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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": "625", "budget": 3033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003917", "normalized_example_id": "ex_003917", "source_idx": 3917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "625", "budget": 3791 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003917", "normalized_example_id": "ex_003917", "source_idx": 3917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3791, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{98}", "budget": 751 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003919", "normalized_example_id": "ex_003919", "source_idx": 3919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1252, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{98}", "budget": 1002 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003919", "normalized_example_id": "ex_003919", "source_idx": 3919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1252, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{98}", "budget": 1252 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003919", "normalized_example_id": "ex_003919", "source_idx": 3919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1252, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 2618 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003921", "normalized_example_id": "ex_003921", "source_idx": 3921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4364, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 3491 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003921", "normalized_example_id": "ex_003921", "source_idx": 3921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4364, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "300", "budget": 4364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003921", "normalized_example_id": "ex_003921", "source_idx": 3921, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4364, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "75", "budget": 2866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003929", "normalized_example_id": "ex_003929", "source_idx": 3929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4777, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "75", "budget": 3822 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003929", "normalized_example_id": "ex_003929", "source_idx": 3929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4777, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "75", "budget": 4777 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003929", "normalized_example_id": "ex_003929", "source_idx": 3929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4777, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{8}", "budget": 3131 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003930", "normalized_example_id": "ex_003930", "source_idx": 3930, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5219, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{8}", "budget": 4175 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003930", "normalized_example_id": "ex_003930", "source_idx": 3930, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5219, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{11}{8}", "budget": 5219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003930", "normalized_example_id": "ex_003930", "source_idx": 3930, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5219, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3547 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003938", "normalized_example_id": "ex_003938", "source_idx": 3938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5911, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4729 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003938", "normalized_example_id": "ex_003938", "source_idx": 3938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5911, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5911 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003938", "normalized_example_id": "ex_003938", "source_idx": 3938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5911, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 4527 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003939", "normalized_example_id": "ex_003939", "source_idx": 3939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 6036 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003939", "normalized_example_id": "ex_003939", "source_idx": 3939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 7545 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003939", "normalized_example_id": "ex_003939", "source_idx": 3939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7545, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "591 \\times 1990^{1989}", "budget": 4603 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003940", "normalized_example_id": "ex_003940", "source_idx": 3940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "591 \\times 1990^{1989}", "budget": 6138 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003940", "normalized_example_id": "ex_003940", "source_idx": 3940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "591 \\times 1990^{1989}", "budget": 7672 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003940", "normalized_example_id": "ex_003940", "source_idx": 3940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{78}{5}+\\frac{5}{2}\\ln5", "budget": 1844 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003943", "normalized_example_id": "ex_003943", "source_idx": 3943, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3074, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{78}{5}+\\frac{5}{2}\\ln5", "budget": 2459 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003943", "normalized_example_id": "ex_003943", "source_idx": 3943, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3074, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{78}{5}+\\frac{5}{2}\\ln5", "budget": 3074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003943", "normalized_example_id": "ex_003943", "source_idx": 3943, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3074, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5248 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003945", "normalized_example_id": "ex_003945", "source_idx": 3945, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8746, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6997 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003945", "normalized_example_id": "ex_003945", "source_idx": 3945, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8746, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8746 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003945", "normalized_example_id": "ex_003945", "source_idx": 3945, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8746, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{46}{169}", "budget": 5128 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003946", "normalized_example_id": "ex_003946", "source_idx": 3946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{46}{169}", "budget": 6838 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003946", "normalized_example_id": "ex_003946", "source_idx": 3946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{46}{169}", "budget": 8547 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003946", "normalized_example_id": "ex_003946", "source_idx": 3946, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8547, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45^\\circ", "budget": 2276 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003948", "normalized_example_id": "ex_003948", "source_idx": 3948, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3793, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45^\\circ", "budget": 3034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003948", "normalized_example_id": "ex_003948", "source_idx": 3948, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3793, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45^\\circ", "budget": 3793 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003948", "normalized_example_id": "ex_003948", "source_idx": 3948, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3793, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5n", "budget": 3553 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003949", "normalized_example_id": "ex_003949", "source_idx": 3949, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5922, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5n", "budget": 4738 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003949", "normalized_example_id": "ex_003949", "source_idx": 3949, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5922, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5n", "budget": 5922 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003949", "normalized_example_id": "ex_003949", "source_idx": 3949, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5922, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = c", "budget": 2830 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003950", "normalized_example_id": "ex_003950", "source_idx": 3950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = c", "budget": 3774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003950", "normalized_example_id": "ex_003950", "source_idx": 3950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = c", "budget": 4717 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003950", "normalized_example_id": "ex_003950", "source_idx": 3950, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4717, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "136", "budget": 1179 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003951", "normalized_example_id": "ex_003951", "source_idx": 3951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "136", "budget": 1572 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003951", "normalized_example_id": "ex_003951", "source_idx": 3951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "136", "budget": 1965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003951", "normalized_example_id": "ex_003951", "source_idx": 3951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3587 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003952", "normalized_example_id": "ex_003952", "source_idx": 3952, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003952", "normalized_example_id": "ex_003952", "source_idx": 3952, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003952", "normalized_example_id": "ex_003952", "source_idx": 3952, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5979, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.04", "budget": 1674 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003954", "normalized_example_id": "ex_003954", "source_idx": 3954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2790, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.04", "budget": 2232 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003954", "normalized_example_id": "ex_003954", "source_idx": 3954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2790, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.04", "budget": 2790 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003954", "normalized_example_id": "ex_003954", "source_idx": 3954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2790, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{4\\sqrt{x(1-x)}}", "budget": 3734 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003955", "normalized_example_id": "ex_003955", "source_idx": 3955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6224, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{4\\sqrt{x(1-x)}}", "budget": 4979 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003955", "normalized_example_id": "ex_003955", "source_idx": 3955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6224, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{4\\sqrt{x(1-x)}}", "budget": 6224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003955", "normalized_example_id": "ex_003955", "source_idx": 3955, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6224, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y_{1}=-2 x^{2}+4 x+3, y_{2}=3 x^{2}+12 x+10", "budget": 1966 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003958", "normalized_example_id": "ex_003958", "source_idx": 3958, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y_{1}=-2 x^{2}+4 x+3, y_{2}=3 x^{2}+12 x+10", "budget": 2621 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003958", "normalized_example_id": "ex_003958", "source_idx": 3958, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "y_{1}=-2 x^{2}+4 x+3, y_{2}=3 x^{2}+12 x+10", "budget": 3276 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003958", "normalized_example_id": "ex_003958", "source_idx": 3958, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3276, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2e^{2x}}{\\sqrt{1-e^{4x}}\\cdot\\arccos\\sqrt{1-e^{4x}}}", "budget": 2425 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003959", "normalized_example_id": "ex_003959", "source_idx": 3959, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4041, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2e^{2x}}{\\sqrt{1-e^{4x}}\\cdot\\arccos\\sqrt{1-e^{4x}}}", "budget": 3233 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003959", "normalized_example_id": "ex_003959", "source_idx": 3959, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4041, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2e^{2x}}{\\sqrt{1-e^{4x}}\\cdot\\arccos\\sqrt{1-e^{4x}}}", "budget": 4041 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003959", "normalized_example_id": "ex_003959", "source_idx": 3959, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4041, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "450", "budget": 2602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003962", "normalized_example_id": "ex_003962", "source_idx": 3962, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4336, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "450", "budget": 3469 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003962", "normalized_example_id": "ex_003962", "source_idx": 3962, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4336, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "450", "budget": 4336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003962", "normalized_example_id": "ex_003962", "source_idx": 3962, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4336, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\mathrm{~}^{2}", "budget": 2861 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003965", "normalized_example_id": "ex_003965", "source_idx": 3965, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4769, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\mathrm{~}^{2}", "budget": 3815 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003965", "normalized_example_id": "ex_003965", "source_idx": 3965, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4769, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\mathrm{~}^{2}", "budget": 4769 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003965", "normalized_example_id": "ex_003965", "source_idx": 3965, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4769, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 1750 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003966", "normalized_example_id": "ex_003966", "source_idx": 3966, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2916, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 2333 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003966", "normalized_example_id": "ex_003966", "source_idx": 3966, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2916, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "18", "budget": 2916 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003966", "normalized_example_id": "ex_003966", "source_idx": 3966, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2916, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "160", "budget": 3853 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003967", "normalized_example_id": "ex_003967", "source_idx": 3967, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6421, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "160", "budget": 5137 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003967", "normalized_example_id": "ex_003967", "source_idx": 3967, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6421, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "160", "budget": 6421 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003967", "normalized_example_id": "ex_003967", "source_idx": 3967, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6421, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2077 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003974", "normalized_example_id": "ex_003974", "source_idx": 3974, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2769 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003974", "normalized_example_id": "ex_003974", "source_idx": 3974, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3461 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003974", "normalized_example_id": "ex_003974", "source_idx": 3974, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3461, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3494 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003975", "normalized_example_id": "ex_003975", "source_idx": 3975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4659 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003975", "normalized_example_id": "ex_003975", "source_idx": 3975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003975", "normalized_example_id": "ex_003975", "source_idx": 3975, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003976", "normalized_example_id": "ex_003976", "source_idx": 3976, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3255, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003976", "normalized_example_id": "ex_003976", "source_idx": 3976, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3255, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 3255 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003976", "normalized_example_id": "ex_003976", "source_idx": 3976, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3255, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29145", "budget": 4704 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003983", "normalized_example_id": "ex_003983", "source_idx": 3983, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29145", "budget": 6272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003983", "normalized_example_id": "ex_003983", "source_idx": 3983, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29145", "budget": 7840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003983", "normalized_example_id": "ex_003983", "source_idx": 3983, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{A}=-5,x_{B}=3),(x_{A}=5,x_{B}=-3)", "budget": 2336 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003985", "normalized_example_id": "ex_003985", "source_idx": 3985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{A}=-5,x_{B}=3),(x_{A}=5,x_{B}=-3)", "budget": 3114 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003985", "normalized_example_id": "ex_003985", "source_idx": 3985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{A}=-5,x_{B}=3),(x_{A}=5,x_{B}=-3)", "budget": 3893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003985", "normalized_example_id": "ex_003985", "source_idx": 3985, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "181", "budget": 1510 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003986", "normalized_example_id": "ex_003986", "source_idx": 3986, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "181", "budget": 2013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003986", "normalized_example_id": "ex_003986", "source_idx": 3986, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "181", "budget": 2516 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003986", "normalized_example_id": "ex_003986", "source_idx": 3986, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2516, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "925", "budget": 1513 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003988", "normalized_example_id": "ex_003988", "source_idx": 3988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2521, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "925", "budget": 2017 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003988", "normalized_example_id": "ex_003988", "source_idx": 3988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2521, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "925", "budget": 2521 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003988", "normalized_example_id": "ex_003988", "source_idx": 3988, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2521, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt[4]{10}", "budget": 1772 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003991", "normalized_example_id": "ex_003991", "source_idx": 3991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2953, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt[4]{10}", "budget": 2362 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003991", "normalized_example_id": "ex_003991", "source_idx": 3991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2953, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt[4]{10}", "budget": 2953 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003991", "normalized_example_id": "ex_003991", "source_idx": 3991, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2953, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1517 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003994", "normalized_example_id": "ex_003994", "source_idx": 3994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2022 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003994", "normalized_example_id": "ex_003994", "source_idx": 3994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2528 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_003994", "normalized_example_id": "ex_003994", "source_idx": 3994, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2528, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "I_{2}", "budget": 1673 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004000", "normalized_example_id": "ex_004000", "source_idx": 4000, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2789, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "I_{2}", "budget": 2231 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004000", "normalized_example_id": "ex_004000", "source_idx": 4000, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2789, ...