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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": "7", "budget": 2920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004659", "normalized_example_id": "ex_004659", "source_idx": 4659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004659", "normalized_example_id": "ex_004659", "source_idx": 4659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004659", "normalized_example_id": "ex_004659", "source_idx": 4659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4866, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004660", "normalized_example_id": "ex_004660", "source_idx": 4660, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4173, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004660", "normalized_example_id": "ex_004660", "source_idx": 4660, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4173, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4173 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004660", "normalized_example_id": "ex_004660", "source_idx": 4660, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4173, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 = \\frac{3x^2}{4}", "budget": 5646 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004667", "normalized_example_id": "ex_004667", "source_idx": 4667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9410, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 = \\frac{3x^2}{4}", "budget": 7528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004667", "normalized_example_id": "ex_004667", "source_idx": 4667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9410, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 = \\frac{3x^2}{4}", "budget": 9410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004667", "normalized_example_id": "ex_004667", "source_idx": 4667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9410, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 2418 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004669", "normalized_example_id": "ex_004669", "source_idx": 4669, "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": "3", "budget": 3224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004669", "normalized_example_id": "ex_004669", "source_idx": 4669, "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": "3", "budget": 4030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004669", "normalized_example_id": "ex_004669", "source_idx": 4669, "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": "35,52", "budget": 4467 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004670", "normalized_example_id": "ex_004670", "source_idx": 4670, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35,52", "budget": 5956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004670", "normalized_example_id": "ex_004670", "source_idx": 4670, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35,52", "budget": 7445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004670", "normalized_example_id": "ex_004670", "source_idx": 4670, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7,14,21,28,35", "budget": 1192 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004672", "normalized_example_id": "ex_004672", "source_idx": 4672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7,14,21,28,35", "budget": 1589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004672", "normalized_example_id": "ex_004672", "source_idx": 4672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7,14,21,28,35", "budget": 1986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004672", "normalized_example_id": "ex_004672", "source_idx": 4672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 1732 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004674", "normalized_example_id": "ex_004674", "source_idx": 4674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2886, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 2309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004674", "normalized_example_id": "ex_004674", "source_idx": 4674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2886, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 2886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004674", "normalized_example_id": "ex_004674", "source_idx": 4674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2886, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "216", "budget": 758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004675", "normalized_example_id": "ex_004675", "source_idx": 4675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1264, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "216", "budget": 1011 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004675", "normalized_example_id": "ex_004675", "source_idx": 4675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1264, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "216", "budget": 1264 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004675", "normalized_example_id": "ex_004675", "source_idx": 4675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1264, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "666", "budget": 3181 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004677", "normalized_example_id": "ex_004677", "source_idx": 4677, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5302, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "666", "budget": 4242 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004677", "normalized_example_id": "ex_004677", "source_idx": 4677, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5302, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "666", "budget": 5302 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004677", "normalized_example_id": "ex_004677", "source_idx": 4677, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5302, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "414\\cdot9!", "budget": 3995 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004680", "normalized_example_id": "ex_004680", "source_idx": 4680, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "414\\cdot9!", "budget": 5326 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004680", "normalized_example_id": "ex_004680", "source_idx": 4680, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "414\\cdot9!", "budget": 6658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004680", "normalized_example_id": "ex_004680", "source_idx": 4680, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{a b c}{\\sqrt{a^{2} b^{2}+b^{2} c^{2}+a^{2} c^{2}}}", "budget": 3322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004682", "normalized_example_id": "ex_004682", "source_idx": 4682, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5537, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{a b c}{\\sqrt{a^{2} b^{2}+b^{2} c^{2}+a^{2} c^{2}}}", "budget": 4430 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004682", "normalized_example_id": "ex_004682", "source_idx": 4682, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5537, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{a b c}{\\sqrt{a^{2} b^{2}+b^{2} c^{2}+a^{2} c^{2}}}", "budget": 5537 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004682", "normalized_example_id": "ex_004682", "source_idx": 4682, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5537, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=0 \\text{ or } f(x)=x^2", "budget": 3502 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004683", "normalized_example_id": "ex_004683", "source_idx": 4683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5837, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=0 \\text{ or } f(x)=x^2", "budget": 4670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004683", "normalized_example_id": "ex_004683", "source_idx": 4683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5837, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=0 \\text{ or } f(x)=x^2", "budget": 5837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004683", "normalized_example_id": "ex_004683", "source_idx": 4683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5837, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{1}{5}", "budget": 2809 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004684", "normalized_example_id": "ex_004684", "source_idx": 4684, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{1}{5}", "budget": 3746 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004684", "normalized_example_id": "ex_004684", "source_idx": 4684, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{1}{5}", "budget": 4682 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004684", "normalized_example_id": "ex_004684", "source_idx": 4684, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 4328 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004685", "normalized_example_id": "ex_004685", "source_idx": 4685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7213, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 5770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004685", "normalized_example_id": "ex_004685", "source_idx": 4685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7213, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 7213 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004685", "normalized_example_id": "ex_004685", "source_idx": 4685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7213, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}-2", "budget": 1805 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004687", "normalized_example_id": "ex_004687", "source_idx": 4687, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3009, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}-2", "budget": 2407 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004687", "normalized_example_id": "ex_004687", "source_idx": 4687, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3009, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}-2", "budget": 3009 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004687", "normalized_example_id": "ex_004687", "source_idx": 4687, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3009, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36,6,12,33", "budget": 1432 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004688", "normalized_example_id": "ex_004688", "source_idx": 4688, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2387, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36,6,12,33", "budget": 1910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004688", "normalized_example_id": "ex_004688", "source_idx": 4688, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2387, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36,6,12,33", "budget": 2387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004688", "normalized_example_id": "ex_004688", "source_idx": 4688, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2387, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 4243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004692", "normalized_example_id": "ex_004692", "source_idx": 4692, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7071, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 5657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004692", "normalized_example_id": "ex_004692", "source_idx": 4692, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7071, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 7071 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004692", "normalized_example_id": "ex_004692", "source_idx": 4692, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7071, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1159 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004695", "normalized_example_id": "ex_004695", "source_idx": 4695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1932, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1546 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004695", "normalized_example_id": "ex_004695", "source_idx": 4695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1932, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1932 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004695", "normalized_example_id": "ex_004695", "source_idx": 4695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1932, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 3638 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004698", "normalized_example_id": "ex_004698", "source_idx": 4698, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6064, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 4851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004698", "normalized_example_id": "ex_004698", "source_idx": 4698, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6064, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 6064 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004698", "normalized_example_id": "ex_004698", "source_idx": 4698, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6064, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{s_1}{9}", "budget": 3956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004701", "normalized_example_id": "ex_004701", "source_idx": 4701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6594, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{s_1}{9}", "budget": 5275 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004701", "normalized_example_id": "ex_004701", "source_idx": 4701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6594, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{s_1}{9}", "budget": 6594 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004701", "normalized_example_id": "ex_004701", "source_idx": 4701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6594, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1;1;1)", "budget": 2151 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004702", "normalized_example_id": "ex_004702", "source_idx": 4702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1;1;1)", "budget": 2868 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004702", "normalized_example_id": "ex_004702", "source_idx": 4702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1;1;1)", "budget": 3585 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004702", "normalized_example_id": "ex_004702", "source_idx": 4702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arcsin\\frac{4}{5}", "budget": 3317 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004704", "normalized_example_id": "ex_004704", "source_idx": 4704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5529, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arcsin\\frac{4}{5}", "budget": 4423 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004704", "normalized_example_id": "ex_004704", "source_idx": 4704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5529, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arcsin\\frac{4}{5}", "budget": 5529 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004704", "normalized_example_id": "ex_004704", "source_idx": 4704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5529, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156,37", "budget": 4793 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004708", "normalized_example_id": "ex_004708", "source_idx": 4708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156,37", "budget": 6391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004708", "normalized_example_id": "ex_004708", "source_idx": 4708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "156,37", "budget": 7989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004708", "normalized_example_id": "ex_004708", "source_idx": 4708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "788", "budget": 2996 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004710", "normalized_example_id": "ex_004710", "source_idx": 4710, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "788", "budget": 3995 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004710", "normalized_example_id": "ex_004710", "source_idx": 4710, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "788", "budget": 4994 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004710", "normalized_example_id": "ex_004710", "source_idx": 4710, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 1914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004716", "normalized_example_id": "ex_004716", "source_idx": 4716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 2552 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004716", "normalized_example_id": "ex_004716", "source_idx": 4716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 3190 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004716", "normalized_example_id": "ex_004716", "source_idx": 4716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3190, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,2,1)", "budget": 5240 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004720", "normalized_example_id": "ex_004720", "source_idx": 4720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8733, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,2,1)", "budget": 6986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004720", "normalized_example_id": "ex_004720", "source_idx": 4720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8733, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,2,1)", "budget": 8733 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004720", "normalized_example_id": "ex_004720", "source_idx": 4720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8733, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "m=1", "budget": 4741 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004722", "normalized_example_id": "ex_004722", "source_idx": 4722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7902, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "m=1", "budget": 6322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004722", "normalized_example_id": "ex_004722", "source_idx": 4722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7902, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "m=1", "budget": 7902 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004722", "normalized_example_id": "ex_004722", "source_idx": 4722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7902, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+1", "budget": 4419 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004724", "normalized_example_id": "ex_004724", "source_idx": 4724, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+1", "budget": 5892 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004724", "normalized_example_id": "ex_004724", "source_idx": 4724, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+1", "budget": 7365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004724", "normalized_example_id": "ex_004724", "source_idx": 4724, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "580", "budget": 2533 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004725", "normalized_example_id": "ex_004725", "source_idx": 4725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4222, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "580", "budget": 3378 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004725", "normalized_example_id": "ex_004725", "source_idx": 4725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4222, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "580", "budget": 4222 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004725", "normalized_example_id": "ex_004725", "source_idx": 4725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4222, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}}{2}", "budget": 3364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004727", "normalized_example_id": "ex_004727", "source_idx": 4727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5606, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}}{2}", "budget": 4485 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004727", "normalized_example_id": "ex_004727", "source_idx": 4727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5606, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}}{2}", "budget": 5606 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004727", "normalized_example_id": "ex_004727", "source_idx": 4727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5606, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 1208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004729", "normalized_example_id": "ex_004729", "source_idx": 4729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 1610 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004729", "normalized_example_id": "ex_004729", "source_idx": 4729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 2013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004729", "normalized_example_id": "ex_004729", "source_idx": 4729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{5}", "budget": 2037 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004731", "normalized_example_id": "ex_004731", "source_idx": 4731, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3395, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{5}", "budget": 2716 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004731", "normalized_example_id": "ex_004731", "source_idx": 4731, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3395, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{5}", "budget": 3395 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004731", "normalized_example_id": "ex_004731", "source_idx": 4731, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3395, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha = -3", "budget": 4219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004733", "normalized_example_id": "ex_004733", "source_idx": 4733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha = -3", "budget": 5625 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004733", "normalized_example_id": "ex_004733", "source_idx": 4733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha = -3", "budget": 7031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004733", "normalized_example_id": "ex_004733", "source_idx": 4733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "100", "budget": 1055 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004734", "normalized_example_id": "ex_004734", "source_idx": 4734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1759, ...