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Mathematical Reasoning on MATH500 (Accuracy)

84.6AccuracyINSTRUCT (BASE)
26.77641.78856.871.812Feb 5, 2026

Evaluation results

MethodLinks
INSTRUCT (BASE)Backbone=Qwen3-4B-Instruct, Compute Cost (Sampling Budget N)=N/A, Trainable Pairs=N/A, Processing Time=N/A2026.0284.6
DPO-R1 (ZHANG ET AL., 2025)Backbone=Qwen3-4B-Instruct, Compute Cost (Sampling Budget N)=N = 8, Trainable Pairs=8,403, Processing Time=2.82026.0284.4
DPO-R1 (HIGH)Backbone=Qwen3-4B-Instruct, Compute Cost (Sampling Budget N)=N = 16, Trainable Pairs=8,964, Processing Time=5.22026.0284.4
PACEBackbone=Qwen3-8B-Instruct, Compute Cost (Sampling Budget N)=2 < N < 3, Trainable Pairs=9,028, Processing Time=1.72026.0284.4
DPO-R1 (LOW)Backbone=Qwen3-4B-Instruct, Compute Cost (Sampling Budget N)=N = 2, Trainable Pairs=3,479, Processing Time=0.92026.0284.2
DPO-R1 (MIDDLE)Backbone=Qwen3-4B-Instruct, Compute Cost (Sampling Budget N)=N = 4, Trainable Pairs=5,127, Processing Time=1.22026.0284.2
DPO-R1 (LOW)Backbone=Qwen3-8B-Instruct, Compute Cost (Sampling Budget N)=N = 2, Trainable Pairs=3,403, Processing Time=1.42026.0283.2
DPO-R1 (ZHANG ET AL., 2025)Backbone=Qwen3-8B-Instruct, Compute Cost (Sampling Budget N)=N = 8, Trainable Pairs=10,211, Processing Time=4.82026.0283.2
DPO-R1 (HIGH)Backbone=Qwen3-8B-Instruct, Compute Cost (Sampling Budget N)=N = 16, Trainable Pairs=10,543, Processing Time=7.22026.0283.2
DPO-R1 (MIDDLE)Backbone=Qwen3-8B-Instruct, Compute Cost (Sampling Budget N)=N = 4, Trainable Pairs=6,073, Processing Time=2.22026.0282.4
PACEBackbone=Qwen3-4B-Instruct, Compute Cost (Sampling Budget N)=2 < N < 3, Trainable Pairs=10,717, Processing Time=1.02026.0282.2
INSTRUCT (BASE)Backbone=Qwen3-8B-Instruct, Compute Cost (Sampling Budget N)=N/A, Trainable Pairs=N/A, Processing Time=N/A2026.0281.2
DPO-R1 (LOW)Backbone=Llama-3.1-8B-Instruct, Compute Cost (Sampling Budget N)=N = 2, Trainable Pairs=5,246, Processing Time=0.82026.0237.8
PACEBackbone=Llama-3.1-8B-Instruct, Compute Cost (Sampling Budget N)=2 < N < 3, Trainable Pairs=6,197, Processing Time=0.82026.0237
DPO-R1 (ZHANG ET AL., 2025)Backbone=Llama-3.1-8B-Instruct, Compute Cost (Sampling Budget N)=N = 8, Trainable Pairs=13,224, Processing Time=2.42026.0235.8
DPO-R1 (HIGH)Backbone=Llama-3.1-8B-Instruct, Compute Cost (Sampling Budget N)=N = 16, Trainable Pairs=16,241, Processing Time=4.02026.0235.6
DPO-R1 (MIDDLE)Backbone=Llama-3.1-8B-Instruct, Compute Cost (Sampling Budget N)=N = 4, Trainable Pairs=9,692, Processing Time=1.62026.0234.8
INSTRUCT (BASE)Backbone=Llama-3.1-8B-Instruct, Compute Cost (Sampling Budget N)=N/A, Trainable Pairs=N/A, Processing Time=N/A2026.0229