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[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x, y, z)=(1,1,1),(-5,4,4),(4,-5,4),(4,4,-5)", "budget": 3753 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001147", "normalized_example_id": "ex_001147", "source_idx": 1147, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6255, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x, y, z)=(1,1,1),(-5,4,4),(4,-5,4),(4,4,-5)", "budget": 5004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001147", "normalized_example_id": "ex_001147", "source_idx": 1147, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6255, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x, y, z)=(1,1,1),(-5,4,4),(4,-5,4),(4,4,-5)", "budget": 6255 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001147", "normalized_example_id": "ex_001147", "source_idx": 1147, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6255, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "117", "budget": 3626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001150", "normalized_example_id": "ex_001150", "source_idx": 1150, "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": "117", "budget": 4834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001150", "normalized_example_id": "ex_001150", "source_idx": 1150, "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": "117", "budget": 6043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001150", "normalized_example_id": "ex_001150", "source_idx": 1150, "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": "29", "budget": 628 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001151", "normalized_example_id": "ex_001151", "source_idx": 1151, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 838 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001151", "normalized_example_id": "ex_001151", "source_idx": 1151, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 1047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001151", "normalized_example_id": "ex_001151", "source_idx": 1151, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{10}", "budget": 2044 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001155", "normalized_example_id": "ex_001155", "source_idx": 1155, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3407, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{10}", "budget": 2726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001155", "normalized_example_id": "ex_001155", "source_idx": 1155, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3407, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{10}", "budget": 3407 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001155", "normalized_example_id": "ex_001155", "source_idx": 1155, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3407, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-4", "budget": 2164 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001156", "normalized_example_id": "ex_001156", "source_idx": 1156, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3606, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-4", "budget": 2885 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001156", "normalized_example_id": "ex_001156", "source_idx": 1156, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3606, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-4", "budget": 3606 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001156", "normalized_example_id": "ex_001156", "source_idx": 1156, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3606, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1,8,17,18,26,27", "budget": 3331 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001158", "normalized_example_id": "ex_001158", "source_idx": 1158, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1,8,17,18,26,27", "budget": 4441 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001158", "normalized_example_id": "ex_001158", "source_idx": 1158, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1,8,17,18,26,27", "budget": 5551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001158", "normalized_example_id": "ex_001158", "source_idx": 1158, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3}{2}e^{-\\frac{1}{3}}", "budget": 3764 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001162", "normalized_example_id": "ex_001162", "source_idx": 1162, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6274, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3}{2}e^{-\\frac{1}{3}}", "budget": 5019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001162", "normalized_example_id": "ex_001162", "source_idx": 1162, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6274, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3}{2}e^{-\\frac{1}{3}}", "budget": 6274 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001162", "normalized_example_id": "ex_001162", "source_idx": 1162, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6274, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = 2x + 1", "budget": 4744 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001163", "normalized_example_id": "ex_001163", "source_idx": 1163, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7906, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = 2x + 1", "budget": 6325 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001163", "normalized_example_id": "ex_001163", "source_idx": 1163, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7906, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = 2x + 1", "budget": 7906 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001163", "normalized_example_id": "ex_001163", "source_idx": 1163, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7906, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1235 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001164", "normalized_example_id": "ex_001164", "source_idx": 1164, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001164", "normalized_example_id": "ex_001164", "source_idx": 1164, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2059 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001164", "normalized_example_id": "ex_001164", "source_idx": 1164, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001165", "normalized_example_id": "ex_001165", "source_idx": 1165, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 3288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001165", "normalized_example_id": "ex_001165", "source_idx": 1165, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 4110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001165", "normalized_example_id": "ex_001165", "source_idx": 1165, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{3}", "budget": 881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001166", "normalized_example_id": "ex_001166", "source_idx": 1166, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1469, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{3}", "budget": 1175 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001166", "normalized_example_id": "ex_001166", "source_idx": 1166, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1469, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{3}", "budget": 1469 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001166", "normalized_example_id": "ex_001166", "source_idx": 1166, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1469, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,17),(0,-3),(3,12),(-1,2),(6,9),(-4,5),(11,8),(-9,6)", "budget": 1072 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001167", "normalized_example_id": "ex_001167", "source_idx": 1167, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,17),(0,-3),(3,12),(-1,2),(6,9),(-4,5),(11,8),(-9,6)", "budget": 1429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001167", "normalized_example_id": "ex_001167", "source_idx": 1167, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,17),(0,-3),(3,12),(-1,2),(6,9),(-4,5),(11,8),(-9,6)", "budget": 1786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001167", "normalized_example_id": "ex_001167", "source_idx": 1167, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{2}+\\frac{\\pi}{3}", "budget": 4689 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001168", "normalized_example_id": "ex_001168", "source_idx": 1168, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7815, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{2}+\\frac{\\pi}{3}", "budget": 6252 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001168", "normalized_example_id": "ex_001168", "source_idx": 1168, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7815, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{2}+\\frac{\\pi}{3}", "budget": 7815 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001168", "normalized_example_id": "ex_001168", "source_idx": 1168, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7815, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "105", "budget": 4574 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001169", "normalized_example_id": "ex_001169", "source_idx": 1169, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7624, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "105", "budget": 6099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001169", "normalized_example_id": "ex_001169", "source_idx": 1169, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7624, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "105", "budget": 7624 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001169", "normalized_example_id": "ex_001169", "source_idx": 1169, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7624, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30000", "budget": 2935 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001174", "normalized_example_id": "ex_001174", "source_idx": 1174, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4891, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30000", "budget": 3913 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001174", "normalized_example_id": "ex_001174", "source_idx": 1174, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4891, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30000", "budget": 4891 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001174", "normalized_example_id": "ex_001174", "source_idx": 1174, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4891, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{n+1}[(\\frac{3}{2})^{n+1}-1]", "budget": 5708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001175", "normalized_example_id": "ex_001175", "source_idx": 1175, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9514, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{n+1}[(\\frac{3}{2})^{n+1}-1]", "budget": 7611 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001175", "normalized_example_id": "ex_001175", "source_idx": 1175, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9514, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{n+1}[(\\frac{3}{2})^{n+1}-1]", "budget": 9514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001175", "normalized_example_id": "ex_001175", "source_idx": 1175, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9514, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1439 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001176", "normalized_example_id": "ex_001176", "source_idx": 1176, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2398, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001176", "normalized_example_id": "ex_001176", "source_idx": 1176, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2398, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001176", "normalized_example_id": "ex_001176", "source_idx": 1176, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2398, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{k^{2}+k+1}{(1+k)^{2}}", "budget": 4010 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001178", "normalized_example_id": "ex_001178", "source_idx": 1178, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6683, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{k^{2}+k+1}{(1+k)^{2}}", "budget": 5346 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001178", "normalized_example_id": "ex_001178", "source_idx": 1178, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6683, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{k^{2}+k+1}{(1+k)^{2}}", "budget": 6683 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001178", "normalized_example_id": "ex_001178", "source_idx": 1178, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6683, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10},+\\infty)", "budget": 4364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001179", "normalized_example_id": "ex_001179", "source_idx": 1179, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10},+\\infty)", "budget": 5818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001179", "normalized_example_id": "ex_001179", "source_idx": 1179, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10},+\\infty)", "budget": 7273 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001179", "normalized_example_id": "ex_001179", "source_idx": 1179, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1011", "budget": 4724 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001180", "normalized_example_id": "ex_001180", "source_idx": 1180, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1011", "budget": 6298 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001180", "normalized_example_id": "ex_001180", "source_idx": 1180, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1011", "budget": 7873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001180", "normalized_example_id": "ex_001180", "source_idx": 1180, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001183", "normalized_example_id": "ex_001183", "source_idx": 1183, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3061, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2449 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001183", "normalized_example_id": "ex_001183", "source_idx": 1183, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3061, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3061 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001183", "normalized_example_id": "ex_001183", "source_idx": 1183, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3061, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "26", "budget": 2479 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001184", "normalized_example_id": "ex_001184", "source_idx": 1184, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4132, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "26", "budget": 3306 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001184", "normalized_example_id": "ex_001184", "source_idx": 1184, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4132, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "26", "budget": 4132 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001184", "normalized_example_id": "ex_001184", "source_idx": 1184, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4132, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "67.6\\mathrm{~atm}", "budget": 5835 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001186", "normalized_example_id": "ex_001186", "source_idx": 1186, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9725, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "67.6\\mathrm{~atm}", "budget": 7780 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001186", "normalized_example_id": "ex_001186", "source_idx": 1186, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9725, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "67.6\\mathrm{~atm}", "budget": 9725 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001186", "normalized_example_id": "ex_001186", "source_idx": 1186, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9725, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1063 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001187", "normalized_example_id": "ex_001187", "source_idx": 1187, "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": "6", "budget": 1417 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001187", "normalized_example_id": "ex_001187", "source_idx": 1187, "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": "6", "budget": 1771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001187", "normalized_example_id": "ex_001187", "source_idx": 1187, "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": "7", "budget": 958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001190", "normalized_example_id": "ex_001190", "source_idx": 1190, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1597, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001190", "normalized_example_id": "ex_001190", "source_idx": 1190, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1597, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001190", "normalized_example_id": "ex_001190", "source_idx": 1190, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1597, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "780", "budget": 4657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001191", "normalized_example_id": "ex_001191", "source_idx": 1191, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7761, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "780", "budget": 6209 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001191", "normalized_example_id": "ex_001191", "source_idx": 1191, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7761, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "780", "budget": 7761 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001191", "normalized_example_id": "ex_001191", "source_idx": 1191, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7761, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2001", "budget": 5180 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001196", "normalized_example_id": "ex_001196", "source_idx": 1196, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8634, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2001", "budget": 6907 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001196", "normalized_example_id": "ex_001196", "source_idx": 1196, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8634, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2001", "budget": 8634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001196", "normalized_example_id": "ex_001196", "source_idx": 1196, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8634, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001198", "normalized_example_id": "ex_001198", "source_idx": 1198, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1910, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001198", "normalized_example_id": "ex_001198", "source_idx": 1198, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1910, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001198", "normalized_example_id": "ex_001198", "source_idx": 1198, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1910, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.04", "budget": 715 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001200", "normalized_example_id": "ex_001200", "source_idx": 1200, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.04", "budget": 953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001200", "normalized_example_id": "ex_001200", "source_idx": 1200, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.04", "budget": 1191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001200", "normalized_example_id": "ex_001200", "source_idx": 1200, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2n+n^{2}}{3}", "budget": 2407 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001202", "normalized_example_id": "ex_001202", "source_idx": 1202, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4012, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2n+n^{2}}{3}", "budget": 3210 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001202", "normalized_example_id": "ex_001202", "source_idx": 1202, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4012, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2n+n^{2}}{3}", "budget": 4012 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001202", "normalized_example_id": "ex_001202", "source_idx": 1202, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4012, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.6", "budget": 993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001203", "normalized_example_id": "ex_001203", "source_idx": 1203, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1655, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.6", "budget": 1324 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001203", "normalized_example_id": "ex_001203", "source_idx": 1203, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1655, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.6", "budget": 1655 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001203", "normalized_example_id": "ex_001203", "source_idx": 1203, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1655, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(B)}\\\\frac{5}{3}", "budget": 614 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001205", "normalized_example_id": "ex_001205", "source_idx": 1205, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1024, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(B)}\\\\frac{5}{3}", "budget": 819 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001205", "normalized_example_id": "ex_001205", "source_idx": 1205, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1024, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\textbf{(B)}\\\\frac{5}{3}", "budget": 1024 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001205", "normalized_example_id": "ex_001205", "source_idx": 1205, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1024, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1267 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001210", "normalized_example_id": "ex_001210", "source_idx": 1210, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1690 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001210", "normalized_example_id": "ex_001210", "source_idx": 1210, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001210", "normalized_example_id": "ex_001210", "source_idx": 1210, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "No", "budget": 3919 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001211", "normalized_example_id": "ex_001211", "source_idx": 1211, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6531, ...