Comment #3 on issue 1619 by hazelnusse:  
examples/advanced/curvilinear_coordinates.py is very slow
http://code.google.com/p/sympy/issues/detail?id=1619

Sorry for taking so long to get back on this.

If you change the trigsimp call to expand, things improve significantly.   
The next
step would be to identify trig terms and perform the replacement that Chris
suggested, i.e., replacing all cos**2 terms with 1-sin**2 terms and re  
expanding.
This has been my approach in PyDy and it works well for many cases I have  
encountered.

I pushed this change to my github, it is in the curvilinear_patch branch.

~Luke

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