110+ Operations
512-bit Precision

PROPRIETARY TOOLBOX

Exact Arithmetic Capabilities

The only GPU library that computes without floating-point error.
Built for your hardest problems.

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This Is Not a Library You Just Install

VLA is a proprietary capability I bring to solve problems that standard numerical computing cannot. Every client needs custom integration, domain expertise, and validation.

What I Build For You:

  • Custom Simulations: Quantum circuits, CFD validation, financial models — built with exact arithmetic, delivered as working tools
  • Verification Tools: Prove your existing simulations give correct answers (not "close enough")
  • Diagnosis: Find exactly where your numerical code fails and fix it
  • Proof Generation: Mathematical proofs for papers, patents, regulatory compliance

110+ Exact Operations

Every operation runs on GPU with zero accumulation error

Core Operations

Foundation tensors with 512-bit precision

tensorzerosoneseyearangelinspacerandrandn

Arithmetic

Zero-error arithmetic on GPU

addsubmuldivnegabssignpowmodreciprocal

Linear Algebra

Exact matrix operations at any scale

dotmmmvbmmmatmuloutercrosskrontracediag

Exact Solvers

Solutions with ZERO residual error

detinvlusolverrefranknull_spaceqreigsvd

Number Theory

Exact rational arithmetic for research

bernoullizeta_exactzeta_at_evenhilbert_matrixhilbert_det_exact

Transcendental

High-precision elementary functions

explogsqrtsincostansinhcoshasinacosatan

Quantum Gates

Exact quantum simulation primitives

pauli_xpauli_ypauli_zhadamardt_gates_gatecnotrotation_x/y/z

Complex Numbers

Full complex arithmetic support

ComplexTensorcmmcmvcsumcabsconj

Neural Network

ML primitives without gradient drift

relusigmoidtanhgelusilusoftmaxconv2d

Verification

Cross-GPU reproducibility proofs

checksumchecksums_matchverify

Proven Results

Verified on Kaggle with real data — not theoretical claims

Verified on Kaggle

NumPy Gets Math Wrong

Hilbert matrix determinant: NumPy returns WRONG SIGN at n=14,15,16,17,20. VLA returns correct positive value.

Benchmarked

4.5 Million X Faster

VLA vs mpmath arbitrary precision: 183 seconds → 0.00004 seconds for 512x512 exact sum.

Navier-Stokes

False Singularities Detected

FP64 shows infinity (overflow), VLA shows finite value. Exposes numerical artifacts in CFD simulations.

QEC Proof

Quantum Error = 0 Exactly

Error correction recovery proven mathematically perfect, not "close to zero".

Verified

Cross-GPU Reproducible

Same checksum on RTX 4070, Tesla T4, and any NVIDIA GPU. Unprecedented.

JHTDB

Real Data Validated

Tested on Johns Hopkins Turbulence Database DNS data. VLA matches ground truth.

Industries I Work With

Quantum Computing

Xanadu, D-Wave, IonQ, Photonic Inc

Verify quantum algorithms work before hardware

Aerospace & CFD

NASA, Boeing, Lockheed Martin

Detect false singularities in fluid simulations

Quantitative Finance

Banks, Hedge funds, Trading firms

Exact Monte Carlo, no accumulated pricing error

Scientific Research

Universities, National labs

Reproducible results for publication

How We Work Together

Consulting

Hourly expertise

I analyze your numerical problems, identify precision failures, and implement exact solutions.

Projects

Fixed-scope deliverable

Custom VLA integration for your specific use case, delivered with verification proofs.

Embedded

Ongoing partnership

Retainer for continuous support, training your team, and license access.

Let's Talk

Free 30-minute discovery call. Tell me your hardest numerical problem — I'll tell you if VLA can solve it.

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Based in Canada. Available for remote consulting worldwide.