prompt listlengths 2 2 | label dict | metadata dict |
|---|---|---|
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(0,0,0,0)",
"budget": 3745
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004188",
"normalized_example_id": "ex_004188",
"source_idx": 4188,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3745,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "800\\mathrm{~K}",
"budget": 1118
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004189",
"normalized_example_id": "ex_004189",
"source_idx": 4189,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1864,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "800\\mathrm{~K}",
"budget": 1491
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004189",
"normalized_example_id": "ex_004189",
"source_idx": 4189,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1864,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "800\\mathrm{~K}",
"budget": 1864
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004189",
"normalized_example_id": "ex_004189",
"source_idx": 4189,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1864,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "576=(4!)^{2}",
"budget": 1250
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004191",
"normalized_example_id": "ex_004191",
"source_idx": 4191,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2084,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "576=(4!)^{2}",
"budget": 1667
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004191",
"normalized_example_id": "ex_004191",
"source_idx": 4191,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2084,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "576=(4!)^{2}",
"budget": 2084
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004191",
"normalized_example_id": "ex_004191",
"source_idx": 4191,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2084,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 3095
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004192",
"normalized_example_id": "ex_004192",
"source_idx": 4192,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5159,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 4127
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004192",
"normalized_example_id": "ex_004192",
"source_idx": 4192,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5159,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 5159
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004192",
"normalized_example_id": "ex_004192",
"source_idx": 4192,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5159,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "Vasya",
"budget": 5014
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004195",
"normalized_example_id": "ex_004195",
"source_idx": 4195,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "Vasya",
"budget": 6685
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004195",
"normalized_example_id": "ex_004195",
"source_idx": 4195,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "Vasya",
"budget": 8356
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004195",
"normalized_example_id": "ex_004195",
"source_idx": 4195,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "A",
"budget": 2366
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004197",
"normalized_example_id": "ex_004197",
"source_idx": 4197,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3944,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "A",
"budget": 3155
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004197",
"normalized_example_id": "ex_004197",
"source_idx": 4197,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3944,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "A",
"budget": 3944
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004197",
"normalized_example_id": "ex_004197",
"source_idx": 4197,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3944,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{3+\\sqrt{5}}{2}",
"budget": 1383
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004198",
"normalized_example_id": "ex_004198",
"source_idx": 4198,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2305,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{3+\\sqrt{5}}{2}",
"budget": 1844
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004198",
"normalized_example_id": "ex_004198",
"source_idx": 4198,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2305,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{3+\\sqrt{5}}{2}",
"budget": 2305
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004198",
"normalized_example_id": "ex_004198",
"source_idx": 4198,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2305,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "12",
"budget": 3606
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004200",
"normalized_example_id": "ex_004200",
"source_idx": 4200,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6010,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "12",
"budget": 4808
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004200",
"normalized_example_id": "ex_004200",
"source_idx": 4200,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6010,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "12",
"budget": 6010
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004200",
"normalized_example_id": "ex_004200",
"source_idx": 4200,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6010,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "N = 25",
"budget": 2807
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004202",
"normalized_example_id": "ex_004202",
"source_idx": 4202,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4678,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "N = 25",
"budget": 3742
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004202",
"normalized_example_id": "ex_004202",
"source_idx": 4202,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4678,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "N = 25",
"budget": 4678
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004202",
"normalized_example_id": "ex_004202",
"source_idx": 4202,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4678,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8",
"budget": 2163
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004206",
"normalized_example_id": "ex_004206",
"source_idx": 4206,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8",
"budget": 2884
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004206",
"normalized_example_id": "ex_004206",
"source_idx": 4206,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8",
"budget": 3605
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004206",
"normalized_example_id": "ex_004206",
"source_idx": 4206,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1",
"budget": 4896
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004207",
"normalized_example_id": "ex_004207",
"source_idx": 4207,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8160,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1",
"budget": 6528
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004207",
"normalized_example_id": "ex_004207",
"source_idx": 4207,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8160,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1",
"budget": 8160
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004207",
"normalized_example_id": "ex_004207",
"source_idx": 4207,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8160,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{m+1}{2}",
"budget": 2629
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004208",
"normalized_example_id": "ex_004208",
"source_idx": 4208,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4382,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{m+1}{2}",
"budget": 3506
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004208",
"normalized_example_id": "ex_004208",
"source_idx": 4208,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4382,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{m+1}{2}",
"budget": 4382
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004208",
"normalized_example_id": "ex_004208",
"source_idx": 4208,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4382,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "f(x)=\\lnx+x",
"budget": 2832
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004210",
"normalized_example_id": "ex_004210",
"source_idx": 4210,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4720,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "f(x)=\\lnx+x",
"budget": 3776
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004210",
"normalized_example_id": "ex_004210",
"source_idx": 4210,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4720,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "f(x)=\\lnx+x",
"budget": 4720
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004210",
"normalized_example_id": "ex_004210",
"source_idx": 4210,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4720,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-1\\leqslantx\\leqslant1-\\frac{\\sqrt{31}}{8}",
"budget": 3187
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004211",
"normalized_example_id": "ex_004211",
"source_idx": 4211,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5312,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-1\\leqslantx\\leqslant1-\\frac{\\sqrt{31}}{8}",
"budget": 4250
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004211",
"normalized_example_id": "ex_004211",
"source_idx": 4211,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5312,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "-1\\leqslantx\\leqslant1-\\frac{\\sqrt{31}}{8}",
"budget": 5312
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004211",
"normalized_example_id": "ex_004211",
"source_idx": 4211,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5312,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "241",
"budget": 3540
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004215",
"normalized_example_id": "ex_004215",
"source_idx": 4215,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5900,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "241",
"budget": 4720
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004215",
"normalized_example_id": "ex_004215",
"source_idx": 4215,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5900,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "241",
"budget": 5900
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004215",
"normalized_example_id": "ex_004215",
"source_idx": 4215,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5900,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^n \\cdot 3^{\\frac{1-n}{2}} \\cdot \\sin \\frac{n\\pi}{6}",
"budget": 5075
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004216",
"normalized_example_id": "ex_004216",
"source_idx": 4216,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8458,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^n \\cdot 3^{\\frac{1-n}{2}} \\cdot \\sin \\frac{n\\pi}{6}",
"budget": 6766
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004216",
"normalized_example_id": "ex_004216",
"source_idx": 4216,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8458,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^n \\cdot 3^{\\frac{1-n}{2}} \\cdot \\sin \\frac{n\\pi}{6}",
"budget": 8458
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004216",
"normalized_example_id": "ex_004216",
"source_idx": 4216,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8458,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 3682
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004218",
"normalized_example_id": "ex_004218",
"source_idx": 4218,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6137,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 4910
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004218",
"normalized_example_id": "ex_004218",
"source_idx": 4218,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6137,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 6137
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004218",
"normalized_example_id": "ex_004218",
"source_idx": 4218,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6137,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(4,5),(8,25),(2,55),(5,22),(11,91),(13,77),(25,44)",
"budget": 3110
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004223",
"normalized_example_id": "ex_004223",
"source_idx": 4223,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5184,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(4,5),(8,25),(2,55),(5,22),(11,91),(13,77),(25,44)",
"budget": 4147
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004223",
"normalized_example_id": "ex_004223",
"source_idx": 4223,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5184,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(4,5),(8,25),(2,55),(5,22),(11,91),(13,77),(25,44)",
"budget": 5184
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004223",
"normalized_example_id": "ex_004223",
"source_idx": 4223,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5184,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "256",
"budget": 4673
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004227",
"normalized_example_id": "ex_004227",
"source_idx": 4227,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7789,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "256",
"budget": 6231
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004227",
"normalized_example_id": "ex_004227",
"source_idx": 4227,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7789,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "256",
"budget": 7789
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004227",
"normalized_example_id": "ex_004227",
"source_idx": 4227,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7789,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{3\\pi\\sqrt{15}}{50}",
"budget": 3439
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004228",
"normalized_example_id": "ex_004228",
"source_idx": 4228,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5731,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{3\\pi\\sqrt{15}}{50}",
"budget": 4585
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004228",
"normalized_example_id": "ex_004228",
"source_idx": 4228,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5731,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{3\\pi\\sqrt{15}}{50}",
"budget": 5731
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004228",
"normalized_example_id": "ex_004228",
"source_idx": 4228,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5731,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "E",
"budget": 1072
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004232",
"normalized_example_id": "ex_004232",
"source_idx": 4232,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1787,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "E",
"budget": 1430
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004232",
"normalized_example_id": "ex_004232",
"source_idx": 4232,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1787,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "E",
"budget": 1787
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004232",
"normalized_example_id": "ex_004232",
"source_idx": 4232,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1787,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "58",
"budget": 3500
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004233",
"normalized_example_id": "ex_004233",
"source_idx": 4233,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5833,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "58",
"budget": 4666
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004233",
"normalized_example_id": "ex_004233",
"source_idx": 4233,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5833,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "58",
"budget": 5833
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004233",
"normalized_example_id": "ex_004233",
"source_idx": 4233,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5833,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = \\frac{\\pi}{4}",
"budget": 2570
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004235",
"normalized_example_id": "ex_004235",
"source_idx": 4235,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4284,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = \\frac{\\pi}{4}",
"budget": 3427
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004235",
"normalized_example_id": "ex_004235",
"source_idx": 4235,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4284,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = \\frac{\\pi}{4}",
"budget": 4284
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004235",
"normalized_example_id": "ex_004235",
"source_idx": 4235,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4284,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^{n}+2 n-1",
"budget": 1284
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004236",
"normalized_example_id": "ex_004236",
"source_idx": 4236,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2140,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^{n}+2 n-1",
"budget": 1712
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004236",
"normalized_example_id": "ex_004236",
"source_idx": 4236,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2140,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^{n}+2 n-1",
"budget": 2140
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004236",
"normalized_example_id": "ex_004236",
"source_idx": 4236,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2140,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "122208",
"budget": 3323
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004238",
"normalized_example_id": "ex_004238",
"source_idx": 4238,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5539,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "122208",
"budget": 4431
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004238",
"normalized_example_id": "ex_004238",
"source_idx": 4238,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5539,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "122208",
"budget": 5539
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004238",
"normalized_example_id": "ex_004238",
"source_idx": 4238,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5539,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "b\\in[1,+\\infty)",
"budget": 5354
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004239",
"normalized_example_id": "ex_004239",
"source_idx": 4239,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8923,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "b\\in[1,+\\infty)",
"budget": 7138
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004239",
"normalized_example_id": "ex_004239",
"source_idx": 4239,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8923,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "b\\in[1,+\\infty)",
"budget": 8923
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004239",
"normalized_example_id": "ex_004239",
"source_idx": 4239,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8923,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 1624
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004241",
"normalized_example_id": "ex_004241",
"source_idx": 4241,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2706,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 2165
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004241",
"normalized_example_id": "ex_004241",
"source_idx": 4241,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2706,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 2706
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004241",
"normalized_example_id": "ex_004241",
"source_idx": 4241,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2706,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "13",
"budget": 4343
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004243",
"normalized_example_id": "ex_004243",
"source_idx": 4243,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7238,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "13",
"budget": 5790
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004243",
"normalized_example_id": "ex_004243",
"source_idx": 4243,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7238,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "13",
"budget": 7238
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004243",
"normalized_example_id": "ex_004243",
"source_idx": 4243,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7238,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "25",
"budget": 3439
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004246",
"normalized_example_id": "ex_004246",
"source_idx": 4246,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5732,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "25",
"budget": 4586
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004246",
"normalized_example_id": "ex_004246",
"source_idx": 4246,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5732,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "25",
"budget": 5732
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004246",
"normalized_example_id": "ex_004246",
"source_idx": 4246,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5732,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{1}{4}",
"budget": 4628
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004247",
"normalized_example_id": "ex_004247",
"source_idx": 4247,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7713,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{1}{4}",
"budget": 6170
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004247",
"normalized_example_id": "ex_004247",
"source_idx": 4247,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7713,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{1}{4}",
"budget": 7713
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004247",
"normalized_example_id": "ex_004247",
"source_idx": 4247,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7713,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2, 1 + \\sqrt{2}]",
"budget": 2797
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004251",
"normalized_example_id": "ex_004251",
"source_idx": 4251,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4661,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2, 1 + \\sqrt{2}]",
"budget": 3729
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004251",
"normalized_example_id": "ex_004251",
"source_idx": 4251,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4661,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(2, 1 + \\sqrt{2}]",
"budget": 4661
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004251",
"normalized_example_id": "ex_004251",
"source_idx": 4251,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4661,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "423",
"budget": 1433
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004253",
"normalized_example_id": "ex_004253",
"source_idx": 4253,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2388,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "423",
"budget": 1910
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004253",
"normalized_example_id": "ex_004253",
"source_idx": 4253,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2388,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "423",
"budget": 2388
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004253",
"normalized_example_id": "ex_004253",
"source_idx": 4253,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2388,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8",
"budget": 1021
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004254",
"normalized_example_id": "ex_004254",
"source_idx": 4254,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1701,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8",
"budget": 1361
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004254",
"normalized_example_id": "ex_004254",
"source_idx": 4254,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1701,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8",
"budget": 1701
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004254",
"normalized_example_id": "ex_004254",
"source_idx": 4254,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1701,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "22",
"budget": 2833
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004261",
"normalized_example_id": "ex_004261",
"source_idx": 4261,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4721,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "22",
"budget": 3777
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004261",
"normalized_example_id": "ex_004261",
"source_idx": 4261,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4721,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "22",
"budget": 4721
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_004261",
"normalized_example_id": "ex_004261",
"source_idx": 4261,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4721,
... |
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