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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, -1, 0, 1, 2", "budget": 4068 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002773", "normalized_example_id": "ex_002773", "source_idx": 2773, "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": "2+\\sqrt{5}", "budget": 4381 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002775", "normalized_example_id": "ex_002775", "source_idx": 2775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}", "budget": 5841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002775", "normalized_example_id": "ex_002775", "source_idx": 2775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}", "budget": 7301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002775", "normalized_example_id": "ex_002775", "source_idx": 2775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "43", "budget": 5379 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002779", "normalized_example_id": "ex_002779", "source_idx": 2779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "43", "budget": 7172 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002779", "normalized_example_id": "ex_002779", "source_idx": 2779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "43", "budget": 8965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002779", "normalized_example_id": "ex_002779", "source_idx": 2779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x", "budget": 1799 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002781", "normalized_example_id": "ex_002781", "source_idx": 2781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2998, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x", "budget": 2398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002781", "normalized_example_id": "ex_002781", "source_idx": 2781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2998, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x", "budget": 2998 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002781", "normalized_example_id": "ex_002781", "source_idx": 2781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2998, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{24}{7}", "budget": 5929 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002782", "normalized_example_id": "ex_002782", "source_idx": 2782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9881, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{24}{7}", "budget": 7905 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002782", "normalized_example_id": "ex_002782", "source_idx": 2782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9881, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{24}{7}", "budget": 9881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002782", "normalized_example_id": "ex_002782", "source_idx": 2782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9881, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "138600", "budget": 2110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002783", "normalized_example_id": "ex_002783", "source_idx": 2783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "138600", "budget": 2813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002783", "normalized_example_id": "ex_002783", "source_idx": 2783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "138600", "budget": 3516 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002783", "normalized_example_id": "ex_002783", "source_idx": 2783, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "is", "budget": 4945 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002785", "normalized_example_id": "ex_002785", "source_idx": 2785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8242, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "is", "budget": 6594 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002785", "normalized_example_id": "ex_002785", "source_idx": 2785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8242, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "is", "budget": 8242 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002785", "normalized_example_id": "ex_002785", "source_idx": 2785, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8242, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002787", "normalized_example_id": "ex_002787", "source_idx": 2787, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8386, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002787", "normalized_example_id": "ex_002787", "source_idx": 2787, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8386, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8386 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002787", "normalized_example_id": "ex_002787", "source_idx": 2787, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8386, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{182}{729}", "budget": 3028 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002788", "normalized_example_id": "ex_002788", "source_idx": 2788, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{182}{729}", "budget": 4038 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002788", "normalized_example_id": "ex_002788", "source_idx": 2788, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{182}{729}", "budget": 5047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002788", "normalized_example_id": "ex_002788", "source_idx": 2788, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2x-1)\\sin2x+\\cos2x+C", "budget": 884 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002789", "normalized_example_id": "ex_002789", "source_idx": 2789, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1474, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2x-1)\\sin2x+\\cos2x+C", "budget": 1179 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002789", "normalized_example_id": "ex_002789", "source_idx": 2789, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1474, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2x-1)\\sin2x+\\cos2x+C", "budget": 1474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002789", "normalized_example_id": "ex_002789", "source_idx": 2789, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1474, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-1,-1)", "budget": 858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002794", "normalized_example_id": "ex_002794", "source_idx": 2794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1430, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-1,-1)", "budget": 1144 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002794", "normalized_example_id": "ex_002794", "source_idx": 2794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1430, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-1,-1)", "budget": 1430 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002794", "normalized_example_id": "ex_002794", "source_idx": 2794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1430, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(6,7,5,3)", "budget": 1488 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002797", "normalized_example_id": "ex_002797", "source_idx": 2797, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2480, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(6,7,5,3)", "budget": 1984 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002797", "normalized_example_id": "ex_002797", "source_idx": 2797, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2480, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(6,7,5,3)", "budget": 2480 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002797", "normalized_example_id": "ex_002797", "source_idx": 2797, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2480, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 3, 6, 7, 8, 9", "budget": 6040 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002799", "normalized_example_id": "ex_002799", "source_idx": 2799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 3, 6, 7, 8, 9", "budget": 8054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002799", "normalized_example_id": "ex_002799", "source_idx": 2799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 3, 6, 7, 8, 9", "budget": 10067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002799", "normalized_example_id": "ex_002799", "source_idx": 2799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 5080 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002804", "normalized_example_id": "ex_002804", "source_idx": 2804, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8466, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 6773 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002804", "normalized_example_id": "ex_002804", "source_idx": 2804, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8466, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 8466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002804", "normalized_example_id": "ex_002804", "source_idx": 2804, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8466, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34or66", "budget": 3424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002805", "normalized_example_id": "ex_002805", "source_idx": 2805, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34or66", "budget": 4566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002805", "normalized_example_id": "ex_002805", "source_idx": 2805, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34or66", "budget": 5707 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002805", "normalized_example_id": "ex_002805", "source_idx": 2805, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\frac{1}{2}, y=\\frac{1}{3}", "budget": 3581 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002809", "normalized_example_id": "ex_002809", "source_idx": 2809, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5968, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\frac{1}{2}, y=\\frac{1}{3}", "budget": 4774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002809", "normalized_example_id": "ex_002809", "source_idx": 2809, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5968, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\frac{1}{2}, y=\\frac{1}{3}", "budget": 5968 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002809", "normalized_example_id": "ex_002809", "source_idx": 2809, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5968, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,2)", "budget": 1337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002812", "normalized_example_id": "ex_002812", "source_idx": 2812, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2229, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,2)", "budget": 1783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002812", "normalized_example_id": "ex_002812", "source_idx": 2812, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2229, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,2)", "budget": 2229 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002812", "normalized_example_id": "ex_002812", "source_idx": 2812, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2229, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 3383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002820", "normalized_example_id": "ex_002820", "source_idx": 2820, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5639, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 4511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002820", "normalized_example_id": "ex_002820", "source_idx": 2820, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5639, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 5639 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002820", "normalized_example_id": "ex_002820", "source_idx": 2820, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5639, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3430", "budget": 2741 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002822", "normalized_example_id": "ex_002822", "source_idx": 2822, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4569, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3430", "budget": 3655 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002822", "normalized_example_id": "ex_002822", "source_idx": 2822, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4569, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3430", "budget": 4569 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002822", "normalized_example_id": "ex_002822", "source_idx": 2822, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4569, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi", "budget": 1576 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002827", "normalized_example_id": "ex_002827", "source_idx": 2827, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2626, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi", "budget": 2101 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002827", "normalized_example_id": "ex_002827", "source_idx": 2827, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2626, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi", "budget": 2626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002827", "normalized_example_id": "ex_002827", "source_idx": 2827, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2626, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-1)^{2}+y^{2}=1", "budget": 2634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002829", "normalized_example_id": "ex_002829", "source_idx": 2829, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-1)^{2}+y^{2}=1", "budget": 3512 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002829", "normalized_example_id": "ex_002829", "source_idx": 2829, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-1)^{2}+y^{2}=1", "budget": 4390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002829", "normalized_example_id": "ex_002829", "source_idx": 2829, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 3535 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002830", "normalized_example_id": "ex_002830", "source_idx": 2830, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5892, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 4714 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002830", "normalized_example_id": "ex_002830", "source_idx": 2830, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5892, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 5892 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002830", "normalized_example_id": "ex_002830", "source_idx": 2830, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5892, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 2386 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002831", "normalized_example_id": "ex_002831", "source_idx": 2831, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 3181 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002831", "normalized_example_id": "ex_002831", "source_idx": 2831, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 3976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002831", "normalized_example_id": "ex_002831", "source_idx": 2831, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3976, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2012", "budget": 1528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002832", "normalized_example_id": "ex_002832", "source_idx": 2832, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2012", "budget": 2038 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002832", "normalized_example_id": "ex_002832", "source_idx": 2832, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2012", "budget": 2547 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002832", "normalized_example_id": "ex_002832", "source_idx": 2832, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y=x^{2}-4 x+3", "budget": 2992 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002835", "normalized_example_id": "ex_002835", "source_idx": 2835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y=x^{2}-4 x+3", "budget": 3989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002835", "normalized_example_id": "ex_002835", "source_idx": 2835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y=x^{2}-4 x+3", "budget": 4986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002835", "normalized_example_id": "ex_002835", "source_idx": 2835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 714 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002837", "normalized_example_id": "ex_002837", "source_idx": 2837, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 952 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002837", "normalized_example_id": "ex_002837", "source_idx": 2837, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 1190 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002837", "normalized_example_id": "ex_002837", "source_idx": 2837, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 2866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002838", "normalized_example_id": "ex_002838", "source_idx": 2838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4776, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 3821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002838", "normalized_example_id": "ex_002838", "source_idx": 2838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4776, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 4776 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002838", "normalized_example_id": "ex_002838", "source_idx": 2838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4776, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "227", "budget": 3837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002843", "normalized_example_id": "ex_002843", "source_idx": 2843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6395, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "227", "budget": 5116 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002843", "normalized_example_id": "ex_002843", "source_idx": 2843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6395, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "227", "budget": 6395 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002843", "normalized_example_id": "ex_002843", "source_idx": 2843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6395, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2476 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002844", "normalized_example_id": "ex_002844", "source_idx": 2844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4126, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002844", "normalized_example_id": "ex_002844", "source_idx": 2844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4126, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4126 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002844", "normalized_example_id": "ex_002844", "source_idx": 2844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4126, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 6109 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002848", "normalized_example_id": "ex_002848", "source_idx": 2848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 8146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002848", "normalized_example_id": "ex_002848", "source_idx": 2848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 10182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002848", "normalized_example_id": "ex_002848", "source_idx": 2848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10182, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{15\\sqrt{2}}{2}", "budget": 2537 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002849", "normalized_example_id": "ex_002849", "source_idx": 2849, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4228, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{15\\sqrt{2}}{2}", "budget": 3382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002849", "normalized_example_id": "ex_002849", "source_idx": 2849, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4228, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{15\\sqrt{2}}{2}", "budget": 4228 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002849", "normalized_example_id": "ex_002849", "source_idx": 2849, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4228, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3232", "budget": 2551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002852", "normalized_example_id": "ex_002852", "source_idx": 2852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3232", "budget": 3401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002852", "normalized_example_id": "ex_002852", "source_idx": 2852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3232", "budget": 4251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002852", "normalized_example_id": "ex_002852", "source_idx": 2852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{7}{2}", "budget": 3420 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002853", "normalized_example_id": "ex_002853", "source_idx": 2853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5700, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{7}{2}", "budget": 4560 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002853", "normalized_example_id": "ex_002853", "source_idx": 2853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5700, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{7}{2}", "budget": 5700 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002853", "normalized_example_id": "ex_002853", "source_idx": 2853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5700, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "130", "budget": 2691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002855", "normalized_example_id": "ex_002855", "source_idx": 2855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4485, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "130", "budget": 3588 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002855", "normalized_example_id": "ex_002855", "source_idx": 2855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4485, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "130", "budget": 4485 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002855", "normalized_example_id": "ex_002855", "source_idx": 2855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4485, ...