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"Using ALL of the numbers 12, 4, 7, 1, 2, 5, 21, 88, create an expression that equals 109. You must (...TRUNCATED)
"{\"numbers\": [12, 4, 7, 1, 2, 5, 21, 88], \"target\": 109, \"operators_used\": [\"/\", \"+\", \"/\(...TRUNCATED)
countdown
[{"content":"You are a helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**12, 4, 7, 1, 2, 5, 21, 88** \nWe must use **each number exactly o(...TRUNCATED)
[ 66205 ]
[ 69 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers: \n**12, 4, 7, 1, 2, 5, 21, 88** \nWe must use **each number exactly o(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["88 + 21 + (5 * 4) - (12 + 7) - (2 - 1)"],["88 + 21 + (5 * 4) - (12 + 7) - (2 - 1)"],["88 + 21 + (...TRUNCATED)
[[[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],(...TRUNCATED)
[[[{"answer_block":"88 + 21 + (5 * 4) - (12 + 7) - (2 - 1)","error":null,"final_answer":109.0,"is_co(...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 helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**25, 69, 58, 14, 55, 24, 36, 60** \nWe must use **all of them exac(...TRUNCATED)
[ 66506 ]
[ 45 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers: \n**25, 69, 58, 14, 55, 24, 36, 60** \nWe must use **all of them exac(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["69 + 58 + 24 + 14 + 36 - 25 + (60 / 60) - (55 / 55)"],["69 + 58 + 24 + 14 + (36 - 25) + (60 / 60(...TRUNCATED)
[[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[f(...TRUNCATED)
[[[{"answer_block":"69 + 58 + 24 + 14 + 36 - 25 + (60 / 60) - (55 / 55)","error":"Expression uses an(...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 helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**55, 36, 6, 3, 14, 99, 17, 82** \nWe must use **each number exactl(...TRUNCATED)
[ 117111 ]
[ 1 ]
[ [] ]
[["We are given the numbers: \n**55, 36, 6, 3, 14, 99, 17, 82** \nWe must use **each number exactl(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["(14 * 3) + (6 * 17) + (82 + (55 - 36))","(14 * 3) + (6 * 17) + (82 + (55 - 36))","(14 * 3) + (6 (...TRUNCATED)
[[[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,f(...TRUNCATED)
[[[{"answer_block":"(14 * 3) + (6 * 17) + (82 + (55 - 36))","error":"Expression must use ALL availab(...TRUNCATED)
"Using ALL of the numbers 87, 87, 29, 2, 19, 4, 1, 1, create an expression that equals 281. You must(...TRUNCATED)
"{\"numbers\": [87, 87, 29, 2, 19, 4, 1, 1], \"target\": 281, \"operators_used\": [\"/\", \"+\", \"/(...TRUNCATED)
countdown
[{"content":"You are a helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**87, 87, 29, 2, 19, 4, 1, 1** \nWe must use **each number exactly (...TRUNCATED)
[ 65807 ]
[ 85 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers: \n**87, 87, 29, 2, 19, 4, 1, 1** \nWe must use **each number exactly (...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["(87 + 87) + (19 × 4 + 29 + 2) + (1 - 1)"],["(87 + 87) + (19 × 4 + 29 + 2) + (1 - 1)"],["(87 + (...TRUNCATED)
[[[true],[true],[true],[true,true],[true,true],[true],[true],[true],[true],[true],[true],[true],[tru(...TRUNCATED)
[[[{"answer_block":"(87 + 87) + (19 * 4 + 29 + 2) + (1 - 1)","error":null,"final_answer":281.0,"is_c(...TRUNCATED)
"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 helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers:\n\n**56, 63, 7, 50, 44, 1, 87, 52**\n\nWe must use **each number exactl(...TRUNCATED)
[ 65749 ]
[ 58 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers:\n\n**56, 63, 7, 50, 44, 1, 87, 52**\n\nWe must use **each number exactl(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["52 + (87 - 7) + ((63 - 56) - (50 - 44) - 1) = 132"],["52 + (87 - 7) + ((63 - 56) - (50 - 44) - 1(...TRUNCATED)
[[[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],(...TRUNCATED)
[[[{"answer_block":"52 + (87 - 7) + ((63 - 56) - (50 - 44) - 1) = 132","error":null,"final_answer":1(...TRUNCATED)
"Using ALL of the numbers 7, 1, 49, 7, 28, 59, 3, 44, create an expression that equals 521. You must(...TRUNCATED)
"{\"numbers\": [7, 1, 49, 7, 28, 59, 3, 44], \"target\": 521, \"operators_used\": [\"/\", \"*\", \"/(...TRUNCATED)
countdown
[{"content":"You are a helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**7, 1, 49, 7, 28, 59, 3, 44** \nWe must use **each number exactly (...TRUNCATED)
[ 122217 ]
[ 1 ]
[ [] ]
[["We are given the numbers: \n**7, 1, 49, 7, 28, 59, 3, 44** \nWe must use **each number exactly (...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["44 × ((59 - 49) + 3 - 1) - 7 + (7 - 7)","59 * (7 + 1) + 49 + (7 - 7) + (28 - 28)","44 * ((59 - (...TRUNCATED)
[[[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,f(...TRUNCATED)
[[[{"answer_block":"44 * ((59 - 49) + 3 - 1) - 7 + (7 - 7)","error":"Expression uses an unavailable (...TRUNCATED)
"Using ALL of the numbers 97, 4, 93, 26, 3, 24, 20, 31, create an expression that equals 620. You mu(...TRUNCATED)
"{\"numbers\": [97, 4, 93, 26, 3, 24, 20, 31], \"target\": 620, \"operators_used\": [\"-\", \"/\", \(...TRUNCATED)
countdown
[{"content":"You are a helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**97, 4, 93, 26, 3, 24, 20, 31** \nWe must use **each number exactl(...TRUNCATED)
[ 120921 ]
[ 1 ]
[ [] ]
[["We are given the numbers: \n**97, 4, 93, 26, 3, 24, 20, 31** \nWe must use **each number exactl(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["(24 * 26) - 4 + (31 * 3) - 93 + (97 - 97)","31 * 20 + (97 - 97) + (93 - 93) + (26 - 26) + (24 - (...TRUNCATED)
[[[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,f(...TRUNCATED)
[[[{"answer_block":"(24 * 26) - 4 + (31 * 3) - 93 + (97 - 97)","error":"Expression uses an unavailab(...TRUNCATED)
"Using ALL of the numbers 45, 69, 55, 40, 1, 9, 8, 83, create an expression that equals 913. You mus(...TRUNCATED)
"{\"numbers\": [45, 69, 55, 40, 1, 9, 8, 83], \"target\": 913, \"operators_used\": [\"*\", \"+\", \"(...TRUNCATED)
countdown
[{"content":"You are a helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**45, 69, 55, 40, 1, 9, 8, 83** \nWe must use **each number exactly(...TRUNCATED)
[ 66116 ]
[ 72 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers: \n**45, 69, 55, 40, 1, 9, 8, 83** \nWe must use **each number exactly(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["83 × ((69 + 40 + 1) - (55 + 45) + (9 - 8)) = 913"],["83 × ((45 / 9) + (40 / 8) + 1) × (69 / 6(...TRUNCATED)
[[[true],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[fa(...TRUNCATED)
[[[{"answer_block":"83 * ((69 + 40 + 1) - (55 + 45) + (9 - 8)) = 913","error":null,"final_answer":91(...TRUNCATED)
"Using ALL of the numbers 72, 3, 67, 1, 43, 1, 93, 53, create an expression that equals 145. You mus(...TRUNCATED)
"{\"numbers\": [72, 3, 67, 1, 43, 1, 93, 53], \"target\": 145, \"operators_used\": [\"/\", \"-\", \"(...TRUNCATED)
countdown
[{"content":"You are a helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**72, 3, 67, 1, 43, 1, 93, 53** \nWe must use **each number exactly(...TRUNCATED)
[ 65811 ]
[ 66 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers: \n**72, 3, 67, 1, 43, 1, 93, 53** \nWe must use **each number exactly(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["67 + 43 + (72 - ((93 - 53) - 3)) + (1 - 1)"],["67 + 43 + (72 - ((93 - 53) - 3)) + (1 - 1)"],["67(...TRUNCATED)
[[[true],[true],[true],[false],[false],[false],[false],[false],[false],[false],[false],[false],[fals(...TRUNCATED)
[[[{"answer_block":"67 + 43 + (72 - ((93 - 53) - 3)) + (1 - 1)","error":null,"final_answer":145.0,"i(...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 helpful assistant that solves math problems by reasoning step-by-step. Show y(...TRUNCATED)
[["We are given the numbers: \n**13, 1, 13, 68, 2, 2, 93, 62** \nWe must use **each number exactly(...TRUNCATED)
[ 65686 ]
[ 57 ]
[["Think about it differently. Try a new approach to solve this problem. Remember to consider using (...TRUNCATED)
[["We are given the numbers: \n**13, 1, 13, 68, 2, 2, 93, 62** \nWe must use **each number exactly(...TRUNCATED)
iterative
[ "budget_reached" ]
[ null ]
false
[ 0 ]
[[["93 + 68 - 62 + 2 + 1 + 13 - 13"],["(93 + 13) - ((68 - 62) - (2 / 1)) * (13 / 13)"],["93 + (68 - (...TRUNCATED)
[[[false],[false],[false,false,false],[false],[false],[false],[false],[false],[false],[false],[false(...TRUNCATED)
[[[{"answer_block":"93 + 68 - 62 + 2 + 1 + 13 - 13","error":"Expression must use ALL available numbe(...TRUNCATED)
End of preview. Expand in Data Studio

EAS-Qwen3-4B-Instruct-2507-cd8arg-ophint-iterative-64k

Countdown reasoning with iterative strategy to 65536 tokens

Dataset Info

  • Rows: 100
  • Columns: 17

Columns

Column Type Description
question Value('string') The countdown problem statement
metadata Value('string') JSON with target number, available numbers, and solution
task_source Value('string') Task type identifier (countdown)
formatted_prompt List({'content': Value('string'), 'role': Value('string')}) Initial prompt messages sent to the model
responses_by_sample List(List(Value('string'))) Full model response [sample_idx][round_idx] = response string
tokens_by_sample List(Value('int64')) Total token count for each sample (based on continuation_text)
num_rounds_by_sample List(Value('int64')) Number of continuation rounds for each sample
continuation_prompts_by_sample List(List(Value('string'))) Continuation prompts used [sample_idx][round_idx] = prompt string
continuation_text_by_sample List(List(Value('string'))) Truncated text used for continuation [sample_idx][round_idx]. For budget_forcing: truncated at first tag. For other strategies: same as responses_by_sample.
strategy_type Value('string') Prompting strategy: 'iterative', 'budget_forcing', or 'random_noise'
termination_reason_by_sample List(Value('string')) Why each sample terminated: 'max_rounds_reached', 'budget_reached', or 'answer_correct'
correct_round_by_sample List(Value('null')) Round number where correct answer was first found (None if never correct)
smart_termination_enabled Value('bool') Whether smart termination was enabled for this run
retry_count_by_sample List(Value('int64')) Total retry attempts per sample due to empty or too-short responses (0 if no retries needed)
answers_by_sample List(List(List(Value('string')))) Extracted answer spans [sample][round][answer_idx]
evals_by_sample List(List(List(Value('bool')))) Correctness evaluations [sample][round][answer_idx]
eval_metadata_by_sample List(List(List({'answer_block': Value('string'), 'error': Value('string'), 'final_answer': Value('float64'), 'is_correct': Value('bool')}))) Evaluation details [sample][round][answer_idx]

Generation Parameters

{
  "script_name": "stage_01_generate_reasoning.py",
  "model": "hosted_vllm/Qwen/Qwen3-4B-Instruct-2507<api_base>http://10.32.37.8:13080/v1",
  "hyperparameters": {
    "temperature": 0.7,
    "max_tokens_per_round": 65536,
    "target_total_tokens": 65536,
    "samples": 1,
    "strategy": "iterative",
    "max_rounds": null,
    "min_tokens": null,
    "max_retries_per_round": -1,
    "max_total_tokens": 68000
  },
  "input_datasets": [],
  "description": "Countdown reasoning with iterative strategy to 65536 tokens",
  "experiment": "degen_test_1_countdown",
  "strategy": "iterative",
  "arg_count": 8,
  "seed": 42,
  "smart_termination": false,
  "max_rounds": null,
  "min_tokens": null,
  "inference_backend": "inference_engine",
  "prompt_config": "operator_hint",
  "status": "completed",
  "completed_at": "2026-01-13T04:36:23.332126"
}

Experiment Documentation

For complete experiment details, see https://github.com/TAUR-Lab/Reasoning-Horizons/tree/main/experiments/degen_test_1_countdown

Usage

from datasets import load_dataset

dataset = load_dataset("reasoning-degeneration-dev/EAS-Qwen3-4B-Instruct-2507-cd8arg-ophint-iterative-64k", split="train")
print(f"Loaded {len(dataset)} rows")

This dataset is tracked in reasoning-degeneration-dev/PROJECT-MANIFEST

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