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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": "48", "budget": 2919 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002928", "normalized_example_id": "ex_002928", "source_idx": 2928, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 3649 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002928", "normalized_example_id": "ex_002928", "source_idx": 2928, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8,12,18,27", "budget": 799 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002929", "normalized_example_id": "ex_002929", "source_idx": 2929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8,12,18,27", "budget": 1065 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002929", "normalized_example_id": "ex_002929", "source_idx": 2929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8,12,18,27", "budget": 1331 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002929", "normalized_example_id": "ex_002929", "source_idx": 2929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3k^2", "budget": 5996 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002933", "normalized_example_id": "ex_002933", "source_idx": 2933, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3k^2", "budget": 7995 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002933", "normalized_example_id": "ex_002933", "source_idx": 2933, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3k^2", "budget": 9994 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002933", "normalized_example_id": "ex_002933", "source_idx": 2933, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5823 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002936", "normalized_example_id": "ex_002936", "source_idx": 2936, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7764 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002936", "normalized_example_id": "ex_002936", "source_idx": 2936, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9705 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002936", "normalized_example_id": "ex_002936", "source_idx": 2936, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2, 4), (4, 2, 1), (3, 3, 3)", "budget": 4609 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002940", "normalized_example_id": "ex_002940", "source_idx": 2940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2, 4), (4, 2, 1), (3, 3, 3)", "budget": 6146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002940", "normalized_example_id": "ex_002940", "source_idx": 2940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2, 4), (4, 2, 1), (3, 3, 3)", "budget": 7682 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002940", "normalized_example_id": "ex_002940", "source_idx": 2940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}+y^{2}-\\sqrt{3} xy=\\frac{a^{2}}{4}", "budget": 4006 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002941", "normalized_example_id": "ex_002941", "source_idx": 2941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}+y^{2}-\\sqrt{3} xy=\\frac{a^{2}}{4}", "budget": 5341 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002941", "normalized_example_id": "ex_002941", "source_idx": 2941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}+y^{2}-\\sqrt{3} xy=\\frac{a^{2}}{4}", "budget": 6676 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002941", "normalized_example_id": "ex_002941", "source_idx": 2941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1304", "budget": 5026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002944", "normalized_example_id": "ex_002944", "source_idx": 2944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8377, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1304", "budget": 6702 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002944", "normalized_example_id": "ex_002944", "source_idx": 2944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8377, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1304", "budget": 8377 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002944", "normalized_example_id": "ex_002944", "source_idx": 2944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8377, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "68", "budget": 863 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002946", "normalized_example_id": "ex_002946", "source_idx": 2946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1439, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "68", "budget": 1151 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002946", "normalized_example_id": "ex_002946", "source_idx": 2946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1439, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "68", "budget": 1439 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002946", "normalized_example_id": "ex_002946", "source_idx": 2946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1439, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002947", "normalized_example_id": "ex_002947", "source_idx": 2947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3945 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002947", "normalized_example_id": "ex_002947", "source_idx": 2947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4931 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002947", "normalized_example_id": "ex_002947", "source_idx": 2947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4931, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002950", "normalized_example_id": "ex_002950", "source_idx": 2950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 1294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002950", "normalized_example_id": "ex_002950", "source_idx": 2950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A", "budget": 1617 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002950", "normalized_example_id": "ex_002950", "source_idx": 2950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "972", "budget": 5398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002951", "normalized_example_id": "ex_002951", "source_idx": 2951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8996, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "972", "budget": 7197 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002951", "normalized_example_id": "ex_002951", "source_idx": 2951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8996, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "972", "budget": 8996 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002951", "normalized_example_id": "ex_002951", "source_idx": 2951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8996, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "253", "budget": 2272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002959", "normalized_example_id": "ex_002959", "source_idx": 2959, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "253", "budget": 3029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002959", "normalized_example_id": "ex_002959", "source_idx": 2959, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "253", "budget": 3786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002959", "normalized_example_id": "ex_002959", "source_idx": 2959, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002960", "normalized_example_id": "ex_002960", "source_idx": 2960, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1404, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 1123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002960", "normalized_example_id": "ex_002960", "source_idx": 2960, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1404, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 1404 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002960", "normalized_example_id": "ex_002960", "source_idx": 2960, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1404, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4057 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002964", "normalized_example_id": "ex_002964", "source_idx": 2964, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6762, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002964", "normalized_example_id": "ex_002964", "source_idx": 2964, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6762, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6762 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002964", "normalized_example_id": "ex_002964", "source_idx": 2964, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6762, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B,G,H", "budget": 4817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002966", "normalized_example_id": "ex_002966", "source_idx": 2966, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B,G,H", "budget": 6423 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002966", "normalized_example_id": "ex_002966", "source_idx": 2966, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B,G,H", "budget": 8029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002966", "normalized_example_id": "ex_002966", "source_idx": 2966, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8029, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2543 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002967", "normalized_example_id": "ex_002967", "source_idx": 2967, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4239, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 3391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002967", "normalized_example_id": "ex_002967", "source_idx": 2967, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4239, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 4239 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002967", "normalized_example_id": "ex_002967", "source_idx": 2967, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4239, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28035", "budget": 2917 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002971", "normalized_example_id": "ex_002971", "source_idx": 2971, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4862, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28035", "budget": 3890 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002971", "normalized_example_id": "ex_002971", "source_idx": 2971, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4862, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28035", "budget": 4862 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002971", "normalized_example_id": "ex_002971", "source_idx": 2971, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4862, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 5199 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002973", "normalized_example_id": "ex_002973", "source_idx": 2973, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8665, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 6932 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002973", "normalized_example_id": "ex_002973", "source_idx": 2973, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8665, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 8665 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002973", "normalized_example_id": "ex_002973", "source_idx": 2973, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8665, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 3933 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002974", "normalized_example_id": "ex_002974", "source_idx": 2974, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6555, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 5244 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002974", "normalized_example_id": "ex_002974", "source_idx": 2974, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6555, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 6555 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002974", "normalized_example_id": "ex_002974", "source_idx": 2974, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6555, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 1818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002975", "normalized_example_id": "ex_002975", "source_idx": 2975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3030, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 2424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002975", "normalized_example_id": "ex_002975", "source_idx": 2975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3030, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80", "budget": 3030 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002975", "normalized_example_id": "ex_002975", "source_idx": 2975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3030, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3n^{2}+3n+1", "budget": 2621 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002976", "normalized_example_id": "ex_002976", "source_idx": 2976, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3n^{2}+3n+1", "budget": 3494 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002976", "normalized_example_id": "ex_002976", "source_idx": 2976, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3n^{2}+3n+1", "budget": 4368 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002976", "normalized_example_id": "ex_002976", "source_idx": 2976, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "s_{n}=s_{0}r^{n}", "budget": 1021 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002977", "normalized_example_id": "ex_002977", "source_idx": 2977, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1701, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "s_{n}=s_{0}r^{n}", "budget": 1361 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002977", "normalized_example_id": "ex_002977", "source_idx": 2977, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1701, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "s_{n}=s_{0}r^{n}", "budget": 1701 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002977", "normalized_example_id": "ex_002977", "source_idx": 2977, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1701, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3805 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002978", "normalized_example_id": "ex_002978", "source_idx": 2978, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6341, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5073 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002978", "normalized_example_id": "ex_002978", "source_idx": 2978, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6341, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6341 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002978", "normalized_example_id": "ex_002978", "source_idx": 2978, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6341, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6,7,8,9", "budget": 1984 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002979", "normalized_example_id": "ex_002979", "source_idx": 2979, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3307, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6,7,8,9", "budget": 2646 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002979", "normalized_example_id": "ex_002979", "source_idx": 2979, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3307, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6,7,8,9", "budget": 3307 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002979", "normalized_example_id": "ex_002979", "source_idx": 2979, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3307, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{3},-\\frac{3}{8},-\\frac{2}{5}", "budget": 2824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002980", "normalized_example_id": "ex_002980", "source_idx": 2980, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{3},-\\frac{3}{8},-\\frac{2}{5}", "budget": 3766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002980", "normalized_example_id": "ex_002980", "source_idx": 2980, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{3},-\\frac{3}{8},-\\frac{2}{5}", "budget": 4707 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002980", "normalized_example_id": "ex_002980", "source_idx": 2980, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4707, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 4352 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002981", "normalized_example_id": "ex_002981", "source_idx": 2981, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7253, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 5802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002981", "normalized_example_id": "ex_002981", "source_idx": 2981, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7253, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 7253 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002981", "normalized_example_id": "ex_002981", "source_idx": 2981, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7253, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "247", "budget": 3280 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002983", "normalized_example_id": "ex_002983", "source_idx": 2983, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5467, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "247", "budget": 4374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002983", "normalized_example_id": "ex_002983", "source_idx": 2983, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5467, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "247", "budget": 5467 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002983", "normalized_example_id": "ex_002983", "source_idx": 2983, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5467, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_n = \\frac{(-1)^{n-1}}{2^n}", "budget": 5284 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002984", "normalized_example_id": "ex_002984", "source_idx": 2984, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8807, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_n = \\frac{(-1)^{n-1}}{2^n}", "budget": 7046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002984", "normalized_example_id": "ex_002984", "source_idx": 2984, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8807, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_n = \\frac{(-1)^{n-1}}{2^n}", "budget": 8807 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002984", "normalized_example_id": "ex_002984", "source_idx": 2984, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8807, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[-4,4]", "budget": 2977 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002985", "normalized_example_id": "ex_002985", "source_idx": 2985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4962, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[-4,4]", "budget": 3970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002985", "normalized_example_id": "ex_002985", "source_idx": 2985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4962, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[-4,4]", "budget": 4962 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002985", "normalized_example_id": "ex_002985", "source_idx": 2985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4962, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4:21", "budget": 4266 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002988", "normalized_example_id": "ex_002988", "source_idx": 2988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4:21", "budget": 5688 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002988", "normalized_example_id": "ex_002988", "source_idx": 2988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4:21", "budget": 7110 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002988", "normalized_example_id": "ex_002988", "source_idx": 2988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7110, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3645", "budget": 2584 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002989", "normalized_example_id": "ex_002989", "source_idx": 2989, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4307, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3645", "budget": 3446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002989", "normalized_example_id": "ex_002989", "source_idx": 2989, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4307, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3645", "budget": 4307 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002989", "normalized_example_id": "ex_002989", "source_idx": 2989, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4307, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 6097 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002991", "normalized_example_id": "ex_002991", "source_idx": 2991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10162, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 8130 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002991", "normalized_example_id": "ex_002991", "source_idx": 2991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10162, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}", "budget": 10162 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002991", "normalized_example_id": "ex_002991", "source_idx": 2991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10162, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[1,2,8],[1,2,15],[1,3,10],[1,5,6],[2,3,5]", "budget": 4678 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002994", "normalized_example_id": "ex_002994", "source_idx": 2994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[1,2,8],[1,2,15],[1,3,10],[1,5,6],[2,3,5]", "budget": 6237 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002994", "normalized_example_id": "ex_002994", "source_idx": 2994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "[1,2,8],[1,2,15],[1,3,10],[1,5,6],[2,3,5]", "budget": 7796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002994", "normalized_example_id": "ex_002994", "source_idx": 2994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1895", "budget": 3972 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002996", "normalized_example_id": "ex_002996", "source_idx": 2996, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6620, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1895", "budget": 5296 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002996", "normalized_example_id": "ex_002996", "source_idx": 2996, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6620, ...