Genetic Programming parity is not elementary.

GP parity cannot be represented as the sum of a small number

of elementary landscapes.

Statistics, including fitness distance correlation,

of Parity's fitness landscape are calculated.

Using Walsh analysis the

eigen values and eigenvectors of the Laplacian of the two bit flip

fitness landscape are given

and a ruggedness measure for elementary landscapes is proposed.

An elementary needle in a haystack (NIH) landscape is given.