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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": "2\\sqrt{(\\frac{24}{7})^{7}}", "budget": 5853 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002056", "normalized_example_id": "ex_002056", "source_idx": 2056, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9755, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{(\\frac{24}{7})^{7}}", "budget": 7804 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002056", "normalized_example_id": "ex_002056", "source_idx": 2056, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9755, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{(\\frac{24}{7})^{7}}", "budget": 9755 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002056", "normalized_example_id": "ex_002056", "source_idx": 2056, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9755, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-0.5", "budget": 4933 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002057", "normalized_example_id": "ex_002057", "source_idx": 2057, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8222, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-0.5", "budget": 6578 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002057", "normalized_example_id": "ex_002057", "source_idx": 2057, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8222, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-0.5", "budget": 8222 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002057", "normalized_example_id": "ex_002057", "source_idx": 2057, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8222, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-5", "budget": 3203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002058", "normalized_example_id": "ex_002058", "source_idx": 2058, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-5", "budget": 4271 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002058", "normalized_example_id": "ex_002058", "source_idx": 2058, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-5", "budget": 5339 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002058", "normalized_example_id": "ex_002058", "source_idx": 2058, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5339, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-19", "budget": 2183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002059", "normalized_example_id": "ex_002059", "source_idx": 2059, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3638, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-19", "budget": 2910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002059", "normalized_example_id": "ex_002059", "source_idx": 2059, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3638, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-19", "budget": 3638 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002059", "normalized_example_id": "ex_002059", "source_idx": 2059, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3638, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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<x<\\frac{-3+3\\sqrt{17}}{2}", "budget": 1939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002060", "normalized_example_id": "ex_002060", "source_idx": 2060, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3232, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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<x<\\frac{-3+3\\sqrt{17}}{2}", "budget": 2586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002060", "normalized_example_id": "ex_002060", "source_idx": 2060, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3232, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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<x<\\frac{-3+3\\sqrt{17}}{2}", "budget": 3232 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002060", "normalized_example_id": "ex_002060", "source_idx": 2060, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3232, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3603 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002063", "normalized_example_id": "ex_002063", "source_idx": 2063, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4804 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002063", "normalized_example_id": "ex_002063", "source_idx": 2063, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002063", "normalized_example_id": "ex_002063", "source_idx": 2063, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6005, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002067", "normalized_example_id": "ex_002067", "source_idx": 2067, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3708, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2966 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002067", "normalized_example_id": "ex_002067", "source_idx": 2067, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3708, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002067", "normalized_example_id": "ex_002067", "source_idx": 2067, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3708, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2)", "budget": 3695 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002069", "normalized_example_id": "ex_002069", "source_idx": 2069, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6158, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2)", "budget": 4926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002069", "normalized_example_id": "ex_002069", "source_idx": 2069, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6158, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2)", "budget": 6158 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002069", "normalized_example_id": "ex_002069", "source_idx": 2069, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6158, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:1", "budget": 5299 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002070", "normalized_example_id": "ex_002070", "source_idx": 2070, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8832, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:1", "budget": 7066 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002070", "normalized_example_id": "ex_002070", "source_idx": 2070, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8832, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:1", "budget": 8832 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002070", "normalized_example_id": "ex_002070", "source_idx": 2070, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8832, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1010", "budget": 1689 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002072", "normalized_example_id": "ex_002072", "source_idx": 2072, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2815, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1010", "budget": 2252 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002072", "normalized_example_id": "ex_002072", "source_idx": 2072, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2815, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1010", "budget": 2815 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002072", "normalized_example_id": "ex_002072", "source_idx": 2072, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2815, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{k(k-1)(k-2)}{3}", "budget": 1582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002073", "normalized_example_id": "ex_002073", "source_idx": 2073, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2636, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{k(k-1)(k-2)}{3}", "budget": 2109 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002073", "normalized_example_id": "ex_002073", "source_idx": 2073, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2636, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{k(k-1)(k-2)}{3}", "budget": 2636 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002073", "normalized_example_id": "ex_002073", "source_idx": 2073, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2636, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3542 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002074", "normalized_example_id": "ex_002074", "source_idx": 2074, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5904, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4723 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002074", "normalized_example_id": "ex_002074", "source_idx": 2074, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5904, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5904 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002074", "normalized_example_id": "ex_002074", "source_idx": 2074, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5904, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 833 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002075", "normalized_example_id": "ex_002075", "source_idx": 2075, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 1111 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002075", "normalized_example_id": "ex_002075", "source_idx": 2075, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 1389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002075", "normalized_example_id": "ex_002075", "source_idx": 2075, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16\\,", "budget": 3632 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002076", "normalized_example_id": "ex_002076", "source_idx": 2076, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6054, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16\\,", "budget": 4843 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002076", "normalized_example_id": "ex_002076", "source_idx": 2076, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6054, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16\\,", "budget": 6054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002076", "normalized_example_id": "ex_002076", "source_idx": 2076, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6054, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2kn-2k^{2}+2k-1}{n^{2}}", "budget": 4849 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002078", "normalized_example_id": "ex_002078", "source_idx": 2078, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8081, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2kn-2k^{2}+2k-1}{n^{2}}", "budget": 6465 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002078", "normalized_example_id": "ex_002078", "source_idx": 2078, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8081, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2kn-2k^{2}+2k-1}{n^{2}}", "budget": 8081 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002078", "normalized_example_id": "ex_002078", "source_idx": 2078, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8081, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.64", "budget": 4291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002080", "normalized_example_id": "ex_002080", "source_idx": 2080, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7152, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.64", "budget": 5722 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002080", "normalized_example_id": "ex_002080", "source_idx": 2080, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7152, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.64", "budget": 7152 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002080", "normalized_example_id": "ex_002080", "source_idx": 2080, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7152, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,2]", "budget": 4219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002081", "normalized_example_id": "ex_002081", "source_idx": 2081, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,2]", "budget": 5625 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002081", "normalized_example_id": "ex_002081", "source_idx": 2081, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,2]", "budget": 7031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002081", "normalized_example_id": "ex_002081", "source_idx": 2081, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "198", "budget": 1504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002085", "normalized_example_id": "ex_002085", "source_idx": 2085, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "198", "budget": 2005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002085", "normalized_example_id": "ex_002085", "source_idx": 2085, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "198", "budget": 2506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002085", "normalized_example_id": "ex_002085", "source_idx": 2085, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4300 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002087", "normalized_example_id": "ex_002087", "source_idx": 2087, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7166, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5733 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002087", "normalized_example_id": "ex_002087", "source_idx": 2087, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7166, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002087", "normalized_example_id": "ex_002087", "source_idx": 2087, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7166, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5078 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002090", "normalized_example_id": "ex_002090", "source_idx": 2090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8463, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002090", "normalized_example_id": "ex_002090", "source_idx": 2090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8463, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8463 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002090", "normalized_example_id": "ex_002090", "source_idx": 2090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8463, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=6, y=12", "budget": 666 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002091", "normalized_example_id": "ex_002091", "source_idx": 2091, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=6, y=12", "budget": 888 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002091", "normalized_example_id": "ex_002091", "source_idx": 2091, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=6, y=12", "budget": 1110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002091", "normalized_example_id": "ex_002091", "source_idx": 2091, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p-4", "budget": 2689 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002097", "normalized_example_id": "ex_002097", "source_idx": 2097, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4482, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p-4", "budget": 3586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002097", "normalized_example_id": "ex_002097", "source_idx": 2097, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4482, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "p-4", "budget": 4482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002097", "normalized_example_id": "ex_002097", "source_idx": 2097, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4482, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 1714 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002098", "normalized_example_id": "ex_002098", "source_idx": 2098, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2856, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 2285 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002098", "normalized_example_id": "ex_002098", "source_idx": 2098, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2856, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 2856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002098", "normalized_example_id": "ex_002098", "source_idx": 2098, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2856, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1080 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002101", "normalized_example_id": "ex_002101", "source_idx": 2101, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1800, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1440 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002101", "normalized_example_id": "ex_002101", "source_idx": 2101, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1800, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1800 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002101", "normalized_example_id": "ex_002101", "source_idx": 2101, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1800, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AB=25", "budget": 1551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002103", "normalized_example_id": "ex_002103", "source_idx": 2103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AB=25", "budget": 2068 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002103", "normalized_example_id": "ex_002103", "source_idx": 2103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AB=25", "budget": 2585 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002103", "normalized_example_id": "ex_002103", "source_idx": 2103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9599", "budget": 5925 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002107", "normalized_example_id": "ex_002107", "source_idx": 2107, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9875, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9599", "budget": 7900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002107", "normalized_example_id": "ex_002107", "source_idx": 2107, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9875, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9599", "budget": 9875 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002107", "normalized_example_id": "ex_002107", "source_idx": 2107, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9875, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "262or458", "budget": 1278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002113", "normalized_example_id": "ex_002113", "source_idx": 2113, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2130, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "262or458", "budget": 1704 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002113", "normalized_example_id": "ex_002113", "source_idx": 2113, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2130, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "262or458", "budget": 2130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002113", "normalized_example_id": "ex_002113", "source_idx": 2113, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2130, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1867\\mathrm{~}", "budget": 5470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002115", "normalized_example_id": "ex_002115", "source_idx": 2115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9116, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1867\\mathrm{~}", "budget": 7293 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002115", "normalized_example_id": "ex_002115", "source_idx": 2115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9116, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1867\\mathrm{~}", "budget": 9116 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002115", "normalized_example_id": "ex_002115", "source_idx": 2115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9116, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1776", "budget": 812 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002119", "normalized_example_id": "ex_002119", "source_idx": 2119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1776", "budget": 1083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002119", "normalized_example_id": "ex_002119", "source_idx": 2119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1776", "budget": 1354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002119", "normalized_example_id": "ex_002119", "source_idx": 2119, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{2}{3}", "budget": 2441 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002120", "normalized_example_id": "ex_002120", "source_idx": 2120, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{2}{3}", "budget": 3254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002120", "normalized_example_id": "ex_002120", "source_idx": 2120, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{2}{3}", "budget": 4068 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002120", "normalized_example_id": "ex_002120", "source_idx": 2120, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 4244 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002122", "normalized_example_id": "ex_002122", "source_idx": 2122, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 5658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002122", "normalized_example_id": "ex_002122", "source_idx": 2122, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 7073 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002122", "normalized_example_id": "ex_002122", "source_idx": 2122, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2}{3}", "budget": 2483 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002123", "normalized_example_id": "ex_002123", "source_idx": 2123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4138, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2}{3}", "budget": 3310 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002123", "normalized_example_id": "ex_002123", "source_idx": 2123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4138, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2}{3}", "budget": 4138 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002123", "normalized_example_id": "ex_002123", "source_idx": 2123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4138, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x,y,n)=(4,23,2)", "budget": 5713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002126", "normalized_example_id": "ex_002126", "source_idx": 2126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x,y,n)=(4,23,2)", "budget": 7618 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002126", "normalized_example_id": "ex_002126", "source_idx": 2126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x,y,n)=(4,23,2)", "budget": 9522 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002126", "normalized_example_id": "ex_002126", "source_idx": 2126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9522, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2}{9}", "budget": 2590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002127", "normalized_example_id": "ex_002127", "source_idx": 2127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4317, ...