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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 r11784 = re;
        double r11785 = im;
        double r11786 = r11784 * r11785;
        double r11787 = r11785 * r11784;
        double r11788 = r11786 + r11787;
        return r11788;
}

Reproduce

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