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RMS norm

51 eligible runs
rmsnorm

Fused residual addition followed by RMSNorm. Computes hidden_states = residual + hidden_states, then applies RMSNorm: output = weight * (x / sqrt(mean(x^2) + eps)). This pattern occurs twice per decoder layer in transformer models.

Fastest reported
16.3µsmean · 80% of SOL
doubleAILicense unknown · unknown

Reported evidence · last observed 2026-06-29. Reported by source; not independently reproduced. No public source. License unknown.

No public sourceRun detail →

Current records

Workloadsuite of 16 cases · mean latencyhidden_size = 819216 cases

Not measured on H100 for this workload. Challenges →

Source-native comparison · GPU NVIDIA B200 · Workload suite of 16 cases · mean latency · Protocol SOL-ExecBench evaluation stack v1.0 · mean · 27 results · last observed 2026-08-23Record history →
#
Implementation
Latency
vs #1
Trust
Observed
1
16.3µs80% SOL
1.00×
Reported · license unknown · no source
2026-06-29

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

no sourcelicense unknownno install recipeRun detail →
2
16.4µs80% SOL
1.00×
Reported · license unknown · no source
2026-07-07

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

no sourcelicense unknownno install recipeRun detail →
3
16.7µs78% SOL
1.02×
Reported · license unknown · no source
2026-06-30

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

no sourcelicense unknownno install recipeRun detail →
4
16.9µs78% SOL
1.04×
Reported · license unknown · no source
2026-07-01

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

no sourcelicense unknownno install recipeRun detail →
5
17.2µs79% SOL
1.06×
Reported · license unknown · no source
2026-06-07

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

no sourcelicense unknownno install recipeRun detail →
6
18.2µs74% SOL
1.12×
Reported · license unknown · no source
2026-05-20

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

no sourcelicense unknownno install recipeRun detail →
7
18.6µs73% SOL
1.14×
Reported · license unknown · no source
2026-05-15

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

no sourcelicense unknownno install recipeRun detail →
8
18.7µs73% SOL
1.15×
Reported · license unknown · no source
2026-04-23

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

no sourcelicense unknownno install recipeRun detail →
9
18.7µs73% SOL
1.15×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
10
19.0µs72% SOL
1.16×
Reported · license unknown · no source
2026-04-14

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

no sourcelicense unknownno install recipeRun detail →
11
19.1µs71% SOL
1.17×
Reported · license unknown · no source
2026-04-14

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

no sourcelicense unknownno install recipeRun detail →
12
19.1µs71% SOL
1.17×
Reported · license unknown · no source
2026-04-14

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

no sourcelicense unknownno install recipeRun detail →
13
19.1µs72% SOL
1.17×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
14
19.3µs71% SOL
1.18×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
15
19.3µs70% SOL
1.19×
Reported · license unknown · no source
2026-07-06

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

no sourcelicense unknownno install recipeRun detail →
16
20.2µs68% SOL
1.24×
Reported · license unknown · no source
2026-04-14

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

no sourcelicense unknownno install recipeRun detail →
17
21.9µs65% SOL
1.34×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
18
22.6µs63% SOL
1.39×
Reported · license unknown · no source
2026-05-08

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

no sourcelicense unknownno install recipeRun detail →
19
23.6µs60% SOL
1.45×
Reported · license unknown · no source
2026-05-06

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

no sourcelicense unknownno install recipeRun detail →
20
24.0µs59% SOL
1.47×
Reported · license unknown · no source
2026-05-05

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

no sourcelicense unknownno install recipeRun detail →
21
24.0µs58% SOL
1.47×
Reported · license unknown · no source
2026-05-11

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

no sourcelicense unknownno install recipeRun detail →
22
24.1µs58% SOL
1.48×
Reported · license unknown · no source
2026-05-11

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

no sourcelicense unknownno install recipeRun detail →
23
25.7µs57% SOL
1.57×
Reported · license unknown · no source
2026-05-06

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

no sourcelicense unknownno install recipeRun detail →
24
28.3µs52% SOL
1.73×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
25
35.7µs44% SOL
2.19×
Reported · license unknown · no source
2026-05-06

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

no sourcelicense unknownno install recipeRun detail →
26
42.1µs40% SOL
2.58×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
27
239.6µs10% SOL
14.70×
Reported · license unknown · no source
2026-04-14

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
16.1µs
1.00×
Reported
license unknown · no source
unknown
16.8µs
1.05×
Reported
license unknown · no source
unknown
16.4µs
1.02×
Reported
license unknown · no source
unknown
17.1µs
1.06×
Reported
license unknown · no source
unknown
16.6µs
1.03×
Reported
license unknown · no source
unknown
16.7µs
1.04×
Reported
license unknown · no source
unknown
16.9µs
1.05×
Reported
license unknown · no source
unknown
17.6µs
1.10×
Reported
license unknown · no source
Show all 51 implementations ›
unknown
17.7µs
1.10×
Reported
license unknown · no source
unknown
18.6µs
1.15×
Reported
license unknown · no source
unknown
18.7µs
1.16×
Reported
license unknown · no source
unknown
19.0µs
1.18×
Reported
license unknown · no source
unknown
19.1µs
1.19×
Reported
license unknown · no source
unknown
19.3µs
1.20×
Reported
license unknown · no source
unknown
20.0µs
1.25×
Reported
license unknown · no source
unknown
20.8µs
1.29×
Reported
license unknown · no source
unknown
21.9µs
1.36×
Reported
license unknown · no source
unknown
22.6µs
1.41×
Reported
license unknown · no source
unknown
23.6µs
1.47×
Reported
license unknown · no source
unknown
42.1µs
2.62×
Reported
license unknown · no source
unknown
16.3µs
1.01×
Reported
license unknown · no source
unknown
17.1µs
1.06×
Reported
license unknown · no source
unknown
17.2µs
1.07×
Reported
license unknown · no source
unknown
16.7µs
1.04×
Reported
license unknown · no source
unknown
17.1µs
1.06×
Reported
license unknown · no source
unknown
17.6µs
1.10×
Reported
license unknown · no source
unknown
17.7µs
1.10×
Reported
license unknown · no source
unknown
17.7µs
1.10×
Reported
license unknown · no source
unknown
17.8µs
1.11×
Reported
license unknown · no source
unknown
17.7µs
1.10×
Reported
license unknown · no source
unknown
18.3µs
1.14×
Reported
license unknown · no source
unknown
17.8µs
1.11×
Reported
license unknown · no source
unknown
18.2µs
1.13×
Reported
license unknown · no source
unknown
18.5µs
1.15×
Reported
license unknown · no source
unknown
18.4µs
1.15×
Reported
license unknown · no source
unknown
18.7µs
1.16×
Reported
license unknown · no source
unknown
18.8µs
1.17×
Reported
license unknown · no source
unknown
19.1µs
1.19×
Reported
license unknown · no source
unknown
19.1µs
1.19×
Reported
license unknown · no source
unknown
19.3µs
1.20×
Reported
license unknown · no source
unknown
20.2µs
1.26×
Reported
license unknown · no source
unknown
24.0µs
1.49×
Reported
license unknown · no source
unknown
24.0µs
1.50×
Reported
license unknown · no source
unknown
24.1µs
1.50×
Reported
license unknown · no source
unknown
25.7µs
1.60×
Reported
license unknown · no source
unknown
28.3µs
1.76×
Reported
license unknown · no source
unknown
35.7µs
2.22×
Reported
license unknown · no source
unknown
239.6µs
14.90×
Reported
license unknown · no source
unknown
16.4µs
1.02×
Reported
license unknown · no source
unknown
16.3µs
1.01×
Reported
license unknown · no source
unknown
16.9µs
1.05×
Reported
license unknown · no source

Semantics

Inputs and outputs
hidden_statesbf16 [batch_size, seq_len, hidden_size]
residualbf16 [batch_size, seq_len, hidden_size]
weightbf16 [hidden_size]
epsfp32 scalar
outputbf16 [batch_size, seq_len, hidden_size]
Axes and behavior
seq_lenvariable
batch_sizevariable
hidden_sizeconstant = 8192
determinismunspecified
constraintsNo mutation or aliasing
Identity
alias069_rms_normmodelllama-3-3-nemotron-70b-selectsha2564217a007b540…
Sources: NVIDIA SOL-ExecBench (2026-08-23)last observed 2026-08-23How records are decidedJSON