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Mathematical Reasoning on MATH500 (Accuracy, Tokens)

94.6AccuracyS1
2744.5562.179.65Jul 21, 2025Sep 14, 2025Nov 8, 2025Jan 3, 2026Feb 27, 2026Apr 23, 2026Jun 18, 2026

Evaluation results

MethodLinks
S1Base Model=QwQ-32B2026.0594.64,549
TIPBase Model=QwQ-32B2026.0593.84,155
PathCalBase Model=QwQ-32B2026.0593.83,867
CyclicReflexBase Model=QwQ-32B2026.0593.24,261
OriginalBase Model=QwQ-32B2026.0592.84,209
PathCalBase Model=DeepSeek-R1-Distill-Qwen-14B2026.05911,851
Evo-L2S (Accuracy)Model Scale=14B, Merging Strategy=Single-Objective Evolutionary Merging2026.04892,663.1
S1Base Model=DeepSeek-R1-Distill-Qwen-14B2026.0588.62,391
TIPBase Model=DeepSeek-R1-Distill-Qwen-14B2026.0588.22,008
OriginalBase Model=DeepSeek-R1-Distill-Qwen-14B2026.0587.81,978
PathCalBase Model=DeepSeek-R1-Distill-Qwen-7B2026.0587.41,281
Task ArithmeticModel Scale=14B, Merging Strategy=Arithmetic Merging2026.0486.82,459.2
CyclicReflexBase Model=DeepSeek-R1-Distill-Qwen-14B2026.0586.72,059
ThinkPrune-4k2026.0386.62,042
S1Base Model=DeepSeek-R1-Distill-Qwen-7B2026.0586.51,790
LAPO-D2026.0386.42,365
Evo-L2S-01Model Scale=14B, Merging Strategy=Multi-Objective Evolutionary Merging2026.0486.42,429.8
LAPO-I2026.0386.32,168
DeepSeek-R1-Distill-Qwen-14BModel Scale=14B, Merging Strategy=Distilled Model2026.0486.23,183.6
Softmax+Backbone=qwen3-4b-base, nll coefficient=1.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0486.2—
TIPBase Model=DeepSeek-R1-Distill-Qwen-7B2026.0586.21,406
DeepScaler-1.5B2026.0385.83,280
CyclicReflexBase Model=DeepSeek-R1-Distill-Qwen-7B2026.0585.81,459
ThinkPrune-I2k2026.0385.51,707
OriginalBase Model=DeepSeek-R1-Distill-Qwen-7B2026.0585.51,423
Evo-L2S-02Model Scale=14B, Merging Strategy=Multi-Objective Evolutionary Merging2026.0485.42,272.6
DPOBackbone=qwen3-4b-base, nll coefficient=1.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0485.4—
Margin+Backbone=qwen3-4b-base, nll coefficient=0.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0485.2—
All-Pairs+Backbone=qwen3-4b-base, nll coefficient=0.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0485—
AutoThink2026.0384.91,635
MPO+Backbone=qwen3-4b-base, nll coefficient=1.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0484.6—
HAPO2026.0384.42,370
Margin+Backbone=qwen3-4b-base, nll coefficient=1.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0484.4—
Evo-L2S-03Model Scale=14B, Merging Strategy=Multi-Objective Evolutionary Merging2026.0483.81,958.2
All-Pairs+Backbone=qwen3-4b-base, nll coefficient=1.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0483.4—
MPO+Backbone=qwen3-4b-base, nll coefficient=0.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0483.4—
PathCalBase Model=DeepSeek-R1-Distill-Llama-8B2026.0583.21,867
Evo-L2S-04Model Scale=14B, Merging Strategy=Multi-Objective Evolutionary Merging2026.04831,008.8
DPOBackbone=qwen3-4b-base, nll coefficient=0.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0483—
OriginalBase Model=DeepSeek-R1-Distill-Llama-8B2026.0582.51,988
RFTBackbone=qwen3-4b-base, nll coefficient=0.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0482—
ACM-AverageModel Scale=14B, Merging Strategy=Activation-informed Merging (ACM)2026.0481.81,337.3
Average MergingModel Scale=14B, Merging Strategy=Arithmetic Merging2026.0481.61,692.4
ACM-TIESModel Scale=14B, Merging Strategy=Activation-informed Merging (ACM)2026.0481.61,273.7
Softmax+Backbone=qwen3-4b-base, nll coefficient=0.0, Setting=Online, Checkpoint selection=Highest checkpoint2026.0481.6—
TIPBase Model=DeepSeek-R1-Distill-Llama-8B2026.0581.41,932
CyclicReflexBase Model=DeepSeek-R1-Distill-Llama-8B2026.0581.42,038
Thinkless2026.0381.32,944
S1Base Model=DeepSeek-R1-Distill-Llama-8B2026.0580.42,205
TIES-MergingModel Scale=14B, Merging Strategy=Arithmetic Merging2026.04801,837
ADaPTthinkBackbone=Qwen2.5-7B2026.0678.21,541
SFT+GRPOBackbone=Qwen2.5-7B2026.0677.41,466
Evo-L2S-05Model Scale=14B, Merging Strategy=Multi-Objective Evolutionary Merging2026.0477.2680.2
ADaPTBackbone=Qwen2.5-7B2026.0676.81,003
TLMREBackbone=Qwen2.5-7B2026.0675.41,073
R-4BBackbone=Qwen2.5-7B2026.0674.4912
Evo-L2S (Length)Model Scale=14B, Merging Strategy=Single-Objective Evolutionary Merging2026.0474695
ARMBackbone=Qwen2.5-7B2026.0673.8893
TL-1.5B-RLBudget=100%2025.1073.52,020
ACM-TAModel Scale=14B, Merging Strategy=Activation-informed Merging (ACM)2026.0469.44,374.3
TL-1.5B-RLBudget=72.2%2025.1069.21,775
TL-Warmup + DiffAdaptBudget=100%2025.1068.31,003
TL-Warmup + DiffAdaptBudget=72.2%2025.1068973
TL-Warmup + DiffAdaptBudget=50.0%2025.1067.6954
ADaPTanswerBackbone=Qwen2.5-7B2026.0667.2427
ADaPTthinkBackbone=Qwen2.5-3B2026.0666.81,492
SFT+GRPOBackbone=Qwen2.5-3B2026.0666.41,483
TLMREBackbone=Qwen2.5-3B2026.0664.61,178
ADaPTBackbone=Qwen2.5-3B2026.0664.61,074
TL-Warmup + DiffAdaptBudget=33.3%2025.1064.4851
TL-1.5B-RLBudget=50.0%2025.1063.31,460
ARMBackbone=Qwen2.5-3B2026.0663973
R-4BBackbone=Qwen2.5-3B2026.0662.81,087
ADaPTanswerBackbone=Qwen2.5-3B2026.0658.4503
TL-1.5B-RLBudget=33.3%2025.1055.61,039
Qwen2.5-14BModel Scale=14B, Merging Strategy=Base Model2026.0449.6598.4
BaseBackbone=Qwen2.5-7B2026.0649.4648
CoLDPolicy Model=Llama-3-70B-Instruct2025.0749.2313.2
CoLD(w/o Joint)Policy Model=Llama-3-70B-Instruct2025.0748370.4
Loose Lips Sink ShipsPolicy Model=Llama-3-70B-Instruct2025.0745.8435.7
Vanilla-Base-PRMPolicy Model=Llama-3-70B-Instruct2025.0744.8555.7
Length PenaltyPolicy Model=Llama-3-70B-Instruct2025.0744.8495.1
SFTBackbone=Qwen2.5-7B2026.0644632
Adaptive Length Bias MitigationPolicy Model=Llama-3-70B-Instruct2025.0743594.8
Uniform AveragePolicy Model=Llama-3-70B-Instruct2025.0740.4608.5
BaseBackbone=Qwen2.5-3B2026.0640.2593
Locally Weighted RegressionPolicy Model=Llama-3-70B-Instruct2025.0739590.7
CoLD(w/o Joint)Policy Model=MetaMath-Mistral-7B2025.0738.6353.4
Length PenaltyPolicy Model=MetaMath-Mistral-7B2025.0737.6448.8
CoLDPolicy Model=MetaMath-Mistral-7B2025.0737.2376.3
Vanilla-Base-PRMPolicy Model=MetaMath-Mistral-7B2025.0737555.2
Loose Lips Sink ShipsPolicy Model=MetaMath-Mistral-7B2025.0734.5441.2
Uniform AveragePolicy Model=MetaMath-Mistral-7B2025.0733.2609.9
CoLDPolicy Model=MuggleMath-13B2025.0731.4309.2
Adaptive Length Bias MitigationPolicy Model=MetaMath-Mistral-7B2025.0731610
CoLD(w/o Joint)Policy Model=MuggleMath-13B2025.0731329
SFTBackbone=Qwen2.5-3B2026.0630.6407
Vanilla-Base-PRMPolicy Model=MuggleMath-13B2025.0730.4411.1
Length PenaltyPolicy Model=MuggleMath-13B2025.0730376.1
Locally Weighted RegressionPolicy Model=MetaMath-Mistral-7B2025.0729.6507.3