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 r470089 = x_re;
        double r470090 = r470089 * r470089;
        double r470091 = x_im;
        double r470092 = r470091 * r470091;
        double r470093 = r470090 + r470092;
        double r470094 = sqrt(r470093);
        double r470095 = log(r470094);
        double r470096 = y_re;
        double r470097 = r470095 * r470096;
        double r470098 = atan2(r470091, r470089);
        double r470099 = y_im;
        double r470100 = r470098 * r470099;
        double r470101 = r470097 - r470100;
        double r470102 = exp(r470101);
        double r470103 = r470095 * r470099;
        double r470104 = r470098 * r470096;
        double r470105 = r470103 + r470104;
        double r470106 = cos(r470105);
        double r470107 = r470102 * r470106;
        return r470107;
}