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\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
double f(double x) {
        double r110915511 = 1.0;
        double r110915512 = 0.3275911;
        double r110915513 = x;
        double r110915514 = fabs(r110915513);
        double r110915515 = r110915512 * r110915514;
        double r110915516 = r110915511 + r110915515;
        double r110915517 = r110915511 / r110915516;
        double r110915518 = 0.254829592;
        double r110915519 = -0.284496736;
        double r110915520 = 1.421413741;
        double r110915521 = -1.453152027;
        double r110915522 = 1.061405429;
        double r110915523 = r110915517 * r110915522;
        double r110915524 = r110915521 + r110915523;
        double r110915525 = r110915517 * r110915524;
        double r110915526 = r110915520 + r110915525;
        double r110915527 = r110915517 * r110915526;
        double r110915528 = r110915519 + r110915527;
        double r110915529 = r110915517 * r110915528;
        double r110915530 = r110915518 + r110915529;
        double r110915531 = r110915517 * r110915530;
        double r110915532 = r110915514 * r110915514;
        double r110915533 = -r110915532;
        double r110915534 = exp(r110915533);
        double r110915535 = r110915531 * r110915534;
        double r110915536 = r110915511 - r110915535;
        return r110915536;
}

Reproduce

herbie shell --seed 2019121 +o rules:numerics
(FPCore (x)
  :name "Jmat.Real.erf"
  (- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))