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Mathematical Reasoning on SAT

98.2AccuracyQAP200
32.47249.53666.683.664Jul 4, 2024Oct 29, 2024Feb 23, 2025Jun 20, 2025Oct 15, 2025Feb 9, 2026Jun 6, 2026

Evaluation results

MethodLinks
QAP200Model=GPT-4 Turbo, Constraint (N)=2002024.0798.2
QAP150Model=GPT-4 Turbo, Constraint (N)=1502024.0797.3
PS+Model=GPT-4 Turbo2024.0797.3
BaselineModel=GPT-4 Turbo2024.0796.8
QAP100Model=GPT-4 Turbo, Constraint (N)=1002024.0796.8
TADBModel=GPT-4 Turbo2024.0796.8
QAP50Model=GPT-4 Turbo, Constraint (N)=502024.0795.9
CoTModel=GPT-4 Turbo2024.0795
QAP25Model=GPT-4 Turbo, Constraint (N)=252024.0794.5
Question-Analysis PromptingModel=GPT-3.5 Turbo, Word Count Constraint (n)=1502024.0778.6
PartitionSelBackbone=Qwen2.5-3B, Fine-tuning protocol=LoRA, Data mixture strategy=PartitionSel2026.0676.36
PartitionSelBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0675.45
Question-Analysis PromptingModel=GPT-3.5 Turbo, Word Count Constraint (n)=1002024.0775
Question-Analysis PromptingModel=GPT-3.5 Turbo, Word Count Constraint (n)=2002024.0775
Take A Deep BreathModel=GPT-3.5 Turbo, Prompt=TADB2024.0774.5
DoReMiBackbone=Qwen2.5-3B, Fine-tuning protocol=LoRA, Data mixture strategy=DoReMi2026.0672.27
IDBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0671.82
BaselineModel=GPT-3.5 Turbo, Prompt=Baseline2024.0770.9
Plan-and-Solve PlusModel=GPT-3.5 Turbo, Prompt=PS+2024.0770.9
COLMBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0668.64
IWDBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0668.18
GradNormBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0667.27
GREATSBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0667.27
RandomBackbone=Qwen2.5-3B, Fine-tuning Dataset=Meta-MathQA, Subset Fraction=50%2026.0665.94
Chain-of-ThoughtModel=GPT-3.5 Turbo, Prompt=CoT2024.0765.9
Question-Analysis PromptingModel=GPT-3.5 Turbo, Word Count Constraint (n)=502024.0752.7
PartitionSelBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0644.09
PartitionSelBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0644.09
GradNormBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0640.91
GradNormBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0640.91
COLMBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0639.09
COLMBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0639.09
IDBase Model=Llama-3.2-3B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0638.64
IDBackbone=Llama-3.1-8B, Training Dataset=MetaMathQA, Subset Ratio=12.5%2026.0638.64
Question-Analysis PromptingModel=GPT-3.5 Turbo, Word Count Constraint (n)=252024.0735