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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) | [["Okay, let's try to figure out how to make 109 using all the numbers 12, 4, 7, 1, 2, 5, 21, 88 exa(...TRUNCATED) | [
34989
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7
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"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) | [["Okay, let's see. I need to use all the numbers 25, 69, 58, 14, 55, 24, 36, 60 exactly once with +(...TRUNCATED) | [
40351
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1
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[]
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"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) | [["Okay, so I need to make an expression that equals 245 using all the numbers 55, 36, 6, 3, 14, 99,(...TRUNCATED) | [
45813
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3
] | [["veniam elit dolor veniam sit magna Continue exploring alternative solution strategies.","elit dol(...TRUNCATED) | [["Okay, so I need to make an expression that equals 245 using all the numbers 55, 36, 6, 3, 14, 99,(...TRUNCATED) | random_noise | [
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null
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0
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"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) | [["Okay, let's try to figure out how to make 281 using all the numbers 87, 87, 29, 2, 19, 4, 1, 1. H(...TRUNCATED) | [
38861
] | [
3
] | [["lorem ipsum ut labore nostrud ut amet tempor eiusmod sed lorem sit adipiscing sed labore Continue(...TRUNCATED) | [["Okay, let's try to figure out how to make 281 using all the numbers 87, 87, 29, 2, 19, 4, 1, 1. H(...TRUNCATED) | random_noise | [
"budget_reached"
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null
] | false | [
0
] | [[["87 + 87 + 29 + (19 * 4) + 2 + 1 - 1"],["87 + 87 + 29 + (19 * 4) + 2 + 1 - 1"],["(87 + 87) * 1 + (...TRUNCATED) | [
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[
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] | [[[{"answer_block":"87 + 87 + 29 + (19 * 4) + 2 + 1 - 1","error":null,"final_answer":281.0,"is_corre(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"arith:87+87->174","end_char":510,"end_char_in_round":510,"is_legal(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"expr:87+87=174","end_char":512,"end_char_in_round":512,"eval_value(...TRUNCATED) | [[{"canonical_key":"subgoal:281","confidence":0.75,"end_char":253,"end_char_in_round":253,"goal_valu(...TRUNCATED) | [[{"end_char":437,"end_char_in_round":437,"marker_type":"too_big","round_idx":0,"span_text":"too big(...TRUNCATED) | [[{"branch_id":0,"end_char":609,"end_char_in_round":609,"evidence_kind":"goal","evidence_text":"targ(...TRUNCATED) | [[{"branch_id":0,"end_char":7949,"end_char_in_round":7949,"round_idx":0,"start_char":0,"start_char_i(...TRUNCATED) | [{"attempts_with_branch":1438,"attempts_with_subgoal":1376,"legal_expression_initial":452,"legal_ini(...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) | [["Okay, let's see. I need to use all the numbers 56, 63, 7, 50, 44, 1, 87, 52 exactly once with +, (...TRUNCATED) | [
38969
] | [
5
] | [["consectetur consectetur labore dolore minim sed veniam Continue exploring alternative solution st(...TRUNCATED) | [["Okay, let's see. I need to use all the numbers 56, 63, 7, 50, 44, 1, 87, 52 exactly once with +, (...TRUNCATED) | random_noise | [
"budget_reached"
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null
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"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) | [["Okay, let's see. I need to make an expression using all the numbers 7, 1, 49, 7, 28, 59, 3, 44 th(...TRUNCATED) | [
44144
] | [
1
] | [
[]
] | [["Okay, let's see. I need to make an expression using all the numbers 7, 1, 49, 7, 28, 59, 3, 44 th(...TRUNCATED) | random_noise | [
"budget_reached"
] | [
null
] | false | [
0
] | [[["59 * 7 + 44 * 3 + 28 - 49 - 7 - 1 + 7","59*7 + 44*3 + 28 - 49 - 7 - 1","7 * (59 + 49 - 28 - 7 + (...TRUNCATED) | [
[
[
false,
false,
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] | [[[{"answer_block":"59 * 7 + 44 * 3 + 28 - 49 - 7 - 1 + 7","error":"Expression does not equal stated(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"arith:1+7->8","end_char":665,"end_char_in_round":665,"is_legal":tr(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"expr:7+1=8","end_char":665,"end_char_in_round":665,"eval_value":"8(...TRUNCATED) | [[{"canonical_key":"subgoal:12","confidence":0.85,"end_char":2463,"end_char_in_round":2463,"goal_val(...TRUNCATED) | [[{"end_char":3554,"end_char_in_round":3554,"marker_type":"too_big","round_idx":0,"span_text":"too b(...TRUNCATED) | [[{"branch_id":0,"end_char":3470,"end_char_in_round":3470,"evidence_kind":"need","evidence_text":"ne(...TRUNCATED) | [[{"branch_id":0,"end_char":58138,"end_char_in_round":58138,"round_idx":0,"start_char":0,"start_char(...TRUNCATED) | [{"attempts_with_branch":924,"attempts_with_subgoal":901,"legal_expression_initial":203,"legal_initi(...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) | [["Okay, let's try to figure out how to make 620 using all the numbers 97, 4, 93, 26, 3, 24, 20, 31 (...TRUNCATED) | [
39972
] | [
8
] | [["dolore ut aliqua dolor sit do consectetur dolor veniam quis amet dolore Continue exploring altern(...TRUNCATED) | [["Okay, let's try to figure out how to make 620 using all the numbers 97, 4, 93, 26, 3, 24, 20, 31 (...TRUNCATED) | random_noise | [
"budget_reached"
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null
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462
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"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) | [["Okay, let's try to figure out how to make 913 using all the numbers 45, 69, 55, 40, 1, 9, 8, 83 e(...TRUNCATED) | [
36105
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8
] | [["adipiscing dolore magna quis aliqua consectetur Continue exploring alternative solution strategie(...TRUNCATED) | [["Okay, let's try to figure out how to make 913 using all the numbers 45, 69, 55, 40, 1, 9, 8, 83 e(...TRUNCATED) | random_noise | [
"budget_reached"
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null
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462
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"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) | [["Okay, let's try to solve this problem. We need to use all the numbers 72, 3, 67, 1, 43, 1, 93, 53(...TRUNCATED) | [
33885
] | [
2
] | [["adipiscing consectetur sed magna ad amet veniam minim do Continue exploring alternative solution (...TRUNCATED) | [["Okay, let's try to solve this problem. We need to use all the numbers 72, 3, 67, 1, 43, 1, 93, 53(...TRUNCATED) | random_noise | [
"budget_reached"
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null
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0
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[
[
"72 + 3 + 67 + 43 + 53 + 1 - 93 - 1"
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[
"72 + 3 + 67 + 43 + 53 - 93 + (1 - 1)"
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] | [
[
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] | [[[{"answer_block":"72 + 3 + 67 + 43 + 53 + 1 - 93 - 1","error":null,"final_answer":145.0,"is_correc(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"arith:53+93->146","end_char":793,"end_char_in_round":793,"is_legal(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"expr:93+53=146","end_char":793,"end_char_in_round":793,"eval_value(...TRUNCATED) | [[{"canonical_key":"subgoal:145","confidence":0.75,"end_char":433,"end_char_in_round":433,"goal_valu(...TRUNCATED) | [[{"end_char":2463,"end_char_in_round":2463,"marker_type":"too_low","round_idx":0,"span_text":"too l(...TRUNCATED) | [[{"branch_id":0,"end_char":3012,"end_char_in_round":3012,"evidence_kind":"goal","evidence_text":"ta(...TRUNCATED) | [[{"branch_id":0,"end_char":23520,"end_char_in_round":23520,"round_idx":0,"start_char":0,"start_char(...TRUNCATED) | [{"attempts_with_branch":835,"attempts_with_subgoal":638,"legal_expression_initial":311,"legal_initi(...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) | [["Okay, let's try to figure out how to make 102 using all the numbers 13, 1, 13, 68, 2, 2, 93, 62. (...TRUNCATED) | [
33912
] | [
7
] | [["veniam consectetur do veniam enim ad Continue exploring alternative solution strategies.","tempor(...TRUNCATED) | [["Okay, let's try to figure out how to make 102 using all the numbers 13, 1, 13, 68, 2, 2, 93, 62. (...TRUNCATED) | random_noise | [
"budget_reached"
] | [
null
] | false | [
461
] | [[["((68 / 2) * (2 + 1) * ((93 - 62) / (93 - 62)) * (13 / 13))"],["68 + (93 - 62) + (2 + 1) + (13 - (...TRUNCATED) | [
[
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[
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] | [[[{"answer_block":"((68 / 2) * (2 + 1) * ((93 - 62) / (93 - 62)) * (13 / 13))","error":"Expression (...TRUNCATED) | [[{"branch_id":0,"canonical_key":"arith:102-93->9","end_char":605,"end_char_in_round":605,"is_legal"(...TRUNCATED) | [[{"branch_id":0,"canonical_key":"expr:102-93=9","end_char":605,"end_char_in_round":605,"eval_value"(...TRUNCATED) | [[{"canonical_key":"subgoal:34","confidence":0.9,"end_char":1048,"end_char_in_round":1048,"goal_valu(...TRUNCATED) | [[{"end_char":1218,"end_char_in_round":1218,"marker_type":"not_helpful","round_idx":0,"span_text":"N(...TRUNCATED) | [[{"branch_id":0,"end_char":1265,"end_char_in_round":1265,"evidence_kind":"need","evidence_text":"ne(...TRUNCATED) | [[{"branch_id":0,"end_char":28237,"end_char_in_round":28237,"round_idx":0,"start_char":0,"start_char(...TRUNCATED) | [{"attempts_with_branch":855,"attempts_with_subgoal":761,"legal_expression_initial":287,"legal_initi(...TRUNCATED) |
End of preview. Expand in Data Studio
EAS-Qwen3-30B-A3B-Thinking-2507-cd8arg-random_noise-stage02a
Deterministic extraction of arithmetic attempts, expressions, subgoals, branches, and failure markers from Countdown reasoning traces
Dataset Info
- Rows: 100
- Columns: 24
Columns
| Column | Type | Description |
|---|---|---|
| question | Value('string') | No description provided |
| metadata | Value('string') | No description provided |
| task_source | Value('string') | No description provided |
| formatted_prompt | List({'content': Value('string'), 'role': Value('string')}) | No description provided |
| responses_by_sample | List(List(Value('string'))) | No description provided |
| tokens_by_sample | List(Value('int64')) | No description provided |
| num_rounds_by_sample | List(Value('int64')) | No description provided |
| continuation_prompts_by_sample | List(List(Value('string'))) | No description provided |
| continuation_text_by_sample | List(List(Value('string'))) | No description provided |
| strategy_type | Value('string') | No description provided |
| termination_reason_by_sample | List(Value('string')) | No description provided |
| correct_round_by_sample | List(Value('null')) | No description provided |
| smart_termination_enabled | Value('bool') | No description provided |
| retry_count_by_sample | List(Value('int64')) | No description provided |
| answers_by_sample | List(List(List(Value('string')))) | No description provided |
| evals_by_sample | List(List(List(Value('bool')))) | No description provided |
| eval_metadata_by_sample | List(List(List({'answer_block': Value('string'), 'error': Value('string'), 'final_answer': Value('float64'), 'is_correct': Value('bool')}))) | No description provided |
| arithmetic_attempts_by_sample | List(List({'branch_id': Value('int64'), 'canonical_key': Value('string'), 'end_char': Value('int64'), 'end_char_in_round': Value('int64'), 'is_legal': Value('bool'), 'is_valid_arithmetic': Value('bool'), 'match_type': Value('string'), 'operand_a': Value('float64'), 'operand_a_str': Value('string'), 'operand_b': Value('float64'), 'operand_b_str': Value('string'), 'operator': Value('string'), 'operator_raw': Value('string'), 'result': Value('float64'), 'result_str': Value('string'), 'round_idx': Value('int64'), 'separator_raw': Value('string'), 'span_text': Value('string'), 'start_char': Value('int64'), 'start_char_in_round': Value('int64'), 'subgoal_id': Value('int64'), 'subgoal_value': Value('int64')})) | List of extracted binary arithmetic operations (A op B = C) per sample with spans and validation |
| expression_attempts_by_sample | List(List({'branch_id': Value('int64'), 'canonical_key': Value('string'), 'end_char': Value('int64'), 'end_char_in_round': Value('int64'), 'eval_value': Value('string'), 'expression': Value('string'), 'is_legal_initial': Value('bool'), 'is_valid_arithmetic': Value('bool'), 'numbers_used': List(Value('int64')), 'ops_used': List(Value('string')), 'relation': Value('string'), 'relation_raw': Value('string'), 'rhs': Value('string'), 'rhs_eval_value': Value('string'), 'round_idx': Value('int64'), 'source_kind': Value('string'), 'span_text': Value('string'), 'start_char': Value('int64'), 'start_char_in_round': Value('int64'), 'subgoal_id': Value('int64'), 'subgoal_value': Value('int64')})) | List of extracted LHS = RHS expressions per sample with evaluation info |
| subgoals_by_sample | List(List({'canonical_key': Value('string'), 'confidence': Value('float64'), 'end_char': Value('int64'), 'end_char_in_round': Value('int64'), 'goal_value': Value('int64'), 'kind': Value('string'), 'round_idx': Value('int64'), 'span_text': Value('string'), 'start_char': Value('int64'), 'start_char_in_round': Value('int64')})) | List of detected subgoal markers (goal, need, intermediate, eval_zero, make_zero) per sample with kind and confidence |
| failure_markers_by_sample | List(List({'end_char': Value('int64'), 'end_char_in_round': Value('int64'), 'marker_type': Value('string'), 'round_idx': Value('int64'), 'span_text': Value('string'), 'start_char': Value('int64'), 'start_char_in_round': Value('int64')})) | List of detected failure/backtrack markers per sample |
| subgoal_windows_by_sample | List(List({'branch_id': Value('int64'), 'end_char': Value('int64'), 'end_char_in_round': Value('int64'), 'evidence_kind': Value('string'), 'evidence_text': Value('string'), 'round_idx': Value('int64'), 'start_char': Value('int64'), 'start_char_in_round': Value('int64'), 'subgoal_id': Value('int64'), 'value': Value('int64')})) | List of subgoal window spans (where a subgoal is active) per sample |
| branches_by_sample | List(List({'branch_id': Value('int64'), 'end_char': Value('int64'), 'end_char_in_round': Value('int64'), 'round_idx': Value('int64'), 'start_char': Value('int64'), 'start_char_in_round': Value('int64'), 'start_kind': Value('string'), 'start_label': Value('string'), 'start_text': Value('string')})) | List of branch segments (strategy/alternative sections) per sample |
| extraction_stats_by_sample | List({'attempts_with_branch': Value('int64'), 'attempts_with_subgoal': Value('int64'), 'legal_expression_initial': Value('int64'), 'legal_initial': Value('int64'), 'merged_text_length': Value('int64'), 'rounds_with_content': Value('int64'), 'subgoals_by_kind': {'eval_zero': Value('int64'), 'goal': Value('int64'), 'intermediate': Value('int64'), 'make_zero': Value('int64'), 'need': Value('int64'), 'need_more': Value('int64')}, 'total_attempts': Value('int64'), 'total_branches': Value('int64'), 'total_expression_attempts': Value('int64'), 'total_failure_markers': Value('int64'), 'total_subgoal_windows': Value('int64'), 'total_subgoals': Value('int64'), 'unique_canonical_keys': Value('int64'), 'unique_expression_keys': Value('int64'), 'valid_arithmetic': Value('int64'), 'valid_expression_arithmetic': Value('int64')}) | Summary statistics of extraction results per sample including subgoals_by_kind breakdown |
Generation Parameters
{
"script_name": "stage_02a_extract_attempts.py",
"model": "deterministic_parser",
"hyperparameters": {},
"input_datasets": [
"reasoning-degeneration-dev/EAS-Qwen3-30B-A3B-Thinking-2507-cd8arg-random_noise"
],
"description": "Deterministic extraction of arithmetic attempts, expressions, subgoals, branches, and failure markers from Countdown reasoning traces"
}
Experiment Documentation
For complete experiment details, see https://github.com/reasoning-degeneration/ReasoningDegeneration/tree/main/experiments/degen_test_1_countdown/documentation
Usage
from datasets import load_dataset
dataset = load_dataset("reasoning-degeneration-dev/EAS-Qwen3-30B-A3B-Thinking-2507-cd8arg-random_noise-stage02a", split="train")
print(f"Loaded {len(dataset)} rows")
This dataset is tracked in reasoning-degeneration-dev/PROJECT-MANIFEST
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