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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 r13140 = re;
        double r13141 = im;
        double r13142 = r13140 * r13141;
        double r13143 = r13141 * r13140;
        double r13144 = r13142 + r13143;
        return r13144;
}

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)))