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\[1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
double f(double x) {
        double r999920 = 1.0;
        double r999921 = 0.3275911;
        double r999922 = x;
        double r999923 = fabs(r999922);
        double r999924 = r999921 * r999923;
        double r999925 = r999920 + r999924;
        double r999926 = r999920 / r999925;
        double r999927 = 0.254829592;
        double r999928 = -0.284496736;
        double r999929 = 1.421413741;
        double r999930 = -1.453152027;
        double r999931 = 1.061405429;
        double r999932 = r999926 * r999931;
        double r999933 = r999930 + r999932;
        double r999934 = r999926 * r999933;
        double r999935 = r999929 + r999934;
        double r999936 = r999926 * r999935;
        double r999937 = r999928 + r999936;
        double r999938 = r999926 * r999937;
        double r999939 = r999927 + r999938;
        double r999940 = r999926 * r999939;
        double r999941 = r999923 * r999923;
        double r999942 = -r999941;
        double r999943 = exp(r999942);
        double r999944 = r999940 * r999943;
        double r999945 = r999920 - r999944;
        return r999945;
}

Reproduce

herbie shell --seed 2020024 
(FPCore (x)
  :name "Jmat.Real.erf"
  :precision binary64
  (- 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)))))))