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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": "2500", "budget": 3536 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001938", "normalized_example_id": "ex_001938", "source_idx": 1938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4420, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2500", "budget": 4420 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001938", "normalized_example_id": "ex_001938", "source_idx": 1938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4420, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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<\\nu<15", "budget": 1623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001939", "normalized_example_id": "ex_001939", "source_idx": 1939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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<\\nu<15", "budget": 2164 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001939", "normalized_example_id": "ex_001939", "source_idx": 1939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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<\\nu<15", "budget": 2705 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001939", "normalized_example_id": "ex_001939", "source_idx": 1939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\lny+\\frac{1}{3}(y^{2}+1)^{3/2}=C", "budget": 1400 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001941", "normalized_example_id": "ex_001941", "source_idx": 1941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\lny+\\frac{1}{3}(y^{2}+1)^{3/2}=C", "budget": 1867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001941", "normalized_example_id": "ex_001941", "source_idx": 1941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\lny+\\frac{1}{3}(y^{2}+1)^{3/2}=C", "budget": 2334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001941", "normalized_example_id": "ex_001941", "source_idx": 1941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2334, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001942", "normalized_example_id": "ex_001942", "source_idx": 1942, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001942", "normalized_example_id": "ex_001942", "source_idx": 1942, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001942", "normalized_example_id": "ex_001942", "source_idx": 1942, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1431 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001946", "normalized_example_id": "ex_001946", "source_idx": 1946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1908 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001946", "normalized_example_id": "ex_001946", "source_idx": 1946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001946", "normalized_example_id": "ex_001946", "source_idx": 1946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2500", "budget": 898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001947", "normalized_example_id": "ex_001947", "source_idx": 1947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1496, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2500", "budget": 1197 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001947", "normalized_example_id": "ex_001947", "source_idx": 1947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1496, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2500", "budget": 1496 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001947", "normalized_example_id": "ex_001947", "source_idx": 1947, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1496, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "648", "budget": 1042 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001948", "normalized_example_id": "ex_001948", "source_idx": 1948, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "648", "budget": 1389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001948", "normalized_example_id": "ex_001948", "source_idx": 1948, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "648", "budget": 1736 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001948", "normalized_example_id": "ex_001948", "source_idx": 1948, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1736, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14,23,28", "budget": 2619 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001953", "normalized_example_id": "ex_001953", "source_idx": 1953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14,23,28", "budget": 3492 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001953", "normalized_example_id": "ex_001953", "source_idx": 1953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14,23,28", "budget": 4365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001953", "normalized_example_id": "ex_001953", "source_idx": 1953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "52\\mathrm{~}", "budget": 4828 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001955", "normalized_example_id": "ex_001955", "source_idx": 1955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8046, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "52\\mathrm{~}", "budget": 6437 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001955", "normalized_example_id": "ex_001955", "source_idx": 1955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8046, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "52\\mathrm{~}", "budget": 8046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001955", "normalized_example_id": "ex_001955", "source_idx": 1955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8046, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=13,y=10", "budget": 954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001956", "normalized_example_id": "ex_001956", "source_idx": 1956, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1590, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=13,y=10", "budget": 1272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001956", "normalized_example_id": "ex_001956", "source_idx": 1956, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1590, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=13,y=10", "budget": 1590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001956", "normalized_example_id": "ex_001956", "source_idx": 1956, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1590, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "94", "budget": 1033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001957", "normalized_example_id": "ex_001957", "source_idx": 1957, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1721, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "94", "budget": 1377 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001957", "normalized_example_id": "ex_001957", "source_idx": 1957, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1721, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "94", "budget": 1721 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001957", "normalized_example_id": "ex_001957", "source_idx": 1957, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1721, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{3}{4}", "budget": 2692 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001960", "normalized_example_id": "ex_001960", "source_idx": 1960, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4486, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{3}{4}", "budget": 3589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001960", "normalized_example_id": "ex_001960", "source_idx": 1960, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4486, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\frac{3}{4}", "budget": 4486 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001960", "normalized_example_id": "ex_001960", "source_idx": 1960, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4486, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "490", "budget": 3073 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001961", "normalized_example_id": "ex_001961", "source_idx": 1961, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5121, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "490", "budget": 4097 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001961", "normalized_example_id": "ex_001961", "source_idx": 1961, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5121, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "490", "budget": 5121 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001961", "normalized_example_id": "ex_001961", "source_idx": 1961, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5121, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2400", "budget": 1700 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001962", "normalized_example_id": "ex_001962", "source_idx": 1962, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2833, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2400", "budget": 2266 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001962", "normalized_example_id": "ex_001962", "source_idx": 1962, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2833, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2400", "budget": 2833 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001962", "normalized_example_id": "ex_001962", "source_idx": 1962, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2833, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,2),(6,2)", "budget": 5182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001963", "normalized_example_id": "ex_001963", "source_idx": 1963, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8637, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,2),(6,2)", "budget": 6910 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001963", "normalized_example_id": "ex_001963", "source_idx": 1963, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8637, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,2),(6,2)", "budget": 8637 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001963", "normalized_example_id": "ex_001963", "source_idx": 1963, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8637, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2024 \\frac{3}{4}", "budget": 4660 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001965", "normalized_example_id": "ex_001965", "source_idx": 1965, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7766, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2024 \\frac{3}{4}", "budget": 6213 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001965", "normalized_example_id": "ex_001965", "source_idx": 1965, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7766, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2024 \\frac{3}{4}", "budget": 7766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001965", "normalized_example_id": "ex_001965", "source_idx": 1965, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7766, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}(\\sqrt{8n+1}-1)]", "budget": 2510 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001968", "normalized_example_id": "ex_001968", "source_idx": 1968, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}(\\sqrt{8n+1}-1)]", "budget": 3347 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001968", "normalized_example_id": "ex_001968", "source_idx": 1968, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}(\\sqrt{8n+1}-1)]", "budget": 4184 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001968", "normalized_example_id": "ex_001968", "source_idx": 1968, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4184, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001969", "normalized_example_id": "ex_001969", "source_idx": 1969, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 1021 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001969", "normalized_example_id": "ex_001969", "source_idx": 1969, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "48", "budget": 1276 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001969", "normalized_example_id": "ex_001969", "source_idx": 1969, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;4)", "budget": 4071 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001971", "normalized_example_id": "ex_001971", "source_idx": 1971, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;4)", "budget": 5428 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001971", "normalized_example_id": "ex_001971", "source_idx": 1971, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;4)", "budget": 6785 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001971", "normalized_example_id": "ex_001971", "source_idx": 1971, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6785, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "106", "budget": 3278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001973", "normalized_example_id": "ex_001973", "source_idx": 1973, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5464, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "106", "budget": 4371 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001973", "normalized_example_id": "ex_001973", "source_idx": 1973, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5464, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "106", "budget": 5464 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001973", "normalized_example_id": "ex_001973", "source_idx": 1973, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5464, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "155", "budget": 1885 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001975", "normalized_example_id": "ex_001975", "source_idx": 1975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3142, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "155", "budget": 2514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001975", "normalized_example_id": "ex_001975", "source_idx": 1975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3142, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "155", "budget": 3142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001975", "normalized_example_id": "ex_001975", "source_idx": 1975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3142, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "66", "budget": 1055 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001977", "normalized_example_id": "ex_001977", "source_idx": 1977, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1758, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "66", "budget": 1406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001977", "normalized_example_id": "ex_001977", "source_idx": 1977, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1758, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "66", "budget": 1758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001977", "normalized_example_id": "ex_001977", "source_idx": 1977, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1758, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80,98", "budget": 2315 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001978", "normalized_example_id": "ex_001978", "source_idx": 1978, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80,98", "budget": 3086 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001978", "normalized_example_id": "ex_001978", "source_idx": 1978, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "80,98", "budget": 3858 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001978", "normalized_example_id": "ex_001978", "source_idx": 1978, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3858, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{e^{x}}{e^{2x}-6e^{x}+13}", "budget": 1547 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001979", "normalized_example_id": "ex_001979", "source_idx": 1979, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{e^{x}}{e^{2x}-6e^{x}+13}", "budget": 2063 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001979", "normalized_example_id": "ex_001979", "source_idx": 1979, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{e^{x}}{e^{2x}-6e^{x}+13}", "budget": 2579 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001979", "normalized_example_id": "ex_001979", "source_idx": 1979, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001982", "normalized_example_id": "ex_001982", "source_idx": 1982, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6097, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4878 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001982", "normalized_example_id": "ex_001982", "source_idx": 1982, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6097, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6097 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001982", "normalized_example_id": "ex_001982", "source_idx": 1982, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6097, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "570", "budget": 2686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001985", "normalized_example_id": "ex_001985", "source_idx": 1985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4476, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "570", "budget": 3581 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001985", "normalized_example_id": "ex_001985", "source_idx": 1985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4476, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "570", "budget": 4476 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001985", "normalized_example_id": "ex_001985", "source_idx": 1985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4476, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1200", "budget": 3254 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001988", "normalized_example_id": "ex_001988", "source_idx": 1988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1200", "budget": 4339 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001988", "normalized_example_id": "ex_001988", "source_idx": 1988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1200", "budget": 5424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001988", "normalized_example_id": "ex_001988", "source_idx": 1988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3775", "budget": 893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001990", "normalized_example_id": "ex_001990", "source_idx": 1990, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1489, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3775", "budget": 1191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001990", "normalized_example_id": "ex_001990", "source_idx": 1990, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1489, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3775", "budget": 1489 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001990", "normalized_example_id": "ex_001990", "source_idx": 1990, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1489, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9:10", "budget": 5067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001991", "normalized_example_id": "ex_001991", "source_idx": 1991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9:10", "budget": 6756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001991", "normalized_example_id": "ex_001991", "source_idx": 1991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9:10", "budget": 8445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001991", "normalized_example_id": "ex_001991", "source_idx": 1991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 (-1)^n n! + 1", "budget": 3918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001994", "normalized_example_id": "ex_001994", "source_idx": 1994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6530, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 (-1)^n n! + 1", "budget": 5224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001994", "normalized_example_id": "ex_001994", "source_idx": 1994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6530, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 (-1)^n n! + 1", "budget": 6530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001994", "normalized_example_id": "ex_001994", "source_idx": 1994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6530, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3016 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001995", "normalized_example_id": "ex_001995", "source_idx": 1995, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5026, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4021 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001995", "normalized_example_id": "ex_001995", "source_idx": 1995, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5026, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001995", "normalized_example_id": "ex_001995", "source_idx": 1995, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5026, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1151 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001997", "normalized_example_id": "ex_001997", "source_idx": 1997, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001997", "normalized_example_id": "ex_001997", "source_idx": 1997, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001997", "normalized_example_id": "ex_001997", "source_idx": 1997, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 1670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001998", "normalized_example_id": "ex_001998", "source_idx": 1998, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 2226 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001998", "normalized_example_id": "ex_001998", "source_idx": 1998, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27", "budget": 2783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001998", "normalized_example_id": "ex_001998", "source_idx": 1998, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\text{B}", "budget": 3524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002001", "normalized_example_id": "ex_002001", "source_idx": 2001, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5873, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\text{B}", "budget": 4698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_002001", "normalized_example_id": "ex_002001", "source_idx": 2001, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5873, ...