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Embedding with initial LayerNorm backward

53 eligible runs
rmsnorm

Backward pass for fused embedding lookup and RMSNorm. Computes gradients for embedding table (scatter-add) and RMSNorm weight (reduction). The forward pass performs: embed_lookup -> RMSNorm(x * rsqrt(mean(x^2) + eps) * weight).

Fastest reported
34.8µsmean · 90% of SOL
HyraLicense unknown · unknown

Reported evidence · last observed 2026-07-16. Reported by source; not independently reproduced. No public source. License unknown.

No public sourceRun detail →

Current records

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 v1.1 · mean · 39 results · last observed 2026-08-17Record history →
#
Implementation
Latency
vs #1
Trust
Observed
1
34.8µs90% SOL
1.00×
Reported · license unknown · no source
2026-07-16

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

no sourcelicense unknownno install recipeRun detail →
2
42.5µs87% SOL
1.22×
Reported · license unknown · no source
2026-07-27

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

no sourcelicense unknownno install recipeRun detail →
3
43.5µs86% 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 →
4
46.5µs85% SOL
1.33×
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 →
5
47.5µs85% SOL
1.36×
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 →
6
48.4µs84% SOL
1.39×
Reported · license unknown · no source
2026-08-17

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

no sourcelicense unknownno install recipeRun detail →
7
51.3µs83% SOL
1.47×
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 →
8
57.5µs81% SOL
1.65×
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 →
9
58.3µs81% SOL
1.67×
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 →
10
61.6µs80% SOL
1.77×
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 →
11
111.8µs66% SOL
3.21×
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 →
12
141.1µs60% SOL
4.05×
Reported · license unknown · no source
2026-08-13

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

no sourcelicense unknownno install recipeRun detail →
13
141.7µs60% SOL
4.07×
Reported · license unknown · no source
2026-08-15

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

no sourcelicense unknownno install recipeRun detail →
14
142.6µs60% SOL
4.09×
Reported · license unknown · no source
2026-08-15

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

no sourcelicense unknownno install recipeRun detail →
15
142.7µs60% SOL
4.10×
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 →
16
144.5µs59% SOL
4.15×
Reported · license unknown · no source
2026-08-13

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

no sourcelicense unknownno install recipeRun detail →
17
145.2µs59% SOL
4.17×
Reported · license unknown · no source
2026-08-13

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

no sourcelicense unknownno install recipeRun detail →
18
147.3µs59% SOL
4.23×
Reported · license unknown · no source
2026-08-16

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

no sourcelicense unknownno install recipeRun detail →
19
148.6µs59% SOL
4.27×
Reported · license unknown · no source
2026-08-09

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

no sourcelicense unknownno install recipeRun detail →
20
148.6µs59% SOL
4.27×
Reported · license unknown · no source
2026-08-12

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

no sourcelicense unknownno install recipeRun detail →
21
152.1µs58% SOL
4.37×
Reported · license unknown · no source
2026-08-16

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

no sourcelicense unknownno install recipeRun detail →
22
152.3µs58% SOL
4.37×
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 →
23
152.9µs58% SOL
4.39×
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 →
24
160.4µs57% SOL
4.60×
Reported · license unknown · no source
2026-08-11

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

no sourcelicense unknownno install recipeRun detail →
25
165.4µs56% SOL
4.75×
Reported · license unknown · no source
2026-08-09

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

no sourcelicense unknownno install recipeRun detail →
26
167.5µs56% SOL
4.81×
Reported · license unknown · no source
2026-08-06

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

no sourcelicense unknownno install recipeRun detail →
27
173.3µs55% SOL
4.98×
Reported · license unknown · no source
2026-08-15

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

no sourcelicense unknownno install recipeRun detail →
28
175.6µs55% SOL
5.04×
Reported · license unknown · no source
2026-08-06

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

no sourcelicense unknownno install recipeRun detail →
29
175.7µs55% SOL
5.04×
Reported · license unknown · no source
2026-08-10

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

no sourcelicense unknownno install recipeRun detail →
30
180.5µs54% SOL
5.18×
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 →
31
181.1µs54% SOL
5.20×
Reported · license unknown · no source
2026-08-06

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

no sourcelicense unknownno install recipeRun detail →
32
181.3µs54% SOL
5.20×
Reported · license unknown · no source
2026-08-09

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

no sourcelicense unknownno install recipeRun detail →
33
212.0µs49% SOL
6.09×
Reported · license unknown · no source
2026-07-24

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

no sourcelicense unknownno install recipeRun detail →
34
231.0µs48% SOL
6.63×
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 →
35
232.3µs48% SOL
6.67×
Reported · license unknown · no source
2026-08-12

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

no sourcelicense unknownno install recipeRun detail →
36
232.3µs48% SOL
6.67×
Reported · license unknown · no source
2026-08-11

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

no sourcelicense unknownno install recipeRun detail →
37
234.6µs48% SOL
6.74×
Reported · license unknown · no source
2026-08-15

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

no sourcelicense unknownno install recipeRun detail →
38
267.6µs45% SOL
7.69×
Reported · license unknown · no source
2026-08-07

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

no sourcelicense unknownno install recipeRun detail →
39
290.4µs42% SOL
8.34×
Reported · license unknown · no source
2026-08-10

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
34.8µs
1.00×
Reported
license unknown · no source
unknown
42.5µs
1.22×
Reported
license unknown · no source
unknown
42.9µs
1.23×
Reported
license unknown · no source
unknown
46.3µs
1.33×
Reported
license unknown · no source
unknown
47.2µs
1.36×
Reported
license unknown · no source
unknown
48.4µs
1.39×
Reported
license unknown · no source
unknown
58.1µs
1.67×
Reported
license unknown · no source
unknown
57.5µs
1.65×
Reported
license unknown · no source
Show all 53 implementations ›
unknown
60.0µs
1.72×
Reported
license unknown · no source
unknown
111.7µs
3.21×
Reported
license unknown · no source
unknown
278.6µs
8.00×
Reported
license unknown · no source
unknown
43.5µs
1.25×
Reported
license unknown · no source
unknown
46.5µs
1.33×
Reported
license unknown · no source
unknown
47.5µs
1.36×
Reported
license unknown · no source
unknown
51.3µs
1.47×
Reported
license unknown · no source
unknown
51.6µs
1.48×
Reported
license unknown · no source
unknown
58.3µs
1.67×
Reported
license unknown · no source
unknown
61.6µs
1.77×
Reported
license unknown · no source
unknown
111.8µs
3.21×
Reported
license unknown · no source
unknown
141.7µs
4.07×
Reported
license unknown · no source
unknown
142.6µs
4.09×
Reported
license unknown · no source
unknown
145.2µs
4.17×
Reported
license unknown · no source
unknown
147.3µs
4.23×
Reported
license unknown · no source
unknown
148.6µs
4.27×
Reported
license unknown · no source
unknown
148.6µs
4.27×
Reported
license unknown · no source
unknown
150.5µs
4.32×
Reported
license unknown · no source
unknown
152.1µs
4.37×
Reported
license unknown · no source
unknown
152.3µs
4.37×
Reported
license unknown · no source
unknown
152.9µs
4.39×
Reported
license unknown · no source
unknown
160.4µs
4.60×
Reported
license unknown · no source
unknown
165.4µs
4.75×
Reported
license unknown · no source
unknown
167.5µs
4.81×
Reported
license unknown · no source
unknown
173.3µs
4.98×
Reported
license unknown · no source
unknown
175.7µs
5.04×
Reported
license unknown · no source
unknown
175.6µs
5.04×
Reported
license unknown · no source
unknown
180.5µs
5.18×
Reported
license unknown · no source
unknown
181.3µs
5.20×
Reported
license unknown · no source
unknown
181.1µs
5.20×
Reported
license unknown · no source
unknown
198.6µs
5.70×
Reported
license unknown · no source
unknown
212.0µs
6.09×
Reported
license unknown · no source
unknown
227.9µs
6.54×
Reported
license unknown · no source
unknown
232.3µs
6.67×
Reported
license unknown · no source
unknown
234.6µs
6.74×
Reported
license unknown · no source
unknown
232.3µs
6.67×
Reported
license unknown · no source
unknown
231.0µs
6.63×
Reported
license unknown · no source
unknown
267.6µs
7.69×
Reported
license unknown · no source
unknown
301.8µs
8.67×
Reported
license unknown · no source
unknown
290.4µs
8.34×
Reported
license unknown · no source
unknown
542.8µs
15.58×
Reported
license unknown · no source
unknown
778.5µs
22.35×
Reported
license unknown · no source
unknown
141.1µs
4.05×
Reported
license unknown · no source
unknown
142.7µs
4.10×
Reported
license unknown · no source
unknown
144.5µs
4.15×
Reported
license unknown · no source

Semantics

Inputs and outputs
grad_outputbf16 [batch_size, seq_len, hidden_size]
input_idsint64 [batch_size, seq_len]
hidden_states_fp32fp32 [batch_size, seq_len, hidden_size]
rstdfp32 [batch_size, seq_len, 1]
norm_weightbf16 [hidden_size]
grad_embed_weightbf16 [vocab_size, hidden_size]
grad_norm_weightbf16 [hidden_size]
Axes and behavior
seq_lenvariable
batch_sizevariable
vocab_sizeconstant = 65536
hidden_sizeconstant = 4096
determinismunspecified
constraintsNo mutation or aliasing
Identity
alias087_embedding_with_initial_layernorm_backwardmodeljamba-mini-1-7-rpsha256735b3ed39b97…
Sources: NVIDIA SOL-ExecBench (2026-08-17)last observed 2026-08-17How records are decidedJSON