mirror of
https://github.com/princeton-nlp/tree-of-thought-llm
synced 2025-06-26 18:26:00 +00:00
correcting broken/old functions and paths in original repo. logging to be fixed later.
This commit is contained in:
emilyworks
parent
45bc74dcb2
commit
e614118830
@ -0,0 +1,330 @@
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""
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"4 + 5 = 9 (left: 6 9 10)\n"
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1.0
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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"
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],
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"new_ys": [
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"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n"
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0.001
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{
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"step": 2,
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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)\n6 + 9 = 15 (left: 10 15)\n"
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],
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"new_ys": [
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"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n"
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],
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"values": [
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0.001
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],
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"select_new_ys": [
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"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n"
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]
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},
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{
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"step": 3,
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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)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n"
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],
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"new_ys": [
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"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n25 + 2 = 27 (left: 8 8 14 27)\n"
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],
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"values": [
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0
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||||
],
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"select_new_ys": [
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"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n25 + 2 = 27 (left: 8 8 14 27)\n"
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]
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}
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],
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"idx": 900,
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"ys": [
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"4 + 5 = 9 (left: 6 9 10)\n6 + 9 = 15 (left: 10 15)\n10 + 15 = 25 (left: 25)\n25 + 2 = 27 (left: 8 8 14 27)\n"
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],
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"infos": [
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{
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"r": 0
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"cost": 0.11214000000000002
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{
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{
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"step": 0,
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"x": "1 2 4 7",
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"ys": [
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""
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],
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"new_ys": [
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"1 + 2 = 3 (left: 3 4 7)\n"
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],
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"values": [
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1.0
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],
|
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"select_new_ys": [
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"1 + 2 = 3 (left: 3 4 7)\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 2 4 7",
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"ys": [
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"1 + 2 = 3 (left: 3 4 7)\n"
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],
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"new_ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n"
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],
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"values": [
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0.001
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],
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"select_new_ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n"
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]
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},
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{
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"step": 2,
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"x": "1 2 4 7",
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"ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n"
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],
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"new_ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n"
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],
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"values": [
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0.001
|
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],
|
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"select_new_ys": [
|
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n"
|
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]
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},
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{
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"step": 3,
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"x": "1 2 4 7",
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"ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n"
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],
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"new_ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n14 + 2 = 16 (left: 8 8 16)\n"
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],
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"values": [
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0
|
||||
],
|
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"select_new_ys": [
|
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n14 + 2 = 16 (left: 8 8 16)\n"
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]
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}
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],
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"idx": 901,
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"ys": [
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"1 + 2 = 3 (left: 3 4 7)\n3 + 4 = 7 (left: 7 7)\n7 + 7 = 14 (left: 14)\n14 + 2 = 16 (left: 8 8 16)\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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"prompt_tokens": 4454,
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"cost": 0.2178
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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": "2 5 8 11",
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"ys": [
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""
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],
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"new_ys": [
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"2 + 5 = 7 (left: 7 8 11)\n"
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],
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"values": [
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1.0
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],
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"select_new_ys": [
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"2 + 5 = 7 (left: 7 8 11)\n"
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]
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},
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{
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"step": 1,
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"x": "2 5 8 11",
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"ys": [
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"2 + 5 = 7 (left: 7 8 11)\n"
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],
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"new_ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n"
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],
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"values": [
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0.001
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],
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"select_new_ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n"
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]
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},
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{
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"step": 2,
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"x": "2 5 8 11",
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"ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n"
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],
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"new_ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n11 + 15 = 26 (left: 26)\n"
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],
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"values": [
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0.001
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],
|
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"select_new_ys": [
|
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n11 + 15 = 26 (left: 26)\n"
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]
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},
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{
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"step": 3,
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"x": "2 5 8 11",
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"ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n11 + 15 = 26 (left: 26)\n"
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],
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"new_ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n11 + 15 = 26 (left: 26)\n26 + 2 = 28 (left: 8 8 14 28)\n"
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],
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"values": [
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0
|
||||
],
|
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"select_new_ys": [
|
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n11 + 15 = 26 (left: 26)\n26 + 2 = 28 (left: 8 8 14 28)\n"
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]
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}
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],
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"idx": 902,
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"ys": [
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"2 + 5 = 7 (left: 7 8 11)\n7 + 8 = 15 (left: 11 15)\n11 + 15 = 26 (left: 26)\n26 + 2 = 28 (left: 8 8 14 28)\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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"completion_tokens": 2166,
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"cost": 0.33042
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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 4 13",
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"ys": [
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""
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],
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"new_ys": [
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"3 + 4 = 7 (left: 4 7 13)\n"
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],
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"values": [
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20.0
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],
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"select_new_ys": [
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"3 + 4 = 7 (left: 4 7 13)\n"
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]
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},
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{
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"step": 1,
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"x": "3 4 4 13",
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"ys": [
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"3 + 4 = 7 (left: 4 7 13)\n"
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],
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"new_ys": [
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"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n"
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],
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"values": [
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20.0
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],
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"select_new_ys": [
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"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n"
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]
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},
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{
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"step": 2,
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"x": "3 4 4 13",
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"ys": [
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"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n"
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],
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"new_ys": [
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"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n"
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],
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"values": [
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0.0
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],
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"select_new_ys": [
|
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"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n"
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]
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},
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{
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"step": 3,
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"x": "3 4 4 13",
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"ys": [
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"3 + 4 = 7 (left: 4 7 13)\n4 + 7 = 11 (left: 11 13)\n11 + 13 = 24 (left: 24)\n"
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],
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"new_ys": [
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"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"
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],
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"values": [
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0.001
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],
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"select_new_ys": [
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"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"
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]
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}
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],
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"idx": 903,
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"ys": [
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"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"
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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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"completion_tokens": 2531,
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"cost": 0.42675
|
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}
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}
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]
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6562
logs/game24/gpt-4o_0.0_propose5_value1_greedy1_start0_end100.json
Normal file
6562
logs/game24/gpt-4o_0.0_propose5_value1_greedy1_start0_end100.json
Normal file
File diff suppressed because it is too large
Load Diff
412
logs/game24/gpt-4o_0.0_propose5_value1_greedy1_start0_end5.json
Normal file
412
logs/game24/gpt-4o_0.0_propose5_value1_greedy1_start0_end5.json
Normal file
@ -0,0 +1,412 @@
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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": "1 1 4 6",
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"ys": [
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""
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],
|
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"new_ys": [
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"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\n"
|
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],
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"values": [
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0.0
|
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],
|
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"select_new_ys": [
|
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"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\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 1 4 6",
|
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"ys": [
|
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"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\n"
|
||||
],
|
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"new_ys": [
|
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"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
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],
|
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"values": [
|
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0.001
|
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],
|
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"select_new_ys": [
|
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"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
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]
|
||||
},
|
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{
|
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"step": 2,
|
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"x": "1 1 4 6",
|
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"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 4 6",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
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]
|
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}
|
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],
|
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"idx": 0,
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"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 4 6`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 3135,
|
||||
"prompt_tokens": 1833,
|
||||
"cost": 0.24308999999999997
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 1 11 11",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 1 11 11",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 1 11 11",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list 2, 8, 8, 14:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list 2, 8, 8, 14:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 11 11",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list 2, 8, 8, 14:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list 2, 8, 8, 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list 2, 8, 8, 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 1,
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. After performing an operation, the two numbers are replaced by the result, and the list is updated. Here are the possible next steps for the input `1 1 11 11`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list 2, 8, 8, 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 5678,
|
||||
"prompt_tokens": 4034,
|
||||
"cost": 0.4617
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 1 3 8",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 1 3 8",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 1 3 8",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 3 8",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 2,
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 3 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 8876,
|
||||
"prompt_tokens": 6219,
|
||||
"cost": 0.7191299999999999
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 1 1 8",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 1 1 8",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 1 1 8",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 1 8",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 3,
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list and replace them with the result. Here are the possible next steps for the input `1 1 1 8`:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input \"2 8 8 14\":\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can perform arithmetic operations (addition, subtraction, multiplication, and division) on any two numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 11846,
|
||||
"prompt_tokens": 8396,
|
||||
"cost": 0.9626399999999999
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "6 6 6 6",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "6 6 6 6",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "6 6 6 6",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "6 6 6 6",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 4,
|
||||
"ys": [
|
||||
"To determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers in the list. Here are the possible next steps for the input `6 6 6 6`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input numbers 2, 8, 8, and 14:\nTo determine the possible next steps, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) to any pair of numbers from the list. Here are the possible next steps for the input list `2 8 8 14`:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 15200,
|
||||
"prompt_tokens": 10228,
|
||||
"cost": 1.21884
|
||||
}
|
||||
}
|
||||
]
|
||||
412
logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start5_end10.json
Normal file
412
logs/game24/gpt-4o_0.7_propose5_value1_greedy1_start5_end10.json
Normal file
@ -0,0 +1,412 @@
|
||||
[
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 1 2 12",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 1 2 12",
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 1 2 12",
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers you can perform using addition (+), subtraction (-), multiplication (*), and division (/) on any two numbers. Here are some possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers you can perform using addition (+), subtraction (-), multiplication (*), and division (/) on any two numbers. Here are some possible next steps:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 2 12",
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers you can perform using addition (+), subtraction (-), multiplication (*), and division (/) on any two numbers. Here are some possible next steps:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers you can perform using addition (+), subtraction (-), multiplication (*), and division (/) on any two numbers. Here are some possible next steps:\nLet's consider the possible operations using the numbers 1, 1, 2, and 12. We can use addition (+), subtraction (-), multiplication (*), and division (/), and we perform these operations on two numbers at a time, replacing them with the result. Here are the possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers you can perform using addition (+), subtraction (-), multiplication (*), and division (/) on any two numbers. Here are some possible next steps:\nLet's consider the possible operations using the numbers 1, 1, 2, and 12. We can use addition (+), subtraction (-), multiplication (*), and division (/), and we perform these operations on two numbers at a time, replacing them with the result. Here are the possible next steps:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 5,
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/), but only between two numbers at a time. Here are the possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers. You can use addition (+), subtraction (-), multiplication (*), and division (/) for any two numbers in the set. Here are some possible next steps:\nGiven the input numbers 1, 1, 2, and 12, let's consider the possible operations and the resulting sets of numbers you can perform using addition (+), subtraction (-), multiplication (*), and division (/) on any two numbers. Here are some possible next steps:\nLet's consider the possible operations using the numbers 1, 1, 2, and 12. We can use addition (+), subtraction (-), multiplication (*), and division (/), and we perform these operations on two numbers at a time, replacing them with the result. Here are the possible next steps:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 2736,
|
||||
"prompt_tokens": 2250,
|
||||
"cost": 0.23166
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 2 2 6",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 2 2 6",
|
||||
"ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \n"
|
||||
],
|
||||
"new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 2 2 6",
|
||||
"ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, we need to consider combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division). Here are the possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, we need to consider combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division). Here are the possible next steps:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 2 2 6",
|
||||
"ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, we need to consider combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division). Here are the possible next steps:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, we need to consider combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division). Here are the possible next steps:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, let's consider all combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division) where applicable.\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, we need to consider combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division). Here are the possible next steps:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, let's consider all combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division) where applicable.\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 6,
|
||||
"ys": [
|
||||
"1 + 2 = 3 (left: 2 3 6) \nTo determine the possible next steps, we need to consider combinations of two numbers from the list and apply basic arithmetic operations (addition, subtraction, multiplication, and division) to them. Let's go through each pair:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, we need to consider combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division). Here are the possible next steps:\nTo determine the possible next steps from the list of numbers 2, 8, 8, and 14, let's consider all combinations of two numbers and apply basic arithmetic operations (addition, subtraction, multiplication, and division) where applicable.\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 6159,
|
||||
"prompt_tokens": 4465,
|
||||
"cost": 0.50349
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 1 10 12",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 1 10 12",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 1 10 12",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\nGiven the input numbers 2, 8, 8, and 14, you can combine two of these numbers using basic arithmetic operations (addition, subtraction, multiplication, or division, where applicable) to determine the possible next steps. Below are the possible combinations and their results:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\nGiven the input numbers 2, 8, 8, and 14, you can combine two of these numbers using basic arithmetic operations (addition, subtraction, multiplication, or division, where applicable) to determine the possible next steps. Below are the possible combinations and their results:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 10 12",
|
||||
"ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\nGiven the input numbers 2, 8, 8, and 14, you can combine two of these numbers using basic arithmetic operations (addition, subtraction, multiplication, or division, where applicable) to determine the possible next steps. Below are the possible combinations and their results:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\nGiven the input numbers 2, 8, 8, and 14, you can combine two of these numbers using basic arithmetic operations (addition, subtraction, multiplication, or division, where applicable) to determine the possible next steps. Below are the possible combinations and their results:\nGiven the input numbers 2, 8, 8, and 14, you can choose two numbers and combine them using basic arithmetic operations. Here are the possible combinations and their outcomes:\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\nGiven the input numbers 2, 8, 8, and 14, you can combine two of these numbers using basic arithmetic operations (addition, subtraction, multiplication, or division, where applicable) to determine the possible next steps. Below are the possible combinations and their results:\nGiven the input numbers 2, 8, 8, and 14, you can choose two numbers and combine them using basic arithmetic operations. Here are the possible combinations and their outcomes:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 7,
|
||||
"ys": [
|
||||
"To determine the possible next steps, we combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can proceed with the input \"1 1 10 12\":\nTo determine the possible next steps, you can combine two numbers from the list and replace them with the result of one of the basic arithmetic operations: addition, subtraction, multiplication, or division (if applicable). Here's how you can do it with the input list [2, 8, 8, 14]:\nGiven the input numbers 2, 8, 8, and 14, you can combine two of these numbers using basic arithmetic operations (addition, subtraction, multiplication, or division, where applicable) to determine the possible next steps. Below are the possible combinations and their results:\nGiven the input numbers 2, 8, 8, and 14, you can choose two numbers and combine them using basic arithmetic operations. Here are the possible combinations and their outcomes:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 8576,
|
||||
"prompt_tokens": 6708,
|
||||
"cost": 0.7158
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "2 2 10 10",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "2 2 10 10",
|
||||
"ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "2 2 10 10",
|
||||
"ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) on any pair of numbers from the list. Here are the possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0.0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) on any pair of numbers from the list. Here are the possible next steps:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "2 2 10 10",
|
||||
"ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) on any pair of numbers from the list. Here are the possible next steps:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) on any pair of numbers from the list. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers, and replace those two numbers with the result of the operation. Here are the possible next steps:\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) on any pair of numbers from the list. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers, and replace those two numbers with the result of the operation. Here are the possible next steps:\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 8,
|
||||
"ys": [
|
||||
"Here's the list of possible next steps for the input `2 2 10 10`:\nTo find the possible next steps for the input `2 2 10 10`, we can consider applying basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers and replacing them with the result. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) on any pair of numbers from the list. Here are the possible next steps:\nTo find the possible next steps for the input `2 2 10 10`, we can apply basic arithmetic operations (addition, subtraction, multiplication, and division) between any two numbers, and replace those two numbers with the result of the operation. Here are the possible next steps:\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 11716,
|
||||
"prompt_tokens": 8883,
|
||||
"cost": 0.9694499999999999
|
||||
}
|
||||
},
|
||||
{
|
||||
"steps": [
|
||||
{
|
||||
"step": 0,
|
||||
"x": "1 1 1 12",
|
||||
"ys": [
|
||||
""
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 1,
|
||||
"x": "1 1 1 12",
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 2,
|
||||
"x": "1 1 1 12",
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations:\n"
|
||||
],
|
||||
"values": [
|
||||
0.001
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations:\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"step": 3,
|
||||
"x": "1 1 1 12",
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations:\n"
|
||||
],
|
||||
"new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations:\n1 + 1 = 2 (left: 1 1 2 12)\n"
|
||||
],
|
||||
"values": [
|
||||
0
|
||||
],
|
||||
"select_new_ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations:\n1 + 1 = 2 (left: 1 1 2 12)\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"idx": 9,
|
||||
"ys": [
|
||||
"Given the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing arithmetic operations (addition, subtraction, multiplication, division) between any two numbers:\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations (addition, subtraction, multiplication, and division):\nGiven the input numbers 1, 1, 1, and 12, here are the possible next steps you can take by performing basic arithmetic operations:\n1 + 1 = 2 (left: 1 1 2 12)\n"
|
||||
],
|
||||
"infos": [
|
||||
{
|
||||
"r": 0
|
||||
}
|
||||
],
|
||||
"usage_so_far": {
|
||||
"completion_tokens": 13066,
|
||||
"prompt_tokens": 11097,
|
||||
"cost": 1.11687
|
||||
}
|
||||
}
|
||||
]
|
||||
@ -17,3 +17,6 @@ tqdm==4.65.0
|
||||
urllib3==2.0.2
|
||||
yarl==1.9.2
|
||||
pandas==2.0.3
|
||||
|
||||
transformers
|
||||
torch
|
||||
26
run.py
26
run.py
@ -1,12 +1,16 @@
|
||||
import os
|
||||
import json
|
||||
import argparse
|
||||
import time
|
||||
|
||||
from tot.tasks import get_task
|
||||
from tot.methods.bfs import solve, naive_solve
|
||||
from tot.models import gpt_usage
|
||||
from src.tot.tasks import get_task
|
||||
from src.tot.methods.bfs import solve, naive_solve
|
||||
from src.tot.models import gpt_usage
|
||||
|
||||
def run(args):
|
||||
'''
|
||||
main run function
|
||||
'''
|
||||
task = get_task(args.task)
|
||||
logs, cnt_avg, cnt_any = [], 0, 0
|
||||
if args.naive_run:
|
||||
@ -16,6 +20,7 @@ def run(args):
|
||||
os.makedirs(os.path.dirname(file), exist_ok=True)
|
||||
|
||||
for i in range(args.task_start_index, args.task_end_index):
|
||||
|
||||
# solve
|
||||
if args.naive_run:
|
||||
ys, info = naive_solve(args, task, i)
|
||||
@ -41,17 +46,26 @@ def run(args):
|
||||
|
||||
|
||||
def parse_args():
|
||||
'''
|
||||
Determines the conditions for the run.
|
||||
'''
|
||||
args = argparse.ArgumentParser()
|
||||
args.add_argument('--backend', type=str, choices=['gpt-4', 'gpt-3.5-turbo'], default='gpt-4')
|
||||
args.add_argument('--temperature', type=float, default=0.7)
|
||||
|
||||
#what model to use
|
||||
args.add_argument('--backend', type=str, choices=['gpt-4o', 'gpt-4o-mini', 'other'], default='gpt-4o')
|
||||
|
||||
#what temperature to use
|
||||
args.add_argument('--temperature', type=float, default=0.0)
|
||||
|
||||
#the problem task
|
||||
args.add_argument('--task', type=str, required=True, choices=['game24', 'text', 'crosswords'])
|
||||
|
||||
#which tasks from the data file to solve
|
||||
args.add_argument('--task_start_index', type=int, default=900)
|
||||
args.add_argument('--task_end_index', type=int, default=1000)
|
||||
|
||||
args.add_argument('--naive_run', action='store_true')
|
||||
args.add_argument('--prompt_sample', type=str, choices=['standard', 'cot']) # only used when method_generate = sample, or naive_run
|
||||
|
||||
args.add_argument('--method_generate', type=str, choices=['sample', 'propose'])
|
||||
args.add_argument('--method_evaluate', type=str, choices=['value', 'vote'])
|
||||
args.add_argument('--method_select', type=str, choices=['sample', 'greedy'], default='greedy')
|
||||
|
||||
@ -1,7 +1,7 @@
|
||||
import itertools
|
||||
import numpy as np
|
||||
from functools import partial
|
||||
from tot.models import inference_model
|
||||
from ..models import inference_model
|
||||
|
||||
def get_value(task, x, y, n_evaluate_sample, cache_value=True):
|
||||
value_prompt = task.value_prompt_wrap(x, y)
|
||||
@ -14,6 +14,9 @@ def get_value(task, x, y, n_evaluate_sample, cache_value=True):
|
||||
return value
|
||||
|
||||
def get_values(task, x, ys, n_evaluate_sample, cache_value=True):
|
||||
|
||||
# ys = list(set(ys))
|
||||
# print(ys)
|
||||
values = []
|
||||
local_value_cache = {}
|
||||
for y in ys: # each partial output
|
||||
@ -23,6 +26,7 @@ def get_values(task, x, ys, n_evaluate_sample, cache_value=True):
|
||||
value = get_value(task, x, y, n_evaluate_sample, cache_value=cache_value)
|
||||
local_value_cache[y] = value
|
||||
values.append(value)
|
||||
# print(values)
|
||||
return values
|
||||
|
||||
def get_votes(task, x, ys, n_evaluate_sample):
|
||||
@ -33,6 +37,7 @@ def get_votes(task, x, ys, n_evaluate_sample):
|
||||
|
||||
def get_proposals(task, x, y):
|
||||
propose_prompt = task.propose_prompt_wrap(x, y)
|
||||
print("prompt proposed -- now running inference...")
|
||||
proposals = inference_model(propose_prompt, n=1, stop=None)[0].split('\n')
|
||||
return [y + _ + '\n' for _ in proposals]
|
||||
|
||||
@ -49,24 +54,34 @@ def get_samples(task, x, y, n_generate_sample, prompt_sample, stop):
|
||||
def solve(args, task, idx, to_print=True):
|
||||
global inference_model
|
||||
inference_model = partial(inference_model, model=args.backend, temperature=args.temperature)
|
||||
print(inference_model)
|
||||
# print(inference_model)
|
||||
x = task.get_input(idx) # input
|
||||
ys = [''] # current output candidates
|
||||
infos = []
|
||||
|
||||
for step in range(task.steps):
|
||||
print("Started Steps!!")
|
||||
# generation
|
||||
if args.method_generate == 'sample':
|
||||
new_ys = [get_samples(task, x, y, args.n_generate_sample, prompt_sample=args.prompt_sample, stop=task.stops[step]) for y in ys]
|
||||
elif args.method_generate == 'propose':
|
||||
# elif args.method_generate == 'propose':
|
||||
else:
|
||||
new_ys = [get_proposals(task, x, y) for y in ys]
|
||||
new_ys = list(itertools.chain(*new_ys))
|
||||
ids = list(range(len(new_ys)))
|
||||
|
||||
print("Starting eval!!")
|
||||
# evaluation
|
||||
if args.method_evaluate == 'vote':
|
||||
values = get_votes(task, x, new_ys, args.n_evaluate_sample)
|
||||
elif args.method_evaluate == 'value':
|
||||
values = get_values(task, x, new_ys, args.n_evaluate_sample)
|
||||
|
||||
print("THESE ARE THE VALUES")
|
||||
print(values)
|
||||
print("********")
|
||||
|
||||
print("Starting selection!!")
|
||||
# selection
|
||||
if args.method_select == 'sample':
|
||||
ps = np.array(values) / sum(values)
|
||||
|
||||
@ -1,7 +1,7 @@
|
||||
import os
|
||||
import openai
|
||||
from openai import OpenAI
|
||||
import backoff
|
||||
|
||||
from transformers import AutoTokenizer, AutoModelForCausalLM
|
||||
|
||||
completion_tokens = prompt_tokens = 0
|
||||
@ -21,26 +21,28 @@ if api_base != "":
|
||||
### Model Inference ###
|
||||
#######################
|
||||
|
||||
def inference_model(prompt, model="gpt-4", temperature=0.7, max_tokens=1000, n=1, stop=None, vllm=False, quant=False) -> list:
|
||||
def inference_model(prompt, model="gpt-4o", temperature=0.7, max_tokens=1000, n=1, stop=None, vllm=False, quant=False) -> list:
|
||||
'''
|
||||
Driver function for model inference.
|
||||
'''
|
||||
# print("made it into driver.")
|
||||
if model == "llama_3.2" and vllm:
|
||||
return llama_32(prompt, quant, vllm, temperature, max_tokens, n, stop)
|
||||
else:
|
||||
messages = [{"role": "user", "content": prompt}]
|
||||
return chatgpt(prompt, model=model, temperature=temperature, max_tokens=max_tokens, n=n, stop=stop)
|
||||
messages = [{"role": "system", "content": "You are a helpful assistant."},
|
||||
{"role": "user", "content": prompt}]
|
||||
return chatgpt(model=model, messages=messages, temperature=temperature, max_tokens=max_tokens, n=n, stop=stop)
|
||||
|
||||
def llama_32(prompt, quant, vllm, temperature, max_tokens, n, stop): #will add vllm support later
|
||||
def llama_32(prompt, temperature, max_tokens, n, stop, quant=None, vllm=None): #will add vllm support later
|
||||
'''
|
||||
Use llama3.2 for inference
|
||||
'''
|
||||
if quant:
|
||||
tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-1B-Instruct-QLORA_INT4_EO8")
|
||||
model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-1B-Instruct-QLORA_INT4_EO8")
|
||||
else:
|
||||
tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-3B")
|
||||
model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-3B")
|
||||
# if quant:
|
||||
# tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-1B-Instruct-QLORA_INT4_EO8")
|
||||
# model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-1B-Instruct-QLORA_INT4_EO8")
|
||||
# else:
|
||||
tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-3B")
|
||||
model = AutoModelForCausalLM.from_pretrained("meta-llama/Llama-3.2-3B")
|
||||
|
||||
inputs = tokenizer(prompt, return_tensors="pt")
|
||||
outputs = hf_model(model, inputs, temperature, max_tokens, n, stop)
|
||||
@ -62,29 +64,40 @@ def hf_model(model, input_tokens, temperature=0.7, max_tokens=1000, n=1, stop=No
|
||||
|
||||
return outputs
|
||||
|
||||
@backoff.on_exception(backoff.expo, openai.error.OpenAIError)
|
||||
# @backoff.on_exception(backoff.expo, openai.error.OpenAIError)
|
||||
def completions_with_backoff(**kwargs):
|
||||
return openai.ChatCompletion.create(**kwargs)
|
||||
return client.chat.completions.create(**kwargs)
|
||||
|
||||
def chatgpt(messages, model="gpt-4", temperature=0.7, max_tokens=1000, n=1, stop=None) -> list:
|
||||
global completion_tokens, prompt_tokens
|
||||
outputs = []
|
||||
client = OpenAI()
|
||||
while n > 0:
|
||||
cnt = min(n, 20) #never generate more than 20 outputs per same input
|
||||
n -= cnt
|
||||
|
||||
res = completions_with_backoff(model=model, messages=messages, temperature=temperature, max_tokens=max_tokens, n=cnt, stop=stop)
|
||||
outputs.extend([choice["message"]["content"] for choice in res["choices"]])
|
||||
# print("made it into n loop")
|
||||
# res = completions_with_backoff(model=model, messages=messages, temperature=temperature, n=cnt, stop=stop)
|
||||
# print(messages)
|
||||
res = client.chat.completions.create(model=model, messages=messages, temperature=temperature, n=cnt, stop=stop)
|
||||
# print("got result from chatgpt")
|
||||
# print(cnt)
|
||||
# print(res)
|
||||
res_answer = res.choices[0].message.content
|
||||
# print(res_answer)
|
||||
outputs.extend(res_answer.split('\n'))
|
||||
# print(outputs)
|
||||
|
||||
# print(f"{n} inference complete. now logging...")
|
||||
# log completion tokens
|
||||
completion_tokens += res["usage"]["completion_tokens"]
|
||||
prompt_tokens += res["usage"]["prompt_tokens"]
|
||||
completion_tokens += res.usage.completion_tokens
|
||||
prompt_tokens += res.usage.prompt_tokens
|
||||
|
||||
return outputs
|
||||
|
||||
def gpt_usage(backend="gpt-4"):
|
||||
def gpt_usage(backend="gpt-4o"):
|
||||
global completion_tokens, prompt_tokens
|
||||
if backend == "gpt-4":
|
||||
if backend == "gpt-4o":
|
||||
cost = completion_tokens / 1000 * 0.06 + prompt_tokens / 1000 * 0.03
|
||||
elif backend == "gpt-3.5-turbo":
|
||||
cost = completion_tokens / 1000 * 0.002 + prompt_tokens / 1000 * 0.0015
|
||||
|
||||
@ -1,12 +1,12 @@
|
||||
def get_task(name):
|
||||
if name == 'game24':
|
||||
from tot.tasks.game24 import Game24Task
|
||||
from src.tot.tasks.game24 import Game24Task
|
||||
return Game24Task()
|
||||
elif name == 'text':
|
||||
from tot.tasks.text import TextTask
|
||||
from src.tot.tasks.text import TextTask
|
||||
return TextTask()
|
||||
elif name == 'crosswords':
|
||||
from tot.tasks.crosswords import MiniCrosswordsTask
|
||||
from src.tot.tasks.crosswords import MiniCrosswordsTask
|
||||
return MiniCrosswordsTask()
|
||||
else:
|
||||
raise NotImplementedError
|
||||
@ -2,8 +2,8 @@ import re
|
||||
import os
|
||||
import sympy
|
||||
import pandas as pd
|
||||
from tot.tasks.base import Task, DATA_PATH
|
||||
from tot.prompts.game24 import *
|
||||
from src.tot.tasks.base import Task, DATA_PATH
|
||||
from src.tot.prompts.game24 import *
|
||||
|
||||
|
||||
def get_current_numbers(y: str) -> str:
|
||||
|
||||
Loading…
Reference in New Issue
Block a user