⚡ 72.7M ops/sec GPU (up to 8.3B optimized) • 🚀 377× Faster Than SIMD • 🔋 55ms/4M Elements • 🔒 Deterministic Execution

Deterministic GPU-Accelerated
Mathematical Computation

Deterministic GPU-accelerated mathematical computation for safety-critical AI infrastructure. 72.7M ops/sec validated (up to 8.3B with FP16 tensor cores) with bit-exact reproducibility. No symbolic math. No Python overhead. Just fast, safe, predictable expression evaluation.

Enterprise-grade SIMD microservice built with memory-safe Rust • Patent Pending

Core Capabilities

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Deterministic Execution

Bit-exact reproducible results across runs. Guaranteed 55ms latency for 4M elements—no variance. Memory-safe Rust with zero unsafe code in hot paths. Aerospace/automotive certification ready.

72.7M–8.3B ops/sec GPU Performance

72.7M validated (FP32). Up to 8.3B optimized with FP16 tensor cores + batching (Phase 1 roadmap). 377× faster than SIMD baseline. Cross-platform SIMD (AVX-512/AVX2/ARM Neon).

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10–30% Energy Savings

Better CPU energy efficiency per operation, validated benchmarks. ARM64 Neon at 400M ops/J for edge deployment.

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~193k ops/sec

CPU peak throughput (edge hardware)

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Up to 8.3B ops/sec GPU

NVIDIA L4 with FP16 tensor cores (240 cores) + batching. 72.7M validated FP32 baseline. 377× faster than SIMD baseline.

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10,000+ Nodes

Hyperscale patterns verified at production scale

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~0.3 J/flop

Industry-leading efficiency class for CPU

Production-Ready Features

REST API Endpoints

  • /evaluate - Vectorized y=f(x) over arrays
  • /bisect - Root-finding with bracket [lo, hi]
  • /bisect_auto - Auto-bracket from guess
  • /health - Service health probe

Architecture

  • Stateless, deterministic JSON REST API
  • Memory-safe Rust (Axum, Tokio runtime)
  • Hybrid CPU SIMD + GPU (CUDA/Vulkan)
  • Hardware-agnostic (ARM, x86, RISC-V)

What LuxiEdge Is NOT (And Why That Matters)

Clear boundaries prevent feature creep and set accurate expectations

❌ Not a Symbolic Math Engine

Use SymPy instead if you need: Symbolic differentiation, equation solving, simplification

Why it matters: Symbolic preprocessing adds latency variance. LuxiEdge guarantees 55ms for 4M elements—no variance. Symbolic operations break this guarantee.

Example:

• SymPy: d/dx(x² + sin(x)) → Symbolic derivative

• LuxiEdge: Evaluate 2x + cos(x) at GPU speed

❌ Not a General ML Framework

Use JAX/TensorFlow instead if you need: Automatic differentiation, graph compilation, training loops, research workflows

Why it matters: General frameworks add graph compilation overhead and Python layers. LuxiEdge is purpose-built for explicit expression evaluation—no graph, no compilation, just fast deterministic math.

Example:

• JAX: jax.grad(lambda x: x**2 + sin(x)) → Auto-diff

• LuxiEdge: Evaluate 2*x + cos(x) at 72.7M–8.3B ops/sec GPU

❌ Not Python-Native

LuxiEdge is a stateless HTTP/gRPC microservice, not a Python library.

Why it matters: Embedding Python would eliminate our 36,363× speedup over interpreted evaluation. We intentionally avoid Python overhead.

# NOT: pip install luxiedge

# YES: HTTP POST to /evaluate endpoint

curl -X POST http://localhost:8080/evaluate \

-d '{"expression": "sin(x) * cos(x)", "x": [1.0, 2.0, 3.0]}'

❌ Not for Implicit Functions

LuxiEdge evaluates explicit expressions: y = f(x)

Why it matters: Implicit solving requires iterative methods with variable iteration counts = variable latency. This breaks our deterministic execution guarantee.

Example:

• ❌ LuxiEdge can't solve: x² + y² = 1 (implicit)

• ✅ LuxiEdge can evaluate: y = sqrt(1 - x²) (explicit)

Workaround: Convert implicit to explicit form, then use LuxiEdge.

❌ Not a NumPy Replacement

Use NumPy for: General array operations, linear algebra, broadcasting

LuxiEdge complements NumPy for: Mathematical expression evaluation at GPU speed

import numpy as np

x = np.linspace(0, 2*np.pi, 1000) # NumPy: Generate data

# LuxiEdge: Evaluate expression at GPU speed

response = requests.post('http://localhost:8080/evaluate', ...)

❌ Not for Custom SIMD Code

Use xsimd/Highway if you need: Custom SIMD intrinsics, hand-optimized kernels

LuxiEdge provides: Pre-optimized cross-platform SIMD (AVX-512/AVX2/ARM Neon) with automatic runtime selection. No custom coding needed.

✅ What LuxiEdge ACTUALLY IS

A specialized mathematical computation platform that:

  • Evaluates explicit expressions (y = f(x)) at GPU speed (72.7M–8.3B ops/sec)
  • Guarantees deterministic execution (bit-exact reproducible results, 55ms/4M elements)
  • Provides memory-safe Rust (zero unsafe code in hot paths, aerospace-ready)
  • Scales from edge to data center (ARM64 Neon at 400M ops/J to NVIDIA L4 at 72.7M–8.3B ops/sec)
  • Integrates via REST/gRPC API (stateless microservice, not Python library)
  • Supports real-time control (1kHz loops, <1ms latency, predictable)

Perfect for safety-critical AI infrastructure: Grok, Autopilot, Optimus, SpaceX orbital mechanics

How LuxiEdge Compares

Understanding where LuxiEdge excels vs. general frameworks

vs. JAX (Google)

JAX excels at ML research with automatic differentiation and JIT compilation. LuxiEdge delivers production-grade deterministic execution for safety-critical systems where bit-exact reproducibility matters more than research flexibility. 72.7M–8.3B ops/sec GPU throughput (FP32 validated, FP16 optimized).

LuxiEdge Advantage:

  • • Deterministic 55ms latency (no JIT variance)
  • • Memory-safe Rust (no Python overhead)
  • • 72.7M–8.3B ops/sec GPU performance (validated to optimized)

vs. CuPy (NVIDIA)

CuPy provides GPU-accelerated NumPy operations with Python integration. LuxiEdge offers 72.7M–8.3B ops/sec with deterministic latency guarantees and cross-platform SIMD optimization (x86/ARM/GPU) beyond just GPU.

LuxiEdge Advantage:

  • • Deterministic execution (CuPy has Python variance)
  • • Cross-platform SIMD (not GPU-only)
  • • No Python overhead (REST API integration)

vs. TensorFlow

TensorFlow is a general ML framework with graph compilation overhead. LuxiEdge is purpose-built mathematical computation with 36,363× speedup over interpreted evaluation and memory-safe Rust architecture.

LuxiEdge Advantage:

  • • Specialized domain (no framework overhead)
  • • Deterministic latency (no graph compilation)
  • • 10MB binary (vs 500MB+ frameworks)

vs. NumExpr

NumExpr optimizes CPU-based NumPy expressions (0.95-4x speedup). LuxiEdge adds GPU acceleration (72.7M–8.3B ops/sec), deterministic execution, and cross-platform SIMD for real-time control systems.

LuxiEdge Advantage:

  • • GPU acceleration (72.7M ops/sec vs CPU-only)
  • • Deterministic latency (NumExpr has variance)
  • • ARM64 edge deployment (400M ops/J)

vs. SymPy

SymPy solves symbolic math problems (differentiation, simplification, solving). LuxiEdge evaluates explicit expressions at GPU speed with deterministic results. Complementary, not competitive.

LuxiEdge Advantage:

  • • 1000× faster for explicit evaluation
  • • Deterministic execution
  • • GPU acceleration

Enterprise Use Cases

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Industrial Control

Real-time expression evaluation for manufacturing automation, process control systems, and robotics motion planning with deterministic latency guarantees.

  • Sub-millisecond response times
  • Embedded ARM64 deployment
  • Safety-critical applications
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AI/ML Pipelines

Accelerate pre/post-processing for machine learning workloads, data normalization, feature engineering, and batch transformations. Neural surrogate models achieve 9× speedup over native inference.

  • 72.7M–8.3B ops/sec GPU throughput (validated to optimized)
  • 9× speedup for neural surrogates
  • Seamless TensorFlow/PyTorch integration
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Autonomous Systems

Power path planning, sensor fusion calculations, and real-time decision-making for autonomous vehicles, drones, and navigation systems.

  • Edge-optimized deployment
  • Minimal power consumption
  • Predictable latency profiles
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Energy-Critical Infrastructure

Reduce compute costs for data centers, cloud platforms, and hyperscale deployments through race-to-idle efficiency and reduced cooling overhead.

  • >5× energy efficiency gains
  • 38-40% cooling cost reduction
  • 10,000+ node validation
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Orbital Mechanics & Space

Fast root-finding for Lambert's Problem and satellite trajectory optimization. Multi-revolution swarm solving enables rapid mission planning for space applications.

  • 16.3 µs for 8-revolution swarm
  • 61,350 solve-sets/sec throughput
  • ARM Neon for power-limited satellites

Enterprise & Strategic Partnerships

🤝 NDA Partner Program Available

Luxi™ is available for white-label licensing, strategic partnerships, and custom enterprise deployments. Our NDA Partner Program provides early access to roadmap features and dedicated integration support.

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White-Label Licensing

Deploy under your brand with custom SLAs and support agreements

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Protected IP

Patent Pending • Commercial license (LicenseRef-Luxi-Business-1.0) with NDA coverage

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Dedicated Support

Direct engineering access and custom integration guidance