7 (left: 5 7)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n5 * 4 = 20 (left: 11 20)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 / 4 = 2.75 (left: 2.75 5)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n4 / 11 = 0.3636 (left: 0.3636 5)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n1 + 4 = 5 (left: 5 7)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n4 - 1 = 3 (left: 3 7)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 4 = 3 (left: 1 3)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 / 1 = 7 (left: 4 7)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n4 * 1 = 4 (left: 4 7)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n3 + 4 = 7 (left: 7 11)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n4 + 11 = 15 (left: 3 15)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n3 * 4 = 12 (left: 11 12)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 - 3 = 8 (left: 4 8)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 - 4 = 7 (left: 3 7)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 / 3 \u2248 3.67 (left: 3.67 4)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n4 - 3 = 1 (left: 1 11)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n4 + 4 = 8 (left: 8 11)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n4 * 4 = 16 (left: 11 16)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n11 + 4 = 15 (left: 4 15)\n",
|
|
"4 * 1 = 4 (left: 4 4 11)\n11 - 4 = 7 (left: 4 7)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
3.0,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 4 4 11",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 / 6 = 0.67 (left: 0.67)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n10 + 16 = 26 (left: 26)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 * 10 = 160 (left: 160)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n4 + 14 = 18 (left: 18)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n14 - 4 = 10 (left: 10)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n4 * 14 = 56 (left: 56)\n",
|
|
"4 - 1 = 3 (left: 3 4 11)\n11 + 3 = 14 (left: 4 14)\n14 / 4 = 3.5 (left: 3.5)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
2.001,
|
|
3.0,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 4 4 11",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 1 - 4) = 24\n",
|
|
"1 + 4 = 5 (left: 4 5 11)\n11 - 5 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (1 + 4) * (11 - (1 + 4)) = 24\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n10 - 1.6 = 8.4 (left: 8.4)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n10 / 1.6 = 6.25 (left: 6.25)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 * 10 = 16 (left: 16)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 + 10 = 16 (left: 16)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 / 2 = 3 (left: 3 10)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 / 2 = 5 (left: 5 6)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.002,
|
|
60.0,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 1 - 4) = 24\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 / 2 = 3 (left: 3 10)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 946,
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 4 4 10)\n10 - 4 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 1 - 4) = 24\n",
|
|
"11 - 4 = 7 (left: 1 4 7)\n7 - 1 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (11 - 4 - 1) = 24\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"11 - 1 = 10 (left: 4 4 10)\n4 * 4 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 / 2 = 3 (left: 3 10)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 318408,
|
|
"prompt_tokens": 800335,
|
|
"cost": 43.11453
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 9 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n",
|
|
"2 * 3 = 6 (left: 6 9 10)\n",
|
|
"3 * 9 = 27 (left: 2 10 27)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n",
|
|
"2 * 10 = 20 (left: 3 9 20)\n",
|
|
"3 * 10 = 30 (left: 2 9 30)\n",
|
|
"9 - 3 = 6 (left: 2 6 10)\n",
|
|
"10 - 2 = 8 (left: 3 8 9)\n",
|
|
"10 - 3 = 7 (left: 2 7 9)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
41.0,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
41.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 9 10",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n9 - 5 = 4 (left: 4 10)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n10 - 5 = 5 (left: 5 9)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n10 - 9 = 1 (left: 1 5)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 * 9 = 45 (left: 10 45)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n9 / 5 = 1.8 (left: 1.8 10) [if decimals are allowed]\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 / 9 = 0.555 (left: 0.555 10) [if decimals are allowed]\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n10 / 2 = 5 (left: 5 12)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n12 - 2 = 10 (left: 10 10)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 * 10 = 20 (left: 12 20)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n12 / 2 = 6 (left: 6 10)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n10 - 2 = 8 (left: 8 12)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 * 3 = 6 (left: 6 19)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 / 2 = 9.5 (left: 3 9.5)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 - 2 = 17 (left: 3 17)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 - 3 = 16 (left: 2 16)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 * 2 = 6 (left: 6 19)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n3 + 10 = 13 (left: 13 18)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n10 + 18 = 28 (left: 3 28)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n18 + 3 = 21 (left: 10 21)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n3 * 10 = 30 (left: 18 30)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n10 * 18 = 180 (left: 3 180)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n18 * 3 = 54 (left: 10 54)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n10 - 3 = 7 (left: 7 18)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n18 - 10 = 8 (left: 3 8)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n18 / 3 = 6 (left: 6 10)\n",
|
|
"2 * 9 = 18 (left: 3 10 18)\n18 - 3 = 15 (left: 10 15)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n2 + 3 = 5 (left: 5 10)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n3 + 10 = 13 (left: 2 13)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n10 + 2 = 12 (left: 3 12)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n2 * 3 = 6 (left: 6 10)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n10 / 2 = 5 (left: 3 5)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n3 * 10 = 30 (left: 2 30)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n",
|
|
"9 / 3 = 3 (left: 2 3 10)\n10 - 3 = 7 (left: 2 7)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
60.0,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 9 10",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 - 14 = -4 (left: -4)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1 12)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 + 19 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n19 - 5 = 14 (left: 14)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 * 19 = 95 (left: 95)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n19 / 5 = 3.8 (left: 3.8)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 + 22 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n22 - 2 = 20 (left: 20)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n22 / 2 = 11 (left: 11)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 * 22 = 44 (left: 44)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n21 / 3 = 7 (left: 3 7)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n21 - 3 = 18 (left: 3 18)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 * 21 = 63 (left: 63)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 + 19 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 + 22 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 9 10",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 + 19 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 + 22 = 24 (left: 24)\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (2 + 3) + (9 + 10) = 24\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 + 9) + (2 + 10) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 + 19 = 24 (left: 24)\nAnswer: (9 + 10) + (2 + 3) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 + 22 = 24 (left: 24)\nAnswer: (9 + 10) + (3 + 2) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (9 + 10) + (2 + 3) = 24\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (2 + 3) + (9 + 10) = 24\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 + 9) + (2 + 10) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 + 19 = 24 (left: 24)\nAnswer: (9 + 10) + (2 + 3) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 + 22 = 24 (left: 24)\nAnswer: (9 + 10) + (3 + 2) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (9 + 10) + (2 + 3) = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 947,
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 9 10)\n5 + 9 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (2 + 3) + (9 + 10) = 24\n",
|
|
"3 + 9 = 12 (left: 2 10 12)\n2 + 10 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 + 9) + (2 + 10) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n2 + 3 = 5 (left: 5 19)\n5 + 19 = 24 (left: 24)\nAnswer: (9 + 10) + (2 + 3) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n3 + 19 = 22 (left: 2 22)\n2 + 22 = 24 (left: 24)\nAnswer: (9 + 10) + (3 + 2) = 24\n",
|
|
"9 + 10 = 19 (left: 2 3 19)\n19 + 2 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (9 + 10) + (2 + 3) = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 322089,
|
|
"prompt_tokens": 813550,
|
|
"cost": 43.73184
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 2 3 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 3 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n",
|
|
"3 + 13 = 16 (left: 1 2 16)\n",
|
|
"1 * 2 = 2 (left: 2 3 13)\n",
|
|
"1 * 3 = 3 (left: 2 3 13)\n",
|
|
"1 * 13 = 13 (left: 2 3 13)\n",
|
|
"2 * 3 = 6 (left: 1 6 13)\n",
|
|
"2 * 13 = 26 (left: 1 3 26)\n",
|
|
"3 * 13 = 39 (left: 1 2 39)\n",
|
|
"1 - 2 = -1 (left: -1 3 13)\n",
|
|
"1 - 3 = -2 (left: 2 -2 13)\n",
|
|
"1 - 13 = -12 (left: 2 3 -12)\n",
|
|
"2 - 1 = 1 (left: 1 3 13)\n",
|
|
"2 - 3 = -1 (left: 1 -1 13)\n",
|
|
"2 - 13 = -11 (left: 1 3 -11)\n",
|
|
"3 - 1 = 2 (left: 2 2 13)\n",
|
|
"3 - 2 = 1 (left: 1 1 13)\n",
|
|
"3 - 13 = -10 (left: 1 2 -10)\n",
|
|
"13 - 1 = 12 (left: 2 3 12)\n",
|
|
"13 - 2 = 11 (left: 1 3 11)\n",
|
|
"13 - 3 = 10 (left: 1 2 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
2.001,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 2 = 3 (left: 3 3 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 3 13",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 3 3 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 3 13)\n3 + 3 = 6 (left: 6 13)\n",
|
|
"1 + 2 = 3 (left: 3 3 13)\n3 * 3 = 9 (left: 9 13)\n",
|
|
"1 + 2 = 3 (left: 3 3 13)\n13 + 3 = 16 (left: 3 16)\n",
|
|
"1 + 2 = 3 (left: 3 3 13)\n13 - 3 = 10 (left: 3 10)\n",
|
|
"1 + 2 = 3 (left: 3 3 13)\n13 / 3 = 4.333 (left: 3 4.333)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 + 4 = 6 (left: 6 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n4 - 2 = 2 (left: 2 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 - 2 = 11 (left: 4 11)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 - 4 = 9 (left: 2 9)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n4 * 13 = 52 (left: 2 52)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n2 + 3 = 5 (left: 5 14)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 + 14 = 17 (left: 2 17)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 3 = 11 (left: 2 11)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 / 2 = 7 (left: 3 7)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 / 3 = approx. 4.67 (left: 2 approx. 4.67)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n1 + 5 = 6 (left: 6 13)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n5 - 1 = 4 (left: 4 13)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n13 - 5 = 8 (left: 1 8)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n13 / 1 = 13 (left: 5 13)\n",
|
|
"2 + 3 = 5 (left: 1 5 13)\n5 * 1 = 5 (left: 1 13)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n1 + 3 = 4 (left: 4 15)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n3 - 1 = 2 (left: 2 15)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 3 = 12 (left: 1 12)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 / 3 = 5 (left: 1 5)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 / 1 = 15 (left: 3 15)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 3 13",
|
|
"ys": [
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n14 - 6 = 8 (left: 8)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 * 14 = 84 (left: 84)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n14 / 6 = 2.3333 (left: 2.3333)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n14 / 3 = ~4.67 (left: ~4.67)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 * 14 = 42 (left: 42)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n4 + 6.5 = 10.5 (left: 10.5)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n4 * 6.5 = 26 (left: 26)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n6.5 - 4 = 2.5 (left: 2.5)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n13 / 2 = 6.5 (left: 4 6.5)\n4 - 6.5 = -2.5 (left: -2.5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 3 13",
|
|
"ys": [
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n-5 + 13 = 8 (left: 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n13 - (-5) = 18 (left: 18)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n13 + (-5) = 8 (left: 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n5 - 13 = -8 (left: -8)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 2 = 7.5 (left: 7.5 8 8 14)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n2 + 15 = 17 (left: 8 8 14 17)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n8 + 15 = 23 (left: 8 14 23)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n14 + 15 = 29 (left: 8 8 29)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n8 - 15 = -7 (left: -7 8 14)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n14 - 15 = -1 (left: 2 8 -1)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 2 = 38 (left: 8 8 14 38)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 8 = 44 (left: 2 8 14 44)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 14 = 50 (left: 2 8 8 50)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 * 2 = 72 (left: 8 8 14 72)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n8 * 2 = 16 (left: 16 14 20)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n14 + 6 = 20 (left: 2 8 8)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n20 / 2 = 10 (left: 8 10 14)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n20 - 2 = 18 (left: 8 8 18)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n20 - 14 = 6 (left: 2 8 6)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n20 - 8 = 12 (left: 2 8 12)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n20 / 10 = 2 (left: 2 8 14)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n3 * 2 = 6 (left: 6 14)\n6 + 14 = 20 (left: 20)\n20 / 4 = 5 (left: 5 8 14)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"2 + 13 = 15 (left: 1 3 15)\n15 - 1 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5)\n"
|
|
],
|
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"values": [
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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|
0,
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|
0
|
|
],
|
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"select_new_ys": [
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n-5 + 13 = 8 (left: 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n13 - (-5) = 18 (left: 18)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n13 + (-5) = 8 (left: 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n5 - 13 = -8 (left: -8)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 948,
|
|
"ys": [
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n-5 + 13 = 8 (left: 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n13 - (-5) = 18 (left: 18)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n13 + (-5) = 8 (left: 8)\n",
|
|
"1 + 3 = 4 (left: 2 4 13)\n2 * 4 = 8 (left: 8 13)\n8 - 13 = -5 (left: -5 13)\n5 - 13 = -8 (left: -8)\n",
|
|
"1 + 13 = 14 (left: 2 3 14)\n14 - 2 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 329546,
|
|
"prompt_tokens": 828013,
|
|
"cost": 44.61315
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 6 6 6",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 6 = 7 (left: 6 6 7)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 6 = 7 (left: 6 6 7)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 6 6 6",
|
|
"ys": [
|
|
"1 + 6 = 7 (left: 6 6 7)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 + 6 = 11 (left: 6 11)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n6 / 5 = 1.2 (left: 1.2 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 - 6 = 0 (left: 6 0)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 / 6 = 1 (left: 6 1)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 / 6 = 1 (left: 1 6)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 6 6 6",
|
|
"ys": [
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71 7) (approximate value)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 6 6 6",
|
|
"ys": [
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 + 7 = 12 (left: 12)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"1 + 6 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n12 - 7 = 5 (left: 5 7)\n5 * 7 = 35 (left: 35)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 + 2 = 38 (left: 8 8 14 38)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n2 * 36 = 72 (left: 8 8 14 72)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 + 8 = 44 (left: 8 14 44)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 8 = 28 (left: 8 14 28)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 8 = 4.5 (left: 4.5 14 14)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n8 * 36 = 288 (left: 14 14 288)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 + 14 = 50 (left: 8 8 50)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 14 = 22 (left: 8 8 22)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 14 = 2.57 (approx.) (left: 2.57 8 8)\n",
|
|
"6 - 1 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n14 * 36 = 504 (left: 8 8 504)\n"
|
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],
|
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"values": [
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0.002,
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0
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],
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"select_new_ys": [
|
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"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 949,
|
|
"ys": [
|
|
"6 / 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"6 * 1 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"1 * 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1 6)\n"
|
|
],
|
|
"infos": [
|
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{
|
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"r": 0
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},
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{
|
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"r": 0
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},
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{
|
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"r": 0
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},
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{
|
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"r": 0
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},
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{
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"r": 0
|
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}
|
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],
|
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"usage_so_far": {
|
|
"completion_tokens": 332460,
|
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"prompt_tokens": 834415,
|
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"cost": 44.98004999999999
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}
|
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},
|
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{
|
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"steps": [
|
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{
|
|
"step": 0,
|
|
"x": "1 2 2 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n",
|
|
"9 - 2 = 7 (left: 1 2 7)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n",
|
|
"9 / 1 = 9 (left: 2 2 9)\n",
|
|
"9 / 2 = 4.5 (left: 1 2 4.5)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
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3.0,
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3.0,
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3.0,
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1.002,
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3.0,
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3.0,
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2.001
|
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],
|
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"select_new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 2 9",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n3 - 2 = 1 (left: 1 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n9 - 2 = 7 (left: 3 7)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n9 / 3 = 3 (left: 2 3)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n2 - 1 = 1 (left: 1 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 2 = 7 (left: 1 7)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 / 1 = 9 (left: 2 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n2 * 1 = 2 (left: 2 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 * 9 = 9 (left: 2 9)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n2 + 2 = 4 (left: 4 9)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n9 + 2 = 11 (left: 2 11)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n2 * 2 = 4 (left: 4 9)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n9 - 2 = 7 (left: 2 7)\n",
|
|
"2 * 1 = 2 (left: 2 2 9)\n9 / 2 = 4.5 (left: 2 4.5)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n2 + 2 = 4 (left: 4 8)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n2 * 2 = 4 (left: 4 8)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n8 - 2 = 6 (left: 2 6)\n",
|
|
"9 - 1 = 8 (left: 2 2 8)\n8 / 2 = 4 (left: 2 4)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n9 / 1 = 9 (left: 4 9)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
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0.003,
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0.003,
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0.003,
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0.003,
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2.001,
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1.002,
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0.003,
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1.002,
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0.003,
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0.003,
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0.003,
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0.003,
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1.002,
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0.003,
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1.002,
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0.003,
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0.003,
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1.002,
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1.002,
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0.003,
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0.003,
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2.001,
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1.002,
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|
1.002,
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|
0.003,
|
|
1.002,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 2 9",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n6 / 9 = 0.67 (rounded) (left: 0.67 9)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"2 * 2 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n3 + 9 = 12 (left: 12)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n9 - 3 = 6 (left: 6)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n3 * 9 = 27 (left: 27)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n1 + 2 = 3 (left: 3 9)\n9 / 3 = 3 (left: 3)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"2 - 1 = 1 (left: 1 2 9)\n9 - 1 = 8 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
],
|
|
"values": [
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0.002,
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0.003,
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0.003,
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0.003,
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0.003,
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1.002,
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0,
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2.001,
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0.002,
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0.002,
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0.002,
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0.003,
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0.0,
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0.002,
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0.003,
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0.003,
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0,
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0.0,
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0.003,
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0.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 2 9",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n4 + 5 = 9 (left: 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n5 - 4 = 1 (left: 1)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n4 / 5 = 0.8 (left: 0.8)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 2 = 47 (left: 8 8 14 47)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 2 = 43 (left: 8 8 14 43)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 2 = 22.5 (left: 8 8 14 22.5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 * 2 = 90 (left: 8 8 14 90)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n2 + 45 = 47 (left: 8 8 14 47)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n2 - 45 = -43 (left: 8 8 14 -43)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n2 * 45 = 90 (left: 8 8 14 90)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n2 / 45 = 0.044 (left: 8 8 14 0.044)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n1.8 + 5 = 6.8 (left: 6.8)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n5 - 1.8 = 3.2 (left: 3.2)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n1.8 * 5 = 9 (left: 9)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n5 / 1.8 \u2248 2.78 (left: 2.78)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
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"select_new_ys": [
|
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"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
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"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n5 - 4 = 1 (left: 1)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 950,
|
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"ys": [
|
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"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n4 * 5 = 20 (left: 20)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"1 + 2 = 3 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n5 - 4 = 1 (left: 1)\n"
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"infos": [
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{
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{
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{
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{
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{
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"r": 0
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}
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],
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"usage_so_far": {
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|
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"cost": 45.36609
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}
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},
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{
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"steps": [
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{
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"x": "1 3 6 11",
|
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"ys": [
|
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""
|
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],
|
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"new_ys": [
|
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"1 + 3 = 4 (left: 4 6 11)\n",
|
|
"3 + 6 = 9 (left: 1 9 11)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n",
|
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"11 - 1 = 10 (left: 3 6 10)\n",
|
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"11 - 3 = 8 (left: 1 6 8)\n",
|
|
"11 - 6 = 5 (left: 1 3 5)\n",
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"6 / 3 = 2 (left: 1 2 11)\n",
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"11 / 1 = 11 (left: 3 6 11)\n"
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3.0,
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2.001,
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3.0,
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3.0
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"select_new_ys": [
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"1 + 3 = 4 (left: 4 6 11)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n"
|
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]
|
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},
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{
|
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"step": 1,
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"x": "1 3 6 11",
|
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"ys": [
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"1 + 3 = 4 (left: 4 6 11)\n",
|
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"6 + 11 = 17 (left: 1 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n"
|
|
],
|
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"new_ys": [
|
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"1 + 3 = 4 (left: 4 6 11)\n4 + 6 = 10 (left: 10 11)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n6 - 4 = 2 (left: 2 11)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 - 4 = 7 (left: 6 7)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 - 6 = 5 (left: 4 5)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n4 * 6 = 24 (left: 11 24)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 6 = 1.8333 (left: 4 1.8333)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n1 + 3 = 4 (left: 4 17)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n3 - 1 = 2 (left: 2 17)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n17 - 1 = 16 (left: 3 16)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n17 - 3 = 14 (left: 1 14)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n17 / 1 = 17 (left: 3 17)\n",
|
|
"6 + 11 = 17 (left: 1 3 17)\n3 * 1 = 3 (left: 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n3 + 6 = 9 (left: 9 11)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n6 - 3 = 3 (left: 3 11)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n3 * 6 = 18 (left: 11 18)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n6 / 3 = 2 (left: 2 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n1 + 11 = 12 (left: 12 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n11 - 1 = 10 (left: 10 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 1 = 17 (left: 11 17)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n11 * 1 = 11 (left: 11 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 / 1 = 18 (left: 11 18)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n3 + 6 = 9 (left: 9 10)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 - 3 = 3 (left: 3 10)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n3 * 6 = 18 (left: 10 18)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n10 / 3 = 3.33 (left: 3.33 6) (not a whole number, so not valid)\n"
|
|
],
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"values": [
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0.003,
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0.003,
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1.002,
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0.003,
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0.003,
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3.0,
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2.001,
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0.003,
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1.002,
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0.003,
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0.003,
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0.003,
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0.003,
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0.003,
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1.002,
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0.003,
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2.001,
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0.003,
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0.003,
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0.003,
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1.002,
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0.003,
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3.0,
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0.003,
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0.003,
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0.003,
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1.002,
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1.002,
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1.002,
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0.003,
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0.003,
|
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2.001,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n"
|
|
]
|
|
},
|
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{
|
|
"step": 2,
|
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"x": "1 3 6 11",
|
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"ys": [
|
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"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n"
|
|
],
|
|
"new_ys": [
|
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"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n11 - 1.5 = 9.5 (left: 9.5)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n11 / 1.5 \u2248 7.33 (left: 7.33)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 7 = 11 (left: 1 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 * 1 = 7 (left: 1 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n2.75 + 6 = 8.75 (left: 8.75)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n6 - 2.75 = 3.25 (left: 3.25)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n2.75 * 6 = 16.5 (left: 16.5)\n",
|
|
"1 + 3 = 4 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n6 / 2.75 \u2248 2.18 (left: 2.18)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"1 * 3 = 3 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n8 / 6 = 1.33 (left: 1.33 6)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"11 - 1 = 10 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
],
|
|
"values": [
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|
0.002,
|
|
0,
|
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0,
|
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0.002,
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2.001,
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60.0,
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60.0,
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0.003,
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2.001,
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1.002,
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2.001,
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0.0,
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0.001,
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0.002,
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0.003,
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0.002,
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1.002,
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0.002,
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0.003,
|
|
0.002,
|
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0,
|
|
0.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 3 6 11",
|
|
"ys": [
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n18 - 6 = 12 (left: 12)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n18 / 6 = 3 (left: 3)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n6 * 18 = 108 (left: 108)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n7 + 17 = 24 (left: 24)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n17 - 7 = 10 (left: 10)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n7 * 17 = 119 (left: 119)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n8 + 18 = 26 (left: 26)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n18 - 8 = 10 (left: 10 8)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n8 * 18 = 144 (left: 144)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n18 / 8 = 2.25 (left: 2.25 8)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n7 + 18 = 25 (left: 25)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n18 - 7 = 11 (left: 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n18 / 7 = 2.57 (not a whole number, so not considered)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n7 * 18 = 126 (left: 126)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n7 + 18 = 25 (left: 25)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n18 - 7 = 11 (left: 11)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n18 / 7 = 2.57 (left: 2.57)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 * 7 = 7 (left: 7 18)\n7 * 18 = 126 (left: 126)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
60.0,
|
|
0.0,
|
|
1.002,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n7 + 17 = 24 (left: 24)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n7 * 17 = 119 (left: 119)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n8 * 18 = 144 (left: 144)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n18 - 7 = 11 (left: 11)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 951,
|
|
"ys": [
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n7 - 1 = 6 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n7 + 17 = 24 (left: 24)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 - 1 = 17 (left: 7 17)\n7 * 17 = 119 (left: 119)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n1 + 7 = 8 (left: 8 18)\n8 * 18 = 144 (left: 144)\n",
|
|
"3 * 6 = 18 (left: 1 11 18)\n18 - 11 = 7 (left: 1 7 18)\n18 / 1 = 18 (left: 7 18)\n18 - 7 = 11 (left: 11)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
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},
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{
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"r": 0
|
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},
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{
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"r": 0
|
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},
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{
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"r": 0
|
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},
|
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{
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"r": 0
|
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}
|
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],
|
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"usage_so_far": {
|
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"completion_tokens": 339481,
|
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"prompt_tokens": 851193,
|
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"cost": 45.90465
|
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}
|
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},
|
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{
|
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"steps": [
|
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{
|
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"step": 0,
|
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"x": "5 10 12 13",
|
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"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n",
|
|
"5 * 10 = 50 (left: 12 13 50)\n",
|
|
"13 + 5 = 18 (left: 10 12 18)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n",
|
|
"12 + 5 = 17 (left: 10 13 17)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n",
|
|
"13 / 5 = 2.6 (left: 2.6 10 12)\n"
|
|
],
|
|
"values": [
|
|
20.002,
|
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3.0,
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3.0,
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0.003,
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2.001,
|
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3.0,
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0.003,
|
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3.0,
|
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3.0
|
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],
|
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"select_new_ys": [
|
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"5 + 10 = 15 (left: 12 13 15)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 10 12 13",
|
|
"ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n12 + 13 = 25 (left: 15 25)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n13 - 12 = 1 (left: 1 15)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 12 = 3 (left: 3 13)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n12 * 13 = 156 (left: 15 156)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 / 3 = 5 (left: 5 13)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n5 + 12 = 17 (left: 13 17)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n12 - 5 = 7 (left: 7 13)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n13 - 12 = 1 (left: 1 5)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n5 * 12 = 60 (left: 13 60)\n",
|
|
"10 - 5 = 5 (left: 5 12 13)\n12 * 13 = 156 (left: 5 156)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n8 + 10 = 18 (left: 12 18)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 + 12 = 22 (left: 8 22)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n8 * 10 = 80 (left: 12 80)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 * 8 = 96 (left: 10 96)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 * 12 = 120 (left: 8 120)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 10 = 2 (left: 2 8)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n8 / 2 = 4 (left: 4 12)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 / 2 = 5 (left: 5 8)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 / 2 = 6 (left: 6 10)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n7 + 10 = 17 (left: 13 17)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n10 + 13 = 23 (left: 7 23)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n13 - 7 = 6 (left: 6 10)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n13 / 7 = ~1.86 (not a whole number, so not applicable)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n10 - 7 = 3 (left: 3 13)\n",
|
|
"12 - 5 = 7 (left: 7 10 13)\n10 / 7 = ~1.43 (not a whole number, so not applicable)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n10 - 2.4 = 7.6 (left: 7.6 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 10 = 3 (left: 2.4 3)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n10 / 2.4 \u2248 4.17 (left: 4.17 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 / 10 = 1.3 (left: 1.3 2.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 / 2.4 \u2248 5.42 (left: 5.42 10)\n"
|
|
],
|
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"values": [
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0.003,
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0.003,
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2.001,
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60.0,
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0.003,
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1.002,
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0.003,
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1.002,
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2.001,
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0.003,
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0.003,
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0.003,
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1.002,
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0.003,
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0.003,
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0.003,
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0.003,
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60.0,
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3.0,
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1.002,
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0.003,
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0.003,
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2.001,
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0.003,
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0.003,
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2.001,
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0.003,
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2.001,
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0.003,
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3.0,
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2.001,
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0.003,
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3.0,
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3.0,
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0.003,
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3.0
|
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],
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"select_new_ys": [
|
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"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
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"x": "5 10 12 13",
|
|
"ys": [
|
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"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n12 - 8 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n12.4 + 13 = 25.4 (left: 25.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n12.4 - 13 = -0.6 (left: -0.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n13 - 12.4 = 0.6 (left: 0.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n12.4 * 13 = 161.2 (left: 161.2)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n12.4 / 13 \u2248 0.9538 (left: 0.9538)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n2.4 + 10 = 12.4 (left: 12.4 13)\n13 / 12.4 \u2248 1.0484 (left: 1.0484)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10 + 10.6 = 20.6 (left: 20.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10 * 10.6 = 106 (left: 106)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 / 10 = 1.06 (left: 1.06 10)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
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0.002,
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.002,
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0.003,
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0.003,
|
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0.001,
|
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0.001,
|
|
0.0,
|
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0.002,
|
|
0.0,
|
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0.002,
|
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0.0,
|
|
0.001,
|
|
1.002,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 10 12 13",
|
|
"ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (5 + 10 - 13) * 12 = 24\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 5) * (10 - 8) = 24\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n0.6 + 10 = 10.6 (left: 10.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n10 - 0.6 = 9.4 (left: 9.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n10 / 0.6 = 16.6667 (approximately, left: 16.6667)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n0.6 * 10 = 6 (left: 6)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16 14)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 10 14 14)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 + 6 = 20 (left: 8 10 20)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 8 = 48 (left: 10 14 48)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 - 6 = 2 (left: 2 10 14)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 8 10 8)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 6 = 2.33 (left: 2.33 8 8)\n",
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 8 8 10)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n2 + 6 = 8 (left: 8 8 8 14)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 + 6 = 14 (left: 2 8 8 14)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 + 6 = 20 (left: 2 8 8 20)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 8 12 14)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 8 = 48 (left: 2 8 14 48)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 - 6 = 2 (left: 2 2 8 14)\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (5 + 10 - 13) * 12 = 24\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 5) * (10 - 8) = 24\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n0.6 * 10 = 6 (left: 6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n0.6 + 10 = 10.6 (left: 10.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n10 - 0.6 = 9.4 (left: 9.4)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 952,
|
|
"ys": [
|
|
"5 + 10 = 15 (left: 12 13 15)\n15 - 13 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (5 + 10 - 13) * 12 = 24\n",
|
|
"13 - 5 = 8 (left: 8 10 12)\n10 - 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (13 - 5) * (10 - 8) = 24\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n0.6 * 10 = 6 (left: 6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n0.6 + 10 = 10.6 (left: 10.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 10 13)\n13 - 2.4 = 10.6 (left: 10 10.6)\n10.6 - 10 = 0.6 (left: 0.6 10)\n10 - 0.6 = 9.4 (left: 9.4)\n"
|
|
],
|
|
"infos": [
|
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{
|
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"r": 1
|
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},
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{
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"r": 0
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},
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{
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"r": 0
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},
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{
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"r": 0
|
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},
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{
|
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"r": 0
|
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}
|
|
],
|
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"usage_so_far": {
|
|
"completion_tokens": 346666,
|
|
"prompt_tokens": 870085,
|
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"cost": 46.90251
|
|
}
|
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},
|
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{
|
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"steps": [
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{
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"step": 0,
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"x": "2 3 6 6",
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|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n",
|
|
"6 - 2 = 4 (left: 3 4 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 6 6",
|
|
"ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n6 - 2 = 4 (left: 2 4)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n6 / 2 = 3 (left: 2 3)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 + 6 = 11 (left: 6 11)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 / 5 = 1.2 (left: 1.2 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 - 6 = 0 (left: 6 0)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n3 + 3 = 6 (left: 6 6)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n3 * 3 = 9 (left: 6 9)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n6 - 3 = 3 (left: 3 3)\n",
|
|
"6 / 2 = 3 (left: 3 3 6)\n6 / 3 = 2 (left: 2 3)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n2 + 3 = 5 (left: 3 5)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n3 - 2 = 1 (left: 1 3)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n3 / 2 = 1.5 (left: 1.5 3)\n",
|
|
"6 - 3 = 3 (left: 2 3 3)\n2 * 3 = 6 (left: 3 6)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
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0.003,
|
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0.003,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
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60.0,
|
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3.0,
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|
0.003,
|
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1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
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0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 6 6",
|
|
"ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 6 6",
|
|
"ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 / 3 * (2 + 2) = 24\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (6 / 3 * 2) = 24\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 8 = 4.5 (left: 2 4.5 14 8)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 14 = 2.57 (left: 2 2.57 8 8)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 + 6 = 11 (left: 11)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 * 6 = 30 (left: 30)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n6 - 5 = 1 (left: 1)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (6 / 3 * 2) = 24\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 / 3 * (2 + 2) = 24\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 + 6 = 11 (left: 11)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 953,
|
|
"ys": [
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 * 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 * (6 / 3 * 2) = 24\n",
|
|
"6 / 3 = 2 (left: 2 2 6)\n2 + 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 6 / 3 * (2 + 2) = 24\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"2 + 3 = 5 (left: 5 6 6)\n6 * 5 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n5 + 6 = 11 (left: 11)\n",
|
|
"3 * 2 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 348619,
|
|
"prompt_tokens": 875898,
|
|
"cost": 47.19408
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 7 10 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 7 = 13 (left: 10 12 13)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n",
|
|
"10 - 7 = 3 (left: 3 6 12)\n",
|
|
"12 - 7 = 5 (left: 5 6 10)\n",
|
|
"6 * 7 = 42 (left: 10 12 42)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n",
|
|
"12 / 6 = 2 (left: 2 7 10)\n",
|
|
"7 * 10 = 70 (left: 6 12 70)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
40.001
|
|
],
|
|
"select_new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 7 10 12",
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n12 - 7 = 5 (left: 5 5)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n12 - 5 = 7 (left: 5 7)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 * 7 = 35 (left: 12 35)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 / 5 = 1.4 (left: 1.4 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n12 / 7 = 1.714 (left: 1.714 5)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n12 / 5 = 2.4 (left: 2.4 7)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n7 + 10 = 17 (left: 17 72)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 + 72 = 82 (left: 7 82)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 - 10 = 62 (left: 7 62)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 10 = 7.2 (left: 7 7.2)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n7 * 10 = 70 (left: 70 72)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n1 + 10 = 11 (left: 11 12)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n10 - 1 = 9 (left: 9 12)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n12 - 1 = 11 (left: 10 11)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n12 - 10 = 2 (left: 1 2)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n12 / 10 = 1.2 (left: 1 1.2)\n",
|
|
"7 - 6 = 1 (left: 1 10 12)\n10 / 1 = 10 (left: 10 12)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n4 + 7 = 11 (left: 11 12)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n12 - 7 = 5 (left: 4 5)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n4 * 7 = 28 (left: 12 28)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n12 / 4 = 3 (left: 3 7)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n12 - 4 = 8 (left: 7 8)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n6 + 7 = 13 (left: 10 13)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n7 - 6 = 1 (left: 1 10)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n10 - 6 = 4 (left: 4 7)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n10 - 7 = 3 (left: 3 6)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n6 * 7 = 42 (left: 10 42)\n",
|
|
"12 - 6 = 6 (left: 6 7 10)\n10 / 2 = 5 (left: 5 7)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 7 10 12",
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n3 + 72 = 75 (left: 75)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 / 3 = 24 (left: 24)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n3 * 72 = 216 (left: 216)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 - 3 = 69 (left: 69)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"10 - 6 = 4 (left: 4 7 12)\n7 - 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n10 + 10.2857 = 20.2857 (left: 20.2857)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n10.2857 - 10 = 0.2857 (left: 0.2857 10)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n10 * 10.2857 = 102.857 (left: 102.857)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n72 / 7 = 10.2857 (left: 10 10.2857)\n10 / 10.2857 \u2248 0.9723 (left: 0.9723 10.2857)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
0.003,
|
|
0.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 / 3 = 24 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 7 10 12",
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 / 3 = 24 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (10 / 2 + 7) + 12 = 24\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - (10 / 2)) * 12 = 24\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 * 6) / (10 - 7) = 24\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 + 12 = 12 (left: 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n12 - 0 = 12 (left: 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n12 * 0 = 0 (left: 0)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n0 / 12 = 0 (left: 0) (note: division by 0 is undefined, so this operation is not valid)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n12 * 12 = 144 (left: 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 1 = 144 (left: 1)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 0 = 144 (left: 0)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 0 = 144 (left: 0)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n18 * 8 = 144 (left: 18)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 2 = 72 (left: 2)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 1 = 143 (left: 1)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 1 = 145 (left: 1)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n24 * 6 = 144 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 3 = 48 (left: 3)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 2 = 142 (left: 2)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 2 = 146 (left: 2)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n36 * 4 = 144 (left: 36)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 4 = 36 (left: 4)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 3 = 141 (left: 3)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 3 = 147 (left: 3)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n48 * 3 = 144 (left: 48)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 6 = 24 (left: 6)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 4 = 140 (left: 4)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 4 = 148 (left: 4)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n72 * 2 = 144 (left: 72)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 8 = 18 (left: 8)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 5 = 139 (left: 5)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 5 = 149 (left: 5)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 9 = 16 (left: 9)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 6 = 138 (left: 6)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 6 = 150 (left: 6)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 12 = 12 (left: 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 7 = 137 (left: 7)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 7 = 151 (left: 7)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 16 = 9 (left: 16)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 8 = 136 (left: 8)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 8 = 152 (left: 8)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 18 = 8 (left: 18)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 9 = 135 (left: 9)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 9 = 153 (left: 9)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 24 = 6 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 10 = 134 (left: 10)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 10 = 154 (left: 10)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 36 = 4 (left: 36)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 11 = 133 (left: 11)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 11 = 155 (left: 11)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 48 = 3 (left: 48)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 - 12 = 132 (left: 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 + 12 = 156 (left: 12)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 72 = 2 (left: 72)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
60.0,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.0,
|
|
0.0,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - (10 / 2)) * 12 = 24\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 * 6) / (10 - 7) = 24\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n24 * 6 = 144 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 24 = 6 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (10 / 2 + 7) + 12 = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 954,
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 5 7 12)\n7 - 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (7 - (10 / 2)) * 12 = 24\n",
|
|
"12 * 6 = 72 (left: 7 10 72)\n10 - 7 = 3 (left: 3 72)\n72 / 3 = 24 (left: 24)\nAnswer: (12 * 6) / (10 - 7) = 24\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n24 * 6 = 144 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n144 / 24 = 6 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 5 7 12)\n5 + 7 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (10 / 2 + 7) + 12 = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 354194,
|
|
"prompt_tokens": 890377,
|
|
"cost": 47.96295
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "7 8 8 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"7 + 8 = 15 (left: 8 8 15)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n",
|
|
"12 + 7 = 19 (left: 8 8 19)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n",
|
|
"8 * 7 = 56 (left: 8 12 56)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
41.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "7 8 8 12",
|
|
"ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n5 + 8 = 13 (left: 8 13)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n5 * 8 = 40 (left: 8 40)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n4 + 7 = 11 (left: 8 11)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n4 / 7 (not a whole number)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 / 4 (not a whole number)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n8 / 4 = 2 (left: 2 7)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n8 / 7 (not a whole number)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n12 - 8 = 4 (left: 1.14 4)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n12 / 1.14 \u2248 10.53 (left: 8 10.53)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 * 8 \u2248 9.12 (left: 9.12 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n12 - 1.14 = 10.86 (left: 8 10.86)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n1.71 + 8 = 9.71 (left: 8 9.71)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n8 - 1.71 = 6.29 (left: 6.29 8)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n8 / 1.71 \u2248 4.68 (left: 4.68 8)\n",
|
|
"12 / 7 = 1.71 (left: 1.71 8 8)\n1.71 * 8 \u2248 13.68 (left: 8 13.68)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n1 + 8 = 9 (left: 9 12)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n8 - 1 = 7 (left: 7 12)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n12 - 8 = 4 (left: 1 4)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n12 / 1 = 12 (left: 8 12)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n12 - 1 = 11 (left: 8 11)\n",
|
|
"8 - 7 = 1 (left: 1 8 12)\n8 / 1 = 8 (left: 8 12)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "7 8 8 12",
|
|
"ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n8 / 3 (left: 2.67)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n1.6 + 8 = 9.6 (left: 9.6)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n8 - 1.6 = 6.4 (left: 6.4)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n8 / 1.6 = 5 (left: 5)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n1.6 * 8 = 12.8 (left: 12.8)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n9.14 + 12 = 21.14 (left: 21.14)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n9.14 * 12 = 109.68 (left: 109.68)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 / 9.14 \u2248 1.313 (left: 1.313 9.14)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n6.86 + 12 = 18.86 (left: 18.86)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n12 - 6.86 = 5.14 (left: 5.14)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n6.86 * 12 = 82.32 (left: 82.32)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n8 - 1.14 = 6.86 (left: 6.86 12)\n12 / 6.86 \u2248 1.75 (left: 1.75)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
3.0,
|
|
0.001,
|
|
0.003,
|
|
0.0,
|
|
0.001,
|
|
0.0,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "7 8 8 12",
|
|
"ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 - (12 - 7)) = 24\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (7 - (12 - 8)) = 24\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n2.86 + 9.14 = 12 (left: 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n9.14 - 2.86 = 6.28 (left: 6.28)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n9.14 / 2.86 = 3.196 (left: 3.196)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n2.86 * 9.14 = 26.1204 (left: 26.1204)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 - 11 = -9 (left: 8 8 14 -9)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 - 11 = -3 (left: 2 8 14 -3)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 8 8 14 5.5)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 8 8 14 5.5)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 14 19)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 14 3)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 8 = 1.375 (left: 2 14 1.375)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 25)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 -3)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 14 = 154 (left: 2 8 154)\n",
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 14 = 0.7857 (left: 2 8 0.7857)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (7 - (12 - 8)) = 24\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 - (12 - 7)) = 24\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n2.86 + 9.14 = 12 (left: 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n9.14 - 2.86 = 6.28 (left: 6.28)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n9.14 / 2.86 = 3.196 (left: 3.196)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 955,
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (7 - (12 - 8)) = 24\n",
|
|
"12 - 7 = 5 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 - (12 - 7)) = 24\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n2.86 + 9.14 = 12 (left: 12)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n9.14 - 2.86 = 6.28 (left: 6.28)\n",
|
|
"8 / 7 = 1.14 (left: 1.14 8 12)\n1.14 + 8 = 9.14 (left: 9.14 12)\n12 - 9.14 = 2.86 (left: 2.86 9.14)\n9.14 / 2.86 = 3.196 (left: 3.196)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 360583,
|
|
"prompt_tokens": 907724,
|
|
"cost": 48.8667
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 4 6 8",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 6 7 8)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n",
|
|
"6 - 4 = 2 (left: 2 3 8)\n",
|
|
"6 + 3 = 9 (left: 4 8 9)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n",
|
|
"6 / 3 = 2 (left: 2 4 8)\n",
|
|
"8 - 3 = 5 (left: 4 5 6)\n",
|
|
"8 - 4 = 4 (left: 4 6 6)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n",
|
|
"8 / 4 = 2 (left: 2 3 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
41.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
41.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 4 6 8",
|
|
"ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n6 + 8 = 14 (left: 12 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 / 6 = 2 (left: 2 8)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n6 * 8 = 48 (left: 12 48)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 * 12 = 96 (left: 6 96)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n2 + 3 = 5 (left: 4 5)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 + 4 = 7 (left: 2 7)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n4 + 2 = 6 (left: 3 6)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n4 - 2 = 2 (left: 2 3)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n4 / 2 = 2 (left: 2 3)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 - 2 = 1 (left: 1 4)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n7 - 6 = 1 (left: 1 8)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 * 7 = 42 (left: 8 42)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n8 - 6 = 2 (left: 2 7)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n1 + 6 = 7 (left: 7 8)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n6 - 1 = 5 (left: 5 8)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n8 - 1 = 7 (left: 6 7)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n",
|
|
"4 - 3 = 1 (left: 1 6 8)\n8 / 1 = 8 (left: 6 8)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n3 + 4 = 7 (left: 7 8)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n4 - 3 = 1 (left: 1 8)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n8 / 4 = 2 (left: 2 3)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n3 * 4 = 12 (left: 8 12)\n",
|
|
"6 - 3 = 3 (left: 3 4 8)\n4 * 8 = 32 (left: 3 32)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
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0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
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0.003,
|
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0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
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0.003,
|
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0.003,
|
|
0.003,
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|
0.003,
|
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2.001,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
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0.003,
|
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0.003,
|
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0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 4 6 8",
|
|
"ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 / 6 = 1.33 (left: 1.33 6)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"3 + 4 = 7 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 4 6 8",
|
|
"ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 3) * (8 - 6) = 24\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 3) * (12 - 8) = 24\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (3 * (8 - 6)) = 24\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 14 22)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 - 6 = 10 (left: 8 10 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 8 = 48 (left: 14 16 48)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 14 = 84 (left: 8 16 84)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 - 8 = -2 (left: -2 14 16)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 - 14 = -8 (left: -8 8 16)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 2 14 14)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 3) * (8 - 6) = 24\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (3 * (8 - 6)) = 24\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 3) * (12 - 8) = 24\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 956,
|
|
"ys": [
|
|
"4 * 3 = 12 (left: 6 8 12)\n8 - 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 3) * (8 - 6) = 24\n",
|
|
"8 - 6 = 2 (left: 2 3 4)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (3 * (8 - 6)) = 24\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 8 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (4 * 3) * (12 - 8) = 24\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"4 * 3 = 12 (left: 6 8 12)\n12 - 6 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 363204,
|
|
"prompt_tokens": 915248,
|
|
"cost": 49.24968
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 7 9 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 7 = 8 (left: 8 9 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n",
|
|
"11 - 9 = 2 (left: 1 2 7)\n",
|
|
"11 / 1 = 11 (left: 7 9 11)\n",
|
|
"9 / 1 = 9 (left: 7 9 11)\n",
|
|
"7 / 1 = 7 (left: 7 9 11)\n",
|
|
"9 - 7 = 2 (left: 1 2 11)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 7 = 8 (left: 8 9 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 7 9 11",
|
|
"ys": [
|
|
"1 + 7 = 8 (left: 8 9 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 7 = 8 (left: 8 9 11)\n8 + 9 = 17 (left: 11 17)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n9 - 8 = 1 (left: 1 11)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 - 8 = 3 (left: 3 9)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 - 9 = 2 (left: 2 8)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 8 = 19 (left: 9 19)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n6 + 9 = 15 (left: 11 15)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 - 6 = 3 (left: 3 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 9 = 2 (left: 2 6)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n6 * 9 = 54 (left: 11 54)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n9 - 7 = 2 (left: 2 10)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n10 - 7 = 3 (left: 3 9)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n10 - 9 = 1 (left: 1 7)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 * 9 = 63 (left: 10 63)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n10 / 7 = 1.43 (left: 1.43 9) (if only considering integer operations, ignore this step)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n9 / 7 = 1.29 (left: 1.29 10) (if only considering integer operations, ignore this step)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n8 - 7 = 1 (left: 1 11)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n11 / 7 \u2248 1.57 (left: 1.57 8)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n8 / 7 \u2248 1.14 (left: 1.14 11)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n7 * 8 = 56 (left: 11 56)\n",
|
|
"9 - 1 = 8 (left: 7 8 11)\n8 * 11 = 88 (left: 7 88)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n9 / 1 = 9 (left: 4 9)\n",
|
|
"11 - 7 = 4 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 7 9 11",
|
|
"ys": [
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n11 - 1.5 = 9.5 (left: 9.5)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n9 / 6 = 1.5 (left: 1.5 11)\n11 / 1.5 \u2248 7.33 (left: 7.33)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n1.8333 + 9 = 10.8333 (left: 10.8333)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n1.8333 * 9 = 16.5 (left: 16.5)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n9 - 1.8333 = 7.1667 (left: 7.1667)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 / 6 = 1.8333 (left: 1.8333 9)\n9 / 1.8333 \u2248 4.9091 (left: 4.9091)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n10 + 16 = 26 (left: 26)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n10 * 16 = 160 (left: 160)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n8 + 20 = 28 (left: 28)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 * 8 = 160 (left: 160)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.001,
|
|
0.002,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
2.001,
|
|
0.002,
|
|
3.0,
|
|
0.002,
|
|
0.003,
|
|
2.001,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 7 9 11",
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n"
|
|
],
|
|
"new_ys": [
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n10 - 1.6 = 8.4 (left: 8.4)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 * 10 = 16 (left: 16)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n10 / 1.6 = 6.25 (left: 6.25)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 + 10 = 16 (left: 16)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 / 6 = 1.67 (left: 1.67 6) (not an integer result)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 - 10 = -4 (left: -4 10) (not a positive result)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 + 8 = 10.5 (left: 10.5)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n8 - 2.5 = 5.5 (left: 5.5)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n8 / 2.5 = 3.2 (left: 3.2)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 * 8 = 20 (left: 20)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n12 + 8 = 20 (left: 20)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n12 - 8 = 4 (left: 4)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n8 - 12 = -4 (left: -4)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n12 / 8 = 1.5 (left: 1.5)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 12 8)\n8 / 12 = 0.6667 (left: 0.6667)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 2 = 47 (left: 8 8 14 47)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 8 = 53 (left: 2 8 14 53)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 + 14 = 59 (left: 2 8 8 59)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 * 2 = 90 (left: 8 8 14 90)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 2 = 22.5 (left: 8 8 14 22.5)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 2 = 43 (left: 8 8 14 43)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 8 = 37 (left: 2 8 14 37)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 - 14 = 31 (left: 2 8 8 31)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 8 = 5.625 (left: 2 5.625 8 14)\n",
|
|
"7 - 1 = 6 (left: 6 9 11)\n11 - 6 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n45 / 14 = 3.214 (left: 2 3.214 8 8)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
1.002,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 + 8 = 10.5 (left: 10.5)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 * 8 = 20 (left: 20)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 957,
|
|
"ys": [
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 / 10 = 1.6 (left: 1.6 10)\n1.6 + 10 = 11.6 (left: 11.6)\n",
|
|
"11 - 1 = 10 (left: 7 9 10)\n7 + 9 = 16 (left: 10 16)\n16 - 10 = 6 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 + 8 = 10.5 (left: 10.5)\n",
|
|
"1 + 7 = 8 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 * 8 = 20 (left: 20)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 367763,
|
|
"prompt_tokens": 924963,
|
|
"cost": 49.81466999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 6 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n",
|
|
"13 / 2 = 6.5 (not a whole number, not valid)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n",
|
|
"6 - 3 = 3 (left: 2 3 13)\n",
|
|
"6 / 2 = 3 (left: 3 3 13)\n",
|
|
"6 / 3 = 2 (left: 2 2 13)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 6 13",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 * 6 = 30 (left: 13 30)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 / 5 = 2.6 (left: 2.6 6 13) (if only integer operations are allowed, ignore this step)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 / 6 = 2.1667 (left: 2.1667 5 13) (if only integer operations are allowed, ignore this step)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n6 + 6 = 12 (left: 12 13)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n6 * 6 = 36 (left: 13 36)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n13 - 6 = 7 (left: 6 7)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n13 / 6 = ~2.17 (not a valid operation since it doesn't result in a whole number)\n",
|
|
"3 * 2 = 6 (left: 6 6 13)\n13 + 6 = 19 (left: 6 19)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n3 + 6 = 9 (left: 9 11)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n6 - 3 = 3 (left: 3 11)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n11 - 3 = 8 (left: 6 8)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n11 - 6 = 5 (left: 3 5)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n3 * 6 = 18 (left: 11 18)\n",
|
|
"13 - 2 = 11 (left: 3 6 11)\n6 / 3 = 2 (left: 2 11)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n2 + 6 = 8 (left: 8 10)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n6 / 2 = 3 (left: 3 10)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n10 - 2 = 8 (left: 6 8)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n2 * 6 = 12 (left: 10 12)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n10 / 2 = 5 (left: 5 6)\n",
|
|
"13 - 3 = 10 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n3 + 4 = 7 (left: 7 13)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n4 - 3 = 1 (left: 1 13)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n13 - 3 = 10 (left: 4 10)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n13 - 4 = 9 (left: 3 9)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n13 / 3 = 4.33 (left: 4 4.33)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n3 * 4 = 12 (left: 12 13)\n",
|
|
"6 - 2 = 4 (left: 3 4 13)\n4 * 13 = 52 (left: 3 52)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 6 13",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n1 + 5 = 6 (left: 6 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n5 - 1 = 4 (left: 4 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 5 = 8 (left: 1 8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 / 1 = 13 (left: 5 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n5 * 1 = 5 (left: 5 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n6 + 8 = 14 (left: 13 14)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n8 - 6 = 2 (left: 2 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n13 - 8 = 5 (left: 5 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n13 - 6 = 7 (left: 7 8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n6 * 8 = 48 (left: 13 48)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n13 + 6 = 19 (left: 8 19)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 5 = 8 (left: 6 8 13)\n8 + 13 = 21 (left: 6 21)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n5 + 7 = 12 (left: 12 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n7 - 5 = 2 (left: 2 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n13 - 5 = 8 (left: 7 8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n13 - 7 = 6 (left: 5 6)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n5 * 7 = 35 (left: 13 35)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n13 + 5 = 18 (left: 7 18)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n13 + 7 = 20 (left: 5 20)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n13 - 6 = 7 (left: 5 7 13)\n13 / 5 = 2.6 (left: 2.6 7)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 - 5 = 8 (left: 1.2 8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 - 1.2 = 11.8 (left: 5 11.8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 * 1.2 = 6 (left: 6 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 5 = 2.6 (left: 1.2 2.6)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 6 13",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (2 + 3) + (6 + 13) = 24\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n6.2 + 13 = 19.2 (left: 19.2)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n6.2 - 13 = -6.8 (left: -6.8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n13 - 6.2 = 6.8 (left: 6.8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n6.2 * 13 = 80.6 (left: 80.6)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n1.2 + 5 = 6.2 (left: 6.2 13)\n13 / 6.2 \u2248 2.1 (left: 2.1)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n3.8 + 13 = 16.8 (left: 16.8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n13 - 3.8 = 9.2 (left: 3.8 9.2)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n3.8 * 13 = 49.4 (left: 49.4)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n5 - 1.2 = 3.8 (left: 3.8 13)\n13 / 3.8 \u2248 3.42 (left: 3.42 3.8)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n5 + 10.83 = 15.83 (left: 15.83)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n10.83 - 5 = 5.83 (left: 5 5.83)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n5 * 10.83 = 54.15 (left: 54.15)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 / 5 = 1.2 (left: 1.2 5 13) (if only integer operations are allowed, ignore this step)\n13 / 1.2 \u2248 10.83 (left: 5 10.83)\n10.83 / 5 = 2.166 (left: 2.166 5)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (2 + 3) + (6 + 13) = 24\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 958,
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n5 + 6 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (2 + 3) + (6 + 13) = 24\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"2 + 3 = 5 (left: 5 6 13)\n6 - 5 = 1 (left: 1 5 13)\n13 - 1 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 373483,
|
|
"prompt_tokens": 939586,
|
|
"cost": 50.59656
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 2 5 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 5 12)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n",
|
|
"12 + 2 = 14 (left: 2 5 14)\n",
|
|
"12 - 2 = 10 (left: 2 5 10)\n",
|
|
"12 / 2 = 6 (left: 2 5 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 2 = 4 (left: 4 5 12)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 2 5 12",
|
|
"ys": [
|
|
"2 + 2 = 4 (left: 4 5 12)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 5 12)\n4 + 5 = 9 (left: 9 12)\n",
|
|
"2 + 2 = 4 (left: 4 5 12)\n5 - 4 = 1 (left: 1 12)\n",
|
|
"2 + 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n",
|
|
"2 + 2 = 4 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n",
|
|
"2 + 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n",
|
|
"2 + 2 = 4 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n4 + 5 = 9 (left: 9 12)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n5 + 12 = 17 (left: 4 17)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n12 - 4 = 8 (left: 5 8)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n12 - 5 = 7 (left: 4 7)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n4 * 5 = 20 (left: 12 20)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n5 * 12 = 60 (left: 4 60)\n",
|
|
"2 * 2 = 4 (left: 4 5 12)\n12 / 4 = 3 (left: 3 5)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n2 + 7 = 9 (left: 9 12)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n12 - 2 = 10 (left: 7 10)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n12 / 2 = 6 (left: 6 7)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n2 * 7 = 14 (left: 12 14)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 + 3 = 5 (left: 5 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n3 + 12 = 15 (left: 2 15)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n12 - 2 = 10 (left: 3 10)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n12 / 2 = 6 (left: 3 6)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n12 - 3 = 9 (left: 2 9)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 * 2.5 = 5 (left: 5 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 * 12 = 30 (left: 2 30)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 / 2 = 6 (left: 2.5 6)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 / 2.5 = 4.8 (left: 2 4.8)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
21.001
|
|
],
|
|
"select_new_ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 2 5 12",
|
|
"ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n0.5 + 12 = 12.5 (left: 12.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 * 0.5 = 6 (left: 6)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 - 0.5 = 11.5 (left: 11.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 / 0.5 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n4.5 + 12 = 16.5 (left: 16.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n2.5 + 10 = 12.5 (left: 12.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n10 - 2.5 = 7.5 (left: 7.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n10 / 2.5 = 4 (left: 4)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n12 - 2 = 10 (left: 2.5 10)\n2.5 * 10 = 25 (left: 25)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
60.0,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
3.0,
|
|
1.002,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 / 0.5 = 24 (left: 24)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 2 5 12",
|
|
"ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 / 0.5 = 24 (left: 24)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 / 0.5 = 24 (left: 24)\nAnswer: (12 / (5 / 2 - 2)) = 24\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 + 7.5 = 12 (left: 12)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n7.5 - 4.5 = 3 (left: 3 4.5)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 * 7.5 = 33.75 (left: 33.75)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n7.5 / 4.5 = 1.6667 (left: 1.6667 4.5)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n2.67 + 4.5 = 7.17 (left: 7.17)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n4.5 - 2.67 = 1.83 (left: 1.83)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n2.67 * 4.5 = 12.015 (left: 12.015)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n4.5 / 2.67 = 1.68539 (left: 1.68539)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n2 + 60 = 62 (left: 8 8 14 62)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 + 60 = 68 (left: 2 8 14 68)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 + 60 = 74 (left: 2 8 8 74)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 8 = 7.5 (not an integer, so not a valid step)\n",
|
|
"5 + 2 = 7 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 14 = 4.29 (not an integer, so not a valid step)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 / 0.5 = 24 (left: 24)\nAnswer: (12 / (5 / 2 - 2)) = 24\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 + 7.5 = 12 (left: 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 959,
|
|
"ys": [
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2.5 - 2 = 0.5 (left: 0.5 12)\n12 / 0.5 = 24 (left: 24)\nAnswer: (12 / (5 / 2 - 2)) = 24\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"5 / 2 = 2.5 (left: 2 2.5 12)\n2 + 2.5 = 4.5 (left: 4.5 12)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 + 7.5 = 12 (left: 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"5 - 2 = 3 (left: 2 3 12)\n2 * 3 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 377619,
|
|
"prompt_tokens": 950556,
|
|
"cost": 51.173820000000006
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 6 8 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 6 = 8 (left: 8 8 13)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n",
|
|
"13 / 2 = 6.5 (left: 6 6.5 8) (if decimals are allowed)\n",
|
|
"13 + 2 = 15 (left: 6 8 15)\n",
|
|
"13 + 6 = 19 (left: 2 8 19)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 6 8 13",
|
|
"ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 * 8 = 24 (left: 13 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 - 3 = 10 (left: 8 10)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 - 8 = 5 (left: 3 5)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 - 3 = 5 (left: 5 13)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n4 + 8 = 12 (left: 12 13)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n8 - 4 = 4 (left: 4 13)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n13 - 4 = 9 (left: 8 9)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n13 - 8 = 5 (left: 4 5)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n4 * 8 = 32 (left: 13 32)\n",
|
|
"6 - 2 = 4 (left: 4 8 13)\n8 / 4 = 2 (left: 2 13)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 + 8 = 14 (left: 11 14)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n8 - 6 = 2 (left: 2 11)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 * 8 = 48 (left: 11 48)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n2 + 7 = 9 (left: 8 9)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n7 - 2 = 5 (left: 5 8)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n7 * 2 = 14 (left: 8 14)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n2 * 8 = 16 (left: 7 16)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n8 - 2 = 6 (left: 6 7)\n",
|
|
"13 - 6 = 7 (left: 2 7 8)\n8 / 2 = 4 (left: 4 7)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n8 + 12 = 20 (left: 13 20)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 - 8 = 4 (left: 4 13)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n13 - 8 = 5 (left: 5 12)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n13 - 12 = 1 (left: 1 8)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n8 * 12 = 96 (left: 13 96)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n13 * 8 = 104 (left: 12 104)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 * 13 = 156 (left: 8 156)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 6 8 13",
|
|
"ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n21 / 3 = 7 (left: 3 7)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n21 - 3 = 18 (left: 3 18)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 * 21 = 63 (left: 63)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n3 + 8 = 11 (left: 11 11)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 - 3 = 5 (left: 5 11)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 8 = 3 (left: 3 3)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n3 * 8 = 24 (left: 11 24)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n1.5 + 13 = 14.5 (left: 14.5)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n13 - 1.5 = 11.5 (left: 11.5)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n13 / 1.5 \u2248 8.67 (left: 8.67)\n",
|
|
"2 * 6 = 12 (left: 8 12 13)\n12 / 8 = 1.5 (left: 1.5 13)\n1.5 * 13 = 19.5 (left: 19.5)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.0,
|
|
0.001,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 6 8 13",
|
|
"ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (6 / 2 + 8) + 13 = 24\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (6 / 2) + (8 + 13) = 24\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (6 / 2) + 8 + 13 = 24\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 - 3.67 = 4.33 (left: 4.33)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 * 8 = 29.36 (left: 29.36)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n2.67 + 11 = 13.67 (left: 13.67)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 - 2.67 = 8.33 (left: 8.33)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n2.67 * 11 \u2248 29.37 (left: 29.37)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
2.001,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (6 / 2 + 8) + 13 = 24\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (6 / 2) + (8 + 13) = 24\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (6 / 2) + 8 + 13 = 24\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 960,
|
|
"ys": [
|
|
"6 / 2 = 3 (left: 3 8 13)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (6 / 2 + 8) + 13 = 24\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n8 + 13 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (6 / 2) + (8 + 13) = 24\n",
|
|
"6 / 2 = 3 (left: 3 8 13)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (6 / 2) + 8 + 13 = 24\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 / 3 \u2248 2.67 (left: 2.67 11)\n11 / 2.67 \u2248 4.12 (left: 4.12)\n",
|
|
"13 - 2 = 11 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 380932,
|
|
"prompt_tokens": 959917,
|
|
"cost": 51.65343
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "8 8 10 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"8 + 8 = 16 (left: 10 12 16)\n",
|
|
"8 - 8 = 0 (left: 0 10 12)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n",
|
|
"10 - 8 = 2 (left: 2 8 12)\n",
|
|
"12 + 8 = 20 (left: 8 10 20)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n",
|
|
"8 * 8 = 64 (left: 10 12 64)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0,
|
|
0,
|
|
3.0,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"8 + 8 = 16 (left: 10 12 16)\n",
|
|
"8 - 8 = 0 (left: 0 10 12)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "8 8 10 12",
|
|
"ys": [
|
|
"8 + 8 = 16 (left: 10 12 16)\n",
|
|
"8 - 8 = 0 (left: 0 10 12)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 + 12 = 22 (left: 16 22)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 + 16 = 28 (left: 10 28)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 - 12 = -2 (left: -2 16)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 12 = 1.333 (left: 1.333 10)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 * 12 = 120 (left: 16 120)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 * 16 = 192 (left: 10 192)\n",
|
|
"8 - 8 = 0 (left: 0 10 12)\n10 + 12 = 22 (left: 0 22)\n",
|
|
"8 - 8 = 0 (left: 0 10 12)\n12 - 10 = 2 (left: 0 2 10)\n",
|
|
"8 - 8 = 0 (left: 0 10 12)\n10 * 0 = 0 (left: 0 12)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n4 + 8 = 12 (left: 10 12)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n8 - 4 = 4 (left: 4 10)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n10 - 4 = 6 (left: 6 8)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n10 - 8 = 2 (left: 2 4)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n10 / 4 = 2.5 (left: 2.5 8)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n8 / 4 = 2 (left: 2 10)\n",
|
|
"12 - 8 = 4 (left: 4 8 10)\n4 * 8 = 32 (left: 10 32)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n1.5 + 8 = 9.5 (left: 9.5 10)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n8 - 1.5 = 6.5 (left: 6.5 10)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 1.5 = 8.5 (left: 8 8.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n8 / 1.5 \u2248 5.33 (left: 5.33 10)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 / 1.5 \u2248 6.67 (left: 6.67 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 / 8 = 1.25 (left: 1.25 1.5)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n8 + 12 = 20 (left: 18 20)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n12 - 8 = 4 (left: 4 18)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n18 - 8 = 10 (left: 10 12)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n18 - 12 = 6 (left: 6 8)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n18 / 8 = 2.25 (left: 2.25 12)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n18 / 12 = 1.5 (left: 1.5 8)\n",
|
|
"10 + 8 = 18 (left: 8 12 18)\n12 / 8 = 1.5 (left: 1.5 18)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 - 12 = -2 (left: -2 16)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "8 8 10 12",
|
|
"ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 - 12 = -2 (left: -2 16)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 1.5 = 6.5 (left: 2 6.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 1.5 \u2248 5.33 (left: 2 5.33)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 - 12 = -2 (left: -2 16)\n-2 + 16 = 14 (left: 14)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 - 12 = -2 (left: -2 16)\n16 - (-2) = 18 (left: 18)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n10 - 12 = -2 (left: -2 16)\n-2 * 16 = -32 (left: -32)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n1.6 + 12 = 13.6 (left: 13.6)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n12 - 1.6 = 10.4 (left: 10.4)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n12 / 1.6 = 7.5 (left: 7.5)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 / 10 = 1.6 (left: 1.6 12)\n1.6 * 12 = 19.2 (left: 19.2)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n1.2 + 16 = 17.2 (left: 17.2)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n16 / 1.2 = 13.33 (left: 13.33)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n16 - 1.2 = 14.8 (left: 14.8)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n12 / 10 = 1.2 (left: 1.2 16)\n1.2 * 16 = 19.2 (left: 19.2)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "8 8 10 12",
|
|
"ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n3.5 + 8 = 11.5 (left: 11.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n8 - 3.5 = 4.5 (left: 4.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 28)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n8 / 3.5 \u2248 2.29 (left: 2.29)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 - 2 = 6 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 + 6 = 12 (left: 12)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 - 6 = 0 (left: 0)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 / 6 = 1 (left: 1)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n1.5 + 4 = 5.5 (left: 5.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n4 - 1.5 = 2.5 (left: 2.5)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n4 / 1.5 = 2.67 (approx.) (left: 2.67)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n1.5 * 4 = 6 (left: 6)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.001,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
0,
|
|
0.001,
|
|
0.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n1.5 * 4 = 6 (left: 6)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 28)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 961,
|
|
"ys": [
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n2 * 1.5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"8 + 8 = 16 (left: 10 12 16)\n16 - 10 = 6 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n6 * 6 = 36 (left: 36)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n8 / 2 = 4 (left: 1.5 4)\n1.5 * 4 = 6 (left: 6)\n",
|
|
"12 / 8 = 1.5 (left: 1.5 8 10)\n10 - 8 = 2 (left: 1.5 2 8)\n1.5 + 2 = 3.5 (left: 3.5 8)\n3.5 * 8 = 28 (left: 28)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 387733,
|
|
"prompt_tokens": 975857,
|
|
"cost": 52.53968999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 3 8 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 4 8 13)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n",
|
|
"8 - 1 = 7 (left: 3 7 13)\n",
|
|
"13 - 1 = 12 (left: 3 8 12)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n",
|
|
"13 - 3 = 10 (left: 1 8 10)\n",
|
|
"13 - 8 = 5 (left: 1 3 5)\n",
|
|
"8 - 3 = 5 (left: 1 5 13)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
22.0,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
22.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 3 8 13",
|
|
"ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n8 - 3 = 5 (left: 5 13)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n13 - 8 = 5 (left: 3 5)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n13 - 3 = 10 (left: 8 10)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 * 8 = 24 (left: 13 24)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n13 / 3 \u2248 4.33 (not a whole number, so not a valid operation)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n8 / 3 \u2248 2.67 (not a whole number, so not a valid operation)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n8 - 3 = 5 (left: 5 13)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 - 3 = 10 (left: 8 10)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 - 8 = 5 (left: 3 5)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 * 8 = 24 (left: 13 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n8 * 3 = 24 (left: 13 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n8 - 3 = 5 (left: 5 13)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n13 - 3 = 10 (left: 8 10)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n13 - 8 = 5 (left: 3 5)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 * 8 = 24 (left: 13 24)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n13 / 3 = 4.33 (approx.) (left: 4.33 8)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n8 / 3 = 2.67 (approx.) (left: 2.67 13)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n4 + 8 = 12 (left: 12 13)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n8 - 4 = 4 (left: 4 13)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n13 - 4 = 9 (left: 8 9)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n13 - 8 = 5 (left: 4 5)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n4 * 8 = 32 (left: 13 32)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n8 / 4 = 2 (left: 2 13)\n",
|
|
"1 + 3 = 4 (left: 4 8 13)\n13 / 4 = 3.25 (left: 3.25 8)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n2 + 8 = 10 (left: 10 13)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n8 / 2 = 4 (left: 4 13)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n13 + 2 = 15 (left: 8 15)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n13 - 2 = 11 (left: 8 11)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n13 - 8 = 5 (left: 2 5)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n2 * 8 = 16 (left: 13 16)\n",
|
|
"3 - 1 = 2 (left: 2 8 13)\n8 - 2 = 6 (left: 6 13)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 3 8 13",
|
|
"ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n21 / 3 = 7 (left: 7)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n21 - 3 = 18 (left: 18)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 * 21 = 63 (left: 63)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 3 8 13",
|
|
"ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 * 3) + 8 + 13 = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 8) + 13 = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (13 / 1) + (8 + 3) = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (13 / 1) + (3 + 8) = 24\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 8) + 13 = 24\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 * 3) + 8 + 13 = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 8) + 13 = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (13 / 1) + (8 + 3) = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (13 / 1) + (3 + 8) = 24\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 8) + 13 = 24\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 962,
|
|
"ys": [
|
|
"1 * 3 = 3 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (1 * 3) + 8 + 13 = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 8) + 13 = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 3 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (13 / 1) + (8 + 3) = 24\n",
|
|
"13 / 1 = 13 (left: 3 8 13) (repeated)\n13 + 8 = 21 (left: 3 21)\n3 + 21 = 24 (left: 24)\nAnswer: (13 / 1) + (3 + 8) = 24\n",
|
|
"8 / 1 = 8 (left: 3 8 13) (repeated)\n3 + 8 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 + 8) + 13 = 24\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
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{
|
|
"r": 0
|
|
}
|
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],
|
|
"usage_so_far": {
|
|
"completion_tokens": 389211,
|
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"prompt_tokens": 982758,
|
|
"cost": 52.8354
|
|
}
|
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},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 4 7 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n",
|
|
"7 * 4 = 28 (left: 4 10 28)\n",
|
|
"10 + 4 = 14 (left: 4 7 14)\n",
|
|
"7 + 4 = 11 (left: 4 10 11)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
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3.0,
|
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3.0,
|
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0.003,
|
|
3.0,
|
|
3.0
|
|
],
|
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"select_new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 4 7 10",
|
|
"ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 8 = 2 (left: 2 7)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 - 7 = 1 (left: 1 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 * 8 = 56 (left: 10 56)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 * 10 = 80 (left: 7 80)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 * 10 = 70 (left: 8 70)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n7 + 10 = 17 (left: 16 17)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n10 + 16 = 26 (left: 7 26)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 - 7 = 9 (left: 9 10)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 - 10 = 6 (left: 6 7)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n10 - 7 = 3 (left: 3 16)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n7 * 10 = 70 (left: 16 70)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n6 - 4 = 2 (left: 2 7)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 * 6 = 24 (left: 7 24)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n6 / 4 = 1.5 (left: 1.5 7)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n7 - 6 = 1 (left: 1 4)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n7 * 4 = 28 (left: 6 28)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n7 / 4 = 1.75 (left: 1.75 6)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n3 + 4 = 7 (left: 7 10)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n4 - 3 = 1 (left: 1 10)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n10 - 3 = 7 (left: 4 7)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n10 - 4 = 6 (left: 3 6)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n3 * 4 = 12 (left: 10 12)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n10 / 3 \u2248 3.33 (left: 3.33 4)\n",
|
|
"7 - 4 = 3 (left: 3 4 10)\n10 / 4 = 2.5 (left: 3 2.5)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n2.5 + 4 = 6.5 (left: 6.5 7)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n4 - 2.5 = 1.5 (left: 1.5 7)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n7 - 2.5 = 4.5 (left: 4 4.5)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n7 - 4 = 3 (left: 2.5 3)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n2.5 * 4 = 10 (left: 7 10)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n4 * 7 = 28 (left: 2.5 28)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 4 7)\n7 / 2.5 = 2.8 (left: 2.8 4)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 4 7 10",
|
|
"ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n8 - 7 = 1 (left: 1 8)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n8 / 7 \u2248 1.14 (left: 1.14 8)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 * 8 = 56 (left: 8 56)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n10 * 15 = 150 (left: 150)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n7 + 18 = 25 (left: 25)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n18 - 7 = 11 (left: 11)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n18 / 7 \u2248 2.57 (not a whole number, so not a valid step)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n8 + 10 = 18 (left: 7 18)\n7 * 18 = 126 (left: 126)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"10 - 4 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 4 7 10",
|
|
"ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 + 10 = 11.5 (left: 11.5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 / 1.5 \u2248 6.67 (left: 6.67)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n10 - 5 = 5 (left: 5 5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 * 10 = 50 (left: 50)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n10 / 5 = 2 (left: 2 5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 8 14 19)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 3 8 14)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 14 88)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 + 11 = 25 (left: 8 8 25)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 3 8 8)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 * 11 = 154 (left: 8 8 154)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n8 + 15 = 23 (left: 23)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n15 - 8 = 7 (left: 7)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n15 / 8 = 1.875 (left: 1.875)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n8 * 15 = 120 (left: 120)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n8 * 15 = 120 (left: 120)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 963,
|
|
"ys": [
|
|
"4 + 4 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (10 - 7) * (4 + 4) = 24\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n10 - 1.5 = 8.5 (left: 8.5)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5 10)\n1.5 * 10 = 15 (left: 15)\n",
|
|
"4 + 4 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"4 * 4 = 16 (left: 7 10 16)\n16 / 2 = 8 (left: 7 8 8)\n7 + 8 = 15 (left: 8 15)\n8 * 15 = 120 (left: 120)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 395677,
|
|
"prompt_tokens": 998150,
|
|
"cost": 53.68512
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 7 10 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 7 = 8 (left: 8 10 13)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n",
|
|
"13 + 1 = 14 (left: 7 10 14)\n",
|
|
"13 - 1 = 12 (left: 7 10 12)\n",
|
|
"13 - 7 = 6 (left: 1 6 10)\n",
|
|
"13 - 10 = 3 (left: 1 3 7)\n",
|
|
"10 - 7 = 3 (left: 1 3 13)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 7 = 8 (left: 8 10 13)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 7 10 13",
|
|
"ys": [
|
|
"1 + 7 = 8 (left: 8 10 13)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 7 = 8 (left: 8 10 13)\n8 + 10 = 18 (left: 13 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 + 8 = 21 (left: 10 21)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 * 8 = 104 (left: 10 104)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 * 10 = 130 (left: 8 130)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n8 + 10 = 18 (left: 13 18)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 + 13 = 23 (left: 8 23)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n8 * 10 = 80 (left: 13 80)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 * 13 = 130 (left: 8 130)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n8 / 10 = 0.8 (left: 0.8 13)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n6 + 10 = 16 (left: 13 16)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n10 - 6 = 4 (left: 4 13)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n13 - 6 = 7 (left: 7 10)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n13 - 10 = 3 (left: 3 6)\n",
|
|
"7 - 1 = 6 (left: 6 10 13)\n10 / 2 = 5 (left: 5 13)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n7 + 11 = 18 (left: 13 18)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n11 - 7 = 4 (left: 4 13)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n13 - 7 = 6 (left: 6 11)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n13 - 11 = 2 (left: 2 7)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n11 + 13 = 24 (left: 7 24)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n7 * 11 = 77 (left: 13 77)\n",
|
|
"10 + 1 = 11 (left: 7 11 13)\n11 * 13 = 143 (left: 7 143)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n7 + 9 = 16 (left: 13 16)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n9 - 7 = 2 (left: 2 13)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n13 - 7 = 6 (left: 6 9)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n13 - 9 = 4 (left: 4 7)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n13 + 7 = 20 (left: 9 20)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n7 * 9 = 63 (left: 13 63)\n",
|
|
"10 - 1 = 9 (left: 7 9 13)\n9 / 7 = 1.29 (approx) (left: 1.29 13)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
22.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 7 10 13",
|
|
"ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n3 + 8 = 11 (left: 11 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n8 / 3 = 2.67 (not an integer, so not a valid step)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 + 3 = 21 (left: 8 21)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n3 * 8 = 24 (left: 18 24)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n8 - 3 = 5 (left: 5 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 3 = 15 (left: 8 15)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n5 + 10 = 15 (left: 15 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 + 18 = 28 (left: 5 28)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 - 5 = 13 (left: 10 13)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 - 10 = 8 (left: 5 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 - 5 = 5 (left: 5 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 10 = 1.8 (left: 1.8 5)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n1.25 + 13 = 14.25 (left: 14.25)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n13 - 1.25 = 11.75 (left: 11.75)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n13 / 1.25 \u2248 10.4 (left: 10.4)\n",
|
|
"7 + 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13)\n1.25 * 13 = 16.25 (left: 16.25)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n2 + 13 = 15 (left: 15 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n13 - 2 = 11 (left: 11 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n18 - 2 = 16 (left: 13 16)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n18 / 2 = 9 (left: 9 13)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n18 - 13 = 5 (left: 2 5)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 18)\n13 * 2 = 26 (left: 18 26)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.0,
|
|
0.001,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 7 10 13",
|
|
"ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 1) * (13 - 10) = 24\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n3.6 + 10 = 13.6 (left: 13.6)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n10 - 3.6 = 6.4 (left: 6.4)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n3.6 * 10 = 36 (left: 36)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n10 / 3.6 = 2.78 (approximately, left: 2.78)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n8 / 6 = 1.33 (left: 1.33 6)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n2 + 18 = 20 (left: 20)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n18 / 2 = 9 (left: 9)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n18 - 2 = 16 (left: 16)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n2 * 18 = 36 (left: 36)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n3 + 10 = 13 (left: 13)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n10 - 3 = 7 (left: 7)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n3 * 10 = 30 (left: 30)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 - 8 = 10 (left: 3 10)\n10 / 3 = 3.33 (left: 3.33)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 1) * (13 - 10) = 24\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n3.6 * 10 = 36 (left: 36)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n8 / 6 = 1.33 (left: 1.33 6)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n2 + 18 = 20 (left: 20)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 964,
|
|
"ys": [
|
|
"7 + 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 1) * (13 - 10) = 24\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n18 / 5 = 3.6 (left: 3.6 10)\n3.6 * 10 = 36 (left: 36)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 18)\n18 / 3 = 6 (left: 6 8)\n8 / 6 = 1.33 (left: 1.33 6)\n",
|
|
"1 + 7 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 18)\n10 / 5 = 2 (left: 2 18)\n2 + 18 = 20 (left: 20)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 400038,
|
|
"prompt_tokens": 1009509,
|
|
"cost": 54.287549999999996
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 9 10 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 9 = 10 (left: 10 10 13)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n",
|
|
"10 - 9 = 1 (left: 1 1 13)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n",
|
|
"9 * 1 = 9 (left: 10 9 13)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 9 10 13",
|
|
"ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n8 + 10 = 18 (left: 13 18)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 + 13 = 23 (left: 8 23)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n8 * 10 = 80 (left: 13 80)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 * 13 = 130 (left: 8 130)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n8 / 13 = 0.615 (left: 0.615 10) (if decimals are allowed)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 13 = 0.769 (left: 0.769 8) (if decimals are allowed)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n9 + 10 = 19 (left: 12 19)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n10 + 12 = 22 (left: 9 22)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n12 + 9 = 21 (left: 10 21)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n9 * 10 = 90 (left: 12 90)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n10 * 12 = 120 (left: 9 120)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n12 * 9 = 108 (left: 10 108)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n10 - 9 = 1 (left: 1 12)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n",
|
|
"13 - 1 = 12 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n1 + 4 = 5 (left: 5 10)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 - 1 = 3 (left: 3 10)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 - 1 = 9 (left: 4 9)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 - 4 = 6 (left: 1 6)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n9 + 9 = 18 (left: 13 18)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n9 * 9 = 81 (left: 13 81)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n13 + 9 = 22 (left: 9 22)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n13 - 9 = 4 (left: 4 9)\n",
|
|
"10 - 1 = 9 (left: 9 9 13)\n13 * 9 = 117 (left: 9 117)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n9 + 10 = 19 (left: 13 19)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n10 + 13 = 23 (left: 9 23)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n13 - 9 = 4 (left: 4 10)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n13 - 10 = 3 (left: 3 9)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n10 - 9 = 1 (left: 1 13)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n9 * 10 = 90 (left: 13 90)\n",
|
|
"13 / 1 = 13 (left: 9 10 13)\n9 / 3 = 3 (left: 3 10 13)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 9 10 13",
|
|
"ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n1.625 + 10 = 11.625 (left: 11.625)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n10 - 1.625 = 8.375 (left: 8.375)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n10 / 1.625 \u2248 6.154 (left: 6.154)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) (if decimals are allowed)\n1.625 * 10 = 16.25 (left: 16.25)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n1.25 + 13 = 14.25 (left: 14.25)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n13 - 1.25 = 11.75 (left: 11.75)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n13 / 1.25 = 10.4 (left: 10.4)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n10 / 8 = 1.25 (left: 1.25 13) (if decimals are allowed)\n1.25 * 13 = 16.25 (left: 16.25)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.001,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 9 10 13",
|
|
"ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (13 - 10) = 24\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 13 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 9 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 5.5 8 8 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 - 11 = -9 (left: -9 8 8 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 - 11 = -3 (left: 2 -3 8 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 3 8 8)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 8 14 88)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 + 6 = 20 (left: 8 8 20)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 + 6 = 14 (left: 10 14 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 8 = 48 (left: 14 16 48)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 - 6 = 8 (left: 8 8 8)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n10 - 4 = 6 (left: 6)\n7 + 6 = 13 (left: 8 13 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 2 = 42 (left: 8 8 14 42)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 8 = 48 (left: 2 8 14 48)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 14 = 54 (left: 2 8 8 54)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 2 = 80 (left: 8 8 14 80)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 2 = 20 (left: 8 8 14 20)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 2 = 38 (left: 8 8 14 38)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 8 = 32 (left: 2 8 14 32)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 14 = 26 (left: 2 8 8 26)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n10 / 1 = 10 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 8 = 5 (left: 2 5 8 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n2 + 6 = 8 (left: 8 8 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 + 6 = 20 (left: 2 8 20)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 / 6 = ~2.33 (left: ~2.33 8 8)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 8 = 48 (left: 2 14 48)\n",
|
|
"13 - 9 = 4 (left: 1 4 10)\n4 * 1 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 - 6 = 2 (left: 2 2 14)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (13 - 10) = 24\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 13 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 9 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 5.5 8 8 14)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 965,
|
|
"ys": [
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 - 1) * (13 - 10) = 24\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 13 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 9 14)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 - 1 = 8 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 5.5 8 8 14)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 405754,
|
|
"prompt_tokens": 1021667,
|
|
"cost": 54.99525
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 3 4 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 3 = 6 (left: 4 6 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n",
|
|
"3 / 3 = 1 (left: 1 4 11)\n",
|
|
"11 / 3 = 3.67 (left: 3 3.67 4)\n",
|
|
"11 / 4 = 2.75 (left: 2.75 3 3)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 3 4 11",
|
|
"ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 - 4 = 5 (left: 5 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 - 4 = 7 (left: 7 9)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 - 9 = 2 (left: 2 4)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 * 9 = 36 (left: 11 36)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n4 + 6 = 10 (left: 10 11)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 - 4 = 2 (left: 2 11)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n11 - 4 = 7 (left: 6 7)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n11 - 6 = 5 (left: 4 5)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n4 * 6 = 24 (left: 11 24)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n11 / 4 = 2.75 (left: 2.75 6)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n11 / 6 = 1.8333 (left: 1.8333 4)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n3 + 4 = 7 (left: 7 8)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n8 - 3 = 5 (left: 4 5)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n8 - 4 = 4 (left: 3 4)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n3 * 4 = 12 (left: 8 12)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n8 / 4 = 2 (left: 2 3)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n3 + 3 = 6 (left: 6 7)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n3 * 3 = 9 (left: 7 9)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n7 - 3 = 4 (left: 3 4)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n7 / 3 = ~2.33 (left: ~2.33 3) (not an integer operation)\n",
|
|
"11 - 4 = 7 (left: 3 3 7)\n7 + 3 = 10 (left: 3 10)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n1.33 + 3 = 4.33 (left: 4.33 11)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n3 - 1.33 = 1.67 (left: 1.67 11)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n11 - 1.33 = 9.67 (left: 3 9.67)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n11 - 3 = 8 (left: 1.33 8)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n11 / 1.33 \u2248 8.27 (left: 3 8.27)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n11 / 3 \u2248 3.67 (left: 1.33 3.67)\n",
|
|
"4 / 3 = 1.33 (left: 1.33 3 11)\n3 * 1.33 = 3.99 (left: 3.99 11)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 3 4 11",
|
|
"ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n2.25 + 11 = 13.25 (left: 13.25)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n11 - 2.25 = 8.75 (left: 8.75)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n11 / 2.25 \u2248 4.89 (left: 4.89)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n9 / 4 = 2.25 (left: 2.25 11)\n2.25 * 11 = 24.75 (left: 24.75)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n2.75 + 9 = 11.75 (left: 11.75)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n2.75 * 9 = 24.75 (left: 24.75)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n1.5 + 11 = 12.5 (left: 12.5)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n11 - 1.5 = 9.5 (left: 9.5)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n11 / 1.5 \u2248 7.33 (left: 7.33)\n",
|
|
"3 + 3 = 6 (left: 4 6 11)\n6 / 4 = 1.5 (left: 1.5 11)\n1.5 * 11 = 16.5 (left: 16.5)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"11 - 3 = 8 (left: 3 4 8)\n4 + 8 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0,
|
|
0.0,
|
|
0.001,
|
|
1.002,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 3 4 11",
|
|
"ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 * 3) + (4 + 11) = 24\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n2.75 + 6.25 = 9 (left: 9)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n6.25 - 2.75 = 3.5 (left: 3.5)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n6.25 / 2.75 \u2248 2.27 (left: 2.27)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 - 2.75 = 6.25 (left: 2.75 6.25)\n2.75 * 6.25 = 17.1875 (left: 17.1875)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n2 + 11 = 13 (left: 13)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n11 - 2 = 9 (left: 9)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n2 * 11 = 22 (left: 22)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n11 / 2 = 5.5 (left: 5.5)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 + 1 = 144 (left: 144)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 - 1 = 142 (left: 142)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 * 1 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 / 1 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\nRound up to 4 (left: 4)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\nRound down to 3 (left: 3)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\nAdd 1 to get 4.27 (left: 4.27)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\nSubtract 1 to get 2.27 (left: 2.27)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\nMultiply by 2 to get 6.54 (left: 6.54)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n11 / 4 = 2.75 (left: 2.75 9)\n9 / 2.75 \u2248 3.27 (left: 3.27)\nDivide by 2 to get 1.635 (left: 1.635)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 * 3) + (4 + 11) = 24\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n2 * 11 = 22 (left: 22)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 + 1 = 144 (left: 144)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 * 1 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 / 1 = 143 (left: 143)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 966,
|
|
"ys": [
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (3 * 3) + (4 + 11) = 24\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n2 * 11 = 22 (left: 22)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 + 1 = 144 (left: 144)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 * 1 = 143 (left: 143)\n",
|
|
"3 * 3 = 9 (left: 4 9 11)\n4 + 9 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n143 / 1 = 143 (left: 143)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 410620,
|
|
"prompt_tokens": 1034564,
|
|
"cost": 55.67412
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 5 7 7",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 5 = 7 (left: 7 7 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n",
|
|
"2 * 5 = 10 (left: 7 7 10)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 5 7 7",
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n",
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 * 7 = 49 (left: 10 49)\n",
|
|
"2 * 5 = 10 (left: 7 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"2 * 5 = 10 (left: 7 7 10)\n10 / 7 = approx. 1.43 (left: approx. 1.43 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n7 - 3 = 4 (left: 4 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n7 / 3 \u2248 2.33 (left: 2.33 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n3.5 + 5 = 8.5 (left: 7 8.5)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n5 - 3.5 = 1.5 (left: 1.5 7)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n7 - 3.5 = 3.5 (left: 3.5 5)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n7 - 5 = 2 (left: 2 3.5)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n7 / 3.5 = 2 (left: 2 5)\n",
|
|
"7 / 2 = 3.5 (left: 3.5 5 7)\n5 / 3.5 = 1.42857 (left: 1.42857 7)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n2 + 2 = 4 (left: 4 7)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n2 * 2 = 4 (left: 4 7)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n7 - 2 = 5 (left: 2 5)\n",
|
|
"7 - 5 = 2 (left: 2 2 7)\n7 / 2 = 3.5 (left: 2 3.5)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 5 7 7",
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 / 7 = 1.43 (left: 1.43 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n7 + 21 = 28 (left: 28)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 / 7 = 3 (left: 3 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n7 * 21 = 147 (left: 147)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 5 7 7",
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (2 * 5) + (7 + 7) = 24\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n7 + 14 = 21 (left: 21)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 / 7 = 2 (left: 2 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 * 7 = 98 (left: 98)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n2 + 60 = 62 (left: 8 8 14 62)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 + 60 = 68 (left: 2 8 14 68)\n",
|
|
"7 - 2 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 + 60 = 74 (left: 2 8 8 74)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5) (if decimals are allowed)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n2 + 17 = 19 (left: 8 8 14 19)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n8 - 17 = -9 (left: -9 8 14) (if negative numbers are allowed)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n14 - 17 = -3 (left: 2 -3 8) (if negative numbers are allowed)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 + 7 = 10 (left: 10)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 / 3 \u2248 2.33 (left: 2.33)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (2 * 5) + (7 + 7) = 24\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 / 7 = 2 (left: 2 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n7 + 14 = 21 (left: 21)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 967,
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 7 7 10)\n7 + 7 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (2 * 5) + (7 + 7) = 24\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n14 / 7 = 2 (left: 2 7)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"5 - 2 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n21 - 7 = 14 (left: 7 14)\n7 + 14 = 21 (left: 21)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 414640,
|
|
"prompt_tokens": 1044513,
|
|
"cost": 56.213789999999996
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 9 10 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 9 = 12 (left: 10 12 13)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n",
|
|
"3 * 9 = 27 (left: 10 13 27)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n",
|
|
"10 - 9 = 1 (left: 1 3 13)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 3 = 6 (left: 6 10 13)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 9 10 13",
|
|
"ys": [
|
|
"9 - 3 = 6 (left: 6 10 13)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 3 = 6 (left: 6 10 13)\n6 + 10 = 16 (left: 13 16)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 - 6 = 4 (left: 4 13)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 - 6 = 7 (left: 7 10)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 - 10 = 3 (left: 3 6)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n6 * 10 = 60 (left: 13 60)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 + 6 = 19 (left: 10 19)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 + 10 = 23 (left: 6 23)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n9 + 10 = 19 (left: 10 19)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n10 - 9 = 1 (left: 1 10)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n10 / 9 = 1.11 (approx) (left: 1.11 10)\n",
|
|
"13 - 3 = 10 (left: 9 10 10)\n9 * 10 = 90 (left: 10 90)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n7 + 9 = 16 (left: 13 16)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n9 - 7 = 2 (left: 2 13)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n13 - 7 = 6 (left: 6 9)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n13 - 9 = 4 (left: 4 7)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n7 * 9 = 63 (left: 13 63)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n13 / 7 = 1.857 (left: 1.857 9)\n",
|
|
"10 - 3 = 7 (left: 7 9 13)\n9 / 7 = 1.286 (left: 1.286 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n10 + 3 = 13 (left: 4 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 * 10 = 40 (left: 3 40)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n10 * 3 = 30 (left: 4 30)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 - 10 = -6 (left: -6 3)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n10 - 4 = 6 (left: 3 6)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n10 - 3 = 7 (left: 4 7)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 / 10 = 0.4 (left: 0.4 3)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n10 / 4 = 2.5 (left: 2.5 3)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n10 / 3 = 3.33 (left: 3.33 4)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 / 3 = 1.33 (left: 1.33 10)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n10 - 4.33 = 5.67 (left: 5.67 9)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n10 - 9 = 1 (left: 1 4.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 / 4.33 \u2248 2.08 (left: 2.08 10)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n10 / 4.33 \u2248 2.31 (left: 2.31 9)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n10 / 9 \u2248 1.11 (left: 1.11 4.33)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 9 10 13",
|
|
"ys": [
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n1.67 + 13 = 14.67 (left: 14.67)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n13 - 1.67 = 11.33 (left: 11.33)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n13 / 1.67 \u2248 7.78 (left: 7.78)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n10 / 6 = 1.67 (approx) (left: 1.67 13)\n1.67 * 13 \u2248 21.71 (left: 21.71)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n10 - 2.17 = 7.83 (left: 7.83)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 * 10 = 21.7 (left: 21.7)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n10 / 2.17 \u2248 4.61 (left: 4.61)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 / 3 = 4.67 (left: 4.67)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 * 14 = 42 (left: 42)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n10 + 13.33 = 23.33 (left: 23.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n10 * 13.33 = 133.3 (left: 133.3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n4.67 + 10 = 14.67 (left: 14.67)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n10 - 4.67 = 5.33 (left: 5.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n4.67 * 10 = 46.7 (left: 46.7)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n9 - 4.33 = 4.67 (left: 4.67 10)\n10 / 4.67 \u2248 2.14 (left: 2.14)\n"
|
|
],
|
|
"values": [
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0.0,
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0.001,
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0.0,
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0.0,
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1.002,
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0.002,
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0.001,
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0.001,
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0.003,
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0.003,
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0.001,
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0.003,
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0.003,
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2.001,
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0.0,
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1.002,
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0.0,
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0.0,
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0.001,
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0
|
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],
|
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"select_new_ys": [
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 9 10 13",
|
|
"ys": [
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n3.33 + 10 = 13.33 (left: 13.33)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n10 - 3.33 = 6.67 (left: 6.67)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n10 / 3.33 \u2248 3.00 (left: 3.00)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 + 2 = 14.17 (left: 8 8 14.17)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 + 8 = 20.17 (left: 2 8 20.17)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 + 14 = 26.17 (left: 2 8 26.17)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 * 2 = 24.34 (left: 8 8 24.34)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 * 8 = 97.36 (left: 2 8 97.36)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 * 14 = 170.38 (left: 2 8 170.38)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 - 2 = 10.17 (left: 8 10.17 14)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 - 8 = 4.17 (left: 2 4.17 14)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n12.17 - 14 = -1.83 (left: 2 8 -1.83)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n2 - 12.17 = -10.17 (left: 8 8 -10.17)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n8 - 12.17 = -4.17 (left: 2 8 -4.17)\n",
|
|
"9 - 3 = 6 (left: 6 10 13)\n13 / 6 = 2.17 (approx) (left: 2.17 10)\n2.17 + 10 = 12.17 (left: 12.17)\n14 - 12.17 = 1.83 (left: 2 8 1.83)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n1.333 + 10 = 11.333 (left: 11.333)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n10 - 1.333 = 8.667 (left: 1.333 8.667)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n10 / 1.333 = 7.5 (left: 1.333 7.5)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 / 10 = 1.333 (left: 1.333 10)\n1.333 * 10 = 13.33 (left: 13.33)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 8 = 25 (left: 2 8 14 25)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 8 = 9 (left: 2 8 14 9)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 8 31)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 14 = 3 (left: 2 8 8 3)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 / 2 = 8.5 (not an integer, so not a valid step)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 * 8 = 136 (left: 2 8 14 136)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 / 8 = 2.125 (not an integer, so not a valid step)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 * 14 = 238 (left: 2 8 8 238)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 / 14 = 1.214 (not an integer, so not a valid step)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 19)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 25)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 22)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 9)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 8 = 3 (left: 2 3 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 -3)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 / 2 = 5.5 (left: 8 8 5.5)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.001,
|
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0.003,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0.0,
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0,
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0,
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0,
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0,
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0,
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3.0,
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0,
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0,
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3.0,
|
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3.0,
|
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0,
|
|
0
|
|
],
|
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"select_new_ys": [
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 19)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 9)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 8 = 3 (left: 2 3 14)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n10 - 3.33 = 6.67 (left: 6.67)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 968,
|
|
"ys": [
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 19)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 9)\n",
|
|
"13 - 9 = 4 (left: 4 10 3)\n4 + 10 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n11 - 8 = 3 (left: 2 3 14)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n3.33 * 10 = 33.3 (left: 33.3)\n",
|
|
"13 / 3 = 4.33 (approx) (left: 4.33 9 10)\n4.33 + 9 = 13.33 (left: 10 13.33)\n13.33 - 10 = 3.33 (left: 3.33 10)\n10 - 3.33 = 6.67 (left: 6.67)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
|
},
|
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{
|
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"r": 0
|
|
},
|
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{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 422707,
|
|
"prompt_tokens": 1061404,
|
|
"cost": 57.204539999999994
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 4 7",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 4 5 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n",
|
|
"4 * 7 = 28 (left: 2 3 28)\n",
|
|
"2 - 3 = -1 (left: -1 4 7)\n",
|
|
"3 - 4 = -1 (left: 2 -1 7)\n",
|
|
"4 - 7 = -3 (left: 2 3 -3)\n",
|
|
"7 - 4 = 3 (left: 2 3 3)\n",
|
|
"7 - 3 = 4 (left: 2 4 4)\n",
|
|
"7 - 2 = 5 (left: 3 4 5)\n",
|
|
"3 / 2 = 1.5 (left: 1.5 4 7)\n",
|
|
"4 / 2 = 2 (left: 2 3 7)\n",
|
|
"7 / 2 = 3.5 (left: 3 3.5 4)\n",
|
|
"4 / 3 = 1.333 (left: 2 1.333 7)\n",
|
|
"7 / 3 = 2.333 (left: 2 4 2.333)\n",
|
|
"7 / 4 = 1.75 (left: 2 3 1.75)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
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3.0,
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3.0,
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0.003,
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3.0,
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3.0,
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3.0,
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3.0,
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3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 4 5 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 4 7",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 4 5 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 + 5 = 9 (left: 7 9)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n5 + 7 = 12 (left: 4 12)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n7 + 4 = 11 (left: 5 11)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 * 5 = 20 (left: 7 20)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n5 * 7 = 35 (left: 4 35)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n7 * 4 = 28 (left: 5 28)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n5 - 4 = 1 (left: 1 7)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n7 - 4 = 3 (left: 3 5)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n7 - 5 = 2 (left: 2 4)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n7 - 2 = 5 (left: 5 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n7 / 2 = 3.5 (left: 3.5 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n2 + 3 = 5 (left: 5 11)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n2 * 3 = 6 (left: 6 11)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 * 11 = 33 (left: 2 33)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n11 - 2 = 9 (left: 3 9)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n11 - 3 = 8 (left: 2 8)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n11 / 2 = 5.5 (left: 3 5.5)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n11 / 3 \u2248 3.67 (left: 2 3.67)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n6 - 4 = 2 (left: 2 7)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n7 - 6 = 1 (left: 1 4)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n4 * 6 = 24 (left: 7 24)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n6 / 4 = 1.5 (left: 1.5 7)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n7 / 4 = 1.75 (left: 1.75 6)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n4 / 6 = 0.666 (left: 0.666 7)\n",
|
|
"2 * 3 = 6 (left: 4 6 7)\n7 / 6 = 1.166 (left: 1.166 4)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n2 + 7 = 9 (left: 9 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 2 = 10 (left: 7 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 / 2 = 6 (left: 6 7)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n2 * 7 = 14 (left: 12 14)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 + 5 = 9 (left: 7 9)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 4 7",
|
|
"ys": [
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 + 5 = 9 (left: 7 9)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n7 + 14 = 21 (left: 21)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 / 7 = 2 (left: 2 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 * 7 = 98 (left: 98)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n2 + 14 = 16 (left: 16)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n14 - 2 = 12 (left: 12)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n14 / 2 = 7 (left: 7)\n",
|
|
"4 + 7 = 11 (left: 2 3 11)\n3 + 11 = 14 (left: 2 14)\n2 * 14 = 28 (left: 28)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 / 2 = 6 (left: 5 6)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 5 = 7 (left: 2 7)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 + 5 = 9 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 + 5 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"2 + 3 = 5 (left: 4 5 7)\n4 + 5 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 + 7 = 9 (left: 7 9)\n9 / 7 = 1.29 (approximately, left: 1.29 7)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
1.002,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 4 7",
|
|
"ys": [
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n7 + 12 = 19 (left: 19)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n12 - 7 = 5 (left: 5)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n7 * 12 = 84 (left: 84)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 + 5 = 7 (left: 7 12)\n12 / 7 = 1.71 (left: 1.71)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n10 - 5 = 5 (left: 5 5)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n5 * 10 = 50 (left: 50)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n10 / 5 = 2 (left: 2 5)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n10 + 12 = 22 (left: 22)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n10 * 12 = 120 (left: 120)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n7 * 7 = 49 (left: 49)\n",
|
|
"3 + 4 = 7 (left: 2 7 7)\n2 * 7 = 14 (left: 7 14)\n14 - 7 = 7 (left: 7 7)\n7 - 7 = 0 (left: 0)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.002,
|
|
0,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 969,
|
|
"ys": [
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n2 * 5 = 10 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n5 - 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"3 * 4 = 12 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5 12)\n12 - 2 = 10 (left: 5 10)\n5 + 10 = 15 (left: 15)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 428142,
|
|
"prompt_tokens": 1072212,
|
|
"cost": 57.854879999999994
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 4 8 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 4 = 8 (left: 8 8 12)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n",
|
|
"8 - 4 = 4 (left: 4 4 12)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n",
|
|
"12 / 4 = 3 (left: 3 4 8)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
41.0,
|
|
3.0,
|
|
22.0,
|
|
60.0,
|
|
22.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 4 8 12",
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n8 / 4 = 2 (left: 2 4)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n8 + 12 = 20 (left: 16 20)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 - 8 = 4 (left: 4 16)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 - 12 = 4 (left: 4 8)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 - 8 = 8 (left: 8 12)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 + 8 = 12 (left: 8 12)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n8 - 4 = 4 (left: 4 8)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n8 / 4 = 2 (left: 2 8)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n2 + 4 = 6 (left: 6 12)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n12 / 2 = 6 (left: 4 6)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n12 - 2 = 10 (left: 4 10)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n12 - 4 = 8 (left: 2 8)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 * 2 = 8 (left: 8 12)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n8 + 8 = 16 (left: 12 16)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n8 - 8 = 0 (left: 0 12)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n12 - 8 = 4 (left: 4 8)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n8 * 8 = 64 (left: 12 64)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n12 / 8 = 1.5 (left: 1.5 8)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n12 - 8 = 4 (left: 4 8)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n8 / 12 = 0.6667 (left: 0.6667 8)\n",
|
|
"4 + 4 = 8 (left: 8 8 12)\n12 + 8 = 20 (left: 8 20)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
2.001,
|
|
60.0,
|
|
60.0,
|
|
2.001,
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
3.0,
|
|
60.0,
|
|
60.0,
|
|
3.0,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0,
|
|
2.001,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 4 8 12",
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 + 16 = 17.5 (left: 17.5)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n16 / 1.5 = 10.6667 (left: 10.6667)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n16 - 1.5 = 14.5 (left: 14.5)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 * 16 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n8 + 32 = 40 (left: 40)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 / 8 = 4 (left: 4 8)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 8 24)\n",
|
|
"12 - 4 = 8 (left: 4 8 8)\n4 * 8 = 32 (left: 8 32)\n8 * 32 = 256 (left: 256)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.0,
|
|
0.0,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 * 16 = 24 (left: 24)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 4 8 12",
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 * 16 = 24 (left: 24)\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (12 - 8) * 4 + 8 = 24\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 4) * (12 / 8) = 24\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 * 16 = 24 (left: 24)\nAnswer: (4 * 4) * (12 / 8) = 24\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 - 8 / 4) * 12 = 24\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
60.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 4) * (12 / 8) = 24\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 * 16 = 24 (left: 24)\nAnswer: (4 * 4) * (12 / 8) = 24\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 - 8 / 4) * 12 = 24\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 970,
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n16 / 8 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 * 4) * (12 / 8) = 24\n",
|
|
"4 * 4 = 16 (left: 8 12 16)\n12 / 8 = 1.5 (left: 1.5 16)\n1.5 * 16 = 24 (left: 24)\nAnswer: (4 * 4) * (12 / 8) = 24\n",
|
|
"8 / 4 = 2 (left: 2 4 12)\n4 - 2 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 - 8 / 4) * 12 = 24\n",
|
|
"12 - 8 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 2 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 430031,
|
|
"prompt_tokens": 1079693,
|
|
"cost": 58.19264999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 2 6 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 6 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n",
|
|
"6 - 1 = 5 (left: 2 5 10)\n",
|
|
"10 - 2 = 8 (left: 1 6 8)\n",
|
|
"6 - 2 = 4 (left: 1 4 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 2 = 3 (left: 3 6 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 6 10",
|
|
"ys": [
|
|
"1 + 2 = 3 (left: 3 6 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 6 10)\n3 + 6 = 9 (left: 9 10)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 - 3 = 3 (left: 3 10)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n3 * 6 = 18 (left: 10 18)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n10 / 3 = 3.333 (not a whole number, so not a suitable step)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n10 / 6 = 1.666 (not a whole number, so not a suitable step)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n6 - 1 = 5 (left: 5 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 6 = 4 (left: 1 4)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n6 / 1 = 6 (left: 6 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 / 1 = 10 (left: 6 10)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n9 + 2 = 11 (left: 6 11)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n2 * 6 = 12 (left: 9 12)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n",
|
|
"10 - 1 = 9 (left: 2 6 9)\n9 / 2 = 4.5 (left: 6 4.5)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n2 + 6 = 8 (left: 8 10)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n10 - 2 = 8 (left: 6 8)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n10 - 6 = 4 (left: 2 4)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n2 * 6 = 12 (left: 10 12)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 / 2 = 3 (left: 3 10)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n10 / 2 = 5 (left: 5 6)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n1 + 5 = 6 (left: 6 6)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n6 - 5 = 1 (left: 1 1)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n6 / 1 = 6 (left: 5 6)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 + 1 = 6 (left: 6 6)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 6 10",
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"1 + 2 = 3 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n1 + 6 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 6 10",
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 / 2 - 1) * 6 = 24\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3 3)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2 3)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 + 2 = 8 (left: 8 8 14)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 + 8 = 14 (left: 2 8 14)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 + 14 = 20 (left: 2 8 20)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 8 = 48 (left: 2 14 48)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 14 = 84 (left: 2 8 84)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 8 = -2 (left: 2 14 -2)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 14 = -8 (left: 2 8 -8)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 / 6 = 2.333 (left: 2 8 2.333)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 / 6 = 1.333 (left: 2 14 1.333)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 2 = 42 (left: 8 8 14 42)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 8 = 48 (left: 2 8 14 48)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 14 = 54 (left: 2 8 8 54)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 2 = 80 (left: 8 8 14 80)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 8 = 320 (left: 2 14 320)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 2 = 38 (left: 8 8 14 38)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 8 = 32 (left: 2 14 32)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 14 = 26 (left: 2 8 8 26)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 2 = 20 (left: 8 8 14 20)\n",
|
|
"6 / 1 = 6 (left: 2 6 10)\n6 - 2 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 8 = 5 (left: 2 5 14 14)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
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0,
|
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0,
|
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0.002,
|
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0,
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0.003,
|
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0,
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0.003,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
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0,
|
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0
|
|
],
|
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"select_new_ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 / 2 - 1) * 6 = 24\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3 3)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2 3)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 971,
|
|
"ys": [
|
|
"10 / 2 = 5 (left: 1 5 6)\n5 - 1 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 / 2 - 1) * 6 = 24\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3 3)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2 3)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"2 * 1 = 2 (left: 1 6 10)\n10 - 1 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 432988,
|
|
"prompt_tokens": 1086608,
|
|
"cost": 58.57751999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 5 12 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n",
|
|
"12 - 1 = 11 (left: 5 11 12)\n",
|
|
"12 - 5 = 7 (left: 1 7 12)\n",
|
|
"5 + 12 = 17 (left: 1 12 17)\n",
|
|
"5 * 12 = 60 (left: 1 12 60)\n"
|
|
],
|
|
"values": [
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 5 12 12",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n6 + 12 = 18 (left: 12 18)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n4 + 12 = 16 (left: 12 16)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 - 4 = 8 (left: 8 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n4 * 12 = 48 (left: 12 48)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n5 + 12 = 17 (left: 13 17)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 - 5 = 7 (left: 7 13)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n13 - 5 = 8 (left: 8 12)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n13 - 12 = 1 (left: 1 5)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n5 * 12 = 60 (left: 13 60)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n13 / 5 = 2.6 (left: 2.6 12)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n5 + 12 = 17 (left: 12 17)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n5 * 12 = 60 (left: 12 60)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n5 + 12 = 17 (left: 12 17)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 - 5 = 7 (left: 7 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n5 * 12 = 60 (left: 12 60)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 5 12 12",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n13 - 2.4 = 10.6 (left: 10.6)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n13 / 2.4 = 5.42 (left: 5.42)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 + 12 = 14.4 (left: 14.4)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n12 - 2.4 = 9.6 (left: 9.6)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n12 / 2.4 = 5 (left: 5)\n",
|
|
"12 * 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 12 = 28.8 (left: 28.8)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 + 12 = 14.4 (left: 14.4)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n12 / 2.4 = 5 (left: 5)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n12 - 2.4 = 9.6 (left: 9.6)\n",
|
|
"12 / 1 = 12 (left: 5 12 12)\n12 / 5 = 2.4 (left: 2.4 12)\n2.4 * 12 = 28.8 (left: 28.8)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 5 12 12",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 6) = 24\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 14 14 16)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 6 = 12 (left: 2 8 12)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n7 + 6 = 13 (left: 8 8 13)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 10 12)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 6 = 2.33 (left: 2.33 8 8)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 / 6 = 2.67 (left: 2.67 8 14)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 / 6 = 1.33 (left: 1.33 14 16)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 6 = 2.33 (left: 2 2.33 8)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n12 / 6 = 2 (left: 2 8 8)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 3 = 5 (left: 2 5 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 8 = 23 (left: 2 8 14 23)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 8 = 7 (left: 2 7 8 14)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 14 = 29 (left: 2 8 8 29)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 14 = 1 (left: 1 2 8 8)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 * 2 = 72 (left: 8 8 14 72)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 * 8 = 288 (left: 2 8 14 288)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 * 14 = 504 (left: 2 8 8 504)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 2 = 38 (left: 8 8 14 38)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 8 = 44 (left: 2 8 14 44)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 + 14 = 50 (left: 2 8 8 50)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 8 = 4.5 (left: 2 4.5 14 8)\n",
|
|
"5 - 1 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 14 = 2.571428571 (left: 2 8 8 2.571428571)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\nThere is only one number provided, so there are no possible next steps for mathematical operations involving two numbers. However, you can consider some other operations with this single number:\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 * 2 = 30.8 (doubling the number)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 / 2 = 7.7 (halving the number)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 + 1 = 16.4 (adding 1)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4 - 1 = 14.4 (subtracting 1)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\nSquare root of 15.4 \u2248 3.92 (calculating the square root)\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n15.4^2 = 237.16 (squaring the number)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
3.0,
|
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0,
|
|
0,
|
|
0,
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|
0,
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|
0,
|
|
0,
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0,
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0,
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0,
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|
0,
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0,
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0,
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0,
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|
0,
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|
0,
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0,
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0,
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0,
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0,
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0,
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0,
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|
0,
|
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0,
|
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0,
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0,
|
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0,
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|
0,
|
|
0.003,
|
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0,
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|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 10 12)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 6) = 24\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 972,
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 16)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 10 12)\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (1 + 5) * (12 / 6) = 24\n",
|
|
"12 + 1 = 13 (left: 5 12 13)\n12 / 5 = 2.4 (left: 2.4 13)\n2.4 + 13 = 15.4 (left: 15.4)\n\n",
|
|
"1 + 5 = 6 (left: 6 12 12)\n12 / 6 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 438124,
|
|
"prompt_tokens": 1099117,
|
|
"cost": 59.260949999999994
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 6 6 8",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 6 = 11 (left: 6 8 11)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n",
|
|
"5 * 6 = 30 (left: 6 8 30)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 6 6)\n",
|
|
"8 / 6 = 1.333 (left: 1.333 5 6)\n",
|
|
"5 * 8 = 40 (left: 6 6 40)\n",
|
|
"6 * 6 = 36 (left: 5 8 36)\n",
|
|
"6 + 6 = 12 (left: 5 8 12)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 6 = 11 (left: 6 8 11)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 6 6 8",
|
|
"ys": [
|
|
"5 + 6 = 11 (left: 6 8 11)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 + 8 = 14 (left: 11 14)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n8 - 6 = 2 (left: 2 11)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 * 8 = 48 (left: 11 48)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n11 / 6 = 1.83 (left: 1.83 8)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n1 + 6 = 7 (left: 7 8)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 - 1 = 5 (left: 5 8)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n8 - 1 = 7 (left: 6 7)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n8 - 6 = 2 (left: 1 2)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n8 / 6 = 1.33 (left: 1 1.33)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n1.2 + 6 = 7.2 (left: 7.2 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 - 6 = 2 (left: 1.2 2)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 / 1.2 = 5 (left: 5 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 - 1.2 = 6.8 (left: 6 6.8)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n6 / 3 = 2 (left: 2 6)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n6 - 3 = 3 (left: 3 3)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n2 + 5 = 7 (left: 6 7)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n5 * 6 = 30 (left: 2 30)\n",
|
|
"8 - 6 = 2 (left: 2 5 6)\n6 - 5 = 1 (left: 1 2)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 6 6 8",
|
|
"ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 * 18 = 108 (left: 108)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n4.8 + 8 = 12.8 (left: 12.8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n8 - 4.8 = 3.2 (left: 3.2)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n4.8 * 8 = 38.4 (left: 38.4)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n6 - 1.2 = 4.8 (left: 4.8 8)\n8 / 4.8 \u2248 1.67 (left: 1.67)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 + 6.6667 = 12.6667 (left: 12.6667)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 - 6.6667 = -0.6667 (left: -0.6667)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6.6667 - 6 = 0.6667 (left: 0.6667)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 / 6.6667 = 0.9 (left: 0.9)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6.6667 / 6 = 1.1111 (left: 1.1111)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n0.75 + 11 = 11.75 (left: 11.75)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n11 * 0.75 = 8.25 (left: 8.25)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n11 - 0.75 = 10.25 (left: 10.25)\n",
|
|
"5 + 6 = 11 (left: 6 8 11)\n6 / 8 = 0.75 (left: 0.75 11)\n11 / 0.75 = 14.67 (approx.) (left: 14.67)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
1.002,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.001,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 6 6 8",
|
|
"ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (8 - 5) * 6 + 6 = 24\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n10 + 30 = 40 (left: 40)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n8 * 5 = 40 (left: 40)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n20 * 2 = 40 (left: 40)\n",
|
|
"6 / 5 = 1.2 (left: 1.2 6 8)\n8 / 1.2 = 6.6667 (left: 6 6.6667)\n6 * 6.6667 = 40 (left: 40)\n4 * 10 = 40 (left: 40)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (8 - 5) * 6 + 6 = 24\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 973,
|
|
"ys": [
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (8 - 5) * 6 + 6 = 24\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"8 - 5 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"6 - 5 = 1 (left: 1 6 8)\n6 / 1 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 442764,
|
|
"prompt_tokens": 1110549,
|
|
"cost": 59.88230999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "7 7 8 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n",
|
|
"7 * 7 = 49 (left: 8 11 49)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n",
|
|
"11 / 7 \u2248 1.57 (not a whole number, so not a valid step)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n",
|
|
"11 * 7 = 77 (left: 7 8 77)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n",
|
|
"11 + 8 = 19 (left: 7 7 19)\n",
|
|
"11 * 8 = 88 (left: 7 7 88)\n"
|
|
],
|
|
"values": [
|
|
41.0,
|
|
0.003,
|
|
41.0,
|
|
0.003,
|
|
3.0,
|
|
2.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "7 7 8 11",
|
|
"ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n8 + 11 = 19 (left: 14 19)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 8 = 6 (left: 6 11)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n8 * 11 = 88 (left: 14 88)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 / 2 = 7 (left: 7 11)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n4 + 7 = 11 (left: 8 11)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n8 - 4 = 4 (left: 4 7)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n8 - 7 = 1 (left: 1 4)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n4 * 7 = 28 (left: 8 28)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 * 8 = 56 (left: 4 56)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n4 / 7 (not a whole number, not considered)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n8 / 4 = 2 (left: 2 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n1 + 7 = 8 (left: 8 11)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n7 - 1 = 6 (left: 6 11)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 7 = 4 (left: 1 4)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n7 + 1 = 8 (left: 8 11)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 + 1 = 12 (left: 7 12)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n7 * 1 = 7 (left: 1 11) (no change)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 * 1 = 11 (left: 1 7) (no change)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n3 + 7 = 10 (left: 7 10)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n7 - 3 = 4 (left: 4 7)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n3 * 7 = 21 (left: 7 21)\n",
|
|
"11 - 8 = 3 (left: 3 7 7)\n7 / 3 \u2248 2.33 (left: 2.33 7)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n7 + 8 = 15 (left: 15 18)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n8 + 18 = 26 (left: 7 26)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 - 7 = 11 (left: 8 11)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 - 8 = 10 (left: 7 10)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 8 = 2.25 (left: 7 2.25)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n7 * 8 = 56 (left: 18 56)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
60.0,
|
|
0,
|
|
1.002,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
3.0,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "7 7 8 11",
|
|
"ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n14 / 3 = ~4.67 (not a whole number, so not a valid step)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n11 - 8 = 3 (left: 3 14)\n3 * 14 = 42 (left: 42)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n8 - 2.57 = 5.43 (left: 5.43)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n8 / 2.57 \u2248 3.11 (left: 3.11)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.001,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.0
|
|
],
|
|
"select_new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "7 7 8 11",
|
|
"ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 7) * (14 - 11) = 24\n",
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (7 - (11 - 7)) = 24\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n-3 + 10 = 7 (left: 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n10 - (-3) = 13 (left: 13)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n10 + (-3) = 7 (left: 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n-3 * 10 = -30 (left: -30)\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 + 2 = 12.57\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 - 2 = 8.57\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 * 2 = 21.14\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 / 2 = 5.285\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 + 8 = 18.57\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 - 8 = 2.57\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 * 8 = 84.56\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 / 8 = 1.32125\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 + 14 = 24.57\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 - 14 = -3.43\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 * 14 = 147.98\n",
|
|
"11 + 7 = 18 (left: 7 8 18)\n18 / 7 = 2.57 (left: 2.57 8)\n2.57 + 8 = 10.57 (left: 10.57)\n10.57 / 14 = 0.755\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 8 = 88 (left: 2 14 88)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 14 = 154 (left: 2 8 154)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0,
|
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0,
|
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0,
|
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0,
|
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0,
|
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0,
|
|
0,
|
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0,
|
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0,
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0,
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0,
|
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (7 - (11 - 7)) = 24\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 7) * (14 - 11) = 24\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n-3 + 10 = 7 (left: 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n10 + (-3) = 7 (left: 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n10 - (-3) = 13 (left: 13)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 974,
|
|
"ys": [
|
|
"11 - 7 = 4 (left: 4 7 8)\n7 - 4 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 8 * (7 - (11 - 7)) = 24\n",
|
|
"7 + 7 = 14 (left: 8 11 14)\n14 - 11 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (7 + 7) * (14 - 11) = 24\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n-3 + 10 = 7 (left: 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n10 + (-3) = 7 (left: 7)\n",
|
|
"8 - 7 = 1 (left: 1 7 11)\n11 - 1 = 10 (left: 7 10)\n7 - 10 = -3 (left: -3 10)\n10 - (-3) = 13 (left: 13)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 446495,
|
|
"prompt_tokens": 1124929,
|
|
"cost": 60.53757
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 3 7 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n",
|
|
"7 * 10 = 70 (left: 1 3 70)\n",
|
|
"10 - 1 = 9 (left: 3 7 9)\n",
|
|
"10 - 3 = 7 (left: 1 7 7)\n",
|
|
"10 - 7 = 3 (left: 1 3 3)\n",
|
|
"10 / 1 = 10 (left: 3 7 10)\n",
|
|
"10 / 2 = 5 (left: 1 3 5)\n",
|
|
"7 - 3 = 4 (left: 1 4 10)\n",
|
|
"7 - 1 = 6 (left: 3 6 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 3 7 10",
|
|
"ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n4 + 7 = 11 (left: 10 11)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 7 = 3 (left: 3 4)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n4 * 7 = 28 (left: 10 28)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 / 4 = 2.5 (left: 2.5 7)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n1 + 10 = 11 (left: 10 11)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n10 / 1 = 10 (left: 10 10)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n10 - 1 = 9 (left: 9 10)\n",
|
|
"3 + 7 = 10 (left: 1 10 10)\n10 * 1 = 10 (left: 10 10)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n1 + 3 = 4 (left: 4 17)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n3 - 1 = 2 (left: 2 17)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n17 - 1 = 16 (left: 3 16)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n17 - 3 = 14 (left: 1 14)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n17 / 1 = 17 (left: 3 17)\n",
|
|
"7 + 10 = 17 (left: 1 3 17)\n3 * 1 = 3 (left: 3 17)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n3 + 7 = 10 (left: 10 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n10 - 3 = 7 (left: 7 7)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n10 - 7 = 3 (left: 3 3)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n3 * 7 = 21 (left: 10 21)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n10 / 3 = 3.333 (left: 3.333 7)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n1 + 10 = 11 (left: 11 21)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n10 - 1 = 9 (left: 9 21)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n21 - 10 = 11 (left: 1 11)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n21 - 1 = 20 (left: 10 20)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n21 / 1 = 21 (left: 10 21)\n",
|
|
"3 * 7 = 21 (left: 1 10 21)\n10 * 1 = 10 (left: 1 21)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 3 7 10",
|
|
"ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n1.75 + 10 = 11.75 (left: 11.75)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n10 - 1.75 = 8.25 (left: 8.25)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n10 * 1.75 = 17.5 (left: 17.5)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 / 4 = 1.75 (left: 1.75 10)\n10 / 1.75 \u2248 5.71 (left: 5.71)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 + 10 = 12.333 (left: 12.333)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 / 2.333 \u2248 4.286 (left: 4.286)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n3 + 10 = 13 (left: 13)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n10 - 3 = 7 (left: 7)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n3 * 10 = 30 (left: 30)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n7 - 4 = 3 (left: 3 10)\n10 / 3 = 3.33 (left: 3.33)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 + 7 = 13 (left: 13)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 - 7 = -1 (left: -1)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n7 - 6 = 1 (left: 1)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 / 7 (not a whole number)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n7 / 6 (not a whole number)\n"
|
|
],
|
|
"values": [
|
|
0.001,
|
|
0.0,
|
|
0.002,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.0,
|
|
1.002,
|
|
0.0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 3 7 10",
|
|
"ys": [
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n2.333 + 7.667 = 10 (left: 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n7.667 - 2.333 = 5.334 (left: 5.334)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n7.667 / 2.333 \u2248 3.286 (left: 3.286)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n2.333 * 7.667 \u2248 17.889 (left: 17.889)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 8 = 48 (left: 14 16 48)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 + 6 = 12 (left: 2 8 12)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n7 + 6 = 13 (left: 8 8 13)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 + 6 = 20 (left: 8 8 20)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 2 = 42 (left: 8 8 14 42)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 8 = 48 (left: 2 8 14 48)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 14 = 54 (left: 2 8 8 54)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 * 2 = 80 (left: 8 8 14 80)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 2 = 20 (left: 8 8 14 20)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 2 = 38 (left: 8 8 14 38)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 8 = 32 (left: 2 8 14 32)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 14 = 26 (left: 2 8 8 26)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 8 = 5 (left: 2 5 8 14)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 14 \u2248 2.857 (left: 2.857 2 8 8) (not an integer result, so not recommended)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 + 2 = 25.33\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 - 2 = 21.33\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 * 2 = 46.66\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 / 2 = 11.665\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 + 8 = 31.33\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 - 8 = 15.33\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 * 8 = 186.64\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 / 8 = 2.91625\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 + 14 = 37.33\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 - 14 = 9.33\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 * 14 = 326.62\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n2.333 * 10 = 23.33 (left: 23.33)\n23.33 / 14 = 1.66642857\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n42 + 2 = 44 (left: 8 8 14 44)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n42 - 2 = 40 (left: 8 8 14 40)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n42 / 2 = 21 (left: 8 8 14 21)\n",
|
|
"1 + 3 = 4 (left: 4 7 10)\n10 - 4 = 6 (left: 6 7)\n6 * 7 = 42 (left: 42)\n42 * 2 = 84 (left: 8 8 14 84)\n"
|
|
],
|
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"values": [
|
|
0.0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0
|
|
],
|
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"select_new_ys": [
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n2.333 + 7.667 = 10 (left: 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n7.667 - 2.333 = 5.334 (left: 5.334)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n7.667 / 2.333 \u2248 3.286 (left: 3.286)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n2.333 * 7.667 \u2248 17.889 (left: 17.889)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 975,
|
|
"ys": [
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n2.333 + 7.667 = 10 (left: 10)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n7.667 - 2.333 = 5.334 (left: 5.334)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n7.667 / 2.333 \u2248 3.286 (left: 3.286)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 / 3 = 2.333 (left: 2.333 10)\n10 - 2.333 = 7.667 (left: 2.333 7.667)\n2.333 * 7.667 \u2248 17.889 (left: 17.889)\n",
|
|
"1 * 3 = 3 (left: 3 7 10)\n7 - 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 451348,
|
|
"prompt_tokens": 1139230,
|
|
"cost": 61.25778
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 3 9 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 3 = 6 (left: 6 9 12)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n",
|
|
"9 / 3 = 3 (left: 3 3 12)\n",
|
|
"12 - 9 = 3 (left: 3 3 9)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 3 = 6 (left: 6 9 12)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 3 9 12",
|
|
"ys": [
|
|
"3 + 3 = 6 (left: 6 9 12)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 3 = 6 (left: 6 9 12)\n6 + 9 = 15 (left: 12 15)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 / 6 = 2 (left: 2 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 9 = 3 (left: 3 6)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 / 9 = 1.333 (left: 1.333 6)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n9 + 9 = 18 (left: 12 18)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n9 * 9 = 81 (left: 12 81)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 - 9 = 3 (left: 3 9)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 + 9 = 21 (left: 9 21)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n3 + 9 = 12 (left: 9 12)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n9 / 3 = 3 (left: 3 9)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n9 * 3 = 27 (left: 9 27)\n",
|
|
"12 - 3 = 9 (left: 3 9 9)\n9 - 3 = 6 (left: 6 9)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n3 + 6 = 9 (left: 9 12)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 - 3 = 9 (left: 6 9)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 6 = 2 (left: 2 3)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 * 3 = 18 (left: 12 18)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n3 * 6 = 18 (left: 12 18)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n4 + 9 = 13 (left: 9 13)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n9 - 4 = 5 (left: 5 9)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n4 * 9 = 36 (left: 9 36)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n9 / 4 = 2.25 (left: 2.25 9)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n9 * 9 = 81 (left: 4 81)\n",
|
|
"12 / 3 = 4 (left: 4 9 9)\n9 + 9 = 18 (left: 4 18)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 3 9 12",
|
|
"ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 / 6 = 0.67 (left: 0.67) (if considering decimals)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5) (if considering decimals)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n4/3 + 9 = 31/3 (left: 31/3)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 * 4/3 = 12 (left: 12)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n4/3 * 9 = 12 (left:12)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 3 9 12",
|
|
"ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 + 3 = 26 (left: 26)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 - 3 = 20 (left: 20)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 * 3 = 69 (left: 69)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 / 3 = 7.6667 (left: 7.6667)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n3 - 23 = -20 (left: -20)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n3 / 23 = 0.1304 (left: 0.1304)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n"
|
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],
|
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"values": [
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60.0,
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60.0,
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0.002,
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0.003,
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0.001,
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0,
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0,
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0,
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0.002,
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0.002,
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0,
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0,
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0,
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0.002,
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0
|
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],
|
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"select_new_ys": [
|
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"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 - 3 = 20 (left: 20)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 + 3 = 26 (left: 26)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 976,
|
|
"ys": [
|
|
"9 - 3 = 6 (left: 3 6 12)\n6 / 3 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24\n",
|
|
"9 - 3 = 6 (left: 3 6 12)\n12 / 3 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (9 - 3) * (12 / 3) = 24\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 - 3 = 20 (left: 20)\n",
|
|
"3 * 3 = 9 (left: 9 9 12)\n12 / 9 = 4/3 (left: 4/3 9)\n9 - 4/3 = 23/3 (left: 23/3)\n23 + 3 = 26 (left: 26)\n",
|
|
"3 + 3 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n"
|
|
],
|
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"infos": [
|
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{
|
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"r": 1
|
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},
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{
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"r": 1
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},
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{
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"r": 0
|
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},
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{
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"r": 0
|
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},
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{
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"r": 0
|
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}
|
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],
|
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"usage_so_far": {
|
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"completion_tokens": 453478,
|
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"prompt_tokens": 1146498,
|
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"cost": 61.60362
|
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}
|
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},
|
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{
|
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"steps": [
|
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{
|
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"step": 0,
|
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"x": "3 5 7 10",
|
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"ys": [
|
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""
|
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],
|
|
"new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n",
|
|
"5 * 7 = 35 (left: 3 10 35)\n",
|
|
"3 * 7 = 21 (left: 5 10 21)\n",
|
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"10 - 3 = 7 (left: 5 7 7)\n",
|
|
"10 - 5 = 5 (left: 3 7 5)\n",
|
|
"10 - 7 = 3 (left: 3 5 5)\n",
|
|
"7 - 3 = 4 (left: 4 5 10)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n"
|
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],
|
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"values": [
|
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60.0,
|
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3.0,
|
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3.0,
|
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3.0,
|
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1.002,
|
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3.0,
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3.0,
|
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3.0,
|
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3.0,
|
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3.0,
|
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41.0
|
|
],
|
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"select_new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n"
|
|
]
|
|
},
|
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{
|
|
"step": 1,
|
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"x": "3 5 7 10",
|
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"ys": [
|
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"3 + 5 = 8 (left: 7 8 10)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n7 + 8 = 15 (left: 10 15)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n8 - 7 = 1 (left: 1 10)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 8 = 2 (left: 2 7)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n7 * 8 = 56 (left: 10 56)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 / 2 = 5 (left: 5 7)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n2 + 3 = 5 (left: 5 10)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n3 * 2 = 6 (left: 6 10)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 / 2 = 5 (left: 3 5)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 3 = 7 (left: 2 7)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 / 3 = 3.33 (left: 2 3.33) (not an integer result, might not be relevant)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n3 - 2 = 1 (left: 1 10)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n3 + 10 = 13 (left: 12 13)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n10 + 12 = 22 (left: 3 22)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 - 3 = 9 (left: 9 10)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n10 - 3 = 7 (left: 7 12)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n3 * 10 = 30 (left: 12 30)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n3 + 5 = 8 (left: 8 17)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n5 + 17 = 22 (left: 3 22)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 + 3 = 20 (left: 5 20)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n3 * 5 = 15 (left: 15 17)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n5 * 17 = 85 (left: 3 85)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 * 3 = 51 (left: 5 51)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 3 = 14 (left: 5 14)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n5 - 3 = 2 (left: 2 17)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n7 + 10 = 17 (left: 15 17)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n10 + 15 = 25 (left: 7 25)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 - 7 = 8 (left: 8 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n10 - 7 = 3 (left: 3 15)\n"
|
|
],
|
|
"values": [
|
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2.001,
|
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0.003,
|
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60.0,
|
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0.003,
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0.003,
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1.002,
|
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1.002,
|
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2.001,
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0.003,
|
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0.003,
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60.0,
|
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0.003,
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0.003,
|
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1.002,
|
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0.003,
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1.002,
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1.002,
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3.0,
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0.003,
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2.001,
|
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0.003,
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0.003,
|
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0.003,
|
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0.003,
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0.003,
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1.002,
|
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3.0,
|
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0.003,
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0.003,
|
|
0.003,
|
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2.001,
|
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3.0,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 5 7 10",
|
|
"ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n8 / 3 (left: 2.67)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"5 + 7 = 12 (left: 3 10 12)\n12 / 3 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"7 + 10 = 17 (left: 3 5 17)\n17 - 5 = 12 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n10 - 5 = 5 (left: 5 7)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n10 - 7 = 3 (left: 3 5)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n10 / 5 = 2 (left: 2 7)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n10 / 7 = 1.42857 (left: 1.42857 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
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0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 5 7 10",
|
|
"ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 + 5) * (10 - 7) = 24\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (10 - (7 - 5)) = 24\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n1.4 + 10 = 11.4 (left: 11.4)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n10 - 1.4 = 8.6 (left: 8.6)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n10 / 1.4 \u2248 7.14 (left: 7.14)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 / 5 = 1.4 (left: 1.4 10)\n1.4 * 10 = 14 (left: 14)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n10 + 12 = 22 (left: 22)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n10 * 12 = 120 (left: 120)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 + 5) * (10 - 7) = 24\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (10 - (7 - 5)) = 24\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 977,
|
|
"ys": [
|
|
"3 + 5 = 8 (left: 7 8 10)\n10 - 7 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (3 + 5) * (10 - 7) = 24\n",
|
|
"7 - 5 = 2 (left: 2 3 10)\n10 - 2 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (10 - (7 - 5)) = 24\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n12 - 10 = 2 (left: 2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n5 + 7 = 12 (left: 10 12)\n12 / 10 = 1.2 (left: 1.2 10)\n",
|
|
"3 * 5 = 15 (left: 7 10 15)\n15 / 3 = 5 (left: 5 7 10)\n7 - 5 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 457440,
|
|
"prompt_tokens": 1157068,
|
|
"cost": 62.15844
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 10 12 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 10 = 14 (left: 12 13 14)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n",
|
|
"12 - 10 = 2 (left: 2 4 13)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 12 13)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 10 12 13",
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 + 4 = 7 (left: 7 12)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n4 - 3 = 1 (left: 1 12)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n8 + 10 = 18 (left: 13 18)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n10 + 13 = 23 (left: 8 23)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n8 * 10 = 80 (left: 13 80)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 * 8 = 104 (left: 10 104)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n10 * 13 = 130 (left: 8 130)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n6 + 12 = 18 (left: 13 18)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n12 - 6 = 6 (left: 6 13)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n13 - 6 = 7 (left: 7 12)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n13 - 12 = 1 (left: 1 6)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n12 / 6 = 2 (left: 2 13)\n",
|
|
"10 - 4 = 6 (left: 6 12 13)\n6 * 12 = 72 (left: 13 72)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n9 + 10 = 19 (left: 12 19)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n10 - 9 = 1 (left: 1 12)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 - 9 = 3 (left: 3 10)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 - 10 = 2 (left: 2 9)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n9 * 10 = 90 (left: 12 90)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 10 = 1.2 (left: 1.2 9)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n3 + 10 = 13 (left: 13 13)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n10 - 3 = 7 (left: 7 13)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 - 3 = 10 (left: 10 10)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 - 10 = 3 (left: 3 3)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n3 * 10 = 30 (left: 13 30)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n10 / 3 = 3.33 (approx.) (left: 3.33 13)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 10 12 13",
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n8 / 3 \u2248 2.67 (left: 2.67)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n1.625 + 10 = 11.625 (left: 11.625)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n1.625 * 10 = 16.25 (left: 16.25)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n10 - 1.625 = 8.375 (left: 8.375)\n",
|
|
"12 - 4 = 8 (left: 8 10 13)\n13 / 8 = 1.625 (left: 1.625 10) - Not a valid step if only considering whole numbers.\n10 / 1.625 = 6.153846153846153 (left: 6.153846153846153)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n4.33 + 10 = 14.33 (left: 14.33)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n4.33 * 10 = 43.3 (left: 43.3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n10 + 4/3 = 34/3 (left: 34/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n10 - 4/3 = 26/3 (left: 26/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n10 * 4/3 = 40/3 (left: 40/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n10 / (4/3) = 30/4 = 15/2 (left: 15/2)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) + 10 = 34/3 (left: 34/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) - 10 = -26/3 (left: -26/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) * 10 = 40/3 (left: 40/3)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.001,
|
|
0.0,
|
|
1.002,
|
|
0.001,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0.0,
|
|
0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 10 12 13",
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 10) * 4 + 12 = 24\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n2 * 15 = 30 (left: 30)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 - 2 = 13 (left: 13)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 + 2 = 17 (left: 17)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 / 2 = 7.5 (left: 7.5)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n2 - 15 = -13 (left: -13)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n4.33 + 5.67 = 10 (left: 10)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n5.67 - 4.33 = 1.34 (left: 1.34 4.33)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n4.33 * 5.67 = 24.54 (left: 24.54)\n",
|
|
"12 / 4 = 3 (left: 3 10 13)\n13 / 3 = 4.33 (approx.) (left: 4.33 10)\n10 - 4.33 = 5.67 (left: 4.33 5.67)\n5.67 / 4.33 = 1.31 (left: 1.31 4.33)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n2 * 72 = 144 (left: 8 8 72)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n8 * 18 = 144 (left: 2 8 18)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n8 * 9 * 2 = 144 (left: 8 9)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n14 * 2 * 2 = 112 (left: 8 8 112)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n14 * 8 = 112 (left: 2 8 112)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n8 * 8 = 64 (left: 2 14 64)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n2 * 72 = 144 (left: 8 8 72)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n14 * 8 = 112 (left: 2 8 112)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n8 * 18 = 144 (left: 2 8 18)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
2.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 10) * 4 + 12 = 24\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n8 * 9 * 2 = 144 (left: 8 9)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 + 2 = 17 (left: 17)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 / 2 = 7.5 (left: 7.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 978,
|
|
"ys": [
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (13 - 10) * 4 + 12 = 24\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n8 * 9 * 2 = 144 (left: 8 9)\n",
|
|
"13 - 10 = 3 (left: 3 4 12)\n12 - 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (13 - 10) * (12 - 4) = 24\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 + 2 = 17 (left: 17)\n",
|
|
"13 - 4 = 9 (left: 9 10 12)\n12 / 9 = 4/3 (left: 10 4/3)\n(4/3) / 10 = 4/30 = 2/15 (left: 2/15)\n15 / 2 = 7.5 (left: 7.5)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 461631,
|
|
"prompt_tokens": 1168018,
|
|
"cost": 62.7384
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 10 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n",
|
|
"12 - 2 = 10 (left: 3 10 10)\n",
|
|
"12 / 2 = 6 (left: 3 6 10)\n",
|
|
"12 - 10 = 2 (left: 2 3 2)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"10 + 2 = 12 (left: 3 12 12)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 10 12",
|
|
"ys": [
|
|
"10 + 2 = 12 (left: 3 12 12)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 + 12 = 15 (left: 12 15)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n12 / 3 = 4 (left: 4 12)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n12 - 3 = 9 (left: 9 12)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n5 + 10 = 15 (left: 12 15)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 - 5 = 7 (left: 7 10)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 - 10 = 2 (left: 2 5)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n5 * 10 = 50 (left: 12 50)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n6 + 10 = 16 (left: 12 16)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 - 6 = 4 (left: 4 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n12 - 6 = 6 (left: 6 10)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n12 - 10 = 2 (left: 2 6)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n12 / 6 = 2 (left: 2 10)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n3 + 8 = 11 (left: 11 12)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n8 - 3 = 5 (left: 5 12)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n12 - 8 = 4 (left: 3 4)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n12 - 3 = 9 (left: 8 9)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n12 / 3 = 4 (left: 4 8)\n",
|
|
"10 - 2 = 8 (left: 3 8 12)\n3 * 8 = 24 (left: 12 24)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n3 + 5 = 8 (left: 8 12)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n5 + 12 = 17 (left: 3 17)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n12 - 3 = 9 (left: 5 9)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n3 * 5 = 15 (left: 12 15)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n5 * 12 = 60 (left: 3 60)\n",
|
|
"10 / 2 = 5 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
40.001,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
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0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 10 12",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 + 10 = 12.4 (left: 12.4)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n10 - 2.4 = 7.6 (left: 7.6)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 * 10 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n10 / 2.4 \u2248 4.17 (left: 4.17)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n12 + 36 = 48 (left: 48)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n12 * 3 = 36 (left: 36 36)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n36 - 12 = 24 (left: 12 24)\n",
|
|
"10 + 2 = 12 (left: 3 12 12)\n3 * 12 = 36 (left: 12 36)\n36 / 12 = 3 (left: 3 36)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n5/3 + 12 = 41/3 (left: 41/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 - 5 = 5 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 * 10 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 10 12",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 * 10 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 * 10 = 24 (left: 24)\nAnswer: (2 + 3) * (12 / (2 + 3)) * 10 = 24\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 + 3) * (10 / (2 + 3)) * 12 = 24\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(5/3) + (31/3) = 36/3 = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(31/3) - (5/3) = 26/3 (left: 26/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(5/3) * (31/3) = 155/9 (left: 155/9)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(31/3) / (5/3) = 31/5 (left: 31/5)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n5/3 + 20 = 65/3 (left: 65/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n20 - 5/3 = 55/3 (left: 55/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n20 * 5/3 = 100/3 (left: 100/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 * 5/3 = 20 (left: 5/3 20)\n5/3 * 20 = 100/3 (left: 100/3)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(5/3) + (36/5) = 97/15 (left: 97/15)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(5/3) - (36/5) = -23/15 (left: -23/15)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(36/5) - (5/3) = 23/15 (left: 23/15)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(5/3) * (36/5) = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(5/3) / (36/5) = 25/108 (left: 25/108)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(36/5) / (5/3) = 108/25 (left: 108/25)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 * 10 = 24 (left: 24)\nAnswer: (2 + 3) * (12 / (2 + 3)) * 10 = 24\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 + 3) * (10 / (2 + 3)) * 12 = 24\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(5/3) + (31/3) = 36/3 = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(5/3) * (36/5) = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(31/3) - (5/3) = 26/3 (left: 26/3)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 979,
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 5 10 12)\n12 / 5 = 2.4 (left: 2.4 10)\n2.4 * 10 = 24 (left: 24)\nAnswer: (2 + 3) * (12 / (2 + 3)) * 10 = 24\n",
|
|
"2 + 3 = 5 (left: 5 10 12)\n10 / 5 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (2 + 3) * (10 / (2 + 3)) * 12 = 24\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(5/3) + (31/3) = 36/3 = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 / (5/3) = 36/5 (left: 5/3 36/5)\n(5/3) * (36/5) = 12 (left: 12)\n",
|
|
"3 * 2 = 6 (left: 6 10 12)\n10 / 6 = 5/3 (left: 5/3 12)\n12 - 5/3 = 31/3 (left: 5/3 31/3)\n(31/3) - (5/3) = 26/3 (left: 26/3)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
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{
|
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"r": 0
|
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},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 466342,
|
|
"prompt_tokens": 1181537,
|
|
"cost": 63.426629999999996
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "3 4 6 6",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 6 6 7)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n",
|
|
"6 - 3 = 3 (left: 3 4 6)\n",
|
|
"6 - 4 = 2 (left: 2 3 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
22.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 4 6 6",
|
|
"ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n3 + 6 = 9 (left: 9 24)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n6 / 3 = 2 (left: 2 24)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 6 = 4 (left: 3 4)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 - 3 = 21 (left: 6 21)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 - 6 = 18 (left: 3 18)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n3 * 6 = 18 (left: 18 24)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n6 * 3 = 18 (left: 18 24)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n6 - 6 = 0 (left: 0 7)\n",
|
|
"3 + 4 = 7 (left: 6 6 7)\n6 / 6 = 1 (left: 1 7)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n1 + 6 = 7 (left: 6 7)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n6 / 1 = 6 (left: 6 6)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n6 - 1 = 5 (left: 5 6)\n",
|
|
"4 - 3 = 1 (left: 1 6 6)\n6 * 1 = 6 (left: 6 6)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n2 + 4 = 6 (left: 6 6)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n4 / 2 = 2 (left: 2 6)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n6 - 2 = 4 (left: 4 4)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n6 / 2 = 3 (left: 3 4)\n",
|
|
"6 / 3 = 2 (left: 2 4 6)\n4 - 2 = 2 (left: 2 6)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
40.001,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 4 6 6",
|
|
"ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 / 2 = 3 (left: 3 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n12 + 36 = 48 (left: 48)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n12 * 3 = 36 (left: 36 36)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n36 / 12 = 3 (left: 3 36)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 * 6 = 36 (left: 12 36)\n36 - 12 = 24 (left: 12 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 * 6 = 36 (left: 6 36)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 - 6 = 0 (left: 0 6)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n8 - 6 = 2 (left: 2)\n",
|
|
"4 * 6 = 24 (left: 3 6 24)\n24 / 3 = 8 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
2.001,
|
|
1.002,
|
|
60.0,
|
|
3.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 4 6 6",
|
|
"ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * 4) + (6 + 6) = 24\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 + 12 = 18 (left: 18)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n6 * 12 = 72 (left: 72)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n8 - 6 = 2 (left: 2)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 + 6 = 8 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * 4) + (6 + 6) = 24\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 980,
|
|
"ys": [
|
|
"3 * 4 = 12 (left: 6 6 12)\n6 + 6 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * 4) + (6 + 6) = 24\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n6 - 2 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 - 6 = 6 (left: 6 6 6)\n6 + 6 = 12 (left: 6 12)\n12 - 6 = 6 (left: 6 6)\n",
|
|
"3 * 4 = 12 (left: 6 6 12)\n12 / 6 = 2 (left: 2 6 6)\n2 * 6 = 12 (left: 6 12)\n12 / 6 = 2 (left: 2 6)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 467928,
|
|
"prompt_tokens": 1186361,
|
|
"cost": 63.66651
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 8 8 8",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 8 = 13 (left: 8 8 13)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n",
|
|
"8 - 5 = 3 (left: 3 8 8)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
3.0,
|
|
0,
|
|
0.003,
|
|
3.0,
|
|
1.001,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 8 8 8",
|
|
"ys": [
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n8 - 1.6 = 6.4 (left: 6.4 8)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n8 / 1.6 = 5 (left: 5 8)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 * 8 = 12.8 (left: 8 12.8)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n1 + 5 = 6 (left: 6 8)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n5 - 1 = 4 (left: 4 8)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n8 - 1 = 7 (left: 5 7)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n8 - 5 = 3 (left: 1 3)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n5 * 1 = 5 (left: 5 8)\n",
|
|
"8 / 8 = 1 (left: 1 5 8)\n8 / 1 = 8 (left: 5 8)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n-3 + 8 = 5 (left: 5 8)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n8 - (-3) = 11 (left: 11 8)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n-3 * 8 = -24 (left: -24 8)\n",
|
|
"5 - 8 = -3 (left: -3 8 8)\n8 / (-3) = -2.67 (left: -2.67 8)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 + 8 = 13 (left: 13 64)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n8 - 5 = 3 (left: 3 64)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n64 / 8 = 8 (left: 5 8)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n64 / 5 = 12.8 (left: 8 12.8)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n64 - 8 = 56 (left: 5 56)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n64 - 5 = 59 (left: 8 59)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 / 8 = 5 (left: 5 8)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 + 8 = 48 (left: 8 48)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 8 8 8",
|
|
"ys": [
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 + 64 = 104 (left: 104)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n64 - 40 = 24 (left: 24 40)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n64 / 40 = 1.6 (left: 1.6 40)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n16 + 40 = 56 (left: 56)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n16 - 40 = -24 (left: -24)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n16 * 40 = 640 (left: 640)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 / 16 = 2.5 (left: 2.5)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 + 64 = 104 (left: 104)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n64 - 40 = 24 (left: 24 40)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n64 / 40 = 1.6 (left: 1.6 40)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n8 + 32 = 40 (left: 40)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n8 * 32 = 256 (left: 256)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 / 8 = 4 (left: 4)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n8 + 9.6 = 17.6 (left: 17.6)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n8 * 9.6 = 76.8 (left: 76.8)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 / 8 = 1.2 (left: 1.2 8)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.002,
|
|
0.002,
|
|
60.0,
|
|
2.001,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
3.0,
|
|
0.0,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 8 8 8",
|
|
"ys": [
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\nAnswer: (5 * 8) - (8 + 8) = 24\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (5 * 8) - 8 - 8 = 24\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 2 = 1280 (left: 1280)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 8 = 320 (left: 320)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 16 = 160 (left: 160)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 4 = 640 (left: 640)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 - 2 = 2558 (left: 2558)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 - 8 = 2552 (left: 2552)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 - 14 = 2546 (left: 2546)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 + 2 = 2562 (left: 8 8 14 2562)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 - 2 = 2558 (left: 8 8 14 2558)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 2 = 1280 (left: 8 8 14 1280)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 * 2 = 5120 (left: 8 8 14 5120)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 + 8 = 2568 (left: 2 14 2568)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 - 8 = 2552 (left: 2 14 2552)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 8 = 320 (left: 2 14 320)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 * 8 = 20480 (left: 2 14 20480)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 + 14 = 2574 (left: 2 8 2574)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 - 14 = 2546 (left: 2 8 2546)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 14 = 182.857 (left: 2 8 182.857)\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 * 8 = 64 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 * 14 = 35840 (left: 2 8 35840)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n1.6 + 8 = 9.6 (left: 9.6)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n8 - 1.6 = 6.4 (left: 6.4)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n8 / 1.6 = 5 (left: 5)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 8 8)\n1.6 + 8 = 9.6 (left: 8 9.6)\n9.6 - 8 = 1.6 (left: 1.6 8)\n1.6 * 8 = 12.8 (left: 12.8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
2.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0.0,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\nAnswer: (5 * 8) - (8 + 8) = 24\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (5 * 8) - 8 - 8 = 24\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 4 = 640 (left: 640)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 16 = 160 (left: 160)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 2 = 1280 (left: 1280)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 981,
|
|
"ys": [
|
|
"5 * 8 = 40 (left: 8 8 40)\n8 + 8 = 16 (left: 16 40)\n40 - 16 = 24 (left: 24)\nAnswer: (5 * 8) - (8 + 8) = 24\n",
|
|
"5 * 8 = 40 (left: 8 8 40)\n40 - 8 = 32 (left: 8 32)\n32 - 8 = 24 (left: 24)\nAnswer: (5 * 8) - 8 - 8 = 24\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 4 = 640 (left: 640)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 16 = 160 (left: 160)\n",
|
|
"8 * 8 = 64 (left: 5 8 64)\n5 * 8 = 40 (left: 40 64)\n40 * 64 = 2560 (left: 2560)\n2560 / 2 = 1280 (left: 1280)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 475227,
|
|
"prompt_tokens": 1203905,
|
|
"cost": 64.63076999999998
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "6 8 8 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"6 + 8 = 14 (left: 8 12 14)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n",
|
|
"12 + 6 = 18 (left: 8 8 18)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n",
|
|
"8 - 6 = 2 (left: 2 8 12)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n",
|
|
"12 / 6 = 2 (left: 2 8 8)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
22.0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
22.0,
|
|
0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "6 8 8 12",
|
|
"ys": [
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 * 8 \u2248 10.64 (left: 10.64 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 8 = 4 (left: 1.33 4)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n6 + 4 = 10 (left: 8 10)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n4 * 6 = 24 (left: 8 24)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 6 = 2 (left: 2 4)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n6 / 4 = 1.5 (left: 1.5 8)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 / 6 = 1.333 (left: 1.333 4)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n4 / 6 = 0.666 (left: 0.666 8)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 / 4 = 2 (left: 2 6)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n6 + 8 = 14 (left: 8 14)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n6 * 8 = 48 (left: 8 48)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n8 / 6 = 1.33 (left: 1.33 8) (approximate value)\n",
|
|
"12 - 6 = 6 (left: 6 8 8)\n8 * 6 = 48 (left: 8 48)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n8 + 12 = 20 (left: 20 48)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n12 / 8 = 1.5 (left: 1.5 48)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n48 - 8 = 40 (left: 12 40)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n48 / 8 = 6 (left: 6 12)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n48 - 12 = 36 (left: 8 36)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n8 * 12 = 96 (left: 48 96)\n",
|
|
"6 * 8 = 48 (left: 8 12 48)\n12 * 8 = 96 (left: 48 96)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n8 + 12 = 20 (left: 14 20)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n12 + 14 = 26 (left: 8 26)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n14 - 8 = 6 (left: 6 12)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n12 - 8 = 4 (left: 4 14)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n14 / 8 = 1.75 (left: 1.75 12)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n12 / 8 = 1.5 (left: 1.5 14)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n14 * 8 = 112 (left: 12 112)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n12 * 8 = 96 (left: 14 96)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n8 - 12 = -4 (left: -4 14)\n",
|
|
"6 + 8 = 14 (left: 8 12 14)\n12 - 14 = -2 (left: -2 8)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "6 8 8 12",
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n9.33 + 12 = 21.33 (left: 21.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n9.33 * 12 = 111.96 (left: 111.96)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 / 9.33 = 1.286 (left: 1.286 9.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n6.67 + 12 = 18.67 (left: 18.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n6.67 * 12 = 80.04 (left: 80.04)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n8 + 10.67 = 18.67 (left: 18.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n8 * 10.67 = 85.36 (left: 85.36)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 / 8 = 1.33375 (left: 1.33375 8)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n8 + 9.02 = 17.02 (left: 17.02)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n9.02 - 8 = 1.02 (left: 1.02 8)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n9.02 / 8 = 1.1275 (left: 1.1275 8)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 / 1.33 \u2248 9.02 (left: 8 9.02)\n8 * 9.02 = 72.16 (left: 72.16)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
3.0,
|
|
0.001,
|
|
0.003,
|
|
0.0,
|
|
3.0,
|
|
0.002,
|
|
1.002,
|
|
0.0,
|
|
3.0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "6 8 8 12",
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (12 - 8)) = 24\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n2.67 + 9.33 = 12 (left: 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n9.33 - 2.67 = 6.66 (left: 6.66)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n2.67 * 9.33 \u2248 24.91 (left: 24.91)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n9.33 / 2.67 \u2248 3.49 (left: 3.49)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n5.33 + 6.67 = 12 (left: 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n6.67 - 5.33 = 1.34 (left: 1.34 5.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n5.33 * 6.67 = 35.54 (left: 35.54)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n6.67 / 5.33 = 1.25 (left: 1.25 5.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n2.67 + 8 = 10.67 (left: 10.67)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n8 - 2.67 = 5.33 (left: 5.33)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n8 / 2.67 \u2248 3 (left: 3)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n12 - 1.33 = 10.67 (left: 8 10.67)\n10.67 - 8 = 2.67 (left: 2.67 8)\n2.67 * 8 = 21.36 (left: 21.36)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n1.8 + 6.67 = 8.47 (left: 8.47)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n6.67 - 1.8 = 4.87 (left: 4.87)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n1.8 * 6.67 = 12.006 (left: 12.006)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 / 6.67 = 1.8 (left: 1.8 6.67)\n6.67 / 1.8 = 3.705 (left: 3.705)\n"
|
|
],
|
|
"values": [
|
|
40.001,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (12 - 8)) = 24\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n2.67 + 9.33 = 12 (left: 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n5.33 + 6.67 = 12 (left: 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n9.33 - 2.67 = 6.66 (left: 6.66)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n2.67 * 9.33 \u2248 24.91 (left: 24.91)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 982,
|
|
"ys": [
|
|
"12 - 8 = 4 (left: 6 4 8)\n8 - 4 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (8 - (12 - 8)) = 24\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n2.67 + 9.33 = 12 (left: 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n8 - 1.33 = 6.67 (left: 6.67 12)\n12 - 6.67 = 5.33 (left: 5.33 6.67)\n5.33 + 6.67 = 12 (left: 12)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n9.33 - 2.67 = 6.66 (left: 6.66)\n",
|
|
"8 / 6 = 1.33 (left: 1.33 8 12) *not a whole number, so not valid\n1.33 + 8 = 9.33 (left: 9.33 12)\n12 - 9.33 = 2.67 (left: 2.67 9.33)\n2.67 * 9.33 \u2248 24.91 (left: 24.91)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 483332,
|
|
"prompt_tokens": 1225233,
|
|
"cost": 65.75690999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 4 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 4 5 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n",
|
|
"2 * 3 = 6 (left: 4 6 9)\n",
|
|
"4 / 2 = 2 (left: 2 3 9)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n",
|
|
"9 - 4 = 5 (left: 2 3 5)\n",
|
|
"9 - 3 = 6 (left: 2 4 6)\n",
|
|
"4 * 2 = 8 (left: 3 8 9)\n",
|
|
"3 * 2 = 6 (left: 4 6 9)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 4 9",
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 + 4 = 6 (left: 3 6)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n4 - 2 = 2 (left: 2 3)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 + 2 = 5 (left: 4 5)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n4 + 3 = 7 (left: 2 7)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n4 / 2 = 2 (left: 2 3)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n4 + 5 = 9 (left: 9 9)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n9 - 4 = 5 (left: 5 5)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n9 - 5 = 4 (left: 4 4)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n4 * 5 = 20 (left: 9 20)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 * 9 = 45 (left: 4 45)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n9 / 4 = 2.25 (left: 2.25 5)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 / 4 = 1.25 (left: 1.25 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n4 - 1 = 3 (left: 3 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n9 - 4 = 5 (left: 1 5)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n9 - 1 = 8 (left: 4 8)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n4 * 1 = 4 (left: 4 9)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n9 / 1 = 9 (left: 4 9)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n2 + 3 = 5 (left: 5 9)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n9 - 2 = 7 (left: 3 7)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n9 - 3 = 6 (left: 2 6)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n9 / 3 = 3 (left: 2 3)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n2 * 3 = 6 (left: 6 9)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 * 9 = 27 (left: 2 27)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n4 - 3 = 1 (left: 1 7)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n7 - 3 = 4 (left: 4 4)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n7 - 4 = 3 (left: 3 3)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n3 * 4 = 12 (left: 7 12)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n4 / 3 = 1.33 (left: 1.33 7)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n7 / 3 = 2.33 (left: 4 2.33)\n",
|
|
"9 - 2 = 7 (left: 3 4 7)\n7 / 4 = 1.75 (left: 3 1.75)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 4 9",
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 / 6 = 0.67 (left: 0.67)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n4 + 14 = 18 (left: 18)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n14 - 4 = 10 (left: 10)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n14 / 4 = 3.5 (left: 3.5)\n",
|
|
"2 + 3 = 5 (left: 4 5 9)\n5 + 9 = 14 (left: 4 14)\n4 * 14 = 56 (left: 56)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4 5)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"3 - 2 = 1 (left: 1 4 9)\n1 + 4 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
60.0,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 4 9",
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 / 3) * (2 * 4) = 24\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 / 3) * 2 = 24\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 - 2) * (3 + 9) = 24\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 8 8 14 5.5)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n2 - 11 = -9 (left: 8 8 14 -9)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n8 - 11 = -3 (left: 2 8 14 -3)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n14 - 11 = 3 (left: 2 8 8 3)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 + 6 = 14 (left: 14 14 16)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 6 = 12 (left: 2 8 12)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n7 + 6 = 13 (left: 8 8 13)\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n12 + 6 = 18 (left: 8 8 18)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 / 3) * (2 * 4) = 24\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 / 3) * 2 = 24\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 - 2) * (3 + 9) = 24\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 983,
|
|
"ys": [
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (9 / 3) * (2 * 4) = 24\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n3 * 2 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 / 3) * 2 = 24\n",
|
|
"4 - 2 = 2 (left: 2 3 9)\n3 + 9 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 - 2) * (3 + 9) = 24\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"9 / 3 = 3 (left: 2 4 3)\n2 * 4 = 8 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 485778,
|
|
"prompt_tokens": 1232387,
|
|
"cost": 66.11829
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 6 7 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n",
|
|
"11 - 6 = 5 (left: 2 5 7)\n",
|
|
"11 / 2 = 5.5 (not an integer, not a valid step)\n",
|
|
"11 - 2 = 9 (left: 6 7 9)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 6 7 11",
|
|
"ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 - 7 = 4 (left: 4 8)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 - 8 = 3 (left: 3 7)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n7 * 8 = 56 (left: 11 56)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 * 11 = 88 (left: 7 88)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 7 \u2248 1.57 (left: 1.57 8)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n3 + 7 = 10 (left: 10 11)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n7 - 3 = 4 (left: 4 11)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 - 3 = 8 (left: 7 8)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 - 7 = 4 (left: 3 4)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n3 * 7 = 21 (left: 11 21)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n6 + 7 = 13 (left: 13 13)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n7 - 6 = 1 (left: 1 13)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n6 * 7 = 42 (left: 13 42)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n13 - 7 = 6 (left: 6 6)\n",
|
|
"11 + 2 = 13 (left: 6 7 13)\n13 - 6 = 7 (left: 7 7)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n7 + 11 = 18 (left: 12 18)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 - 7 = 4 (left: 4 12)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n12 - 7 = 5 (left: 5 11)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n12 - 11 = 1 (left: 1 7)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 / 7 = 1.571 (left: 1.571 12)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n12 / 7 = 1.714 (left: 1.714 11)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n12 / 11 = 1.091 (left: 1.091 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n4 + 7 = 11 (left: 11 11)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n7 - 4 = 3 (left: 3 11)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 - 7 = 4 (left: 4 4)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 - 4 = 7 (left: 7 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n4 * 7 = 28 (left: 11 28)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n7 / 4 = 1.75 (left: 1.75 11)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 / 7 = 1.571 (left: 1.571 12)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 6 7 11",
|
|
"ys": [
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 / 7 = 1.571 (left: 1.571 12)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n3.67 + 7 = 10.67 (left: 10.67)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n3.67 * 7 = 25.69 (left: 25.69)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n7 - 3.67 = 3.33 (left: 3.33)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n7 / 3.67 \u2248 1.91 (left: 1.91)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 / 7 = 1.571 (left: 1.571 12)\n1.571 + 12 = 13.571 (left: 13.571)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 / 7 = 1.571 (left: 1.571 12)\n12 - 1.571 = 10.429 (left: 10.429)\n",
|
|
"2 * 6 = 12 (left: 7 11 12)\n11 / 7 = 1.571 (left: 1.571 12)\n12 / 1.571 \u2248 7.635 (left: 7.635)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n19 - 7 = 12 (left: 12)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n19 / 7 \u2248 2.71 (left: 2.71)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 * 19 = 133 (left: 133)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n1.375 + 7 = 8.375 (left: 8.375)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n1.375 * 7 \u2248 9.625 (left: 9.625)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n2.75 + 7 = 9.75 (left: 9.75)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 - 2.75 = 4.25 (left: 4.25)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n2.75 * 7 = 19.25 (left: 19.25)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0.0,
|
|
0.002,
|
|
0.0,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
1.002,
|
|
0.003,
|
|
0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.001
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n7 - 3.67 = 3.33 (left: 3.33)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 6 7 11",
|
|
"ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n7 - 3.67 = 3.33 (left: 3.33)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n1.375 + 5.625 = 7 (left: 7)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n5.625 - 1.375 = 4.25 (left: 4.25)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n5.625 / 1.375 = 4.0909 (left: 4.0909)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n1.375 * 5.625 = 7.734375 (left: 7.734375)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 + 2.55 = 5.1 (left: 5.1)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 * 2 = 5.1 (left: 5.1)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 - 2.55 = 0 (left: 0)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 / 2.55 = 1 (left: 1)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n1.375 + 5.091 = 6.466 (left: 6.466)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n5.091 - 1.375 = 3.716 (left: 3.716)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n1.375 * 5.091 = 7.000625 (left: 7.000625)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 / 1.375 \u2248 5.091 (left: 1.375 5.091)\n5.091 / 1.375 = 3.702545 (left: 3.702545)\n",
|
|
"6 / 2 = 3 (left: 3 7 11)\n11 / 3 \u2248 3.67 (left: 3.67 7)\n7 - 3.67 = 3.33 (left: 3.33)\nThere are no possible next steps with a single input value. Please provide at least two numbers for possible operations.\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n26 + 2 = 28 (left: 8 8 14 28)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n26 - 2 = 24 (left: 8 8 14 24)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n26 / 2 = 13 (left: 8 8 14 13)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n8 + 11 = 19 (left: 7 19)\n7 + 19 = 26 (left: 26)\n26 * 2 = 52 (left: 8 8 14 52)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n1.375 + 5.625 = 7 (left: 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 / 2.55 = 1 (left: 1)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 - 2.55 = 0 (left: 0)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n5.625 - 1.375 = 4.25 (left: 4.25)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n5.625 / 1.375 = 4.0909 (left: 4.0909)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 984,
|
|
"ys": [
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n1.375 + 5.625 = 7 (left: 7)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 / 2.55 = 1 (left: 1)\n",
|
|
"6 - 2 = 4 (left: 4 7 11)\n11 / 4 = 2.75 (left: 2.75 7)\n7 / 2.75 \u2248 2.55 (left: 2.55)\n2.55 - 2.55 = 0 (left: 0)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n5.625 - 1.375 = 4.25 (left: 4.25)\n",
|
|
"2 + 6 = 8 (left: 7 8 11)\n11 / 8 \u2248 1.375 (left: 1.375 7)\n7 - 1.375 = 5.625 (left: 1.375 5.625)\n5.625 / 1.375 = 4.0909 (left: 4.0909)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 490053,
|
|
"prompt_tokens": 1244912,
|
|
"cost": 66.75054
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 9 12 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n",
|
|
"12 / 9 = 1.333 (left: 1.333 5 12)\n",
|
|
"5 * 9 = 45 (left: 12 12 45)\n",
|
|
"12 * 5 = 60 (left: 9 12 60)\n",
|
|
"12 * 9 = 108 (left: 5 12 108)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 9 12 12",
|
|
"ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n12 + 12 = 24 (left: 14 24)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n12 * 12 = 144 (left: 14 144)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 + 12 = 26 (left: 12 26)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 / 12 = 1.17 (left: 1.17 12) [note: this is an approximate value]\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n4 + 12 = 16 (left: 12 16)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 - 4 = 8 (left: 8 12)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n4 * 12 = 48 (left: 12 48)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n7 + 9 = 16 (left: 12 16)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n12 - 7 = 5 (left: 5 9)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n12 - 9 = 3 (left: 3 7)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n12 / 3 = 4 (left: 4 9)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 * 7 = 63 (left: 12 63)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n7 * 12 = 84 (left: 9 84)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n12 / 2.4 = 5 (left: 5 9)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 9 = 3 (left: 2.4 3)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n12 - 2.4 = 9.6 (left: 9 9.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 * 2.4 = 21.6 (left: 12 21.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 / 2.4 = 3.75 (left: 3.75 12)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n3 + 5 = 8 (left: 8 12)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n5 + 12 = 17 (left: 3 17)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n12 - 3 = 9 (left: 5 9)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n12 - 5 = 7 (left: 3 7)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n12 / 3 = 4 (left: 4 5)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n3 * 5 = 15 (left: 12 15)\n",
|
|
"12 - 9 = 3 (left: 3 5 12)\n5 * 12 = 60 (left: 3 60)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 9 12 12",
|
|
"ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"9 - 5 = 4 (left: 4 12 12)\n12 / 4 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 + 12 = 23.4 (left: 23.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 + 12 = 18.6 (left: 18.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 - 6.6 = 5.4 (left: 5.4 6.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n6.6 * 12 = 79.2 (left: 79.2)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
2.001,
|
|
2.0,
|
|
0.0,
|
|
1.002,
|
|
0.001,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 9 12 12",
|
|
"ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (5 + 9 - 12) * 12 = 24\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 5) * (9 - (12 - 5)) = 24\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n0.6 + 11.4 = 12 (left: 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n11.4 - 0.6 = 10.8 (left: 10.8)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n11.4 / 0.6 = 19 (left: 19)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n0.6 * 11.4 = 6.84 (left: 6.84)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n1.81818181818 + 6.6 = 8.41818181818 (left: 8.41818181818)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n1.81818181818 - 6.6 = -4.78181818182 (left: -4.78181818182)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n6.6 - 1.81818181818 = 4.78181818182 (left: 4.78181818182)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n6.6 / 1.81818181818 \u2248 3.63 (left: 3.63)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n9 - 2.4 = 6.6 (left: 6.6 12)\n12 / 6.6 = 1.81818181818 (left: 1.81818181818 6.6)\n1.81818181818 * 6.6 \u2248 12.0 (left: 12.0)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n-0.6 + 12 = 11.4 (left: 11.4)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n12 - (-0.6) = 12.6 (left: 12.6)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n12 / (-0.6) = -20 (left: -20)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n11.4 - 12 = -0.6 (left: -0.6 12)\n-0.6 * 12 = -7.2 (left: -7.2)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (5 + 9 - 12) * 12 = 24\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 5) * (9 - (12 - 5)) = 24\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n0.6 + 11.4 = 12 (left: 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n11.4 / 0.6 = 19 (left: 19)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n11.4 - 0.6 = 10.8 (left: 10.8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 985,
|
|
"ys": [
|
|
"5 + 9 = 14 (left: 12 12 14)\n14 - 12 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (5 + 9 - 12) * 12 = 24\n",
|
|
"12 - 5 = 7 (left: 7 9 12)\n9 - 7 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (12 - 5) * (9 - (12 - 5)) = 24\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n0.6 + 11.4 = 12 (left: 12)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n11.4 / 0.6 = 19 (left: 19)\n",
|
|
"12 / 5 = 2.4 (left: 2.4 9 12)\n2.4 + 9 = 11.4 (left: 11.4 12)\n12 - 11.4 = 0.6 (left: 0.6 11.4)\n11.4 - 0.6 = 10.8 (left: 10.8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 495219,
|
|
"prompt_tokens": 1259912,
|
|
"cost": 67.5105
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 2 7 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 2 = 3 (left: 3 7 12)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n",
|
|
"2 * 7 = 14 (left: 1 12 14)\n",
|
|
"7 * 12 = 84 (left: 1 2 84)\n",
|
|
"1 - 2 = -1 (left: -1 7 12)\n",
|
|
"2 - 7 = -5 (left: 1 -5 12)\n",
|
|
"7 - 12 = -5 (left: 1 2 -5)\n",
|
|
"12 - 7 = 5 (left: 1 2 5)\n",
|
|
"7 / 1 = 7 (left: 2 7 12)\n",
|
|
"12 / 2 = 6 (left: 1 6 7)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
3.0,
|
|
41.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 2 7 12",
|
|
"ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n2 - 1 = 1 (left: 1 12)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 2 = 6 (left: 1 6)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 - 2 = 10 (left: 1 10)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 - 1 = 11 (left: 2 11)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n3 + 7 = 10 (left: 10 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n7 - 3 = 4 (left: 4 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 7 = 5 (left: 3 5)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 / 3 = 4 (left: 4 7)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 / 7 = 1.71 (approx, not a whole number, so not included)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n3 * 7 = 21 (left: 12 21)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n1 + 9 = 10 (left: 10 12)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n12 / 1 = 12 (left: 9 12)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n12 - 1 = 11 (left: 9 11)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n12 - 9 = 3 (left: 1 3)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n1 + 2 = 3 (left: 3 19)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n1 * 2 = 2 (left: 2 19)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 + 1 = 20 (left: 2 20)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 2 = 17 (left: 1 17)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 / 1 = 19 (left: 2 19)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n2 + 7 = 9 (left: 9 12)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n7 - 2 = 5 (left: 5 12)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n12 - 2 = 10 (left: 7 10)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n12 - 7 = 5 (left: 2 5)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n12 / 2 = 6 (left: 6 7)\n",
|
|
"1 * 2 = 2 (left: 2 7 12)\n7 * 2 = 14 (left: 12 14)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0,
|
|
1.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 2 7 12",
|
|
"ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 - 9 = -2 (left: -2)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n9 - 7 = 2 (left: 2)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n9 / 7 = 1.2857 (left: 1.2857)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 / 9 = 0.7778 (left: 0.7778)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n12 - 8 = 4 (left: 4)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n8 * 12 = 96 (left: 96)\n",
|
|
"2 + 7 = 9 (left: 1 9 12)\n9 - 1 = 8 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n2 + 18 = 20 (left: 20)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n18 - 2 = 16 (left: 16)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n18 / 2 = 9 (left: 9)\n",
|
|
"7 + 12 = 19 (left: 1 2 19)\n19 - 1 = 18 (left: 2 18)\n2 * 18 = 36 (left: 36)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 2 7 12",
|
|
"ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 1) = 24\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 8 14 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 14 = 20 (left: 8 8 20)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 8 = 48 (left: 14 14 48)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 6 = 2.33 (left: 2.33 8 8)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 8 = 23 (left: 2 8 14 23)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 + 14 = 29 (left: 2 8 8 29)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 * 8 = 120 (left: 2 14 120)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 2 = 13 (left: 13 8 8 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 8 = 7 (left: 2 7 8 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 - 14 = 1 (left: 1 2 8 8)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 2 = 7.5 (left: 7.5 8 8 14) (if only integers are allowed, ignore this step)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 8 = 1.875 (left: 1.875 2 8 14) (if only integers are allowed, ignore this step)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n15 / 14 = 1.0714 (left: 1.0714 2 8 8) (if only integers are allowed, ignore this step)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 8 = 4.5 (left: 4.5 8 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 14 = 2.571428571 (left: 2 8 8 2.571428571)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 8 = 28 (left: 2 14 28)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n1 + 2 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n36 / 18 = 2 (left: 2 8 8 14 2)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 + 2 = 65 (left: 8 8 14 65)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 2 = 61 (left: 8 8 14 61)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 3 = 21 (left: 8 8 14 21)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 * 2 = 126 (left: 8 8 14 126)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 7 = 9 (left: 8 8 14 9)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 8 = 55 (left: 2 8 14 55)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 - 14 = 49 (left: 2 8 8 49)\n",
|
|
"1 + 2 = 3 (left: 3 7 12)\n12 - 3 = 9 (left: 7 9)\n7 * 9 = 63 (left: 63)\n63 / 9 = 7 (left: 7 8 8 14)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0,
|
|
0,
|
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0,
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0,
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0,
|
|
0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 1) = 24\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 8 14 14)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 986,
|
|
"ys": [
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: 2 * (12 / 1) = 24\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n16 + 6 = 22 (left: 8 8 22)\n",
|
|
"12 / 1 = 12 (left: 1 2 12)\n12 / 1 = 12 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 8 14 14)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 501541,
|
|
"prompt_tokens": 1272389,
|
|
"cost": 68.26413
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 4 5 6",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n",
|
|
"5 - 2 = 3 (left: 3 4 6)\n",
|
|
"4 - 2 = 2 (left: 2 5 6)\n",
|
|
"5 - 4 = 1 (left: 1 2 6)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 4 5 6",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 + 6 = 11 (left: 6 11)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n6 / 5 = 1.2 (left: 1.2 6)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 + 5 = 7 (left: 6 7)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n5 - 2 = 3 (left: 3 6)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n6 - 2 = 4 (left: 4 5)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n5 / 2 = 2.5 (left: 2.5 6)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n6 / 2 = 3 (left: 3 5)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 + 5 = 9 (left: 4 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n5 - 4 = 1 (left: 1 4)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 / 4 = 1 (left: 1 5)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n5 / 4 = 1.25 (left: 1.25 4)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 + 4 = 7 (left: 5 7)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n4 - 3 = 1 (left: 1 5)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n5 - 3 = 2 (left: 2 4)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n5 - 4 = 1 (left: 1 3)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n5 + 3 = 8 (left: 4 8)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 / 4 (not a whole number)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n4 / 3 (not a whole number)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n5 / 3 (not a whole number)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n5 / 4 (not a whole number)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n6 - 4 = 2 (left: 2 7)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n7 - 6 = 1 (left: 1 4)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 * 6 = 24 (left: 7 24)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n6 / 4 = 1.5 (left: 1.5 7)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n7 / 4 = 1.75 (left: 1.75 6)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 4 5 6",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 + 20 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n20 - 4 = 16 (left: 16)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n20 / 4 = 5 (left: 5)\n",
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 * 20 = 80 (left: 80)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 + 10 = 16 (left: 16)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n10 - 6 = 4 (left: 4)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n10 / 6 = 1.67 (left: 1.67)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 + 2 = 7 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 + 20 = 24 (left: 24)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 4 5 6",
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 + 20 = 24 (left: 24)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n"
|
|
],
|
|
"new_ys": [
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 + 20 = 24 (left: 24)\nAnswer: (6 - 2) * 5 + 4 = 24\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 8 74)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 * 8 = 480 (left: 2 8 14 480)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 * 14 = 840 (left: 2 8 8 840)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 14)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 / 14 = 4.2857 (left: 2 8 8 4.2857)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 8 = 7.5 (left: 2 7.5 8 14)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 14 = 4.2857 (left: 2 8 8 4.2857)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n2 * 30 = 60 (left: 8 8 14 30)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 * 7.5 = 60 (left: 2 8 14 7.5)\n",
|
|
"6 / 2 = 3 (left: 3 4 5)\n3 * 4 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 * 4.2857 = 60 (left: 2 8 8 4.2857)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n2 + 36 = 38 (left: 8 8 14 38)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n8 + 36 = 44 (left: 2 8 14 44)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n14 + 36 = 50 (left: 2 8 8 50)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 8 = 4.5 (not an integer)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 14 = 2.5714285714285716 (not an integer)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n6 + 24 = 30 (left: 30)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n24 / 6 = 4 (left: 4 6)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n24 - 6 = 18 (left: 6 18)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n6 * 24 = 144 (left: 144)\n"
|
|
],
|
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"values": [
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60.0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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60.0,
|
|
60.0,
|
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0.003
|
|
],
|
|
"select_new_ys": [
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 + 20 = 24 (left: 24)\nAnswer: (6 - 2) * 5 + 4 = 24\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n24 / 6 = 4 (left: 4 6)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n24 - 6 = 18 (left: 6 18)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n6 * 24 = 144 (left: 144)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 987,
|
|
"ys": [
|
|
"6 - 2 = 4 (left: 4 5 4)\n4 * 5 = 20 (left: 4 20)\n4 + 20 = 24 (left: 24)\nAnswer: (6 - 2) * 5 + 4 = 24\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n24 / 6 = 4 (left: 4 6)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n24 - 6 = 18 (left: 6 18)\n",
|
|
"2 + 4 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 6 24)\n6 * 24 = 144 (left: 144)\n",
|
|
"4 / 2 = 2 (left: 2 5 6)\n2 * 5 = 10 (left: 6 10)\n6 * 10 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
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"r": 0
|
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},
|
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{
|
|
"r": 0
|
|
}
|
|
],
|
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"usage_so_far": {
|
|
"completion_tokens": 504568,
|
|
"prompt_tokens": 1280130,
|
|
"cost": 68.67797999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 5 8 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 5 = 10 (left: 8 10 13)\n",
|
|
"5 * 5 = 25 (left: 8 13 25)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n",
|
|
"8 + 5 = 13 (left: 5 13 13)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n",
|
|
"13 / 5 = 2.6 (left: 2.6 5 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
60.0,
|
|
3.0,
|
|
60.0,
|
|
1.002,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 5 = 10 (left: 8 10 13)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 5 8 13",
|
|
"ys": [
|
|
"5 + 5 = 10 (left: 8 10 13)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"5 + 5 = 10 (left: 8 10 13)\n8 + 10 = 18 (left: 13 18)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 + 13 = 23 (left: 8 23)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n8 * 10 = 80 (left: 13 80)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 * 8 = 104 (left: 10 104)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 * 13 = 130 (left: 8 130)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n5 + 8 = 13 (left: 8 13)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n5 * 8 = 40 (left: 8 40)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n3 + 5 = 8 (left: 8 13)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n5 + 13 = 18 (left: 3 18)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n13 + 3 = 16 (left: 5 16)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n3 * 5 = 15 (left: 13 15)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n13 * 3 = 39 (left: 5 39)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n13 - 3 = 10 (left: 5 10)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n13 / 3 = ~4.33 (left: ~4.33 5)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n5 - 3 = 2 (left: 2 13)\n",
|
|
"8 - 5 = 3 (left: 3 5 13)\n5 / 3 = ~1.67 (left: ~1.67 13)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n5 + 8 = 13 (left: 13 18)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n8 - 5 = 3 (left: 3 18)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n18 - 5 = 13 (left: 8 13)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n18 - 8 = 10 (left: 5 10)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n18 / 5 = 3.6 (left: 3.6 8)\n",
|
|
"13 + 5 = 18 (left: 5 8 18)\n5 * 8 = 40 (left: 18 40)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n1.6 + 5 = 6.6 (left: 6.6 13)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n5 - 1.6 = 3.4 (left: 3.4 13)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n13 - 5 = 8 (left: 1.6 8)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n13 - 1.6 = 11.4 (left: 5 11.4)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n5 * 1.6 = 8 (left: 8 13)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n13 / 5 = 2.6 (left: 1.6 2.6)\n",
|
|
"8 / 5 = 1.6 (left: 1.6 5 13)\n13 / 1.6 = 8.125 (left: 5 8.125)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
1.002,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 5 8 13",
|
|
"ys": [
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 / 3 \u2248 2.67 (left: 2.67)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n5 + 10 = 15 (left: 13 15)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n10 - 5 = 5 (left: 5 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 - 5 = 8 (left: 8 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 - 10 = 3 (left: 3 5)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n10 / 5 = 2 (left: 2 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n3 + 8 = 11 (left: 10 11)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 - 3 = 5 (left: 5 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n10 - 3 = 7 (left: 7 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n10 - 8 = 2 (left: 2 3)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n3 * 8 = 24 (left: 10 24)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n10 + 3 = 13 (left: 8 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n10 / 3 = 3.33 (approx.) (left: 3.33 8)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n2 + 13 = 15 (left: 13 15)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 / 2 = 6.5 (left: 6.5 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n2 * 13 = 26 (left: 13 26)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n1.6 + 8 = 9.6 (left: 9.6)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n8 - 1.6 = 6.4 (left: 6.4)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 / 5 = 1.6 (left: 1.6 8)\n8 / 1.6 = 5 (left: 5)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
0.0,
|
|
60.0,
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
1.002,
|
|
60.0,
|
|
3.0,
|
|
0.003,
|
|
0.0,
|
|
0,
|
|
0.0
|
|
],
|
|
"select_new_ys": [
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 5 8 13",
|
|
"ys": [
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (13 - 5) = 24\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 - (13 - 5)) = 24\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n2.6 + 10 = 12.6 (left: 12.6)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n10 - 2.6 = 7.4 (left: 7.4)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n10 / 2.6 \u2248 3.85 (left: 3.85)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 8 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) (if decimals are allowed)\n2.6 * 10 = 26 (left: 26)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n2.67 + 10 = 12.67 (left: 12.67)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n10 - 2.67 = 7.33 (left: 7.33)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n2.67 * 10 = 26.7 (left: 26.7)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n13 - 10 = 3 (left: 3 8 10)\n8 / 3 = 2.67 (approx.) (left: 2.67 10)\n10 / 2.67 \u2248 3.75 (left: 3.75)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (13 - 5) = 24\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 - (13 - 5)) = 24\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 988,
|
|
"ys": [
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n8 * 3 = 24 (left: 24)\nAnswer: 8 * (13 - 5) = 24\n",
|
|
"13 - 5 = 8 (left: 5 8 8)\n8 - 5 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: 3 * (8 - (13 - 5)) = 24\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"5 + 5 = 10 (left: 8 10 13)\n10 - 8 = 2 (left: 2 13 13)\n13 - 2 = 11 (left: 11 13)\n11 * 13 = 143 (left: 143)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 510206,
|
|
"prompt_tokens": 1294014,
|
|
"cost": 69.43278
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 3 3 10",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n",
|
|
"10 / 2 = 5 (left: 3 3 5)\n",
|
|
"3 / 2 = 1.5 (left: 1.5 3 10) (if decimals are allowed)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 3 3 10",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 + 10 = 15 (left: 3 15)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n10 - 3 = 7 (left: 5 7)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n10 - 5 = 5 (left: 3 5)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n10 / 5 = 2 (left: 2 3)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n3 - 1 = 2 (left: 2 10)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n10 - 1 = 9 (left: 3 9)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n10 - 3 = 7 (left: 1 7)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n10 / 1 = 10 (left: 3 10)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n10 / 3 = 3.33 (left: 1 3.33)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n3 * 1 = 3 (left: 3 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n2 + 3 = 5 (left: 5 7)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n3 + 7 = 10 (left: 2 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 + 2 = 9 (left: 3 9)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n2 * 3 = 6 (left: 6 7)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n3 * 7 = 21 (left: 2 21)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 - 2 = 5 (left: 3 5)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 - 3 = 4 (left: 2 4)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n3 - 2 = 1 (left: 1 7)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n3 + 3 = 6 (left: 6 8)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n3 * 3 = 9 (left: 8 9)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n8 - 3 = 5 (left: 3 5)\n",
|
|
"10 - 2 = 8 (left: 3 3 8)\n8 / 3 = 2.67 (left: 2.67 3)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n3 + 6 = 9 (left: 9 10)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n6 - 3 = 3 (left: 3 10)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n10 - 3 = 7 (left: 6 7)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n10 - 6 = 4 (left: 3 4)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n6 / 3 = 2 (left: 2 10)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n10 / 3 = 3.333 (left: 3.333 6)\n",
|
|
"3 * 2 = 6 (left: 3 6 10)\n10 / 6 = 1.666 (left: 3 1.666)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
3.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 3 3 10",
|
|
"ys": [
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 + 10 = 14 (left: 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 / 4 = 2.5 (left: 2.5)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n14 / 3 = ~4.67 (not a whole number, so not a valid operation)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n14 - 3 = 11 (left: 11)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n14 * 3 = 42 (left: 42)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 - 14 = -11 (not a valid operation, as we generally consider only positive numbers)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n8 + 10 = 18 (left: 18)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n8 * 10 = 80 (left: 80)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n5 - 3 = 2 (left: 2 10)\n10 * 2 = 20 (left: 20)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n10 - 15 = -5 (left: -5)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n15 - 10 = 5 (left: 5)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n10 * 15 = 150 (left: 150)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n15 / 10 = 1.5 (left: 1.5)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 * 5 = 15 (left: 10 15)\n10 / 15 = 0.6667 (left: 0.6667)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.001,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 3 3 10",
|
|
"ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 * 8 = 10 (left: 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 - 1.25 = 6.75 (left: 6.75)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n8 / 1.25 = 6.4 (left: 6.4)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n10 + 6 = 16 (left: 8 14 16)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n4 + 6 = 10 (left: 8 10 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 + 6 = 14 (left: 10 14 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 + 6 = 20 (left: 8 8 20)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n16 + 6 = 22 (left: 8 14 22)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 * 2 = 12 (left: 8 12 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 - 2 = 4 (left: 4 8 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 - 6 = 8 (left: 8 8 8)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n2 * 6 = 12 (left: 8 12 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n8 / 6 = 4/3 (left: 4/3 8 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n14 / 6 = 7/3 (left: 2 8 7/3)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n10 - 4 = 6 (left: 6)\n6 / 2 = 3 (left: 3 8 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 2 = 20 (left: 8 8 14 20)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 8 = 5 (left: 2 5 8 14)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 14 = 26 (left: 2 8 8 26)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 2 = 38 (left: 8 8 14 38)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 - 8 = 32 (left: 2 8 14 32)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 / 14 = 2.857 (left: 2 2.857 8 8) (not an integer result, might not be suitable)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 2 = 42 (left: 8 8 14 42)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 8 = 48 (left: 2 8 14 48)\n",
|
|
"3 - 2 = 1 (left: 1 3 10)\n1 + 3 = 4 (left: 4 10)\n4 * 10 = 40 (left: 40)\n40 + 14 = 54 (left: 2 8 8 54)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 8 = 25 (left: 2 8 14 25)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 8 31)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 8 = 9 (left: 2 8 14 9)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 - 14 = 3 (left: 2 8 8 3)\n",
|
|
"10 - 3 = 7 (left: 2 3 7)\n7 * 2 = 14 (left: 3 14)\n3 + 14 = 17 (left: 17)\n17 / 2 (not possible, not a whole number)\n"
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],
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"values": [
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0,
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0.0,
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0,
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0,
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0,
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0,
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0
|
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],
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"select_new_ys": [
|
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"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 * 8 = 10 (left: 10)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 989,
|
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"ys": [
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 - 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 + 8 = 9.25 (left: 9.25)\n",
|
|
"2 + 3 = 5 (left: 3 5 10)\n3 + 5 = 8 (left: 8 10)\n10 / 8 = 1.25 (left: 1.25 8)\n1.25 * 8 = 10 (left: 10)\n"
|
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],
|
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"infos": [
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{
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"r": 0
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},
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{
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{
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"r": 0
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},
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{
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"r": 0
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},
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{
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}
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],
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"usage_so_far": {
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"prompt_tokens": 1301713,
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"cost": 69.89354999999999
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}
|
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},
|
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{
|
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"steps": [
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{
|
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"step": 0,
|
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"x": "3 4 8 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"3 + 4 = 7 (left: 7 8 12)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n",
|
|
"12 / 4 = 3 (left: 3 8 8)\n",
|
|
"8 - 3 = 5 (left: 4 5 12)\n",
|
|
"12 - 4 = 8 (left: 3 8 8)\n"
|
|
],
|
|
"values": [
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3.0,
|
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3.0,
|
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60.0,
|
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60.0,
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3.0,
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0,
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3.0,
|
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0
|
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],
|
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"select_new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "3 4 8 12",
|
|
"ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n8 - 4 = 4 (left: 4 4)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 + 4 = 7 (left: 7 12)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n4 + 12 = 16 (left: 3 16)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n12 - 3 = 9 (left: 4 9)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n12 / 3 = 4 (left: 4 4)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n4 * 12 = 48 (left: 3 48)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n12 + 3 = 15 (left: 4 15)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n7 + 8 = 15 (left: 12 15)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n8 + 12 = 20 (left: 7 20)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 - 7 = 5 (left: 5 8)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n7 * 8 = 56 (left: 12 56)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n8 - 7 = 1 (left: 1 12)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 - 8 = 4 (left: 4 7)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n8 + 12 = 20 (left: 12 20)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 - 8 = 4 (left: 4 12)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 * 8 = 96 (left: 96)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n3 + 4 = 7 (left: 4 7)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n4 / 3 = 1.33 (left: 1.33 4)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n4 - 3 = 1 (left: 1 4)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n3 * 4 = 12 (left: 4 12)\n",
|
|
"12 - 8 = 4 (left: 3 4 4)\n4 / 4 = 1 (left: 1 3)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
60.0,
|
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0.003,
|
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1.002,
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0.003,
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1.002,
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0.003,
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60.0,
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0.003,
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1.002,
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0.003,
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3.0,
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0.003,
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0.003,
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0.003,
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3.0,
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0.001,
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0.003,
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0.003,
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0.003,
|
|
0.003,
|
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0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "3 4 8 12",
|
|
"ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 * 16 = 128 (left: 128)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 - 12 = 0 (left: 0 12)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 * 12 = 144 (left: 144)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 / 12 = 1 (left: 1 12)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n7 - 6 = 1 (left: 1 8)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n8 - 6 = 2 (left: 2 7)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n8 - 7 = 1 (left: 1 6)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 * 7 = 42 (left: 8 42)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n7 * 8 = 56 (left: 6 56)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 * 8 = 48 (left: 7 48)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n1.5 + 12 = 13.5 (left: 13.5)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n12 / 1.5 = 8 (left: 8)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n12 - 1.5 = 10.5 (left: 10.5)\n",
|
|
"4 * 3 = 12 (left: 8 12 12)\n12 / 8 = 1.5 (left: 1.5 12)\n1.5 * 12 = 18 (left: 18)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 + 4 = 8 (left: 8 8)\n8 / 8 = 1 (left: 1 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
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2.001,
|
|
0.003,
|
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0.003,
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|
0.003,
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0.003,
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|
0.003,
|
|
0.003,
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|
0.0,
|
|
0,
|
|
0.003,
|
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0,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "3 4 8 12",
|
|
"ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (12 / 3) * 4 + 8 = 24\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) + 12 = 24\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 / 8 = 1 (left: 1 8)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 / 8 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (12 / 3) * 4 + 8 = 24\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) + 12 = 24\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 990,
|
|
"ys": [
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n8 + 16 = 24 (left: 24)\nAnswer: (12 / 3) * 4 + 8 = 24\n",
|
|
"8 - 4 = 4 (left: 3 4 12)\n3 * 4 = 12 (left: 12 12)\n12 + 12 = 24 (left: 24)\nAnswer: (3 * (8 - 4)) + 12 = 24\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"3 + 4 = 7 (left: 7 8 12)\n12 / 2 = 6 (left: 6 7 8)\n6 + 7 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\n",
|
|
"12 / 3 = 4 (left: 4 4 8)\n4 * 4 = 16 (left: 8 16)\n16 - 8 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 515791,
|
|
"prompt_tokens": 1307518,
|
|
"cost": 70.173
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 4 6 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n",
|
|
"4 * 2 = 8 (left: 6 8 11)\n",
|
|
"11 - 4 = 7 (left: 2 6 7)\n",
|
|
"11 - 6 = 5 (left: 2 4 5)\n",
|
|
"6 / 2 = 3 (left: 3 4 11)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 4 6 11",
|
|
"ys": [
|
|
"2 + 4 = 6 (left: 6 6 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 6 11)\n6 + 6 = 12 (left: 11 12)\n",
|
|
"2 + 4 = 6 (left: 6 6 11)\n6 * 6 = 36 (left: 11 36)\n",
|
|
"2 + 4 = 6 (left: 6 6 11)\n11 + 6 = 17 (left: 6 17)\n",
|
|
"2 + 4 = 6 (left: 6 6 11)\n11 - 6 = 5 (left: 5 6)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n6 - 2 = 4 (left: 4 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 6 = 5 (left: 2 5)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 * 6 = 12 (left: 11 12)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n6 / 2 = 3 (left: 3 11)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n6 - 4 = 2 (left: 2 9)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 * 6 = 24 (left: 9 24)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n9 - 4 = 5 (left: 5 6)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n9 - 6 = 3 (left: 3 4)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n6 / 4 = 1.5 (left: 1.5 9)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n9 / 4 = 2.25 (left: 2.25 6)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n9 / 6 = 1.5 (left: 1.5 4)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 + 8 = 14 (left: 11 14)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n8 - 6 = 2 (left: 2 11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 6 = 5 (left: 5 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 * 8 = 48 (left: 11 48)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n8 * 11 = 88 (left: 6 88)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n4 + 4 = 8 (left: 8 11)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n4 * 4 = 16 (left: 11 16)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n11 - 4 = 7 (left: 4 7)\n",
|
|
"6 - 2 = 4 (left: 4 4 11)\n11 / 4 = 2.75 (left: 2.75 4)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 4 6 11",
|
|
"ys": [
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n3 + 8 = 11 (left: 11 11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n8 - 3 = 5 (left: 5 11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 8 = 3 (left: 3 3)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n3 * 8 = 24 (left: 11 24)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n8 + 11 = 19 (left: 19)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n8 * 11 = 88 (left: 88)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n9 + 10 = 19 (left: 19)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n9 - 10 = -1 (left: -1)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n10 - 9 = 1 (left: 1)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n9 * 10 = 90 (left: 90)\n",
|
|
"11 - 2 = 9 (left: 4 6 9)\n4 + 6 = 10 (left: 9 10)\n10 / 9 = 1.11 (approx.) (left: 1.11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n11 - 8 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
2.001,
|
|
0.002,
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.001,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 4 6 11",
|
|
"ys": [
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 + 8 = 11.67 (left: 11.67)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 - 3.67 = 4.33 (left: 4.33)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n3.67 * 8 = 29.36 (left: 29.36)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 + 8 = 16 (left: 16)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 * 8 = 64 (left: 64)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 / 8 = 1 (left: 1 8)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n11 - 2 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.0,
|
|
60.0,
|
|
0.0,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 / 8 = 1 (left: 1 8)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 991,
|
|
"ys": [
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 6 11)\n2 + 6 = 8 (left: 8 11)\n11 - 8 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 / 3 \u2248 3.67 (left: 3.67 8)\n8 / 3.67 \u2248 2.18 (left: 2.18)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 - 8 = 0 (left: 0 8)\n",
|
|
"2 * 4 = 8 (left: 6 8 11)\n6 / 2 = 3 (left: 3 8 11)\n11 - 3 = 8 (left: 8 8)\n8 / 8 = 1 (left: 1 8)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 517782,
|
|
"prompt_tokens": 1312813,
|
|
"cost": 70.45131
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 2 8 9",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 8 9)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n",
|
|
"9 - 2 = 7 (left: 2 7 8)\n",
|
|
"9 - 8 = 1 (left: 1 2 2)\n",
|
|
"8 / 2 = 4 (left: 2 4 9)\n",
|
|
"9 / 2 = 4.5 (left: 2 4.5 8) (if considering non-integer results)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 + 2 = 4 (left: 4 8 9)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 2 8 9",
|
|
"ys": [
|
|
"2 + 2 = 4 (left: 4 8 9)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 + 2 = 4 (left: 4 8 9)\n4 + 8 = 12 (left: 9 12)\n",
|
|
"2 + 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n",
|
|
"2 + 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n",
|
|
"2 + 2 = 4 (left: 4 8 9)\n9 / 4 = 2.25 (left: 2.25 8)\n",
|
|
"2 + 2 = 4 (left: 4 8 9)\n9 - 8 = 1 (left: 1 4)\n",
|
|
"2 + 2 = 4 (left: 4 8 9)\n8 / 4 = 2 (left: 2 9)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n4 + 8 = 12 (left: 9 12)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n9 / 4 = 2.25 (left: 2.25 8)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n8 / 4 = 2 (left: 2 9)\n",
|
|
"2 * 2 = 4 (left: 4 8 9)\n9 * 4 = 36 (left: 8 36)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n2 + 9 = 11 (left: 10 11)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n2 * 9 = 18 (left: 10 18)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n6 - 2 = 4 (left: 4 9)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n9 - 2 = 7 (left: 6 7)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n9 - 6 = 3 (left: 2 3)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 * 6 = 12 (left: 9 12)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n6 / 2 = 3 (left: 3 9)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n2 + 8 = 10 (left: 10 11)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n8 - 2 = 6 (left: 6 11)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 - 8 = 3 (left: 2 3)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 / 2 = 5.5 (left: 5.5 8)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 - 2 = 9 (left: 8 9)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
1.002,
|
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0.003,
|
|
0.003,
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0,
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0.003,
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0.003,
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0.003,
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1.002,
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0.003,
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0.003,
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0,
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0.003,
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0.003,
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0.003,
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2.001,
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2.001,
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0.003,
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2.001,
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1.002,
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0.003,
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0.003,
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1.002,
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0.003,
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0.003,
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2.001,
|
|
0.003,
|
|
1.002,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 2 8 9",
|
|
"ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 - 9 = -1 (left: -1)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n9 - 8 = 1 (left: 1)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n9 / 8 = 1.125 (left: 1.125)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n5 + 9 = 14 (left: 14)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n9 - 5 = 4 (left: 4)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n5 * 9 = 45 (left: 45)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 / 2 = 5 (left: 5 9)\n9 / 5 = 1.8 (left: 1.8)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n8 - 9 = -1 (left: -1)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n9 - 8 = 1 (left: 1)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n",
|
|
"8 - 2 = 6 (left: 2 6 9)\n2 + 6 = 8 (left: 8 9)\n9 / 8 = 1.125 (left: 1.125)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n8 + 13 = 21 (left: 21)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n13 - 8 = 5 (left: 5 8)\n",
|
|
"9 + 2 = 11 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n8 * 13 = 104 (left: 104)\n"
|
|
],
|
|
"values": [
|
|
0.003,
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|
0.003,
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|
0.003,
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|
0.003,
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|
0.0,
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|
0.002,
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|
0.003,
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|
0.0,
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0.002,
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|
0.002,
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0.003,
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|
0.0,
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|
0.003,
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|
0.0,
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0.002,
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0.003,
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|
0.0,
|
|
0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 2 8 9",
|
|
"ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n2 + 17 = 19 (left: 8 8 14 19)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n8 + 17 = 25 (left: 2 14 25)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n14 + 17 = 31 (left: 2 8 31)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 + 7 = 10 (left: 10)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n3 * 7 = 21 (left: 21)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 / 3 = 2.33 (left: 2.33)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 2 = 72 (left: 8 8 14 72)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 8 = 78 (left: 2 8 14 78)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 + 14 = 84 (left: 2 8 8 84)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 * 2 = 140 (left: 8 8 14 140)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 2 = 35 (left: 8 8 14 35)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 2 = 68 (left: 8 8 14 68)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 8 = 62 (left: 2 8 14 62)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 - 14 = 56 (left: 2 8 8 56)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 8 = 8.75 (not an integer, so not a valid step)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 * 10 = 70 (left: 70)\n70 / 14 = 5 (left: 2 5 8 8)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 + 9 = 17 (left: 17)\n17 / 2 = 8.5 (left: 2 8 8 14 8.5)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 + 2 = 74 (left: 8 8 14 74)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 + 8 = 80 (left: 2 8 14 80)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 + 14 = 86 (left: 2 8 8 86)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 2 = 36 (left: 8 8 14 36)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 8 = 9 (left: 2 8 14 9)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 - 2 = 70 (left: 8 8 14 70)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 - 8 = 64 (left: 2 8 14 64)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 - 14 = 58 (left: 2 8 8 58)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 * 2 = 144 (left: 8 8 14 144)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 * 8 = 576 (left: 2 8 14 576)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 * 14 = 1008 (left: 2 8 8 1008)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n10 - 2 = 8 (left: 8 9)\n8 * 9 = 72 (left: 72)\n72 / 14 = ~5.14 (not a whole number, so not valid)\n"
|
|
],
|
|
"values": [
|
|
0,
|
|
0,
|
|
0,
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|
0,
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0,
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0,
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0,
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0.0,
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0.002,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 992,
|
|
"ys": [
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n7 - 3 = 4 (left: 4)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"8 + 2 = 10 (left: 2 9 10)\n9 - 2 = 7 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 523135,
|
|
"prompt_tokens": 1323529,
|
|
"cost": 71.09397
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "1 5 6 7",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 6 7)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n",
|
|
"7 - 6 = 1 (left: 1 1 5)\n",
|
|
"6 / 1 = 6 (left: 5 6 7)\n",
|
|
"5 / 1 = 5 (left: 5 6 7)\n",
|
|
"7 / 1 = 7 (left: 5 6 7)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"1 + 5 = 6 (left: 6 6 7)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "1 5 6 7",
|
|
"ys": [
|
|
"1 + 5 = 6 (left: 6 6 7)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"1 + 5 = 6 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"1 + 5 = 6 (left: 6 6 7)\n6 - 6 = 0 (left: 0 7)\n",
|
|
"1 + 5 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"1 + 5 = 6 (left: 6 6 7)\n6 / 6 = 1 (left: 1 7)\n",
|
|
"1 + 5 = 6 (left: 6 6 7)\n7 + 6 = 13 (left: 6 13)\n",
|
|
"1 + 5 = 6 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"1 + 5 = 6 (left: 6 6 7)\n7 / 6 = 1.16 (rounded) (left: 1.16 6)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n6 - 4 = 2 (left: 2 7)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n7 - 4 = 3 (left: 3 6)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n7 - 6 = 1 (left: 1 4)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 * 6 = 24 (left: 7 24)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n6 / 4 = 1.5 (left: 1.5 7)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n7 / 4 = 1.75 (left: 1.75 6)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 * 5 = 25 (left: 7 25)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 - 5 = 2 (left: 2 5)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 + 6 = 11 (left: 6 11)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 - 5 = 1 (left: 1 6)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 / 5 = 1.2 (left: 1.2 6)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 / 6 = 1 (left: 1 5)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 * 6 = 36 (left: 5 36)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n1 + 2 = 3 (left: 3 6)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n2 * 1 = 2 (left: 2 6)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n6 / 2 = 3 (left: 1 3)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n6 - 2 = 4 (left: 1 4)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n6 - 1 = 5 (left: 2 5)\n",
|
|
"7 - 5 = 2 (left: 1 2 6)\n6 / 1 = 6 (left: 2 6)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0,
|
|
0.003,
|
|
0.003,
|
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1.002,
|
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60.0,
|
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2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "1 5 6 7",
|
|
"ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 * 30 = 180 (left: 180)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 / 6 = 5 (left: 5)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n10 - 7 = 3 (left: 3 7)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n5 + 5 = 10 (left: 7 10)\n7 * 10 = 70 (left: 70)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 + 12 = 17 (left: 17)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n12 - 5 = 7 (left: 7)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n12 / 5 = 2.4 (left: 2.4)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.002,
|
|
60.0,
|
|
0.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "1 5 6 7",
|
|
"ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n"
|
|
],
|
|
"new_ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 8 74)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 8 = 7.5 (not a whole number, skipping)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n2 * 60 = 120 (left: 8 8 14 120)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n8 * 60 = 480 (left: 2 14 480)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n14 * 60 = 840 (left: 2 8 840)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 8 74)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 8 = 480 (left: 2 8 14 480)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 14 = 840 (left: 2 8 8 840)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 / 2 = 30 (left: 8 8 14 30)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 2 = 58 (left: 8 8 14 58)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 8 = 52 (left: 2 8 14 52)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n6 + 6 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 - 14 = 46 (left: 2 8 8 46)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 + 2 = 38 (left: 8 8 14 38)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 + 8 = 44 (left: 2 8 14 44)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 + 14 = 50 (left: 2 8 8 50)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 2 = 34 (left: 8 8 14 34)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 8 = 28 (left: 2 8 14 28)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 - 14 = 22 (left: 2 8 8 22)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 2 = 18 (left: 8 8 14 18)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 8 = 4.5 (not applicable as we're considering only whole numbers)\n",
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n6 + 30 = 36 (left: 36)\n36 / 14 = 2.571 (not applicable as we're considering only whole numbers)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 2 = 19 (left: 8 8 14 19)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 2 = 15 (left: 8 8 14 15)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 2 = 34 (left: 8 8 14 34)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 2 = 8.5 (left: 8 8 14 8.5)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 8 = 25 (left: 2 14 25)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 8 = 9 (left: 2 9 14)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 8 = 136 (left: 2 14 136)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 8 = 2.125 (left: 2 14 2.125)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 + 14 = 31 (left: 2 8 31)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 - 14 = 3 (left: 2 8 3)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 * 14 = 238 (left: 2 8 238)\n",
|
|
"5 - 1 = 4 (left: 4 6 7)\n4 + 6 = 10 (left: 7 10)\n7 + 10 = 17 (left: 17)\n17 / 14 = 1.214 (left: 2 8 1.214)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
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0,
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|
0,
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|
0,
|
|
0,
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|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 8 74)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 993,
|
|
"ys": [
|
|
"7 - 1 = 6 (left: 5 6 6)\n5 * 6 = 30 (left: 6 30)\n30 - 6 = 24 (left: 24)\nAnswer: (7 - 1) * 5 - 6 = 24\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 2 = 62 (left: 8 8 14 62)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 8 = 68 (left: 2 8 14 68)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 + 14 = 74 (left: 2 8 8 74)\n",
|
|
"6 - 1 = 5 (left: 5 5 7)\n7 + 5 = 12 (left: 5 12)\n5 * 12 = 60 (left: 60)\n60 * 2 = 120 (left: 8 8 14 120)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 526494,
|
|
"prompt_tokens": 1331108,
|
|
"cost": 71.52288
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "5 8 10 11",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"5 + 8 = 13 (left: 10 11 13)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n",
|
|
"5 * 8 = 40 (left: 10 11 40)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n",
|
|
"11 - 8 = 3 (left: 3 5 10)\n",
|
|
"11 / 5 = 2.2 (left: 2.2 8 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
22.0,
|
|
60.0,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "5 8 10 11",
|
|
"ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n8 - 5 = 3 (left: 3 11)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 8 = 3 (left: 3 5)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 * 8 = 40 (left: 11 40)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n8 * 11 = 88 (left: 5 88)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 / 5 = 2.2 (left: 2.2 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n10 - 6 = 4 (left: 4 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 * 8 = 48 (left: 10 48)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 / 6 = 1.33 (approx.) (left: 1.33 10)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n10 / 6 = 1.67 (approx.) (left: 1.67 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n10 - 8 = 2 (left: 2 6)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n10 - 3 = 7 (left: 7 11)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n11 - 3 = 8 (left: 8 10)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n11 - 10 = 1 (left: 1 3)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 * 10 = 30 (left: 11 30)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 * 11 = 33 (left: 10 33)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n10 / 3 \u2248 3.33 (left: 3.33 11) (not an integer operation)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n11 / 3 \u2248 3.67 (left: 3 3.67) (not an integer operation)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n10 * 11 = 110 (left: 3 110)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n10 + 11 = 21 (left: 13 21)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n11 + 13 = 24 (left: 10 24)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n13 + 10 = 23 (left: 11 23)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n11 - 10 = 1 (left: 1 13)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n13 - 11 = 2 (left: 10 2)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n13 - 10 = 3 (left: 11 3)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n10 * 11 = 110 (left: 13 110)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n11 * 13 = 143 (left: 10 143)\n",
|
|
"5 + 8 = 13 (left: 10 11 13)\n13 * 10 = 130 (left: 11 130)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n2 + 8 = 10 (left: 10 11)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n8 / 2 = 4 (left: 4 11)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n11 + 2 = 13 (left: 8 13)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n11 - 2 = 9 (left: 8 9)\n",
|
|
"10 / 5 = 2 (left: 2 8 11)\n11 / 2 = 5.5 (left: 5.5 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
2.001,
|
|
1.002
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "5 8 10 11",
|
|
"ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n14 - 10 = 4 (left: 4)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 * 14 = 140 (left: 140)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n14 / 10 = 1.4 (left: 1.4)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n13 - 11 = 2 (left: 2 11)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 * 13 = 143 (left: 143)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n2 + 10 = 12 (left: 12)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n10 - 2 = 8 (left: 8)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n10 / 2 = 5 (left: 5)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n8 - 6 = 2 (left: 2 10)\n2 * 10 = 20 (left: 20)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
1.002,
|
|
0.002,
|
|
0,
|
|
0.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "5 8 10 11",
|
|
"ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (10 - 5) + (8 + 11) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (11 - 5) + 8 + 10 = 24\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (8 - 5) + 10 + 11 = 24\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 + 8 = 10 (left: 10)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n2 * 8 = 16 (left: 16)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n1.333 + 6 = 7.333 (left: 7.333)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n6 / 1.333 \u2248 4.5 (left: 4.5)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n6 - 1.333 \u2248 4.667 (left: 4.667)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333 6)\n1.333 * 6 \u2248 8 (left: 8)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (10 - 5) + (8 + 11) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (11 - 5) + 8 + 10 = 24\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (8 - 5) + 10 + 11 = 24\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 994,
|
|
"ys": [
|
|
"10 - 5 = 5 (left: 5 8 11)\n5 + 8 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (10 - 5) + (8 + 11) = 24\n",
|
|
"11 - 5 = 6 (left: 6 8 10)\n6 + 8 = 14 (left: 10 14)\n10 + 14 = 24 (left: 24)\nAnswer: (11 - 5) + 8 + 10 = 24\n",
|
|
"8 - 5 = 3 (left: 3 10 11)\n3 + 10 = 13 (left: 11 13)\n11 + 13 = 24 (left: 24)\nAnswer: (8 - 5) + 10 + 11 = 24\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 - 2 = 6 (left: 6)\n",
|
|
"10 - 5 = 5 (left: 5 8 11)\n11 - 5 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2 8)\n8 / 2 = 4 (left: 4)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 529662,
|
|
"prompt_tokens": 1341191,
|
|
"cost": 72.01545
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 4 9 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 4 = 8 (left: 8 9 12)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n",
|
|
"4 / 4 = 1 (left: 1 9 12)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n",
|
|
"9 - 4 = 5 (left: 4 5 12)\n",
|
|
"9 / 4 = 2.25 (left: 2.25 4 12)\n"
|
|
],
|
|
"values": [
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
41.0,
|
|
3.0,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 4 9 12",
|
|
"ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n4 - 3 = 1 (left: 1 9)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 4 = 5 (left: 3 5)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 * 4 = 12 (left: 9 12)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 / 3 = 3 (left: 3 4)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n8 + 9 = 17 (left: 12 17)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n9 - 8 = 1 (left: 1 12)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 / 8 = 1.5 (left: 1.5 9)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 / 9 = 1.33 (rounded, left: 1.33 8)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n9 + 12 = 21 (left: 16 21)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n12 - 9 = 3 (left: 3 16)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 - 9 = 7 (left: 7 12)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 - 12 = 4 (left: 4 9)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n9 * 12 = 108 (left: 16 108)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n12 * 16 = 192 (left: 9 192)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n4 + 8 = 12 (left: 9 12)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n8 - 4 = 4 (left: 4 9)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n9 - 4 = 5 (left: 5 8)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n4 * 8 = 32 (left: 9 32)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n8 / 4 = 2 (left: 2 9)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n9 / 4 = 2.25 (left: 2.25 8)\n",
|
|
"12 - 4 = 8 (left: 4 8 9)\n9 - 8 = 1 (left: 1 4)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n4 + 12 = 16 (left: 13 16)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n12 - 4 = 8 (left: 8 13)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 - 4 = 9 (left: 9 12)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n12 / 4 = 3 (left: 3 13)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n4 * 12 = 48 (left: 13 48)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 + 4 = 17 (left: 12 17)\n"
|
|
],
|
|
"values": [
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 4 9 12",
|
|
"ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 - 6 = -2 (left: -2)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 / 6 = 0.6667 (left: 0.6667)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 + 12 = 15.25 (left: 15.25)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n12 - 3.25 = 8.75 (left: 8.75)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n12 / 3.25 \u2248 3.69 (left: 3.69)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n7 + 9 = 16 (left: 16)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n7 * 9 = 63 (left: 63)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 / 7 = 1.29 (left: 1.29 7)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n12 - 8 = 4 (left: 4)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n8 * 12 = 96 (left: 96)\n",
|
|
"4 * 4 = 16 (left: 9 12 16)\n16 / 2 = 8 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5)\n"
|
|
],
|
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"values": [
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0.0,
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0.0,
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0.002,
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60.0,
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0.001,
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0.001,
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0.003,
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0.0,
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60.0,
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0.0,
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0.0,
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0.0,
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0.003,
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0.0,
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0.002,
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0.003,
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0.003,
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0.003,
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0.003,
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0.002,
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0.001,
|
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0.001
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 4 9 12",
|
|
"ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n"
|
|
],
|
|
"new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 + 4) * (12 - 9) = 24\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 14 = 25 (left: 2 8 8 25)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 * 2 = 22 (left: 8 8 14 22)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 2 = 9 (left: 8 8 14 9)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 8 = 3 (left: 2 8 14 3)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 - 14 = -3 (left: 2 8 8 -3)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 / 2 = 5.5 (left: 5.5 8 8 14)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 + 2 = 41 (left: 8 8 14 41)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 + 8 = 47 (left: 2 8 14 47)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 + 14 = 53 (left: 2 8 8 53)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 * 2 = 78 (left: 8 8 14 78)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 - 2 = 37 (left: 8 8 14 37)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 - 8 = 31 (left: 2 8 14 31)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 - 14 = 25 (left: 2 8 8 25)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 / 2 = 19.5 (invalid, not an integer)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 / 8 = 4.875 (invalid, not an integer)\n",
|
|
"9 + 4 = 13 (left: 4 12 13)\n13 / 4 = 3.25 (left: 3.25 12) (if decimals are allowed)\n3.25 * 12 = 39 (left: 39)\n39 / 14 = 2.7857 (invalid, not an integer)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 + 7 = 9 (left: 9)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n7 - 2 = 5 (left: 5)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n7 / 2 = 3.5 (left: 3.5)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
60.0,
|
|
0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0,
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0.0,
|
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0.002,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 + 4) * (12 - 9) = 24\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 995,
|
|
"ys": [
|
|
"12 / 4 = 3 (left: 3 4 9)\n9 - 3 = 6 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: 4 * (9 - (12 / 4)) = 24\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (4 + 4) * (12 - 9) = 24\n",
|
|
"12 / 4 = 3 (left: 3 4 9)\n3 + 4 = 7 (left: 7 9)\n9 - 7 = 2 (left: 2 7)\n2 * 7 = 14 (left: 14)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 2 = 13 (left: 8 8 14 13)\n",
|
|
"4 + 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n11 + 8 = 19 (left: 2 8 14 19)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 532261,
|
|
"prompt_tokens": 1348648,
|
|
"cost": 72.39509999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 5 6 6",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 5 = 7 (left: 6 6 7)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n",
|
|
"5 * 6 = 30 (left: 2 6 30)\n",
|
|
"6 * 6 = 36 (left: 2 5 36)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
2.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 5 6 6",
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n6 + 6 = 12 (left: 10 12)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n6 * 6 = 36 (left: 10 36)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 / 6 = 1.67 (rounded) (left: 1.67 6)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n6 + 6 = 12 (left: 7 12)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n6 * 6 = 36 (left: 7 36)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n7 - 6 = 1 (left: 1 6)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n6 - 6 = 0 (left: 0 7)\n",
|
|
"2 + 5 = 7 (left: 6 6 7)\n7 / 6 = 1.166... (left: 1.166... 6)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n6 / 3 = 2 (left: 2 6)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n6 - 3 = 3 (left: 3 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n5 + 6 = 11 (left: 4 11)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n6 - 4 = 2 (left: 2 5)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n6 - 5 = 1 (left: 1 4)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n6 / 4 = 1.5 (left: 1.5 5)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n5 / 4 = 1.25 (left: 1.25 6)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n3 + 5 = 8 (left: 6 8)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n5 + 6 = 11 (left: 3 11)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n6 - 3 = 3 (left: 3 5)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n6 / 3 = 2 (left: 2 5)\n",
|
|
"6 / 2 = 3 (left: 3 5 6)\n6 - 5 = 1 (left: 1 3)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
0.003,
|
|
60.0,
|
|
0,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
60.0,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
2.001,
|
|
0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 5 6 6",
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2)\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 - 6 = 12 (left: 12)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 * 18 = 108 (left: 108)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n18 / 6 = 3 (left: 3)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 - 9 = -3 (left: -3)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 / 9 = 0.6667 (left: 0.6667)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 + 20 = 26 (left: 26)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 - 6 = 14 (left: 14)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n6 * 20 = 120 (left: 120)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 * 5 = 20 (left: 6 20)\n20 / 6 = 3.333 (left: 3.333)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
60.0,
|
|
0.002,
|
|
0.001,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
2.001,
|
|
0.002,
|
|
0.002,
|
|
0.003,
|
|
0.001
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 5 6 6",
|
|
"ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 5) * (10 - 6) = 24\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (5 - 2) * 6 + 6 = 24\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 * 6 = 18 (left: 18)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 + 2 = 17 (left: 8 8 14 17)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 - 2 = 13 (left: 8 8 13 14)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 * 2 = 30 (left: 8 8 14 30)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n15 / 2 = 7.5 (left: 7.5 8 8 14)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n2 + 15 = 17 (left: 8 8 14 17)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n2 - 15 = -13 (left: -13 8 8 14)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n2 * 15 = 30 (left: 8 8 14 30)\n",
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 + 6 = 9 (left: 6 9)\n6 + 9 = 15 (left: 15)\n2 / 15 = 0.1333 (left: 0.1333 8 8 14)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (5 - 2) * 6 + 6 = 24\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 5) * (10 - 6) = 24\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 996,
|
|
"ys": [
|
|
"5 - 2 = 3 (left: 3 6 6)\n3 * 6 = 18 (left: 6 18)\n6 + 18 = 24 (left: 24)\nAnswer: (5 - 2) * 6 + 6 = 24\n",
|
|
"2 * 5 = 10 (left: 6 6 10)\n10 - 6 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (2 * 5) * (10 - 6) = 24\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"6 - 2 = 4 (left: 4 5 6)\n4 + 5 = 9 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 535037,
|
|
"prompt_tokens": 1356295,
|
|
"cost": 72.79107
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "2 4 9 12",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"2 + 4 = 6 (left: 6 9 12)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n",
|
|
"12 - 4 = 8 (left: 2 8 9)\n",
|
|
"12 / 2 = 6 (left: 4 6 9)\n",
|
|
"9 + 2 = 11 (left: 4 11 12)\n",
|
|
"9 - 4 = 5 (left: 2 5 12)\n",
|
|
"9 / 2 = 4.5 (not an integer, so not a valid step)\n",
|
|
"12 - 2 = 10 (left: 4 9 10)\n"
|
|
],
|
|
"values": [
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
22.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "2 4 9 12",
|
|
"ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n8 + 9 = 17 (left: 12 17)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n9 - 8 = 1 (left: 1 12)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 8 = 4 (left: 4 9)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n8 * 9 = 72 (left: 12 72)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 / 8 = 1.5 (left: 1.5 9)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n9 / 8 = 1.125 (left: 1.125 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n6 + 9 = 15 (left: 12 15)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 / 6 = 2 (left: 2 9)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 9 = 3 (left: 3 6)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n2 + 9 = 11 (left: 11 12)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n9 - 2 = 7 (left: 7 12)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n12 - 2 = 10 (left: 9 10)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n12 / 2 = 6 (left: 6 9)\n",
|
|
"4 / 2 = 2 (left: 2 9 12)\n2 * 9 = 18 (left: 12 18)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n4 + 9 = 13 (left: 13 14)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n9 - 4 = 5 (left: 5 14)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n14 - 4 = 10 (left: 9 10)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n14 - 9 = 5 (left: 4 5)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n14 / 4 = 3.5 (left: 3.5 9)\n",
|
|
"12 + 2 = 14 (left: 4 9 14)\n4 * 9 = 36 (left: 14 36)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n2 + 9 = 11 (left: 11 12)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 - 2 = 7 (left: 7 12)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n12 - 9 = 3 (left: 2 3)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n12 - 2 = 10 (left: 9 10)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n12 / 2 = 6 (left: 6 9)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "2 4 9 12",
|
|
"ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 + 8 = 11 (left: 11)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n8 - 3 = 5 (left: 5)\n",
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n8 / 3 = 2.67 (left: 2.67)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n3 + 12 = 15 (left: 15)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n12 / 3 = 4 (left: 4)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n12 - 3 = 9 (left: 9)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 - 6 = 3 (left: 3 12)\n3 * 12 = 36 (left: 36)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n1.5 + 12 = 13.5 (left: 13.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n12 / 1.5 = 8 (left: 8)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n12 - 1.5 = 10.5 (left: 10.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n9 / 6 = 1.5 (left: 1.5 12)\n1.5 * 12 = 18 (left: 18)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n4.5 + 12 = 16.5 (left: 16.5)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n6 + 9 = 15 (left: 15)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n6 * 9 = 54 (left: 54)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
60.0,
|
|
0.0,
|
|
0.0,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0.003,
|
|
0.0,
|
|
0,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
3.0,
|
|
1.002,
|
|
0.003,
|
|
1.002,
|
|
0,
|
|
2.001
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "2 4 9 12",
|
|
"ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 9) = 24\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 + 7.5 = 12 (left: 12)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n7.5 - 4.5 = 3 (left: 3 4.5)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 * 7.5 = 33.75 (left: 33.75)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n7.5 / 4.5 = 1.6667 (left: 1.6667 7.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 * 6 = 9 (left: 9)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 - 1.5 = 4.5 (left: 4.5)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n2.67 + 4.5 = 7.17 (left: 7.17)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n4.5 - 2.67 = 1.83 (left: 1.83)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n2.67 * 4.5 = 12.015 (left: 12.015)\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 / 4.5 \u2248 2.67 (left: 2.67 4.5)\n4.5 / 2.67 = 1.685 (left: 1.685)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n3 + 6 = 9 (left: 9)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 - 3 = 3 (left: 3)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 9) = 24\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 + 7.5 = 12 (left: 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 997,
|
|
"ys": [
|
|
"2 * 4 = 8 (left: 8 9 12)\n12 - 9 = 3 (left: 3 8)\n3 * 8 = 24 (left: 24)\nAnswer: (2 * 4) * (12 - 9) = 24\n",
|
|
"4 - 2 = 2 (left: 2 9 12)\n9 / 2 = 4.5 (left: 4.5 12) (if considering non-integer values)\n12 - 4.5 = 7.5 (left: 4.5 7.5)\n4.5 + 7.5 = 12 (left: 12)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n1.5 + 6 = 7.5 (left: 7.5)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 / 6 = 1.5 (left: 1.5 6)\n6 / 1.5 = 4 (left: 4)\n",
|
|
"2 + 4 = 6 (left: 6 9 12)\n12 - 6 = 6 (left: 6 9)\n9 - 6 = 3 (left: 3 6)\n6 / 3 = 2 (left: 2)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 537504,
|
|
"prompt_tokens": 1362539,
|
|
"cost": 73.12640999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 8 11 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n",
|
|
"4 * 8 = 32 (left: 11 13 32)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n",
|
|
"4 * 11 = 44 (left: 8 13 44)\n",
|
|
"13 + 4 = 17 (left: 8 11 17)\n",
|
|
"13 * 4 = 52 (left: 8 11 52)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"8 - 4 = 4 (left: 4 11 13)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 8 11 13",
|
|
"ys": [
|
|
"8 - 4 = 4 (left: 4 11 13)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n11 - 4 = 7 (left: 7 13)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n13 - 4 = 9 (left: 9 11)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n13 - 11 = 2 (left: 2 4)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 * 11 = 44 (left: 13 44)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n13 + 4 = 17 (left: 11 17)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n11 + 13 = 24 (left: 4 24)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n8 + 9 = 17 (left: 11 17)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n9 - 8 = 1 (left: 1 11)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 - 8 = 3 (left: 3 9)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 - 9 = 2 (left: 2 8)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n8 * 9 = 72 (left: 11 72)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 * 8 = 88 (left: 9 88)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 8 = 19 (left: 9 19)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n7 + 8 = 15 (left: 13 15)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 8 = 5 (left: 5 7)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n8 - 7 = 1 (left: 1 13)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 / 7 \u2248 1.857 (left: 1.857 8)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n11 + 12 = 23 (left: 13 23)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n12 + 13 = 25 (left: 11 25)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n11 * 12 = 132 (left: 13 132)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 12 = 1 (left: 1 11)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n12 - 11 = 1 (left: 1 13)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n11 * 13 = 143 (left: 12 143)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n12 * 13 = 156 (left: 11 156)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n8 + 13 = 21 (left: 15 21)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n15 - 8 = 7 (left: 7 13)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n15 - 13 = 2 (left: 2 8)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 + 15 = 28 (left: 8 28)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n8 * 13 = 104 (left: 15 104)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n15 * 8 = 120 (left: 13 120)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n15 * 13 = 195 (left: 8 195)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
2.001,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
2.001,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
2.001,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 8 11 13",
|
|
"ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 + 12 = 14 (left: 14)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 - 2 = 10 (left: 10)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n8 + 20 = 28 (left: 28)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n8 * 20 = 160 (left: 160)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n6 + 8 = 14 (left: 14)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n8 - 6 = 2 (left: 2)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n6 * 8 = 48 (left: 48)\n",
|
|
"11 - 4 = 7 (left: 7 8 13)\n13 - 7 = 6 (left: 6 8)\n8 / 6 = 1.333 (left: 1.333)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n5 + 15 = 20 (left: 20)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n15 - 5 = 10 (left: 10)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n15 / 5 = 3 (left: 3)\n",
|
|
"11 + 4 = 15 (left: 8 13 15)\n13 - 8 = 5 (left: 5 15)\n5 * 15 = 75 (left: 75)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n13 + 15 = 28 (left: 28)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n13 * 15 = 195 (left: 195)\n"
|
|
],
|
|
"values": [
|
|
0.002,
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.002,
|
|
2.001,
|
|
2.001,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.002,
|
|
0.001,
|
|
0.003,
|
|
0.0,
|
|
0,
|
|
0.003,
|
|
0.002,
|
|
1.002,
|
|
0.002
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 8 11 13",
|
|
"ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n"
|
|
],
|
|
"new_ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 + 8) * (13 - 11) = 24\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n12 - 8 = 4 (left: 4)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n8 * 12 = 96 (left: 96)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n12 / 8 = 1.5 (left: 1.5)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 + 8 = 10.5 (left: 10.5)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n8 - 2.5 = 5.5 (left: 5.5)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n8 / 2.5 = 3.2 (left: 3.2)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 * 8 = 20 (left: 20)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n2 + 13 = 15 (left: 15)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n13 - 2 = 11 (left: 11)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n2 * 13 = 26 (left: 26)\n",
|
|
"8 - 4 = 4 (left: 4 11 13)\n4 + 11 = 15 (left: 13 15)\n15 - 13 = 2 (left: 2 13)\n13 / 2 = 6.5 (left: 6.5)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n2 + 6 = 8 (left: 8 8 14)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 + 8 = 14 (left: 2 8 14)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 - 6 = 8 (left: 2 8 8)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 8 12)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 2 = 7 (left: 6 7 8)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n8 - 6 = 2 (left: 2 8 8)\n"
|
|
],
|
|
"values": [
|
|
60.0,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.001,
|
|
0.003,
|
|
0,
|
|
0.002,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
3.0,
|
|
3.0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 + 8) * (13 - 11) = 24\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 8 12)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 2 = 7 (left: 6 7 8)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 + 8 = 10.5 (left: 10.5)\n"
|
|
]
|
|
}
|
|
],
|
|
"idx": 998,
|
|
"ys": [
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n2 * 12 = 24 (left: 24)\nAnswer: (4 + 8) * (13 - 11) = 24\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n6 * 2 = 12 (left: 8 8 12)\n",
|
|
"4 + 8 = 12 (left: 11 12 13)\n13 - 11 = 2 (left: 2 12)\n12 / 2 = 6 (left: 6)\n14 / 2 = 7 (left: 6 7 8)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 - 8 = 12 (left: 8 12)\n8 + 12 = 20 (left: 20)\n",
|
|
"13 - 4 = 9 (left: 8 9 11)\n11 + 9 = 20 (left: 8 20)\n20 / 8 = 2.5 (left: 2.5 8)\n2.5 + 8 = 10.5 (left: 10.5)\n"
|
|
],
|
|
"infos": [
|
|
{
|
|
"r": 1
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
},
|
|
{
|
|
"r": 0
|
|
}
|
|
],
|
|
"usage_so_far": {
|
|
"completion_tokens": 541775,
|
|
"prompt_tokens": 1373572,
|
|
"cost": 73.71365999999999
|
|
}
|
|
},
|
|
{
|
|
"steps": [
|
|
{
|
|
"step": 0,
|
|
"x": "4 9 10 13",
|
|
"ys": [
|
|
""
|
|
],
|
|
"new_ys": [
|
|
"4 + 9 = 13 (left: 10 13 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n",
|
|
"10 / 4 = 2.5 (left: 2.5 9 13)\n",
|
|
"4 * 9 = 36 (left: 10 13 36)\n"
|
|
],
|
|
"values": [
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
3.0,
|
|
60.0,
|
|
3.0,
|
|
3.0,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 1,
|
|
"x": "4 9 10 13",
|
|
"ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n6 + 9 = 15 (left: 13 15)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 - 6 = 3 (left: 3 13)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 6 = 7 (left: 7 9)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n6 * 9 = 54 (left: 13 54)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 / 6 = 2.1667 (left: 2.1667 9)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 / 9 = 1.4444 (left: 1.4444 6)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n5 + 10 = 15 (left: 13 15)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n10 - 5 = 5 (left: 5 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 - 5 = 8 (left: 8 10)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 - 10 = 3 (left: 3 5)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n10 / 5 = 2 (left: 2 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n9 + 9 = 18 (left: 10 18)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n9 - 9 = 0 (left: 0 10)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n10 - 9 = 1 (left: 1 9)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n9 * 9 = 81 (left: 10 81)\n",
|
|
"13 - 4 = 9 (left: 9 9 10)\n10 / 9 = 1.11 (approximately) (left: 1.11 9)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n4 + 10 = 14 (left: 13 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 + 13 = 23 (left: 4 23)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n13 + 4 = 17 (left: 10 17)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n4 * 10 = 40 (left: 13 40)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 * 13 = 130 (left: 4 130)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n13 * 4 = 52 (left: 10 52)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 - 4 = 6 (left: 6 13)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n13 - 4 = 9 (left: 9 10)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n13 - 10 = 3 (left: 3 4)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n9 - 3.25 = 5.75 (left: 5.75 10)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n10 - 3.25 = 6.75 (left: 6.75 9)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n10 - 9 = 1 (left: 1 3.25)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n9 / 3.25 = 2.769 (left: 2.769 10)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 * 9 = 29.25 (left: 10 29.25)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n10 / 3.25 = 3.077 (left: 3.077 9)\n"
|
|
],
|
|
"values": [
|
|
1.002,
|
|
2.001,
|
|
2.001,
|
|
60.0,
|
|
0.003,
|
|
3.0,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
2.001,
|
|
0.003,
|
|
1.002,
|
|
3.0,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
0.003,
|
|
1.002,
|
|
1.002,
|
|
0.003,
|
|
3.0,
|
|
3.0,
|
|
2.001,
|
|
3.0,
|
|
0.003,
|
|
3.0,
|
|
0.003,
|
|
3.0
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 2,
|
|
"x": "4 9 10 13",
|
|
"ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 + 6 = 10 (left: 10)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n1.5 + 13 = 14.5 (left: 14.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n13 - 1.5 = 11.5 (left: 11.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n13 / 1.5 \u2248 8.67 (left: 8.67)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n9 / 6 = 1.5 (left: 1.5 13)\n1.5 * 13 = 19.5 (left: 19.5)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n2.6 + 10 = 12.6 (left: 12.6)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n10 - 2.6 = 7.4 (left: 7.4)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n2.6 * 10 = 26 (left: 26)\n",
|
|
"9 - 4 = 5 (left: 5 10 13)\n13 / 5 = 2.6 (left: 2.6 10) [if decimals are allowed]\n10 / 2.6 \u2248 3.846 (left: 3.846)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n2.5 + 13 = 15.5 (left: 15.5)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 / 2.5 = 5.2 (left: 5.2)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n2.5 * 13 = 32.5 (left: 32.5)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n10 + 12.25 = 22.25 (left: 22.25)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n10 * 12.25 = 122.5 (left: 122.5)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 / 10 = 1.225 (left: 1.225 10)\n"
|
|
],
|
|
"values": [
|
|
0.0,
|
|
0.003,
|
|
60.0,
|
|
0.003,
|
|
0.0,
|
|
0.001,
|
|
0.0,
|
|
0.0,
|
|
0,
|
|
0,
|
|
0.002,
|
|
0.0,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.001,
|
|
0.0,
|
|
3.0,
|
|
0.001,
|
|
0.003
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n"
|
|
]
|
|
},
|
|
{
|
|
"step": 3,
|
|
"x": "4 9 10 13",
|
|
"ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n"
|
|
],
|
|
"new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 4) * (13 - 9) = 24\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n2.25 + 10 = 12.25 (left: 12.25)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n10 - 2.25 = 7.75 (left: 7.75)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n10 / 2.25 \u2248 4.44 (left: 4.44)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 + 4 = 6 (left: 6)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 / 2 = 2 (left: 2 2)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 - 2 = 2 (left: 2 2)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 * 4 = 8 (left: 8)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n1.5 + 4 = 5.5 (left: 5.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n4 - 1.5 = 2.5 (left: 2.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n4 / 1.5 = 2.6667 (left: 2.6667)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n1.5 * 4 = 6 (left: 6)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n10.5 + 2 = 12.5 (left: 8 8 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n10.5 - 2 = 8.5 (left: 8 8 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n10.5 * 2 = 21 (left: 8 8 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n10.5 / 2 = 5.25 (left: 5.25 8 14)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n14 - 10.5 = 3.5 (left: 2 8 8)\n",
|
|
"13 - 9 = 4 (left: 4 10 13)\n10 / 4 = 2.5 (left: 2.5 13)\n13 - 2.5 = 10.5 (left: 10.5)\n8 - 10.5 = -2.5 (left: 2 8 14)\n"
|
|
],
|
|
"values": [
|
|
40.001,
|
|
0.0,
|
|
0.001,
|
|
0.001,
|
|
0.002,
|
|
0.003,
|
|
0.002,
|
|
0.002,
|
|
0,
|
|
0,
|
|
0.001,
|
|
0.0,
|
|
0.003,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0,
|
|
0
|
|
],
|
|
"select_new_ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 4) * (13 - 9) = 24\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 + 4 = 6 (left: 6)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n1.5 * 4 = 6 (left: 6)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 / 2 = 2 (left: 2 2)\n"
|
|
]
|
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}
|
|
],
|
|
"idx": 999,
|
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"ys": [
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n4 * 6 = 24 (left: 24)\nAnswer: (10 - 4) * (13 - 9) = 24\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n2 + 4 = 6 (left: 6)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 / 4 = 1.5 (left: 1.5 4)\n1.5 * 4 = 6 (left: 6)\n",
|
|
"13 / 4 = 3.25 (left: 3.25 9 10)\n3.25 + 9 = 12.25 (left: 10 12.25)\n12.25 - 10 = 2.25 (left: 2.25 10)\n2.25 * 10 = 22.5 (left: 22.5)\n",
|
|
"10 - 4 = 6 (left: 6 9 13)\n13 - 9 = 4 (left: 4 6)\n6 - 4 = 2 (left: 2 4)\n4 / 2 = 2 (left: 2 2)\n"
|
|
],
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