arXiv:2304.13418hep-ph
Rational Function Simplification for Integration-by-Parts Reduction and Beyond
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Abstract
We present FUEL (Fractional Universal Evaluation Library), a C++ library for performing rational function arithmetic with a flexible choice of third-party computer algebra systems as simplifiers. FUEL is an outgrowth of a C++ interface to Fermat which was originally part of the FIRE code for integration-by-parts (IBP) reduction for Feynman integrals, now promoted to be a standalone library and with access to simplifiers other than Fermat. We compare the performance of various simplifiers for standalone benchmark problems as well as IBP reduction runs with FIRE. A speedup of more than 10 times is achieved for an example IBP problem related to off-shell three-particle form factors in $\mathcal N=4$ super-Yang-Mills theory.
Most of these features are included in Symbolica in some capacity (ODE solving is missing) and there are CAS features Symbolica has and that Maxima has not (like advanced pattern matching), even though it is only a year old. It is not just a matter of whether a feature is there…
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