How Nonlinear Residues Are Made to Disappear

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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