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Mathematical Reasoning on AMC 2023 (Accuracy and Tokens)

97.5AccuracyCoT
32.549.37566.2583.125Jun 11, 2025Aug 10, 2025Oct 9, 2025Dec 8, 2025Feb 6, 2026Apr 7, 2026Jun 6, 2026

Evaluation results

MethodLinks
CoTBackbone=Qwen3-14B2025.0997.55,669.67
CoT-SCBackbone=Qwen3-14B2025.0997.517,032.82
RAGBackbone=Qwen3-14B2025.09955,277.07
PieceHintBase model=DeepSeek-R1-Distill-7B2026.0493.4—
CoT-SCBackbone=Qwen3-4B2025.0992.519,142.35
CoT-SCBackbone=Qwen3-8B2025.0992.520,963.55
RoTBackbone=Qwen3-14B2025.0992.56,114.88
CoTBackbone=Qwen3-4B2025.09905,550.17
RAGBackbone=Qwen3-4B2025.09906,240.79
RoT + TIBackbone=Qwen3-4B2025.09905,052.9
CoTBackbone=Qwen3-8B2025.09906,468.07
RoTBackbone=Qwen3-8B2025.09906,522.53
GRPOBase model=DeepSeek-R1-Distill-7B2026.0488.1—
MERABackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.08883,109
RoTBackbone=Qwen3-4B2025.0987.56,133.01
RAGBackbone=Qwen3-8B2025.0987.56,960.72
RoT + TIBackbone=Qwen3-8B2025.0987.55,780.75
GRPO + PR²Policy (Off-κ)=Off-2, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0587.5—
MERABackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0885.73,711
GRPO + PR²Policy (Off-κ)=Off-4, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0585.47—
BoTBackbone=Qwen3-8B2025.098540,784.82
DASTBackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.0884.94,338
O1-PrunerBackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.0884.27,381
OriginalBackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.0883.47,925
GRPO + PR²Policy (Off-κ)=Off-8, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0583.13—
FCS+Ref.Backbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.08835,281
O1-PrunerBackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0882.87,501
RoT + TIBackbone=Qwen3-14B2025.0982.55,191.57
DEERBackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0882.25,194
FCS+Ref.Backbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0881.55,143
DASTBackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0880.34,601
CoTBackbone=Qwen3-1.7B2025.09806,403.09
RAGBackbone=Qwen3-1.7B2025.09806,842.54
CoT-SCBackbone=Qwen3-1.7B2025.098025,292.25
BoTBackbone=Qwen3-4B2025.098035,440.58
No WaitBackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.0879.65,709
GSPOPolicy (Off-κ)=Off-4, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0579.38—
DeepSeek-R1-Distill-7BRole=backbone2026.0478.8—
LCPOBackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.0878.15,533
GRPO + R²Policy (Off-κ)=Off-2, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0577.5—
OriginalBackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0877.46,738
DEERBackbone=DeepSeek-R1-Distill-Qwen-14B, Zero-shot Chain-of-Thought (CoT)=true2025.0877.23,291
GSPOPolicy (Off-κ)=Off-2, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0577.18—
GRPO + R²Policy (Off-κ)=Off-8, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0576.88—
ICPO†Backbone=Qwen2.5-Math-7B2025.1075.9—
No WaitBackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0875.75,478
ICPOBackbone=Qwen2.5-Math-7B2025.1074.9—
MERABackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0874.53,180
GRPOPolicy (Off-κ)=Off-2, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0574.06—
LCPOBackbone=DeepSeek-R1-Distill-Qwen-7B, Zero-shot Chain-of-Thought (CoT)=true2025.0873.64,821
GRPO + R²Policy (Off-κ)=Off-4, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0573.59—
GRPOPolicy (Off-κ)=Off-8, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0572.81—
RoTBackbone=Qwen3-1.7B2025.0972.58,478.95
FCS+Ref.Backbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0872.14,449
GSPOPolicy (Off-κ)=Off-8, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0572.03—
GRPOPolicy (Off-κ)=Off-4, Base Model=Qwen3-30B-A3B-Base, Sampling Strategy=Avg@162026.0570.93—
ConSteer-RLBackbone=Qwen3-8B-Base2026.0670.9—
DASTBackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0870.25,583
DEERBackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0870.24,179
O1-PrunerBackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0869.55,622
GRPOBackbone=Qwen3-8B-Base2026.0669.2—
No WaitBackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0868.56,422
Prefix-RFT*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1068.2—
OriginalBackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0867.77,160
Uni-DPOModel=Qwen2.5-Math 7B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0667.5—
SFTTraining Data=PC-83K, Base Model=Qwen2.5-7B-Instruct2025.0867.5—
ConSteer-RLBackbone=Qwen2.5-Math-7B2026.0667.5—
SFT+RL_GRPOBackbone=Qwen2.5-Math-7B2025.1067.1—
LUFFY*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1065.6—
RL (PC-83K)Training Data=PC-83K, Base Model=Qwen2.5-7B-Instruct, Training Method=RL (GRPO)2025.0865—
ReLIFT*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1064.8—
LCPOBackbone=DeepSeek-R1-Distill-Qwen-1.5B, Zero-shot Chain-of-Thought (CoT)=true2025.0863.96,694
ConSteer-RLBackbone=Qwen3-4B-Base2026.0663.8—
RL_GRPOBackbone=Qwen2.5-Math-7B2025.1063—
GRPOBackbone=Qwen3-4B-Base2026.0663—
BoTBackbone=Qwen3-1.7B2025.0962.550,371.8
RL (PC-SL-35K)Training Data=PC-SL-35K, Base Model=Qwen2.5-7B-Instruct, Training Method=RL2025.0862.5—
SFTBackbone=Qwen2.5-Math-7B2025.1061.8—
Oat-Zero*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1061.2—
RL (PC-83K+PC-SL-35K)Training Data=PC-83K + PC-SL-35K, Base Model=Qwen2.5-7B-Instruct, Training Method=RL2025.0860—
GRPOBackbone=Qwen2.5-Math-7B2026.0660—
RoT + TIBackbone=Qwen3-1.7B2025.0957.55,955.47
Uni-DPOModel=Qwen2.5-Math 1.5B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0657.5—
DPOModel=Qwen2.5-Math 7B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0657.5—
SimPOModel=Qwen2.5-Math 7B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0657.5—
SynLogic-7BBase Model=7B Parameters2025.0855—
SimpleRL-Zero*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1054.9—
PRIME-Zero*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1054—
BaselineModel=Qwen2.5-Math 1.5B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0652.5—
Qwen2.5-7B-InstructBase Model=Qwen2.5-7B-Instruct2025.0852.5—
OpenReasoner-Zero*Backbone=Qwen2.5-Math-7B, Reported from original paper=true2025.1052.1—
BaselineBackbone=Qwen3-8B-Base2026.0651.7—
DPOModel=Qwen2.5-Math 1.5B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0647.5—
SimPOModel=Qwen2.5-Math 1.5B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0647.5—
BaselineModel=Qwen2.5-Math 7B, zero-shot chain-of-thought prompting=true, greedy decoding=true2025.0647.5—
CoTBackbone=Qwen3-0.6B2025.0942.56,447.14
BaselineBackbone=Qwen3-4B-Base2026.0641.6—
RAGBackbone=Qwen3-0.6B2025.09407,037.12
CoT-SCBackbone=Qwen3-0.6B2025.094026,191.12
RoTBackbone=Qwen3-0.6B2025.09357,388.15