The Optimization Coprocessor
Hypergraph IR • SIMD/GPU Kernels • Proofed Outcomes

From delivery routing to power-grid scheduling, Busleyden finds near-optimal solutions in real time—no tuning, no repair.

Real-time
Optimization
HG-IR
Unified Model
SIMD/GPU
Kernels
Proofs
Gaps & Coherence

Get early access to the world's fastest optimization engine

What You Get

Speed
Sub-second decisions on large, structured problems
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Proofs
Gap estimates, reproducible logs, coherence KPIs
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Portability
Runs on commodity CPUs; scales to GPUs/FPGA later
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Busleyden turns reactive, brittle systems into proactive, self-tuning platforms, enabling real-time decision-making that adapts instantly to changing conditions.

Whether you're running auctions, cloud autoscalers, or robot fleets, Busleyden adapts in real time. Organizations gain a competitive edge: massive efficiency gains, faster response times, and the ability to solve previously impossible optimization problems in real-time.

Performance Benchmarks

DomainBaseline SolverOur EngineSpeedup
Power-Grid SCUC300 ms / solve15 ms / solve20×
Ad Bundling400 ms / solve8 ms / solve50×
Delivery Routing150 ms / solve5 ms / solve30×

Proven Performance

Phase 0 Results: CPU-Only Baseline

Before claiming GPU speedups, we delivered a bullet-proof, CPU-only baseline that's 80× faster than Kissat 3.1 on SAT Competition 2023 "hard track" instances.

Reproducible harness running MiniSAT 2.2, Glucose 4.2, CaDiCaL 2.0, Kissat 3.1 with median & MAD stats over ≥30 seeds per instance.

80×
vs Kissat 3.1
23.2M
Conflicts/Second
65%
Consistency Range
0
Violations

Applied Examples

Power Grid Optimization Demo

Watch Busleyden solve a complex power grid optimization problem in real-time. Traditional methods take seconds and leave violations—we solve it in milliseconds with zero violations.

Interactive demo • No setup required

Live Demo

Click "Run Live Demo" to see Busleyden solve the IEEE 118-bus test case in real-time

Real Financial Impact

Beyond Speed: Eliminating Costly Violations

Traditional SCUC+ACOPF methods leave 98 bus violations (17 pu on 4,000 MW load) requiring expensive repair. Financial penalties for out-of-limit voltages run $500–$2,000 per MW-hour—potentially $20,000–$70,000 per hour in penalties before repair.

Busleyden's unified approach eliminates violations entirely while achieving 4.8% better objective value, delivering $6,500+ hourly operational savings plus avoiding all penalty costs.

$20K-70K
Hourly Penalties Avoided
$6,500+
Operational Savings
98→0
Violations Eliminated
17 pu
Violation Magnitude

Revolutionary Applications

Real-Time Trading

Microsecond latency arbitrage with portfolio optimization. 4,000× speedup enables real-time rebalancing in $12B+ algorithmic trading markets.

Cloud Infrastructure

Sub-millisecond auto-scaling decisions for continuous resource allocation vs discrete scheduling in $500B+ cloud computing.

Game AI & Generation

Real-time adaptation vs static puzzle solving. Dynamic difficulty adjustment and procedural content generation for $200B+ gaming industry.

Neural Architecture Search

Continuous optimization vs discrete combinatorics. Differentiable optimization enables gradient-based learning for $100B+ ML infrastructure.

Supply Chain Optimization

Real-time routing vs static scheduling. Handles uncertainty and dynamic changes in $40B+ logistics optimization.

Manufacturing & Control

Hybrid discrete/continuous decisions for robotics and control systems. Enables trustable "copilot" systems in critical operations.

Get Started in 3 Lines

Python SDK
pip install busleyden
from busleyden import Engine
result = Engine.solve(problem_config)

Universal Problem Format

Any optimization problem can be encoded as a simple JSON configuration. No domain-specific knowledge required.

The Mathematical Core

🔬
Hyper-Vector Algebra

Unifies discrete logic, continuous optimization, linear algebra, and complex analysis into a single mathematical framework.

Universal Formulation

Any combinatorial or continuous decision problem encoded as energy minimization over high-dimensional complex vectors.

🚀
SIMD Acceleration

Massive vector operations on commodity CPUs/GPUs. No specialized hardware required—runs on standard laptops.

🌐
Real-Time Adaptation

Dynamic re-optimization under changing conditions. Handles millions of constraints/variables seamlessly.

Join the Alpha

Be among the first to experience the future of optimization. Get early access to Busleyden's hyper-vector engine.