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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 r11780 = re;
        double r11781 = im;
        double r11782 = r11780 * r11781;
        double r11783 = r11781 * r11780;
        double r11784 = r11782 + r11783;
        return r11784;
}

Reproduce

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