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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": "900", "budget": 1075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003772", "normalized_example_id": "ex_003772", "source_idx": 3772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 2163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003774", "normalized_example_id": "ex_003774", "source_idx": 3774, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 2884 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003774", "normalized_example_id": "ex_003774", "source_idx": 3774, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 3605 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003774", "normalized_example_id": "ex_003774", "source_idx": 3774, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "133", "budget": 1842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003779", "normalized_example_id": "ex_003779", "source_idx": 3779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3070, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "133", "budget": 2456 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003779", "normalized_example_id": "ex_003779", "source_idx": 3779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3070, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "133", "budget": 3070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003779", "normalized_example_id": "ex_003779", "source_idx": 3779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3070, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{4}", "budget": 1335 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003781", "normalized_example_id": "ex_003781", "source_idx": 3781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2225, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{4}", "budget": 1780 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003781", "normalized_example_id": "ex_003781", "source_idx": 3781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2225, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{4}", "budget": 2225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003781", "normalized_example_id": "ex_003781", "source_idx": 3781, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2225, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017", "budget": 2795 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003782", "normalized_example_id": "ex_003782", "source_idx": 3782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017", "budget": 3727 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003782", "normalized_example_id": "ex_003782", "source_idx": 3782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017", "budget": 4659 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003782", "normalized_example_id": "ex_003782", "source_idx": 3782, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1390", "budget": 1372 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003789", "normalized_example_id": "ex_003789", "source_idx": 3789, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2286, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1390", "budget": 1829 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003789", "normalized_example_id": "ex_003789", "source_idx": 3789, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2286, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1390", "budget": 2286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003789", "normalized_example_id": "ex_003789", "source_idx": 3789, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2286, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "46\\frac{2}{3},4\\sqrt{14}", "budget": 1841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003790", "normalized_example_id": "ex_003790", "source_idx": 3790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "46\\frac{2}{3},4\\sqrt{14}", "budget": 2454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003790", "normalized_example_id": "ex_003790", "source_idx": 3790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "46\\frac{2}{3},4\\sqrt{14}", "budget": 3068 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003790", "normalized_example_id": "ex_003790", "source_idx": 3790, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3068, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 5023 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003793", "normalized_example_id": "ex_003793", "source_idx": 3793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8371, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 6697 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003793", "normalized_example_id": "ex_003793", "source_idx": 3793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8371, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 8371 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003793", "normalized_example_id": "ex_003793", "source_idx": 3793, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8371, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 1972 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003794", "normalized_example_id": "ex_003794", "source_idx": 3794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3287, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 2630 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003794", "normalized_example_id": "ex_003794", "source_idx": 3794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3287, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 3287 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003794", "normalized_example_id": "ex_003794", "source_idx": 3794, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3287, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003795", "normalized_example_id": "ex_003795", "source_idx": 3795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2819 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003795", "normalized_example_id": "ex_003795", "source_idx": 3795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003795", "normalized_example_id": "ex_003795", "source_idx": 3795, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "677", "budget": 2150 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003798", "normalized_example_id": "ex_003798", "source_idx": 3798, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3584, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "677", "budget": 2867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003798", "normalized_example_id": "ex_003798", "source_idx": 3798, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3584, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "677", "budget": 3584 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003798", "normalized_example_id": "ex_003798", "source_idx": 3798, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3584, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{10}{3},\\frac{3+\\sqrt{13}}{2}", "budget": 3695 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003799", "normalized_example_id": "ex_003799", "source_idx": 3799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6159, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{10}{3},\\frac{3+\\sqrt{13}}{2}", "budget": 4927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003799", "normalized_example_id": "ex_003799", "source_idx": 3799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6159, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{10}{3},\\frac{3+\\sqrt{13}}{2}", "budget": 6159 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003799", "normalized_example_id": "ex_003799", "source_idx": 3799, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6159, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=1,q_{1}=-6;p_{2}=-1,q_{2}=-6", "budget": 3238 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003801", "normalized_example_id": "ex_003801", "source_idx": 3801, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=1,q_{1}=-6;p_{2}=-1,q_{2}=-6", "budget": 4317 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003801", "normalized_example_id": "ex_003801", "source_idx": 3801, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=1,q_{1}=-6;p_{2}=-1,q_{2}=-6", "budget": 5396 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003801", "normalized_example_id": "ex_003801", "source_idx": 3801, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4731", "budget": 2959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003802", "normalized_example_id": "ex_003802", "source_idx": 3802, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4731", "budget": 3945 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003802", "normalized_example_id": "ex_003802", "source_idx": 3802, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4731", "budget": 4931 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003802", "normalized_example_id": "ex_003802", "source_idx": 3802, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "240", "budget": 3679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003805", "normalized_example_id": "ex_003805", "source_idx": 3805, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6131, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "240", "budget": 4905 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003805", "normalized_example_id": "ex_003805", "source_idx": 3805, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6131, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "240", "budget": 6131 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003805", "normalized_example_id": "ex_003805", "source_idx": 3805, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6131, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 1207 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003807", "normalized_example_id": "ex_003807", "source_idx": 3807, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2011, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 1609 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003807", "normalized_example_id": "ex_003807", "source_idx": 3807, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2011, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 2011 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003807", "normalized_example_id": "ex_003807", "source_idx": 3807, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2011, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 a b}{a+b}", "budget": 1566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003808", "normalized_example_id": "ex_003808", "source_idx": 3808, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2610, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 a b}{a+b}", "budget": 2088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003808", "normalized_example_id": "ex_003808", "source_idx": 3808, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2610, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 a b}{a+b}", "budget": 2610 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003808", "normalized_example_id": "ex_003808", "source_idx": 3808, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2610, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{3}", "budget": 1409 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003810", "normalized_example_id": "ex_003810", "source_idx": 3810, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2348, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{3}", "budget": 1878 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003810", "normalized_example_id": "ex_003810", "source_idx": 3810, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2348, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{3}", "budget": 2348 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003810", "normalized_example_id": "ex_003810", "source_idx": 3810, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2348, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 1679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003813", "normalized_example_id": "ex_003813", "source_idx": 3813, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2799, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 2239 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003813", "normalized_example_id": "ex_003813", "source_idx": 3813, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2799, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 2799 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003813", "normalized_example_id": "ex_003813", "source_idx": 3813, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2799, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1147 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003814", "normalized_example_id": "ex_003814", "source_idx": 3814, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1912, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003814", "normalized_example_id": "ex_003814", "source_idx": 3814, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1912, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1912 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003814", "normalized_example_id": "ex_003814", "source_idx": 3814, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1912, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 2418 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003818", "normalized_example_id": "ex_003818", "source_idx": 3818, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4030, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 3224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003818", "normalized_example_id": "ex_003818", "source_idx": 3818, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4030, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 4030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003818", "normalized_example_id": "ex_003818", "source_idx": 3818, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4030, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\cos ^{2} 2 x+2 \\cos 2 x-1=0", "budget": 5834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003822", "normalized_example_id": "ex_003822", "source_idx": 3822, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\cos ^{2} 2 x+2 \\cos 2 x-1=0", "budget": 7778 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003822", "normalized_example_id": "ex_003822", "source_idx": 3822, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\cos ^{2} 2 x+2 \\cos 2 x-1=0", "budget": 9723 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003822", "normalized_example_id": "ex_003822", "source_idx": 3822, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 4683 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003828", "normalized_example_id": "ex_003828", "source_idx": 3828, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7805, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 6244 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003828", "normalized_example_id": "ex_003828", "source_idx": 3828, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7805, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 7805 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003828", "normalized_example_id": "ex_003828", "source_idx": 3828, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7805, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12or75", "budget": 3236 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003832", "normalized_example_id": "ex_003832", "source_idx": 3832, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12or75", "budget": 4315 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003832", "normalized_example_id": "ex_003832", "source_idx": 3832, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12or75", "budget": 5394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003832", "normalized_example_id": "ex_003832", "source_idx": 3832, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003833", "normalized_example_id": "ex_003833", "source_idx": 3833, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1598, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 1278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003833", "normalized_example_id": "ex_003833", "source_idx": 3833, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1598, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 1598 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003833", "normalized_example_id": "ex_003833", "source_idx": 3833, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1598, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "104", "budget": 1624 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003835", "normalized_example_id": "ex_003835", "source_idx": 3835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "104", "budget": 2166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003835", "normalized_example_id": "ex_003835", "source_idx": 3835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "104", "budget": 2707 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003835", "normalized_example_id": "ex_003835", "source_idx": 3835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003836", "normalized_example_id": "ex_003836", "source_idx": 3836, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3412, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2730 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003836", "normalized_example_id": "ex_003836", "source_idx": 3836, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3412, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 3412 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003836", "normalized_example_id": "ex_003836", "source_idx": 3836, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3412, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2021", "budget": 2808 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003837", "normalized_example_id": "ex_003837", "source_idx": 3837, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4680, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2021", "budget": 3744 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003837", "normalized_example_id": "ex_003837", "source_idx": 3837, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4680, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2021", "budget": 4680 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003837", "normalized_example_id": "ex_003837", "source_idx": 3837, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4680, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3587 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003838", "normalized_example_id": "ex_003838", "source_idx": 3838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003838", "normalized_example_id": "ex_003838", "source_idx": 3838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003838", "normalized_example_id": "ex_003838", "source_idx": 3838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{2} abc", "budget": 2924 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003839", "normalized_example_id": "ex_003839", "source_idx": 3839, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4874, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{2} abc", "budget": 3899 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003839", "normalized_example_id": "ex_003839", "source_idx": 3839, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4874, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{2} abc", "budget": 4874 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003839", "normalized_example_id": "ex_003839", "source_idx": 3839, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4874, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,7,9,21,63", "budget": 5378 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003841", "normalized_example_id": "ex_003841", "source_idx": 3841, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8963, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,7,9,21,63", "budget": 7170 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003841", "normalized_example_id": "ex_003841", "source_idx": 3841, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8963, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,7,9,21,63", "budget": 8963 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003841", "normalized_example_id": "ex_003841", "source_idx": 3841, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8963, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15,75", "budget": 3169 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003842", "normalized_example_id": "ex_003842", "source_idx": 3842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5281, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15,75", "budget": 4225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003842", "normalized_example_id": "ex_003842", "source_idx": 3842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5281, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15,75", "budget": 5281 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003842", "normalized_example_id": "ex_003842", "source_idx": 3842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5281, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 4136 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003843", "normalized_example_id": "ex_003843", "source_idx": 3843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 5514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003843", "normalized_example_id": "ex_003843", "source_idx": 3843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 6893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003843", "normalized_example_id": "ex_003843", "source_idx": 3843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 4029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003844", "normalized_example_id": "ex_003844", "source_idx": 3844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6715, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 5372 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003844", "normalized_example_id": "ex_003844", "source_idx": 3844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6715, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 6715 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003844", "normalized_example_id": "ex_003844", "source_idx": 3844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6715, ...