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Mathematical Reasoning on MATH 500 (Pass@1, FLOPS)

38.2Pass@1ϕ-Decoding
9.70417.10224.531.898Jan 21, 2026

Evaluation results

MethodLinks
ϕ-DecodingBackbone=LLaMA3.1-8B-Instruct2026.0138.2—
MFS (Ours)Backbone=LLaMA3.1-8B-Instruct2026.0138.2—
MCTSBackbone=LLaMA3.1-8B-Instruct2026.0134.4—
Predictive DecodingBackbone=LLaMA3.1-8B-Instruct2026.0134—
Tree-of-ThoughtsBackbone=LLaMA3.1-8B-Instruct2026.0131.6—
Guided DecodingBackbone=LLaMA3.1-8B-Instruct2026.0131.2—
Auto-Regressive (CoT)Backbone=LLaMA3.1-8B-Instruct2026.0131—
MFS (Ours)Backbone=Mistral-v0.3-7B-Instruct2026.0117.6—
ϕ-DecodingBackbone=Mistral-v0.3-7B-Instruct2026.0116.4—
Auto-Regressive (CoT)Backbone=Mistral-v0.3-7B-Instruct2026.0112.2—
Predictive DecodingBackbone=Mistral-v0.3-7B-Instruct2026.0111—
Tree-of-ThoughtsBackbone=Mistral-v0.3-7B-Instruct2026.0110.8—
MCTSBackbone=Mistral-v0.3-7B-Instruct2026.0110.8—
Guided DecodingBackbone=Mistral-v0.3-7B-Instruct2026.0110.8—