# Pandrosion 455

Canonical URL: https://ivanbesevic.com/pandrosion-455/

Optimized standalone solver and complete validation bundle. $49 USD, one payment, MIT license. Direct access for people and AI agents.

OPTIMIZED STANDALONE

## One Python file. The evidence alongside it.

Release 455 solves real and complex nonlinear systems with NumPy as its external dependency. The complete delivery includes the standalone file, usage documentation, tests, numerical validation reports and scoped Lean proof material.

A normal evaluation budget of 6,000 keeps the default bounded. The reinforced profile is an explicit choice for harder cases.

MEASURED, WITH A STATED SCOPE

## Less overhead than 454.

Paired measurements report a median 1.32% reduction in total runtime on 1,095 representative cases (five repetitions) and 13.24% on 19 difficult cases (three repetitions). The bundle includes the protocols and results.

These measurements depend on the cases and platform. They do not guarantee a speedup or convergence for every system.

## What your purchase includes

- Standalone Python solver · release 455115,586 bytes, identified by its SHA-256 hash
- Complete standalone and validation bundleZIP · 28,959,488 bytes · documentation, tests, reports and proof material
- MIT license and usage readmeCommercial use, modification and redistribution are permitted under the license.

This is a single purchase of the frozen 455 delivery, with no subscription or promise of future releases. MIT permits redistribution; the purchase provides convenient direct access to this package.

On 57,595 standard and reserved cases, the reported validation records 57,550 successes and 45 remaining failures, with no lost successes relative to 454 in that comparison. Check `root_success` when a root is required. The mathematical proofs do not verify Python or NumPy from end to end.

## For AI agents and automated workflows

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## Explore the public work

[Pandrosion 449 remains a free direct download](https://ivanbesevic.com/pandrosion/). You can also read the [geometric preprint](https://ivanbesevic.com/publications/geometric-root-calculators/), explore the [animations](https://ivanbesevic.com/animations/) and inspect the [449 validation results](https://ivanbesevic.com/validation/).