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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": "(2;1)", "budget": 1640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002453", "normalized_example_id": "ex_002453", "source_idx": 2453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2733, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;1)", "budget": 2186 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002453", "normalized_example_id": "ex_002453", "source_idx": 2453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2733, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;1)", "budget": 2733 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002453", "normalized_example_id": "ex_002453", "source_idx": 2453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2733, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1617 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002455", "normalized_example_id": "ex_002455", "source_idx": 2455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2156 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002455", "normalized_example_id": "ex_002455", "source_idx": 2455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2695 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002455", "normalized_example_id": "ex_002455", "source_idx": 2455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "55", "budget": 2794 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002456", "normalized_example_id": "ex_002456", "source_idx": 2456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4657, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "55", "budget": 3726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002456", "normalized_example_id": "ex_002456", "source_idx": 2456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4657, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "55", "budget": 4657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002456", "normalized_example_id": "ex_002456", "source_idx": 2456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4657, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}=1,y_{1}=4;x_{2}=1,y_{2}=-4;x_{3}=4,y_{3}=1;x_{4}=-4,y_{4}=1", "budget": 1075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002457", "normalized_example_id": "ex_002457", "source_idx": 2457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}=1,y_{1}=4;x_{2}=1,y_{2}=-4;x_{3}=4,y_{3}=1;x_{4}=-4,y_{4}=1", "budget": 1434 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002457", "normalized_example_id": "ex_002457", "source_idx": 2457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}=1,y_{1}=4;x_{2}=1,y_{2}=-4;x_{3}=4,y_{3}=1;x_{4}=-4,y_{4}=1", "budget": 1792 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002457", "normalized_example_id": "ex_002457", "source_idx": 2457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1,000,000", "budget": 2215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002458", "normalized_example_id": "ex_002458", "source_idx": 2458, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3691, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1,000,000", "budget": 2953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002458", "normalized_example_id": "ex_002458", "source_idx": 2458, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3691, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1,000,000", "budget": 3691 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002458", "normalized_example_id": "ex_002458", "source_idx": 2458, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3691, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002459", "normalized_example_id": "ex_002459", "source_idx": 2459, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1469, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 1175 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002459", "normalized_example_id": "ex_002459", "source_idx": 2459, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1469, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 1469 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002459", "normalized_example_id": "ex_002459", "source_idx": 2459, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1469, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{x^{2}}{64}(2x-1)^{32}-\\frac{x}{2112}(2x-1)^{33}+\\frac{(2x-1)^{34}}{143616}+C", "budget": 3367 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002460", "normalized_example_id": "ex_002460", "source_idx": 2460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{x^{2}}{64}(2x-1)^{32}-\\frac{x}{2112}(2x-1)^{33}+\\frac{(2x-1)^{34}}{143616}+C", "budget": 4490 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002460", "normalized_example_id": "ex_002460", "source_idx": 2460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{x^{2}}{64}(2x-1)^{32}-\\frac{x}{2112}(2x-1)^{33}+\\frac{(2x-1)^{34}}{143616}+C", "budget": 5612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002460", "normalized_example_id": "ex_002460", "source_idx": 2460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5612, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "67", "budget": 2520 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002461", "normalized_example_id": "ex_002461", "source_idx": 2461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4200, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "67", "budget": 3360 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002461", "normalized_example_id": "ex_002461", "source_idx": 2461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4200, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "67", "budget": 4200 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002461", "normalized_example_id": "ex_002461", "source_idx": 2461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4200, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 2205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002462", "normalized_example_id": "ex_002462", "source_idx": 2462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3675, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 2940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002462", "normalized_example_id": "ex_002462", "source_idx": 2462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3675, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 3675 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002462", "normalized_example_id": "ex_002462", "source_idx": 2462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3675, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{3}}{3}", "budget": 938 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002465", "normalized_example_id": "ex_002465", "source_idx": 2465, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1563, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{3}}{3}", "budget": 1250 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002465", "normalized_example_id": "ex_002465", "source_idx": 2465, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1563, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{3}}{3}", "budget": 1563 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002465", "normalized_example_id": "ex_002465", "source_idx": 2465, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1563, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.4\\mathrm{~}", "budget": 2196 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002466", "normalized_example_id": "ex_002466", "source_idx": 2466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3660, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.4\\mathrm{~}", "budget": 2928 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002466", "normalized_example_id": "ex_002466", "source_idx": 2466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3660, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.4\\mathrm{~}", "budget": 3660 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002466", "normalized_example_id": "ex_002466", "source_idx": 2466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3660, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{10} \\cdot 3^{10}", "budget": 2252 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002467", "normalized_example_id": "ex_002467", "source_idx": 2467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{10} \\cdot 3^{10}", "budget": 3003 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002467", "normalized_example_id": "ex_002467", "source_idx": 2467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{10} \\cdot 3^{10}", "budget": 3754 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002467", "normalized_example_id": "ex_002467", "source_idx": 2467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3754, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2007 + \\frac{\\pi}{2}", "budget": 2774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002470", "normalized_example_id": "ex_002470", "source_idx": 2470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4623, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2007 + \\frac{\\pi}{2}", "budget": 3698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002470", "normalized_example_id": "ex_002470", "source_idx": 2470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4623, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2007 + \\frac{\\pi}{2}", "budget": 4623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002470", "normalized_example_id": "ex_002470", "source_idx": 2470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4623, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 984 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002471", "normalized_example_id": "ex_002471", "source_idx": 2471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1312 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002471", "normalized_example_id": "ex_002471", "source_idx": 2471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002471", "normalized_example_id": "ex_002471", "source_idx": 2471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{7}", "budget": 3950 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002472", "normalized_example_id": "ex_002472", "source_idx": 2472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6583, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{7}", "budget": 5266 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002472", "normalized_example_id": "ex_002472", "source_idx": 2472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6583, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{7}", "budget": 6583 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002472", "normalized_example_id": "ex_002472", "source_idx": 2472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6583, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3575880", "budget": 2543 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002478", "normalized_example_id": "ex_002478", "source_idx": 2478, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4239, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3575880", "budget": 3391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002478", "normalized_example_id": "ex_002478", "source_idx": 2478, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4239, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3575880", "budget": 4239 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002478", "normalized_example_id": "ex_002478", "source_idx": 2478, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4239, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19,24,21,23,20,22", "budget": 621 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002479", "normalized_example_id": "ex_002479", "source_idx": 2479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19,24,21,23,20,22", "budget": 828 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002479", "normalized_example_id": "ex_002479", "source_idx": 2479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19,24,21,23,20,22", "budget": 1035 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002479", "normalized_example_id": "ex_002479", "source_idx": 2479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1035, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "942", "budget": 1526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002481", "normalized_example_id": "ex_002481", "source_idx": 2481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2543, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "942", "budget": 2034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002481", "normalized_example_id": "ex_002481", "source_idx": 2481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2543, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "942", "budget": 2543 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002481", "normalized_example_id": "ex_002481", "source_idx": 2481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2543, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4245 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002483", "normalized_example_id": "ex_002483", "source_idx": 2483, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5660 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002483", "normalized_example_id": "ex_002483", "source_idx": 2483, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002483", "normalized_example_id": "ex_002483", "source_idx": 2483, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2296 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002485", "normalized_example_id": "ex_002485", "source_idx": 2485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3826, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3061 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002485", "normalized_example_id": "ex_002485", "source_idx": 2485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3826, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3826 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002485", "normalized_example_id": "ex_002485", "source_idx": 2485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3826, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1732 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002487", "normalized_example_id": "ex_002487", "source_idx": 2487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2886, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002487", "normalized_example_id": "ex_002487", "source_idx": 2487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2886, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002487", "normalized_example_id": "ex_002487", "source_idx": 2487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2886, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{61}", "budget": 842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002488", "normalized_example_id": "ex_002488", "source_idx": 2488, "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": "\\sqrt{61}", "budget": 1122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002488", "normalized_example_id": "ex_002488", "source_idx": 2488, "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": "\\sqrt{61}", "budget": 1403 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002488", "normalized_example_id": "ex_002488", "source_idx": 2488, "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": "1", "budget": 4982 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002489", "normalized_example_id": "ex_002489", "source_idx": 2489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8304, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6643 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002489", "normalized_example_id": "ex_002489", "source_idx": 2489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8304, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002489", "normalized_example_id": "ex_002489", "source_idx": 2489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8304, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x^{2}+3x+2", "budget": 1187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002491", "normalized_example_id": "ex_002491", "source_idx": 2491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1978, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x^{2}+3x+2", "budget": 1582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002491", "normalized_example_id": "ex_002491", "source_idx": 2491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1978, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x^{2}+3x+2", "budget": 1978 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002491", "normalized_example_id": "ex_002491", "source_idx": 2491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1978, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "225625", "budget": 4973 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002495", "normalized_example_id": "ex_002495", "source_idx": 2495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "225625", "budget": 6630 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002495", "normalized_example_id": "ex_002495", "source_idx": 2495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "225625", "budget": 8288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002495", "normalized_example_id": "ex_002495", "source_idx": 2495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8288, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "M(X)=\\frac{1}{3},D(X)=\\frac{2}{9},\\sigma(X)=\\frac{\\sqrt{2}}{3}", "budget": 834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002496", "normalized_example_id": "ex_002496", "source_idx": 2496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "M(X)=\\frac{1}{3},D(X)=\\frac{2}{9},\\sigma(X)=\\frac{\\sqrt{2}}{3}", "budget": 1112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002496", "normalized_example_id": "ex_002496", "source_idx": 2496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "M(X)=\\frac{1}{3},D(X)=\\frac{2}{9},\\sigma(X)=\\frac{\\sqrt{2}}{3}", "budget": 1390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002496", "normalized_example_id": "ex_002496", "source_idx": 2496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9or-9", "budget": 1399 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002498", "normalized_example_id": "ex_002498", "source_idx": 2498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9or-9", "budget": 1865 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002498", "normalized_example_id": "ex_002498", "source_idx": 2498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9or-9", "budget": 2331 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002498", "normalized_example_id": "ex_002498", "source_idx": 2498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3310 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002499", "normalized_example_id": "ex_002499", "source_idx": 2499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4413 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002499", "normalized_example_id": "ex_002499", "source_idx": 2499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5516 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002499", "normalized_example_id": "ex_002499", "source_idx": 2499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "198", "budget": 2155 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002500", "normalized_example_id": "ex_002500", "source_idx": 2500, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "198", "budget": 2874 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002500", "normalized_example_id": "ex_002500", "source_idx": 2500, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "198", "budget": 3592 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002500", "normalized_example_id": "ex_002500", "source_idx": 2500, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3592, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2-\\sqrt{3}}{8}", "budget": 3491 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002501", "normalized_example_id": "ex_002501", "source_idx": 2501, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5819, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2-\\sqrt{3}}{8}", "budget": 4655 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002501", "normalized_example_id": "ex_002501", "source_idx": 2501, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5819, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2-\\sqrt{3}}{8}", "budget": 5819 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002501", "normalized_example_id": "ex_002501", "source_idx": 2501, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5819, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2416 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002502", "normalized_example_id": "ex_002502", "source_idx": 2502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4026, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3221 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002502", "normalized_example_id": "ex_002502", "source_idx": 2502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4026, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002502", "normalized_example_id": "ex_002502", "source_idx": 2502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4026, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{4}\\leqslantx\\leqslant\\frac{7}{4}\\pi", "budget": 5796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002504", "normalized_example_id": "ex_002504", "source_idx": 2504, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9660, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{4}\\leqslantx\\leqslant\\frac{7}{4}\\pi", "budget": 7728 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002504", "normalized_example_id": "ex_002504", "source_idx": 2504, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9660, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{4}\\leqslantx\\leqslant\\frac{7}{4}\\pi", "budget": 9660 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002504", "normalized_example_id": "ex_002504", "source_idx": 2504, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9660, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "M_{xy}=\\frac{1}{720},M_{yz}=\\frac{1}{360},M_{xz}=\\frac{1}{360}", "budget": 3370 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002506", "normalized_example_id": "ex_002506", "source_idx": 2506, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5616, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "M_{xy}=\\frac{1}{720},M_{yz}=\\frac{1}{360},M_{xz}=\\frac{1}{360}", "budget": 4493 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002506", "normalized_example_id": "ex_002506", "source_idx": 2506, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5616, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "M_{xy}=\\frac{1}{720},M_{yz}=\\frac{1}{360},M_{xz}=\\frac{1}{360}", "budget": 5616 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002506", "normalized_example_id": "ex_002506", "source_idx": 2506, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5616, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "39", "budget": 4623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002509", "normalized_example_id": "ex_002509", "source_idx": 2509, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7705, ...