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Mamba SSM dt projection softplus clamp backward

29 eligible runs
ssm

Backward pass for Mamba SSM dt projection with softplus and clamp. Computes gradients through clamp, softplus, and bias addition operations.

Fastest reported
5.84µsmean · 86% of SOL
GeometricLicense unknown · unknown

Reported evidence · last observed 2026-08-15. Reported by source; not independently reproduced. No public source. License unknown.

No public sourceRun detail →

Current records

Workloadsuite of 16 cases · mean latencynum_heads = 4016 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 v1.1 · mean · 17 results · last observed 2026-08-24Record history →
#
Implementation
Latency
vs #1
Trust
Observed
1
5.84µs86% SOL
1.00×
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 →
2
5.86µs86% 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 →
3
6.22µs85% SOL
1.06×
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
6.52µs84% SOL
1.11×
Reported · license unknown · no source
2026-08-24

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

no sourcelicense unknownno install recipeRun detail →
5
6.54µs84% 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 →
6
6.66µs84% SOL
1.14×
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 →
7
6.92µs83% SOL
1.18×
Reported · license unknown · no source
2026-08-23

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

no sourcelicense unknownno install recipeRun detail →
8
7.09µs83% SOL
1.21×
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 →
9
7.30µs83% SOL
1.25×
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 →
10
7.51µs82% SOL
1.29×
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
7.53µs82% SOL
1.29×
Reported · license unknown · no source
2026-08-23

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

no sourcelicense unknownno install recipeRun detail →
12
7.56µs82% SOL
1.29×
Reported · license unknown · no source
2026-08-24

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

no sourcelicense unknownno install recipeRun detail →
13
7.71µs81% SOL
1.32×
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
8.56µs80% SOL
1.47×
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 →
15
9.01µs79% SOL
1.54×
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 →
16
11.3µs74% SOL
1.93×
Reported · license unknown · no source
2026-07-23

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

no sourcelicense unknownno install recipeRun detail →
17
12.3µs72% SOL
2.11×
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 →

Implementations

Implementation
Runtime
Best latency
Evidence
Availability
unknown
5.84µs
1.00×
Reported
license unknown · no source
unknown
6.22µs
1.06×
Reported
license unknown · no source
unknown
6.33µs
1.08×
Reported
license unknown · no source
unknown
6.55µs
1.12×
Reported
license unknown · no source
unknown
7.71µs
1.32×
Reported
license unknown · no source
unknown
11.3µs
1.93×
Reported
license unknown · no source
unknown
11.9µs
2.04×
Reported
license unknown · no source
unknown
12.1µs
2.08×
Reported
license unknown · no source
Show all 29 implementations ›
unknown
13.0µs
2.22×
Reported
license unknown · no source
unknown
90.7µs
15.52×
Reported
license unknown · no source
unknown
6.25µs
1.07×
Reported
license unknown · no source
unknown
6.52µs
1.11×
Reported
license unknown · no source
unknown
6.54µs
1.12×
Reported
license unknown · no source
unknown
6.92µs
1.18×
Reported
license unknown · no source
unknown
7.09µs
1.21×
Reported
license unknown · no source
unknown
7.09µs
1.21×
Reported
license unknown · no source
unknown
7.36µs
1.26×
Reported
license unknown · no source
unknown
7.51µs
1.29×
Reported
license unknown · no source
unknown
7.53µs
1.29×
Reported
license unknown · no source
unknown
7.56µs
1.29×
Reported
license unknown · no source
unknown
7.79µs
1.33×
Reported
license unknown · no source
unknown
8.56µs
1.47×
Reported
license unknown · no source
unknown
9.01µs
1.54×
Reported
license unknown · no source
unknown
11.3µs
1.94×
Reported
license unknown · no source
unknown
12.3µs
2.11×
Reported
license unknown · no source
unknown
13.5µs
2.32×
Reported
license unknown · no source
unknown
5.86µs
1.00×
Reported
license unknown · no source
unknown
6.66µs
1.14×
Reported
license unknown · no source
unknown
7.30µs
1.25×
Reported
license unknown · no source

Semantics

Inputs and outputs
grad_outputbf16 [batch_size, seq_len, num_heads]
dt_with_biasbf16 [batch_size, seq_len, num_heads]
dt_activatedbf16 [batch_size, seq_len, num_heads]
time_step_minfp32 scalar
time_step_maxfp32 scalar
grad_dtbf16 [batch_size, seq_len, num_heads]
grad_dt_biasbf16 [num_heads]
Axes and behavior
seq_lenvariable
num_headsconstant = 40
batch_sizevariable
determinismunspecified
constraintsNo mutation or aliasing
Identity
alias056_mamba_ssm_dt_projection_softplus_clamp_backwardmodelgranite-4-0-microsha2564223fdde9b0a…
Sources: NVIDIA SOL-ExecBench (2026-08-24)last observed 2026-08-24How records are decidedJSON