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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 r90218327 = 1.0;
        double r90218328 = 0.3275911;
        double r90218329 = x;
        double r90218330 = fabs(r90218329);
        double r90218331 = r90218328 * r90218330;
        double r90218332 = r90218327 + r90218331;
        double r90218333 = r90218327 / r90218332;
        double r90218334 = 0.254829592;
        double r90218335 = -0.284496736;
        double r90218336 = 1.421413741;
        double r90218337 = -1.453152027;
        double r90218338 = 1.061405429;
        double r90218339 = r90218333 * r90218338;
        double r90218340 = r90218337 + r90218339;
        double r90218341 = r90218333 * r90218340;
        double r90218342 = r90218336 + r90218341;
        double r90218343 = r90218333 * r90218342;
        double r90218344 = r90218335 + r90218343;
        double r90218345 = r90218333 * r90218344;
        double r90218346 = r90218334 + r90218345;
        double r90218347 = r90218333 * r90218346;
        double r90218348 = r90218330 * r90218330;
        double r90218349 = -r90218348;
        double r90218350 = exp(r90218349);
        double r90218351 = r90218347 * r90218350;
        double r90218352 = r90218327 - r90218351;
        return r90218352;
}

Reproduce

herbie shell --seed 2019128 
(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)))))))