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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 r16936355 = 1.0;
        double r16936356 = 0.3275911;
        double r16936357 = x;
        double r16936358 = fabs(r16936357);
        double r16936359 = r16936356 * r16936358;
        double r16936360 = r16936355 + r16936359;
        double r16936361 = r16936355 / r16936360;
        double r16936362 = 0.254829592;
        double r16936363 = -0.284496736;
        double r16936364 = 1.421413741;
        double r16936365 = -1.453152027;
        double r16936366 = 1.061405429;
        double r16936367 = r16936361 * r16936366;
        double r16936368 = r16936365 + r16936367;
        double r16936369 = r16936361 * r16936368;
        double r16936370 = r16936364 + r16936369;
        double r16936371 = r16936361 * r16936370;
        double r16936372 = r16936363 + r16936371;
        double r16936373 = r16936361 * r16936372;
        double r16936374 = r16936362 + r16936373;
        double r16936375 = r16936361 * r16936374;
        double r16936376 = r16936358 * r16936358;
        double r16936377 = -r16936376;
        double r16936378 = exp(r16936377);
        double r16936379 = r16936375 * r16936378;
        double r16936380 = r16936355 - r16936379;
        return r16936380;
}

Reproduce

herbie shell --seed 2019149 
(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)))))))