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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": "\\sinx-\\frac{2}{3}\\sin^{3}x+\\frac{1}{5}\\sin^{5}x+C", "budget": 634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006392", "normalized_example_id": "ex_006392", "source_idx": 6392, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1056, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sinx-\\frac{2}{3}\\sin^{3}x+\\frac{1}{5}\\sin^{5}x+C", "budget": 845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006392", "normalized_example_id": "ex_006392", "source_idx": 6392, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1056, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sinx-\\frac{2}{3}\\sin^{3}x+\\frac{1}{5}\\sin^{5}x+C", "budget": 1056 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006392", "normalized_example_id": "ex_006392", "source_idx": 6392, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1056, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6125;6375;4625;4875;5216;5736;5264;5784", "budget": 5953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006395", "normalized_example_id": "ex_006395", "source_idx": 6395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9922, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6125;6375;4625;4875;5216;5736;5264;5784", "budget": 7938 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006395", "normalized_example_id": "ex_006395", "source_idx": 6395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9922, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6125;6375;4625;4875;5216;5736;5264;5784", "budget": 9922 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006395", "normalized_example_id": "ex_006395", "source_idx": 6395, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9922, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1/3,1/3,1/3),(0,0,1),(0,1,0),(2/3,-1/3,2/3),(1,0,0),(-1,1,1)", "budget": 3838 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006397", "normalized_example_id": "ex_006397", "source_idx": 6397, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6397, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1/3,1/3,1/3),(0,0,1),(0,1,0),(2/3,-1/3,2/3),(1,0,0),(-1,1,1)", "budget": 5118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006397", "normalized_example_id": "ex_006397", "source_idx": 6397, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6397, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1/3,1/3,1/3),(0,0,1),(0,1,0),(2/3,-1/3,2/3),(1,0,0),(-1,1,1)", "budget": 6397 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006397", "normalized_example_id": "ex_006397", "source_idx": 6397, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6397, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{n}-3\\times2^{n}+3", "budget": 1672 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006398", "normalized_example_id": "ex_006398", "source_idx": 6398, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{n}-3\\times2^{n}+3", "budget": 2229 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006398", "normalized_example_id": "ex_006398", "source_idx": 6398, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{n}-3\\times2^{n}+3", "budget": 2786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006398", "normalized_example_id": "ex_006398", "source_idx": 6398, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{5}{6}(\\sqrt[5]{\\frac{1+\\sqrt[3]{x^{2}}}{\\sqrt[3]{x^{2}}}})^{9}+C", "budget": 4844 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006402", "normalized_example_id": "ex_006402", "source_idx": 6402, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{5}{6}(\\sqrt[5]{\\frac{1+\\sqrt[3]{x^{2}}}{\\sqrt[3]{x^{2}}}})^{9}+C", "budget": 6458 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006402", "normalized_example_id": "ex_006402", "source_idx": 6402, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{5}{6}(\\sqrt[5]{\\frac{1+\\sqrt[3]{x^{2}}}{\\sqrt[3]{x^{2}}}})^{9}+C", "budget": 8073 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006402", "normalized_example_id": "ex_006402", "source_idx": 6402, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\frac{4S^{2}}{b^{2}\\sin^{2}\\alpha}+b^{2}-4S\\cot\\alpha}", "budget": 5219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006404", "normalized_example_id": "ex_006404", "source_idx": 6404, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\frac{4S^{2}}{b^{2}\\sin^{2}\\alpha}+b^{2}-4S\\cot\\alpha}", "budget": 6958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006404", "normalized_example_id": "ex_006404", "source_idx": 6404, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\frac{4S^{2}}{b^{2}\\sin^{2}\\alpha}+b^{2}-4S\\cot\\alpha}", "budget": 8698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006404", "normalized_example_id": "ex_006404", "source_idx": 6404, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006405", "normalized_example_id": "ex_006405", "source_idx": 6405, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2373, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006405", "normalized_example_id": "ex_006405", "source_idx": 6405, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2373, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2373 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006405", "normalized_example_id": "ex_006405", "source_idx": 6405, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2373, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3\\pi}{2}", "budget": 3965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006407", "normalized_example_id": "ex_006407", "source_idx": 6407, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6608, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3\\pi}{2}", "budget": 5286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006407", "normalized_example_id": "ex_006407", "source_idx": 6407, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6608, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3\\pi}{2}", "budget": 6608 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006407", "normalized_example_id": "ex_006407", "source_idx": 6407, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6608, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2592", "budget": 4366 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006410", "normalized_example_id": "ex_006410", "source_idx": 6410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2592", "budget": 5821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006410", "normalized_example_id": "ex_006410", "source_idx": 6410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2592", "budget": 7276 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006410", "normalized_example_id": "ex_006410", "source_idx": 6410, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=20,B=30,C=23,D=19", "budget": 641 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006411", "normalized_example_id": "ex_006411", "source_idx": 6411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1069, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=20,B=30,C=23,D=19", "budget": 855 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006411", "normalized_example_id": "ex_006411", "source_idx": 6411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1069, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=20,B=30,C=23,D=19", "budget": 1069 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006411", "normalized_example_id": "ex_006411", "source_idx": 6411, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1069, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16\\sqrt{6}}{7}", "budget": 3812 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006412", "normalized_example_id": "ex_006412", "source_idx": 6412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16\\sqrt{6}}{7}", "budget": 5083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006412", "normalized_example_id": "ex_006412", "source_idx": 6412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{16\\sqrt{6}}{7}", "budget": 6354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006412", "normalized_example_id": "ex_006412", "source_idx": 6412, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "150", "budget": 3013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006413", "normalized_example_id": "ex_006413", "source_idx": 6413, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "150", "budget": 4018 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006413", "normalized_example_id": "ex_006413", "source_idx": 6413, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "150", "budget": 5022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006413", "normalized_example_id": "ex_006413", "source_idx": 6413, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006414", "normalized_example_id": "ex_006414", "source_idx": 6414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006414", "normalized_example_id": "ex_006414", "source_idx": 6414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006414", "normalized_example_id": "ex_006414", "source_idx": 6414, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1126 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006417", "normalized_example_id": "ex_006417", "source_idx": 6417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1876, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1501 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006417", "normalized_example_id": "ex_006417", "source_idx": 6417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1876, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1876 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006417", "normalized_example_id": "ex_006417", "source_idx": 6417, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1876, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50^{\\circ}", "budget": 2527 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006419", "normalized_example_id": "ex_006419", "source_idx": 6419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50^{\\circ}", "budget": 3370 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006419", "normalized_example_id": "ex_006419", "source_idx": 6419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50^{\\circ}", "budget": 4212 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006419", "normalized_example_id": "ex_006419", "source_idx": 6419, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1588 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006420", "normalized_example_id": "ex_006420", "source_idx": 6420, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006420", "normalized_example_id": "ex_006420", "source_idx": 6420, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006420", "normalized_example_id": "ex_006420", "source_idx": 6420, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2647, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1688 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006421", "normalized_example_id": "ex_006421", "source_idx": 6421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 2250 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006421", "normalized_example_id": "ex_006421", "source_idx": 6421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 2813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006421", "normalized_example_id": "ex_006421", "source_idx": 6421, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "21", "budget": 4131 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006422", "normalized_example_id": "ex_006422", "source_idx": 6422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6885, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "21", "budget": 5508 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006422", "normalized_example_id": "ex_006422", "source_idx": 6422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6885, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "21", "budget": 6885 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006422", "normalized_example_id": "ex_006422", "source_idx": 6422, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6885, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}", "budget": 2030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006424", "normalized_example_id": "ex_006424", "source_idx": 6424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3383, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}", "budget": 2706 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006424", "normalized_example_id": "ex_006424", "source_idx": 6424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3383, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}", "budget": 3383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006424", "normalized_example_id": "ex_006424", "source_idx": 6424, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3383, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63", "budget": 2020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006429", "normalized_example_id": "ex_006429", "source_idx": 6429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3366, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63", "budget": 2693 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006429", "normalized_example_id": "ex_006429", "source_idx": 6429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3366, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63", "budget": 3366 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006429", "normalized_example_id": "ex_006429", "source_idx": 6429, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3366, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{9}{2}", "budget": 1688 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006430", "normalized_example_id": "ex_006430", "source_idx": 6430, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{9}{2}", "budget": 2250 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006430", "normalized_example_id": "ex_006430", "source_idx": 6430, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{9}{2}", "budget": 2813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006430", "normalized_example_id": "ex_006430", "source_idx": 6430, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "280", "budget": 1211 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006431", "normalized_example_id": "ex_006431", "source_idx": 6431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "280", "budget": 1615 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006431", "normalized_example_id": "ex_006431", "source_idx": 6431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "280", "budget": 2019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006431", "normalized_example_id": "ex_006431", "source_idx": 6431, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2019, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006438", "normalized_example_id": "ex_006438", "source_idx": 6438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10011, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8009 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006438", "normalized_example_id": "ex_006438", "source_idx": 6438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10011, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 10011 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006438", "normalized_example_id": "ex_006438", "source_idx": 6438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10011, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006439", "normalized_example_id": "ex_006439", "source_idx": 6439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2041, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006439", "normalized_example_id": "ex_006439", "source_idx": 6439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2041, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2041 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006439", "normalized_example_id": "ex_006439", "source_idx": 6439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2041, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 2084 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006445", "normalized_example_id": "ex_006445", "source_idx": 6445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3473, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 2778 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006445", "normalized_example_id": "ex_006445", "source_idx": 6445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3473, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 3473 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006445", "normalized_example_id": "ex_006445", "source_idx": 6445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3473, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "846", "budget": 1031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006446", "normalized_example_id": "ex_006446", "source_idx": 6446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1718, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "846", "budget": 1374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006446", "normalized_example_id": "ex_006446", "source_idx": 6446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1718, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "846", "budget": 1718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006446", "normalized_example_id": "ex_006446", "source_idx": 6446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1718, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 5871 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006449", "normalized_example_id": "ex_006449", "source_idx": 6449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 7828 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006449", "normalized_example_id": "ex_006449", "source_idx": 6449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "11", "budget": 9785 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006449", "normalized_example_id": "ex_006449", "source_idx": 6449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{S\\sqrt{S}}{3}", "budget": 3692 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006450", "normalized_example_id": "ex_006450", "source_idx": 6450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6153, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{S\\sqrt{S}}{3}", "budget": 4922 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006450", "normalized_example_id": "ex_006450", "source_idx": 6450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6153, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{S\\sqrt{S}}{3}", "budget": 6153 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006450", "normalized_example_id": "ex_006450", "source_idx": 6450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6153, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}", "budget": 1202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006451", "normalized_example_id": "ex_006451", "source_idx": 6451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2003, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}", "budget": 1602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006451", "normalized_example_id": "ex_006451", "source_idx": 6451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2003, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}", "budget": 2003 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006451", "normalized_example_id": "ex_006451", "source_idx": 6451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2003, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}", "budget": 2272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006452", "normalized_example_id": "ex_006452", "source_idx": 6452, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3787, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}", "budget": 3030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006452", "normalized_example_id": "ex_006452", "source_idx": 6452, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3787, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}", "budget": 3787 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006452", "normalized_example_id": "ex_006452", "source_idx": 6452, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3787, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "226", "budget": 1897 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006453", "normalized_example_id": "ex_006453", "source_idx": 6453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3161, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "226", "budget": 2529 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006453", "normalized_example_id": "ex_006453", "source_idx": 6453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3161, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "226", "budget": 3161 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006453", "normalized_example_id": "ex_006453", "source_idx": 6453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3161, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}+\\frac{\\ln2}{36}", "budget": 2216 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006455", "normalized_example_id": "ex_006455", "source_idx": 6455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3693, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}+\\frac{\\ln2}{36}", "budget": 2954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006455", "normalized_example_id": "ex_006455", "source_idx": 6455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3693, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{3}+\\frac{\\ln2}{36}", "budget": 3693 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006455", "normalized_example_id": "ex_006455", "source_idx": 6455, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3693, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 919 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006456", "normalized_example_id": "ex_006456", "source_idx": 6456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1531, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006456", "normalized_example_id": "ex_006456", "source_idx": 6456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1531, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1531 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006456", "normalized_example_id": "ex_006456", "source_idx": 6456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1531, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3,5,13", "budget": 2590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006457", "normalized_example_id": "ex_006457", "source_idx": 6457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4316, ...