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Arithmetic Reasoning on AQuA (test)

74.63AccuracySGE
11.782828.098944.41560.7311Jun 6, 2023Nov 8, 2023Apr 12, 2024Sep 15, 2024Feb 17, 2025Jul 23, 2025Dec 26, 2025

Evaluation results

MethodLinks
SGEModel=GPT-4, Tool=Code Interpreter2024.0574.63
Ours (Natural Program (NP), No Verification)LLM=GPT-3.5-turbo, Prompting Format=Natural Program (NP), Verification Method=None, Voting Strategy=Majority Voting, k=102023.0670.34
CoT + VotingLLM=GPT-3.5-turbo, Prompting Format=Chain-of-Thought (CoT), Voting Strategy=Majority Voting, k=102023.0670.18
Decomp PromptingModel=GPT-4, Tool=Code Interpreter2024.0569.99
Refine PromptingModel=GPT-4, Tool=Code Interpreter2024.0569.68
CoT PromptingModel=GPT-4, Tool=Code Interpreter2024.0569.57
Ours (NP + Deductive Verification + UPV)LLM=GPT-3.5-turbo, Prompting Format=Natural Program (NP), Verification Method=Deductive Verification, Voting Strategy=UPV, k=102023.0669.49
IO PromptingModel=GPT-4, Tool=Code Interpreter2024.0567.3
Faithful CoT + VotingLLM=GPT-3.5-turbo, Prompting Format=Faithful CoT, Voting Strategy=Majority Voting, k=102023.0661.8
LLMBOOSTBackbone=Qwen-2.5-7B, Params=3 × 7B2025.1261.8
LLMBOOSTBackbone=Qwen-2.5-3B, Params=3 × 3B2025.1261.2
voteBackbone=Qwen-2.5-7B, Params=3 × 7B2025.1260.9
UNITEBackbone=Qwen-2.5-7B, Params=3 × 7B2025.1260.9
LLMBOOSTBackbone=Qwen-2.5-3B, Params=2 × 3B2025.1260.2
LLMBOOSTBackbone=Qwen-2.5-7B, Params=2 × 7B2025.1259.8
voteBackbone=Qwen-2.5-3B, Params=3 × 3B2025.1259.7
UNITEBackbone=Qwen-2.5-7B, Params=2 × 7B2025.1259.5
UNITEBackbone=Qwen-2.5-3B, Params=3 × 3B2025.1259.3
UNITEBackbone=Qwen-2.5-3B, Params=2 × 3B2025.1258.5
voteBackbone=Qwen-2.5-7B, Params=2 × 7B2025.1257.8
T-copilotBackbone=Qwen-2.5-7B, Params=2 × 7B2025.1256.9
Qwen-2.5-7BBackbone=Qwen-2.5-7B, Params=1 × 7B2025.1256.8
voteBackbone=Qwen-2.5-3B, Params=2 × 3B2025.1254.2
Qwen-2.5-3BBackbone=Qwen-2.5-3B, Params=1 × 3B2025.1254.1
T-copilotBackbone=Qwen-2.5-3B, Params=2 × 3B2025.1253.9
LLMBOOSTBackbone=Llama-3.1-8B, Params=3 × 8B2025.1247.6
LLMBOOSTBackbone=Llama-3.1-8B, Params=2 × 8B2025.1246.8
voteBackbone=Llama-3.1-8B, Params=2 × 8B2025.1244.4
voteBackbone=Llama-3.1-8B, Params=3 × 8B2025.1243.9
UNITEBackbone=Llama-3.1-8B, Params=3 × 8B2025.1243.3
T-copilotBackbone=Llama-3.1-8B, Params=2 × 8B2025.1242.8
UNITEBackbone=Llama-3.1-8B, Params=2 × 8B2025.1242.8
Llama-3.1-8BBackbone=Llama-3.1-8B, Params=1 × 8B2025.1242.3
LLMBOOSTBackbone=LLama-3.2-3B, Params=2 × 3B2025.1235.8
LLMBOOSTBackbone=LLama-3.2-3B, Params=3 × 3B2025.1235.1
voteBackbone=LLama-3.2-3B, Params=2 × 3B2025.1234.6
T-copilotBackbone=LLama-3.2-3B, Params=2 × 3B2025.1233.3
voteBackbone=LLama-3.2-3B, Params=3 × 3B2025.1232.9
UNITEBackbone=LLama-3.2-3B, Params=3 × 3B2025.1232.5
LLama-3.2-3BBackbone=LLama-3.2-3B, Params=1 × 3B2025.1231.9
UNITEBackbone=LLama-3.2-3B, Params=2 × 3B2025.1231.1
REFTBackbone=LLaMA3-8B2024.1027.5
DoRA + MoDEKBackbone=LLaMA3-8B2024.1027.4
RoAd2Model=7B, #Params.=0.04%2024.0826.8
DoRABackbone=LLaMA3-8B2024.1026.8
RoAd1Model=7B, #Params.=0.02%2024.0826.4
LoRAALL + MoDEKBackbone=LLaMA3-8B2024.1026.2
RoAd2Model=13B, #Params.=0.03%2024.0826
REFTBackbone=LLaMA2-7B2024.1025.8
DoRA + MoDEKBackbone=LLaMA2-7B2024.1025.8
LoRAALLBackbone=LLaMA3-8B2024.1025.6
LoRAALL + MoDEKBackbone=LLaMA2-7B2024.1025.5
LoRA¬K + MoDEK (+0.04%)Backbone=LLaMA3-8B2024.1025.5
RoAd4Model=13B, #Params.=0.07%2024.0825.2
LoRA¬KBackbone=LLaMA3-8B2024.1025
RoAd4Model=7B, #Params.=0.08%2024.0824.8
RoAd1Model=13B, #Params.=0.02%2024.0824.8
DoRABackbone=LLaMA2-7B2024.1024.8
LoRAALLBackbone=LLaMA2-7B2024.1024.4
LoRA¬K + MoDEK (+0.04%)Backbone=LLaMA2-7B2024.1024.3
LoRA¬KBackbone=LLaMA2-7B2024.1024
LoReFTModel=13B, #Params.=0.03%2024.0823.6
AdapterSModel=13B, #Params.=0.80%2024.0822
LoReFTModel=7B, #Params.=0.03%2024.0821.4
AdapterPModel=13B, #Params.=2.89%2024.0820.5
(IA)3Model=7B, #Params.=0.02%2024.0819.7
LORAModel=7B, #Params.=0.83%2024.0818.9
LORAModel=13B, #Params.=0.67%2024.0818.5
AdapterPModel=7B, #Params.=3.54%2024.0818.1
PrefixModel=13B, #Params.=0.03%2024.0815.7
AdapterSModel=7B, #Params.=0.99%2024.0815
PrefixModel=7B, #Params.=0.04%2024.0814.2