Time the QR routine.
Only Accelerate’s QR factorization contributes to the GFLOP/s score. Matrix generation, copying and validation are measured separately or excluded.
A numerical benchmark for Mac
qr_benchApple Accelerate.
Measured on your Mac.
Measure QR decomposition speed and check the numerical accuracy of every result. A native Mac app built around Apple’s own linear algebra framework.
Free app · Preparing for the Mac App Store
THE COMPUTATION
Factorization
dgeqrfPrecision
Float64Matrix shape
m ≥ nApple Accelerate / LAPACK
Clear measurements. Visible checks.
Speed and accuracy, side by side.
Check every result.
Reconstruct Q and R, measure the relative reconstruction error, and check Q’s orthogonality. See timing and residuals for every measured iteration.
Choose repeatable inputs.
Use square or tall matrices with a fixed seed. Reuse the same matrix, or generate a new one each iteration from a repeatable seed sequence.
Your Mac. Your results.
The benchmark runs locally.
No account, analytics or automatic result uploads. Copy a concise summary only when you choose to share it.
Requires macOS 14 or later. Native Apple Silicon and Intel builds.