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\[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099298181841732002794742584 + \frac{676.5203681218850988443591631948947906494}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.139216722402807135949842631816864014}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531346025876700878143310547}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621405870046146446838974952698}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.50734327868690520801919774385169148445}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.1385710952657201178173096423051902092993}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019571583242346146658263705831 \cdot 10^{-6}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.505632735149311617592788074479481785772 \cdot 10^{-7}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]
\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099298181841732002794742584 + \frac{676.5203681218850988443591631948947906494}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.139216722402807135949842631816864014}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531346025876700878143310547}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621405870046146446838974952698}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.50734327868690520801919774385169148445}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.1385710952657201178173096423051902092993}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019571583242346146658263705831 \cdot 10^{-6}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.505632735149311617592788074479481785772 \cdot 10^{-7}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)
double f(double z) {
        double r5977445 = atan2(1.0, 0.0);
        double r5977446 = z;
        double r5977447 = r5977445 * r5977446;
        double r5977448 = sin(r5977447);
        double r5977449 = r5977445 / r5977448;
        double r5977450 = 2.0;
        double r5977451 = r5977445 * r5977450;
        double r5977452 = sqrt(r5977451);
        double r5977453 = 1.0;
        double r5977454 = r5977453 - r5977446;
        double r5977455 = r5977454 - r5977453;
        double r5977456 = 7.0;
        double r5977457 = r5977455 + r5977456;
        double r5977458 = 0.5;
        double r5977459 = r5977457 + r5977458;
        double r5977460 = r5977455 + r5977458;
        double r5977461 = pow(r5977459, r5977460);
        double r5977462 = r5977452 * r5977461;
        double r5977463 = -r5977459;
        double r5977464 = exp(r5977463);
        double r5977465 = r5977462 * r5977464;
        double r5977466 = 0.9999999999998099;
        double r5977467 = 676.5203681218851;
        double r5977468 = r5977455 + r5977453;
        double r5977469 = r5977467 / r5977468;
        double r5977470 = r5977466 + r5977469;
        double r5977471 = -1259.1392167224028;
        double r5977472 = r5977455 + r5977450;
        double r5977473 = r5977471 / r5977472;
        double r5977474 = r5977470 + r5977473;
        double r5977475 = 771.3234287776531;
        double r5977476 = 3.0;
        double r5977477 = r5977455 + r5977476;
        double r5977478 = r5977475 / r5977477;
        double r5977479 = r5977474 + r5977478;
        double r5977480 = -176.6150291621406;
        double r5977481 = 4.0;
        double r5977482 = r5977455 + r5977481;
        double r5977483 = r5977480 / r5977482;
        double r5977484 = r5977479 + r5977483;
        double r5977485 = 12.507343278686905;
        double r5977486 = 5.0;
        double r5977487 = r5977455 + r5977486;
        double r5977488 = r5977485 / r5977487;
        double r5977489 = r5977484 + r5977488;
        double r5977490 = -0.13857109526572012;
        double r5977491 = 6.0;
        double r5977492 = r5977455 + r5977491;
        double r5977493 = r5977490 / r5977492;
        double r5977494 = r5977489 + r5977493;
        double r5977495 = 9.984369578019572e-06;
        double r5977496 = r5977495 / r5977457;
        double r5977497 = r5977494 + r5977496;
        double r5977498 = 1.5056327351493116e-07;
        double r5977499 = 8.0;
        double r5977500 = r5977455 + r5977499;
        double r5977501 = r5977498 / r5977500;
        double r5977502 = r5977497 + r5977501;
        double r5977503 = r5977465 * r5977502;
        double r5977504 = r5977449 * r5977503;
        return r5977504;
}

Reproduce

herbie shell --seed 2019200 
(FPCore (z)
  :name "Jmat.Real.gamma, branch z less than 0.5"
  (* (/ PI (sin (* PI z))) (* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- (- 1.0 z) 1.0) 7.0) 0.5) (+ (- (- 1.0 z) 1.0) 0.5))) (exp (- (+ (+ (- (- 1.0 z) 1.0) 7.0) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- (- 1.0 z) 1.0) 1.0))) (/ -1259.1392167224028 (+ (- (- 1.0 z) 1.0) 2.0))) (/ 771.3234287776531 (+ (- (- 1.0 z) 1.0) 3.0))) (/ -176.6150291621406 (+ (- (- 1.0 z) 1.0) 4.0))) (/ 12.507343278686905 (+ (- (- 1.0 z) 1.0) 5.0))) (/ -0.13857109526572012 (+ (- (- 1.0 z) 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- (- 1.0 z) 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- (- 1.0 z) 1.0) 8.0))))))