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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": "3\\sqrt{13}", "budget": 4828 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001448", "normalized_example_id": "ex_001448", "source_idx": 1448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4828, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(7,3),(11,3)", "budget": 5328 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001449", "normalized_example_id": "ex_001449", "source_idx": 1449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8880, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(7,3),(11,3)", "budget": 7104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001449", "normalized_example_id": "ex_001449", "source_idx": 1449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8880, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(7,3),(11,3)", "budget": 8880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001449", "normalized_example_id": "ex_001449", "source_idx": 1449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8880, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1791 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001453", "normalized_example_id": "ex_001453", "source_idx": 1453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2985, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2388 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001453", "normalized_example_id": "ex_001453", "source_idx": 1453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2985, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2985 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001453", "normalized_example_id": "ex_001453", "source_idx": 1453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2985, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1553 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001455", "normalized_example_id": "ex_001455", "source_idx": 1455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2588, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001455", "normalized_example_id": "ex_001455", "source_idx": 1455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2588, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2588 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001455", "normalized_example_id": "ex_001455", "source_idx": 1455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2588, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 1738 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001456", "normalized_example_id": "ex_001456", "source_idx": 1456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2896, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 2317 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001456", "normalized_example_id": "ex_001456", "source_idx": 1456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2896, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 2896 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001456", "normalized_example_id": "ex_001456", "source_idx": 1456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2896, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\cdot (8!)^3", "budget": 4153 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001457", "normalized_example_id": "ex_001457", "source_idx": 1457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6921, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\cdot (8!)^3", "budget": 5537 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001457", "normalized_example_id": "ex_001457", "source_idx": 1457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6921, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\cdot (8!)^3", "budget": 6921 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001457", "normalized_example_id": "ex_001457", "source_idx": 1457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6921, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 1229 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001458", "normalized_example_id": "ex_001458", "source_idx": 1458, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2049, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 1639 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001458", "normalized_example_id": "ex_001458", "source_idx": 1458, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2049, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 2049 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001458", "normalized_example_id": "ex_001458", "source_idx": 1458, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2049, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90335", "budget": 2856 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001460", "normalized_example_id": "ex_001460", "source_idx": 1460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4760, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90335", "budget": 3808 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001460", "normalized_example_id": "ex_001460", "source_idx": 1460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4760, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90335", "budget": 4760 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001460", "normalized_example_id": "ex_001460", "source_idx": 1460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4760, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3010 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001461", "normalized_example_id": "ex_001461", "source_idx": 1461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5017, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4014 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001461", "normalized_example_id": "ex_001461", "source_idx": 1461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5017, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5017 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001461", "normalized_example_id": "ex_001461", "source_idx": 1461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5017, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 2248 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001464", "normalized_example_id": "ex_001464", "source_idx": 1464, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3747, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 2998 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001464", "normalized_example_id": "ex_001464", "source_idx": 1464, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3747, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 3747 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001464", "normalized_example_id": "ex_001464", "source_idx": 1464, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3747, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 1054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001466", "normalized_example_id": "ex_001466", "source_idx": 1466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1756, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 1405 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001466", "normalized_example_id": "ex_001466", "source_idx": 1466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1756, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 1756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001466", "normalized_example_id": "ex_001466", "source_idx": 1466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1756, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,3]", "budget": 1247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001467", "normalized_example_id": "ex_001467", "source_idx": 1467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,3]", "budget": 1662 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001467", "normalized_example_id": "ex_001467", "source_idx": 1467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,3]", "budget": 2078 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001467", "normalized_example_id": "ex_001467", "source_idx": 1467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12200", "budget": 5691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001470", "normalized_example_id": "ex_001470", "source_idx": 1470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9485, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12200", "budget": 7588 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001470", "normalized_example_id": "ex_001470", "source_idx": 1470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9485, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12200", "budget": 9485 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001470", "normalized_example_id": "ex_001470", "source_idx": 1470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9485, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3003", "budget": 4578 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001471", "normalized_example_id": "ex_001471", "source_idx": 1471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7630, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3003", "budget": 6104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001471", "normalized_example_id": "ex_001471", "source_idx": 1471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7630, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3003", "budget": 7630 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001471", "normalized_example_id": "ex_001471", "source_idx": 1471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7630, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "404", "budget": 5188 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001472", "normalized_example_id": "ex_001472", "source_idx": 1472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "404", "budget": 6918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001472", "normalized_example_id": "ex_001472", "source_idx": 1472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "404", "budget": 8647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001472", "normalized_example_id": "ex_001472", "source_idx": 1472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.9987", "budget": 1007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001473", "normalized_example_id": "ex_001473", "source_idx": 1473, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1679, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.9987", "budget": 1343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001473", "normalized_example_id": "ex_001473", "source_idx": 1473, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1679, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.9987", "budget": 1679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001473", "normalized_example_id": "ex_001473", "source_idx": 1473, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1679, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9576843210", "budget": 3194 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001475", "normalized_example_id": "ex_001475", "source_idx": 1475, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5324, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9576843210", "budget": 4259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001475", "normalized_example_id": "ex_001475", "source_idx": 1475, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5324, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9576843210", "budget": 5324 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001475", "normalized_example_id": "ex_001475", "source_idx": 1475, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5324, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 904 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001476", "normalized_example_id": "ex_001476", "source_idx": 1476, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001476", "normalized_example_id": "ex_001476", "source_idx": 1476, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001476", "normalized_example_id": "ex_001476", "source_idx": 1476, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1506, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2772 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001477", "normalized_example_id": "ex_001477", "source_idx": 1477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4620, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 3696 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001477", "normalized_example_id": "ex_001477", "source_idx": 1477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4620, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 4620 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001477", "normalized_example_id": "ex_001477", "source_idx": 1477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4620, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001479", "normalized_example_id": "ex_001479", "source_idx": 1479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4206, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001479", "normalized_example_id": "ex_001479", "source_idx": 1479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4206, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4206 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001479", "normalized_example_id": "ex_001479", "source_idx": 1479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4206, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sin \\angle PBO = \\frac{1}{6}", "budget": 3708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001481", "normalized_example_id": "ex_001481", "source_idx": 1481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6180, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sin \\angle PBO = \\frac{1}{6}", "budget": 4944 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001481", "normalized_example_id": "ex_001481", "source_idx": 1481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6180, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sin \\angle PBO = \\frac{1}{6}", "budget": 6180 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001481", "normalized_example_id": "ex_001481", "source_idx": 1481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6180, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{22}{23}", "budget": 4281 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001482", "normalized_example_id": "ex_001482", "source_idx": 1482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{22}{23}", "budget": 5708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001482", "normalized_example_id": "ex_001482", "source_idx": 1482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{22}{23}", "budget": 7135 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001482", "normalized_example_id": "ex_001482", "source_idx": 1482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 2599 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001483", "normalized_example_id": "ex_001483", "source_idx": 1483, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4332, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 3466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001483", "normalized_example_id": "ex_001483", "source_idx": 1483, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4332, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 4332 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001483", "normalized_example_id": "ex_001483", "source_idx": 1483, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4332, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3};\\frac{2}{3}", "budget": 1660 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001484", "normalized_example_id": "ex_001484", "source_idx": 1484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2767, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3};\\frac{2}{3}", "budget": 2214 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001484", "normalized_example_id": "ex_001484", "source_idx": 1484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2767, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3};\\frac{2}{3}", "budget": 2767 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001484", "normalized_example_id": "ex_001484", "source_idx": 1484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2767, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{1}{4}(x+1)^{2}", "budget": 1992 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001485", "normalized_example_id": "ex_001485", "source_idx": 1485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3320, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{1}{4}(x+1)^{2}", "budget": 2656 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001485", "normalized_example_id": "ex_001485", "source_idx": 1485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3320, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{1}{4}(x+1)^{2}", "budget": 3320 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001485", "normalized_example_id": "ex_001485", "source_idx": 1485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3320, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{3}-p^{2}", "budget": 1030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001487", "normalized_example_id": "ex_001487", "source_idx": 1487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{3}-p^{2}", "budget": 1374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001487", "normalized_example_id": "ex_001487", "source_idx": 1487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{3}-p^{2}", "budget": 1717 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001487", "normalized_example_id": "ex_001487", "source_idx": 1487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x,y,z)=(4,2,5)", "budget": 2409 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001488", "normalized_example_id": "ex_001488", "source_idx": 1488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4015, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x,y,z)=(4,2,5)", "budget": 3212 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001488", "normalized_example_id": "ex_001488", "source_idx": 1488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4015, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(x,y,z)=(4,2,5)", "budget": 4015 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001488", "normalized_example_id": "ex_001488", "source_idx": 1488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4015, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^2=\\frac{4}{5}", "budget": 1684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001489", "normalized_example_id": "ex_001489", "source_idx": 1489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^2=\\frac{4}{5}", "budget": 2245 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001489", "normalized_example_id": "ex_001489", "source_idx": 1489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^2=\\frac{4}{5}", "budget": 2806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001489", "normalized_example_id": "ex_001489", "source_idx": 1489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "OM=\\sqrt{2r^2-0.25m^2}", "budget": 4221 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001491", "normalized_example_id": "ex_001491", "source_idx": 1491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "OM=\\sqrt{2r^2-0.25m^2}", "budget": 5628 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001491", "normalized_example_id": "ex_001491", "source_idx": 1491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "OM=\\sqrt{2r^2-0.25m^2}", "budget": 7035 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001491", "normalized_example_id": "ex_001491", "source_idx": 1491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,2),(0,-2),(4,23),(4,-23)", "budget": 5877 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001496", "normalized_example_id": "ex_001496", "source_idx": 1496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9795, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,2),(0,-2),(4,23),(4,-23)", "budget": 7836 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001496", "normalized_example_id": "ex_001496", "source_idx": 1496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9795, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,2),(0,-2),(4,23),(4,-23)", "budget": 9795 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001496", "normalized_example_id": "ex_001496", "source_idx": 1496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9795, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 1574 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001499", "normalized_example_id": "ex_001499", "source_idx": 1499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2623, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 2098 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001499", "normalized_example_id": "ex_001499", "source_idx": 1499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2623, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 2623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001499", "normalized_example_id": "ex_001499", "source_idx": 1499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2623, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, n) = (0, 1) \\quad \\text{and} \\quad (-6, 7)", "budget": 4563 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001502", "normalized_example_id": "ex_001502", "source_idx": 1502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, n) = (0, 1) \\quad \\text{and} \\quad (-6, 7)", "budget": 6084 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001502", "normalized_example_id": "ex_001502", "source_idx": 1502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, n) = (0, 1) \\quad \\text{and} \\quad (-6, 7)", "budget": 7605 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001502", "normalized_example_id": "ex_001502", "source_idx": 1502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "502", "budget": 978 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001503", "normalized_example_id": "ex_001503", "source_idx": 1503, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1630, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "502", "budget": 1304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001503", "normalized_example_id": "ex_001503", "source_idx": 1503, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1630, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "502", "budget": 1630 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001503", "normalized_example_id": "ex_001503", "source_idx": 1503, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1630, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24168", "budget": 4286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001504", "normalized_example_id": "ex_001504", "source_idx": 1504, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7144, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24168", "budget": 5715 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001504", "normalized_example_id": "ex_001504", "source_idx": 1504, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7144, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24168", "budget": 7144 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001504", "normalized_example_id": "ex_001504", "source_idx": 1504, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7144, ...