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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": "\\{0,3,4,5,8\\}", "budget": 5711 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006985", "normalized_example_id": "ex_006985", "source_idx": 6985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9518, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\{0,3,4,5,8\\}", "budget": 7614 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006985", "normalized_example_id": "ex_006985", "source_idx": 6985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9518, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\{0,3,4,5,8\\}", "budget": 9518 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006985", "normalized_example_id": "ex_006985", "source_idx": 6985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9518, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2021}>5^{864}", "budget": 2053 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006987", "normalized_example_id": "ex_006987", "source_idx": 6987, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3421, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2021}>5^{864}", "budget": 2737 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006987", "normalized_example_id": "ex_006987", "source_idx": 6987, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3421, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2021}>5^{864}", "budget": 3421 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006987", "normalized_example_id": "ex_006987", "source_idx": 6987, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3421, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5452 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006992", "normalized_example_id": "ex_006992", "source_idx": 6992, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9086, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006992", "normalized_example_id": "ex_006992", "source_idx": 6992, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9086, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9086 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006992", "normalized_example_id": "ex_006992", "source_idx": 6992, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9086, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "640", "budget": 2411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006993", "normalized_example_id": "ex_006993", "source_idx": 6993, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "640", "budget": 3215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006993", "normalized_example_id": "ex_006993", "source_idx": 6993, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "640", "budget": 4019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006993", "normalized_example_id": "ex_006993", "source_idx": 6993, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 4159 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006994", "normalized_example_id": "ex_006994", "source_idx": 6994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 5545 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006994", "normalized_example_id": "ex_006994", "source_idx": 6994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 6931 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006994", "normalized_example_id": "ex_006994", "source_idx": 6994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}R^{2}", "budget": 4736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006996", "normalized_example_id": "ex_006996", "source_idx": 6996, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}R^{2}", "budget": 6314 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006996", "normalized_example_id": "ex_006996", "source_idx": 6996, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}R^{2}", "budget": 7893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006996", "normalized_example_id": "ex_006996", "source_idx": 6996, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006997", "normalized_example_id": "ex_006997", "source_idx": 6997, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8386, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 6709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006997", "normalized_example_id": "ex_006997", "source_idx": 6997, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8386, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 8386 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006997", "normalized_example_id": "ex_006997", "source_idx": 6997, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8386, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 1262 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006998", "normalized_example_id": "ex_006998", "source_idx": 6998, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 1683 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006998", "normalized_example_id": "ex_006998", "source_idx": 6998, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 2104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006998", "normalized_example_id": "ex_006998", "source_idx": 6998, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006999", "normalized_example_id": "ex_006999", "source_idx": 6999, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7144 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006999", "normalized_example_id": "ex_006999", "source_idx": 6999, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8930 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006999", "normalized_example_id": "ex_006999", "source_idx": 6999, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}\\sin2x-\\frac{1}{32}\\sin8x-\\frac{1}{16}\\sin4x+\\frac{1}{24}\\sin6x+C", "budget": 1901 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007000", "normalized_example_id": "ex_007000", "source_idx": 7000, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3168, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}\\sin2x-\\frac{1}{32}\\sin8x-\\frac{1}{16}\\sin4x+\\frac{1}{24}\\sin6x+C", "budget": 2534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007000", "normalized_example_id": "ex_007000", "source_idx": 7000, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3168, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}\\sin2x-\\frac{1}{32}\\sin8x-\\frac{1}{16}\\sin4x+\\frac{1}{24}\\sin6x+C", "budget": 3168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007000", "normalized_example_id": "ex_007000", "source_idx": 7000, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3168, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 1982 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007003", "normalized_example_id": "ex_007003", "source_idx": 7003, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3303, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 2642 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007003", "normalized_example_id": "ex_007003", "source_idx": 7003, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3303, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 3303 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007003", "normalized_example_id": "ex_007003", "source_idx": 7003, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3303, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 929 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007004", "normalized_example_id": "ex_007004", "source_idx": 7004, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1549, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1239 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007004", "normalized_example_id": "ex_007004", "source_idx": 7004, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1549, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1549 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007004", "normalized_example_id": "ex_007004", "source_idx": 7004, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1549, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "648", "budget": 2222 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007006", "normalized_example_id": "ex_007006", "source_idx": 7006, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3704, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "648", "budget": 2963 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007006", "normalized_example_id": "ex_007006", "source_idx": 7006, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3704, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "648", "budget": 3704 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007006", "normalized_example_id": "ex_007006", "source_idx": 7006, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3704, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017=12+10+1995", "budget": 4874 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007008", "normalized_example_id": "ex_007008", "source_idx": 7008, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8123, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017=12+10+1995", "budget": 6498 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007008", "normalized_example_id": "ex_007008", "source_idx": 7008, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8123, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2017=12+10+1995", "budget": 8123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007008", "normalized_example_id": "ex_007008", "source_idx": 7008, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8123, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5,9,11,b=19", "budget": 3812 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007009", "normalized_example_id": "ex_007009", "source_idx": 7009, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6353, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5,9,11,b=19", "budget": 5082 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007009", "normalized_example_id": "ex_007009", "source_idx": 7009, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6353, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5,9,11,b=19", "budget": 6353 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007009", "normalized_example_id": "ex_007009", "source_idx": 7009, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6353, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "824", "budget": 2228 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007013", "normalized_example_id": "ex_007013", "source_idx": 7013, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3713, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "824", "budget": 2970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007013", "normalized_example_id": "ex_007013", "source_idx": 7013, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3713, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "824", "budget": 3713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007013", "normalized_example_id": "ex_007013", "source_idx": 7013, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3713, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 850 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007014", "normalized_example_id": "ex_007014", "source_idx": 7014, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1416, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007014", "normalized_example_id": "ex_007014", "source_idx": 7014, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1416, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1416 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007014", "normalized_example_id": "ex_007014", "source_idx": 7014, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1416, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{16}", "budget": 3988 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007016", "normalized_example_id": "ex_007016", "source_idx": 7016, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{16}", "budget": 5318 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007016", "normalized_example_id": "ex_007016", "source_idx": 7016, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{16}", "budget": 6647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007016", "normalized_example_id": "ex_007016", "source_idx": 7016, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 1346 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007017", "normalized_example_id": "ex_007017", "source_idx": 7017, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2244, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 1795 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007017", "normalized_example_id": "ex_007017", "source_idx": 7017, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2244, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "72", "budget": 2244 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007017", "normalized_example_id": "ex_007017", "source_idx": 7017, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2244, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{5}", "budget": 4796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007018", "normalized_example_id": "ex_007018", "source_idx": 7018, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{5}", "budget": 6394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007018", "normalized_example_id": "ex_007018", "source_idx": 7018, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{5}", "budget": 7993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007018", "normalized_example_id": "ex_007018", "source_idx": 7018, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "315", "budget": 694 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007019", "normalized_example_id": "ex_007019", "source_idx": 7019, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "315", "budget": 926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007019", "normalized_example_id": "ex_007019", "source_idx": 7019, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "315", "budget": 1157 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007019", "normalized_example_id": "ex_007019", "source_idx": 7019, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007020", "normalized_example_id": "ex_007020", "source_idx": 7020, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5662 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007020", "normalized_example_id": "ex_007020", "source_idx": 7020, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7078 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007020", "normalized_example_id": "ex_007020", "source_idx": 7020, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7078, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007023", "normalized_example_id": "ex_007023", "source_idx": 7023, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7025, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5620 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007023", "normalized_example_id": "ex_007023", "source_idx": 7023, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7025, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7025 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007023", "normalized_example_id": "ex_007023", "source_idx": 7023, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7025, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}+y^{2}-2x-y+1=0", "budget": 2303 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007025", "normalized_example_id": "ex_007025", "source_idx": 7025, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3838, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}+y^{2}-2x-y+1=0", "budget": 3070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007025", "normalized_example_id": "ex_007025", "source_idx": 7025, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3838, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}+y^{2}-2x-y+1=0", "budget": 3838 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007025", "normalized_example_id": "ex_007025", "source_idx": 7025, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3838, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 1174 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007027", "normalized_example_id": "ex_007027", "source_idx": 7027, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1956, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 1565 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007027", "normalized_example_id": "ex_007027", "source_idx": 7027, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1956, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 1956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007027", "normalized_example_id": "ex_007027", "source_idx": 7027, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1956, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 2068 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007028", "normalized_example_id": "ex_007028", "source_idx": 7028, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 2757 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007028", "normalized_example_id": "ex_007028", "source_idx": 7028, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 3446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007028", "normalized_example_id": "ex_007028", "source_idx": 7028, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\sqrt{2x + \\frac{2}{e^2 - 1}}", "budget": 3880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007031", "normalized_example_id": "ex_007031", "source_idx": 7031, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6467, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\sqrt{2x + \\frac{2}{e^2 - 1}}", "budget": 5174 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007031", "normalized_example_id": "ex_007031", "source_idx": 7031, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6467, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\sqrt{2x + \\frac{2}{e^2 - 1}}", "budget": 6467 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007031", "normalized_example_id": "ex_007031", "source_idx": 7031, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6467, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "257", "budget": 3323 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007032", "normalized_example_id": "ex_007032", "source_idx": 7032, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5538, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "257", "budget": 4430 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007032", "normalized_example_id": "ex_007032", "source_idx": 7032, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5538, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "257", "budget": 5538 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007032", "normalized_example_id": "ex_007032", "source_idx": 7032, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5538, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{129}", "budget": 4268 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007033", "normalized_example_id": "ex_007033", "source_idx": 7033, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7114, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{129}", "budget": 5691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007033", "normalized_example_id": "ex_007033", "source_idx": 7033, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7114, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{129}", "budget": 7114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007033", "normalized_example_id": "ex_007033", "source_idx": 7033, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7114, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 4130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007034", "normalized_example_id": "ex_007034", "source_idx": 7034, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6883, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 5506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007034", "normalized_example_id": "ex_007034", "source_idx": 7034, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6883, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 6883 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007034", "normalized_example_id": "ex_007034", "source_idx": 7034, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6883, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "240", "budget": 1625 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007035", "normalized_example_id": "ex_007035", "source_idx": 7035, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2708, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "240", "budget": 2166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007035", "normalized_example_id": "ex_007035", "source_idx": 7035, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2708, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "240", "budget": 2708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007035", "normalized_example_id": "ex_007035", "source_idx": 7035, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2708, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{6};8^{6}-13\\cdot7^{5}", "budget": 1757 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007036", "normalized_example_id": "ex_007036", "source_idx": 7036, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2929, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{6};8^{6}-13\\cdot7^{5}", "budget": 2343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007036", "normalized_example_id": "ex_007036", "source_idx": 7036, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2929, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{6};8^{6}-13\\cdot7^{5}", "budget": 2929 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007036", "normalized_example_id": "ex_007036", "source_idx": 7036, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2929, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "191", "budget": 774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007037", "normalized_example_id": "ex_007037", "source_idx": 7037, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1290, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "191", "budget": 1032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007037", "normalized_example_id": "ex_007037", "source_idx": 7037, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1290, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "191", "budget": 1290 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007037", "normalized_example_id": "ex_007037", "source_idx": 7037, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1290, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3788 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007045", "normalized_example_id": "ex_007045", "source_idx": 7045, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6314, ...