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Arithmetic Reasoning on SingleEq

98.8AccuracyPAL
35.77652.13868.584.862Jun 6, 2022Jan 21, 2023Sep 7, 2023Apr 23, 2024Dec 8, 2024Jul 25, 2025Mar 11, 2026

Evaluation results

MethodLinks
PALBackbone=GPT-4, Decoding strategy=Greedy2023.0598.8———
Automatic Model Selection with LLMsBackbone=GPT-4, Decoding strategy=Greedy2023.0598.6———
Automatic Model Selection with LLMsBackbone=ChatGPT, Decoding strategy=Greedy2023.0597.8———
PALBackbone=ChatGPT, Decoding strategy=Greedy2023.0597.6———
CoTBackbone=ChatGPT, Decoding strategy=Greedy2023.0597.4———
CoTBackbone=GPT-4, Decoding strategy=Greedy2023.0597.2———
Automatic Model Selection with LLMsBackbone=Codex, Decoding strategy=Greedy2023.0596.9———
PALBackbone=Codex, Decoding strategy=Greedy2023.0596.5———
DUPModel=GPT-4, Evaluation Protocol=Zero-shot2024.0496———
StandPerturbation=No Dert.2025.0695.7———
CoTBackbone=Codex, Decoding strategy=Greedy2023.0595.5———
Zero-shot PS+Model=GPT-4, Evaluation Protocol=Zero-shot2024.0495.3———
RoPPerturbation=EC2025.0695.3———
RoPPerturbation=SC2025.0695.1———
Zero-shot CoTModel=GPT-4, Evaluation Protocol=Zero-shot2024.0495———
Least-to-MostModel=GPT-4, Evaluation Protocol=Zero-shot2024.0495———
DIVERSEModel=code-davinci-0022022.0694.9———
DUPModel=GPT-3.5-Turbo, Evaluation Protocol=Zero-shot2024.0494.9———
Auto-CoTModel=GPT-3.5-Turbo, Evaluation Protocol=Few-shot2024.0494.6———
Manual-CoTModel=GPT-3.5-Turbo, Evaluation Protocol=Few-shot2024.0494.2———
Self-ConsistencyModel=code-davinci-0022022.0693.7———
Zero-shot CoTModel=GPT-3.5-Turbo, Evaluation Protocol=Zero-shot2024.0493.5———
Least-to-MostModel=GPT-3.5-Turbo, Evaluation Protocol=Zero-shot2024.0493.5———
Zero-shot PS+Model=GPT-3.5-Turbo, Evaluation Protocol=Zero-shot2024.0493———
APEPerturbation=SC2025.0692.7———
PromptAgentPerturbation=EC2025.0692.5———
PromptAgentPerturbation=SC2025.0692.5———
APEPerturbation=WOO2025.0692.3———
SOTA (Fine-tuned)Mode=Fine-tuned2022.0691.2———
CoTPerturbation=EC2025.0690.9———
APEPerturbation=EC2025.0690.9———
RoPPerturbation=HW2025.0690.9———
StandPerturbation=EC2025.0689.2———
RoPPerturbation=WOO2025.0689———
StandPerturbation=WOO2025.0688.8———
CoTPerturbation=SC2025.0688.4———
CoTPerturbation=WOO2025.0688.2———
StandPerturbation=SC2025.0688———
PromptAgentPerturbation=HW2025.0687.8———
Greedy DecodeModel=code-davinci-0022022.0687.5———
CoTPerturbation=HW2025.0687.4———
Self-ConsistencyModel=text-davinci-0022022.0687.2———
Auto-CoTPrompting=Automatic Chain-of-Thought2022.1087———
Manual-CoTPrompting=Manual Chain-of-Thought2022.1086.6———
DIVERSEModel=text-davinci-0022022.0686.5———
PromptAgentPerturbation=WOO2025.0685.6———
StandPerturbation=HW2025.0684.1———
LLaMA-7BDistillation type=undistilled, Zero-shot=true2026.0383.5———
ARMADALoss Function=L_euclid, Teacher Model=Stable Diffusion, Student Model=LLaMA-7B, Zero-shot=true2026.0383.3———
ARMADALoss Function=L_cosine, Teacher Model=Stable Diffusion, Student Model=LLaMA-7B, Zero-shot=true2026.0383.1———
ARMADALoss Function=L_elementwise, Teacher Model=Stable Diffusion, Student Model=LLaMA-7B, Zero-shot=true2026.0383.1———
APEPerturbation=HW2025.0683.1———
Few-ShotPrompting=Few-shot2022.1082.7———
Self-ConsistencyModel=PaLM 540B2022.0680.7———
Greedy DecodeModel=PaLM 540B2022.0679.5———
CoReBackbone=GPT-J 12B2022.1079.5———
RoPPerturbation=UIC2025.0679.1———
zero-shot*Backbone=Instruct GPT-3 175B, Standard Prompt=false2022.1078.7———
zero-shot-CoT*Backbone=Instruct GPT-3 175B, Standard Prompt=false2022.1078.7———
Zero-ShotPrompting=Zero-shot2022.1078.7———
Zero-Shot-CoTPrompting=Zero-shot Chain-of-Thought2022.1078.7———
APEPerturbation=UIC2025.0678.7———
zero-shot-CoTBackbone=Instruct GPT-3 175B2022.1078———
Greedy DecodeModel=text-davinci-0022022.0676.9———
zero-shotBackbone=Instruct GPT-3 175B2022.1074.6———
DIVERSEModel=GPT-3 davinci (175B)2022.0665.1———
StandPerturbation=UIC2025.0663.6———
Self-ConsistencyModel=LaMDA 137B2022.0663.1———
CoTPerturbation=UIC2025.0662.2———
Self-ConsistencyModel=GPT-3 davinci (175B)2022.0659.6———
PromptAgentPerturbation=UIC2025.0657.3———
Greedy DecodeModel=LaMDA 137B2022.0656.6———
Greedy DecodeModel=GPT-3 davinci (175B)2022.0638.2———
0-shot CoTModel=GPT-3 (code-davinci-001), Setting=0-shot, Paths=14, Self-consistency=true2023.05———48.8
0-shot CoTModel=PaLM-62B, Setting=0-shot, # Paths=142023.05———74.4
0-shot CoTModel=PaLM-540B, Setting=0-shot, # Paths=142023.05———88.6
5-shot CoTModel=GPT-3 (code-davinci-001), Setting=5-shot, Paths=14, Self-consistency=true2023.05———65.9
5-shot CoTModel=PaLM-62B, Setting=5-shot, # Paths=142023.05———79.8
5-shot CoTModel=PaLM-540B, Setting=5-shot, # Paths=142023.05———89.2
Auto-CoTModel=GPT-3 (code-davinci-001), Setting=0-shot, Paths=14, Self-consistency=true2023.05———58.1
Auto-CoTModel=PaLM-62B, Setting=0-shot, # Paths=142023.05———77.8
Auto-CoTModel=PaLM-540B, Setting=0-shot, # Paths=142023.05———85.6
COSPModel=GPT-3 (code-davinci-001), Setting=0-shot, Paths=7+7, Self-consistency=true2023.05———64.8
COSPModel=PaLM-62B, Setting=0-shot, # Paths=7+72023.05———78.7
COSPModel=PaLM-540B, Setting=0-shot, # Paths=7+72023.05———90.4
zero-shotReasoning Method=Zero-shot2022.05—74.678.7—
zero-shot-cotReasoning Method=Zero-shot-CoT2022.05—7878.7—