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Reduce high order polynomials to closest approximation of a lower order polynomial

ok, I have a great algorithm for generating polynomials composition, to combine two equations into one. the problem is the equations become very high order fairly quickly and the math falls appart due to number truncation of the platform. I tested my algorithm with two polynomials and it made a 60th order equation. 
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ignore this one, I accedently hit return while writing
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