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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": "\\frac{1}{3}", "budget": 7472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003380", "normalized_example_id": "ex_003380", "source_idx": 3380, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3916", "budget": 769 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003382", "normalized_example_id": "ex_003382", "source_idx": 3382, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1281, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3916", "budget": 1025 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003382", "normalized_example_id": "ex_003382", "source_idx": 3382, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1281, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3916", "budget": 1281 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003382", "normalized_example_id": "ex_003382", "source_idx": 3382, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1281, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1351", "budget": 3376 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003383", "normalized_example_id": "ex_003383", "source_idx": 3383, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5627, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1351", "budget": 4502 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003383", "normalized_example_id": "ex_003383", "source_idx": 3383, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5627, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1351", "budget": 5627 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003383", "normalized_example_id": "ex_003383", "source_idx": 3383, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5627, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Heidrun", "budget": 4876 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003385", "normalized_example_id": "ex_003385", "source_idx": 3385, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8126, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Heidrun", "budget": 6501 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003385", "normalized_example_id": "ex_003385", "source_idx": 3385, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8126, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Heidrun", "budget": 8126 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003385", "normalized_example_id": "ex_003385", "source_idx": 3385, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8126, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 1373 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003386", "normalized_example_id": "ex_003386", "source_idx": 3386, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 1830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003386", "normalized_example_id": "ex_003386", "source_idx": 3386, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 2288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003386", "normalized_example_id": "ex_003386", "source_idx": 3386, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1209 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003388", "normalized_example_id": "ex_003388", "source_idx": 3388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2015, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003388", "normalized_example_id": "ex_003388", "source_idx": 3388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2015, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2015 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003388", "normalized_example_id": "ex_003388", "source_idx": 3388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2015, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{136}", "budget": 4098 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003390", "normalized_example_id": "ex_003390", "source_idx": 3390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6830, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{136}", "budget": 5464 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003390", "normalized_example_id": "ex_003390", "source_idx": 3390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6830, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{136}", "budget": 6830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003390", "normalized_example_id": "ex_003390", "source_idx": 3390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6830, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7.5", "budget": 1208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003395", "normalized_example_id": "ex_003395", "source_idx": 3395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2014, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7.5", "budget": 1611 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003395", "normalized_example_id": "ex_003395", "source_idx": 3395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2014, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7.5", "budget": 2014 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003395", "normalized_example_id": "ex_003395", "source_idx": 3395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2014, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{\\frac{4}{3}}", "budget": 1775 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003396", "normalized_example_id": "ex_003396", "source_idx": 3396, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2958, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{\\frac{4}{3}}", "budget": 2366 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003396", "normalized_example_id": "ex_003396", "source_idx": 3396, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2958, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{\\frac{4}{3}}", "budget": 2958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003396", "normalized_example_id": "ex_003396", "source_idx": 3396, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2958, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}+y^{2}\\leq9", "budget": 2909 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003400", "normalized_example_id": "ex_003400", "source_idx": 3400, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4849, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}+y^{2}\\leq9", "budget": 3879 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003400", "normalized_example_id": "ex_003400", "source_idx": 3400, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4849, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}+y^{2}\\leq9", "budget": 4849 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003400", "normalized_example_id": "ex_003400", "source_idx": 3400, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4849, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 1515 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003401", "normalized_example_id": "ex_003401", "source_idx": 3401, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2525, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 2020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003401", "normalized_example_id": "ex_003401", "source_idx": 3401, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2525, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 2525 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003401", "normalized_example_id": "ex_003401", "source_idx": 3401, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2525, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{501}", "budget": 4767 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003402", "normalized_example_id": "ex_003402", "source_idx": 3402, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7945, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{501}", "budget": 6356 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003402", "normalized_example_id": "ex_003402", "source_idx": 3402, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7945, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{501}", "budget": 7945 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003402", "normalized_example_id": "ex_003402", "source_idx": 3402, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7945, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 3482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003403", "normalized_example_id": "ex_003403", "source_idx": 3403, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5803, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 4642 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003403", "normalized_example_id": "ex_003403", "source_idx": 3403, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5803, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 5803 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003403", "normalized_example_id": "ex_003403", "source_idx": 3403, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5803, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\ln\\frac{3}{2}", "budget": 1222 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003404", "normalized_example_id": "ex_003404", "source_idx": 3404, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2037, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\ln\\frac{3}{2}", "budget": 1630 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003404", "normalized_example_id": "ex_003404", "source_idx": 3404, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2037, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\ln\\frac{3}{2}", "budget": 2037 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003404", "normalized_example_id": "ex_003404", "source_idx": 3404, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2037, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 3604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003409", "normalized_example_id": "ex_003409", "source_idx": 3409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6007, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 4806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003409", "normalized_example_id": "ex_003409", "source_idx": 3409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6007, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 6007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003409", "normalized_example_id": "ex_003409", "source_idx": 3409, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6007, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "634", "budget": 944 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003410", "normalized_example_id": "ex_003410", "source_idx": 3410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "634", "budget": 1258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003410", "normalized_example_id": "ex_003410", "source_idx": 3410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "634", "budget": 1573 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003410", "normalized_example_id": "ex_003410", "source_idx": 3410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{6}", "budget": 3099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003411", "normalized_example_id": "ex_003411", "source_idx": 3411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{6}", "budget": 4132 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003411", "normalized_example_id": "ex_003411", "source_idx": 3411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{6}", "budget": 5165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003411", "normalized_example_id": "ex_003411", "source_idx": 3411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 11", "budget": 3890 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003412", "normalized_example_id": "ex_003412", "source_idx": 3412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6484, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 11", "budget": 5187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003412", "normalized_example_id": "ex_003412", "source_idx": 3412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6484, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 11", "budget": 6484 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003412", "normalized_example_id": "ex_003412", "source_idx": 3412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6484, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=4\\left(\\frac{x^{2}(1+x)}{1-x}\\right)^{1/3}", "budget": 2863 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003414", "normalized_example_id": "ex_003414", "source_idx": 3414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=4\\left(\\frac{x^{2}(1+x)}{1-x}\\right)^{1/3}", "budget": 3817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003414", "normalized_example_id": "ex_003414", "source_idx": 3414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=4\\left(\\frac{x^{2}(1+x)}{1-x}\\right)^{1/3}", "budget": 4771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003414", "normalized_example_id": "ex_003414", "source_idx": 3414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003415", "normalized_example_id": "ex_003415", "source_idx": 3415, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2890 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003415", "normalized_example_id": "ex_003415", "source_idx": 3415, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003415", "normalized_example_id": "ex_003415", "source_idx": 3415, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3328", "budget": 928 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003416", "normalized_example_id": "ex_003416", "source_idx": 3416, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3328", "budget": 1238 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003416", "normalized_example_id": "ex_003416", "source_idx": 3416, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3328", "budget": 1547 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003416", "normalized_example_id": "ex_003416", "source_idx": 3416, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 1657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003417", "normalized_example_id": "ex_003417", "source_idx": 3417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2761, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 2209 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003417", "normalized_example_id": "ex_003417", "source_idx": 3417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2761, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 2761 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003417", "normalized_example_id": "ex_003417", "source_idx": 3417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2761, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 793 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003418", "normalized_example_id": "ex_003418", "source_idx": 3418, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1322, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1058 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003418", "normalized_example_id": "ex_003418", "source_idx": 3418, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1322, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003418", "normalized_example_id": "ex_003418", "source_idx": 3418, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1322, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 1385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003419", "normalized_example_id": "ex_003419", "source_idx": 3419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 1847 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003419", "normalized_example_id": "ex_003419", "source_idx": 3419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 2309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003419", "normalized_example_id": "ex_003419", "source_idx": 3419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "38", "budget": 5923 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003421", "normalized_example_id": "ex_003421", "source_idx": 3421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003421", "normalized_example_id": "ex_003421", "source_idx": 3421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003421", "normalized_example_id": "ex_003421", "source_idx": 3421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\beta=\\frac{\\pi}{4}", "budget": 3675 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003422", "normalized_example_id": "ex_003422", "source_idx": 3422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\beta=\\frac{\\pi}{4}", "budget": 4900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003422", "normalized_example_id": "ex_003422", "source_idx": 3422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\beta=\\frac{\\pi}{4}", "budget": 6125 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003422", "normalized_example_id": "ex_003422", "source_idx": 3422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.5", "budget": 2401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003423", "normalized_example_id": "ex_003423", "source_idx": 3423, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.5", "budget": 3201 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003423", "normalized_example_id": "ex_003423", "source_idx": 3423, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.5", "budget": 4001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003423", "normalized_example_id": "ex_003423", "source_idx": 3423, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4001, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{AB \\cdot CD}{AB + CD}", "budget": 2462 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003424", "normalized_example_id": "ex_003424", "source_idx": 3424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{AB \\cdot CD}{AB + CD}", "budget": 3283 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003424", "normalized_example_id": "ex_003424", "source_idx": 3424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{AB \\cdot CD}{AB + CD}", "budget": 4104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003424", "normalized_example_id": "ex_003424", "source_idx": 3424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{(A)}", "budget": 995 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003425", "normalized_example_id": "ex_003425", "source_idx": 3425, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{(A)}", "budget": 1326 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003425", "normalized_example_id": "ex_003425", "source_idx": 3425, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{(A)}", "budget": 1658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003425", "normalized_example_id": "ex_003425", "source_idx": 3425, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:3", "budget": 1356 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003427", "normalized_example_id": "ex_003427", "source_idx": 3427, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:3", "budget": 1808 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003427", "normalized_example_id": "ex_003427", "source_idx": 3427, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:3", "budget": 2260 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003427", "normalized_example_id": "ex_003427", "source_idx": 3427, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(a, b) = a | b", "budget": 1859 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003428", "normalized_example_id": "ex_003428", "source_idx": 3428, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3099, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(a, b) = a | b", "budget": 2479 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003428", "normalized_example_id": "ex_003428", "source_idx": 3428, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3099, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(a, b) = a | b", "budget": 3099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003428", "normalized_example_id": "ex_003428", "source_idx": 3428, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3099, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 5603 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003430", "normalized_example_id": "ex_003430", "source_idx": 3430, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 7471 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003430", "normalized_example_id": "ex_003430", "source_idx": 3430, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 9339 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003430", "normalized_example_id": "ex_003430", "source_idx": 3430, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 2589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003431", "normalized_example_id": "ex_003431", "source_idx": 3431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4315, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 3452 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003431", "normalized_example_id": "ex_003431", "source_idx": 3431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4315, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 4315 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003431", "normalized_example_id": "ex_003431", "source_idx": 3431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4315, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{2}", "budget": 4976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003432", "normalized_example_id": "ex_003432", "source_idx": 3432, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{2}", "budget": 6635 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003432", "normalized_example_id": "ex_003432", "source_idx": 3432, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{2}", "budget": 8294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003432", "normalized_example_id": "ex_003432", "source_idx": 3432, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8294, ...