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"Using ALL of the numbers 28, 98, 44, 14, 69, 49, 7, 46, create an expression that equals 303. You m(...TRUNCATED)
"{\"numbers\": [28, 98, 44, 14, 69, 49, 7, 46], \"target\": 303, \"operators_used\": [\"*\", \"*\", (...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY: \nAvailable: [7, 14, 28, 44, 46, 49, 69, 98] \nTarget: 303 \n\nWe will pe(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.049928,"finish_reason":"length","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K(...TRUNCATED)
[ [] ]
[ [] ]
[ [] ]
[ [] ]
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0027560999999999996,"finish_reason":"stop","input_tokens":17518,"model":"gpt-4o-mini-2024(...TRUNCATED)
4
"The model demonstrates a strong adherence to the systematic tree search strategy, including clear i(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
["Shows solution path tracing back through successful branches","Avoids heuristic reasoning (no 'clo(...TRUNCATED)
"Using ALL of the numbers 25, 69, 58, 14, 55, 24, 36, 60, create an expression that equals 176. You (...TRUNCATED)
"{\"numbers\": [25, 69, 58, 14, 55, 24, 36, 60], \"target\": 176, \"operators_used\": [\"-\", \"+\",(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY \nAvailable: [25, 69, 58, 14, 55, 24, 36, 60] \nTarget: 176 \n\nWe will pe(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.049928,"finish_reason":"length","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K(...TRUNCATED)
[ [] ]
[ [] ]
[ [] ]
[ [] ]
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0027507,"finish_reason":"stop","input_tokens":17510,"model":"gpt-4o-mini-2024-07-18","out(...TRUNCATED)
4
"The model demonstrates a strong adherence to the systematic tree search strategy, including clear i(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
[]
"Using ALL of the numbers 55, 36, 6, 3, 14, 99, 17, 82, create an expression that equals 245. You mu(...TRUNCATED)
"{\"numbers\": [55, 36, 6, 3, 14, 99, 17, 82], \"target\": 245, \"operators_used\": [\"*\", \"-\", \(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY: \nAvailable: [55, 36, 6, 3, 14, 99, 17, 82] \nTarget: 245 \n\nWe will per(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.049928,"finish_reason":"length","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K(...TRUNCATED)
[ [] ]
[ [] ]
[ [] ]
[ [] ]
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0027549,"finish_reason":"stop","input_tokens":17514,"model":"gpt-4o-mini-2024-07-18","out(...TRUNCATED)
3
"The model demonstrates a partial adherence to the prescribed strategy by listing the available numb(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
["Uses explicit tree structure (branches, levels, indentation, or labeling)","Explicitly marks dead (...TRUNCATED)
"Using ALL of the numbers 87, 69, 43, 4, 55, 34, 23, 2, create an expression that equals 874. You mu(...TRUNCATED)
"{\"numbers\": [87, 69, 43, 4, 55, 34, 23, 2], \"target\": 874, \"operators_used\": [\"*\", \"+\", \(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["Let's solve this using systematic tree search with explicit backtracking.\n\n---\n\n**STEP 1 — I(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.022814,"finish_reason":"stop","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K2-(...TRUNCATED)
[ [ "(87 * 2) + (69 + 43 + 55 + 34 + 23 - 4) = 874" ] ]
[ [ { "end_index": 16995, "end_phrase": "</answer>", "start_index": 16933, "start_phrase": "<answer>" } ] ]
[ [ false ] ]
[[{"answer_block":"(87 * 2) + (69 + 43 + 55 + 34 + 23 - 4) = 874","error":"Expression does not equal(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0014031,"finish_reason":"stop","input_tokens":8478,"model":"gpt-4o-mini-2024-07-18","outp(...TRUNCATED)
4
"The model demonstrates a strong adherence to the systematic tree search strategy, including clear i(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
[ "Shows solution path tracing back through successful branches", "Must use all numbers exactly once" ]
"Using ALL of the numbers 56, 63, 7, 50, 44, 1, 87, 52, create an expression that equals 132. You mu(...TRUNCATED)
"{\"numbers\": [56, 63, 7, 50, 44, 1, 87, 52], \"target\": 132, \"operators_used\": [\"-\", \"/\", \(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["We are given the numbers: \n**[56, 63, 7, 50, 44, 1, 87, 52]** \nTarget: **132**\n\nWe must use (...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.01925,"finish_reason":"stop","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K2-I(...TRUNCATED)
[ [ "((87 + 52) - (50 - 44) - 1) + ((56 - 63) + 7) = 132" ] ]
[ [ { "end_index": 15194, "end_phrase": "</answer>", "start_index": 15126, "start_phrase": "<answer>" } ] ]
[ [ true ] ]
[[{"answer_block":"((87 + 52) - (50 - 44) - 1) + ((56 - 63) + 7) = 132","error":null,"final_answer":(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0012282,"finish_reason":"stop","input_tokens":7320,"model":"gpt-4o-mini-2024-07-18","outp(...TRUNCATED)
5
"The model fully adhered to the prescribed reasoning strategy, systematically exploring branches and(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
[]
"Using ALL of the numbers 32, 32, 36, 58, 2, 97, 60, 11, create an expression that equals 409. You m(...TRUNCATED)
"{\"numbers\": [32, 32, 36, 58, 2, 97, 60, 11], \"target\": 409, \"operators_used\": [\"/\", \"*\", (...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY \nAvailable numbers: [2, 11, 32, 32, 36, 58, 60, 97] \nTarget: 409 \n\nWe (...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.049928,"finish_reason":"length","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K(...TRUNCATED)
[ [] ]
[ [] ]
[ [] ]
[ [] ]
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.00273675,"finish_reason":"stop","input_tokens":17397,"model":"gpt-4o-mini-2024-07-18","ou(...TRUNCATED)
4
"The model demonstrates a strong adherence to the systematic tree search strategy, including clear i(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
["Shows solution path tracing back through successful branches","Avoids heuristic reasoning (no 'clo(...TRUNCATED)
"Using ALL of the numbers 38, 30, 47, 23, 39, 2, 91, 1, create an expression that equals 785. You mu(...TRUNCATED)
"{\"numbers\": [38, 30, 47, 23, 39, 2, 91, 1], \"target\": 785, \"operators_used\": [\"-\", \"*\", \(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY \nAvailable: [38, 30, 47, 23, 39, 2, 91, 1] \nTarget: 785\n\nWe will do a s(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.036857,"finish_reason":"stop","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K2-(...TRUNCATED)
[ [ "39 * 23 - 47 - 38 - 30 + 2 + 1 = 785" ] ]
[ [ { "end_index": 27407, "end_phrase": "</answer>", "start_index": 27354, "start_phrase": "<answer>" } ] ]
[ [ false ] ]
[[{"answer_block":"39 * 23 - 47 - 38 - 30 + 2 + 1 = 785","error":"Expression must use ALL available (...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.00210105,"finish_reason":"stop","input_tokens":13103,"model":"gpt-4o-mini-2024-07-18","ou(...TRUNCATED)
5
"The model fully adheres to the prescribed strategy, systematically listing available numbers and th(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
[]
"Using ALL of the numbers 13, 1, 13, 68, 2, 2, 93, 62, create an expression that equals 102. You mus(...TRUNCATED)
"{\"numbers\": [13, 1, 13, 68, 2, 2, 93, 62], \"target\": 102, \"operators_used\": [\"/\", \"-\", \"(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY \nAvailable numbers: [1, 2, 2, 13, 13, 62, 68, 93] \nTarget: 102 \nWe must(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.004523,"finish_reason":"stop","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K2-(...TRUNCATED)
[ [ "93 + 68 - 62 + 2 + 1 + (13 - 13) * 2 = 102" ] ]
[ [ { "end_index": 3554, "end_phrase": "</answer>", "start_index": 3495, "start_phrase": "<answer>" } ] ]
[ [ true ] ]
[[{"answer_block":"93 + 68 - 62 + 2 + 1 + (13 - 13) * 2 = 102","error":null,"final_answer":102.0,"is(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.00048014999999999993,"finish_reason":"stop","input_tokens":2381,"model":"gpt-4o-mini-2024(...TRUNCATED)
5
"The model fully complies with the prescribed strategy by systematically listing the available numbe(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
[]
"Using ALL of the numbers 87, 1, 21, 9, 57, 45, 6, 17, create an expression that equals 113. You mus(...TRUNCATED)
"{\"numbers\": [87, 1, 21, 9, 57, 45, 6, 17], \"target\": 113, \"operators_used\": [\"/\", \"*\", \"(...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY \nAvailable: [87, 1, 21, 9, 57, 45, 6, 17] \nTarget: 113 \n\nWe will perfo(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.049928,"finish_reason":"length","input_tokens":776,"model":"together_ai/moonshotai/Kimi-K(...TRUNCATED)
[ [] ]
[ [] ]
[ [] ]
[ [] ]
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0027603,"finish_reason":"stop","input_tokens":17526,"model":"gpt-4o-mini-2024-07-18","out(...TRUNCATED)
3
"The model demonstrates a partial adherence to the prescribed strategy by listing the available numb(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
["Explicitly marks dead ends (writes DEAD END or BACKTRACK or equivalent)","Returns to previous bran(...TRUNCATED)
"Using ALL of the numbers 60, 90, 39, 30, 53, 15, 18, 6, create an expression that equals 239. You m(...TRUNCATED)
"{\"numbers\": [60, 90, 39, 30, 53, 15, 18, 6], \"target\": 239, \"operators_used\": [\"+\", \"*\", (...TRUNCATED)
countdown
[{"content":"You are a math problem solver. Solve the given arithmetic problem step by step. Show yo(...TRUNCATED)
["STEP 1 — INVENTORY \nAvailable: [60, 90, 39, 30, 53, 15, 18, 6] \nTarget: 239 \n\nWe will per(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/moonshotai/Kimi-K2-In(...TRUNCATED)
[{"cost":0.0057079999999999995,"finish_reason":"stop","input_tokens":776,"model":"together_ai/moonsh(...TRUNCATED)
[ [ "60 + 90 + 53 + 39 - 30 + 15 + 18 - 6 = 239" ] ]
[ [ { "end_index": 4512, "end_phrase": "</answer>", "start_index": 4453, "start_phrase": "<answer>" } ] ]
[ [ true ] ]
[[{"answer_block":"60 + 90 + 53 + 39 - 30 + 15 + 18 - 6 = 239","error":null,"final_answer":239.0,"is(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4o-mini-2024-07-18","raw_prom(...TRUNCATED)
[{"cost":0.0005448,"finish_reason":"stop","input_tokens":2768,"model":"gpt-4o-mini-2024-07-18","outp(...TRUNCATED)
5
"The model fully complies with the prescribed strategy by systematically listing the available numbe(...TRUNCATED)
["Lists all available numbers and target at the start (INVENTORY step)","Picks pairs of numbers and (...TRUNCATED)
[]

t1-strategy-countdown-treesearch-kimi-k2-instruct-kimi-inst

Strategy compliance evaluation on countdown arithmetic — tree-search variant.

Model was instructed to use a systematic tree search with explicit backtracking. Compliance is scored by an LLM judge (1-5 Likert).

Results

Metric Value
pass@1 0.3000
Strategy compliance (mean) 4.20
Strategy compliance (min) 3
Strategy compliance (max) 5
Total problems 10

Compliance Distribution

Score Count Meaning
1 0 Non-compliant
2 0 Minimal
3 2 Partial
4 4 Mostly compliant
5 4 Fully compliant

Details

Parameter Value
Model together_ai/moonshotai/Kimi-K2-Instruct-0905
Thinking False
Temperature 0.7
Max tokens 32768
Judge model openai/gpt-4o-mini
Num examples 10
Num args 8
Variant tree-search

Usage

from datasets import load_dataset
ds = load_dataset("reasoning-degeneration-dev/t1-strategy-countdown-treesearch-kimi-k2-instruct-kimi-inst", split="train")
scores = ds["strategy_compliance"]
print(f"Mean compliance: {sum(scores) / len(scores):.2f}")

Tracked in reasoning-degeneration-dev/PROJECT-MANIFEST

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