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Arithmetic Reasoning on GSM8K

97.1AccuracyDUP
78.58883.39488.293.006May 23, 2023Nov 4, 2023Apr 18, 2024Oct 1, 2024Mar 15, 2025Aug 28, 2025Feb 10, 2026

Evaluation results

MethodLinks
DUPModel=GPT-4, Evaluation Protocol=Zero-shot2024.0497.1——————
DenseModel=Qwen3-8B, Calibration=N/A, Ratio=0%, 8-shot=true2025.1096.74——————
Llama-3.1-405BPrompting=CoT2025.1295.9——————
Automatic Model Selection with LLMsBackbone=GPT-4, Decoding strategy=Greedy2023.0595.6——————
Claude 3.5 SonnetPrompting=CoT2025.1295.6——————
GHS-TDABackbone=GPT-4o-mini2026.0295.2——————
GHS-TDABackbone=DeepSeek-V32026.0295.2——————
AoTBackbone=DeepSeek-V3, Reasoning Paradigm=atomic reasoning2026.0295.1——————
AoTBackbone=GPT-4o-mini, Reasoning Paradigm=atomic reasoning2026.0295——————
ToTBackbone=DeepSeek-V3, Reasoning Paradigm=tree-based2026.0295——————
ToTBackbone=GPT-4o-mini, Reasoning Paradigm=tree-based2026.0294.9——————
GHS-TDABackbone=Qwen-Turbo2026.0294.8——————
AoTBackbone=Qwen-Turbo, Reasoning Paradigm=atomic reasoning2026.0294.7——————
CoTBackbone=GPT-4, Decoding strategy=Greedy2023.0594.6——————
Zero-shot CoTModel=GPT-4, Evaluation Protocol=Zero-shot2024.0494.6——————
GPT-4oPrompting=CoT2025.1294.6——————
GoTBackbone=GPT-4o-mini, Reasoning Paradigm=graph-based2026.0294.5——————
GoTBackbone=DeepSeek-V3, Reasoning Paradigm=graph-based2026.0294.5——————
Zero-shot PS+Model=GPT-4, Evaluation Protocol=Zero-shot2024.0494.3——————
ToTBackbone=Qwen-Turbo, Reasoning Paradigm=tree-based2026.0294.2——————
FoTBackbone=DeepSeek-V3, Reasoning Paradigm=forest-based, n=82026.0294.2——————
PALBackbone=GPT-4, Decoding strategy=Greedy2023.0594——————
FoTBackbone=GPT-4o-mini, Reasoning Paradigm=forest-based, n=82026.0294——————
FoTBackbone=Qwen-Turbo, Reasoning Paradigm=forest-based, n=82026.0293.9——————
GoTBackbone=Qwen-Turbo, Reasoning Paradigm=graph-based2026.0293.8——————
AFlowBackbone=DeepSeek-V3, Reasoning Paradigm=search-based2026.0293.6——————
AFlowBackbone=GPT-4o-mini, Reasoning Paradigm=search-based2026.0293.5——————
AFlowBackbone=Qwen-Turbo, Reasoning Paradigm=search-based2026.0293.1——————
LLM-PeerReview-WType=LLM Ensemble2025.1293——67.8———
LLM-PeerReviewType=LLM Ensemble2025.1292.7——67.4———
GPT-4oPrompting=decl. PL-1S2025.1292.6——————
Least-to-MostModel=GPT-4, Evaluation Protocol=Zero-shot2024.0492.1——————
CoT-SCBackbone=DeepSeek-V3, Reasoning Paradigm=chain-based, n=52026.0292.1——————
Qwen2.5-7B-SelectionType=Our variants2025.1292.1——65.5———
CoT-SCBackbone=GPT-4o-mini, Reasoning Paradigm=chain-based, n=52026.0292——————
Self-RefineBackbone=DeepSeek-V3, Reasoning Paradigm=chain-based2026.0291.9——————
GaCType=LLM Ensemble2025.1291.8——60.2———
Self-RefineBackbone=GPT-4o-mini, Reasoning Paradigm=chain-based2026.0291.7——————
CoT-SCBackbone=Qwen-Turbo, Reasoning Paradigm=chain-based, n=52026.0291.5——————
Qwen2.5-7B-InstructType=Single LLM2025.1291.5——62.7———
Smoothie-GlobalType=LLM Ensemble2025.1291.5——60.5———
Self-RefineBackbone=Qwen-Turbo, Reasoning Paradigm=chain-based2026.0291.4——————
CoTBackbone=DeepSeek-V3, Reasoning Paradigm=chain-based2026.0291.3——————
CoTBackbone=GPT-4o-mini, Reasoning Paradigm=chain-based2026.0290.9——————
Llama-3.1-8B-SelectionType=Our variants2025.1290.8——66.4———
Mistral-7B-SelectionType=Our variants2025.1290.8——64.7———
CoTBackbone=Qwen-Turbo, Reasoning Paradigm=chain-based2026.0290.7——————
GISPModel=Qwen3-8B, Calibration=GSM8K, Ratio=20%, 8-shot=true2025.1090.52——————
GPT-4oPrompting=decl. PY-1S2025.1290.1——————
ComplexCoT + SCBase Model=gpt-3.5-turbo2023.0689.2——————
Qwen2-7B-SelectionType=Our variants2025.1288.8——62.1———
Qwen2-7B-InstructType=Single LLM2025.1288.5——56.6———
BF16Bit=BF16, Model=Qwen3-8B, Group size (g)=N/A2026.0288.48——————
CoK + SCBase Model=gpt-3.5-turbo2023.0688.2——————
OJBKQBit=4-bit, Model=Qwen3-8B, Group size (g)=1282026.0287.87——————
GPT-4oPrompting=PY-ZS2025.1287.7——————
Analogical PromptingBackbone=DeepSeek-V3, Reasoning Paradigm=chain-based2026.0287.6——————
Manual CoT + SCBase Model=gpt-3.5-turbo2023.0687.6——————
Analogical PromptingBackbone=GPT-4o-mini, Reasoning Paradigm=chain-based2026.0287.2——————
Analogical PromptingBackbone=Qwen-Turbo, Reasoning Paradigm=chain-based2026.0287——————
Agent-ForestType=LLM Ensemble2025.1286.8——60.1———
GPTQBit=4-bit, Model=Qwen3-8B, Group size (g)=1282026.0286.8——————
Wanda-spModel=Qwen3-8B, Calibration=GSM8K, Ratio=20%, 8-shot=true2025.1085.9——————
GPT-4oPrompting=PL-ZS2025.1285.8——————
Smoothie-LocalType=LLM Ensemble2025.1285.5——59.8———
AWQBit=4-bit, Model=Qwen3-8B, Group size (g)=1282026.0285.44——————
OJBKQBit=4-bit, Model=Qwen3-4B, Group size (g)=1282026.0284.29——————
BF16Bit=BF16, Model=Qwen3-4B, Group size (g)=N/A2026.0283.7——————
CoKBase Model=gpt-3.5-turbo2023.0683.2——————
Automatic Model Selection with LLMsBackbone=ChatGPT, Decoding strategy=Greedy2023.0582.6——————
FullKVCompression Ratio=100%2025.0282.35——————
DUPModel=GPT-3.5-Turbo, Evaluation Protocol=Zero-shot2024.0482.3——————
Manual-CoTModel=GPT-3.5-Turbo, Evaluation Protocol=Few-shot2024.0481.6——————
Self-AgreementBackbone=GPT-3.5-turbo, Scenario=Question type unknown, answer format known2023.1181.3——————
RandomType=LLM Ensemble2025.1281.2——54.2———
ShotKVCompression Ratio=40%2025.0281.07——————
Theoretical averageType=Single LLM2025.1280.9——54.1———
ShotKVCompression Ratio=30%2025.0280.82——————
CoTBackbone=ChatGPT, Decoding strategy=Greedy2023.0580.8——————
ShotKVCompression Ratio=20%2025.0280.57——————
BoHABackbone=Gemma-2-9B, #Params=108.04M2025.0980.44——————
SnapKVCompression Ratio=30%2025.0280.38——————
StreamingLLMCompression Ratio=40%2025.0280.37——————
ShotKVCompression Ratio=10%2025.0280.37——————
Multi-Agents (Debate)Backbone=GPT-3.5-turbo, Scenario=Question type unknown, answer format known2023.1180.2——————
Auto-CoTModel=GPT-3.5-Turbo, Evaluation Protocol=Few-shot2024.0480.2——————
AWQBit=4-bit, Model=Qwen3-4B, Group size (g)=1282026.0280.15——————
HiRABackbone=Gemma-2-9B, #Params=108.04M2025.0979.91——————
FFTBackbone=Gemma-2-9B, #Params=9.24B2025.0979.89——————
ABBABackbone=Gemma-2-9B, #Params=108.04M2025.0979.83——————
GISPModel=Qwen3-8B, Calibration=GSM8K, Ratio=30%, 8-shot=true2025.1079.68——————
SnapKVCompression Ratio=40%2025.0279.35——————
PyramidKVCompression Ratio=30%2025.0279.34——————
SnapKVCompression Ratio=20%2025.0279.34——————
H2OCompression Ratio=30%2025.0279.32——————
ChunkKVCompression Ratio=30%2025.0279.32——————
ChunkKVCompression Ratio=10%2025.0279.32——————
Zero-shot PS+Model=GPT-3.5-Turbo, Evaluation Protocol=Zero-shot2024.0479.3——————
Llama-3.1-8B-InstructType=Single LLM2025.1279.3——53.5———
ComplexCoTBase Model=gpt-3.5-turbo2023.0679.3——————