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[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 1976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002249", "normalized_example_id": "ex_002249", "source_idx": 2249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3293, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 2634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002249", "normalized_example_id": "ex_002249", "source_idx": 2249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3293, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 3293 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002249", "normalized_example_id": "ex_002249", "source_idx": 2249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3293, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{b^{3}\\sqrt{3}}{24}", "budget": 3380 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002251", "normalized_example_id": "ex_002251", "source_idx": 2251, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5634, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{b^{3}\\sqrt{3}}{24}", "budget": 4507 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002251", "normalized_example_id": "ex_002251", "source_idx": 2251, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5634, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{b^{3}\\sqrt{3}}{24}", "budget": 5634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002251", "normalized_example_id": "ex_002251", "source_idx": 2251, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5634, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4447 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002253", "normalized_example_id": "ex_002253", "source_idx": 2253, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7412, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5930 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002253", "normalized_example_id": "ex_002253", "source_idx": 2253, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7412, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7412 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002253", "normalized_example_id": "ex_002253", "source_idx": 2253, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7412, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\in[-5,3]", "budget": 3072 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002255", "normalized_example_id": "ex_002255", "source_idx": 2255, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\in[-5,3]", "budget": 4096 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002255", "normalized_example_id": "ex_002255", "source_idx": 2255, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\in[-5,3]", "budget": 5120 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002255", "normalized_example_id": "ex_002255", "source_idx": 2255, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5120, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3125", "budget": 3815 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002257", "normalized_example_id": "ex_002257", "source_idx": 2257, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6359, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3125", "budget": 5087 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002257", "normalized_example_id": "ex_002257", "source_idx": 2257, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6359, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3125", "budget": 6359 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002257", "normalized_example_id": "ex_002257", "source_idx": 2257, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6359, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "39", "budget": 1183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002259", "normalized_example_id": "ex_002259", "source_idx": 2259, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "39", "budget": 1577 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002259", "normalized_example_id": "ex_002259", "source_idx": 2259, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "39", "budget": 1971 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002259", "normalized_example_id": "ex_002259", "source_idx": 2259, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1971, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002260", "normalized_example_id": "ex_002260", "source_idx": 2260, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002260", "normalized_example_id": "ex_002260", "source_idx": 2260, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002260", "normalized_example_id": "ex_002260", "source_idx": 2260, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "905", "budget": 4402 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002261", "normalized_example_id": "ex_002261", "source_idx": 2261, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "905", "budget": 5870 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002261", "normalized_example_id": "ex_002261", "source_idx": 2261, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "905", "budget": 7337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002261", "normalized_example_id": "ex_002261", "source_idx": 2261, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "713625", "budget": 1297 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002262", "normalized_example_id": "ex_002262", "source_idx": 2262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2162, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "713625", "budget": 1730 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002262", "normalized_example_id": "ex_002262", "source_idx": 2262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2162, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "713625", "budget": 2162 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002262", "normalized_example_id": "ex_002262", "source_idx": 2262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2162, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 3249 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002263", "normalized_example_id": "ex_002263", "source_idx": 2263, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5415, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 4332 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002263", "normalized_example_id": "ex_002263", "source_idx": 2263, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5415, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 5415 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002263", "normalized_example_id": "ex_002263", "source_idx": 2263, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5415, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2016", "budget": 1338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002264", "normalized_example_id": "ex_002264", "source_idx": 2264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2230, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2016", "budget": 1784 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002264", "normalized_example_id": "ex_002264", "source_idx": 2264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2230, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2016", "budget": 2230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002264", "normalized_example_id": "ex_002264", "source_idx": 2264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2230, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;1+\\sqrt{2};1-\\sqrt{2}", "budget": 3667 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002266", "normalized_example_id": "ex_002266", "source_idx": 2266, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6111, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;1+\\sqrt{2};1-\\sqrt{2}", "budget": 4889 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002266", "normalized_example_id": "ex_002266", "source_idx": 2266, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6111, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;1+\\sqrt{2};1-\\sqrt{2}", "budget": 6111 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002266", "normalized_example_id": "ex_002266", "source_idx": 2266, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6111, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4844 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002267", "normalized_example_id": "ex_002267", "source_idx": 2267, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8074, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002267", "normalized_example_id": "ex_002267", "source_idx": 2267, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8074, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002267", "normalized_example_id": "ex_002267", "source_idx": 2267, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8074, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16\\sqrt{6}}{9}", "budget": 3675 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002272", "normalized_example_id": "ex_002272", "source_idx": 2272, "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": "\\frac{16\\sqrt{6}}{9}", "budget": 4900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002272", "normalized_example_id": "ex_002272", "source_idx": 2272, "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": "\\frac{16\\sqrt{6}}{9}", "budget": 6125 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002272", "normalized_example_id": "ex_002272", "source_idx": 2272, "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": "4", "budget": 2316 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002273", "normalized_example_id": "ex_002273", "source_idx": 2273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3860, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002273", "normalized_example_id": "ex_002273", "source_idx": 2273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3860, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3860 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002273", "normalized_example_id": "ex_002273", "source_idx": 2273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3860, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4063 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002274", "normalized_example_id": "ex_002274", "source_idx": 2274, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5417 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002274", "normalized_example_id": "ex_002274", "source_idx": 2274, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002274", "normalized_example_id": "ex_002274", "source_idx": 2274, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 5336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002276", "normalized_example_id": "ex_002276", "source_idx": 2276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 7114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002276", "normalized_example_id": "ex_002276", "source_idx": 2276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 8893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002276", "normalized_example_id": "ex_002276", "source_idx": 2276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4036 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002277", "normalized_example_id": "ex_002277", "source_idx": 2277, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6727, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002277", "normalized_example_id": "ex_002277", "source_idx": 2277, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6727, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6727 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002277", "normalized_example_id": "ex_002277", "source_idx": 2277, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6727, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 1589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002279", "normalized_example_id": "ex_002279", "source_idx": 2279, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2648, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 2118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002279", "normalized_example_id": "ex_002279", "source_idx": 2279, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2648, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 2648 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002279", "normalized_example_id": "ex_002279", "source_idx": 2279, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2648, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.6", "budget": 3707 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002280", "normalized_example_id": "ex_002280", "source_idx": 2280, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6179, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.6", "budget": 4943 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002280", "normalized_example_id": "ex_002280", "source_idx": 2280, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6179, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.6", "budget": 6179 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002280", "normalized_example_id": "ex_002280", "source_idx": 2280, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6179, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5891 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002281", "normalized_example_id": "ex_002281", "source_idx": 2281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7854 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002281", "normalized_example_id": "ex_002281", "source_idx": 2281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002281", "normalized_example_id": "ex_002281", "source_idx": 2281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "51", "budget": 1766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002282", "normalized_example_id": "ex_002282", "source_idx": 2282, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "51", "budget": 2354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002282", "normalized_example_id": "ex_002282", "source_idx": 2282, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "51", "budget": 2943 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002282", "normalized_example_id": "ex_002282", "source_idx": 2282, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{8}", "budget": 4504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002284", "normalized_example_id": "ex_002284", "source_idx": 2284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7507, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{8}", "budget": 6006 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002284", "normalized_example_id": "ex_002284", "source_idx": 2284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7507, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{8}", "budget": 7507 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002284", "normalized_example_id": "ex_002284", "source_idx": 2284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7507, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 2677 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002285", "normalized_example_id": "ex_002285", "source_idx": 2285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 3569 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002285", "normalized_example_id": "ex_002285", "source_idx": 2285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 4461 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002285", "normalized_example_id": "ex_002285", "source_idx": 2285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1009", "budget": 4195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002286", "normalized_example_id": "ex_002286", "source_idx": 2286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6992, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1009", "budget": 5594 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002286", "normalized_example_id": "ex_002286", "source_idx": 2286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6992, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1009", "budget": 6992 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002286", "normalized_example_id": "ex_002286", "source_idx": 2286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6992, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{2}", "budget": 4792 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002288", "normalized_example_id": "ex_002288", "source_idx": 2288, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{2}", "budget": 6389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002288", "normalized_example_id": "ex_002288", "source_idx": 2288, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{2}", "budget": 7986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002288", "normalized_example_id": "ex_002288", "source_idx": 2288, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63", "budget": 4504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002290", "normalized_example_id": "ex_002290", "source_idx": 2290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63", "budget": 6005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002290", "normalized_example_id": "ex_002290", "source_idx": 2290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63", "budget": 7506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002290", "normalized_example_id": "ex_002290", "source_idx": 2290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3671 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002291", "normalized_example_id": "ex_002291", "source_idx": 2291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6119, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4895 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002291", "normalized_example_id": "ex_002291", "source_idx": 2291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6119, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002291", "normalized_example_id": "ex_002291", "source_idx": 2291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6119, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{3}}", "budget": 3045 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002294", "normalized_example_id": "ex_002294", "source_idx": 2294, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{3}}", "budget": 4060 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002294", "normalized_example_id": "ex_002294", "source_idx": 2294, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{3}}", "budget": 5075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002294", "normalized_example_id": "ex_002294", "source_idx": 2294, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10\\sqrt{13}}{13}", "budget": 1144 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002297", "normalized_example_id": "ex_002297", "source_idx": 2297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1906, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10\\sqrt{13}}{13}", "budget": 1525 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002297", "normalized_example_id": "ex_002297", "source_idx": 2297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1906, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10\\sqrt{13}}{13}", "budget": 1906 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002297", "normalized_example_id": "ex_002297", "source_idx": 2297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1906, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 2747 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002298", "normalized_example_id": "ex_002298", "source_idx": 2298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 3663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002298", "normalized_example_id": "ex_002298", "source_idx": 2298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 4579 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002298", "normalized_example_id": "ex_002298", "source_idx": 2298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a + b + c = 0", "budget": 3293 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002302", "normalized_example_id": "ex_002302", "source_idx": 2302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5489, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a + b + c = 0", "budget": 4391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002302", "normalized_example_id": "ex_002302", "source_idx": 2302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5489, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a + b + c = 0", "budget": 5489 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002302", "normalized_example_id": "ex_002302", "source_idx": 2302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5489, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "429", "budget": 3586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002303", "normalized_example_id": "ex_002303", "source_idx": 2303, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "429", "budget": 4781 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002303", "normalized_example_id": "ex_002303", "source_idx": 2303, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "429", "budget": 5976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002303", "normalized_example_id": "ex_002303", "source_idx": 2303, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 1514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002304", "normalized_example_id": "ex_002304", "source_idx": 2304, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2524, ...