This v2 release provides the full reproducibility package for the benchmark experiments in “Hypercomplex Jacobians for Nonlinear Systems and Implicit Layers.” It includes the updated manuscript, regenerated figures based on real Newton solver histories, and the complete Python script used to run all experiments. The benchmarks cover three representative nonlinear systems—a curved 2D system with multiple basins, a stiff 3D system with strong scale disparities, and a 4D implicit fixed‑point layer—and compare hypercomplex, analytic, and finite‑difference Jacobians under identical conditions. Results show that exact Jacobians converge more rapidly on the stiff system, while all methods behave similarly on the curved system aside from basin‑of‑attraction failures. The artifact includes , which reproduces all figures (convergence curves, iteration distributions, and summary statistics) in a single run using fixed random seeds and a headless Matplotlib backend. This release ensures full transparency and end‑to‑end reproducibility of the numerical results reported in the manuscript.
zetta byte (Tue,) studied this question.