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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": "-3", "budget": 2896 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005433", "normalized_example_id": "ex_005433", "source_idx": 5433, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2896, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 961 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005434", "normalized_example_id": "ex_005434", "source_idx": 5434, "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": "15", "budget": 1282 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005434", "normalized_example_id": "ex_005434", "source_idx": 5434, "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": "15", "budget": 1602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005434", "normalized_example_id": "ex_005434", "source_idx": 5434, "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": "160", "budget": 5350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005436", "normalized_example_id": "ex_005436", "source_idx": 5436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8916, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "160", "budget": 7133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005436", "normalized_example_id": "ex_005436", "source_idx": 5436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8916, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "160", "budget": 8916 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005436", "normalized_example_id": "ex_005436", "source_idx": 5436, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8916, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "132", "budget": 2525 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005437", "normalized_example_id": "ex_005437", "source_idx": 5437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4208, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "132", "budget": 3366 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005437", "normalized_example_id": "ex_005437", "source_idx": 5437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4208, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "132", "budget": 4208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005437", "normalized_example_id": "ex_005437", "source_idx": 5437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4208, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "324", "budget": 2894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005438", "normalized_example_id": "ex_005438", "source_idx": 5438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4823, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "324", "budget": 3858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005438", "normalized_example_id": "ex_005438", "source_idx": 5438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4823, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "324", "budget": 4823 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005438", "normalized_example_id": "ex_005438", "source_idx": 5438, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4823, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4438 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005442", "normalized_example_id": "ex_005442", "source_idx": 5442, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5917 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005442", "normalized_example_id": "ex_005442", "source_idx": 5442, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7396 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005442", "normalized_example_id": "ex_005442", "source_idx": 5442, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7396, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4399 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005445", "normalized_example_id": "ex_005445", "source_idx": 5445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5865 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005445", "normalized_example_id": "ex_005445", "source_idx": 5445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7331 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005445", "normalized_example_id": "ex_005445", "source_idx": 5445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7331, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1884 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005446", "normalized_example_id": "ex_005446", "source_idx": 5446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3140, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2512 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005446", "normalized_example_id": "ex_005446", "source_idx": 5446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3140, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3140 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005446", "normalized_example_id": "ex_005446", "source_idx": 5446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3140, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005447", "normalized_example_id": "ex_005447", "source_idx": 5447, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2711 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005447", "normalized_example_id": "ex_005447", "source_idx": 5447, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005447", "normalized_example_id": "ex_005447", "source_idx": 5447, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(p, p), (p^2 - p, p), (2p^2 - p, p)", "budget": 3902 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005448", "normalized_example_id": "ex_005448", "source_idx": 5448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6503, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(p, p), (p^2 - p, p), (2p^2 - p, p)", "budget": 5202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005448", "normalized_example_id": "ex_005448", "source_idx": 5448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6503, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(p, p), (p^2 - p, p), (2p^2 - p, p)", "budget": 6503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005448", "normalized_example_id": "ex_005448", "source_idx": 5448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6503, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 4549 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005449", "normalized_example_id": "ex_005449", "source_idx": 5449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7582, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 6066 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005449", "normalized_example_id": "ex_005449", "source_idx": 5449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7582, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 7582 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005449", "normalized_example_id": "ex_005449", "source_idx": 5449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7582, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2059 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005450", "normalized_example_id": "ex_005450", "source_idx": 5450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3432, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2746 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005450", "normalized_example_id": "ex_005450", "source_idx": 5450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3432, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3432 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005450", "normalized_example_id": "ex_005450", "source_idx": 5450, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3432, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5997", "budget": 1910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005456", "normalized_example_id": "ex_005456", "source_idx": 5456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3183, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5997", "budget": 2546 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005456", "normalized_example_id": "ex_005456", "source_idx": 5456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3183, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5997", "budget": 3183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005456", "normalized_example_id": "ex_005456", "source_idx": 5456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3183, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 2392 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005457", "normalized_example_id": "ex_005457", "source_idx": 5457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3987, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3190 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005457", "normalized_example_id": "ex_005457", "source_idx": 5457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3987, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3987 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005457", "normalized_example_id": "ex_005457", "source_idx": 5457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3987, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3249", "budget": 980 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005461", "normalized_example_id": "ex_005461", "source_idx": 5461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1633, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3249", "budget": 1306 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005461", "normalized_example_id": "ex_005461", "source_idx": 5461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1633, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3249", "budget": 1633 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005461", "normalized_example_id": "ex_005461", "source_idx": 5461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1633, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "179", "budget": 4175 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005462", "normalized_example_id": "ex_005462", "source_idx": 5462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6958, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "179", "budget": 5566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005462", "normalized_example_id": "ex_005462", "source_idx": 5462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6958, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "179", "budget": 6958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005462", "normalized_example_id": "ex_005462", "source_idx": 5462, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6958, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1752 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005463", "normalized_example_id": "ex_005463", "source_idx": 5463, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2920, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005463", "normalized_example_id": "ex_005463", "source_idx": 5463, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2920, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005463", "normalized_example_id": "ex_005463", "source_idx": 5463, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2920, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{4\\sqrt{2}}{3}", "budget": 5510 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005465", "normalized_example_id": "ex_005465", "source_idx": 5465, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{4\\sqrt{2}}{3}", "budget": 7347 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005465", "normalized_example_id": "ex_005465", "source_idx": 5465, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{4\\sqrt{2}}{3}", "budget": 9184 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005465", "normalized_example_id": "ex_005465", "source_idx": 5465, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3\\pi}{2}+2k\\pi", "budget": 4022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005467", "normalized_example_id": "ex_005467", "source_idx": 5467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6703, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3\\pi}{2}+2k\\pi", "budget": 5362 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005467", "normalized_example_id": "ex_005467", "source_idx": 5467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6703, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3\\pi}{2}+2k\\pi", "budget": 6703 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005467", "normalized_example_id": "ex_005467", "source_idx": 5467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6703, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=2,3,4,6,8,12,24", "budget": 5042 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005468", "normalized_example_id": "ex_005468", "source_idx": 5468, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8403, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=2,3,4,6,8,12,24", "budget": 6722 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005468", "normalized_example_id": "ex_005468", "source_idx": 5468, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8403, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=2,3,4,6,8,12,24", "budget": 8403 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005468", "normalized_example_id": "ex_005468", "source_idx": 5468, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8403, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 4178 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005470", "normalized_example_id": "ex_005470", "source_idx": 5470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6963, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 5570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005470", "normalized_example_id": "ex_005470", "source_idx": 5470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6963, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 6963 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005470", "normalized_example_id": "ex_005470", "source_idx": 5470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6963, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 3653 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005471", "normalized_example_id": "ex_005471", "source_idx": 5471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6088, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 4870 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005471", "normalized_example_id": "ex_005471", "source_idx": 5471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6088, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 6088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005471", "normalized_example_id": "ex_005471", "source_idx": 5471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6088, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1100", "budget": 1627 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005472", "normalized_example_id": "ex_005472", "source_idx": 5472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2711, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1100", "budget": 2169 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005472", "normalized_example_id": "ex_005472", "source_idx": 5472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2711, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1100", "budget": 2711 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005472", "normalized_example_id": "ex_005472", "source_idx": 5472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2711, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, b, c) = (a, a, -a)", "budget": 4322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005473", "normalized_example_id": "ex_005473", "source_idx": 5473, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7203, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, b, c) = (a, a, -a)", "budget": 5762 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005473", "normalized_example_id": "ex_005473", "source_idx": 5473, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7203, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, b, c) = (a, a, -a)", "budget": 7203 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005473", "normalized_example_id": "ex_005473", "source_idx": 5473, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7203, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 1568 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005474", "normalized_example_id": "ex_005474", "source_idx": 5474, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2613, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 2090 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005474", "normalized_example_id": "ex_005474", "source_idx": 5474, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2613, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 2613 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005474", "normalized_example_id": "ex_005474", "source_idx": 5474, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2613, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 1081 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005477", "normalized_example_id": "ex_005477", "source_idx": 5477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1802, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 1442 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005477", "normalized_example_id": "ex_005477", "source_idx": 5477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1802, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 1802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005477", "normalized_example_id": "ex_005477", "source_idx": 5477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1802, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-1", "budget": 3193 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005480", "normalized_example_id": "ex_005480", "source_idx": 5480, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5322, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-1", "budget": 4258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005480", "normalized_example_id": "ex_005480", "source_idx": 5480, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5322, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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,-1", "budget": 5322 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005480", "normalized_example_id": "ex_005480", "source_idx": 5480, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5322, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "437844", "budget": 2798 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005481", "normalized_example_id": "ex_005481", "source_idx": 5481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4664, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "437844", "budget": 3731 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005481", "normalized_example_id": "ex_005481", "source_idx": 5481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4664, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "437844", "budget": 4664 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005481", "normalized_example_id": "ex_005481", "source_idx": 5481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4664, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Thursday", "budget": 660 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005482", "normalized_example_id": "ex_005482", "source_idx": 5482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1100, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Thursday", "budget": 880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005482", "normalized_example_id": "ex_005482", "source_idx": 5482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1100, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Thursday", "budget": 1100 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005482", "normalized_example_id": "ex_005482", "source_idx": 5482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1100, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=5,a_1=7", "budget": 726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005484", "normalized_example_id": "ex_005484", "source_idx": 5484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1210, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=5,a_1=7", "budget": 968 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005484", "normalized_example_id": "ex_005484", "source_idx": 5484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1210, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=5,a_1=7", "budget": 1210 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005484", "normalized_example_id": "ex_005484", "source_idx": 5484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1210, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2^{n}}{n+1}", "budget": 4570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005487", "normalized_example_id": "ex_005487", "source_idx": 5487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2^{n}}{n+1}", "budget": 6094 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005487", "normalized_example_id": "ex_005487", "source_idx": 5487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{2^{n}}{n+1}", "budget": 7617 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005487", "normalized_example_id": "ex_005487", "source_idx": 5487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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},2)", "budget": 5789 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005488", "normalized_example_id": "ex_005488", "source_idx": 5488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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},2)", "budget": 7719 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005488", "normalized_example_id": "ex_005488", "source_idx": 5488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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},2)", "budget": 9649 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005488", "normalized_example_id": "ex_005488", "source_idx": 5488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 4900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005489", "normalized_example_id": "ex_005489", "source_idx": 5489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8167, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 6534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005489", "normalized_example_id": "ex_005489", "source_idx": 5489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8167, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 8167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005489", "normalized_example_id": "ex_005489", "source_idx": 5489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8167, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\in(-\\infty;-12)\\cup(4;+\\infty)", "budget": 3546 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005491", "normalized_example_id": "ex_005491", "source_idx": 5491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5910, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\in(-\\infty;-12)\\cup(4;+\\infty)", "budget": 4728 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005491", "normalized_example_id": "ex_005491", "source_idx": 5491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5910, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\in(-\\infty;-12)\\cup(4;+\\infty)", "budget": 5910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005491", "normalized_example_id": "ex_005491", "source_idx": 5491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5910, ...