Cannot sample enough valid points. (more)

\[e^{\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.re - \tan^{-1}_* \frac{x.im}{x.re} \cdot y.im} \cdot \cos \left(\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.im + \tan^{-1}_* \frac{x.im}{x.re} \cdot y.re\right)\]
e^{\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.re - \tan^{-1}_* \frac{x.im}{x.re} \cdot y.im} \cdot \cos \left(\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.im + \tan^{-1}_* \frac{x.im}{x.re} \cdot y.re\right)
double f(double x_re, double x_im, double y_re, double y_im) {
        double r563557 = x_re;
        double r563558 = r563557 * r563557;
        double r563559 = x_im;
        double r563560 = r563559 * r563559;
        double r563561 = r563558 + r563560;
        double r563562 = sqrt(r563561);
        double r563563 = log(r563562);
        double r563564 = y_re;
        double r563565 = r563563 * r563564;
        double r563566 = atan2(r563559, r563557);
        double r563567 = y_im;
        double r563568 = r563566 * r563567;
        double r563569 = r563565 - r563568;
        double r563570 = exp(r563569);
        double r563571 = r563563 * r563567;
        double r563572 = r563566 * r563564;
        double r563573 = r563571 + r563572;
        double r563574 = cos(r563573);
        double r563575 = r563570 * r563574;
        return r563575;
}