question
stringclasses 5
values | metadata
stringclasses 5
values | task_source
stringclasses 1
value | formatted_prompt
listlengths 2
2
| responses_by_sample
listlengths 2
2
| tokens_by_sample
listlengths 2
2
| num_rounds_by_sample
listlengths 2
2
| continuation_prompts_by_sample
listlengths 2
2
| continuation_text_by_sample
listlengths 2
2
| strategy_type
stringclasses 1
value | termination_reason_by_sample
listlengths 2
2
| correct_round_by_sample
listlengths 2
2
| smart_termination_enabled
bool 1
class | retry_count_by_sample
listlengths 2
2
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Using ALL of the numbers 76, 55, 5, 4, create an expression that equals 122. You must use each number exactly once. You may use +, -, *, /.
|
{"numbers": [76, 55, 5, 4], "target": 122, "operators_used": ["+", "-", "-"], "expression": "76 + 55 - 5 - 4"}
|
countdown
|
[
{
"content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. You MUST use ALL of the given numbers exactly once in your solution. When you have a final answer, wrap it in <answer></answer> tags.",
"role": "system"
},
{
"content": "Using ALL of the numbers 76, 55, 5, 4, create an expression that equals 122. You must use each number exactly once. You may use +, -, *, /.",
"role": "user"
}
] |
[
[
"I need to get 122.\nAvailable numbers: [76, 55, 5, 4]\n\nWhat if I compute 76 + 5?\n76 + 5 = 81.\n\nLet me try 81 + 4.\nThat gives 81 + 4 = 85.\nGot 85, need 37 more.\n\nTrying 55 * 85.\n55 * 85 = 4675.\n\nWait, let me try a different approach.\n\nThis path doesn't lead to 122. Backtracking...\n\nThis path doesn't lead to 122. Backtracking...\n\nLet's see: 136 + 4.\n136 + 4 = 140.\nThat's 140. Still need 18.\n\nThat doesn't work. Let me try something else.\n\nWe get 55 + 85 = 140.\nThat's 140. Still need 18.\n\nThis path doesn't lead to 122. Backtracking...\n\n\nReached token budget without finding the target.\n\nMy best attempt gets me to 140, which is 18 away from 122.\n<answer>140</answer>"
],
[
"I need to get 122.\nAvailable numbers: [76, 55, 5, 4]\n\nSo 55 + 76 = 131.\n\nLet me try 131 - 5.\nWe get 131 - 5 = 126.\n\nWe get 126 - 4 = 122.\nYes! 122 equals the target 122.\n\n<answer>122</answer>"
]
] |
[
174,
57
] |
[
1,
1
] |
[
[],
[]
] |
[
[],
[]
] |
dfs_baseline
|
[
"budget_reached",
"answer_correct"
] |
[
null,
0
] | true
|
[
0,
0
] |
Using ALL of the numbers 45, 78, 34, 4, create an expression that equals 886. You must use each number exactly once. You may use +, -, *, /.
|
{"numbers": [45, 78, 34, 4], "target": 886, "operators_used": ["*", "+", "/"], "expression": "45 * 78 + 34 / 4"}
|
countdown
|
[
{
"content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. You MUST use ALL of the given numbers exactly once in your solution. When you have a final answer, wrap it in <answer></answer> tags.",
"role": "system"
},
{
"content": "Using ALL of the numbers 45, 78, 34, 4, create an expression that equals 886. You must use each number exactly once. You may use +, -, *, /.",
"role": "user"
}
] |
[
[
"Target: 886. Let me think...\nAvailable numbers: [45, 78, 34, 4]\n\n78 * 4 = 312.\nNow I have 312. I need 574 more to reach 886.\n\nTrying 45 + 312.\nWe get 45 + 312 = 357.\n\nTrying 34 + 357.\nSo 34 + 357 = 391.\n\nThat doesn't work. Let me try something else.\n\nThat doesn't work. Let me try something else.\n\nThis path doesn't lead to 886. Backtracking...\n\n\nNo valid path found after extensive search.\n\nMy best attempt gets me to 391, which is 495 away from 886.\n<answer>391</answer>"
],
[
"Let's find a way to make 886.\nAvailable numbers: [45, 78, 34, 4]\n\nTrying 78 * 4.\nSo 78 * 4 = 312.\nThat's 312. Still need 574.\n\n1530 - 78 = 1452.\n\nLet's see: 1530 + 312.\n1530 + 312 = 1842.\n\nThat doesn't work. Let me try something else.\n\nThat doesn't work. Let me try something else.\n\nHmm, that's not right. Let me try again.\n\nTrying 1530 - 312.\n1530 - 312 = 1218.\n\nThis path doesn't lead to 886. Backtracking...\n\nThis path doesn't lead to 886. Backtracking...\n\nWait, let me try a different approach.\n\nSo 1452 / 4 = 363.\n\nThis path doesn't lead to 886. Backtracking...\n\nHmm, that's not right. Let me try again.\n\nThis path doesn't lead to 886. Backtracking...\n\nLet's see: 45 + 312.\nSo 45 + 312 = 357.\nThat's 357. Still need 529.\n\nWe get 34 * 357 = 12138.\nGot 12138, need 11252 more.\n\nThat doesn't work. Let me try something else.\n\nSo 45 + 312 = 357.\nNow I have 357. I need 529 more to reach 886.\n\nLet me try 45 + 346.\n45 + 346 = 391.\n\nThis path doesn't lead to 886. Backtracking...\n\nWhat if I compute 34 + 357?\nSo 34 + 357 = 391.\nNow I have 391. I need 495 more to reach 886.\n\nHmm, that's not right. Let me try again.\n\nLet me try 34 + 357.\nSo 34 + 357 = 391.\n\nHmm, that's not right. Let me try again.\n\nThat doesn't work. Let me try something else.\n\nThat doesn't work. Let me try something else.\n\n\nI've tried many combinations but couldn't find a solution.\n\nMy best attempt gets me to 391, which is 495 away from 886.\n<answer>391</answer>"
]
] |
[
119,
373
] |
[
1,
1
] |
[
[],
[]
] |
[
[],
[]
] |
dfs_baseline
|
[
"budget_reached",
"budget_reached"
] |
[
null,
null
] | true
|
[
0,
0
] |
Using ALL of the numbers 91, 9, 6, 85, create an expression that equals 577. You must use each number exactly once. You may use +, -, *, /.
|
{"numbers": [91, 9, 6, 85], "target": 577, "operators_used": ["-", "*", "+"], "expression": "91 - 9 * 6 + 85"}
|
countdown
|
[
{
"content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. You MUST use ALL of the given numbers exactly once in your solution. When you have a final answer, wrap it in <answer></answer> tags.",
"role": "system"
},
{
"content": "Using ALL of the numbers 91, 9, 6, 85, create an expression that equals 577. You must use each number exactly once. You may use +, -, *, /.",
"role": "user"
}
] |
[
[
"I need to get 577.\nAvailable numbers: [91, 9, 6, 85]\n\nThat gives 91 * 6 = 546.\n\n91 + 510 = 601.\nThat's 601. Still need 24.\n\nTrying 601 - 9.\nSo 601 - 9 = 592.\n\nThat doesn't work. Let me try something else.\n\nSo 9 + 546 = 555.\nThat's 555. Still need 22.\n\n85 + 555 = 640.\n\nWait, let me try a different approach.\n\nLet me try 9 + 546.\nSo 9 + 546 = 555.\n\nLet's see: 85 + 555.\nSo 85 + 555 = 640.\nNow I have 640. I need 63 more to reach 577.\n\nHmm, that's not right. Let me try again.\n\n\nReached token budget without finding the target.\n\nMy best attempt gets me to 640, which is 63 away from 577.\n<answer>640</answer>"
],
[
"Let's find a way to make 577.\nAvailable numbers: [91, 9, 6, 85]\n\nSo 85 * 6 = 510.\n\n510 + 9 = 519.\nThat's 519. Still need 58.\n\nThat gives 519 - 91 = 428.\nGot 428, need 149 more.\n\nHmm, that's not right. Let me try again.\n\n\nI've tried many combinations but couldn't find a solution.\n\nMy best attempt gets me to 428, which is 149 away from 577.\n<answer>428</answer>"
]
] |
[
171,
93
] |
[
1,
1
] |
[
[],
[]
] |
[
[],
[]
] |
dfs_baseline
|
[
"budget_reached",
"budget_reached"
] |
[
null,
null
] | true
|
[
0,
0
] |
Using ALL of the numbers 66, 64, 12, 1, create an expression that equals 142. You must use each number exactly once. You may use +, -, *, /.
|
{"numbers": [66, 64, 12, 1], "target": 142, "operators_used": ["+", "+", "/"], "expression": "66 + 64 + 12 / 1"}
|
countdown
|
[
{
"content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. You MUST use ALL of the given numbers exactly once in your solution. When you have a final answer, wrap it in <answer></answer> tags.",
"role": "system"
},
{
"content": "Using ALL of the numbers 66, 64, 12, 1, create an expression that equals 142. You must use each number exactly once. You may use +, -, *, /.",
"role": "user"
}
] |
[
[
"Let's find a way to make 142.\nAvailable numbers: [66, 64, 12, 1]\n\nThat gives 66 + 12 = 78.\n\nWhat if I compute 64 + 78?\nThat gives 64 + 78 = 142.\nGot it: 142 = 142.\n\n<answer>142</answer>"
],
[
"I need to get 142.\nAvailable numbers: [66, 64, 12, 1]\n\nSo 66 + 64 = 130.\n\nSo 12 + 130 = 142.\nThat's it! I found 142.\n\n<answer>142</answer>"
]
] |
[
52,
37
] |
[
1,
1
] |
[
[],
[]
] |
[
[],
[]
] |
dfs_baseline
|
[
"answer_correct",
"answer_correct"
] |
[
0,
0
] | true
|
[
0,
0
] |
Using ALL of the numbers 15, 47, 40, 31, create an expression that equals 696. You must use each number exactly once. You may use +, -, *, /.
|
{"numbers": [15, 47, 40, 31], "target": 696, "operators_used": ["*", "-", "+"], "expression": "15 * 47 - 40 + 31"}
|
countdown
|
[
{
"content": "You are a helpful assistant that solves math problems by reasoning step-by-step. Show your work clearly and provide complete solutions. You MUST use ALL of the given numbers exactly once in your solution. When you have a final answer, wrap it in <answer></answer> tags.",
"role": "system"
},
{
"content": "Using ALL of the numbers 15, 47, 40, 31, create an expression that equals 696. You must use each number exactly once. You may use +, -, *, /.",
"role": "user"
}
] |
[
[
"Target: 696. Let me think...\nAvailable numbers: [15, 47, 40, 31]\n\nWhat if I compute 15 * 47?\nWe get 15 * 47 = 705.\n\nLet me try 705 - 31.\nThat gives 705 - 31 = 674.\nNow I have 674. I need 22 more to reach 696.\n\nTrying 40 + 674.\nWe get 40 + 674 = 714.\n\nThat doesn't work. Let me try something else.\n\n\nReached token budget without finding the target.\n\nMy best attempt gets me to 714, which is 18 away from 696.\n<answer>714</answer>"
],
[
"My goal is 696.\nAvailable numbers: [15, 47, 40, 31]\n\nThat gives 15 * 47 = 705.\n\nWe get 705 - 31 = 674.\n\nSo 40 + 674 = 714.\n\nThis path doesn't lead to 696. Backtracking...\n\n\nNo valid path found after extensive search.\n\nMy best attempt gets me to 714, which is 18 away from 696.\n<answer>714</answer>"
]
] |
[
115,
75
] |
[
1,
1
] |
[
[],
[]
] |
[
[],
[]
] |
dfs_baseline
|
[
"budget_reached",
"budget_reached"
] |
[
null,
null
] | true
|
[
0,
0
] |
test-dfs-baseline
Countdown reasoning with dfs_baseline strategy to 2000 tokens
Dataset Info
- Rows: 5
- Columns: 14
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('null'))) | Continuation prompts used [sample_idx][round_idx] = prompt string |
| continuation_text_by_sample | List(List(Value('null'))) | 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('int64')) | 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) |
Generation Parameters
{
"script_name": "stage_01_generate_reasoning.py",
"model": "dfs_baseline",
"hyperparameters": {
"temperature": 0.7,
"max_tokens_per_round": 2000,
"target_total_tokens": 2000,
"samples": 2,
"strategy": "dfs_baseline",
"max_rounds": null,
"min_tokens": null,
"max_retries_per_round": -1
},
"input_datasets": [],
"description": "Countdown reasoning with dfs_baseline strategy to 2000 tokens",
"experiment": "degen_test_1_countdown",
"strategy": "dfs_baseline",
"arg_count": 4,
"seed": 42,
"smart_termination": false,
"max_rounds": null,
"min_tokens": null,
"inference_backend": "curator",
"status": "completed",
"completed_at": "2026-01-01T23:15:22.836847"
}
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/test-dfs-baseline", split="train")
print(f"Loaded {len(dataset)} rows")
This dataset is tracked in reasoning-degeneration-dev/PROJECT-MANIFEST
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