Timeout in 10.0m

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\[\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.99999999999980993 + \frac{676.520368121885099}{\left(z - 1\right) + 1}\right) + \frac{-1259.13921672240281}{\left(z - 1\right) + 2}\right) + \frac{771.32342877765313}{\left(z - 1\right) + 3}\right) + \frac{-176.615029162140587}{\left(z - 1\right) + 4}\right) + \frac{12.5073432786869052}{\left(z - 1\right) + 5}\right) + \frac{-0.138571095265720118}{\left(z - 1\right) + 6}\right) + \frac{9.98436957801957158 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.50563273514931162 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right)\]
\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.99999999999980993 + \frac{676.520368121885099}{\left(z - 1\right) + 1}\right) + \frac{-1259.13921672240281}{\left(z - 1\right) + 2}\right) + \frac{771.32342877765313}{\left(z - 1\right) + 3}\right) + \frac{-176.615029162140587}{\left(z - 1\right) + 4}\right) + \frac{12.5073432786869052}{\left(z - 1\right) + 5}\right) + \frac{-0.138571095265720118}{\left(z - 1\right) + 6}\right) + \frac{9.98436957801957158 \cdot 10^{-6}}{\left(z - 1\right) + 7}\right) + \frac{1.50563273514931162 \cdot 10^{-7}}{\left(z - 1\right) + 8}\right)
double f(double z) {
        double r123154 = atan2(1.0, 0.0);
        double r123155 = 2.0;
        double r123156 = r123154 * r123155;
        double r123157 = sqrt(r123156);
        double r123158 = z;
        double r123159 = 1.0;
        double r123160 = r123158 - r123159;
        double r123161 = 7.0;
        double r123162 = r123160 + r123161;
        double r123163 = 0.5;
        double r123164 = r123162 + r123163;
        double r123165 = r123160 + r123163;
        double r123166 = pow(r123164, r123165);
        double r123167 = r123157 * r123166;
        double r123168 = -r123164;
        double r123169 = exp(r123168);
        double r123170 = r123167 * r123169;
        double r123171 = 0.9999999999998099;
        double r123172 = 676.5203681218851;
        double r123173 = r123160 + r123159;
        double r123174 = r123172 / r123173;
        double r123175 = r123171 + r123174;
        double r123176 = -1259.1392167224028;
        double r123177 = r123160 + r123155;
        double r123178 = r123176 / r123177;
        double r123179 = r123175 + r123178;
        double r123180 = 771.3234287776531;
        double r123181 = 3.0;
        double r123182 = r123160 + r123181;
        double r123183 = r123180 / r123182;
        double r123184 = r123179 + r123183;
        double r123185 = -176.6150291621406;
        double r123186 = 4.0;
        double r123187 = r123160 + r123186;
        double r123188 = r123185 / r123187;
        double r123189 = r123184 + r123188;
        double r123190 = 12.507343278686905;
        double r123191 = 5.0;
        double r123192 = r123160 + r123191;
        double r123193 = r123190 / r123192;
        double r123194 = r123189 + r123193;
        double r123195 = -0.13857109526572012;
        double r123196 = 6.0;
        double r123197 = r123160 + r123196;
        double r123198 = r123195 / r123197;
        double r123199 = r123194 + r123198;
        double r123200 = 9.984369578019572e-06;
        double r123201 = r123200 / r123162;
        double r123202 = r123199 + r123201;
        double r123203 = 1.5056327351493116e-07;
        double r123204 = 8.0;
        double r123205 = r123160 + r123204;
        double r123206 = r123203 / r123205;
        double r123207 = r123202 + r123206;
        double r123208 = r123170 * r123207;
        return r123208;
}

Reproduce

herbie shell --seed 2020089 +o rules:numerics
(FPCore (z)
  :name "Jmat.Real.gamma, branch z greater than 0.5"
  :precision binary64
  (* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1) 1))) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8)))))