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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": "C", "budget": 3559 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002635", "normalized_example_id": "ex_002635", "source_idx": 2635, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 4745 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002635", "normalized_example_id": "ex_002635", "source_idx": 2635, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 5931 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002635", "normalized_example_id": "ex_002635", "source_idx": 2635, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002636", "normalized_example_id": "ex_002636", "source_idx": 2636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6523, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002636", "normalized_example_id": "ex_002636", "source_idx": 2636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6523, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002636", "normalized_example_id": "ex_002636", "source_idx": 2636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6523, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 3161 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002637", "normalized_example_id": "ex_002637", "source_idx": 2637, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 4215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002637", "normalized_example_id": "ex_002637", "source_idx": 2637, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 5269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002637", "normalized_example_id": "ex_002637", "source_idx": 2637, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "144", "budget": 5264 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002638", "normalized_example_id": "ex_002638", "source_idx": 2638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8774, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "144", "budget": 7019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002638", "normalized_example_id": "ex_002638", "source_idx": 2638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8774, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "144", "budget": 8774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002638", "normalized_example_id": "ex_002638", "source_idx": 2638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8774, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(12,13,57)", "budget": 4352 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002640", "normalized_example_id": "ex_002640", "source_idx": 2640, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7254, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(12,13,57)", "budget": 5803 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002640", "normalized_example_id": "ex_002640", "source_idx": 2640, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7254, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(12,13,57)", "budget": 7254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002640", "normalized_example_id": "ex_002640", "source_idx": 2640, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7254, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "937", "budget": 1311 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002643", "normalized_example_id": "ex_002643", "source_idx": 2643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2185, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "937", "budget": 1748 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002643", "normalized_example_id": "ex_002643", "source_idx": 2643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2185, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "937", "budget": 2185 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002643", "normalized_example_id": "ex_002643", "source_idx": 2643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2185, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{27}{2}", "budget": 1435 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002646", "normalized_example_id": "ex_002646", "source_idx": 2646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{27}{2}", "budget": 1913 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002646", "normalized_example_id": "ex_002646", "source_idx": 2646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{27}{2}", "budget": 2391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002646", "normalized_example_id": "ex_002646", "source_idx": 2646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 4158 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002649", "normalized_example_id": "ex_002649", "source_idx": 2649, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 5544 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002649", "normalized_example_id": "ex_002649", "source_idx": 2649, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 6930 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002649", "normalized_example_id": "ex_002649", "source_idx": 2649, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 1517 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002651", "normalized_example_id": "ex_002651", "source_idx": 2651, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002651", "normalized_example_id": "ex_002651", "source_idx": 2651, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002651", "normalized_example_id": "ex_002651", "source_idx": 2651, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{2} \\times 3^{668}", "budget": 1820 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002653", "normalized_example_id": "ex_002653", "source_idx": 2653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{2} \\times 3^{668}", "budget": 2427 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002653", "normalized_example_id": "ex_002653", "source_idx": 2653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{2} \\times 3^{668}", "budget": 3034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002653", "normalized_example_id": "ex_002653", "source_idx": 2653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16,1312,3112", "budget": 4200 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002655", "normalized_example_id": "ex_002655", "source_idx": 2655, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7000, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16,1312,3112", "budget": 5600 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002655", "normalized_example_id": "ex_002655", "source_idx": 2655, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7000, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16,1312,3112", "budget": 7000 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002655", "normalized_example_id": "ex_002655", "source_idx": 2655, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7000, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{3}{2}", "budget": 1140 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002659", "normalized_example_id": "ex_002659", "source_idx": 2659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{3}{2}", "budget": 1520 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002659", "normalized_example_id": "ex_002659", "source_idx": 2659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{3}{2}", "budget": 1900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002659", "normalized_example_id": "ex_002659", "source_idx": 2659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 620 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002663", "normalized_example_id": "ex_002663", "source_idx": 2663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 827 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002663", "normalized_example_id": "ex_002663", "source_idx": 2663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002663", "normalized_example_id": "ex_002663", "source_idx": 2663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "175", "budget": 3675 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002664", "normalized_example_id": "ex_002664", "source_idx": 2664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "175", "budget": 4900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002664", "normalized_example_id": "ex_002664", "source_idx": 2664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "175", "budget": 6125 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002664", "normalized_example_id": "ex_002664", "source_idx": 2664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6125, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 4691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002665", "normalized_example_id": "ex_002665", "source_idx": 2665, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 6254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002665", "normalized_example_id": "ex_002665", "source_idx": 2665, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 7818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002665", "normalized_example_id": "ex_002665", "source_idx": 2665, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7818, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 4k - 1", "budget": 2292 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002667", "normalized_example_id": "ex_002667", "source_idx": 2667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3820, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 4k - 1", "budget": 3056 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002667", "normalized_example_id": "ex_002667", "source_idx": 2667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3820, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 4k - 1", "budget": 3820 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002667", "normalized_example_id": "ex_002667", "source_idx": 2667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3820, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "486", "budget": 4694 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002668", "normalized_example_id": "ex_002668", "source_idx": 2668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "486", "budget": 6259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002668", "normalized_example_id": "ex_002668", "source_idx": 2668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "486", "budget": 7824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002668", "normalized_example_id": "ex_002668", "source_idx": 2668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{8}", "budget": 2482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002669", "normalized_example_id": "ex_002669", "source_idx": 2669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4136, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{8}", "budget": 3309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002669", "normalized_example_id": "ex_002669", "source_idx": 2669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4136, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{8}", "budget": 4136 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002669", "normalized_example_id": "ex_002669", "source_idx": 2669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4136, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-3,0,1,3", "budget": 2171 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002670", "normalized_example_id": "ex_002670", "source_idx": 2670, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3619, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-3,0,1,3", "budget": 2895 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002670", "normalized_example_id": "ex_002670", "source_idx": 2670, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3619, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-3,0,1,3", "budget": 3619 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002670", "normalized_example_id": "ex_002670", "source_idx": 2670, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3619, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=3, b=-1", "budget": 4282 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002672", "normalized_example_id": "ex_002672", "source_idx": 2672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7136, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=3, b=-1", "budget": 5709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002672", "normalized_example_id": "ex_002672", "source_idx": 2672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7136, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=3, b=-1", "budget": 7136 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002672", "normalized_example_id": "ex_002672", "source_idx": 2672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7136, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,3,0)", "budget": 4915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002673", "normalized_example_id": "ex_002673", "source_idx": 2673, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,3,0)", "budget": 6553 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002673", "normalized_example_id": "ex_002673", "source_idx": 2673, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3,3,0)", "budget": 8191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002673", "normalized_example_id": "ex_002673", "source_idx": 2673, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{3}", "budget": 1606 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002676", "normalized_example_id": "ex_002676", "source_idx": 2676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{3}", "budget": 2141 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002676", "normalized_example_id": "ex_002676", "source_idx": 2676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}{3}", "budget": 2676 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002676", "normalized_example_id": "ex_002676", "source_idx": 2676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002679", "normalized_example_id": "ex_002679", "source_idx": 2679, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5574, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 4459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002679", "normalized_example_id": "ex_002679", "source_idx": 2679, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5574, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 5574 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002679", "normalized_example_id": "ex_002679", "source_idx": 2679, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5574, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "s = 4", "budget": 2387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002680", "normalized_example_id": "ex_002680", "source_idx": 2680, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "s = 4", "budget": 3183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002680", "normalized_example_id": "ex_002680", "source_idx": 2680, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "s = 4", "budget": 3979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002680", "normalized_example_id": "ex_002680", "source_idx": 2680, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1985", "budget": 1936 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002682", "normalized_example_id": "ex_002682", "source_idx": 2682, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3227, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1985", "budget": 2582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002682", "normalized_example_id": "ex_002682", "source_idx": 2682, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3227, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1985", "budget": 3227 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002682", "normalized_example_id": "ex_002682", "source_idx": 2682, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3227, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1336", "budget": 1165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002683", "normalized_example_id": "ex_002683", "source_idx": 2683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1336", "budget": 1554 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002683", "normalized_example_id": "ex_002683", "source_idx": 2683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1336", "budget": 1942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002683", "normalized_example_id": "ex_002683", "source_idx": 2683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "500", "budget": 3172 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002686", "normalized_example_id": "ex_002686", "source_idx": 2686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5287, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "500", "budget": 4230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002686", "normalized_example_id": "ex_002686", "source_idx": 2686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5287, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "500", "budget": 5287 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002686", "normalized_example_id": "ex_002686", "source_idx": 2686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5287, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "312", "budget": 4915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002688", "normalized_example_id": "ex_002688", "source_idx": 2688, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8192, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "312", "budget": 6554 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002688", "normalized_example_id": "ex_002688", "source_idx": 2688, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8192, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "312", "budget": 8192 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002688", "normalized_example_id": "ex_002688", "source_idx": 2688, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8192, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "KN=R", "budget": 5069 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002693", "normalized_example_id": "ex_002693", "source_idx": 2693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8449, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "KN=R", "budget": 6759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002693", "normalized_example_id": "ex_002693", "source_idx": 2693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8449, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "KN=R", "budget": 8449 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002693", "normalized_example_id": "ex_002693", "source_idx": 2693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8449, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(t, t, 4t), (2t, t, 6t), (t, 2t, 6t)", "budget": 3540 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002694", "normalized_example_id": "ex_002694", "source_idx": 2694, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(t, t, 4t), (2t, t, 6t), (t, 2t, 6t)", "budget": 4720 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002694", "normalized_example_id": "ex_002694", "source_idx": 2694, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(t, t, 4t), (2t, t, 6t), (t, 2t, 6t)", "budget": 5900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002694", "normalized_example_id": "ex_002694", "source_idx": 2694, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5900, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1999,2000,2001", "budget": 2146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002695", "normalized_example_id": "ex_002695", "source_idx": 2695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3577, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1999,2000,2001", "budget": 2862 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002695", "normalized_example_id": "ex_002695", "source_idx": 2695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3577, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1999,2000,2001", "budget": 3577 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002695", "normalized_example_id": "ex_002695", "source_idx": 2695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3577, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 3119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002698", "normalized_example_id": "ex_002698", "source_idx": 2698, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5198, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 4158 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002698", "normalized_example_id": "ex_002698", "source_idx": 2698, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5198, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 5198 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002698", "normalized_example_id": "ex_002698", "source_idx": 2698, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5198, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 1552 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002699", "normalized_example_id": "ex_002699", "source_idx": 2699, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2587, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002699", "normalized_example_id": "ex_002699", "source_idx": 2699, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2587, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2587 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002699", "normalized_example_id": "ex_002699", "source_idx": 2699, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2587, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e", "budget": 2137 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002702", "normalized_example_id": "ex_002702", "source_idx": 2702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3562, ...