Computational Performance Audit

Find out why your computational code is slow.

We benchmark and profile one computational workload, identify the dominant bottlenecks, and deliver a written technical report with concrete recommendations for making it faster.

Performance starts with diagnosis

Don't optimize what isn't limiting you.

Slow computational workflows can have very different causes. The expensive part might be a Python loop, memory access, CPU-GPU communication, an inefficient solver, excessive I/O, poor parallel scaling, or an inefficient algorithm.

The purpose of the Computational Performance Audit is to measure the real bottleneck first, then propose the change.

Software

Implementation bottlenecks

  • Python loops and interpreter overhead
  • Poor memory-access patterns
  • Unnecessary allocations and copies
  • Vectorization opportunities
Hardware

Scaling bottlenecks

  • CPU and GPU utilization
  • Parallel scaling
  • Data-transfer overhead
  • Memory bandwidth
Numerics

Algorithmic bottlenecks

  • Solver choice and convergence
  • Numerical formulation
  • Reduced-order methods
  • Scientific ML surrogates
The main deliverable

You receive a written Computational Performance Report.

We create a technical document that your team can build on. It contains what to fix, how Open Numerics can help, and how to justify the larger engineering effort.

01

Executive Summary

The most important findings in a form that can be shared with technical leadership.

  • What is limiting performance
  • Why it matters
  • Highest-value opportunities
  • Recommended next steps
02

Measured Baseline

A reproducible view of how the workload performs today.

  • Runtime and workload definition
  • Hardware and execution environment
  • Profiler results
  • Memory and scaling behavior
03

Bottleneck Analysis

A technical explanation of where time and compute are being lost.

  • Dominant kernels and operations
  • Software and memory bottlenecks
  • CPU/GPU utilization issues
  • Numerical and algorithmic limitations
04

Prioritized Recommendations

Concrete improvements ranked by expected value and engineering effort.

  • Quick wins
  • Engineering improvements
  • Algorithmic opportunities
  • Expected impact and implementation effort
05

Implementation Options

Specific opportunities your team or Open Numerics can build next.

  • Code-level optimization opportunities
  • Parallel or GPU acceleration
  • Solver and architecture improvements
  • Potential Scientific ML or surrogate approaches
How the audit works

From a slow workload to a clear technical roadmap.

  1. 1

    Define the workload

    We agree on one representative computational workflow, its current performance, and the conditions under which it should be evaluated.

  2. 2

    Benchmark and profile

    We reproduce the workload and measure where runtime, memory, communication and compute are actually being spent.

  3. 3

    Investigate the bottlenecks

    We look beyond individual functions and consider software, hardware, numerical methods and overall workflow architecture.

  4. 4

    Deliver the report

    You receive the written analysis, prioritized recommendations, and implementation options, followed by a technical walkthrough of the findings.

Examples from our work

Performance problems exist at every scale.

Sometimes the right intervention changes a few lines of code. Sometimes it changes how the software uses hardware. Sometimes it changes the computational method itself.

Kernel level

Removing a numerical kernel bottleneck

A scientific workflow was spending most of its runtime inside nested loops over large multidimensional arrays.

Instead of adding compute, we examined how the workload accessed memory and how operations were organized across its feature, spatial and temporal dimensions.

The analysis showed that much of the computation could be expressed as vectorized array operations. The kernel was restructured around contiguous operations while retaining only the necessary outer loop.

  • Bottleneck: loop and memory-access overhead
  • Intervention: vectorization and restructuring
  • Scope: individual computational kernel
System level

Scaling a computational research pipeline

A computational modeling pipeline had become expensive enough that runtime was limiting the speed of research and iteration.

We analyzed how computation moved through the full workflow rather than optimizing individual functions in isolation. Profiling exposed opportunities for improved parallel execution and hardware acceleration.

The resulting acceleration work combined software restructuring with parallel and GPU execution, targeted to the expensive operations that actually benefit from modern hardware.

  • Bottleneck: inefficient execution of compute-intensive workloads
  • Intervention: vectorization, parallelization and GPU acceleration
  • Scope: full computational workflow
Algorithm level

Replacing repeated numerical work with learned surrogates

Sometimes optimizing the implementation is not enough. The expensive operation itself has to change.

In as scientific machine learning setting, we worked on computational workflows where expensive numerical operations were repeatedly evaluated inside a larger simulation or solution process.

Rather than only making those operations execute faster, we investigated learned surrogate models that approximate the expensive computation while preserving the numerical behavior required by the surrounding workflow.

  • Bottleneck: fundamentally expensive repeated computation
  • Intervention: scientific ML and surrogate modeling
  • Scope: computational method itself
Useful even if we do nothing else

The report belongs to you.

The Computational Performance Audit is a standalone engagement. Your team can use the recommendations internally, hand them to another engineering team, or ask Open Numerics to implement the highest-value improvements.

The goal is to leave you with a clearer understanding of the performance problem and a practical roadmap for solving it.

Start with the bottleneck

What workflow is slowing your team down?

Bring us one slow simulation, numerical workflow, or computational bottleneck. In a free 30-minute technical call, we'll discuss the problem and determine whether a Computational Performance Audit is the right next step.

Discuss your workload

Prefer email? Write to info@opennumerics.com .