# New version announcement for TaylUR, an arbitrary-order diagonal automatic differentiation package for Fortran 95

## TL;DR

This paper announces a new version of TaylUR, a Fortran 95 module for automatic differentiation of complex functions up to arbitrary order, fixing bugs and improving compiler compatibility.

## Contribution

The new TaylUR version fixes critical bugs and enhances compatibility, enabling more reliable and versatile derivative computations in Fortran 95.

## Key findings

- Bug fix for exponential-related functions
- Improved compatibility with various compilers
- Reliable computation of derivatives up to arbitrary order

## Abstract

We present a new version of TaylUR, a Fortran 95 module to automatically compute the numerical values of a complex-valued function's derivatives with respect to several variables up to an arbitrary order in each variable, but excluding mixed derivatives. The new version fixes a potentially serious bug in the code for exponential-related functions that could corrupt the imaginary parts of derivatives, as well as being compatible with a wider range of compilers.