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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": "3:5", "budget": 2401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006089", "normalized_example_id": "ex_006089", "source_idx": 6089, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3:5", "budget": 3001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006089", "normalized_example_id": "ex_006089", "source_idx": 6089, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2037", "budget": 1247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006090", "normalized_example_id": "ex_006090", "source_idx": 6090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2037", "budget": 1662 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006090", "normalized_example_id": "ex_006090", "source_idx": 6090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2037", "budget": 2078 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006090", "normalized_example_id": "ex_006090", "source_idx": 6090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(-\\infty,0)\\cup(1,+\\infty)", "budget": 5028 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006091", "normalized_example_id": "ex_006091", "source_idx": 6091, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8380, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(-\\infty,0)\\cup(1,+\\infty)", "budget": 6704 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006091", "normalized_example_id": "ex_006091", "source_idx": 6091, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8380, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(-\\infty,0)\\cup(1,+\\infty)", "budget": 8380 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006091", "normalized_example_id": "ex_006091", "source_idx": 6091, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8380, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "F_{n+1}", "budget": 2540 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006092", "normalized_example_id": "ex_006092", "source_idx": 6092, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4233, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "F_{n+1}", "budget": 3386 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006092", "normalized_example_id": "ex_006092", "source_idx": 6092, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4233, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "F_{n+1}", "budget": 4233 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006092", "normalized_example_id": "ex_006092", "source_idx": 6092, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4233, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "P_{1}+P_{2}+P_{3}", "budget": 4272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006094", "normalized_example_id": "ex_006094", "source_idx": 6094, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "P_{1}+P_{2}+P_{3}", "budget": 5696 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006094", "normalized_example_id": "ex_006094", "source_idx": 6094, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "P_{1}+P_{2}+P_{3}", "budget": 7120 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006094", "normalized_example_id": "ex_006094", "source_idx": 6094, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b^{2}", "budget": 6091 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006095", "normalized_example_id": "ex_006095", "source_idx": 6095, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10152, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b^{2}", "budget": 8122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006095", "normalized_example_id": "ex_006095", "source_idx": 6095, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10152, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b^{2}", "budget": 10152 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006095", "normalized_example_id": "ex_006095", "source_idx": 6095, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10152, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006096", "normalized_example_id": "ex_006096", "source_idx": 6096, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7616, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006096", "normalized_example_id": "ex_006096", "source_idx": 6096, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7616, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7616 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006096", "normalized_example_id": "ex_006096", "source_idx": 6096, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7616, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(x-\\frac{1}{2}\\right)^{2}+\\left(y+\\frac{7}{2}\\right)^{2}=\\frac{178}{4}", "budget": 1958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006097", "normalized_example_id": "ex_006097", "source_idx": 6097, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3264, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(x-\\frac{1}{2}\\right)^{2}+\\left(y+\\frac{7}{2}\\right)^{2}=\\frac{178}{4}", "budget": 2611 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006097", "normalized_example_id": "ex_006097", "source_idx": 6097, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3264, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(x-\\frac{1}{2}\\right)^{2}+\\left(y+\\frac{7}{2}\\right)^{2}=\\frac{178}{4}", "budget": 3264 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006097", "normalized_example_id": "ex_006097", "source_idx": 6097, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3264, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1483 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006098", "normalized_example_id": "ex_006098", "source_idx": 6098, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1978 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006098", "normalized_example_id": "ex_006098", "source_idx": 6098, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006098", "normalized_example_id": "ex_006098", "source_idx": 6098, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "S_{ABC}=12,S_{CNK}=\\sqrt{2}", "budget": 3626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006099", "normalized_example_id": "ex_006099", "source_idx": 6099, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6043, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "S_{ABC}=12,S_{CNK}=\\sqrt{2}", "budget": 4834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006099", "normalized_example_id": "ex_006099", "source_idx": 6099, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6043, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "S_{ABC}=12,S_{CNK}=\\sqrt{2}", "budget": 6043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006099", "normalized_example_id": "ex_006099", "source_idx": 6099, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6043, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1193 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006103", "normalized_example_id": "ex_006103", "source_idx": 6103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1591 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006103", "normalized_example_id": "ex_006103", "source_idx": 6103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006103", "normalized_example_id": "ex_006103", "source_idx": 6103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3:1", "budget": 3886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006104", "normalized_example_id": "ex_006104", "source_idx": 6104, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6477, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3:1", "budget": 5182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006104", "normalized_example_id": "ex_006104", "source_idx": 6104, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6477, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3:1", "budget": 6477 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006104", "normalized_example_id": "ex_006104", "source_idx": 6104, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6477, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}+1}{2}", "budget": 1894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006105", "normalized_example_id": "ex_006105", "source_idx": 6105, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}+1}{2}", "budget": 2526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006105", "normalized_example_id": "ex_006105", "source_idx": 6105, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}+1}{2}", "budget": 3157 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006105", "normalized_example_id": "ex_006105", "source_idx": 6105, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "276", "budget": 3119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006106", "normalized_example_id": "ex_006106", "source_idx": 6106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5199, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "276", "budget": 4159 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006106", "normalized_example_id": "ex_006106", "source_idx": 6106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5199, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "276", "budget": 5199 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006106", "normalized_example_id": "ex_006106", "source_idx": 6106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5199, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2107 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006109", "normalized_example_id": "ex_006109", "source_idx": 6109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3511, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2809 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006109", "normalized_example_id": "ex_006109", "source_idx": 6109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3511, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006109", "normalized_example_id": "ex_006109", "source_idx": 6109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3511, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\pi}", "budget": 2123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006111", "normalized_example_id": "ex_006111", "source_idx": 6111, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3538, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\pi}", "budget": 2830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006111", "normalized_example_id": "ex_006111", "source_idx": 6111, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3538, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\pi}", "budget": 3538 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006111", "normalized_example_id": "ex_006111", "source_idx": 6111, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3538, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8750", "budget": 4247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006112", "normalized_example_id": "ex_006112", "source_idx": 6112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7079, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8750", "budget": 5663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006112", "normalized_example_id": "ex_006112", "source_idx": 6112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7079, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8750", "budget": 7079 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006112", "normalized_example_id": "ex_006112", "source_idx": 6112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7079, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{39\\pi}{4}", "budget": 4376 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006115", "normalized_example_id": "ex_006115", "source_idx": 6115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{39\\pi}{4}", "budget": 5835 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006115", "normalized_example_id": "ex_006115", "source_idx": 6115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{39\\pi}{4}", "budget": 7294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006115", "normalized_example_id": "ex_006115", "source_idx": 6115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 5453 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006116", "normalized_example_id": "ex_006116", "source_idx": 6116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9088, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 7270 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006116", "normalized_example_id": "ex_006116", "source_idx": 6116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9088, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 9088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006116", "normalized_example_id": "ex_006116", "source_idx": 6116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9088, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4080401", "budget": 3836 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006118", "normalized_example_id": "ex_006118", "source_idx": 6118, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6393, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4080401", "budget": 5114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006118", "normalized_example_id": "ex_006118", "source_idx": 6118, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6393, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4080401", "budget": 6393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006118", "normalized_example_id": "ex_006118", "source_idx": 6118, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6393, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2c", "budget": 3104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006119", "normalized_example_id": "ex_006119", "source_idx": 6119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5174, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2c", "budget": 4139 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006119", "normalized_example_id": "ex_006119", "source_idx": 6119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5174, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2c", "budget": 5174 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006119", "normalized_example_id": "ex_006119", "source_idx": 6119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5174, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = x^2 + ax + c", "budget": 3446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006120", "normalized_example_id": "ex_006120", "source_idx": 6120, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5744, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = x^2 + ax + c", "budget": 4595 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006120", "normalized_example_id": "ex_006120", "source_idx": 6120, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5744, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = x^2 + ax + c", "budget": 5744 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006120", "normalized_example_id": "ex_006120", "source_idx": 6120, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5744, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3080 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006126", "normalized_example_id": "ex_006126", "source_idx": 6126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4106 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006126", "normalized_example_id": "ex_006126", "source_idx": 6126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006126", "normalized_example_id": "ex_006126", "source_idx": 6126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "250\\mathrm{}", "budget": 1385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006127", "normalized_example_id": "ex_006127", "source_idx": 6127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "250\\mathrm{}", "budget": 1847 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006127", "normalized_example_id": "ex_006127", "source_idx": 6127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "250\\mathrm{}", "budget": 2309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006127", "normalized_example_id": "ex_006127", "source_idx": 6127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006128", "normalized_example_id": "ex_006128", "source_idx": 6128, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1593, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 1274 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006128", "normalized_example_id": "ex_006128", "source_idx": 6128, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1593, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 1593 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006128", "normalized_example_id": "ex_006128", "source_idx": 6128, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1593, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006130", "normalized_example_id": "ex_006130", "source_idx": 6130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4340, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006130", "normalized_example_id": "ex_006130", "source_idx": 6130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4340, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4340 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006130", "normalized_example_id": "ex_006130", "source_idx": 6130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4340, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 4130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006132", "normalized_example_id": "ex_006132", "source_idx": 6132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6883, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 5506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006132", "normalized_example_id": "ex_006132", "source_idx": 6132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6883, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 6883 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006132", "normalized_example_id": "ex_006132", "source_idx": 6132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6883, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 4703 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006133", "normalized_example_id": "ex_006133", "source_idx": 6133, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7838, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 6270 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006133", "normalized_example_id": "ex_006133", "source_idx": 6133, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7838, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 7838 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006133", "normalized_example_id": "ex_006133", "source_idx": 6133, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7838, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{35}", "budget": 1730 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006134", "normalized_example_id": "ex_006134", "source_idx": 6134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2884, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{35}", "budget": 2307 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006134", "normalized_example_id": "ex_006134", "source_idx": 6134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2884, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{35}", "budget": 2884 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006134", "normalized_example_id": "ex_006134", "source_idx": 6134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2884, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 3620 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006135", "normalized_example_id": "ex_006135", "source_idx": 6135, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 4826 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006135", "normalized_example_id": "ex_006135", "source_idx": 6135, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 6033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006135", "normalized_example_id": "ex_006135", "source_idx": 6135, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3^{999}}", "budget": 1280 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006136", "normalized_example_id": "ex_006136", "source_idx": 6136, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2134, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3^{999}}", "budget": 1707 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006136", "normalized_example_id": "ex_006136", "source_idx": 6136, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2134, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3^{999}}", "budget": 2134 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006136", "normalized_example_id": "ex_006136", "source_idx": 6136, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2134, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 2043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006138", "normalized_example_id": "ex_006138", "source_idx": 6138, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3405, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 2724 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006138", "normalized_example_id": "ex_006138", "source_idx": 6138, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3405, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 3405 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006138", "normalized_example_id": "ex_006138", "source_idx": 6138, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3405, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{p}(1-(1-p)^{n})", "budget": 1663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006141", "normalized_example_id": "ex_006141", "source_idx": 6141, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2772, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{p}(1-(1-p)^{n})", "budget": 2218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006141", "normalized_example_id": "ex_006141", "source_idx": 6141, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2772, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{p}(1-(1-p)^{n})", "budget": 2772 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006141", "normalized_example_id": "ex_006141", "source_idx": 6141, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2772, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5or-3or-7", "budget": 3164 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006144", "normalized_example_id": "ex_006144", "source_idx": 6144, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5or-3or-7", "budget": 4218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006144", "normalized_example_id": "ex_006144", "source_idx": 6144, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5273, ...