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Math Word Problem Solving on GSM8K (Accuracy)

95.3AccuracyOracle
68.15675.20382.2589.297Jul 27, 2025Sep 14, 2025Nov 2, 2025Dec 21, 2025Feb 8, 2026Mar 29, 2026May 17, 2026

Evaluation results

MethodLinks
OracleModel=Gemma2-9B, Black-Box Friendly=true2026.0495.3
AgentReviveVar. NS=True, Flex. State=True, Base model=Qwen2.5-72B-Instruct2026.0594.87
OracleModel=Qwen2.5-7B, Black-Box Friendly=true2026.0494.6
OracleModel=Llama3.1-8B, Black-Box Friendly=true2026.0494.6
GPT-5 nanoScale=nano2026.0594.6
Qwen3-8BParameters=8B2026.0594.3
AgentDropoutVar. NS=True, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0593.75
SC (CoT)Var. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0593.67
AgentPruneVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0593.67
MASround=1Var. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0593.52
MASround=TVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0593.28
OracleModel=Qwen2.5-3B, Black-Box Friendly=true2026.0493.1
ARG-DesignerVar. NS=True, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0592.98
phi-balancingModel=Moonlight-16B-A3B-Instruct2026.0592.92
gpt-oss-20bParameters=20B2026.0592.9
Frozen checkpointModel=Moonlight-16B-A3B-Instruct2026.0592.84
OracleModel=Llama3.2-3B, Black-Box Friendly=true2026.0492.6
G-DesignerVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0592.5
CoTVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0592.19
AutogenVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0592.17
AgentVerseVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0591.59
ST-MoEModel=Moonlight-16B-A3B-Instruct2026.0591.37
VanillaVar. NS=False, Flex. State=False, Base model=Qwen2.5-72B-Instruct2026.0591.02
gemma-3-12b-itParameters=12B2026.0590.7
GreedyModel=Qwen2.5-7B, Black-Box Friendly=true2026.0488.3
GreedyModel=Llama3.1-8B, Black-Box Friendly=true2026.0488.3
Qwen3-4BParameters=4B2026.0587.5
EngGPT2-16B-A3BParameters=16B2026.0586.4
Llama-3.1-8BParameters=8B2026.0586.1
OVMBase Model=Mistral, Size=7B+7B2026.0484.7
ToRA-CodeBase Model=LLaMA-2, Size=70B, Synthetic Data=TORA-CORPUS (16K)2026.0484.3
RCSprobModel=Llama3.2-3B, Black-Box Friendly=false2026.0484.1
AbelBase Model=LLaMA-2, Size=70B, Synthetic Data=Unreleased2026.0483.9
Ministral-3-8BParameters=8B2026.0583.7
I-DPO + MaPPOModel=Llama-3-8B-Instruct2025.0782.4
I-DPO + MaPPOBase Model=Llama-3-8B-Instruct, DPO Mode=iterative2026.0582.4
MetaMathBase Model=LLaMA-2, Size=70B, Synthetic Data=MetaMathQA (395K)2026.0482.1
I-DPO + MaPPOModel=Qwen2.5-7B-Instruct2025.0782
ITModel=Qwen2.5-7B-Instruct2025.0781.7
WizardMathBase Model=LLaMA-2, Size=70B, Synthetic Data=Evol-Instruct2026.0481.6
BaselineFine-tuning=Prior to fine-tuning2026.0481.52
Phi-GSM+VBase Model=Phi-1.5, Size=1.3B+1.3B, Synthetic Data=TinyGSM (1.3M)2026.0481.5
gemma-3-4b-itParameters=4B2026.0581.5
I-DPOModel=Llama-3-8B-Instruct2025.0781.3
I-DPOBase Model=Llama-3-8B-Instruct, DPO Mode=iterative2026.0581.3
TLPOFine-tuning=After fine-tuning2026.0480.99
ToRA-CodeBase Model=LLaMA-2, Size=34B, Synthetic Data=TORA-CORPUS (16K)2026.0480.7
RCSmedoidModel=Llama3.2-3B, Black-Box Friendly=true2026.0480.5
RCSuniModel=Llama3.2-3B, Black-Box Friendly=true2026.0480.5
DPO + MaPPOModel=Qwen2.5-7B-Instruct2025.0780.1
GreedyModel=Llama3.2-3B, Black-Box Friendly=true2026.0479.7
TLPOFine-tuning=After fine-tuning2026.0479.55
DPO + MaPPOModel=Llama-3-8B-Instruct2025.0779.5
DPO + MaPPOBase Model=Llama-3-8B-Instruct, DPO Mode=offline2026.0579.5
RCSfreqModel=Llama3.2-3B, Black-Box Friendly=true2026.0479.4
DPOFine-tuning=After fine-tuning2026.0478.57
CEModel=Llama3.2-3B, Black-Box Friendly=false2026.0478.5
SFTTraining Dataset=s1K, Tuning Method=LoRA Tuning, Base Model=LLaDA-8B-Instruct, Evaluation Protocol=0-shot2025.0978.5
BaselineFine-tuning=Prior to fine-tuning2026.0478.48
Llama-3.2-3BParameters=3B2026.0578.1
ORPOFine-tuning=After fine-tuning2026.0478.09
SCModel=Llama3.2-3B, Black-Box Friendly=true2026.0478
MetaMath-MistralBase Model=Mistral, Size=7B, Synthetic Data=MetaMathQA (395K)2026.0477.8
SFTTraining Dataset=s1K-1.1, Tuning Method=LoRA Tuning, Base Model=LLaDA-8B-Instruct, Evaluation Protocol=0-shot2025.0977.7
GIFTTraining Dataset=openr1-3k, Tuning Method=LoRA Tuning, Base Model=LLaDA-8B-Instruct, Evaluation Protocol=0-shot2025.0977.7
GIFTTraining Dataset=s1K-1.1, Tuning Method=LoRA Tuning, Base Model=LLaDA-8B-Instruct, Evaluation Protocol=0-shot2025.0977.6
Moonlight-16B-A3BParameters=16B2026.0577.4
GIFTTraining Dataset=s1K, Tuning Method=LoRA Tuning, Base Model=LLaDA-8B-Instruct, Evaluation Protocol=0-shot2025.0977.3
SFTTraining Dataset=openr1-3k, Tuning Method=LoRA Tuning, Base Model=LLaDA-8B-Instruct, Evaluation Protocol=0-shot2025.0977.1
LLaDA-8B-InstructEvaluation Protocol=0-shot2025.0976.8
MAMmoTHBase Model=LLaMA-2, Size=70B, Synthetic Data=MathInstruct (260K)2026.0475.9
ToRA-CodeBase Model=LLaMA-2, Size=13B, Synthetic Data=TORA-CORPUS (16K)2026.0475.8
RCSprobModel=Llama3.1-8B, Black-Box Friendly=false2026.0475.6
DPOModel=Llama-3-8B-Instruct2025.0775.5
DPOBase Model=Llama-3-8B-Instruct, DPO Mode=offline2026.0575.5
AMRBase Model=Qwen2.5-Math, Size=7B, Synthetic Data=No2026.0475.28
RCSprobModel=Gemma2-9B, Black-Box Friendly=false2026.0475.1
DPOFine-tuning=After fine-tuning2026.0475.06
Phi-GSMBase Model=Phi-2, Size=2.7B, Synthetic Data=TinyGSM (1.3M)2026.0474.3
NLLModel=Llama3.2-3B, Black-Box Friendly=false2026.0474.3
ANLLModel=Llama3.2-3B, Black-Box Friendly=false2026.0473.9
RCSuniModel=Gemma2-9B, Black-Box Friendly=true2026.0473.8
OVMBase Model=LLaMA-2, Size=7B+7B2026.0473.7
ITModel=Llama-3-8B-Instruct2025.0773.4
ITBase Model=Llama-3-8B-Instruct2026.0573.4
I-DPOModel=Qwen2.5-7B-Instruct2025.0773.2
ORPOFine-tuning=After fine-tuning2026.0473.14
CEModel=Gemma2-9B, Black-Box Friendly=false2026.0473.1
ANLLModel=Gemma2-9B, Black-Box Friendly=false2026.0473.1
SCModel=Gemma2-9B, Black-Box Friendly=true2026.0472.9
RCSmedoidModel=Gemma2-9B, Black-Box Friendly=true2026.0472.9
RCSuniModel=Llama3.1-8B, Black-Box Friendly=true2026.0472.8
ToRA-CodeBase Model=LLaMA-2, Size=7B, Synthetic Data=TORA-CORPUS (16K)2026.0472.6
RCSfreqModel=Gemma2-9B, Black-Box Friendly=true2026.0472.6
SEGOBase Model=CodeLLaMA, Size=13B, Synthetic Data=GSM8K+MATH+AQuA2026.0472.5
RCSmedoidModel=Llama3.1-8B, Black-Box Friendly=true2026.0471.4
Phi-GSM+V (350M)Base Model=Phi-1.5-small, Size=350M+350M, Synthetic Data=TinyGSM (1.3M)2026.0471.3
DPOModel=Qwen2.5-7B-Instruct2025.0771.3
MetaMathBase Model=LLaMA-2, Size=13B, Synthetic Data=MetaMathQA (395K)2026.0470.8
Frozen checkpointModel=DeepSeek-V2-Lite2026.0569.2