Expressions with exploding factors



Dear group,

 

I want to numerically evaluate an expression obtained by Maxima (or any
other CAS for that matter). Doing that I frequently hit on an expression
that cannot be evaluated because it involves parts with extremely big
numbers. What is the general approach to solve such problem? Is there a
branch of science working on such problems, how is that called (what do I
Google)?

 

E.g.:

 

Exp: (sinh(f1(x))+cosh(f2(x)))/(sinh(f3(x))*cosh(f4(x)))

 

Numerical evaluation involves division of extremely big numbers, that, if it
could be done, gives the correct output. However, numbers quickly get too
big for any reasonable x to be practically possible.

 

 

Best regards,

Bastiaan.