I think you have to figure that there is a difference in productivity of 
people who just learned Python in high school and would really like to 
write a computer algebra system
versus people who know more mathematics, are comfortable spending 2 weeks 
learning lisp, spending ?? (weeks? months?) studying the state of the art in
computer algebra systems as evolved over 60 years, and want to contribute 
to advancing the art (rather than re-programming the easy stuff). 
 I am under the impression that learning python is a reasonable stepping 
stone to learning lisp.

As far as checking results for various systems,  there is a category of CAS 
bugs that are syistem independent.
That is, they occur in many systems!  Sometimes they depend on secretly 
dividing by zero, or doing something
that is invalid at a singularity.  So "Maple and Mathematica and ...  all 
agree" does not mean they are right!

I think my essential point previously is that rewriting easy stuff (in a 
different language) typically fails to push the frontier.



On Wednesday, January 20, 2021 at 5:54:51 AM UTC-8 kcrisman wrote:

>
>> As to the question of replacing backends, there is already a ticket 
>> (which I cannot find right now, my apologies) which started the process of 
>> seeing what doctests would fail if we went to Sympy as default.  Presumably 
>> something similar could be done with this engine (I don't know if it is 
>> more for low-level symbolics or also things like integration).  
>>
>
> In particular, the (very minimal) documentation (really an API is all) 
> makes it seems more a replacement for things like Ginac (already in C++), 
> not Maxima et al.  I don't know if that would provide a noticeable speedup 
> per se, though the SageManifolds ticket mentioned parallelization so 
> perhaps it is better suited for that?
>

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