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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": "(0,5,5),(4,5,1),(6,4,9)", "budget": 7350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000897", "normalized_example_id": "ex_000897", "source_idx": 897, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7350, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 5827 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000901", "normalized_example_id": "ex_000901", "source_idx": 901, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9712, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 7770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000901", "normalized_example_id": "ex_000901", "source_idx": 901, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9712, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 9712 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000901", "normalized_example_id": "ex_000901", "source_idx": 901, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9712, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{12}{17}", "budget": 1168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000905", "normalized_example_id": "ex_000905", "source_idx": 905, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{12}{17}", "budget": 1557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000905", "normalized_example_id": "ex_000905", "source_idx": 905, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{12}{17}", "budget": 1946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000905", "normalized_example_id": "ex_000905", "source_idx": 905, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "=b==1.5", "budget": 1898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000908", "normalized_example_id": "ex_000908", "source_idx": 908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3163, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "=b==1.5", "budget": 2530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000908", "normalized_example_id": "ex_000908", "source_idx": 908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3163, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "=b==1.5", "budget": 3163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000908", "normalized_example_id": "ex_000908", "source_idx": 908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3163, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2527 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000909", "normalized_example_id": "ex_000909", "source_idx": 909, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4211, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3369 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000909", "normalized_example_id": "ex_000909", "source_idx": 909, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4211, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4211 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000909", "normalized_example_id": "ex_000909", "source_idx": 909, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4211, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b(n)=F_n", "budget": 2130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000910", "normalized_example_id": "ex_000910", "source_idx": 910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3550, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b(n)=F_n", "budget": 2840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000910", "normalized_example_id": "ex_000910", "source_idx": 910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3550, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "b(n)=F_n", "budget": 3550 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000910", "normalized_example_id": "ex_000910", "source_idx": 910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3550, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 5965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000911", "normalized_example_id": "ex_000911", "source_idx": 911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9941, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 7953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000911", "normalized_example_id": "ex_000911", "source_idx": 911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9941, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 9941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000911", "normalized_example_id": "ex_000911", "source_idx": 911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9941, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{11}^{5}", "budget": 4830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000912", "normalized_example_id": "ex_000912", "source_idx": 912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8050, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{11}^{5}", "budget": 6440 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000912", "normalized_example_id": "ex_000912", "source_idx": 912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8050, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{11}^{5}", "budget": 8050 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000912", "normalized_example_id": "ex_000912", "source_idx": 912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8050, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1178 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000913", "normalized_example_id": "ex_000913", "source_idx": 913, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1964, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1571 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000913", "normalized_example_id": "ex_000913", "source_idx": 913, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1964, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1964 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000913", "normalized_example_id": "ex_000913", "source_idx": 913, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1964, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1226 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000915", "normalized_example_id": "ex_000915", "source_idx": 915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2043, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000915", "normalized_example_id": "ex_000915", "source_idx": 915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2043, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000915", "normalized_example_id": "ex_000915", "source_idx": 915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2043, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n)=n+667", "budget": 3215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000916", "normalized_example_id": "ex_000916", "source_idx": 916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5359, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n)=n+667", "budget": 4287 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000916", "normalized_example_id": "ex_000916", "source_idx": 916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5359, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n)=n+667", "budget": 5359 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000916", "normalized_example_id": "ex_000916", "source_idx": 916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5359, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 2098 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000917", "normalized_example_id": "ex_000917", "source_idx": 917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3496, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 2797 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000917", "normalized_example_id": "ex_000917", "source_idx": 917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3496, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 3496 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000917", "normalized_example_id": "ex_000917", "source_idx": 917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3496, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1262", "budget": 1922 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000918", "normalized_example_id": "ex_000918", "source_idx": 918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3204, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1262", "budget": 2563 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000918", "normalized_example_id": "ex_000918", "source_idx": 918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3204, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1262", "budget": 3204 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000918", "normalized_example_id": "ex_000918", "source_idx": 918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3204, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 1781 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000919", "normalized_example_id": "ex_000919", "source_idx": 919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2968, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 2374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000919", "normalized_example_id": "ex_000919", "source_idx": 919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2968, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2}", "budget": 2968 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000919", "normalized_example_id": "ex_000919", "source_idx": 919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2968, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 1986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000920", "normalized_example_id": "ex_000920", "source_idx": 920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3310, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 2648 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000920", "normalized_example_id": "ex_000920", "source_idx": 920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3310, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 3310 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000920", "normalized_example_id": "ex_000920", "source_idx": 920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3310, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 934 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000921", "normalized_example_id": "ex_000921", "source_idx": 921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1557, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1246 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000921", "normalized_example_id": "ex_000921", "source_idx": 921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1557, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000921", "normalized_example_id": "ex_000921", "source_idx": 921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1557, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "999", "budget": 1146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000922", "normalized_example_id": "ex_000922", "source_idx": 922, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1910, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "999", "budget": 1528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000922", "normalized_example_id": "ex_000922", "source_idx": 922, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1910, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "999", "budget": 1910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000922", "normalized_example_id": "ex_000922", "source_idx": 922, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1910, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1861 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000925", "normalized_example_id": "ex_000925", "source_idx": 925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3102, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000925", "normalized_example_id": "ex_000925", "source_idx": 925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3102, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3102 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000925", "normalized_example_id": "ex_000925", "source_idx": 925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3102, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n^{3}+5n}{6}+1", "budget": 2141 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000926", "normalized_example_id": "ex_000926", "source_idx": 926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3568, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n^{3}+5n}{6}+1", "budget": 2854 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000926", "normalized_example_id": "ex_000926", "source_idx": 926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3568, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n^{3}+5n}{6}+1", "budget": 3568 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000926", "normalized_example_id": "ex_000926", "source_idx": 926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3568, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360", "budget": 2920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000927", "normalized_example_id": "ex_000927", "source_idx": 927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4867, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360", "budget": 3894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000927", "normalized_example_id": "ex_000927", "source_idx": 927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4867, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360", "budget": 4867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000927", "normalized_example_id": "ex_000927", "source_idx": 927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4867, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17.5", "budget": 4474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000929", "normalized_example_id": "ex_000929", "source_idx": 929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7457, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17.5", "budget": 5966 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000929", "normalized_example_id": "ex_000929", "source_idx": 929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7457, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17.5", "budget": 7457 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000929", "normalized_example_id": "ex_000929", "source_idx": 929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7457, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 3641 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000933", "normalized_example_id": "ex_000933", "source_idx": 933, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6069, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 4855 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000933", "normalized_example_id": "ex_000933", "source_idx": 933, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6069, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 6069 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000933", "normalized_example_id": "ex_000933", "source_idx": 933, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6069, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 2444 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000934", "normalized_example_id": "ex_000934", "source_idx": 934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4073, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 3258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000934", "normalized_example_id": "ex_000934", "source_idx": 934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4073, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 4073 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000934", "normalized_example_id": "ex_000934", "source_idx": 934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4073, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{2}", "budget": 5345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000936", "normalized_example_id": "ex_000936", "source_idx": 936, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8909, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{2}", "budget": 7127 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000936", "normalized_example_id": "ex_000936", "source_idx": 936, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8909, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{2}", "budget": 8909 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000936", "normalized_example_id": "ex_000936", "source_idx": 936, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8909, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "264", "budget": 1870 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000941", "normalized_example_id": "ex_000941", "source_idx": 941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3117, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "264", "budget": 2494 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000941", "normalized_example_id": "ex_000941", "source_idx": 941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3117, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "264", "budget": 3117 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000941", "normalized_example_id": "ex_000941", "source_idx": 941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3117, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 2718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000942", "normalized_example_id": "ex_000942", "source_idx": 942, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4530, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 3624 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000942", "normalized_example_id": "ex_000942", "source_idx": 942, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4530, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 4530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000942", "normalized_example_id": "ex_000942", "source_idx": 942, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4530, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 3077 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000944", "normalized_example_id": "ex_000944", "source_idx": 944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5128, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 4102 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000944", "normalized_example_id": "ex_000944", "source_idx": 944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5128, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 5128 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000944", "normalized_example_id": "ex_000944", "source_idx": 944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5128, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 995 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000946", "normalized_example_id": "ex_000946", "source_idx": 946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1658, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1326 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000946", "normalized_example_id": "ex_000946", "source_idx": 946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1658, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000946", "normalized_example_id": "ex_000946", "source_idx": 946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1658, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1241 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000947", "normalized_example_id": "ex_000947", "source_idx": 947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2068, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1654 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000947", "normalized_example_id": "ex_000947", "source_idx": 947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2068, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2068 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000947", "normalized_example_id": "ex_000947", "source_idx": 947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2068, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqx\\leq1", "budget": 2869 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000950", "normalized_example_id": "ex_000950", "source_idx": 950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4782, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqx\\leq1", "budget": 3826 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000950", "normalized_example_id": "ex_000950", "source_idx": 950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4782, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqx\\leq1", "budget": 4782 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000950", "normalized_example_id": "ex_000950", "source_idx": 950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4782, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2242 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000951", "normalized_example_id": "ex_000951", "source_idx": 951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3736, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000951", "normalized_example_id": "ex_000951", "source_idx": 951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3736, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 3736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000951", "normalized_example_id": "ex_000951", "source_idx": 951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3736, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1152", "budget": 3251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000953", "normalized_example_id": "ex_000953", "source_idx": 953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5418, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1152", "budget": 4334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000953", "normalized_example_id": "ex_000953", "source_idx": 953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5418, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1152", "budget": 5418 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000953", "normalized_example_id": "ex_000953", "source_idx": 953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5418, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n) = 0", "budget": 3650 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000954", "normalized_example_id": "ex_000954", "source_idx": 954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6083, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n) = 0", "budget": 4866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000954", "normalized_example_id": "ex_000954", "source_idx": 954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6083, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n) = 0", "budget": 6083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000954", "normalized_example_id": "ex_000954", "source_idx": 954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6083, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1200", "budget": 1123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000955", "normalized_example_id": "ex_000955", "source_idx": 955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1871, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1200", "budget": 1497 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000955", "normalized_example_id": "ex_000955", "source_idx": 955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1871, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1200", "budget": 1871 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000955", "normalized_example_id": "ex_000955", "source_idx": 955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1871, "...