TECHNOLOGY
VLA: Zero-Error Arithmetic
The precision engine that eliminates floating-point drift — on any NVIDIA GPU.
The Precision Problem
Every floating-point operation introduces a tiny rounding error. After millions of operations, these errors compound. For chaotic systems (weather, orbits, turbulence), even 1 ULP of error can produce completely wrong results.
Worse: the same code produces different results on different GPUs. RTX 4090 gives one answer. Tesla T4 gives another. H100 gives a third. Papers can't be replicated. Audits fail. The Patriot missile bug killed 28 soldiers.
This is why scientists have been forced to use slow CPU exact methods (Python Decimal, mpmath) — sacrificing speed for precision, or spending tens of thousands on specialized hardware.
How VLA Solves It
VLA (Verified Lossless Arithmetic) uses a proprietary mathematical framework that eliminates error accumulation at native GPU speed — with no additional hardware cost.
The result: your computation runs at full GPU speed with mathematically exact results. No drift. No accumulated error. Bit-identical results on any GPU, every time.
No special hardware. No performance penalty. Patent pending.
Proven Results
10240x10240 MATRIX MULTIPLY (104M elements)
25.5 DAYS->2.7 MIN
Both EXACT. 13,848x speedup.
13,848x
faster than CPU Decimal
0
precision loss
104M
elements exact
Cross-GPU Reproducibility
Same checksum on completely different GPU architectures. This is unprecedented.
RTX 4070 (sm_89 Ada): 6ece6956f187064f
Tesla T4 (sm_75 Turing): 6ece6956f187064f
BIT-IDENTICAL
What VLA Means For Your Work
For scientists
Your GPU results are now deterministic and reproducible. Publish with confidence.
For engineers
Run 10,000x more parameter variations in the same time, with precision guarantees.
For students
Access research-grade precision on your laptop GPU. No cluster needed.
For businesses
Replace expensive HPC budgets with consumer GPUs + VLA. Same exact results.
Beats 80-bit Extended Precision
Intel 80-bit longdouble is the CPU gold standard. VLA on GPU beats it.
| Method | Result | Status |
|---|---|---|
| FP32 (32-bit) | 8,750 | Lost 1,250 |
| FP64 (64-bit) | 7,500 | Lost 2,500 |
| 80-bit Extended | 9,984 | Lost 16 |
| VLA (GPU) | 10,000 | EXACT |
Test: 1e20 + 10,000 ones - 1e20. Expected: 10,000
See It In Action
Independent, reproducible benchmarks on Kaggle. Try VLA yourself.