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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": "e", "budget": 4261 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007379", "normalized_example_id": "ex_007379", "source_idx": 7379, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7102, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5682 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007379", "normalized_example_id": "ex_007379", "source_idx": 7379, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7102, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7102 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007379", "normalized_example_id": "ex_007379", "source_idx": 7379, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7102, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}}{6}", "budget": 5500 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007380", "normalized_example_id": "ex_007380", "source_idx": 7380, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9166, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}}{6}", "budget": 7333 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007380", "normalized_example_id": "ex_007380", "source_idx": 7380, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9166, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}}{6}", "budget": 9166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007380", "normalized_example_id": "ex_007380", "source_idx": 7380, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9166, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007384", "normalized_example_id": "ex_007384", "source_idx": 7384, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007384", "normalized_example_id": "ex_007384", "source_idx": 7384, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007384", "normalized_example_id": "ex_007384", "source_idx": 7384, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\leqslant b \\leqslant -1", "budget": 1063 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007386", "normalized_example_id": "ex_007386", "source_idx": 7386, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\leqslant b \\leqslant -1", "budget": 1417 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007386", "normalized_example_id": "ex_007386", "source_idx": 7386, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\leqslant b \\leqslant -1", "budget": 1771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007386", "normalized_example_id": "ex_007386", "source_idx": 7386, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 1805 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007388", "normalized_example_id": "ex_007388", "source_idx": 7388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3008, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007388", "normalized_example_id": "ex_007388", "source_idx": 7388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3008, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 3008 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007388", "normalized_example_id": "ex_007388", "source_idx": 7388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3008, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi", "budget": 2192 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007390", "normalized_example_id": "ex_007390", "source_idx": 7390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3654, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi", "budget": 2923 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007390", "normalized_example_id": "ex_007390", "source_idx": 7390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3654, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi", "budget": 3654 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007390", "normalized_example_id": "ex_007390", "source_idx": 7390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3654, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15}{2}", "budget": 1845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007392", "normalized_example_id": "ex_007392", "source_idx": 7392, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15}{2}", "budget": 2460 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007392", "normalized_example_id": "ex_007392", "source_idx": 7392, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15}{2}", "budget": 3075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007392", "normalized_example_id": "ex_007392", "source_idx": 7392, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "38", "budget": 665 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007393", "normalized_example_id": "ex_007393", "source_idx": 7393, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "38", "budget": 887 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007393", "normalized_example_id": "ex_007393", "source_idx": 7393, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "38", "budget": 1109 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007393", "normalized_example_id": "ex_007393", "source_idx": 7393, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007395", "normalized_example_id": "ex_007395", "source_idx": 7395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3706, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007395", "normalized_example_id": "ex_007395", "source_idx": 7395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3706, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3706 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007395", "normalized_example_id": "ex_007395", "source_idx": 7395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3706, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2or4", "budget": 4749 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007397", "normalized_example_id": "ex_007397", "source_idx": 7397, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7915, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2or4", "budget": 6332 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007397", "normalized_example_id": "ex_007397", "source_idx": 7397, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7915, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2or4", "budget": 7915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007397", "normalized_example_id": "ex_007397", "source_idx": 7397, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7915, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 n-4)!}{(n-1)!(n-2)!}", "budget": 1913 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007399", "normalized_example_id": "ex_007399", "source_idx": 7399, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3189, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 n-4)!}{(n-1)!(n-2)!}", "budget": 2551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007399", "normalized_example_id": "ex_007399", "source_idx": 7399, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3189, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 n-4)!}{(n-1)!(n-2)!}", "budget": 3189 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007399", "normalized_example_id": "ex_007399", "source_idx": 7399, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3189, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "74", "budget": 3214 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007400", "normalized_example_id": "ex_007400", "source_idx": 7400, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5357, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "74", "budget": 4286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007400", "normalized_example_id": "ex_007400", "source_idx": 7400, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5357, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "74", "budget": 5357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007400", "normalized_example_id": "ex_007400", "source_idx": 7400, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5357, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "420", "budget": 3247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007401", "normalized_example_id": "ex_007401", "source_idx": 7401, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "420", "budget": 4329 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007401", "normalized_example_id": "ex_007401", "source_idx": 7401, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "420", "budget": 5411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007401", "normalized_example_id": "ex_007401", "source_idx": 7401, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4951", "budget": 1255 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007405", "normalized_example_id": "ex_007405", "source_idx": 7405, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4951", "budget": 1674 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007405", "normalized_example_id": "ex_007405", "source_idx": 7405, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4951", "budget": 2092 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007405", "normalized_example_id": "ex_007405", "source_idx": 7405, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2012^{2012}", "budget": 2241 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007408", "normalized_example_id": "ex_007408", "source_idx": 7408, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3735, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2012^{2012}", "budget": 2988 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007408", "normalized_example_id": "ex_007408", "source_idx": 7408, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3735, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2012^{2012}", "budget": 3735 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007408", "normalized_example_id": "ex_007408", "source_idx": 7408, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3735, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1996 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007409", "normalized_example_id": "ex_007409", "source_idx": 7409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2662 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007409", "normalized_example_id": "ex_007409", "source_idx": 7409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007409", "normalized_example_id": "ex_007409", "source_idx": 7409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 4993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007410", "normalized_example_id": "ex_007410", "source_idx": 7410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 6657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007410", "normalized_example_id": "ex_007410", "source_idx": 7410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 8321 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007410", "normalized_example_id": "ex_007410", "source_idx": 7410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "690", "budget": 4102 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007411", "normalized_example_id": "ex_007411", "source_idx": 7411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6837, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "690", "budget": 5470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007411", "normalized_example_id": "ex_007411", "source_idx": 7411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6837, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "690", "budget": 6837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007411", "normalized_example_id": "ex_007411", "source_idx": 7411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6837, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 1324 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007412", "normalized_example_id": "ex_007412", "source_idx": 7412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2207, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 1766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007412", "normalized_example_id": "ex_007412", "source_idx": 7412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2207, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2207 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007412", "normalized_example_id": "ex_007412", "source_idx": 7412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2207, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+3\\sqrt{2}", "budget": 3695 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007413", "normalized_example_id": "ex_007413", "source_idx": 7413, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6159, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+3\\sqrt{2}", "budget": 4927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007413", "normalized_example_id": "ex_007413", "source_idx": 7413, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6159, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+3\\sqrt{2}", "budget": 6159 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007413", "normalized_example_id": "ex_007413", "source_idx": 7413, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6159, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "130", "budget": 2856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007414", "normalized_example_id": "ex_007414", "source_idx": 7414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4760, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "130", "budget": 3808 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007414", "normalized_example_id": "ex_007414", "source_idx": 7414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4760, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "130", "budget": 4760 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007414", "normalized_example_id": "ex_007414", "source_idx": 7414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4760, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{43}{57}", "budget": 1394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007415", "normalized_example_id": "ex_007415", "source_idx": 7415, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2323, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{43}{57}", "budget": 1858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007415", "normalized_example_id": "ex_007415", "source_idx": 7415, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2323, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{43}{57}", "budget": 2323 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007415", "normalized_example_id": "ex_007415", "source_idx": 7415, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2323, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "97", "budget": 1666 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007416", "normalized_example_id": "ex_007416", "source_idx": 7416, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2777, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "97", "budget": 2222 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007416", "normalized_example_id": "ex_007416", "source_idx": 7416, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2777, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "97", "budget": 2777 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007416", "normalized_example_id": "ex_007416", "source_idx": 7416, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2777, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2022^{3}-1011^{3}", "budget": 3173 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007419", "normalized_example_id": "ex_007419", "source_idx": 7419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2022^{3}-1011^{3}", "budget": 4230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007419", "normalized_example_id": "ex_007419", "source_idx": 7419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2022^{3}-1011^{3}", "budget": 5288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007419", "normalized_example_id": "ex_007419", "source_idx": 7419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 721 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007420", "normalized_example_id": "ex_007420", "source_idx": 7420, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1202, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 962 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007420", "normalized_example_id": "ex_007420", "source_idx": 7420, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1202, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 1202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007420", "normalized_example_id": "ex_007420", "source_idx": 7420, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1202, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 3685 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007421", "normalized_example_id": "ex_007421", "source_idx": 7421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6142, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 4914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007421", "normalized_example_id": "ex_007421", "source_idx": 7421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6142, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 6142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007421", "normalized_example_id": "ex_007421", "source_idx": 7421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6142, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-58", "budget": 1652 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007423", "normalized_example_id": "ex_007423", "source_idx": 7423, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-58", "budget": 2203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007423", "normalized_example_id": "ex_007423", "source_idx": 7423, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-58", "budget": 2754 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007423", "normalized_example_id": "ex_007423", "source_idx": 7423, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2479 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007424", "normalized_example_id": "ex_007424", "source_idx": 7424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4131, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3305 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007424", "normalized_example_id": "ex_007424", "source_idx": 7424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4131, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4131 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007424", "normalized_example_id": "ex_007424", "source_idx": 7424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4131, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "303369", "budget": 3429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007425", "normalized_example_id": "ex_007425", "source_idx": 7425, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5715, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "303369", "budget": 4572 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007425", "normalized_example_id": "ex_007425", "source_idx": 7425, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5715, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "303369", "budget": 5715 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007425", "normalized_example_id": "ex_007425", "source_idx": 7425, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5715, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "660", "budget": 5920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007429", "normalized_example_id": "ex_007429", "source_idx": 7429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "660", "budget": 7893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007429", "normalized_example_id": "ex_007429", "source_idx": 7429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "660", "budget": 9866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007429", "normalized_example_id": "ex_007429", "source_idx": 7429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007433", "normalized_example_id": "ex_007433", "source_idx": 7433, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6189, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007433", "normalized_example_id": "ex_007433", "source_idx": 7433, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6189, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6189 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007433", "normalized_example_id": "ex_007433", "source_idx": 7433, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6189, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5400", "budget": 2927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007435", "normalized_example_id": "ex_007435", "source_idx": 7435, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4879, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5400", "budget": 3903 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007435", "normalized_example_id": "ex_007435", "source_idx": 7435, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4879, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5400", "budget": 4879 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007435", "normalized_example_id": "ex_007435", "source_idx": 7435, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4879, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900", "budget": 2977 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007436", "normalized_example_id": "ex_007436", "source_idx": 7436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4962, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900", "budget": 3970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007436", "normalized_example_id": "ex_007436", "source_idx": 7436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4962, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900", "budget": 4962 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007436", "normalized_example_id": "ex_007436", "source_idx": 7436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4962, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "83", "budget": 2258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007437", "normalized_example_id": "ex_007437", "source_idx": 7437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3763, ...