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1
"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)
[ 32927 ]
[ 81 ]
[["enim sed ut quis incididunt aliqua et dolor Continue exploring alternative solution strategies.",(...TRUNCATED)
[["We are given the numbers: \n**12, 4, 7, 1, 2, 5, 21, 88** \nWe must use **each number exactly o(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["88 + 21 + (12 - 4) * ((7 * 1) - (5 + 2))"],["88 + 21 + (12 - 4) * ((7 * 1) - (5 + 2))"],["88 + 2(...TRUNCATED)
[[[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],(...TRUNCATED)
[[[{"answer_block":"88 + 21 + (12 - 4) * ((7 * 1) - (5 + 2))","error":null,"final_answer":109.0,"is_(...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 **each number exac(...TRUNCATED)
[ 56054 ]
[ 1 ]
[ [] ]
[["We are given the numbers: \n**25, 69, 58, 14, 55, 24, 36, 60** \nWe must use **each number exac(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["60 + 55 + 36 + 25 + (69 + 14 - 58 - 24) - 1","60 + 55 + 36 + 25 + (69 - 58) - (24 - 14)","25 + 6(...TRUNCATED)
[[[false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,f(...TRUNCATED)
[[[{"answer_block":"60 + 55 + 36 + 25 + (69 + 14 - 58 - 24) - 1","error":"Expression uses an unavail(...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\n**55, 36, 6, 3, 14, 99, 17, 82**\n\nWe must use **each number exactl(...TRUNCATED)
[ 33439 ]
[ 19 ]
[["quis sit dolore lorem ipsum nostrud magna sed elit ut Continue exploring alternative solution str(...TRUNCATED)
[["We are given the numbers:\n\n**55, 36, 6, 3, 14, 99, 17, 82**\n\nWe must use **each number exactl(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["((82 / (6 / 3)) + 99 + 55 + 36 + 14) * (17 / 17) = 245"],["((82 / (6 / 3)) + 99 + 55 + 36 + 14) (...TRUNCATED)
[[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[f(...TRUNCATED)
[[[{"answer_block":"((82 / (6 / 3)) + 99 + 55 + 36 + 14) * (17 / 17) = 245","error":"Expression uses(...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)
[ 34229 ]
[ 15 ]
[["tempor lorem veniam amet dolor tempor quis ad tempor ut sit consectetur enim Continue exploring a(...TRUNCATED)
[["We are given the numbers: \n**87, 87, 29, 2, 19, 4, 1, 1** \nWe must use **each number exactly (...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["87 × ((4 + 2) / (1 + 1)) + 19 + 1 + (87 - 87)"],["87 + 87 + (29 × ((4 + 2) / (1 + 1))) + 19 + (...TRUNCATED)
[[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[f(...TRUNCATED)
[[[{"answer_block":"87 * ((4 + 2) / (1 + 1)) + 19 + 1 + (87 - 87)","error":"Expression uses an unava(...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**56, 63, 7, 50, 44, 1, 87, 52** \nWe must use **each number exactl(...TRUNCATED)
[ 33212 ]
[ 31 ]
[["do sed enim dolor dolore dolor sed sed lorem elit aliqua lorem incididunt amet incididunt Continu(...TRUNCATED)
[["We are given the numbers: \n**56, 63, 7, 50, 44, 1, 87, 52** \nWe must use **each number exactl(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["87 + 44 + 1 + (50 - 52) * (63 - 56 - 7) = 132"],["87 + 52 - 7 + (63 - 56 - 1) - (50 - 44) = 132"(...TRUNCATED)
[[[true],[true,true],[true,true],[true],[true,true],[true,true],[true],[true,true],[true],[true,true(...TRUNCATED)
[[[{"answer_block":"87 + 44 + 1 + (50 - 52) * (63 - 56 - 7) = 132","error":null,"final_answer":132.0(...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)
[ 33323 ]
[ 34 ]
[["tempor eiusmod dolore tempor labore sit elit quis dolor minim Continue exploring alternative solu(...TRUNCATED)
[["We are given the numbers: \n**7, 1, 49, 7, 28, 59, 3, 44** \nWe must use **each number exactly (...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["(59 * ((28 / 7) + 3 + 1)) + 49 + (7 - 7) * 44"],["(59 * ((28 / 7) + 3 + 1)) + 49 + (7 - 7) * 44"(...TRUNCATED)
[[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[f(...TRUNCATED)
[[[{"answer_block":"(59 * ((28 / 7) + 3 + 1)) + 49 + (7 - 7) * 44","error":"Expression uses an unava(...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\n**97, 4, 93, 26, 3, 24, 20, 31**\n\nWe must **use each number exactl(...TRUNCATED)
[ 33122 ]
[ 15 ]
[["elit dolor ut quis sit do incididunt tempor aliqua magna nostrud consectetur nostrud enim Continu(...TRUNCATED)
[["We are given the numbers:\n\n**97, 4, 93, 26, 3, 24, 20, 31**\n\nWe must **use each number exactl(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["(93 + 24) × 4 + 31 + 20 + 3 + 97 + (26 / 26)"],["(93 + 24) × 4 + 31 + 20 + 3 + 97 + (26 / 26)"(...TRUNCATED)
[[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[f(...TRUNCATED)
[[[{"answer_block":"(93 + 24) * 4 + 31 + 20 + 3 + 97 + (26 / 26)","error":"Expression uses an unavai(...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\n**45, 69, 55, 40, 1, 9, 8, 83**\n\nWe must use **each number exactly(...TRUNCATED)
[ 34237 ]
[ 17 ]
[["ipsum veniam do tempor amet adipiscing do ut ut amet magna amet Continue exploring alternative so(...TRUNCATED)
[["We are given the numbers:\n\n**45, 69, 55, 40, 1, 9, 8, 83**\n\nWe must use **each number exactly(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["83 × (69 + 40 + 1 - 55 - 45 + 9 - 8)"],["83 × (69 + 40 + 1 - 55 - 45 + 9 - 8)"],["83 × (69 + (...TRUNCATED)
[[[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],[true],(...TRUNCATED)
[[[{"answer_block":"83 * (69 + 40 + 1 - 55 - 45 + 9 - 8)","error":null,"final_answer":913.0,"is_corr(...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\n**72, 3, 67, 1, 43, 1, 93, 53**\n\nWe must use **each number exactly(...TRUNCATED)
[ 33256 ]
[ 14 ]
[["eiusmod ipsum lorem ipsum minim magna ipsum ut dolore ipsum et Continue exploring alternative sol(...TRUNCATED)
[["We are given the numbers:\n\n**72, 3, 67, 1, 43, 1, 93, 53**\n\nWe must use **each number exactly(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["72 + 67 + 3 * (1 + 1) = 145","72 + 67 + 3 * (1 + 1) = 145"],["72 + 67 + 3 * (1 + 1) = 145","72 +(...TRUNCATED)
[[[false,false],[false,false],[false],[false],[false],[false,false],[false],[false],[false],[false],(...TRUNCATED)
[[[{"answer_block":"72 + 67 + 3 * (1 + 1) = 145","error":"Expression must use ALL available numbers.(...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 **all of them exactly(...TRUNCATED)
[ 33112 ]
[ 30 ]
[["minim dolore elit sed labore Continue exploring alternative solution strategies.","amet nostrud s(...TRUNCATED)
[["We are given the numbers: \n**13, 1, 13, 68, 2, 2, 93, 62** \nWe must use **all of them exactly(...TRUNCATED)
random_noise
[ "budget_reached" ]
[ null ]
false
[[["(93 + 62 - 68 + 13 + 2) * 1 + (13 - 13) + (2 - 2)"],["(93 + 62 - 68 + 13 + 2) * 1 + (13 - 13) + (...TRUNCATED)
[[[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[false],[f(...TRUNCATED)
[[[{"answer_block":"(93 + 62 - 68 + 13 + 2) * 1 + (13 - 13) + (2 - 2)","error":"Expression uses an u(...TRUNCATED)
End of preview. Expand in Data Studio

EAS-qwen3-4B-Instruct-2507-cd8arg-random_noise

Countdown reasoning with random_noise strategy to 32768 tokens

Dataset Info

  • Rows: 100
  • Columns: 16

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
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://10.32.37.13:9080/v1",
  "hyperparameters": {
    "temperature": 0.7,
    "max_tokens_per_round": 32768,
    "target_total_tokens": 32768,
    "samples": 1,
    "strategy": "random_noise",
    "max_rounds": null
  },
  "input_datasets": [],
  "description": "Countdown reasoning with random_noise strategy to 32768 tokens",
  "experiment": "degen_test_1_countdown",
  "strategy": "random_noise",
  "arg_count": 8,
  "seed": 42,
  "smart_termination": false,
  "max_rounds": null,
  "status": "completed",
  "completed_at": "2025-12-22T09:49:05.948802"
}

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-random_noise", split="train")
print(f"Loaded {len(dataset)} rows")

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

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