performance - Optimization of algebraic computation -

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using mathematica, can compute mathematical representation of function want code in c++.

say like:

f=log[2*x+3*y]+sin[4*x+6*y]

it makes sense in case computation:

temp=2*x+3*y f=log[temp]+sin[2*temp]

is there way expression reduce execution time / number of operations / size of expression or metric given more complex mathematical expression?

although doesn't work simple example, can try following in mathematica

experimental`optimizeexpression[{log[(2*x^3 + 3*y)^2] + sin[2 (2*x^3 + 6*y)^2]}]

as result get

experimental`optimizedexpression[  block[{compile`$3, compile`$4}, compile`$3 = x^3;    compile`$4 = 2 compile`$3;    {log[(compile`$4 + 3 y)^2] + sin[2 (compile`$4 + 6 y)^2]}]]

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