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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 r15885382 = 1.0;
        double r15885383 = 0.3275911;
        double r15885384 = x;
        double r15885385 = fabs(r15885384);
        double r15885386 = r15885383 * r15885385;
        double r15885387 = r15885382 + r15885386;
        double r15885388 = r15885382 / r15885387;
        double r15885389 = 0.254829592;
        double r15885390 = -0.284496736;
        double r15885391 = 1.421413741;
        double r15885392 = -1.453152027;
        double r15885393 = 1.061405429;
        double r15885394 = r15885388 * r15885393;
        double r15885395 = r15885392 + r15885394;
        double r15885396 = r15885388 * r15885395;
        double r15885397 = r15885391 + r15885396;
        double r15885398 = r15885388 * r15885397;
        double r15885399 = r15885390 + r15885398;
        double r15885400 = r15885388 * r15885399;
        double r15885401 = r15885389 + r15885400;
        double r15885402 = r15885388 * r15885401;
        double r15885403 = r15885385 * r15885385;
        double r15885404 = -r15885403;
        double r15885405 = exp(r15885404);
        double r15885406 = r15885402 * r15885405;
        double r15885407 = r15885382 - r15885406;
        return r15885407;
}

Reproduce

herbie shell --seed 2019151 
(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)))))))