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Mathematical Reasoning on MATH500 1.0 (test)

96.9AccuracyA3PO
20.428840.281960.13579.9881Sep 26, 2025Nov 3, 2025Dec 11, 2025Jan 18, 2026Feb 25, 2026Apr 4, 2026May 12, 2026

Evaluation results

MethodLinks
A3POModel=Deepseek-R1-Distill-Qwen-7B2025.1296.9
Lp-RegModel=Deepseek-R1-Distill-Qwen-7B2025.1296.2
DAPO w/ Fork TokensModel=Deepseek-R1-Distill-Qwen-7B2025.1295.8
W-REINFORCEModel=Deepseek-R1-Distill-Qwen-7B2025.1295.7
DAPOModel=Deepseek-R1-Distill-Qwen-7B2025.1295.5
GRPOModel=Deepseek-R1-Distill-Qwen-7B2025.1295.2
A3POModel=Qwen3-8B-Base2025.1291.3
A3POModel=Qwen2.5-7B-Math2025.1290.4
Lp-RegModel=Qwen3-8B-Base2025.1287.4
W-REINFORCEModel=Qwen2.5-7B-Math2025.1287.3
Lp-RegModel=Qwen2.5-7B-Math2025.1287.1
NEMOTRON-NANO-12B-V2 (RLP + Post)Pre-training objective=RLP, Post-training pipeline=SFT + RLVR, Evaluation protocol=Pass@1 (average of 8 runs)2025.0987.05
W-REINFORCEModel=Qwen3-8B-Base2025.1286.9
DAPO w/ Fork TokensModel=Qwen2.5-7B-Math2025.1286.8
DAPO w/ Fork TokensModel=Qwen3-8B-Base2025.1286.2
DAPOModel=Qwen2.5-7B-Math2025.1285.4
DAPOModel=Qwen3-8B-Base2025.1284.5
GRPOModel=Qwen2.5-7B-Math2025.1283.8
NEMOTRON-NANO-12B-V2 (Base + Post)Pre-training objective=Next-token prediction, Post-training pipeline=SFT + RLVR, Evaluation protocol=Pass@1 (average of 8 runs)2025.0983.47
GRPOModel=Qwen3-8B-Base2025.1282.3
NEMOTRON-NANO-12B-V2 (Base)Pre-training objective=Next-token prediction, Post-training pipeline=None, Evaluation protocol=Pass@1 (average of 8 runs)2025.0979.95
NEMOTRON-NANO-12B-V2 (RLP)Pre-training objective=RLP, Post-training pipeline=None, Evaluation protocol=Pass@1 (average of 8 runs)2025.0978.68
polyGRPOBackbone=Qwen2.5-7B-Instruct2026.0464.94
GRPOBackbone=Qwen2.5-7B-Instruct2026.0463.2
LIDRBackbone=Qwen2.5-7B-Instruct2026.0462.46
MAPOBackbone=Qwen2.5-7B-Instruct2026.0461.2
BaseBackbone=Qwen2.5-7B-Instruct2026.0457.89
xRFTBackbone=Qwen2.5-7B-Instruct2026.0453.12
Llama3.1-8B-Instruct# data=N.A.2026.0251.9
SFT-Decomp + Curriculum# data=4500, backbone=Qwen2.5-1.5B2026.0251.6
SFT-Decomp# data=4500, backbone=Qwen2.5-1.5B2026.0250.8
SFT-MuggleMath# data=147787, backbone=Qwen2.5-1.5B2026.0250.4
SFT-Direct Distillation# data=360, backbone=Qwen2.5-1.5B2026.0249.6
SFT# data=360, backbone=Qwen2.5-1.5B2026.0248.4
SFT (full dataset)# data=7500, backbone=Qwen2.5-1.5B2026.0247.6
Base# data=N.A., backbone=Qwen2.5-1.5B2026.0247.2
MiniCPM3-4B# data=N.A.2026.0246.6
Gemma2-9B-Instruct# data=N.A.2026.0244.3
Gemma2-27B# data=N.A.2026.0242.7
Qwen2.5-3B# data=N.A.2026.0242.6
Llama-3-70B# data=N.A.2026.0242.5
TABOMSFT Training Domain=Code SFT (Ling-Coder-SFT)2026.0542.4
Mixtral-8x22B# data=N.A.2026.0241.7
SFT-SDSFT Training Domain=Code SFT (Ling-Coder-SFT)2026.0541.6
TABOMSFT Training Domain=Math SFT (MixChain-Z-PRM12K)2026.0541.1
No-SFTSFT Training Domain=None (Base Model)2026.0539.8
SFT-SDSFT Training Domain=Math SFT (MixChain-Z-PRM12K)2026.0539.8
SFT-GTSFT Training Domain=Math SFT (MixChain-Z-PRM12K)2026.0537.4
SFT-MetaMATH-Aug# data=2638, backbone=Qwen2.5-1.5B2026.0237.2
Qwen2.5-1.5B# data=N.A.2026.0235
SFT-GTSFT Training Domain=Code SFT (Ling-Coder-SFT)2026.0532.4
polyGRPOBackbone=Llama3-8B-Instruct2026.0426.71
BaseBackbone=Llama3-8B-Instruct2026.0426
MAPOBackbone=Llama3-8B-Instruct2026.0425.26
GRPOBackbone=Llama3-8B-Instruct2026.0424.43
LIDRBackbone=Llama3-8B-Instruct2026.0424.31
xRFTBackbone=Llama3-8B-Instruct2026.0423.37