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Interpolation of Dense and Sparse Rational Functions and other Improvements in texttt{FireFly}

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arxiv 2004.01463 v2 pith:HZOODRQN submitted 2020-04-03 cs.MS cs.SChep-ph

Interpolation of Dense and Sparse Rational Functions and other Improvements in texttt{FireFly}

classification cs.MS cs.SChep-ph
keywords textttimprovementsfireflyfunctionsrationalalgorithmdenseinterpolation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the main improvements and new features in version $\texttt{2.0}$ of the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the interpolation of rational functions. This includes algorithmic improvements, e.g. a hybrid algorithm for dense and sparse rational functions and an algorithm to identify and remove univariate factors. The new version is applied to a Feynman-integral reduction to showcase the runtime improvements achieved. Moreover, $\texttt{FireFly}$ now supports parallelization with $\texttt{MPI}$ and offers new tools like a parser for expressions or an executable for the insertion of replacement tables.

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