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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 r84036142 = 1.0;
        double r84036143 = 0.3275911;
        double r84036144 = x;
        double r84036145 = fabs(r84036144);
        double r84036146 = r84036143 * r84036145;
        double r84036147 = r84036142 + r84036146;
        double r84036148 = r84036142 / r84036147;
        double r84036149 = 0.254829592;
        double r84036150 = -0.284496736;
        double r84036151 = 1.421413741;
        double r84036152 = -1.453152027;
        double r84036153 = 1.061405429;
        double r84036154 = r84036148 * r84036153;
        double r84036155 = r84036152 + r84036154;
        double r84036156 = r84036148 * r84036155;
        double r84036157 = r84036151 + r84036156;
        double r84036158 = r84036148 * r84036157;
        double r84036159 = r84036150 + r84036158;
        double r84036160 = r84036148 * r84036159;
        double r84036161 = r84036149 + r84036160;
        double r84036162 = r84036148 * r84036161;
        double r84036163 = r84036145 * r84036145;
        double r84036164 = -r84036163;
        double r84036165 = exp(r84036164);
        double r84036166 = r84036162 * r84036165;
        double r84036167 = r84036142 - r84036166;
        return r84036167;
}

Reproduce

herbie shell --seed 2019120 
(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)))))))