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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": "4:3", "budget": 2487 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005895", "normalized_example_id": "ex_005895", "source_idx": 5895, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4:3", "budget": 3109 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005895", "normalized_example_id": "ex_005895", "source_idx": 5895, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3109, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 1623 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005896", "normalized_example_id": "ex_005896", "source_idx": 5896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 2164 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005896", "normalized_example_id": "ex_005896", "source_idx": 5896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 2705 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005896", "normalized_example_id": "ex_005896", "source_idx": 5896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2705, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0\\leqslantx<y\\leqslant\\pi", "budget": 2224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005899", "normalized_example_id": "ex_005899", "source_idx": 5899, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3706, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslantx<y\\leqslant\\pi", "budget": 2965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005899", "normalized_example_id": "ex_005899", "source_idx": 5899, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3706, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslantx<y\\leqslant\\pi", "budget": 3706 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005899", "normalized_example_id": "ex_005899", "source_idx": 5899, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3706, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(2,1),(4,2)", "budget": 3183 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005900", "normalized_example_id": "ex_005900", "source_idx": 5900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5305, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(2,1),(4,2)", "budget": 4244 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005900", "normalized_example_id": "ex_005900", "source_idx": 5900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5305, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(2,1),(4,2)", "budget": 5305 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005900", "normalized_example_id": "ex_005900", "source_idx": 5900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5305, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{1}{x}", "budget": 5920 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005902", "normalized_example_id": "ex_005902", "source_idx": 5902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9867, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{1}{x}", "budget": 7894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005902", "normalized_example_id": "ex_005902", "source_idx": 5902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9867, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=\\frac{1}{x}", "budget": 9867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005902", "normalized_example_id": "ex_005902", "source_idx": 5902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9867, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^{2}+y^{2}=9", "budget": 2436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005904", "normalized_example_id": "ex_005904", "source_idx": 5904, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4060, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^{2}+y^{2}=9", "budget": 3248 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005904", "normalized_example_id": "ex_005904", "source_idx": 5904, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4060, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x^{2}+y^{2}=9", "budget": 4060 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005904", "normalized_example_id": "ex_005904", "source_idx": 5904, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4060, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "528", "budget": 1923 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005906", "normalized_example_id": "ex_005906", "source_idx": 5906, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "528", "budget": 2564 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005906", "normalized_example_id": "ex_005906", "source_idx": 5906, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "528", "budget": 3205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005906", "normalized_example_id": "ex_005906", "source_idx": 5906, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 4723 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005907", "normalized_example_id": "ex_005907", "source_idx": 5907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 6298 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005907", "normalized_example_id": "ex_005907", "source_idx": 5907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 7872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005907", "normalized_example_id": "ex_005907", "source_idx": 5907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7872, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 3745 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005908", "normalized_example_id": "ex_005908", "source_idx": 5908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6241, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 4993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005908", "normalized_example_id": "ex_005908", "source_idx": 5908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6241, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2", "budget": 6241 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005908", "normalized_example_id": "ex_005908", "source_idx": 5908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6241, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}", "budget": 2462 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005910", "normalized_example_id": "ex_005910", "source_idx": 5910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}", "budget": 3283 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005910", "normalized_example_id": "ex_005910", "source_idx": 5910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{6}", "budget": 4104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005910", "normalized_example_id": "ex_005910", "source_idx": 5910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4104, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.0625", "budget": 1883 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005911", "normalized_example_id": "ex_005911", "source_idx": 5911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3139, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.0625", "budget": 2511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005911", "normalized_example_id": "ex_005911", "source_idx": 5911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3139, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.0625", "budget": 3139 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005911", "normalized_example_id": "ex_005911", "source_idx": 5911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3139, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\binom{100}{3}+4\\binom{100}{4}+5\\binom{100}{5}+\\binom{100}{6}", "budget": 6070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005916", "normalized_example_id": "ex_005916", "source_idx": 5916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10117, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\binom{100}{3}+4\\binom{100}{4}+5\\binom{100}{5}+\\binom{100}{6}", "budget": 8094 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005916", "normalized_example_id": "ex_005916", "source_idx": 5916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10117, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\binom{100}{3}+4\\binom{100}{4}+5\\binom{100}{5}+\\binom{100}{6}", "budget": 10117 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005916", "normalized_example_id": "ex_005916", "source_idx": 5916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10117, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5444 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005918", "normalized_example_id": "ex_005918", "source_idx": 5918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005918", "normalized_example_id": "ex_005918", "source_idx": 5918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 9073 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005918", "normalized_example_id": "ex_005918", "source_idx": 5918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9073, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2014,1996", "budget": 2970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005919", "normalized_example_id": "ex_005919", "source_idx": 5919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4950, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2014,1996", "budget": 3960 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005919", "normalized_example_id": "ex_005919", "source_idx": 5919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4950, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2014,1996", "budget": 4950 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005919", "normalized_example_id": "ex_005919", "source_idx": 5919, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4950, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 2975 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005920", "normalized_example_id": "ex_005920", "source_idx": 5920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4959, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 3967 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005920", "normalized_example_id": "ex_005920", "source_idx": 5920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4959, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 4959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005920", "normalized_example_id": "ex_005920", "source_idx": 5920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4959, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 1679 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005924", "normalized_example_id": "ex_005924", "source_idx": 5924, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2799, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 2239 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005924", "normalized_example_id": "ex_005924", "source_idx": 5924, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2799, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "70", "budget": 2799 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005924", "normalized_example_id": "ex_005924", "source_idx": 5924, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2799, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 2299 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005925", "normalized_example_id": "ex_005925", "source_idx": 5925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 3065 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005925", "normalized_example_id": "ex_005925", "source_idx": 5925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 3831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005925", "normalized_example_id": "ex_005925", "source_idx": 5925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2;2),(9;3),(\\frac{9-\\sqrt{17}}{2};\\frac{\\sqrt{17}-1}{2})", "budget": 2692 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005926", "normalized_example_id": "ex_005926", "source_idx": 5926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4487, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2;2),(9;3),(\\frac{9-\\sqrt{17}}{2};\\frac{\\sqrt{17}-1}{2})", "budget": 3590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005926", "normalized_example_id": "ex_005926", "source_idx": 5926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4487, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2;2),(9;3),(\\frac{9-\\sqrt{17}}{2};\\frac{\\sqrt{17}-1}{2})", "budget": 4487 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005926", "normalized_example_id": "ex_005926", "source_idx": 5926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4487, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "82", "budget": 5108 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005927", "normalized_example_id": "ex_005927", "source_idx": 5927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8514, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "82", "budget": 6811 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005927", "normalized_example_id": "ex_005927", "source_idx": 5927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8514, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "82", "budget": 8514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005927", "normalized_example_id": "ex_005927", "source_idx": 5927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8514, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 712 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005929", "normalized_example_id": "ex_005929", "source_idx": 5929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1186, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005929", "normalized_example_id": "ex_005929", "source_idx": 5929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1186, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1186 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005929", "normalized_example_id": "ex_005929", "source_idx": 5929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1186, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28", "budget": 3626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005931", "normalized_example_id": "ex_005931", "source_idx": 5931, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6043, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28", "budget": 4834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005931", "normalized_example_id": "ex_005931", "source_idx": 5931, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6043, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28", "budget": 6043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005931", "normalized_example_id": "ex_005931", "source_idx": 5931, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6043, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{243}", "budget": 1619 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005934", "normalized_example_id": "ex_005934", "source_idx": 5934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{243}", "budget": 2158 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005934", "normalized_example_id": "ex_005934", "source_idx": 5934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{243}", "budget": 2698 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005934", "normalized_example_id": "ex_005934", "source_idx": 5934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2698, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "285714", "budget": 1612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005935", "normalized_example_id": "ex_005935", "source_idx": 5935, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "285714", "budget": 2149 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005935", "normalized_example_id": "ex_005935", "source_idx": 5935, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "285714", "budget": 2686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005935", "normalized_example_id": "ex_005935", "source_idx": 5935, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2686, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left\\lfloor \\frac{n^2}{4} \\right\\rfloor", "budget": 4503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005938", "normalized_example_id": "ex_005938", "source_idx": 5938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left\\lfloor \\frac{n^2}{4} \\right\\rfloor", "budget": 6004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005938", "normalized_example_id": "ex_005938", "source_idx": 5938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\left\\lfloor \\frac{n^2}{4} \\right\\rfloor", "budget": 7505 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005938", "normalized_example_id": "ex_005938", "source_idx": 5938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7505, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2648 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005939", "normalized_example_id": "ex_005939", "source_idx": 5939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4414, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3531 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005939", "normalized_example_id": "ex_005939", "source_idx": 5939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4414, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4414 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005939", "normalized_example_id": "ex_005939", "source_idx": 5939, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4414, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2013", "budget": 3267 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005940", "normalized_example_id": "ex_005940", "source_idx": 5940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2013", "budget": 4356 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005940", "normalized_example_id": "ex_005940", "source_idx": 5940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2013", "budget": 5445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005940", "normalized_example_id": "ex_005940", "source_idx": 5940, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2:3", "budget": 2597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005941", "normalized_example_id": "ex_005941", "source_idx": 5941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4328, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2:3", "budget": 3462 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005941", "normalized_example_id": "ex_005941", "source_idx": 5941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4328, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2:3", "budget": 4328 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005941", "normalized_example_id": "ex_005941", "source_idx": 5941, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4328, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A=1,B=5", "budget": 1913 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005944", "normalized_example_id": "ex_005944", "source_idx": 5944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3188, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A=1,B=5", "budget": 2550 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005944", "normalized_example_id": "ex_005944", "source_idx": 5944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3188, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "A=1,B=5", "budget": 3188 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005944", "normalized_example_id": "ex_005944", "source_idx": 5944, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3188, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{50}{3}", "budget": 2911 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005945", "normalized_example_id": "ex_005945", "source_idx": 5945, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4851, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{50}{3}", "budget": 3881 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005945", "normalized_example_id": "ex_005945", "source_idx": 5945, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4851, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{50}{3}", "budget": 4851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005945", "normalized_example_id": "ex_005945", "source_idx": 5945, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4851, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 3596 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005951", "normalized_example_id": "ex_005951", "source_idx": 5951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 4794 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005951", "normalized_example_id": "ex_005951", "source_idx": 5951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 5993 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005951", "normalized_example_id": "ex_005951", "source_idx": 5951, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5993, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,0),(-2,-4)", "budget": 1535 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005953", "normalized_example_id": "ex_005953", "source_idx": 5953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2559, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,0),(-2,-4)", "budget": 2047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005953", "normalized_example_id": "ex_005953", "source_idx": 5953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2559, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(0,0),(-2,-4)", "budget": 2559 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005953", "normalized_example_id": "ex_005953", "source_idx": 5953, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2559, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{30}", "budget": 1088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005954", "normalized_example_id": "ex_005954", "source_idx": 5954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{30}", "budget": 1450 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005954", "normalized_example_id": "ex_005954", "source_idx": 5954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{30}", "budget": 1813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005954", "normalized_example_id": "ex_005954", "source_idx": 5954, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.5", "budget": 4523 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005956", "normalized_example_id": "ex_005956", "source_idx": 5956, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7539, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.5", "budget": 6031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005956", "normalized_example_id": "ex_005956", "source_idx": 5956, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7539, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.5", "budget": 7539 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005956", "normalized_example_id": "ex_005956", "source_idx": 5956, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7539, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2997", "budget": 4749 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005958", "normalized_example_id": "ex_005958", "source_idx": 5958, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7915, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2997", "budget": 6332 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005958", "normalized_example_id": "ex_005958", "source_idx": 5958, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7915, ...