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Binding variables that appear in nonlinear residues will reduce the complexity of the nonlinear expressions and eventually results in linear expressions:

     clp(q) ?- {exp(X+Y+1,2) = 3*X*X+Y*Y}.

Equating X and Y collapses the expression completely and even determines the values of the two variables:

     clp(q) ?- {exp(X+Y+1,2) = 3*X*X+Y*Y}, X=Y.
     X = -1/4,
     Y = -1/4

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