Cannot sample enough valid points. (more)

\[1 \le y \le 9999\]
\[\begin{array}{l} \mathbf{if}\;\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) + {\left({10}^{-300}\right)}^{\left(10^{4} \cdot \left(y + 1\right)\right)} = 0.0:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;\frac{e^{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) + {\left({10}^{-300}\right)}^{\left(10^{4} \cdot \left(y + 1\right)\right)}} - 1}{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) + {\left({10}^{-300}\right)}^{\left(10^{4} \cdot \left(y + 1\right)\right)}}\\ \end{array}\]
\begin{array}{l}
\mathbf{if}\;\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) + {\left({10}^{-300}\right)}^{\left(10^{4} \cdot \left(y + 1\right)\right)} = 0.0:\\
\;\;\;\;1\\

\mathbf{else}:\\
\;\;\;\;\frac{e^{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) + {\left({10}^{-300}\right)}^{\left(10^{4} \cdot \left(y + 1\right)\right)}} - 1}{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) + {\left({10}^{-300}\right)}^{\left(10^{4} \cdot \left(y + 1\right)\right)}}\\

\end{array}
double f(double y) {
        double r8119 = y;
        double r8120 = r8119 * r8119;
        double r8121 = 1.0;
        double r8122 = r8120 + r8121;
        double r8123 = sqrt(r8122);
        double r8124 = r8119 - r8123;
        double r8125 = fabs(r8124);
        double r8126 = r8119 + r8123;
        double r8127 = r8121 / r8126;
        double r8128 = r8125 - r8127;
        double r8129 = r8128 * r8128;
        double r8130 = 10.0;
        double r8131 = -300.0;
        double r8132 = pow(r8130, r8131);
        double r8133 = 10000.0;
        double r8134 = r8119 + r8121;
        double r8135 = r8133 * r8134;
        double r8136 = pow(r8132, r8135);
        double r8137 = r8129 + r8136;
        double r8138 = 0.0;
        double r8139 = r8137 == r8138;
        double r8140 = exp(r8137);
        double r8141 = r8140 - r8121;
        double r8142 = r8141 / r8137;
        double r8143 = r8139 ? r8121 : r8142;
        return r8143;
}