GEP: Pythagorean Theorem Problem


	Pythagorean Theorem Problem
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Pythagorean theorem

This problem was chosen to illustrate the performance of GEP while using two independent variables. The Pythagorean theorem establishes a relationship between the hypotenuse and the legs of a right triangle by the formula:

where h is the hypotenuse, and a and b are the legs.

Table 1 Parameters for the Pythagorean theorem problem
Function set	+,-,*,/,Q
Terminal set	a,b
Number of fitness cases	10
Number of runs	100
Number of generations	50
Population size	60
Absolute error	0.001
Success rate	78%

Notes: Q- square root

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Last update: 23/July/2013