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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 r160494564 = 1.0;
        double r160494565 = 0.3275911;
        double r160494566 = x;
        double r160494567 = fabs(r160494566);
        double r160494568 = r160494565 * r160494567;
        double r160494569 = r160494564 + r160494568;
        double r160494570 = r160494564 / r160494569;
        double r160494571 = 0.254829592;
        double r160494572 = -0.284496736;
        double r160494573 = 1.421413741;
        double r160494574 = -1.453152027;
        double r160494575 = 1.061405429;
        double r160494576 = r160494570 * r160494575;
        double r160494577 = r160494574 + r160494576;
        double r160494578 = r160494570 * r160494577;
        double r160494579 = r160494573 + r160494578;
        double r160494580 = r160494570 * r160494579;
        double r160494581 = r160494572 + r160494580;
        double r160494582 = r160494570 * r160494581;
        double r160494583 = r160494571 + r160494582;
        double r160494584 = r160494570 * r160494583;
        double r160494585 = r160494567 * r160494567;
        double r160494586 = -r160494585;
        double r160494587 = exp(r160494586);
        double r160494588 = r160494584 * r160494587;
        double r160494589 = r160494564 - r160494588;
        return r160494589;
}

Reproduce

herbie shell --seed 2019112 +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)))))))