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": "\\frac{\\bar{\\lambda}\\omega+\\bar{\\omega}}{1-|\\lambda|^{2}}",
"budget": 5227
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007299",
"normalized_example_id": "ex_007299",
"source_idx": 7299,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5227,
... |
[
{
"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": "333333",
"budget": 6010
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007303",
"normalized_example_id": "ex_007303",
"source_idx": 7303,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10017,
... |
[
{
"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": "333333",
"budget": 8014
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007303",
"normalized_example_id": "ex_007303",
"source_idx": 7303,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10017,
... |
[
{
"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": "333333",
"budget": 10017
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007303",
"normalized_example_id": "ex_007303",
"source_idx": 7303,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10017,
... |
[
{
"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": "3331",
"budget": 4331
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007307",
"normalized_example_id": "ex_007307",
"source_idx": 7307,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7218,
... |
[
{
"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": "3331",
"budget": 5774
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007307",
"normalized_example_id": "ex_007307",
"source_idx": 7307,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7218,
... |
[
{
"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": "3331",
"budget": 7218
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007307",
"normalized_example_id": "ex_007307",
"source_idx": 7307,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7218,
... |
[
{
"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": "C^{-1}=\\frac{1}{33}\\cdot(\\begin{pmatrix}-16&9&11\\\\9&-3&0\\\\31&-3&-11\\end{pmatrix})",
"budget": 2311
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007309",
"normalized_example_id": "ex_007309",
"source_idx": 7309,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3852,
... |
[
{
"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": "C^{-1}=\\frac{1}{33}\\cdot(\\begin{pmatrix}-16&9&11\\\\9&-3&0\\\\31&-3&-11\\end{pmatrix})",
"budget": 3082
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007309",
"normalized_example_id": "ex_007309",
"source_idx": 7309,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3852,
... |
[
{
"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": "C^{-1}=\\frac{1}{33}\\cdot(\\begin{pmatrix}-16&9&11\\\\9&-3&0\\\\31&-3&-11\\end{pmatrix})",
"budget": 3852
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007309",
"normalized_example_id": "ex_007309",
"source_idx": 7309,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3852,
... |
[
{
"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",
"budget": 3683
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007312",
"normalized_example_id": "ex_007312",
"source_idx": 7312,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6139,
... |
[
{
"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",
"budget": 4911
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007312",
"normalized_example_id": "ex_007312",
"source_idx": 7312,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6139,
... |
[
{
"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",
"budget": 6139
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007312",
"normalized_example_id": "ex_007312",
"source_idx": 7312,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6139,
... |
[
{
"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,y)=(8,2)\\text{or}(2,8)",
"budget": 5707
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007315",
"normalized_example_id": "ex_007315",
"source_idx": 7315,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9512,
... |
[
{
"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,y)=(8,2)\\text{or}(2,8)",
"budget": 7610
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007315",
"normalized_example_id": "ex_007315",
"source_idx": 7315,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9512,
... |
[
{
"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,y)=(8,2)\\text{or}(2,8)",
"budget": 9512
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007315",
"normalized_example_id": "ex_007315",
"source_idx": 7315,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9512,
... |
[
{
"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": "137",
"budget": 1206
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007317",
"normalized_example_id": "ex_007317",
"source_idx": 7317,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2010,
... |
[
{
"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": "137",
"budget": 1608
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007317",
"normalized_example_id": "ex_007317",
"source_idx": 7317,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2010,
... |
[
{
"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": "137",
"budget": 2010
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007317",
"normalized_example_id": "ex_007317",
"source_idx": 7317,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2010,
... |
[
{
"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}{8}(\\frac{5}{2}x+\\sin4x+\\frac{3}{16}\\sin8x-\\frac{1}{12}\\sin^{3}4x)+C",
"budget": 3036
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007319",
"normalized_example_id": "ex_007319",
"source_idx": 7319,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5060,
... |
[
{
"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}{8}(\\frac{5}{2}x+\\sin4x+\\frac{3}{16}\\sin8x-\\frac{1}{12}\\sin^{3}4x)+C",
"budget": 4048
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007319",
"normalized_example_id": "ex_007319",
"source_idx": 7319,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5060,
... |
[
{
"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}{8}(\\frac{5}{2}x+\\sin4x+\\frac{3}{16}\\sin8x-\\frac{1}{12}\\sin^{3}4x)+C",
"budget": 5060
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007319",
"normalized_example_id": "ex_007319",
"source_idx": 7319,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5060,
... |
[
{
"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",
"budget": 3799
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007322",
"normalized_example_id": "ex_007322",
"source_idx": 7322,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6331,
... |
[
{
"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",
"budget": 5065
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007322",
"normalized_example_id": "ex_007322",
"source_idx": 7322,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6331,
... |
[
{
"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",
"budget": 6331
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007322",
"normalized_example_id": "ex_007322",
"source_idx": 7322,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6331,
... |
[
{
"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": "42",
"budget": 1045
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007323",
"normalized_example_id": "ex_007323",
"source_idx": 7323,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1741,
... |
[
{
"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": "42",
"budget": 1393
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007323",
"normalized_example_id": "ex_007323",
"source_idx": 7323,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1741,
... |
[
{
"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": "42",
"budget": 1741
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007323",
"normalized_example_id": "ex_007323",
"source_idx": 7323,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1741,
... |
[
{
"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": "100",
"budget": 661
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007325",
"normalized_example_id": "ex_007325",
"source_idx": 7325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1101,
... |
[
{
"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": "100",
"budget": 881
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007325",
"normalized_example_id": "ex_007325",
"source_idx": 7325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1101,
... |
[
{
"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": "100",
"budget": 1101
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007325",
"normalized_example_id": "ex_007325",
"source_idx": 7325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1101,
... |
[
{
"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": "37",
"budget": 1489
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007328",
"normalized_example_id": "ex_007328",
"source_idx": 7328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2482,
... |
[
{
"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": "37",
"budget": 1986
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007328",
"normalized_example_id": "ex_007328",
"source_idx": 7328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2482,
... |
[
{
"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": "37",
"budget": 2482
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007328",
"normalized_example_id": "ex_007328",
"source_idx": 7328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2482,
... |
[
{
"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": "2419",
"budget": 1702
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007329",
"normalized_example_id": "ex_007329",
"source_idx": 7329,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2837,
... |
[
{
"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": "2419",
"budget": 2270
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007329",
"normalized_example_id": "ex_007329",
"source_idx": 7329,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2837,
... |
[
{
"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": "2419",
"budget": 2837
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007329",
"normalized_example_id": "ex_007329",
"source_idx": 7329,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2837,
... |
[
{
"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^{2019}-2039191",
"budget": 5161
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007333",
"normalized_example_id": "ex_007333",
"source_idx": 7333,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8602,
... |
[
{
"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^{2019}-2039191",
"budget": 6882
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007333",
"normalized_example_id": "ex_007333",
"source_idx": 7333,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8602,
... |
[
{
"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^{2019}-2039191",
"budget": 8602
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007333",
"normalized_example_id": "ex_007333",
"source_idx": 7333,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8602,
... |
[
{
"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": "401",
"budget": 4862
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007336",
"normalized_example_id": "ex_007336",
"source_idx": 7336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8104,
... |
[
{
"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": "401",
"budget": 6483
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007336",
"normalized_example_id": "ex_007336",
"source_idx": 7336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8104,
... |
[
{
"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": "401",
"budget": 8104
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007336",
"normalized_example_id": "ex_007336",
"source_idx": 7336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8104,
... |
[
{
"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": "16",
"budget": 2368
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007338",
"normalized_example_id": "ex_007338",
"source_idx": 7338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3947,
... |
[
{
"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": "16",
"budget": 3158
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007338",
"normalized_example_id": "ex_007338",
"source_idx": 7338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3947,
... |
[
{
"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": "16",
"budget": 3947
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007338",
"normalized_example_id": "ex_007338",
"source_idx": 7338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3947,
... |
[
{
"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": "24",
"budget": 4079
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007343",
"normalized_example_id": "ex_007343",
"source_idx": 7343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6798,
... |
[
{
"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": "24",
"budget": 5438
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007343",
"normalized_example_id": "ex_007343",
"source_idx": 7343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6798,
... |
[
{
"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": "24",
"budget": 6798
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007343",
"normalized_example_id": "ex_007343",
"source_idx": 7343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6798,
... |
[
{
"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": "\\text{YES}",
"budget": 4610
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007344",
"normalized_example_id": "ex_007344",
"source_idx": 7344,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7684,
... |
[
{
"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": "\\text{YES}",
"budget": 6147
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007344",
"normalized_example_id": "ex_007344",
"source_idx": 7344,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7684,
... |
[
{
"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": "\\text{YES}",
"budget": 7684
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007344",
"normalized_example_id": "ex_007344",
"source_idx": 7344,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7684,
... |
[
{
"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{20}{47}",
"budget": 2896
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007346",
"normalized_example_id": "ex_007346",
"source_idx": 7346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4827,
... |
[
{
"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{20}{47}",
"budget": 3862
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007346",
"normalized_example_id": "ex_007346",
"source_idx": 7346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4827,
... |
[
{
"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{20}{47}",
"budget": 4827
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007346",
"normalized_example_id": "ex_007346",
"source_idx": 7346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4827,
... |
[
{
"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": "m \\ge 4",
"budget": 5474
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007347",
"normalized_example_id": "ex_007347",
"source_idx": 7347,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9124,
... |
[
{
"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": "m \\ge 4",
"budget": 7299
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007347",
"normalized_example_id": "ex_007347",
"source_idx": 7347,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9124,
... |
[
{
"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": "m \\ge 4",
"budget": 9124
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007347",
"normalized_example_id": "ex_007347",
"source_idx": 7347,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9124,
... |
[
{
"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",
"budget": 1741
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007354",
"normalized_example_id": "ex_007354",
"source_idx": 7354,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2901,
... |
[
{
"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",
"budget": 2321
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007354",
"normalized_example_id": "ex_007354",
"source_idx": 7354,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2901,
... |
[
{
"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",
"budget": 2901
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007354",
"normalized_example_id": "ex_007354",
"source_idx": 7354,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2901,
... |
[
{
"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": 5981
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007359",
"normalized_example_id": "ex_007359",
"source_idx": 7359,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9968,
... |
[
{
"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": 7974
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007359",
"normalized_example_id": "ex_007359",
"source_idx": 7359,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9968,
... |
[
{
"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": 9968
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007359",
"normalized_example_id": "ex_007359",
"source_idx": 7359,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9968,
... |
[
{
"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{17\\pi}{9}",
"budget": 4519
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007360",
"normalized_example_id": "ex_007360",
"source_idx": 7360,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7532,
... |
[
{
"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{17\\pi}{9}",
"budget": 6026
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007360",
"normalized_example_id": "ex_007360",
"source_idx": 7360,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7532,
... |
[
{
"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{17\\pi}{9}",
"budget": 7532
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007360",
"normalized_example_id": "ex_007360",
"source_idx": 7360,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7532,
... |
[
{
"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+2\\sqrt{3})r",
"budget": 2654
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007363",
"normalized_example_id": "ex_007363",
"source_idx": 7363,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4424,
... |
[
{
"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+2\\sqrt{3})r",
"budget": 3539
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007363",
"normalized_example_id": "ex_007363",
"source_idx": 7363,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4424,
... |
[
{
"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+2\\sqrt{3})r",
"budget": 4424
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007363",
"normalized_example_id": "ex_007363",
"source_idx": 7363,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4424,
... |
[
{
"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": "D",
"budget": 4378
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007364",
"normalized_example_id": "ex_007364",
"source_idx": 7364,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7296,
... |
[
{
"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": "D",
"budget": 5837
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007364",
"normalized_example_id": "ex_007364",
"source_idx": 7364,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7296,
... |
[
{
"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": "D",
"budget": 7296
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007364",
"normalized_example_id": "ex_007364",
"source_idx": 7364,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7296,
... |
[
{
"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": "482",
"budget": 2639
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007365",
"normalized_example_id": "ex_007365",
"source_idx": 7365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4398,
... |
[
{
"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": "482",
"budget": 3518
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007365",
"normalized_example_id": "ex_007365",
"source_idx": 7365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4398,
... |
[
{
"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": "482",
"budget": 4398
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007365",
"normalized_example_id": "ex_007365",
"source_idx": 7365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4398,
... |
[
{
"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}{2},1+\\frac{1}{2}\\log_{3}2",
"budget": 2135
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007366",
"normalized_example_id": "ex_007366",
"source_idx": 7366,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3559,
... |
[
{
"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}{2},1+\\frac{1}{2}\\log_{3}2",
"budget": 2847
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007366",
"normalized_example_id": "ex_007366",
"source_idx": 7366,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3559,
... |
[
{
"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}{2},1+\\frac{1}{2}\\log_{3}2",
"budget": 3559
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007366",
"normalized_example_id": "ex_007366",
"source_idx": 7366,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3559,
... |
[
{
"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": "200",
"budget": 1204
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007368",
"normalized_example_id": "ex_007368",
"source_idx": 7368,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2006,
... |
[
{
"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": "200",
"budget": 1605
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007368",
"normalized_example_id": "ex_007368",
"source_idx": 7368,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2006,
... |
[
{
"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": "200",
"budget": 2006
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007368",
"normalized_example_id": "ex_007368",
"source_idx": 7368,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2006,
... |
[
{
"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": "216",
"budget": 1613
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007370",
"normalized_example_id": "ex_007370",
"source_idx": 7370,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2688,
... |
[
{
"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": "216",
"budget": 2150
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007370",
"normalized_example_id": "ex_007370",
"source_idx": 7370,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2688,
... |
[
{
"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": "216",
"budget": 2688
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007370",
"normalized_example_id": "ex_007370",
"source_idx": 7370,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2688,
... |
[
{
"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 = 1",
"budget": 2761
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007371",
"normalized_example_id": "ex_007371",
"source_idx": 7371,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4601,
... |
[
{
"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 = 1",
"budget": 3681
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007371",
"normalized_example_id": "ex_007371",
"source_idx": 7371,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4601,
... |
[
{
"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 = 1",
"budget": 4601
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007371",
"normalized_example_id": "ex_007371",
"source_idx": 7371,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4601,
... |
[
{
"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^{-\\frac{1}{5}},27]",
"budget": 1767
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007373",
"normalized_example_id": "ex_007373",
"source_idx": 7373,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2945,
... |
[
{
"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^{-\\frac{1}{5}},27]",
"budget": 2356
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007373",
"normalized_example_id": "ex_007373",
"source_idx": 7373,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2945,
... |
[
{
"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^{-\\frac{1}{5}},27]",
"budget": 2945
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007373",
"normalized_example_id": "ex_007373",
"source_idx": 7373,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2945,
... |
[
{
"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": "2S",
"budget": 4615
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007374",
"normalized_example_id": "ex_007374",
"source_idx": 7374,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7691,
... |
[
{
"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": "2S",
"budget": 6153
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007374",
"normalized_example_id": "ex_007374",
"source_idx": 7374,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7691,
... |
[
{
"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": "2S",
"budget": 7691
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007374",
"normalized_example_id": "ex_007374",
"source_idx": 7374,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7691,
... |
[
{
"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)=x",
"budget": 1959
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007377",
"normalized_example_id": "ex_007377",
"source_idx": 7377,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3265,
... |
[
{
"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)=x",
"budget": 2612
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007377",
"normalized_example_id": "ex_007377",
"source_idx": 7377,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3265,
... |
[
{
"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)=x",
"budget": 3265
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007377",
"normalized_example_id": "ex_007377",
"source_idx": 7377,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3265,
... |
[
{
"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": "196,100,4",
"budget": 2363
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007378",
"normalized_example_id": "ex_007378",
"source_idx": 7378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3938,
... |
[
{
"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": "196,100,4",
"budget": 3150
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007378",
"normalized_example_id": "ex_007378",
"source_idx": 7378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3938,
... |
[
{
"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": "196,100,4",
"budget": 3938
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_007378",
"normalized_example_id": "ex_007378",
"source_idx": 7378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3938,
... |
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