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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 r19154218 = 1.0;
        double r19154219 = 0.3275911;
        double r19154220 = x;
        double r19154221 = fabs(r19154220);
        double r19154222 = r19154219 * r19154221;
        double r19154223 = r19154218 + r19154222;
        double r19154224 = r19154218 / r19154223;
        double r19154225 = 0.254829592;
        double r19154226 = -0.284496736;
        double r19154227 = 1.421413741;
        double r19154228 = -1.453152027;
        double r19154229 = 1.061405429;
        double r19154230 = r19154224 * r19154229;
        double r19154231 = r19154228 + r19154230;
        double r19154232 = r19154224 * r19154231;
        double r19154233 = r19154227 + r19154232;
        double r19154234 = r19154224 * r19154233;
        double r19154235 = r19154226 + r19154234;
        double r19154236 = r19154224 * r19154235;
        double r19154237 = r19154225 + r19154236;
        double r19154238 = r19154224 * r19154237;
        double r19154239 = r19154221 * r19154221;
        double r19154240 = -r19154239;
        double r19154241 = exp(r19154240);
        double r19154242 = r19154238 * r19154241;
        double r19154243 = r19154218 - r19154242;
        return r19154243;
}

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)))))))