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Symbolic Reasoning on Coin Flip

99.9AccuracyAuto-CoT
9.31632.83356.3579.867Oct 7, 2022May 5, 2023Dec 1, 2023Jun 28, 2024Jan 24, 2025Aug 22, 2025Mar 20, 2026

Evaluation results

MethodLinks
Auto-CoTPrompting=Automatic Chain-of-Thought2022.1099.9
Auto-CoTBase Model=text-davinci-0022023.0699.9
CoK + SCBase Model=gpt-3.5-turbo2023.0699.2
Manual CoT + SCBase Model=gpt-3.5-turbo2023.0699
CoKBase Model=gpt-3.5-turbo2023.0698
CoKBase Model=text-davinci-0022023.0697.4
Manual CoTBase Model=gpt-3.5-turbo2023.0697.4
Manual-CoTPrompting=Manual Chain-of-Thought2022.1097.2
Zero-Shot-CoTPrompting=Zero-shot Chain-of-Thought2022.1091.4
Zero-Shot CoTBase Model=text-davinci-0022023.0691.4
RM-RegenModel=GPT-3.52026.0378.5
RM-RegenModel=Llama3.1-8B2026.0377.75
ProCoModel=GPT-3.5, iterations=32026.0375.25
ST CoTModel=GPT-3.5, iterations=32026.0375
Manual CoTBase Model=text-davinci-0022023.0674.5
ST CoTModel=Llama3.1-8B, iterations=32026.0369.25
Self-RefineModel=GPT-3.5, iterations=32026.0368.25
Self-RefineModel=Llama3.1-8B, iterations=32026.0366
RM-RegenModel=Gemma2-9B2026.0366
Few-ShotPrompting=Few-shot2022.1057.2
Self-RefineModel=Gemma2-9B, iterations=32026.0354.25
Zero-ShotPrompting=Zero-shot2022.1053.8
ProCoModel=Gemma2-9B, iterations=32026.0350.75
Few-Shot SPBase Model=text-davinci-0022023.0649.1
ST CoTModel=Gemma2-9B, iterations=32026.0345
ProCoModel=Llama3.1-8B, iterations=32026.0344
Zero-Shot SPBase Model=text-davinci-0022023.0612.8