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\[\frac{\left(re \cdot im\right)}{\left(im \cdot re\right)}\]
\frac{\left(re \cdot im\right)}{\left(im \cdot re\right)}
double f(double re, double im) {
        double r13084 = re;
        double r13085 = im;
        double r13086 = r13084 * r13085;
        double r13087 = r13085 * r13084;
        double r13088 = r13086 + r13087;
        return r13088;
}

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+.p16 (*.p16 re im) (*.p16 im re)))