Question: reducing computation time

I have a long and complicated expression (say Eq1). I have to solve the two equations (obtained by taking real and imaginary parts of Eq1) for two unknowns. Normally it take around a day on my i5 (3.1 GHz, 4 cores), 8gb ram desktop. I looked into posts related to parallel programming but couldn't get much to reduce the computation time. Is there a way to reduce the computation time ?
Many thanks in advance.

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