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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 r13164 = re;
        double r13165 = im;
        double r13166 = r13164 * r13165;
        double r13167 = r13165 * r13164;
        double r13168 = r13166 + r13167;
        return r13168;
}

Reproduce

herbie shell --seed 2019168 
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+.p16 (*.p16 re im) (*.p16 im re)))