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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": "-1,1,2", "budget": 4589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001335", "normalized_example_id": "ex_001335", "source_idx": 1335, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1,1,2", "budget": 6119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001335", "normalized_example_id": "ex_001335", "source_idx": 1335, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1,1,2", "budget": 7649 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001335", "normalized_example_id": "ex_001335", "source_idx": 1335, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{-x^{3}+x^{2}+1}{2 x(1-x)}", "budget": 2371 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001336", "normalized_example_id": "ex_001336", "source_idx": 1336, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{-x^{3}+x^{2}+1}{2 x(1-x)}", "budget": 3161 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001336", "normalized_example_id": "ex_001336", "source_idx": 1336, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{-x^{3}+x^{2}+1}{2 x(1-x)}", "budget": 3951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001336", "normalized_example_id": "ex_001336", "source_idx": 1336, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,4),(4,1),(5,5)", "budget": 3613 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001340", "normalized_example_id": "ex_001340", "source_idx": 1340, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,4),(4,1),(5,5)", "budget": 4818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001340", "normalized_example_id": "ex_001340", "source_idx": 1340, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,4),(4,1),(5,5)", "budget": 6022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001340", "normalized_example_id": "ex_001340", "source_idx": 1340, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6022, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4a", "budget": 1093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001343", "normalized_example_id": "ex_001343", "source_idx": 1343, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1821, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4a", "budget": 1457 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001343", "normalized_example_id": "ex_001343", "source_idx": 1343, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1821, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4a", "budget": 1821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001343", "normalized_example_id": "ex_001343", "source_idx": 1343, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1821, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 3484 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001344", "normalized_example_id": "ex_001344", "source_idx": 1344, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 4645 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001344", "normalized_example_id": "ex_001344", "source_idx": 1344, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}", "budget": 5806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001344", "normalized_example_id": "ex_001344", "source_idx": 1344, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5806, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0-4)^2<15.917", "budget": 4981 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001345", "normalized_example_id": "ex_001345", "source_idx": 1345, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0-4)^2<15.917", "budget": 6641 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001345", "normalized_example_id": "ex_001345", "source_idx": 1345, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0-4)^2<15.917", "budget": 8301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001345", "normalized_example_id": "ex_001345", "source_idx": 1345, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 6087 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001346", "normalized_example_id": "ex_001346", "source_idx": 1346, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10145, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 8116 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001346", "normalized_example_id": "ex_001346", "source_idx": 1346, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10145, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 10145 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001346", "normalized_example_id": "ex_001346", "source_idx": 1346, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10145, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2021", "budget": 4223 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001347", "normalized_example_id": "ex_001347", "source_idx": 1347, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2021", "budget": 5631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001347", "normalized_example_id": "ex_001347", "source_idx": 1347, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2021", "budget": 7039 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001347", "normalized_example_id": "ex_001347", "source_idx": 1347, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "448", "budget": 3019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001349", "normalized_example_id": "ex_001349", "source_idx": 1349, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "448", "budget": 4025 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001349", "normalized_example_id": "ex_001349", "source_idx": 1349, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "448", "budget": 5031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001349", "normalized_example_id": "ex_001349", "source_idx": 1349, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5031, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10^{\\circ}", "budget": 4375 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001351", "normalized_example_id": "ex_001351", "source_idx": 1351, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7291, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10^{\\circ}", "budget": 5833 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001351", "normalized_example_id": "ex_001351", "source_idx": 1351, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7291, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10^{\\circ}", "budget": 7291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001351", "normalized_example_id": "ex_001351", "source_idx": 1351, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7291, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(n)=n+k", "budget": 2834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001352", "normalized_example_id": "ex_001352", "source_idx": 1352, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(n)=n+k", "budget": 3778 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001352", "normalized_example_id": "ex_001352", "source_idx": 1352, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(n)=n+k", "budget": 4723 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001352", "normalized_example_id": "ex_001352", "source_idx": 1352, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\frac{1}{2}", "budget": 4429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001353", "normalized_example_id": "ex_001353", "source_idx": 1353, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7381, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\frac{1}{2}", "budget": 5905 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001353", "normalized_example_id": "ex_001353", "source_idx": 1353, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7381, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=\\frac{1}{2}", "budget": 7381 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001353", "normalized_example_id": "ex_001353", "source_idx": 1353, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7381, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "89", "budget": 4270 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001354", "normalized_example_id": "ex_001354", "source_idx": 1354, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7117, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "89", "budget": 5694 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001354", "normalized_example_id": "ex_001354", "source_idx": 1354, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7117, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "89", "budget": 7117 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001354", "normalized_example_id": "ex_001354", "source_idx": 1354, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7117, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1;2;3)", "budget": 5536 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001356", "normalized_example_id": "ex_001356", "source_idx": 1356, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9227, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1;2;3)", "budget": 7382 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001356", "normalized_example_id": "ex_001356", "source_idx": 1356, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9227, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1;2;3)", "budget": 9227 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001356", "normalized_example_id": "ex_001356", "source_idx": 1356, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9227, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "121", "budget": 2365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001357", "normalized_example_id": "ex_001357", "source_idx": 1357, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "121", "budget": 3154 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001357", "normalized_example_id": "ex_001357", "source_idx": 1357, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "121", "budget": 3942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001357", "normalized_example_id": "ex_001357", "source_idx": 1357, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 3284 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001358", "normalized_example_id": "ex_001358", "source_idx": 1358, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5473, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 4378 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001358", "normalized_example_id": "ex_001358", "source_idx": 1358, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5473, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 5473 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001358", "normalized_example_id": "ex_001358", "source_idx": 1358, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5473, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14080", "budget": 4259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001362", "normalized_example_id": "ex_001362", "source_idx": 1362, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7099, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14080", "budget": 5679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001362", "normalized_example_id": "ex_001362", "source_idx": 1362, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7099, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14080", "budget": 7099 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001362", "normalized_example_id": "ex_001362", "source_idx": 1362, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7099, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1097 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001364", "normalized_example_id": "ex_001364", "source_idx": 1364, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1829, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1463 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001364", "normalized_example_id": "ex_001364", "source_idx": 1364, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1829, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 1829 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001364", "normalized_example_id": "ex_001364", "source_idx": 1364, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1829, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4015440", "budget": 1406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001366", "normalized_example_id": "ex_001366", "source_idx": 1366, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2344, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4015440", "budget": 1875 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001366", "normalized_example_id": "ex_001366", "source_idx": 1366, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2344, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4015440", "budget": 2344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001366", "normalized_example_id": "ex_001366", "source_idx": 1366, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2344, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 868 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001368", "normalized_example_id": "ex_001368", "source_idx": 1368, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 1157 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001368", "normalized_example_id": "ex_001368", "source_idx": 1368, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 1446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001368", "normalized_example_id": "ex_001368", "source_idx": 1368, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}+\\sqrt{3}", "budget": 1765 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001369", "normalized_example_id": "ex_001369", "source_idx": 1369, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}+\\sqrt{3}", "budget": 2354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001369", "normalized_example_id": "ex_001369", "source_idx": 1369, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}+\\sqrt{3}", "budget": 2942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001369", "normalized_example_id": "ex_001369", "source_idx": 1369, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64,108,288,864,1728,10368", "budget": 2917 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001372", "normalized_example_id": "ex_001372", "source_idx": 1372, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4862, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64,108,288,864,1728,10368", "budget": 3890 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001372", "normalized_example_id": "ex_001372", "source_idx": 1372, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4862, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "64,108,288,864,1728,10368", "budget": 4862 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001372", "normalized_example_id": "ex_001372", "source_idx": 1372, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4862, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "102", "budget": 4127 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001375", "normalized_example_id": "ex_001375", "source_idx": 1375, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6878, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "102", "budget": 5502 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001375", "normalized_example_id": "ex_001375", "source_idx": 1375, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6878, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "102", "budget": 6878 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001375", "normalized_example_id": "ex_001375", "source_idx": 1375, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6878, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 3161 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001376", "normalized_example_id": "ex_001376", "source_idx": 1376, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 4215 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001376", "normalized_example_id": "ex_001376", "source_idx": 1376, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 5269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001376", "normalized_example_id": "ex_001376", "source_idx": 1376, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5269, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27633", "budget": 3626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001377", "normalized_example_id": "ex_001377", "source_idx": 1377, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27633", "budget": 4835 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001377", "normalized_example_id": "ex_001377", "source_idx": 1377, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27633", "budget": 6044 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001377", "normalized_example_id": "ex_001377", "source_idx": 1377, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 4814 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001378", "normalized_example_id": "ex_001378", "source_idx": 1378, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8023, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 6418 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001378", "normalized_example_id": "ex_001378", "source_idx": 1378, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8023, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 8023 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001378", "normalized_example_id": "ex_001378", "source_idx": 1378, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8023, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10}{27}", "budget": 4168 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001381", "normalized_example_id": "ex_001381", "source_idx": 1381, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10}{27}", "budget": 5557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001381", "normalized_example_id": "ex_001381", "source_idx": 1381, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{10}{27}", "budget": 6946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001381", "normalized_example_id": "ex_001381", "source_idx": 1381, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\frac{14}{41}", "budget": 3290 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001382", "normalized_example_id": "ex_001382", "source_idx": 1382, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5484, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\frac{14}{41}", "budget": 4387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001382", "normalized_example_id": "ex_001382", "source_idx": 1382, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5484, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\frac{14}{41}", "budget": 5484 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001382", "normalized_example_id": "ex_001382", "source_idx": 1382, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5484, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9802", "budget": 3461 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001383", "normalized_example_id": "ex_001383", "source_idx": 1383, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5768, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9802", "budget": 4614 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001383", "normalized_example_id": "ex_001383", "source_idx": 1383, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5768, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9802", "budget": 5768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001383", "normalized_example_id": "ex_001383", "source_idx": 1383, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5768, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 627 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001384", "normalized_example_id": "ex_001384", "source_idx": 1384, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1045, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 836 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001384", "normalized_example_id": "ex_001384", "source_idx": 1384, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1045, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "13", "budget": 1045 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001384", "normalized_example_id": "ex_001384", "source_idx": 1384, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1045, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{8}", "budget": 4105 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001387", "normalized_example_id": "ex_001387", "source_idx": 1387, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6841, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{8}", "budget": 5473 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001387", "normalized_example_id": "ex_001387", "source_idx": 1387, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6841, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{8}", "budget": 6841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001387", "normalized_example_id": "ex_001387", "source_idx": 1387, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6841, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4277 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001388", "normalized_example_id": "ex_001388", "source_idx": 1388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7128, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5702 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001388", "normalized_example_id": "ex_001388", "source_idx": 1388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7128, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7128 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001388", "normalized_example_id": "ex_001388", "source_idx": 1388, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7128, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 2009 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001389", "normalized_example_id": "ex_001389", "source_idx": 1389, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3348, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 2678 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001389", "normalized_example_id": "ex_001389", "source_idx": 1389, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3348, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 3348 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001389", "normalized_example_id": "ex_001389", "source_idx": 1389, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3348, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1606 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001390", "normalized_example_id": "ex_001390", "source_idx": 1390, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2676, ...