Mathematical Reasoning on GSM8K (Accuracy, Time, and Speed Up)
13.4Speed Up (x)ES-dLLM
Evaluation Results
| Method | Links | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ES-dLLMBase Model=Dream-7B-Base, Few-shot=52026.03 | 13.4 | — | — | — | — | — | — | — | 282.67 | — | — | — | — | — | — | 73.92 | |
| Fast-DualModel=Dream 7B, nu=12026.03 | 12.19 | — | 68.39 | — | — | — | — | — | — | 153.21 | — | — | — | — | — | — | |
| GKTTeacher=Llama2-70B, Student=Llama2-7B, Output Length=40-3002024.05 | 10.72 | 7.81 | 28.58 | 14.18 | 13,440.71 | — | — | — | — | — | — | — | — | — | — | — | |
| DualCacheBase Model=Dream-7B-Base, Few-shot=52026.03 | 10.2 | — | — | — | — | — | — | — | 211.67 | — | — | — | — | — | — | 73.16 | |
| Llama2-13BModel Type=Single Model, Output Length=3002024.05 | 10.13 | — | 23.65 | 9.25 | 14,215.12 | — | — | — | — | — | — | — | — | — | — | — | |
| DyLLMModel=Dream 7B, Threshold (τ)=0.995, nu=12026.03 | 9.6 | — | 78.09 | — | — | — | — | — | — | 120.62 | — | — | — | — | — | — | |
| DyLLMModel=Dream 7B, Threshold (τ)=0.9975, nu=12026.03 | 8.89 | — | 79.3 | — | — | — | — | — | — | 111.79 | — | — | — | — | — | — | |
| GKTTeacher=Llama2-70B, Student=Llama2-13B, Output Length=40-3002024.05 | 8.86 | 7.81 | 35.41 | 11.76 | 16,250.34 | — | — | — | — | — | — | — | — | — | — | — | |
| DyLLMModel=LLaDA 8B, Threshold (τ)=0.99, nu=12026.03 | 7.6 | — | 79.08 | — | — | — | — | — | — | 87.21 | — | — | — | — | — | — | |
| DyLLMModel=LLaDA 8B, Threshold (τ)=0.995, nu=12026.03 | 6.99 | — | 78.01 | — | — | — | — | — | — | 80.15 | — | — | — | — | — | — | |
| Fast-DualModel=LLaDA 8B, nu=12026.03 | 6.56 | — | 78.24 | — | — | — | — | — | — | 75.24 | — | — | — | — | — | — | |
| DraftDraft-Target Model Pair=Llama 3.1 70B – Llama 3.2 1B2025.12 | 6.08 | — | — | — | — | — | — | — | — | 99.919 | — | 0.375 | — | — | — | — | |
| iCoTBase Model=Qwen2.5-Base-1.5B2026.02 | 5.71 | — | 34 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| Window-DiffusionModel Variant=Base, Window Size (L)=16, Refresh Cycle=32, Early Stopping=Disabled2026.01 | 5.7 | — | 76.1 | — | — | — | — | — | — | 29.9 | — | — | — | — | — | — | |
| No CoTBase Model=Qwen2.5-Base-1.5B2026.02 | 5.59 | — | 34.11 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| JotBackbone=Dream-7B, tau_max=90, tau_min=1, gamma=0.5, D=82026.02 | 5.54 | — | — | — | — | — | — | — | — | — | — | 78.8 | — | — | — | — | |
| EAGLE3 + DMModel=Llama-3.3-70B-Instruct, Draft length (L)=92026.02 | 5.03 | — | 80 | — | — | — | — | — | — | — | 7.48 | — | — | — | — | — | |
| Eagle3+LTDModel=DeepSeek-R1-Distill-LLaMA 8B, Temperature=0, Decoding Mode=Greedy2026.03 | 4.98 | — | — | — | — | — | — | — | — | — | 8.53 | — | — | — | — | — | |
| EAGLE3 + DMModel=Llama-3.3-70B-Instruct, Draft length (L)=72026.02 | 4.86 | — | 81.25 | — | — | — | — | — | — | — | 7.07 | — | — | — | — | — | |
| EAGLE3Model=Llama-3.3-70B-Instruct, Draft length (L)=92026.02 | 4.68 | — | 78.75 | — | — | — | — | — | — | — | 6.71 | — | — | — | — | — | |
| EAGLE3Model=Llama-3.3-70B-Instruct, Draft length (L)=72026.02 | 4.65 | — | 78.75 | — | — | — | — | — | — | — | 6.71 | — | — | — | — | — | |
| Eagle3+LTDModel=Vicuna-13B-v1.3, Temperature=0, Decoding Mode=Greedy2026.03 | 4.59 | — | — | — | — | — | — | — | — | — | 7.38 | — | — | — | — | — | |
| DAWNModel=Dream-v0-Instruct-7B2026.02 | 4.52 | — | 73.16 | — | — | — | — | — | 32.99 | — | — | — | — | — | — | — | |
| LocalLeapModel=Dream-v0-Instruct-7B2026.02 | 4.51 | — | 73.24 | — | — | — | — | — | 32.94 | — | — | — | — | — | — | — | |
| Fast-dLLMModel Variant=Base, Caching Strategy=Dual-Cache2026.01 | 4.5 | — | 74.4 | — | — | — | — | — | — | 24.1 | — | — | — | — | — | — | |
| DAWNModel=LLaDA-1.52026.02 | 4.48 | — | 80.82 | — | — | — | — | — | 43.24 | — | — | — | — | — | — | — | |
| Fast-PrefixModel=LLaDA 8B, nu=12026.03 | 4.45 | — | 77.18 | — | — | — | — | — | — | 51.05 | — | — | — | — | — | — | |
| TALONModel=DSL-8B, Temperature=02026.01 | 4.43 | — | — | — | — | — | — | — | — | — | — | 7.46 | — | — | — | — | |
| LocalLeapModel=LLaDA-1.52026.02 | 4.41 | — | 80.14 | — | — | — | — | — | 42.6 | — | — | — | — | — | — | — | |
| DOUBLEBase Model=LLaMA3.3-70B2026.01 | 4.41 | — | — | — | — | — | — | — | — | — | — | — | — | 10.86 | — | — | |
| DAWNModel=LLaDA-8B-Instruct2026.02 | 4.33 | — | 77.94 | — | — | — | — | — | 44.72 | — | — | — | — | — | — | — | |
| EAGLE3 + DMModel=Llama-3.3-70B-Instruct, Draft length (L)=52026.02 | 4.32 | — | 78.75 | — | — | — | — | — | — | — | 6.09 | — | — | — | — | — | |
| LocalLeapModel=LLaDA-8B-Instruct2026.02 | 4.28 | — | 77.33 | — | — | — | — | — | 44.19 | — | — | — | — | — | — | — | |
| EAGLE-3Model=DSL-8B, Temperature=02026.01 | 4.24 | — | — | — | — | — | — | — | — | — | — | 7.4 | — | — | — | — | |
| EAGLE3Base Model=LLaMA3.3-70B2026.01 | 4.21 | — | — | — | — | — | — | — | — | — | — | — | — | 6.02 | — | — | |
| JotModel=Dream-7B2026.02 | 4.21 | — | — | — | — | — | — | — | — | — | — | — | 78.8 | — | — | — | |
| Fast-dLLMModel Variant=Base, Caching Strategy=Prefix-Cache2026.01 | 4.2 | — | 74.7 | — | — | — | — | — | — | 22.5 | — | — | — | — | — | — | |
| EAGLE3Model=Llama-3.3-70B-Instruct, Draft length (L)=52026.02 | 4.19 | — | 78.75 | — | — | — | — | — | — | — | 5.82 | — | — | — | — | — | |
| Eagle3+GSModel=DeepSeek-R1-Distill-LLaMA 8B, Temperature=12026.03 | 4.14 | — | — | — | — | — | — | — | — | — | 7.64 | — | — | — | — | — | |
| Eagle3+LTDModel=DeepSeek-R1-Distill-LLaMA 8B, Temperature=12026.03 | 4.02 | — | — | — | — | — | — | — | — | — | 7.95 | — | — | — | — | — | |
| TALONModel=Vicuna-13B, Temperature=02026.01 | 3.99 | — | — | — | — | — | — | — | — | — | — | 6.8 | — | — | — | — | |
| Eagle3Model=DeepSeek-R1-Distill-LLaMA 8B, Temperature=12026.03 | 3.97 | — | — | — | — | — | — | — | — | — | 6.89 | — | — | — | — | — | |
| ConfidenceModel=Dream-v0-Instruct-7B2026.02 | 3.95 | — | 75.2 | — | — | — | — | — | 28.81 | — | — | — | — | — | — | — | |
| EAGLE3Base Model=LLaMA3.3-70B, Temperature=1, Decoding Setting=non-greedy2026.01 | 3.91 | — | — | — | — | — | — | — | — | — | — | — | 5.6 | — | — | — | |
| DOUBLEBase Model=LLaMA3.3-70B, Temperature=1, Decoding Setting=non-greedy2026.01 | 3.89 | — | — | — | — | — | — | — | — | — | — | — | 9.58 | — | — | — | |
| EAGLE-3Model=Vicuna-13B, Temperature=02026.01 | 3.87 | — | — | — | — | — | — | — | — | — | — | 6.74 | — | — | — | — | |
| DOUBLEBase Model=Deepseek-33B2026.01 | 3.83 | — | — | — | — | — | — | — | — | — | — | — | — | 10.86 | — | — | |
| GKTTeacher=Llama2-13B, Student=Bloom-7B, Output Length=40-3002024.05 | 3.82 | 4.62 | 10.31 | 5.91 | 3,275.9 | — | — | — | — | — | — | — | — | — | — | — | |
| TALONModel=Llama3-8B, Temperature=02026.01 | 3.81 | — | — | — | — | — | — | — | — | — | — | 6.24 | — | — | — | — | |
| Eagle3+GSModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.81 | — | — | — | — | — | — | — | — | — | 6.39 | — | — | — | — | — | |
| Eagle3+LTDModel=Llama-3.1-8B-Instruct, Temperature=0, Decoding Mode=Greedy2026.03 | 3.79 | — | — | — | — | — | — | — | — | — | 6.73 | — | — | — | — | — | |
| JotBackbone=LLaDA-8B, tau_max=30, tau_min=1, gamma=0.5, D=82026.02 | 3.75 | — | — | — | — | — | — | — | — | — | — | 73.4 | — | — | — | — | |
| Eagle3+LTDModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.75 | — | — | — | — | — | — | — | — | — | 6.38 | — | — | — | — | — | |
| FailFastTarget Model=Qwen2.5-32B-Instruct2025.12 | 3.71 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| Eagle3Model=Vicuna-13B-v1.3, Temperature=12026.03 | 3.68 | — | — | — | — | — | — | — | — | — | 5.64 | — | — | — | — | — | |
| Eagle3+DiscoModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.67 | — | — | — | — | — | — | — | — | — | 5.74 | — | — | — | — | — | |
| dLLM-CacheModel=Dream 7B, nu=12026.03 | 3.67 | — | 72.4 | — | — | — | — | — | — | 46.19 | — | — | — | — | — | — | |
| OPT-TreeModel=Vicuna-13B, Temperature=02026.01 | 3.65 | — | — | — | — | — | — | — | — | — | — | 6.77 | — | — | — | — | |
| Eagle3+Spec++Model=Vicuna-13B-v1.3, Temperature=12026.03 | 3.64 | — | — | — | — | — | — | — | — | — | 5.63 | — | — | — | — | — | |
| EAGLE-3Model=Llama3-8B, Temperature=02026.01 | 3.63 | — | — | — | — | — | — | — | — | — | — | 6.42 | — | — | — | — | |
| Eagle3+DDDModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.58 | — | — | — | — | — | — | — | — | — | 5.46 | — | — | — | — | — | |
| PEARLBase Model=LLaMA3.3-70B2026.01 | 3.52 | — | — | — | — | — | — | — | — | — | — | — | — | 8.57 | — | — | |
| Fast-PrefixModel=Dream 7B, nu=12026.03 | 3.45 | — | 74.45 | — | — | — | — | — | — | 43.32 | — | — | — | — | — | — | |
| Eagle3Model=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.43 | — | — | — | — | — | — | — | — | — | 5.24 | — | — | — | — | — | |
| STDDBackbone=Dream-7B2025.12 | 3.41 | — | 75 | — | — | — | — | — | — | 30.3 | — | — | — | — | — | — | |
| Eagle3+C2TModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.41 | — | — | — | — | — | — | — | — | — | 5.63 | — | — | — | — | — | |
| GKTTeacher=Llama2-13B, Student=Bloom-3B, Output Length=40-3002024.05 | 3.4 | 4.62 | 7.73 | 5.38 | 4,186.22 | — | — | — | — | — | — | — | — | — | — | — | |
| ConfidenceModel=LLaDA-1.52026.02 | 3.37 | — | 80.74 | — | — | — | — | — | 32.49 | — | — | — | — | — | — | — | |
| Eagle3+GSModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.36 | — | — | — | — | — | — | — | — | — | 5.5 | — | — | — | — | — | |
| Eagle3+DDDModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.35 | — | — | — | — | — | — | — | — | — | 4.09 | — | — | — | — | — | |
| Eagle3+LTDModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.35 | — | — | — | — | — | — | — | — | — | 5.09 | — | — | — | — | — | |
| Eagle3+Spec++Model=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.33 | — | — | — | — | — | — | — | — | — | 4.74 | — | — | — | — | — | |
| Eagle3+GTModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.32 | — | — | — | — | — | — | — | — | — | 5.26 | — | — | — | — | — | |
| PEARLBase Model=LLaMA3.3-70B, Temperature=1, Decoding Setting=non-greedy2026.01 | 3.31 | — | — | — | — | — | — | — | — | — | — | — | 8.06 | — | — | — | |
| Eagle3+GTModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.28 | — | — | — | — | — | — | — | — | — | 4.27 | — | — | — | — | — | |
| Eagle3+C2TModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.28 | — | — | — | — | — | — | — | — | — | 5.24 | — | — | — | — | — | |
| Eagle3+DiscoModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.26 | — | — | — | — | — | — | — | — | — | 5.08 | — | — | — | — | — | |
| Eagle3+SvipModel=Vicuna-13B-v1.3, Temperature=12026.03 | 3.26 | — | — | — | — | — | — | — | — | — | 5.78 | — | — | — | — | — | |
| ConfidenceModel=LLaDA-8B-Instruct2026.02 | 3.24 | — | 78.39 | — | — | — | — | — | 33.44 | — | — | — | — | — | — | — | |
| Eagle3+SvipModel=Llama-3.1-8B-Instruct, Temperature=12026.03 | 3.21 | — | — | — | — | — | — | — | — | — | 4.92 | — | — | — | — | — | |
| dLLM-CacheModel=LLaDA 8B, nu=12026.03 | 3.21 | — | 77.18 | — | — | — | — | — | — | 36.77 | — | — | — | — | — | — | |
| CoconutBase Model=Qwen2.5-Base-1.5B2026.02 | 3.14 | — | 32.65 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| Fast-dLLMTarget Model=Qwen2.5-32B-Instruct2025.12 | 3.1 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| PACER + OuroborosModels=Deepseek-Coder 1.3B/33B2026.02 | 3.09 | — | — | — | — | — | — | — | — | 56.31 | 5.99 | — | — | — | — | — | |
| STDDBackbone=LLaDA-8B2025.12 | 3.07 | — | 83.1 | — | — | — | — | — | — | 16.32 | — | — | — | — | — | — | |
| JotModel=LLaDA-8B2026.02 | 3.07 | — | — | — | — | — | — | — | — | — | — | — | 73.4 | — | — | — | |
| EDA (Ours)Temperature=0, Target Model=Qwen2.5-Math-7B2026.03 | 3.06 | — | — | — | — | — | — | — | — | — | 4.79 | — | — | — | — | — | |
| FailFastTarget Model=Qwen2.5-14B-Instruct2025.12 | 3.04 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| Eagle3+LTDModel=Qwen3-32B, Temperature=0, Decoding Mode=Greedy2026.03 | 3.02 | — | — | — | — | — | — | — | — | — | 3.9 | — | — | — | — | — | |
| OuroborosModels=Deepseek-Coder 1.3B/33B2026.02 | 2.89 | — | — | — | — | — | — | — | — | 52.66 | 4.43 | — | — | — | — | — | |
| EDA (Base)Temperature=0, Target Model=Qwen2.5-Math-7B2026.03 | 2.89 | — | — | — | — | — | — | — | — | — | 4.4 | — | — | — | — | — | |
| OuroborosBase Model=Deepseek-33B2026.01 | 2.88 | — | — | — | — | — | — | — | — | — | — | — | — | 5.95 | — | — | |
| Full-FTTemperature=0, Target Model=Qwen2.5-Math-7B2026.03 | 2.88 | — | — | — | — | — | — | — | — | — | 4.37 | — | — | — | — | — | |
| LoRATemperature=0, Target Model=Qwen2.5-Math-7B2026.03 | 2.84 | — | — | — | — | — | — | — | — | — | 4.32 | — | — | — | — | — | |
| DOUBLEBase Model=LLaMA2-70B2026.01 | 2.83 | — | — | — | — | — | — | — | — | — | — | — | — | 7.86 | — | — | |
| Eagle3+LTDModel=Qwen3 32B, Temperature=12026.03 | 2.83 | — | — | — | — | — | — | — | — | — | 3.76 | — | — | — | — | — | |
| PEARLBase Model=Deepseek-33B2026.01 | 2.82 | — | — | — | — | — | — | — | — | — | — | — | — | 7.83 | — | — | |
| AR Draft ModelTarget Model=Qwen2.5-32B-Instruct2025.12 | 2.82 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| Eagle3+LTDModel=Qwen3-14B, Temperature=0, Decoding Mode=Greedy2026.03 | 2.82 | — | — | — | — | — | — | — | — | — | 3.92 | — | — | — | — | — | |
| DKV-CacheModel Variant=Base2026.01 | 2.8 | — | 74.1 | — | — | — | — | — | — | 14.8 | — | — | — | — | — | — |