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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": "90", "budget": 3034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006271", "normalized_example_id": "ex_006271", "source_idx": 6271, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3792 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006271", "normalized_example_id": "ex_006271", "source_idx": 6271, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "253512", "budget": 2064 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006273", "normalized_example_id": "ex_006273", "source_idx": 6273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3440, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "253512", "budget": 2752 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006273", "normalized_example_id": "ex_006273", "source_idx": 6273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3440, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "253512", "budget": 3440 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006273", "normalized_example_id": "ex_006273", "source_idx": 6273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3440, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360", "budget": 2371 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006274", "normalized_example_id": "ex_006274", "source_idx": 6274, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360", "budget": 3161 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006274", "normalized_example_id": "ex_006274", "source_idx": 6274, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "360", "budget": 3951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006274", "normalized_example_id": "ex_006274", "source_idx": 6274, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{3}", "budget": 1684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006275", "normalized_example_id": "ex_006275", "source_idx": 6275, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{3}", "budget": 2245 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006275", "normalized_example_id": "ex_006275", "source_idx": 6275, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{\\sqrt{3}}{3}", "budget": 2806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006275", "normalized_example_id": "ex_006275", "source_idx": 6275, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 2909 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006276", "normalized_example_id": "ex_006276", "source_idx": 6276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4849, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 3879 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006276", "normalized_example_id": "ex_006276", "source_idx": 6276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4849, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 4849 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006276", "normalized_example_id": "ex_006276", "source_idx": 6276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4849, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006281", "normalized_example_id": "ex_006281", "source_idx": 6281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2443, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006281", "normalized_example_id": "ex_006281", "source_idx": 6281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2443, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2443 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006281", "normalized_example_id": "ex_006281", "source_idx": 6281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2443, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2019", "budget": 785 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006283", "normalized_example_id": "ex_006283", "source_idx": 6283, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1308, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2019", "budget": 1046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006283", "normalized_example_id": "ex_006283", "source_idx": 6283, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1308, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2019", "budget": 1308 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006283", "normalized_example_id": "ex_006283", "source_idx": 6283, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1308, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4\\,", "budget": 2726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006284", "normalized_example_id": "ex_006284", "source_idx": 6284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4543, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4\\,", "budget": 3634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006284", "normalized_example_id": "ex_006284", "source_idx": 6284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4543, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4\\,", "budget": 4543 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006284", "normalized_example_id": "ex_006284", "source_idx": 6284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4543, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4316 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006285", "normalized_example_id": "ex_006285", "source_idx": 6285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7194, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5755 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006285", "normalized_example_id": "ex_006285", "source_idx": 6285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7194, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7194 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006285", "normalized_example_id": "ex_006285", "source_idx": 6285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7194, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{CU^{2}(\\varepsilon-1)^{2}}{2\\varepsilon(\\varepsilon+1)}", "budget": 2620 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006286", "normalized_example_id": "ex_006286", "source_idx": 6286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4366, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{CU^{2}(\\varepsilon-1)^{2}}{2\\varepsilon(\\varepsilon+1)}", "budget": 3493 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006286", "normalized_example_id": "ex_006286", "source_idx": 6286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4366, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{CU^{2}(\\varepsilon-1)^{2}}{2\\varepsilon(\\varepsilon+1)}", "budget": 4366 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006286", "normalized_example_id": "ex_006286", "source_idx": 6286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4366, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3412 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006287", "normalized_example_id": "ex_006287", "source_idx": 6287, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5687, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4550 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006287", "normalized_example_id": "ex_006287", "source_idx": 6287, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5687, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5687 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006287", "normalized_example_id": "ex_006287", "source_idx": 6287, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5687, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "432", "budget": 4217 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006288", "normalized_example_id": "ex_006288", "source_idx": 6288, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "432", "budget": 5623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006288", "normalized_example_id": "ex_006288", "source_idx": 6288, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "432", "budget": 7029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006288", "normalized_example_id": "ex_006288", "source_idx": 6288, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "517", "budget": 2342 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006291", "normalized_example_id": "ex_006291", "source_idx": 6291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3903, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "517", "budget": 3122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006291", "normalized_example_id": "ex_006291", "source_idx": 6291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3903, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "517", "budget": 3903 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006291", "normalized_example_id": "ex_006291", "source_idx": 6291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3903, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arccos\\frac{1}{3}", "budget": 4343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006295", "normalized_example_id": "ex_006295", "source_idx": 6295, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7238, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arccos\\frac{1}{3}", "budget": 5790 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006295", "normalized_example_id": "ex_006295", "source_idx": 6295, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7238, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\arccos\\frac{1}{3}", "budget": 7238 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006295", "normalized_example_id": "ex_006295", "source_idx": 6295, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7238, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(P) = 0", "budget": 4499 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006296", "normalized_example_id": "ex_006296", "source_idx": 6296, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7498, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(P) = 0", "budget": 5998 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006296", "normalized_example_id": "ex_006296", "source_idx": 6296, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7498, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(P) = 0", "budget": 7498 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006296", "normalized_example_id": "ex_006296", "source_idx": 6296, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7498, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 4208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006297", "normalized_example_id": "ex_006297", "source_idx": 6297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 5610 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006297", "normalized_example_id": "ex_006297", "source_idx": 6297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 7013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006297", "normalized_example_id": "ex_006297", "source_idx": 6297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006298", "normalized_example_id": "ex_006298", "source_idx": 6298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5253 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006298", "normalized_example_id": "ex_006298", "source_idx": 6298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006298", "normalized_example_id": "ex_006298", "source_idx": 6298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2731 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006300", "normalized_example_id": "ex_006300", "source_idx": 6300, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3641 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006300", "normalized_example_id": "ex_006300", "source_idx": 6300, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4551 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006300", "normalized_example_id": "ex_006300", "source_idx": 6300, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4551, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1or3", "budget": 4915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006302", "normalized_example_id": "ex_006302", "source_idx": 6302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1or3", "budget": 6553 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006302", "normalized_example_id": "ex_006302", "source_idx": 6302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1or3", "budget": 8191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006302", "normalized_example_id": "ex_006302", "source_idx": 6302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8191, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 812 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006304", "normalized_example_id": "ex_006304", "source_idx": 6304, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 1083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006304", "normalized_example_id": "ex_006304", "source_idx": 6304, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{2}", "budget": 1354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006304", "normalized_example_id": "ex_006304", "source_idx": 6304, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1354, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 1115 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006308", "normalized_example_id": "ex_006308", "source_idx": 6308, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 1486 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006308", "normalized_example_id": "ex_006308", "source_idx": 6308, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "143", "budget": 1858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006308", "normalized_example_id": "ex_006308", "source_idx": 6308, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{17}{21}", "budget": 1556 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006309", "normalized_example_id": "ex_006309", "source_idx": 6309, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2594, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{17}{21}", "budget": 2075 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006309", "normalized_example_id": "ex_006309", "source_idx": 6309, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2594, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{17}{21}", "budget": 2594 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006309", "normalized_example_id": "ex_006309", "source_idx": 6309, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2594, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2700", "budget": 5077 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006310", "normalized_example_id": "ex_006310", "source_idx": 6310, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2700", "budget": 6769 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006310", "normalized_example_id": "ex_006310", "source_idx": 6310, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2700", "budget": 8461 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006310", "normalized_example_id": "ex_006310", "source_idx": 6310, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 2230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006311", "normalized_example_id": "ex_006311", "source_idx": 6311, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 2974 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006311", "normalized_example_id": "ex_006311", "source_idx": 6311, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 3717 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006311", "normalized_example_id": "ex_006311", "source_idx": 6311, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4002 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006312", "normalized_example_id": "ex_006312", "source_idx": 6312, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6670, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006312", "normalized_example_id": "ex_006312", "source_idx": 6312, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6670, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006312", "normalized_example_id": "ex_006312", "source_idx": 6312, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6670, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=4, y=6", "budget": 3162 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006313", "normalized_example_id": "ex_006313", "source_idx": 6313, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5270, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=4, y=6", "budget": 4216 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006313", "normalized_example_id": "ex_006313", "source_idx": 6313, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5270, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=4, y=6", "budget": 5270 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006313", "normalized_example_id": "ex_006313", "source_idx": 6313, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5270, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 4385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006318", "normalized_example_id": "ex_006318", "source_idx": 6318, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 5847 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006318", "normalized_example_id": "ex_006318", "source_idx": 6318, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 7309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006318", "normalized_example_id": "ex_006318", "source_idx": 6318, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7309, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 3874 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006320", "normalized_example_id": "ex_006320", "source_idx": 6320, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6456, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 5165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006320", "normalized_example_id": "ex_006320", "source_idx": 6320, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6456, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 6456 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006320", "normalized_example_id": "ex_006320", "source_idx": 6320, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6456, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7381", "budget": 4505 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006321", "normalized_example_id": "ex_006321", "source_idx": 6321, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7509, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7381", "budget": 6007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006321", "normalized_example_id": "ex_006321", "source_idx": 6321, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7509, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7381", "budget": 7509 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006321", "normalized_example_id": "ex_006321", "source_idx": 6321, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7509, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "316", "budget": 4686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006322", "normalized_example_id": "ex_006322", "source_idx": 6322, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7810, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "316", "budget": 6248 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006322", "normalized_example_id": "ex_006322", "source_idx": 6322, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7810, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "316", "budget": 7810 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006322", "normalized_example_id": "ex_006322", "source_idx": 6322, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7810, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{5}", "budget": 911 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006324", "normalized_example_id": "ex_006324", "source_idx": 6324, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1519, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{5}", "budget": 1215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006324", "normalized_example_id": "ex_006324", "source_idx": 6324, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1519, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{5}", "budget": 1519 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006324", "normalized_example_id": "ex_006324", "source_idx": 6324, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1519, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{40}{119}", "budget": 1070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006325", "normalized_example_id": "ex_006325", "source_idx": 6325, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{40}{119}", "budget": 1426 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006325", "normalized_example_id": "ex_006325", "source_idx": 6325, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{40}{119}", "budget": 1783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006325", "normalized_example_id": "ex_006325", "source_idx": 6325, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 944 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006326", "normalized_example_id": "ex_006326", "source_idx": 6326, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 1258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006326", "normalized_example_id": "ex_006326", "source_idx": 6326, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 1573 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006326", "normalized_example_id": "ex_006326", "source_idx": 6326, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1573, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 2290 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006328", "normalized_example_id": "ex_006328", "source_idx": 6328, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3816, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 3053 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006328", "normalized_example_id": "ex_006328", "source_idx": 6328, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3816, ...