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Re: patch to bug #86829


ping

On Sat, Aug 4, 2018 at 10:22 AM, Giuliano Augusto Faulin Belinassi
<giuliano.belinassi@usp.br> wrote:
> Closes bug #86829
>
> Description: Adds substitution rules for both sin(atan(x)) and
> cos(atan(x)). These formulas are replaced by x / sqrt(x*x + 1) and 1 /
> sqrt(x*x + 1) respectively, providing up to 10x speedup. This identity
> can be proved mathematically.
>
> Changelog:
>
> 2018-08-03  Giuliano Belinassi <giuliano.belinassi@usp.br>
>
>     * match.pd: add simplification rules to sin(atan(x)) and cos(atan(x)).
>
> Bootstrap and Testing:
> There were no unexpected failures in a proper testing in GCC 8.1.0
> under a x86_64 running Ubuntu 18.04.


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