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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": "\\sqrt{7}", "budget": 1914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003712", "normalized_example_id": "ex_003712", "source_idx": 3712, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2392, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}", "budget": 2392 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003712", "normalized_example_id": "ex_003712", "source_idx": 3712, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2392, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3475 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003713", "normalized_example_id": "ex_003713", "source_idx": 3713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003713", "normalized_example_id": "ex_003713", "source_idx": 3713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5791 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003713", "normalized_example_id": "ex_003713", "source_idx": 3713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 2612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003714", "normalized_example_id": "ex_003714", "source_idx": 3714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4353, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 3482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003714", "normalized_example_id": "ex_003714", "source_idx": 3714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4353, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 4353 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003714", "normalized_example_id": "ex_003714", "source_idx": 3714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4353, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003716", "normalized_example_id": "ex_003716", "source_idx": 3716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 1062 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003716", "normalized_example_id": "ex_003716", "source_idx": 3716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "32", "budget": 1327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003716", "normalized_example_id": "ex_003716", "source_idx": 3716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13.5", "budget": 1263 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003718", "normalized_example_id": "ex_003718", "source_idx": 3718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2105, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13.5", "budget": 1684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003718", "normalized_example_id": "ex_003718", "source_idx": 3718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2105, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13.5", "budget": 2105 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003718", "normalized_example_id": "ex_003718", "source_idx": 3718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2105, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{p^2}{4}", "budget": 5116 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003719", "normalized_example_id": "ex_003719", "source_idx": 3719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{p^2}{4}", "budget": 6821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003719", "normalized_example_id": "ex_003719", "source_idx": 3719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{p^2}{4}", "budget": 8526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003719", "normalized_example_id": "ex_003719", "source_idx": 3719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003720", "normalized_example_id": "ex_003720", "source_idx": 3720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 1557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003720", "normalized_example_id": "ex_003720", "source_idx": 3720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 1946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003720", "normalized_example_id": "ex_003720", "source_idx": 3720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{(n+2)^2 - 2 \\left\\lfloor \\frac{n}{2} \\right\\rfloor}{4}", "budget": 5032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003721", "normalized_example_id": "ex_003721", "source_idx": 3721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8387, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{(n+2)^2 - 2 \\left\\lfloor \\frac{n}{2} \\right\\rfloor}{4}", "budget": 6710 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003721", "normalized_example_id": "ex_003721", "source_idx": 3721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8387, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{(n+2)^2 - 2 \\left\\lfloor \\frac{n}{2} \\right\\rfloor}{4}", "budget": 8387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003721", "normalized_example_id": "ex_003721", "source_idx": 3721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8387, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{11}|7b-4a|", "budget": 4445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003722", "normalized_example_id": "ex_003722", "source_idx": 3722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7408, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{11}|7b-4a|", "budget": 5926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003722", "normalized_example_id": "ex_003722", "source_idx": 3722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7408, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{11}|7b-4a|", "budget": 7408 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003722", "normalized_example_id": "ex_003722", "source_idx": 3722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7408, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 2811 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003723", "normalized_example_id": "ex_003723", "source_idx": 3723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4685, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 3748 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003723", "normalized_example_id": "ex_003723", "source_idx": 3723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4685, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 4685 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003723", "normalized_example_id": "ex_003723", "source_idx": 3723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4685, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "d_{2}<d_{1}<1", "budget": 1736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003725", "normalized_example_id": "ex_003725", "source_idx": 3725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2894, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "d_{2}<d_{1}<1", "budget": 2315 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003725", "normalized_example_id": "ex_003725", "source_idx": 3725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2894, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "d_{2}<d_{1}<1", "budget": 2894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003725", "normalized_example_id": "ex_003725", "source_idx": 3725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2894, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2992 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003726", "normalized_example_id": "ex_003726", "source_idx": 3726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 3989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003726", "normalized_example_id": "ex_003726", "source_idx": 3726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 4986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003726", "normalized_example_id": "ex_003726", "source_idx": 3726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4986, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,y)=(\\frac{\\pi}{2},\\frac{\\pi}{2})", "budget": 2419 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003727", "normalized_example_id": "ex_003727", "source_idx": 3727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4032, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,y)=(\\frac{\\pi}{2},\\frac{\\pi}{2})", "budget": 3226 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003727", "normalized_example_id": "ex_003727", "source_idx": 3727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4032, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,y)=(\\frac{\\pi}{2},\\frac{\\pi}{2})", "budget": 4032 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003727", "normalized_example_id": "ex_003727", "source_idx": 3727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4032, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,0,3,1),(-1,0,-3,-1),(3,1,1,0),(-3,-1,-1,0)", "budget": 5455 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003729", "normalized_example_id": "ex_003729", "source_idx": 3729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,0,3,1),(-1,0,-3,-1),(3,1,1,0),(-3,-1,-1,0)", "budget": 7274 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003729", "normalized_example_id": "ex_003729", "source_idx": 3729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,0,3,1),(-1,0,-3,-1),(3,1,1,0),(-3,-1,-1,0)", "budget": 9092 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003729", "normalized_example_id": "ex_003729", "source_idx": 3729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5x^{4}}{\\cos^{2}x^{5}}", "budget": 1348 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003730", "normalized_example_id": "ex_003730", "source_idx": 3730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2247, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5x^{4}}{\\cos^{2}x^{5}}", "budget": 1798 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003730", "normalized_example_id": "ex_003730", "source_idx": 3730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2247, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5x^{4}}{\\cos^{2}x^{5}}", "budget": 2247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003730", "normalized_example_id": "ex_003730", "source_idx": 3730, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2247, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2020", "budget": 5029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003732", "normalized_example_id": "ex_003732", "source_idx": 3732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8382, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2020", "budget": 6706 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003732", "normalized_example_id": "ex_003732", "source_idx": 3732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8382, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2020", "budget": 8382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003732", "normalized_example_id": "ex_003732", "source_idx": 3732, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8382, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;-2)\\cup(-2;1)\\cup(1;2)", "budget": 4768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003735", "normalized_example_id": "ex_003735", "source_idx": 3735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7947, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;-2)\\cup(-2;1)\\cup(1;2)", "budget": 6358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003735", "normalized_example_id": "ex_003735", "source_idx": 3735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7947, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;-2)\\cup(-2;1)\\cup(1;2)", "budget": 7947 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003735", "normalized_example_id": "ex_003735", "source_idx": 3735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7947, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1355 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003736", "normalized_example_id": "ex_003736", "source_idx": 3736, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2258, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003736", "normalized_example_id": "ex_003736", "source_idx": 3736, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2258, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 2258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003736", "normalized_example_id": "ex_003736", "source_idx": 3736, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2258, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(n+1)!", "budget": 2465 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003740", "normalized_example_id": "ex_003740", "source_idx": 3740, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(n+1)!", "budget": 3287 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003740", "normalized_example_id": "ex_003740", "source_idx": 3740, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(n+1)!", "budget": 4109 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003740", "normalized_example_id": "ex_003740", "source_idx": 3740, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{9}", "budget": 3262 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003742", "normalized_example_id": "ex_003742", "source_idx": 3742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5436, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{9}", "budget": 4349 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003742", "normalized_example_id": "ex_003742", "source_idx": 3742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5436, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{9}", "budget": 5436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003742", "normalized_example_id": "ex_003742", "source_idx": 3742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5436, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e^{-\\frac{1}{\\pi}}", "budget": 2205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003743", "normalized_example_id": "ex_003743", "source_idx": 3743, "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": "e^{-\\frac{1}{\\pi}}", "budget": 2940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003743", "normalized_example_id": "ex_003743", "source_idx": 3743, "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": "e^{-\\frac{1}{\\pi}}", "budget": 3675 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003743", "normalized_example_id": "ex_003743", "source_idx": 3743, "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": "19:30", "budget": 1425 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003744", "normalized_example_id": "ex_003744", "source_idx": 3744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2375, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19:30", "budget": 1900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003744", "normalized_example_id": "ex_003744", "source_idx": 3744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2375, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19:30", "budget": 2375 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003744", "normalized_example_id": "ex_003744", "source_idx": 3744, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2375, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 4757 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003745", "normalized_example_id": "ex_003745", "source_idx": 3745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7928, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 6342 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003745", "normalized_example_id": "ex_003745", "source_idx": 3745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7928, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 7928 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003745", "normalized_example_id": "ex_003745", "source_idx": 3745, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7928, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 839 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003746", "normalized_example_id": "ex_003746", "source_idx": 3746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1399, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003746", "normalized_example_id": "ex_003746", "source_idx": 3746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1399, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1399 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003746", "normalized_example_id": "ex_003746", "source_idx": 3746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1399, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "379,397,739,937", "budget": 2699 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003747", "normalized_example_id": "ex_003747", "source_idx": 3747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4499, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "379,397,739,937", "budget": 3599 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003747", "normalized_example_id": "ex_003747", "source_idx": 3747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4499, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "379,397,739,937", "budget": 4499 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003747", "normalized_example_id": "ex_003747", "source_idx": 3747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4499, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003748", "normalized_example_id": "ex_003748", "source_idx": 3748, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8996, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7197 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003748", "normalized_example_id": "ex_003748", "source_idx": 3748, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8996, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8996 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003748", "normalized_example_id": "ex_003748", "source_idx": 3748, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8996, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\ln2", "budget": 2993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003750", "normalized_example_id": "ex_003750", "source_idx": 3750, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\ln2", "budget": 3991 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003750", "normalized_example_id": "ex_003750", "source_idx": 3750, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\ln2", "budget": 4989 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003750", "normalized_example_id": "ex_003750", "source_idx": 3750, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4989, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2015}", "budget": 2316 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003754", "normalized_example_id": "ex_003754", "source_idx": 3754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3860, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2015}", "budget": 3088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003754", "normalized_example_id": "ex_003754", "source_idx": 3754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3860, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2015}", "budget": 3860 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003754", "normalized_example_id": "ex_003754", "source_idx": 3754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3860, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15\\pi^{4}}{2^{10}}-\\frac{\\pi}{4}", "budget": 1313 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003757", "normalized_example_id": "ex_003757", "source_idx": 3757, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2188, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15\\pi^{4}}{2^{10}}-\\frac{\\pi}{4}", "budget": 1750 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003757", "normalized_example_id": "ex_003757", "source_idx": 3757, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2188, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{15\\pi^{4}}{2^{10}}-\\frac{\\pi}{4}", "budget": 2188 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003757", "normalized_example_id": "ex_003757", "source_idx": 3757, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2188, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{658} \\times 2", "budget": 1699 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003766", "normalized_example_id": "ex_003766", "source_idx": 3766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{658} \\times 2", "budget": 2265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003766", "normalized_example_id": "ex_003766", "source_idx": 3766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{658} \\times 2", "budget": 2831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003766", "normalized_example_id": "ex_003766", "source_idx": 3766, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003767", "normalized_example_id": "ex_003767", "source_idx": 3767, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6343, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003767", "normalized_example_id": "ex_003767", "source_idx": 3767, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6343, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003767", "normalized_example_id": "ex_003767", "source_idx": 3767, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6343, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 x^{2}+4 x+24", "budget": 1265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003769", "normalized_example_id": "ex_003769", "source_idx": 3769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 x^{2}+4 x+24", "budget": 1687 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003769", "normalized_example_id": "ex_003769", "source_idx": 3769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 x^{2}+4 x+24", "budget": 2109 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003769", "normalized_example_id": "ex_003769", "source_idx": 3769, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}-2", "budget": 2873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003770", "normalized_example_id": "ex_003770", "source_idx": 3770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4789, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}-2", "budget": 3831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003770", "normalized_example_id": "ex_003770", "source_idx": 3770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4789, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}-2", "budget": 4789 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003770", "normalized_example_id": "ex_003770", "source_idx": 3770, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4789, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900", "budget": 645 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003772", "normalized_example_id": "ex_003772", "source_idx": 3772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1075, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "900", "budget": 860 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003772", "normalized_example_id": "ex_003772", "source_idx": 3772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1075, ...