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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": "4", "budget": 6553 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000651", "normalized_example_id": "ex_000651", "source_idx": 651, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 8191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000651", "normalized_example_id": "ex_000651", "source_idx": 651, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "869", "budget": 1259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000653", "normalized_example_id": "ex_000653", "source_idx": 653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2099, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "869", "budget": 1679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000653", "normalized_example_id": "ex_000653", "source_idx": 653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2099, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "869", "budget": 2099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000653", "normalized_example_id": "ex_000653", "source_idx": 653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2099, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5617 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000654", "normalized_example_id": "ex_000654", "source_idx": 654, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9361, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7489 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000654", "normalized_example_id": "ex_000654", "source_idx": 654, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9361, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9361 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000654", "normalized_example_id": "ex_000654", "source_idx": 654, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9361, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{4}", "budget": 1393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000657", "normalized_example_id": "ex_000657", "source_idx": 657, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2322, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{4}", "budget": 1858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000657", "normalized_example_id": "ex_000657", "source_idx": 657, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2322, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{4}", "budget": 2322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000657", "normalized_example_id": "ex_000657", "source_idx": 657, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2322, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "666", "budget": 842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000658", "normalized_example_id": "ex_000658", "source_idx": 658, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1403, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "666", "budget": 1122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000658", "normalized_example_id": "ex_000658", "source_idx": 658, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1403, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "666", "budget": 1403 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000658", "normalized_example_id": "ex_000658", "source_idx": 658, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1403, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4519 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000659", "normalized_example_id": "ex_000659", "source_idx": 659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7532, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000659", "normalized_example_id": "ex_000659", "source_idx": 659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7532, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7532 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000659", "normalized_example_id": "ex_000659", "source_idx": 659, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7532, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1502 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000661", "normalized_example_id": "ex_000661", "source_idx": 661, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2504, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2003 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000661", "normalized_example_id": "ex_000661", "source_idx": 661, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2504, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000661", "normalized_example_id": "ex_000661", "source_idx": 661, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2504, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27.5", "budget": 4570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000663", "normalized_example_id": "ex_000663", "source_idx": 663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7616, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27.5", "budget": 6093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000663", "normalized_example_id": "ex_000663", "source_idx": 663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7616, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27.5", "budget": 7616 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000663", "normalized_example_id": "ex_000663", "source_idx": 663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7616, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} \\sqrt{3 a^{2}+4 h^{2}}", "budget": 2642 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000664", "normalized_example_id": "ex_000664", "source_idx": 664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4404, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} \\sqrt{3 a^{2}+4 h^{2}}", "budget": 3523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000664", "normalized_example_id": "ex_000664", "source_idx": 664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4404, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} \\sqrt{3 a^{2}+4 h^{2}}", "budget": 4404 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000664", "normalized_example_id": "ex_000664", "source_idx": 664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4404, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arccos(\\frac{1}{3})", "budget": 3388 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000665", "normalized_example_id": "ex_000665", "source_idx": 665, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5647, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arccos(\\frac{1}{3})", "budget": 4518 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000665", "normalized_example_id": "ex_000665", "source_idx": 665, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5647, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arccos(\\frac{1}{3})", "budget": 5647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000665", "normalized_example_id": "ex_000665", "source_idx": 665, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5647, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{2^{n+1}+(-1)^{n}}{3}", "budget": 1668 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000666", "normalized_example_id": "ex_000666", "source_idx": 666, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2780, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{2^{n+1}+(-1)^{n}}{3}", "budget": 2224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000666", "normalized_example_id": "ex_000666", "source_idx": 666, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2780, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{2^{n+1}+(-1)^{n}}{3}", "budget": 2780 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000666", "normalized_example_id": "ex_000666", "source_idx": 666, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2780, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.64", "budget": 990 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000667", "normalized_example_id": "ex_000667", "source_idx": 667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1650, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.64", "budget": 1320 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000667", "normalized_example_id": "ex_000667", "source_idx": 667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1650, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.64", "budget": 1650 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000667", "normalized_example_id": "ex_000667", "source_idx": 667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1650, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 4726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000668", "normalized_example_id": "ex_000668", "source_idx": 668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7876, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 6301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000668", "normalized_example_id": "ex_000668", "source_idx": 668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7876, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 7876 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000668", "normalized_example_id": "ex_000668", "source_idx": 668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7876, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 5911 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000669", "normalized_example_id": "ex_000669", "source_idx": 669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9851, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 7881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000669", "normalized_example_id": "ex_000669", "source_idx": 669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9851, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 9851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000669", "normalized_example_id": "ex_000669", "source_idx": 669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9851, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000674", "normalized_example_id": "ex_000674", "source_idx": 674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6196, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4957 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000674", "normalized_example_id": "ex_000674", "source_idx": 674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6196, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6196 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000674", "normalized_example_id": "ex_000674", "source_idx": 674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6196, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 1921 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000675", "normalized_example_id": "ex_000675", "source_idx": 675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3202, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 2562 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000675", "normalized_example_id": "ex_000675", "source_idx": 675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3202, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 3202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000675", "normalized_example_id": "ex_000675", "source_idx": 675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3202, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 2344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000676", "normalized_example_id": "ex_000676", "source_idx": 676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3906, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 3125 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000676", "normalized_example_id": "ex_000676", "source_idx": 676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3906, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 3906 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000676", "normalized_example_id": "ex_000676", "source_idx": 676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3906, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12960000", "budget": 2392 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000683", "normalized_example_id": "ex_000683", "source_idx": 683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3986, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12960000", "budget": 3189 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000683", "normalized_example_id": "ex_000683", "source_idx": 683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3986, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12960000", "budget": 3986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000683", "normalized_example_id": "ex_000683", "source_idx": 683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3986, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 800 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000685", "normalized_example_id": "ex_000685", "source_idx": 685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1334, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000685", "normalized_example_id": "ex_000685", "source_idx": 685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1334, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000685", "normalized_example_id": "ex_000685", "source_idx": 685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1334, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25.5", "budget": 3793 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000686", "normalized_example_id": "ex_000686", "source_idx": 686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6322, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25.5", "budget": 5058 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000686", "normalized_example_id": "ex_000686", "source_idx": 686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6322, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25.5", "budget": 6322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000686", "normalized_example_id": "ex_000686", "source_idx": 686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6322, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "r", "budget": 4733 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000689", "normalized_example_id": "ex_000689", "source_idx": 689, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7889, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "r", "budget": 6311 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000689", "normalized_example_id": "ex_000689", "source_idx": 689, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7889, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "r", "budget": 7889 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000689", "normalized_example_id": "ex_000689", "source_idx": 689, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7889, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{5\\sqrt{3}}{2}-2", "budget": 3308 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000691", "normalized_example_id": "ex_000691", "source_idx": 691, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5514, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{5\\sqrt{3}}{2}-2", "budget": 4411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000691", "normalized_example_id": "ex_000691", "source_idx": 691, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5514, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{5\\sqrt{3}}{2}-2", "budget": 5514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000691", "normalized_example_id": "ex_000691", "source_idx": 691, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5514, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000693", "normalized_example_id": "ex_000693", "source_idx": 693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8782, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000693", "normalized_example_id": "ex_000693", "source_idx": 693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8782, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8782 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000693", "normalized_example_id": "ex_000693", "source_idx": 693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8782, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 2526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000696", "normalized_example_id": "ex_000696", "source_idx": 696, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4210, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 3368 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000696", "normalized_example_id": "ex_000696", "source_idx": 696, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4210, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a", "budget": 4210 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000696", "normalized_example_id": "ex_000696", "source_idx": 696, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4210, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7960", "budget": 5356 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000699", "normalized_example_id": "ex_000699", "source_idx": 699, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8926, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7960", "budget": 7141 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000699", "normalized_example_id": "ex_000699", "source_idx": 699, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8926, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7960", "budget": 8926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000699", "normalized_example_id": "ex_000699", "source_idx": 699, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8926, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50", "budget": 1932 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000700", "normalized_example_id": "ex_000700", "source_idx": 700, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3220, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50", "budget": 2576 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000700", "normalized_example_id": "ex_000700", "source_idx": 700, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3220, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50", "budget": 3220 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000700", "normalized_example_id": "ex_000700", "source_idx": 700, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3220, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3704 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000701", "normalized_example_id": "ex_000701", "source_idx": 701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6173, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 4938 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000701", "normalized_example_id": "ex_000701", "source_idx": 701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6173, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 6173 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000701", "normalized_example_id": "ex_000701", "source_idx": 701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6173, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1653", "budget": 1672 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000702", "normalized_example_id": "ex_000702", "source_idx": 702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2787, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1653", "budget": 2230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000702", "normalized_example_id": "ex_000702", "source_idx": 702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2787, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1653", "budget": 2787 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000702", "normalized_example_id": "ex_000702", "source_idx": 702, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2787, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000703", "normalized_example_id": "ex_000703", "source_idx": 703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4639, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3711 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000703", "normalized_example_id": "ex_000703", "source_idx": 703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4639, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4639 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000703", "normalized_example_id": "ex_000703", "source_idx": 703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4639, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1or2", "budget": 4663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000704", "normalized_example_id": "ex_000704", "source_idx": 704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7771, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1or2", "budget": 6217 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000704", "normalized_example_id": "ex_000704", "source_idx": 704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7771, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1or2", "budget": 7771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000704", "normalized_example_id": "ex_000704", "source_idx": 704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7771, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=x_{2}=\\cdots=x_{n}=1", "budget": 4588 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000707", "normalized_example_id": "ex_000707", "source_idx": 707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7647, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=x_{2}=\\cdots=x_{n}=1", "budget": 6118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000707", "normalized_example_id": "ex_000707", "source_idx": 707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7647, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{1}=x_{2}=\\cdots=x_{n}=1", "budget": 7647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000707", "normalized_example_id": "ex_000707", "source_idx": 707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7647, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "400", "budget": 2397 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000708", "normalized_example_id": "ex_000708", "source_idx": 708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3995, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "400", "budget": 3196 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000708", "normalized_example_id": "ex_000708", "source_idx": 708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3995, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "400", "budget": 3995 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000708", "normalized_example_id": "ex_000708", "source_idx": 708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3995, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000709", "normalized_example_id": "ex_000709", "source_idx": 709, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2763, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2210 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000709", "normalized_example_id": "ex_000709", "source_idx": 709, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2763, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2763 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000709", "normalized_example_id": "ex_000709", "source_idx": 709, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2763, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4}{5}", "budget": 1880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000712", "normalized_example_id": "ex_000712", "source_idx": 712, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3133, "...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4}{5}", "budget": 2506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_000712", "normalized_example_id": "ex_000712", "source_idx": 712, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3133, "...