Symengine is a C++ symbolic engine

• that can be used as a backend in sympy (and makes it much faster)
• that implements "fast callable" for floats, GMP types, flint types, arb types, ... and accepts numpy arrays as arguments (the function is applied entrywise)

It is very strong candidate for replacing some of the symbolic we have in Sage, in particular all the fast callable.

• https://github.com/symengine/symengine/releases
• https://github.com/symengine/symengine.py/

See also:

• https://groups.google.com/d/msg/sage-devel/m8XXaoIpvIw/Eeju5I61CQAJ (discussion August 2015)
• https://groups.google.com/d/msg/sympy/bPh2Hx1HRJ4/CLyuv2c1AgAJ (discussion May 2020)
• https://groups.google.com/g/sage-devel/c/sY3zh-pq8T4/m/Y2Bp0_LxAAAJ (discussion January 2021)

CC: @isuruf @mkoeppe @egourgoulhon

Component: symbolics

Keywords: thursdaysbdx, sd109

Author: Vincent Delecroix, Isuru Fernando, Matthias Koeppe

Branch/Commit: d614ee2

Reviewer: Matthias Koeppe, Vincent Delecroix

Issue created by migration from https://trac.sagemath.org/ticket/29497