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Mathematical Reasoning on GaoKao (test)

79.74AccuracyDiPO
14.490431.430248.3765.3098Sep 18, 2024Dec 10, 2024Mar 3, 2025May 25, 2025Aug 16, 2025Nov 7, 2025Jan 29, 2026

Evaluation results

MethodLinks
DiPOModel=Qwen3-4B, Temperature=Constant, Maximum context length=8K tokens2026.0179.741,490.859.3
Qwen2.5-Math-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=rm@82024.0976.5——
BaselineModel=Qwen3-4B, Temperature=Constant, Maximum context length=8K tokens2026.0175.583,208.140.2
Qwen2.5-Math-72B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=rm@82024.0975.4——
Qwen2.5-Math-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=maj@82024.0975——
DiPOModel=Qwen3-8B*, Temperature=Constant, Maximum context length=8K tokens2026.0174.551,575.259.5
Qwen2.5-Math-7B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=rm@82024.0972.9——
Qwen2.5-Math-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=rm@82024.0972.2——
Qwen2.5-Math-72B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=maj@82024.0972——
BaselineModel=Qwen3-8B*, Temperature=Constant, Maximum context length=8K tokens2026.0171.433,976.427.9
Qwen2.5-Math-7B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=maj@82024.0970.8——
Qwen2.5-Math-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0968.6——
Qwen2.5-Math-72B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=Greedy2024.0968.5——
Qwen2.5-Math-1.5B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=maj@82024.0968.3——
Qwen2.5-Math-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=maj@82024.0968.1——
Qwen2-Math-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=rm@82024.0967.7——
GPT-4oCode Integration=No2025.0267.5——
Qwen2.5-Math-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=rm@82024.0967.5——
Qwen2.5-Math-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=maj@82024.0966.4——
Qwen2.5-Math-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0966.3——
Qwen2.5-Math-1.5B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=rm@82024.0964.1——
Qwen2.5-Math-7B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=Greedy2024.0962.9——
Qwen2-Math-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=rm@82024.0962.7——
Qwen2.5-Math-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0962.4——
OpenAI-o1-previewCode Integration=No2025.0262.1——
Qwen2-Math-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=maj@82024.0961.7——
Qwen2-Math-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0959.8——
Qwen2.5-Math-1.5B-InstructEvaluation Protocol=TOOL-INTEGRATED REASONING, Decoding Strategy=Greedy2024.0959.6——
Qwen2-Math-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=maj@82024.0959.5——
Qwen2-Math-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=rm@82024.0958.2——
Qwen2-72B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0954.6——
AutoCode4Math-Qwen2.5Code Integration=Autonomous2025.0251.69——
DeepSeek-Coder-V2-Lite-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0951.1——
AutoCode4Math-DeepSeekCode Integration=Autonomous2025.0250.53——
AutoCode4Math-Qwen2Code Integration=Autonomous2025.0250.13——
Qwen2-Math-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=maj@82024.0950.1——
NuminaMath-72BCode Integration=Yes2025.0249.4——
Qwen2-Math-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0949——
NuminaMath-7B-CoTCode Integration=No2025.0248.83——
NuminaMath-72B-CoTEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0947.9——
Qwen2-Math-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0946.5——
Mathstral-7BCode Integration=No2025.0246——
Dart-Math-DeepSeek-7BCode Integration=No2025.0245.45——
Qwen-2.5-Base-7BCode Integration=No2025.0245.45——
DeepseekMath-Instruct-7BCode Integration=Yes2025.0244.68——
Qwen2Math-Base-7BCode Integration=No2025.0243.37——
GPT-4o-2024-08-06Evaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0942.6——
Llama-3.1-70B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0941.7——
Internlm2-math-plus-mixtral8x7BEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0937.3——
NuminaMath-7B-CoTEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0936.4——
Internlm2-math-plus-20BEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0936.1——
Qwen2-7B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0935.1——
Dart-Math-Llama3-8BCode Integration=No2025.0234.8——
Internlm2-math-plus-7BEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0934.5——
DeepSeekMath-7B-RLEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0933.6——
TORA-70BCode Integration=Yes2025.0231.7——
Mathstral-7B-v0.1Evaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0931.6——
Llama-3.1-8B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0930.4——
Mammoth-70BCode Integration=Yes2025.0225.2——
Mammoth-Mistral-7BCode Integration=Yes2025.0222.08——
Qwen2-1.5B-InstructEvaluation Protocol=CHAIN-OF-THOUGHT, Decoding Strategy=Greedy2024.0917——