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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 r11828 = re;
        double r11829 = im;
        double r11830 = r11828 * r11829;
        double r11831 = r11829 * r11828;
        double r11832 = r11830 + r11831;
        return r11832;
}

Reproduce

herbie shell --seed 2019158 
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+.p16 (*.p16 re im) (*.p16 im re)))