%0 Journal Article
%T Computing accurate Horner form approximations to special functions in finite precision arithmetic
%A Tor G. J. Myklebust
%J Computer Science
%D 2015
%I arXiv
%X In various applications, computers are required to compute approximations to univariate elementary and special functions such as $\exp$ and $\arctan$ to modest accuracy. This paper proposes a new heuristic for automating the design of such implementations. This heuristic takes a certain restricted specification of program structure and the desired error properties as input and takes explicit account of roundoff error during evaluation.
%U http://arxiv.org/abs/1508.03211v1