i had sage perform grad() on a scalar field and the calculation was really
slow. grad() consists of several steps and apparently the derivative() is
not the issue, but rather the simplification of the resulting terms
thereafter. The process is described here:
http://doc.sagemath.org/html/en/reference/manifolds/sage/manifolds/utilities.html#sage.manifolds.utilities.simplify_chain_real

How can i perhaps skip that step and use a faster alternative? My scalar
field is a sum of some broken rational functions with a few sqrt() and
squares in it. No trigonometric stuff. I guess that might make it possible
to skip some steps in the simplification process. It is also possible to
calculate all the grad()s on the individual broken rational functions
seperatly and add them up afterwards. I don't think the terms will become
simpler as a whole compared to individually.

I would perfer if i could just plug in an other simplification algorithm
for large terms, perhaps tweakable. Is that possible? what other options do
i have?

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