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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": "-\\frac{1}{4}\\cdot(\\arccosx)^{4}+\\arccosx+C", "budget": 1530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001081", "normalized_example_id": "ex_001081", "source_idx": 1081, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1530, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001083", "normalized_example_id": "ex_001083", "source_idx": 1083, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6508 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001083", "normalized_example_id": "ex_001083", "source_idx": 1083, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8135 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001083", "normalized_example_id": "ex_001083", "source_idx": 1083, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8135, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2747 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001084", "normalized_example_id": "ex_001084", "source_idx": 1084, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001084", "normalized_example_id": "ex_001084", "source_idx": 1084, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4579 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001084", "normalized_example_id": "ex_001084", "source_idx": 1084, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "100", "budget": 5390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001088", "normalized_example_id": "ex_001088", "source_idx": 1088, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8983, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "100", "budget": 7186 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001088", "normalized_example_id": "ex_001088", "source_idx": 1088, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8983, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "100", "budget": 8983 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001088", "normalized_example_id": "ex_001088", "source_idx": 1088, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8983, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2007}", "budget": 3406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001089", "normalized_example_id": "ex_001089", "source_idx": 1089, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2007}", "budget": 4541 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001089", "normalized_example_id": "ex_001089", "source_idx": 1089, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2007}", "budget": 5676 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001089", "normalized_example_id": "ex_001089", "source_idx": 1089, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5676, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{3}", "budget": 3624 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001090", "normalized_example_id": "ex_001090", "source_idx": 1090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6040, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{3}", "budget": 4832 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001090", "normalized_example_id": "ex_001090", "source_idx": 1090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6040, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{3}", "budget": 6040 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001090", "normalized_example_id": "ex_001090", "source_idx": 1090, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6040, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "239297520", "budget": 2746 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001092", "normalized_example_id": "ex_001092", "source_idx": 1092, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4576, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "239297520", "budget": 3661 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001092", "normalized_example_id": "ex_001092", "source_idx": 1092, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4576, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "239297520", "budget": 4576 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001092", "normalized_example_id": "ex_001092", "source_idx": 1092, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4576, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.24", "budget": 2590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001093", "normalized_example_id": "ex_001093", "source_idx": 1093, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4317, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.24", "budget": 3454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001093", "normalized_example_id": "ex_001093", "source_idx": 1093, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4317, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2.24", "budget": 4317 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001093", "normalized_example_id": "ex_001093", "source_idx": 1093, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4317, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 4082 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001094", "normalized_example_id": "ex_001094", "source_idx": 1094, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6803, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 5442 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001094", "normalized_example_id": "ex_001094", "source_idx": 1094, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6803, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 6803 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001094", "normalized_example_id": "ex_001094", "source_idx": 1094, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6803, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 3951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001100", "normalized_example_id": "ex_001100", "source_idx": 1100, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 5268 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001100", "normalized_example_id": "ex_001100", "source_idx": 1100, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 6585 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001100", "normalized_example_id": "ex_001100", "source_idx": 1100, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6585, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 2138 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001102", "normalized_example_id": "ex_001102", "source_idx": 1102, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3563, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 2850 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001102", "normalized_example_id": "ex_001102", "source_idx": 1102, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3563, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "36", "budget": 3563 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001102", "normalized_example_id": "ex_001102", "source_idx": 1102, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3563, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2413 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001103", "normalized_example_id": "ex_001103", "source_idx": 1103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001103", "normalized_example_id": "ex_001103", "source_idx": 1103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001103", "normalized_example_id": "ex_001103", "source_idx": 1103, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1318", "budget": 3738 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001105", "normalized_example_id": "ex_001105", "source_idx": 1105, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6230, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1318", "budget": 4984 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001105", "normalized_example_id": "ex_001105", "source_idx": 1105, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6230, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1318", "budget": 6230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001105", "normalized_example_id": "ex_001105", "source_idx": 1105, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6230, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.54", "budget": 3793 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001106", "normalized_example_id": "ex_001106", "source_idx": 1106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.54", "budget": 5057 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001106", "normalized_example_id": "ex_001106", "source_idx": 1106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.54", "budget": 6321 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001106", "normalized_example_id": "ex_001106", "source_idx": 1106, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001109", "normalized_example_id": "ex_001109", "source_idx": 1109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001109", "normalized_example_id": "ex_001109", "source_idx": 1109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001109", "normalized_example_id": "ex_001109", "source_idx": 1109, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50\\mathrm{}/\\mathrm{}", "budget": 1357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001111", "normalized_example_id": "ex_001111", "source_idx": 1111, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2261, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50\\mathrm{}/\\mathrm{}", "budget": 1809 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001111", "normalized_example_id": "ex_001111", "source_idx": 1111, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2261, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "50\\mathrm{}/\\mathrm{}", "budget": 2261 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001111", "normalized_example_id": "ex_001111", "source_idx": 1111, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2261, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{(4a+b)b\\sqrt{3}}{8}", "budget": 2388 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001112", "normalized_example_id": "ex_001112", "source_idx": 1112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3980, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{(4a+b)b\\sqrt{3}}{8}", "budget": 3184 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001112", "normalized_example_id": "ex_001112", "source_idx": 1112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3980, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{(4a+b)b\\sqrt{3}}{8}", "budget": 3980 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001112", "normalized_example_id": "ex_001112", "source_idx": 1112, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3980, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 778 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001114", "normalized_example_id": "ex_001114", "source_idx": 1114, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1296, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1037 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001114", "normalized_example_id": "ex_001114", "source_idx": 1114, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1296, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1296 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001114", "normalized_example_id": "ex_001114", "source_idx": 1114, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1296, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-0.5", "budget": 3103 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001115", "normalized_example_id": "ex_001115", "source_idx": 1115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5171, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-0.5", "budget": 4137 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001115", "normalized_example_id": "ex_001115", "source_idx": 1115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5171, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-0.5", "budget": 5171 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001115", "normalized_example_id": "ex_001115", "source_idx": 1115, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5171, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "189", "budget": 994 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001116", "normalized_example_id": "ex_001116", "source_idx": 1116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1657, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "189", "budget": 1326 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001116", "normalized_example_id": "ex_001116", "source_idx": 1116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1657, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "189", "budget": 1657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001116", "normalized_example_id": "ex_001116", "source_idx": 1116, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1657, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 4880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001117", "normalized_example_id": "ex_001117", "source_idx": 1117, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 6506 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001117", "normalized_example_id": "ex_001117", "source_idx": 1117, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "E", "budget": 8133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001117", "normalized_example_id": "ex_001117", "source_idx": 1117, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "raspberry", "budget": 1187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001121", "normalized_example_id": "ex_001121", "source_idx": 1121, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1978, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "raspberry", "budget": 1582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001121", "normalized_example_id": "ex_001121", "source_idx": 1121, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1978, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "raspberry", "budget": 1978 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001121", "normalized_example_id": "ex_001121", "source_idx": 1121, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1978, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{1347}", "budget": 1758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001123", "normalized_example_id": "ex_001123", "source_idx": 1123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{1347}", "budget": 2344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001123", "normalized_example_id": "ex_001123", "source_idx": 1123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{1347}", "budget": 2930 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001123", "normalized_example_id": "ex_001123", "source_idx": 1123, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2930, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-\\ln|x|+\\frac{1}{9}\\ln|x-4|-\\frac{1}{9}\\ln|x+5|+C", "budget": 1332 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001126", "normalized_example_id": "ex_001126", "source_idx": 1126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2220, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-\\ln|x|+\\frac{1}{9}\\ln|x-4|-\\frac{1}{9}\\ln|x+5|+C", "budget": 1776 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001126", "normalized_example_id": "ex_001126", "source_idx": 1126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2220, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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-\\ln|x|+\\frac{1}{9}\\ln|x-4|-\\frac{1}{9}\\ln|x+5|+C", "budget": 2220 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001126", "normalized_example_id": "ex_001126", "source_idx": 1126, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2220, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 883 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001127", "normalized_example_id": "ex_001127", "source_idx": 1127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1471, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1177 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001127", "normalized_example_id": "ex_001127", "source_idx": 1127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1471, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1471 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001127", "normalized_example_id": "ex_001127", "source_idx": 1127, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1471, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{195}{512}", "budget": 2610 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001130", "normalized_example_id": "ex_001130", "source_idx": 1130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4350, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{195}{512}", "budget": 3480 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001130", "normalized_example_id": "ex_001130", "source_idx": 1130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4350, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{195}{512}", "budget": 4350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001130", "normalized_example_id": "ex_001130", "source_idx": 1130, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4350, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1720 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001132", "normalized_example_id": "ex_001132", "source_idx": 1132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2867, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001132", "normalized_example_id": "ex_001132", "source_idx": 1132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2867, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001132", "normalized_example_id": "ex_001132", "source_idx": 1132, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2867, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1832 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001133", "normalized_example_id": "ex_001133", "source_idx": 1133, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3054, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2443 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001133", "normalized_example_id": "ex_001133", "source_idx": 1133, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3054, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001133", "normalized_example_id": "ex_001133", "source_idx": 1133, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3054, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 3285 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001134", "normalized_example_id": "ex_001134", "source_idx": 1134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5475, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 4380 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001134", "normalized_example_id": "ex_001134", "source_idx": 1134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5475, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "135", "budget": 5475 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001134", "normalized_example_id": "ex_001134", "source_idx": 1134, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5475, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "120", "budget": 4949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001135", "normalized_example_id": "ex_001135", "source_idx": 1135, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8248, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "120", "budget": 6598 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001135", "normalized_example_id": "ex_001135", "source_idx": 1135, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8248, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "120", "budget": 8248 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001135", "normalized_example_id": "ex_001135", "source_idx": 1135, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8248, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4235 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001139", "normalized_example_id": "ex_001139", "source_idx": 1139, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7058, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5646 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001139", "normalized_example_id": "ex_001139", "source_idx": 1139, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7058, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7058 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001139", "normalized_example_id": "ex_001139", "source_idx": 1139, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7058, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "456", "budget": 961 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001143", "normalized_example_id": "ex_001143", "source_idx": 1143, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1602, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "456", "budget": 1282 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001143", "normalized_example_id": "ex_001143", "source_idx": 1143, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1602, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "456", "budget": 1602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001143", "normalized_example_id": "ex_001143", "source_idx": 1143, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1602, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5812 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001144", "normalized_example_id": "ex_001144", "source_idx": 1144, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7749 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001144", "normalized_example_id": "ex_001144", "source_idx": 1144, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001144", "normalized_example_id": "ex_001144", "source_idx": 1144, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{14}{33}", "budget": 1602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001145", "normalized_example_id": "ex_001145", "source_idx": 1145, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2670, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{14}{33}", "budget": 2136 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001145", "normalized_example_id": "ex_001145", "source_idx": 1145, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2670, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{14}{33}", "budget": 2670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001145", "normalized_example_id": "ex_001145", "source_idx": 1145, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2670, ...