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RMSNorm h4096

131 eligible runs
rmsnorm

Root Mean Square Normalization with hidden_size=4096. Captured from Llama-3.1-8B. Epsilon is fixed at 1e-5.

Fastest reported
5.75µsmean · 81% of SOL
ac4kLicense unknown · unknown

Reported evidence · last observed 2026-08-03. Reported by source; not independently reproduced. No public source. License unknown.

No public sourceRun detail →

Current records

Source-native comparison · GPU NVIDIA B200 · Workload suite of 14 cases · mean latency · Protocol SOL-ExecBench evaluation stack v1.1 · mean · 31 results · last observed 2026-08-21Record history →
#
Implementation
Latency
vs #1
Trust
Observed
1
5.75µs81% SOL
1.00×
Reported · license unknown · no source
2026-08-03

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
2
6.00µs82% SOL
1.04×
Reported · license unknown · no source
2026-08-19

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
3
6.07µs82% SOL
1.05×
Reported · license unknown · no source
2026-08-02

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
4
6.08µs81% SOL
1.06×
Reported · license unknown · no source
2026-08-21

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
4=
6.08µs80% SOL
1.06×
Reported · license unknown · no source
2026-08-11

Measured exactly what you asked; tied ranks share a number. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
5
6.09µs81% SOL
1.06×
Reported · license unknown · no source
2026-08-21

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
6
6.12µs80% SOL
1.06×
Reported · license unknown · no source
2026-07-30

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
7
6.12µs80% SOL
1.06×
Reported · license unknown · no source
2026-08-14

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
8
6.24µs77% SOL
1.08×
Reported · license unknown · no source
2026-07-22

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
9
6.28µs80% SOL
1.09×
Reported · license unknown · no source
2026-08-01

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
10
6.29µs79% SOL
1.09×
Reported · license unknown · no source
2026-08-08

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
11
6.33µs78% SOL
1.10×
Reported · license unknown · no source
2026-07-31

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
12
6.35µs79% SOL
1.10×
Reported · license unknown · no source
2026-08-03

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
13
6.38µs77% SOL
1.11×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
14
6.42µs78% SOL
1.12×
Reported · license unknown · no source
2026-07-30

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
15
6.46µs78% SOL
1.12×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
16
6.59µs77% SOL
1.14×
Reported · license unknown · no source
2026-07-29

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
17
6.64µs77% SOL
1.15×
Reported · license unknown · no source
2026-08-01

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
18
6.75µs75% SOL
1.17×
Reported · license unknown · no source
2026-07-28

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
19
6.78µs77% SOL
1.18×
Reported · license unknown · no source
2026-07-28

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
20
6.79µs76% SOL
1.18×
Reported · license unknown · no source
2026-07-26

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
21
7.00µs75% SOL
1.22×
Reported · license unknown · no source
2026-07-21

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
22
7.07µs74% SOL
1.23×
Reported · license unknown · no source
2026-07-18

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
23
7.18µs76% SOL
1.25×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
24
7.21µs74% SOL
1.25×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
25
7.68µs72% SOL
1.34×
Reported · license unknown · no source
2026-08-03

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
26
7.73µs72% SOL
1.34×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
27
7.74µs71% SOL
1.35×
Reported · license unknown · no source
2026-07-15

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
28
8.09µs70% SOL
1.41×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
29
8.34µs69% SOL
1.45×
Reported · license unknown · no source
2026-07-10

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →
30
9.64µs62% SOL
1.67×
Reported · license unknown · no source
2026-07-28

Measured exactly what you asked. Reported by source; not independently reproduced.

no sourcelicense unknownno install recipeRun detail →

Implementations

Implementation
Runtime
Best latency
Evidence
Availability
unknown
6.07µs
1.05×
Reported
license unknown · no source
unknown
5.75µs
1.00×
Reported
license unknown · no source
unknown
8.62µs
1.50×
Reported
license unknown · no source
unknown
6.08µs
1.06×
Reported
license unknown · no source
unknown
6.00µs
1.04×
Reported
license unknown · no source
unknown
6.12µs
1.06×
Reported
license unknown · no source
unknown
6.42µs
1.12×
Reported
license unknown · no source
unknown
6.33µs
1.10×
Reported
license unknown · no source
Show all 56 implementations ›
unknown
6.24µs
1.08×
Reported
license unknown · no source
unknown
7.14µs
1.24×
Reported
license unknown · no source
unknown
7.07µs
1.23×
Reported
license unknown · no source
unknown
7.21µs
1.25×
Reported
license unknown · no source
unknown
7.73µs
1.34×
Reported
license unknown · no source
unknown
7.68µs
1.34×
Reported
license unknown · no source
unknown
7.74µs
1.35×
Reported
license unknown · no source
unknown
8.09µs
1.41×
Reported
license unknown · no source
unknown
7.88µs
1.37×
Reported
license unknown · no source
unknown
9.26µs
1.61×
Reported
license unknown · no source
unknown
9.64µs
1.67×
Reported
license unknown · no source
unknown
6.08µs
1.06×
Reported
license unknown · no source
unknown
6.09µs
1.06×
Reported
license unknown · no source
unknown
6.28µs
1.09×
Reported
license unknown · no source
unknown
6.12µs
1.06×
Reported
license unknown · no source
unknown
6.29µs
1.09×
Reported
license unknown · no source
unknown
6.35µs
1.10×
Reported
license unknown · no source
unknown
6.33µs
1.10×
Reported
license unknown · no source
unknown
6.46µs
1.12×
Reported
license unknown · no source
unknown
6.42µs
1.12×
Reported
license unknown · no source
unknown
6.44µs
1.12×
Reported
license unknown · no source
unknown
6.51µs
1.13×
Reported
license unknown · no source
unknown
6.64µs
1.15×
Reported
license unknown · no source
unknown
6.78µs
1.18×
Reported
license unknown · no source
unknown
6.59µs
1.14×
Reported
license unknown · no source
unknown
6.38µs
1.11×
Reported
license unknown · no source
unknown
7.11µs
1.23×
Reported
license unknown · no source
unknown
7.18µs
1.25×
Reported
license unknown · no source
unknown
6.79µs
1.18×
Reported
license unknown · no source
unknown
6.86µs
1.19×
Reported
license unknown · no source
unknown
6.75µs
1.17×
Reported
license unknown · no source
unknown
7.00µs
1.22×
Reported
license unknown · no source
unknown
7.38µs
1.28×
Reported
license unknown · no source
unknown
7.44µs
1.29×
Reported
license unknown · no source
unknown
8.27µs
1.44×
Reported
license unknown · no source
unknown
8.40µs
1.46×
Reported
license unknown · no source
unknown
8.34µs
1.45×
Reported
license unknown · no source
unknown
12.7µs
2.21×
Reported
license unknown · no source
unknown
15.2µs
2.63×
Reported
license unknown · no source
claude-opus-4-1 / cudaefa2b2claude-opus-4-1-20250805
cuda
—
—
Apache-2.0 · source
claude-opus-4-1 / triton2acb3aclaude-opus-4-1-20250805
triton
14.0µs
2.43×
Reported
Apache-2.0 · source
cuda
7.27µs
1.26×
Reproduction-ready
Apache-2.0 · source
triton
9.30µs
1.62×
Reported
Apache-2.0 · source
gpt-5_cuda_927510gpt-5-2025-08-07
cuda
—
—
Apache-2.0 · source
gpt-5 / triton21bcc2gpt-5-2025-08-07
triton
10.1µs
1.75×
Reported
Apache-2.0 · source
cuda
—
—
Apache-2.0 · source
triton
10.1µs
1.75×
Reported
Apache-2.0 · source
flashinfer / wrapper2e27cdFlashInfer-Bench baselines
python
7.59µs
1.32×
Reported
Apache-2.0 · source

Semantics

Inputs and outputs
hidden_statesbf16 [batch_size, hidden_size]
weightbf16 [hidden_size]
outputbf16 [batch_size, hidden_size]
Axes and behavior
batch_sizevariable
hidden_sizeconstant = 4096
determinismunspecified
constraintsNo mutation or aliasing
Identity
aliasrmsnorm_h4096modelllama-3-1-8bsha2562871390f2acf…

Also indexed as 025-rmsnorm-h4096 · reviewed as the same computation; every definition's cohorts are shown here, ranked separately.

Sources: NVIDIA SOL-ExecBench (2026-08-21) · FlashInfer-Bench (2025-10-21) · Apache-2.0last observed 2026-08-21How records are decidedJSON