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[ { "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=\\left(1-\\frac{\\sqrt{2}}{2}\\right) a", "budget": 1067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001578", "normalized_example_id": "ex_001578", "source_idx": 1578, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1334, ...
[ { "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=\\left(1-\\frac{\\sqrt{2}}{2}\\right) a", "budget": 1334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001578", "normalized_example_id": "ex_001578", "source_idx": 1578, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1334, ...
[ { "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": "2002", "budget": 1646 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001583", "normalized_example_id": "ex_001583", "source_idx": 1583, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2744, ...
[ { "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": "2002", "budget": 2195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001583", "normalized_example_id": "ex_001583", "source_idx": 1583, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2744, ...
[ { "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": "2002", "budget": 2744 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001583", "normalized_example_id": "ex_001583", "source_idx": 1583, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2744, ...
[ { "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\\in(0;1)\\cup(1;5/4)\\cup(5/4;3/2)", "budget": 3251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001586", "normalized_example_id": "ex_001586", "source_idx": 1586, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5418, ...
[ { "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\\in(0;1)\\cup(1;5/4)\\cup(5/4;3/2)", "budget": 4334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001586", "normalized_example_id": "ex_001586", "source_idx": 1586, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5418, ...
[ { "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\\in(0;1)\\cup(1;5/4)\\cup(5/4;3/2)", "budget": 5418 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001586", "normalized_example_id": "ex_001586", "source_idx": 1586, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5418, ...
[ { "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": "15", "budget": 2013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001587", "normalized_example_id": "ex_001587", "source_idx": 1587, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3355, ...
[ { "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": "15", "budget": 2684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001587", "normalized_example_id": "ex_001587", "source_idx": 1587, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3355, ...
[ { "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": "15", "budget": 3355 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001587", "normalized_example_id": "ex_001587", "source_idx": 1587, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3355, ...
[ { "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": "2014", "budget": 2053 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001589", "normalized_example_id": "ex_001589", "source_idx": 1589, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3421, ...
[ { "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": "2014", "budget": 2737 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001589", "normalized_example_id": "ex_001589", "source_idx": 1589, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3421, ...
[ { "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": "2014", "budget": 3421 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001589", "normalized_example_id": "ex_001589", "source_idx": 1589, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3421, ...
[ { "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": "510", "budget": 2815 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001591", "normalized_example_id": "ex_001591", "source_idx": 1591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4691, ...
[ { "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": "510", "budget": 3753 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001591", "normalized_example_id": "ex_001591", "source_idx": 1591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4691, ...
[ { "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": "510", "budget": 4691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001591", "normalized_example_id": "ex_001591", "source_idx": 1591, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4691, ...
[ { "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}{\\cosx}", "budget": 4378 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001593", "normalized_example_id": "ex_001593", "source_idx": 1593, "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": "\\frac{1}{\\cosx}", "budget": 5837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001593", "normalized_example_id": "ex_001593", "source_idx": 1593, "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": "\\frac{1}{\\cosx}", "budget": 7296 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001593", "normalized_example_id": "ex_001593", "source_idx": 1593, "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": "0,1,2", "budget": 5575 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001594", "normalized_example_id": "ex_001594", "source_idx": 1594, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9291, ...
[ { "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": "0,1,2", "budget": 7433 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001594", "normalized_example_id": "ex_001594", "source_idx": 1594, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9291, ...
[ { "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": "0,1,2", "budget": 9291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001594", "normalized_example_id": "ex_001594", "source_idx": 1594, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9291, ...
[ { "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+\\sqrt{2}", "budget": 5401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001595", "normalized_example_id": "ex_001595", "source_idx": 1595, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9002, ...
[ { "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+\\sqrt{2}", "budget": 7202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001595", "normalized_example_id": "ex_001595", "source_idx": 1595, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9002, ...
[ { "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+\\sqrt{2}", "budget": 9002 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001595", "normalized_example_id": "ex_001595", "source_idx": 1595, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9002, ...
[ { "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": "4032,8064,12096,16128", "budget": 1482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001597", "normalized_example_id": "ex_001597", "source_idx": 1597, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2470, ...
[ { "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": "4032,8064,12096,16128", "budget": 1976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001597", "normalized_example_id": "ex_001597", "source_idx": 1597, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2470, ...
[ { "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": "4032,8064,12096,16128", "budget": 2470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001597", "normalized_example_id": "ex_001597", "source_idx": 1597, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2470, ...
[ { "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": "24,40,56,72,88,104,120", "budget": 2357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001598", "normalized_example_id": "ex_001598", "source_idx": 1598, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3928, ...
[ { "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": "24,40,56,72,88,104,120", "budget": 3142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001598", "normalized_example_id": "ex_001598", "source_idx": 1598, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3928, ...
[ { "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": "24,40,56,72,88,104,120", "budget": 3928 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001598", "normalized_example_id": "ex_001598", "source_idx": 1598, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3928, ...
[ { "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": 3865 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001599", "normalized_example_id": "ex_001599", "source_idx": 1599, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6441, ...
[ { "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": 5153 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001599", "normalized_example_id": "ex_001599", "source_idx": 1599, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6441, ...
[ { "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": 6441 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001599", "normalized_example_id": "ex_001599", "source_idx": 1599, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6441, ...
[ { "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", "budget": 1496 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001601", "normalized_example_id": "ex_001601", "source_idx": 1601, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2493, ...
[ { "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", "budget": 1994 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001601", "normalized_example_id": "ex_001601", "source_idx": 1601, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2493, ...
[ { "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", "budget": 2493 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001601", "normalized_example_id": "ex_001601", "source_idx": 1601, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2493, ...
[ { "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": "360", "budget": 726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001602", "normalized_example_id": "ex_001602", "source_idx": 1602, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1210, ...
[ { "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": "360", "budget": 968 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001602", "normalized_example_id": "ex_001602", "source_idx": 1602, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1210, ...
[ { "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": "360", "budget": 1210 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001602", "normalized_example_id": "ex_001602", "source_idx": 1602, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1210, ...
[ { "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": "53", "budget": 3940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001603", "normalized_example_id": "ex_001603", "source_idx": 1603, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "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": "53", "budget": 5253 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001603", "normalized_example_id": "ex_001603", "source_idx": 1603, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "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": "53", "budget": 6566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001603", "normalized_example_id": "ex_001603", "source_idx": 1603, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "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": "9792", "budget": 2585 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001604", "normalized_example_id": "ex_001604", "source_idx": 1604, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4308, ...
[ { "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": "9792", "budget": 3446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001604", "normalized_example_id": "ex_001604", "source_idx": 1604, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4308, ...
[ { "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": "9792", "budget": 4308 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001604", "normalized_example_id": "ex_001604", "source_idx": 1604, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4308, ...
[ { "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": "40", "budget": 1931 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001605", "normalized_example_id": "ex_001605", "source_idx": 1605, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3219, ...
[ { "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": "40", "budget": 2575 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001605", "normalized_example_id": "ex_001605", "source_idx": 1605, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3219, ...
[ { "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": "40", "budget": 3219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001605", "normalized_example_id": "ex_001605", "source_idx": 1605, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3219, ...
[ { "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_n = n \\text{ for all } n \\in \\{1, 2, \\ldots, 1375\\}", "budget": 4057 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001606", "normalized_example_id": "ex_001606", "source_idx": 1606, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6761, ...
[ { "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_n = n \\text{ for all } n \\in \\{1, 2, \\ldots, 1375\\}", "budget": 5409 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001606", "normalized_example_id": "ex_001606", "source_idx": 1606, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6761, ...
[ { "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_n = n \\text{ for all } n \\in \\{1, 2, \\ldots, 1375\\}", "budget": 6761 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001606", "normalized_example_id": "ex_001606", "source_idx": 1606, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6761, ...
[ { "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": "2520", "budget": 949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001607", "normalized_example_id": "ex_001607", "source_idx": 1607, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1582, ...
[ { "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": "2520", "budget": 1266 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001607", "normalized_example_id": "ex_001607", "source_idx": 1607, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1582, ...
[ { "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": "2520", "budget": 1582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001607", "normalized_example_id": "ex_001607", "source_idx": 1607, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1582, ...
[ { "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": "4851", "budget": 1048 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001608", "normalized_example_id": "ex_001608", "source_idx": 1608, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1747, ...
[ { "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": "4851", "budget": 1398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001608", "normalized_example_id": "ex_001608", "source_idx": 1608, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1747, ...
[ { "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": "4851", "budget": 1747 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001608", "normalized_example_id": "ex_001608", "source_idx": 1608, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1747, ...
[ { "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": 4169 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001609", "normalized_example_id": "ex_001609", "source_idx": 1609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6949, ...
[ { "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": 5559 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001609", "normalized_example_id": "ex_001609", "source_idx": 1609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6949, ...
[ { "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": 6949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001609", "normalized_example_id": "ex_001609", "source_idx": 1609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6949, ...
[ { "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": "z_1=5,\\quadz_2=5i", "budget": 3467 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001612", "normalized_example_id": "ex_001612", "source_idx": 1612, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5778, ...
[ { "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": "z_1=5,\\quadz_2=5i", "budget": 4622 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001612", "normalized_example_id": "ex_001612", "source_idx": 1612, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5778, ...
[ { "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": "z_1=5,\\quadz_2=5i", "budget": 5778 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001612", "normalized_example_id": "ex_001612", "source_idx": 1612, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5778, ...
[ { "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}{3}", "budget": 4736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001614", "normalized_example_id": "ex_001614", "source_idx": 1614, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7893, ...
[ { "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}{3}", "budget": 6314 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001614", "normalized_example_id": "ex_001614", "source_idx": 1614, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7893, ...
[ { "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}{3}", "budget": 7893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001614", "normalized_example_id": "ex_001614", "source_idx": 1614, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7893, ...
[ { "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": "(5!)^3", "budget": 3352 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001615", "normalized_example_id": "ex_001615", "source_idx": 1615, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5587, ...
[ { "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": "(5!)^3", "budget": 4470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001615", "normalized_example_id": "ex_001615", "source_idx": 1615, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5587, ...
[ { "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": "(5!)^3", "budget": 5587 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001615", "normalized_example_id": "ex_001615", "source_idx": 1615, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5587, ...
[ { "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": 2255 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001616", "normalized_example_id": "ex_001616", "source_idx": 1616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3759, ...
[ { "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": 3007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001616", "normalized_example_id": "ex_001616", "source_idx": 1616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3759, ...
[ { "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": 3759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001616", "normalized_example_id": "ex_001616", "source_idx": 1616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3759, ...
[ { "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": "28", "budget": 706 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001618", "normalized_example_id": "ex_001618", "source_idx": 1618, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1176, ...
[ { "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": "28", "budget": 941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001618", "normalized_example_id": "ex_001618", "source_idx": 1618, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1176, ...
[ { "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": "28", "budget": 1176 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001618", "normalized_example_id": "ex_001618", "source_idx": 1618, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1176, ...
[ { "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": 634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001620", "normalized_example_id": "ex_001620", "source_idx": 1620, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1056, ...
[ { "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": 845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001620", "normalized_example_id": "ex_001620", "source_idx": 1620, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1056, ...
[ { "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": 1056 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001620", "normalized_example_id": "ex_001620", "source_idx": 1620, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1056, ...
[ { "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": "45", "budget": 5401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001622", "normalized_example_id": "ex_001622", "source_idx": 1622, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9001, ...
[ { "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": "45", "budget": 7201 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001622", "normalized_example_id": "ex_001622", "source_idx": 1622, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9001, ...
[ { "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": "45", "budget": 9001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001622", "normalized_example_id": "ex_001622", "source_idx": 1622, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9001, ...
[ { "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": 3954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001624", "normalized_example_id": "ex_001624", "source_idx": 1624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6590, ...
[ { "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": 5272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001624", "normalized_example_id": "ex_001624", "source_idx": 1624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6590, ...
[ { "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": 6590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001624", "normalized_example_id": "ex_001624", "source_idx": 1624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6590, ...
[ { "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_{n}=3^{n}+n^{2}+3n+2", "budget": 1760 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001627", "normalized_example_id": "ex_001627", "source_idx": 1627, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2933, ...
[ { "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_{n}=3^{n}+n^{2}+3n+2", "budget": 2346 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001627", "normalized_example_id": "ex_001627", "source_idx": 1627, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2933, ...
[ { "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_{n}=3^{n}+n^{2}+3n+2", "budget": 2933 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001627", "normalized_example_id": "ex_001627", "source_idx": 1627, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2933, ...
[ { "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,-1}", "budget": 3262 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001628", "normalized_example_id": "ex_001628", "source_idx": 1628, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5436, ...
[ { "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,-1}", "budget": 4349 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001628", "normalized_example_id": "ex_001628", "source_idx": 1628, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5436, ...
[ { "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,-1}", "budget": 5436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001628", "normalized_example_id": "ex_001628", "source_idx": 1628, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5436, ...
[ { "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", "budget": 1510 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001630", "normalized_example_id": "ex_001630", "source_idx": 1630, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2516, ...
[ { "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", "budget": 2013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001630", "normalized_example_id": "ex_001630", "source_idx": 1630, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2516, ...
[ { "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", "budget": 2516 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001630", "normalized_example_id": "ex_001630", "source_idx": 1630, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2516, ...
[ { "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": 1514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001631", "normalized_example_id": "ex_001631", "source_idx": 1631, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2523, ...
[ { "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": 2018 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001631", "normalized_example_id": "ex_001631", "source_idx": 1631, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2523, ...
[ { "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": 2523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001631", "normalized_example_id": "ex_001631", "source_idx": 1631, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2523, ...
[ { "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": "4002", "budget": 2209 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001632", "normalized_example_id": "ex_001632", "source_idx": 1632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3681, ...
[ { "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": "4002", "budget": 2945 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001632", "normalized_example_id": "ex_001632", "source_idx": 1632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3681, ...