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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": "No", "budget": 5225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001211", "normalized_example_id": "ex_001211", "source_idx": 1211, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6531, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "No", "budget": 6531 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001211", "normalized_example_id": "ex_001211", "source_idx": 1211, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6531, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "165", "budget": 3212 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001212", "normalized_example_id": "ex_001212", "source_idx": 1212, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "165", "budget": 4283 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001212", "normalized_example_id": "ex_001212", "source_idx": 1212, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "165", "budget": 5354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001212", "normalized_example_id": "ex_001212", "source_idx": 1212, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 2299 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001216", "normalized_example_id": "ex_001216", "source_idx": 1216, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 3065 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001216", "normalized_example_id": "ex_001216", "source_idx": 1216, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 3831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001216", "normalized_example_id": "ex_001216", "source_idx": 1216, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2036", "budget": 1232 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001217", "normalized_example_id": "ex_001217", "source_idx": 1217, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2053, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2036", "budget": 1642 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001217", "normalized_example_id": "ex_001217", "source_idx": 1217, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2053, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2036", "budget": 2053 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001217", "normalized_example_id": "ex_001217", "source_idx": 1217, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2053, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2603 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001219", "normalized_example_id": "ex_001219", "source_idx": 1219, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3471 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001219", "normalized_example_id": "ex_001219", "source_idx": 1219, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4339 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001219", "normalized_example_id": "ex_001219", "source_idx": 1219, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2794 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001220", "normalized_example_id": "ex_001220", "source_idx": 1220, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4656, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3725 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001220", "normalized_example_id": "ex_001220", "source_idx": 1220, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4656, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4656 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001220", "normalized_example_id": "ex_001220", "source_idx": 1220, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4656, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001221", "normalized_example_id": "ex_001221", "source_idx": 1221, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2335, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1868 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001221", "normalized_example_id": "ex_001221", "source_idx": 1221, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2335, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2335 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001221", "normalized_example_id": "ex_001221", "source_idx": 1221, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2335, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8\\ln2}{5}", "budget": 5099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001222", "normalized_example_id": "ex_001222", "source_idx": 1222, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8498, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8\\ln2}{5}", "budget": 6798 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001222", "normalized_example_id": "ex_001222", "source_idx": 1222, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8498, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8\\ln2}{5}", "budget": 8498 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001222", "normalized_example_id": "ex_001222", "source_idx": 1222, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8498, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{272}{15}\\pi", "budget": 2827 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001223", "normalized_example_id": "ex_001223", "source_idx": 1223, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4712, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{272}{15}\\pi", "budget": 3770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001223", "normalized_example_id": "ex_001223", "source_idx": 1223, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4712, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{272}{15}\\pi", "budget": 4712 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001223", "normalized_example_id": "ex_001223", "source_idx": 1223, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4712, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{5}}{2},\\frac{\\sqrt{5}}{2}}", "budget": 2668 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001224", "normalized_example_id": "ex_001224", "source_idx": 1224, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{5}}{2},\\frac{\\sqrt{5}}{2}}", "budget": 3557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001224", "normalized_example_id": "ex_001224", "source_idx": 1224, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{5}}{2},\\frac{\\sqrt{5}}{2}}", "budget": 4446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001224", "normalized_example_id": "ex_001224", "source_idx": 1224, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+2\\sqrt{2}", "budget": 2759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001225", "normalized_example_id": "ex_001225", "source_idx": 1225, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4599, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+2\\sqrt{2}", "budget": 3679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001225", "normalized_example_id": "ex_001225", "source_idx": 1225, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4599, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+2\\sqrt{2}", "budget": 4599 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001225", "normalized_example_id": "ex_001225", "source_idx": 1225, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4599, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\pi/4", "budget": 2768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001228", "normalized_example_id": "ex_001228", "source_idx": 1228, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4614, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\pi/4", "budget": 3691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001228", "normalized_example_id": "ex_001228", "source_idx": 1228, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4614, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\pi/4", "budget": 4614 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001228", "normalized_example_id": "ex_001228", "source_idx": 1228, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4614, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}{5}", "budget": 2002 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001229", "normalized_example_id": "ex_001229", "source_idx": 1229, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}{5}", "budget": 2670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001229", "normalized_example_id": "ex_001229", "source_idx": 1229, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}{5}", "budget": 3337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001229", "normalized_example_id": "ex_001229", "source_idx": 1229, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{2020} = a_1", "budget": 2432 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001230", "normalized_example_id": "ex_001230", "source_idx": 1230, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4053, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{2020} = a_1", "budget": 3242 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001230", "normalized_example_id": "ex_001230", "source_idx": 1230, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4053, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{2020} = a_1", "budget": 4053 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001230", "normalized_example_id": "ex_001230", "source_idx": 1230, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4053, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{15}", "budget": 3854 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001231", "normalized_example_id": "ex_001231", "source_idx": 1231, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{15}", "budget": 5139 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001231", "normalized_example_id": "ex_001231", "source_idx": 1231, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{15}", "budget": 6424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001231", "normalized_example_id": "ex_001231", "source_idx": 1231, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 1194 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001235", "normalized_example_id": "ex_001235", "source_idx": 1235, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1990, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 1592 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001235", "normalized_example_id": "ex_001235", "source_idx": 1235, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1990, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 1990 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001235", "normalized_example_id": "ex_001235", "source_idx": 1235, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1990, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,1)", "budget": 2271 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001236", "normalized_example_id": "ex_001236", "source_idx": 1236, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,1)", "budget": 3028 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001236", "normalized_example_id": "ex_001236", "source_idx": 1236, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,1)", "budget": 3785 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001236", "normalized_example_id": "ex_001236", "source_idx": 1236, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "111", "budget": 2789 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001239", "normalized_example_id": "ex_001239", "source_idx": 1239, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4648, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "111", "budget": 3718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001239", "normalized_example_id": "ex_001239", "source_idx": 1239, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4648, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "111", "budget": 4648 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001239", "normalized_example_id": "ex_001239", "source_idx": 1239, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4648, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 2857 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001240", "normalized_example_id": "ex_001240", "source_idx": 1240, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4762, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 3810 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001240", "normalized_example_id": "ex_001240", "source_idx": 1240, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4762, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 4762 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001240", "normalized_example_id": "ex_001240", "source_idx": 1240, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4762, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{3}}{3}", "budget": 2466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001241", "normalized_example_id": "ex_001241", "source_idx": 1241, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{3}}{3}", "budget": 3288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001241", "normalized_example_id": "ex_001241", "source_idx": 1241, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{3}}{3}", "budget": 4110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001241", "normalized_example_id": "ex_001241", "source_idx": 1241, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1392 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001242", "normalized_example_id": "ex_001242", "source_idx": 1242, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2320, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001242", "normalized_example_id": "ex_001242", "source_idx": 1242, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2320, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2320 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001242", "normalized_example_id": "ex_001242", "source_idx": 1242, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2320, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{10}{3}, 0\\right)", "budget": 5393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001243", "normalized_example_id": "ex_001243", "source_idx": 1243, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8988, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{10}{3}, 0\\right)", "budget": 7190 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001243", "normalized_example_id": "ex_001243", "source_idx": 1243, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8988, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{10}{3}, 0\\right)", "budget": 8988 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001243", "normalized_example_id": "ex_001243", "source_idx": 1243, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8988, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{1}{2},+\\infty\\right)", "budget": 3524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001244", "normalized_example_id": "ex_001244", "source_idx": 1244, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5874, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{1}{2},+\\infty\\right)", "budget": 4699 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001244", "normalized_example_id": "ex_001244", "source_idx": 1244, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5874, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left(\\frac{1}{2},+\\infty\\right)", "budget": 5874 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001244", "normalized_example_id": "ex_001244", "source_idx": 1244, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5874, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1061 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001245", "normalized_example_id": "ex_001245", "source_idx": 1245, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1768, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1414 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001245", "normalized_example_id": "ex_001245", "source_idx": 1245, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1768, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001245", "normalized_example_id": "ex_001245", "source_idx": 1245, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1768, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 3716 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001248", "normalized_example_id": "ex_001248", "source_idx": 1248, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6194, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 4955 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001248", "normalized_example_id": "ex_001248", "source_idx": 1248, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6194, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 6194 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001248", "normalized_example_id": "ex_001248", "source_idx": 1248, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6194, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13.5", "budget": 1183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001249", "normalized_example_id": "ex_001249", "source_idx": 1249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13.5", "budget": 1577 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001249", "normalized_example_id": "ex_001249", "source_idx": 1249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13.5", "budget": 1971 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001249", "normalized_example_id": "ex_001249", "source_idx": 1249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "unstablenode", "budget": 640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001251", "normalized_example_id": "ex_001251", "source_idx": 1251, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "unstablenode", "budget": 854 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001251", "normalized_example_id": "ex_001251", "source_idx": 1251, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "unstablenode", "budget": 1067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001251", "normalized_example_id": "ex_001251", "source_idx": 1251, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "101", "budget": 1546 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001253", "normalized_example_id": "ex_001253", "source_idx": 1253, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2577, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "101", "budget": 2062 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001253", "normalized_example_id": "ex_001253", "source_idx": 1253, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2577, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "101", "budget": 2577 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001253", "normalized_example_id": "ex_001253", "source_idx": 1253, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2577, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(-1,0)\\cup(\\sqrt{3},2)", "budget": 4883 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001256", "normalized_example_id": "ex_001256", "source_idx": 1256, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8139, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(-1,0)\\cup(\\sqrt{3},2)", "budget": 6511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001256", "normalized_example_id": "ex_001256", "source_idx": 1256, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8139, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(-1,0)\\cup(\\sqrt{3},2)", "budget": 8139 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001256", "normalized_example_id": "ex_001256", "source_idx": 1256, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8139, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 3279 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001260", "normalized_example_id": "ex_001260", "source_idx": 1260, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5465, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 4372 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001260", "normalized_example_id": "ex_001260", "source_idx": 1260, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5465, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 5465 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001260", "normalized_example_id": "ex_001260", "source_idx": 1260, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5465, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2798 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001262", "normalized_example_id": "ex_001262", "source_idx": 1262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4663, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 3730 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001262", "normalized_example_id": "ex_001262", "source_idx": 1262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4663, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 4663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001262", "normalized_example_id": "ex_001262", "source_idx": 1262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4663, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1051 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001264", "normalized_example_id": "ex_001264", "source_idx": 1264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1751, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001264", "normalized_example_id": "ex_001264", "source_idx": 1264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1751, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1751 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001264", "normalized_example_id": "ex_001264", "source_idx": 1264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1751, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 4400 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001266", "normalized_example_id": "ex_001266", "source_idx": 1266, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 5867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001266", "normalized_example_id": "ex_001266", "source_idx": 1266, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 7334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001266", "normalized_example_id": "ex_001266", "source_idx": 1266, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30^\\circ", "budget": 1421 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001268", "normalized_example_id": "ex_001268", "source_idx": 1268, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30^\\circ", "budget": 1894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001268", "normalized_example_id": "ex_001268", "source_idx": 1268, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2368, ...