The SymPy project has another project called SymEngine 
<https://github.com/symengine/symengine>, which aims to be a fast symbolic 
manipulation library. Perhaps we should move to use SymEngine as well, 
since it should be faster as it is native C++ code.


This discussion came up during a discussion on improving the performance 
of SageManifolds <https://trac.sagemath.org/ticket/30139#comment:26>. 

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