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Fused cos sin embedding generation

59 eligible runs
rope

Fused cos/sin embedding generation from frequencies for RoPE. Takes frequency tensor (result of inv_freq @ position_ids) and generates cos/sin embeddings with attention scaling. Concatenates frequencies with themselves, computes cos and sin with scaling in a single pass.

Fastest reported
2.54µsmean · 92% of SOL
jonathanc.netLicense unknown · unknown

Reported evidence · last observed 2026-07-08. Reported by source; not independently reproduced. No public source. License unknown.

No public sourceRun detail →

Current records

Workloadsuite of 16 cases · mean latencyhead_dim = 128 · half_head_dim = 6416 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 · 30 results · last observed 2026-08-06Record history →
#
Implementation
Latency
vs #1
Trust
Observed
1
2.54µs92% SOL
1.00×
Reported · license unknown · no source
2026-07-08

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

no sourcelicense unknownno install recipeRun detail →
2
2.79µs91% SOL
1.10×
Reported · license unknown · no source
2026-06-25

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

no sourcelicense unknownno install recipeRun detail →
3
2.81µs91% SOL
1.11×
Reported · license unknown · no source
2026-07-02

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

no sourcelicense unknownno install recipeRun detail →
4
2.83µs91% SOL
1.12×
Reported · license unknown · no source
2026-06-26

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

no sourcelicense unknownno install recipeRun detail →
5
3.01µs91% SOL
1.19×
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 →
6
3.07µs90% SOL
1.21×
Reported · license unknown · no source
2026-05-28

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

no sourcelicense unknownno install recipeRun detail →
7
3.12µs90% SOL
1.23×
Reported · license unknown · no source
2026-07-08

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

no sourcelicense unknownno install recipeRun detail →
8
3.12µs90% SOL
1.23×
Reported · license unknown · no source
2026-05-19

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

no sourcelicense unknownno install recipeRun detail →
9
3.12µs90% SOL
1.23×
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 →
10
3.13µs90% SOL
1.23×
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 →
11
3.14µs90% SOL
1.24×
Reported · license unknown · no source
2026-05-19

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

no sourcelicense unknownno install recipeRun detail →
12
3.18µs90% SOL
1.25×
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 →
13
3.28µs89% SOL
1.29×
Reported · license unknown · no source
2026-06-06

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

no sourcelicense unknownno install recipeRun detail →
14
3.34µs89% SOL
1.32×
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 →
15
3.35µs89% SOL
1.32×
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 →
16
3.35µs89% SOL
1.32×
Reported · license unknown · no source
2026-07-08

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

no sourcelicense unknownno install recipeRun detail →
17
3.37µs89% SOL
1.33×
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 →
18
3.41µs89% SOL
1.34×
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 →
19
3.47µs89% SOL
1.37×
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 →
20
3.55µs88% SOL
1.40×
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 →
21
3.58µs88% SOL
1.41×
Reported · license unknown · no source
2026-05-28

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

no sourcelicense unknownno install recipeRun detail →
22
3.59µs88% SOL
1.41×
Reported · license unknown · no source
2026-06-14

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

no sourcelicense unknownno install recipeRun detail →
23
3.86µs87% SOL
1.52×
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 →
24
3.91µs87% SOL
1.54×
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=
3.91µs87% SOL
1.54×
Reported · license unknown · no source
2026-04-15

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

no sourcelicense unknownno install recipeRun detail →
25
4.40µs85% 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 →
26
4.40µs85% 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 →
27
5.01µs83% SOL
1.97×
Reported · license unknown · no source
2026-04-22

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

no sourcelicense unknownno install recipeRun detail →
28
9.90µs70% SOL
3.90×
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 →
29
37.7µs36% SOL
14.85×
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 →

Implementations

Implementation
Runtime
Best latency
Evidence
Availability
unknown
2.52µs
1.00×
Reported
license unknown · no source
unknown
2.79µs
1.11×
Reported
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unknown
2.81µs
1.12×
Reported
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unknown
2.83µs
1.13×
Reported
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unknown
2.94µs
1.17×
Reported
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unknown
3.00µs
1.19×
Reported
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unknown
3.01µs
1.20×
Reported
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unknown
3.07µs
1.22×
Reported
license unknown · no source
Show all 59 implementations ›
unknown
3.12µs
1.24×
Reported
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unknown
3.11µs
1.24×
Reported
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unknown
3.12µs
1.24×
Reported
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unknown
3.14µs
1.25×
Reported
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unknown
3.18µs
1.26×
Reported
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unknown
3.34µs
1.33×
Reported
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unknown
3.47µs
1.38×
Reported
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unknown
3.59µs
1.43×
Reported
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unknown
3.67µs
1.46×
Reported
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unknown
3.80µs
1.51×
Reported
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unknown
3.86µs
1.53×
Reported
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unknown
3.91µs
1.56×
Reported
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unknown
4.40µs
1.75×
Reported
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unknown
4.40µs
1.75×
Reported
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unknown
2.54µs
1.01×
Reported
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unknown
2.79µs
1.11×
Reported
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unknown
2.83µs
1.13×
Reported
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unknown
2.91µs
1.16×
Reported
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unknown
2.98µs
1.18×
Reported
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unknown
2.98µs
1.18×
Reported
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unknown
3.02µs
1.20×
Reported
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unknown
3.03µs
1.21×
Reported
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unknown
3.07µs
1.22×
Reported
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unknown
3.08µs
1.23×
Reported
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unknown
3.09µs
1.23×
Reported
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unknown
3.09µs
1.23×
Reported
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unknown
3.13µs
1.24×
Reported
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unknown
3.13µs
1.24×
Reported
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unknown
3.12µs
1.24×
Reported
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unknown
3.12µs
1.24×
Reported
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unknown
3.14µs
1.25×
Reported
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unknown
3.15µs
1.25×
Reported
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unknown
3.16µs
1.26×
Reported
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unknown
3.19µs
1.27×
Reported
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unknown
3.21µs
1.28×
Reported
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unknown
3.28µs
1.30×
Reported
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unknown
3.35µs
1.33×
Reported
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unknown
3.35µs
1.33×
Reported
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unknown
3.37µs
1.34×
Reported
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unknown
3.39µs
1.35×
Reported
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unknown
3.41µs
1.36×
Reported
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unknown
3.55µs
1.41×
Reported
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unknown
3.54µs
1.41×
Reported
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unknown
3.58µs
1.42×
Reported
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unknown
3.91µs
1.56×
Reported
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unknown
5.01µs
1.99×
Reported
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unknown
9.90µs
3.94×
Reported
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unknown
37.7µs
15.00×
Reported
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unknown
2.78µs
1.10×
Reported
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unknown
2.89µs
1.15×
Reported
license unknown · no source
unknown
2.91µs
1.16×
Reported
license unknown · no source

Semantics

Inputs and outputs
freqsfp32 [batch_size, seq_len, half_head_dim]
attention_scalingfp32 scalar
cosbf16 [batch_size, seq_len, head_dim]
sinbf16 [batch_size, seq_len, head_dim]
Axes and behavior
seq_lenvariable
head_dimconstant = 128
batch_sizevariable
half_head_dimhalf_head_dim = head_dim // 2
determinismunspecified
constraintsNo mutation or aliasing
Identity
alias012_fused_cos_sin_embedding_generationmodelhermes-4-405bsha2561d37df9b58ae…
Sources: NVIDIA SOL-ExecBench (2026-08-06)last observed 2026-08-06How records are decidedJSON