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Mathematical Reasoning on GSM8K (5-shot)

82.2AccuracyDepCap
17.293634.144350.99567.8457Feb 1, 2025Apr 23, 2025Jul 14, 2025Oct 4, 2025Dec 25, 2025Mar 17, 2026Jun 7, 2026

Evaluation results

MethodLinks
DepCapBackbone=LLaDA-1.5, Parallel Decode=CAP-Decoding, Block=DepGA-Block2026.0482.220.1—73.9———
AdaBlockBackbone=LLaDA-1.5, Parallel Decode=Confidence, Block=AdaBlock2026.0482.117.8—80.1———
CAP-DecodingBackbone=LLaDA-1.5, Parallel Decode=CAP-Decoding, Block=|B0| = 322026.0482.120.6—69.1———
CLADBackbone Model=LLaDA-1.5, Shot Setting=5-shot2026.0581.6523.074.71————
KLASSBackbone Model=LLaDA-1.5, Shot Setting=5-shot2026.0581.54.770.97————
ConfidenceBackbone=LLaDA-1.5, Parallel Decode=Confidence, Block=|B0| = 162026.0481.417.5—81.9———
Fast-dLLMBackbone Model=LLaDA-1.5, Shot Setting=5-shot2026.0581.3516.613.39————
ConfidenceBackbone=LLaDA-1.5, Parallel Decode=Confidence, Block=|B0| = 322026.0481.218.9—75.5———
DAPDBackbone Model=LLaDA-1.5, Shot Setting=5-shot2026.0581.210.862.22————
VanillaBackbone Model=LLaDA-1.5, Shot Setting=5-shot2026.0581.124.91————
DAWNBackbone Model=LLaDA-1.5, Shot Setting=5-shot2026.0581.1222.634.62————
VanillaBackbone=LLaDA-1.5, Parallel Decode=Vanilla, Block=|B0| = 322026.0481.15.6—256———
R²-dLLM (T)Backbone=Dream-v0-Instruct-7B, Decoding Strategy=SFT to reduce redundancy2026.0480.82——44.91.3——
ConfidenceBackbone=LLaDA-1.5, Parallel Decode=Confidence, Block=|B0| = 642026.0480.719.5—72.8———
DepGA-BlockBackbone=LLaDA-1.5, Parallel Decode=Confidence, Block=DepGA-Block2026.0480.618.1—80.1———
DepGA-BlockBackbone=LLaDA-8B-Instruct, Parallel Decode=Confidence, Block=DepGA-Block2026.0479.218.7—81.4———
Fast-dLLM (threshold)Generation Length=2562025.127990.41————
LLaDABlock size=5122026.06795.89—————
Bf16Backbone=Llama-3.1 8B-Instruct, Bits=16, Prompting=5-shot CoT2025.0278.85——————
LLaDABlock size=10242026.0678.851.86—————
d3LLM-TF-LLaDABlock size=10242026.0678.8546.21—————
DepCapBackbone=LLaDA-8B-Instruct, Parallel Decode=CAP-Decoding, Block=DepGA-Block2026.0478.821.4—74.8———
VanillaBackbone=Dream-v0-Instruct-7B, Decoding Strategy=Vanilla2026.0478.77——25610.4——
PolarQuant44Backbone=Llama-3.1 8B-Instruct, Bits=4.25, Prompting=5-shot CoT2025.0278.77——————
ZipCache-4Backbone=Llama-3.1 8B-Instruct, Bits=4.25, Prompting=5-shot CoT2025.0278.7——————
dParallelBackbone=Dream-v0-Instruct-7B, Decoding Strategy=dParallel2026.0478.47——38.71.3——
KIVI-4Backbone=Llama-3.1 8B-Instruct, Bits=4.25, Prompting=5-shot CoT2025.0278.32——————
ConfidenceBackbone=LLaDA-8B-Instruct, Parallel Decode=Confidence, Block=|B0| = 162026.0478.318.3—84.1———
d3LLM-TF-LLaDABlock size=2562026.0678.2478.85—————
d3LLM-TF-LLaDABlock size=5122026.0678.2468.33—————
LocalLeapBackbone=LLaDA-Instruct-8B, Decoding Strategy=LocalLeap2026.0478.16——64.42.3——
FactorGen. Len.=256, Backbone=LLaDA-8B-Instruct, Cache=PrefixCache2026.0678.196—79,047—3.9—
CadLLMGeneration Length=2562025.1278.01120.071.33————
Fast-dLLMBackbone=LLaDA-Instruct-8B, Decoding Strategy=Fast-dLLM2026.0478.01——86.42.7——
Fast-dLLM-LLaDABlock size=5122026.067864.55—————
AdaBlockBackbone=LLaDA-8B-Instruct, Parallel Decode=Confidence, Block=AdaBlock2026.0477.918.4—83.9———
R²-dLLM (T)Backbone=LLaDA-Instruct-8B, Decoding Strategy=SFT to reduce redundancy2026.0477.86——51.91.7——
LLaDABlock size=2562026.0677.8615.19—————
VanillaBackbone=LLaDA-8B-Instruct, Parallel Decode=Vanilla, Block=|B0| = 322026.0477.66—256———
ThresholdGen. Len.=256, Backbone=LLaDA-8B-Instruct, Cache=PrefixCache, Threshold=τ = 0.92026.0677.673.8—107,135—2.88—
R²-dLLM (F)Backbone=LLaDA-Instruct-8B, Decoding Strategy=training-free redundancy reduction2026.0477.56——63.12.3——
ConfidenceBackbone=LLaDA-8B-Instruct, Parallel Decode=Confidence, Block=|B0| = 642026.0477.520.1—75.6———
Fast-dLLM-LLaDABlock size=10242026.0677.4135.2—————
AsyncLane-LLaDABlock size=5122026.0677.33131.66—————
ConfidenceBackbone=LLaDA-8B-Instruct, Parallel Decode=Confidence, Block=|B0| = 322026.0477.319.6—78.6———
CAP-DecodingBackbone=LLaDA-8B-Instruct, Parallel Decode=CAP-Decoding, Block=|B0| = 322026.0477.321.6—71.5———
Fréchet profile decodingGen. Len.=256, Backbone=LLaDA-8B-Instruct, Cache=PrefixCache, Margin=δ = 0.252026.0677.2103.8—72,881—4.24—
VanillaBackbone=LLaDA-Instruct-8B, Decoding Strategy=Vanilla2026.0477.03——25613.1——
AsyncLane-LLaDABlock size=10242026.0676.8136.34—————
Fast-dLLMBackbone=Dream-v0-Instruct-7B, Decoding Strategy=Fast-dLLM2026.0476.57——63.61.7——
Fast-dLLM-LLaDABlock size=2562026.0676.5784.01—————
ThresholdGen. Len.=512, Backbone=LLaDA-8B-Instruct, Cache=PrefixCache, Threshold=τ = 0.92026.0676.545.3—129,791—2.75—
AsyncLane-LLaDABlock size=2562026.0676.42130.29—————
Int-4Backbone=Llama-3.1 8B-Instruct, Bits=4.25, Prompting=5-shot CoT2025.0276.35——————
Fast-dLLM (factor)Generation Length=2562025.1276.19119.181.32————
LocalLeapBackbone=Dream-v0-Instruct-7B, Decoding Strategy=LocalLeap2026.0476.19——611.4——
Fréchet profile decodingGen. Len.=512, Backbone=LLaDA-8B-Instruct, Cache=PrefixCache, Margin=δ = 0.252026.0675.659.4—91,239—3.9—
R²-dLLM (F)Backbone=Dream-v0-Instruct-7B, Decoding Strategy=training-free redundancy reduction2026.0475.51——53.31.4——
CadLLMGeneration Length=5122025.1275.44107.791.37————
dParallelBackbone=LLaDA-Instruct-8B, Decoding Strategy=dParallel2026.0475.36——39.71.4——
Fast-dLLM (threshold)Generation Length=5122025.1275.2878.771————
VanillaBackbone Model=Dream-v0-Base-7B, Shot Setting=5-shot2026.0575.137.161————
VanillaBackbone=Dream-v0-base-7B, Parallel Decode=Vanilla, Block=|B0| = 322026.0475.17.8—256———
AdaBlockBackbone=Dream-v0-base-7B, Parallel Decode=Confidence, Block=AdaBlock2026.0475.113.1—154.9———
DepGA-BlockBackbone=Dream-v0-base-7B, Parallel Decode=Confidence, Block=DepGA-Block2026.047513.5—149———
DepCapBackbone=Dream-v0-base-7B, Parallel Decode=CAP-Decoding, Block=DepGA-Block2026.0474.813—146.6———
ConfidenceBackbone=Dream-v0-base-7B, Parallel Decode=Confidence, Block=|B0| = 162026.0474.713.7—148.1———
ConfidenceBackbone=Dream-v0-base-7B, Parallel Decode=Confidence, Block=|B0| = 642026.0474.612.8—157.9———
FactorGen. Len.=512, Backbone=LLaDA-8B-Instruct, Cache=PrefixCache2026.0674.653.3—99,580—3.61—
ConfidenceBackbone=Dream-v0-base-7B, Parallel Decode=Confidence, Block=|B0| = 322026.0474.513.2—152.4———
Fast-dLLM (factor)Generation Length=5122025.1274.45100.661.27————
Fast-dLLMBackbone Model=Dream-v0-Base-7B, Shot Setting=5-shot2026.0574.1512.041.68————
CAP-DecodingBackbone=Dream-v0-base-7B, Parallel Decode=CAP-Decoding, Block=|B0| = 322026.0474.112.7—149.9———
CLADBackbone Model=Dream-v0-Base-7B, Shot Setting=5-shot2026.0573.5412.671.77————
DAWNBackbone Model=Dream-v0-Base-7B, Shot Setting=5-shot2026.0572.7113.391.87————
KLASSBackbone Model=Dream-v0-Base-7B, Shot Setting=5-shot2026.0572.47.10.99————
DAPDBackbone Model=Dream-v0-Base-7B, Shot Setting=5-shot2026.0571.9510.621.48————
ZipCache-4Backbone=Llama-2 7B-Chat, Bits=4.25, Prompting=5-shot CoT2025.0223.12——————
PolarQuant44Backbone=Llama-2 7B-Chat, Bits=4.25, Prompting=5-shot CoT2025.0222.61——————
KIVI-4Backbone=Llama-2 7B-Chat, Bits=4.25, Prompting=5-shot CoT2025.0221.61——————
Bf16Backbone=Llama-2 7B-Chat, Bits=16, Prompting=5-shot CoT2025.0220.92——————
Int-4Backbone=Llama-2 7B-Chat, Bits=4.25, Prompting=5-shot CoT2025.0219.79——————
Confidence (Top-1)Generation Length (L)=128, Block Size (B)=128, Number of decoding blocks (K)=12026.06——————62
Confidence (Top-1)Generation Length (L)=128, Block Size (B)=32, Number of decoding blocks (K)=42026.06——————72.8
Confidence (Top-1)Generation Length (L)=128, Block Size (B)=16, Number of decoding blocks (K)=82026.06——————74.4
Confidence (Top-1)Generation Length (L)=256, Block Size (B)=256, Number of decoding blocks (K)=12026.06——————62.8
Confidence (Top-1)Generation Length (L)=256, Block Size (B)=64, Number of decoding blocks (K)=42026.06——————76
Confidence (Top-1)Generation Length (L)=256, Block Size (B)=32, Number of decoding blocks (K)=82026.06——————75.8
Confidence (Top-1)Generation Length (L)=512, Block Size (B)=512, Number of decoding blocks (K)=12026.06——————76.5
Confidence (Top-1)Generation Length (L)=512, Block Size (B)=128, Number of decoding blocks (K)=42026.06——————81
Confidence (Top-1)Generation Length (L)=512, Block Size (B)=64, Number of decoding blocks (K)=82026.06——————81
EntropyGeneration Length (L)=128, Block Size (B)=128, Number of decoding blocks (K)=12026.06——————60
EntropyGeneration Length (L)=128, Block Size (B)=32, Number of decoding blocks (K)=42026.06——————74
EntropyGeneration Length (L)=128, Block Size (B)=16, Number of decoding blocks (K)=82026.06——————70
EntropyGeneration Length (L)=256, Block Size (B)=256, Number of decoding blocks (K)=12026.06——————62
EntropyGeneration Length (L)=256, Block Size (B)=64, Number of decoding blocks (K)=42026.06——————79
EntropyGeneration Length (L)=256, Block Size (B)=32, Number of decoding blocks (K)=82026.06——————79
EntropyGeneration Length (L)=512, Block Size (B)=512, Number of decoding blocks (K)=12026.06——————79.2
EntropyGeneration Length (L)=512, Block Size (B)=128, Number of decoding blocks (K)=42026.06——————79.8
EntropyGeneration Length (L)=512, Block Size (B)=64, Number of decoding blocks (K)=82026.06——————80.2