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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": "30^\\circ", "budget": 2368 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001268", "normalized_example_id": "ex_001268", "source_idx": 1268, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2368, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001269", "normalized_example_id": "ex_001269", "source_idx": 1269, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3819, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3055 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001269", "normalized_example_id": "ex_001269", "source_idx": 1269, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3819, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3819 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001269", "normalized_example_id": "ex_001269", "source_idx": 1269, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3819, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\lambda}{2}", "budget": 6017 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001270", "normalized_example_id": "ex_001270", "source_idx": 1270, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10028, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\lambda}{2}", "budget": 8022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001270", "normalized_example_id": "ex_001270", "source_idx": 1270, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10028, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\lambda}{2}", "budget": 10028 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001270", "normalized_example_id": "ex_001270", "source_idx": 1270, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10028, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "144", "budget": 4927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001272", "normalized_example_id": "ex_001272", "source_idx": 1272, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "144", "budget": 6570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001272", "normalized_example_id": "ex_001272", "source_idx": 1272, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "144", "budget": 8212 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001272", "normalized_example_id": "ex_001272", "source_idx": 1272, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=0", "budget": 5127 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001276", "normalized_example_id": "ex_001276", "source_idx": 1276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=0", "budget": 6836 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001276", "normalized_example_id": "ex_001276", "source_idx": 1276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=0", "budget": 8545 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001276", "normalized_example_id": "ex_001276", "source_idx": 1276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001277", "normalized_example_id": "ex_001277", "source_idx": 1277, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2734, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001277", "normalized_example_id": "ex_001277", "source_idx": 1277, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2734, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2734 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001277", "normalized_example_id": "ex_001277", "source_idx": 1277, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2734, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "182", "budget": 1975 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001279", "normalized_example_id": "ex_001279", "source_idx": 1279, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3291, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "182", "budget": 2633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001279", "normalized_example_id": "ex_001279", "source_idx": 1279, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3291, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "182", "budget": 3291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001279", "normalized_example_id": "ex_001279", "source_idx": 1279, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3291, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 3917 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001281", "normalized_example_id": "ex_001281", "source_idx": 1281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 5222 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001281", "normalized_example_id": "ex_001281", "source_idx": 1281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{3}", "budget": 6528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001281", "normalized_example_id": "ex_001281", "source_idx": 1281, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 3631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001284", "normalized_example_id": "ex_001284", "source_idx": 1284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6052, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 4842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001284", "normalized_example_id": "ex_001284", "source_idx": 1284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6052, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 6052 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001284", "normalized_example_id": "ex_001284", "source_idx": 1284, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6052, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AQ:QC=4:27", "budget": 2703 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001285", "normalized_example_id": "ex_001285", "source_idx": 1285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AQ:QC=4:27", "budget": 3604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001285", "normalized_example_id": "ex_001285", "source_idx": 1285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "AQ:QC=4:27", "budget": 4505 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001285", "normalized_example_id": "ex_001285", "source_idx": 1285, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2638 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001286", "normalized_example_id": "ex_001286", "source_idx": 1286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3517 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001286", "normalized_example_id": "ex_001286", "source_idx": 1286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4396 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001286", "normalized_example_id": "ex_001286", "source_idx": 1286, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 3345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001287", "normalized_example_id": "ex_001287", "source_idx": 1287, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5575, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 4460 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001287", "normalized_example_id": "ex_001287", "source_idx": 1287, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5575, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 5575 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001287", "normalized_example_id": "ex_001287", "source_idx": 1287, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5575, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24068", "budget": 4436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001289", "normalized_example_id": "ex_001289", "source_idx": 1289, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7393, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24068", "budget": 5914 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001289", "normalized_example_id": "ex_001289", "source_idx": 1289, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7393, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24068", "budget": 7393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001289", "normalized_example_id": "ex_001289", "source_idx": 1289, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7393, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1036 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001290", "normalized_example_id": "ex_001290", "source_idx": 1290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1727, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001290", "normalized_example_id": "ex_001290", "source_idx": 1290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1727, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1727 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001290", "normalized_example_id": "ex_001290", "source_idx": 1290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1727, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5797 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001291", "normalized_example_id": "ex_001291", "source_idx": 1291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9662, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7730 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001291", "normalized_example_id": "ex_001291", "source_idx": 1291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9662, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9662 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001291", "normalized_example_id": "ex_001291", "source_idx": 1291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9662, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "585", "budget": 2726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001293", "normalized_example_id": "ex_001293", "source_idx": 1293, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4544, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "585", "budget": 3635 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001293", "normalized_example_id": "ex_001293", "source_idx": 1293, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4544, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "585", "budget": 4544 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001293", "normalized_example_id": "ex_001293", "source_idx": 1293, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4544, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5} + 1}{2}", "budget": 3167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001294", "normalized_example_id": "ex_001294", "source_idx": 1294, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5279, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5} + 1}{2}", "budget": 4223 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001294", "normalized_example_id": "ex_001294", "source_idx": 1294, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5279, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5} + 1}{2}", "budget": 5279 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001294", "normalized_example_id": "ex_001294", "source_idx": 1294, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5279, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "56", "budget": 2254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001295", "normalized_example_id": "ex_001295", "source_idx": 1295, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3756, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "56", "budget": 3005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001295", "normalized_example_id": "ex_001295", "source_idx": 1295, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3756, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "56", "budget": 3756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001295", "normalized_example_id": "ex_001295", "source_idx": 1295, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3756, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 4584 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001297", "normalized_example_id": "ex_001297", "source_idx": 1297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 6112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001297", "normalized_example_id": "ex_001297", "source_idx": 1297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64", "budget": 7640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001297", "normalized_example_id": "ex_001297", "source_idx": 1297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{4}", "budget": 947 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001298", "normalized_example_id": "ex_001298", "source_idx": 1298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1578, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{4}", "budget": 1262 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001298", "normalized_example_id": "ex_001298", "source_idx": 1298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1578, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{4}", "budget": 1578 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001298", "normalized_example_id": "ex_001298", "source_idx": 1298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1578, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3699 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001300", "normalized_example_id": "ex_001300", "source_idx": 1300, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4932 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001300", "normalized_example_id": "ex_001300", "source_idx": 1300, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001300", "normalized_example_id": "ex_001300", "source_idx": 1300, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6165, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2014", "budget": 3664 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001301", "normalized_example_id": "ex_001301", "source_idx": 1301, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6106, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2014", "budget": 4885 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001301", "normalized_example_id": "ex_001301", "source_idx": 1301, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6106, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2014", "budget": 6106 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001301", "normalized_example_id": "ex_001301", "source_idx": 1301, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6106, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6,13,20,27,34,41,48,55,62", "budget": 1269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001302", "normalized_example_id": "ex_001302", "source_idx": 1302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2115, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6,13,20,27,34,41,48,55,62", "budget": 1692 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001302", "normalized_example_id": "ex_001302", "source_idx": 1302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2115, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6,13,20,27,34,41,48,55,62", "budget": 2115 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001302", "normalized_example_id": "ex_001302", "source_idx": 1302, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2115, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 14, 21", "budget": 4544 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001306", "normalized_example_id": "ex_001306", "source_idx": 1306, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7574, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 14, 21", "budget": 6059 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001306", "normalized_example_id": "ex_001306", "source_idx": 1306, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7574, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 14, 21", "budget": 7574 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001306", "normalized_example_id": "ex_001306", "source_idx": 1306, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7574, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.5", "budget": 2420 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001307", "normalized_example_id": "ex_001307", "source_idx": 1307, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.5", "budget": 3226 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001307", "normalized_example_id": "ex_001307", "source_idx": 1307, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.5", "budget": 4033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001307", "normalized_example_id": "ex_001307", "source_idx": 1307, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha=\\frac{\\pi}{3}", "budget": 1503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001308", "normalized_example_id": "ex_001308", "source_idx": 1308, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha=\\frac{\\pi}{3}", "budget": 2004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001308", "normalized_example_id": "ex_001308", "source_idx": 1308, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha=\\frac{\\pi}{3}", "budget": 2505 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001308", "normalized_example_id": "ex_001308", "source_idx": 1308, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 2782 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001312", "normalized_example_id": "ex_001312", "source_idx": 1312, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4636, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 3709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001312", "normalized_example_id": "ex_001312", "source_idx": 1312, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4636, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 4636 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001312", "normalized_example_id": "ex_001312", "source_idx": 1312, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4636, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001320", "normalized_example_id": "ex_001320", "source_idx": 1320, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6149 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001320", "normalized_example_id": "ex_001320", "source_idx": 1320, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001320", "normalized_example_id": "ex_001320", "source_idx": 1320, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2146 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001321", "normalized_example_id": "ex_001321", "source_idx": 1321, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3576, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 2861 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001321", "normalized_example_id": "ex_001321", "source_idx": 1321, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3576, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 3576 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001321", "normalized_example_id": "ex_001321", "source_idx": 1321, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3576, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "649", "budget": 1094 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001325", "normalized_example_id": "ex_001325", "source_idx": 1325, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "649", "budget": 1459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001325", "normalized_example_id": "ex_001325", "source_idx": 1325, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "649", "budget": 1824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001325", "normalized_example_id": "ex_001325", "source_idx": 1325, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5975 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001327", "normalized_example_id": "ex_001327", "source_idx": 1327, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9959, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7967 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001327", "normalized_example_id": "ex_001327", "source_idx": 1327, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9959, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001327", "normalized_example_id": "ex_001327", "source_idx": 1327, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9959, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1873 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001328", "normalized_example_id": "ex_001328", "source_idx": 1328, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3122, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2498 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001328", "normalized_example_id": "ex_001328", "source_idx": 1328, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3122, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 3122 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001328", "normalized_example_id": "ex_001328", "source_idx": 1328, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3122, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 2308 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001331", "normalized_example_id": "ex_001331", "source_idx": 1331, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3846, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 3077 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001331", "normalized_example_id": "ex_001331", "source_idx": 1331, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3846, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1", "budget": 3846 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001331", "normalized_example_id": "ex_001331", "source_idx": 1331, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3846, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n-2", "budget": 3602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001333", "normalized_example_id": "ex_001333", "source_idx": 1333, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6004, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n-2", "budget": 4803 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001333", "normalized_example_id": "ex_001333", "source_idx": 1333, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6004, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n-2", "budget": 6004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001333", "normalized_example_id": "ex_001333", "source_idx": 1333, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6004, ...