Average Error: 13.6 → 12.6
Time: 4.8m
Precision: 64
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
↓
\[\frac{\frac{\frac{1 - {\left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3}\right)}^{3}}{1 + \left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3} + {\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3} \cdot {\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3}\right)}}{1 + \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} + \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right) \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)\right)}}{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}} \cdot \frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}} + \frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right) + 1}\]
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|}
↓
\frac{\frac{\frac{1 - {\left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3}\right)}^{3}}{1 + \left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3} + {\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3} \cdot {\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3}\right)}}{1 + \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} + \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right) \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)\right)}}{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}} \cdot \frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}} + \frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right) + 1}
double f(double x) {
        double r10097090 = 1.0;
        double r10097091 = 0.3275911;
        double r10097092 = x;
        double r10097093 = fabs(r10097092);
        double r10097094 = r10097091 * r10097093;
        double r10097095 = r10097090 + r10097094;
        double r10097096 = r10097090 / r10097095;
        double r10097097 = 0.254829592;
        double r10097098 = -0.284496736;
        double r10097099 = 1.421413741;
        double r10097100 = -1.453152027;
        double r10097101 = 1.061405429;
        double r10097102 = r10097096 * r10097101;
        double r10097103 = r10097100 + r10097102;
        double r10097104 = r10097096 * r10097103;
        double r10097105 = r10097099 + r10097104;
        double r10097106 = r10097096 * r10097105;
        double r10097107 = r10097098 + r10097106;
        double r10097108 = r10097096 * r10097107;
        double r10097109 = r10097097 + r10097108;
        double r10097110 = r10097096 * r10097109;
        double r10097111 = r10097093 * r10097093;
        double r10097112 = -r10097111;
        double r10097113 = exp(r10097112);
        double r10097114 = r10097110 * r10097113;
        double r10097115 = r10097090 - r10097114;
        return r10097115;
}
↓
double f(double x) {
        double r10097116 = 1.0;
        double r10097117 = 0.254829592;
        double r10097118 = -0.284496736;
        double r10097119 = 1.061405429;
        double r10097120 = 0.3275911;
        double r10097121 = x;
        double r10097122 = fabs(r10097121);
        double r10097123 = r10097120 * r10097122;
        double r10097124 = r10097116 + r10097123;
        double r10097125 = r10097119 / r10097124;
        double r10097126 = -1.453152027;
        double r10097127 = r10097125 + r10097126;
        double r10097128 = r10097127 / r10097124;
        double r10097129 = 1.421413741;
        double r10097130 = r10097128 + r10097129;
        double r10097131 = r10097130 / r10097124;
        double r10097132 = r10097118 + r10097131;
        double r10097133 = r10097132 / r10097124;
        double r10097134 = r10097117 + r10097133;
        double r10097135 = r10097122 * r10097122;
        double r10097136 = exp(r10097135);
        double r10097137 = r10097124 * r10097136;
        double r10097138 = r10097134 / r10097137;
        double r10097139 = 3.0;
        double r10097140 = pow(r10097138, r10097139);
        double r10097141 = sqrt(r10097140);
        double r10097142 = r10097141 * r10097141;
        double r10097143 = pow(r10097142, r10097139);
        double r10097144 = pow(r10097143, r10097139);
        double r10097145 = r10097116 - r10097144;
        double r10097146 = r10097143 * r10097143;
        double r10097147 = r10097143 + r10097146;
        double r10097148 = r10097116 + r10097147;
        double r10097149 = r10097145 / r10097148;
        double r10097150 = r10097142 * r10097142;
        double r10097151 = r10097142 + r10097150;
        double r10097152 = r10097116 + r10097151;
        double r10097153 = r10097149 / r10097152;
        double r10097154 = r10097138 * r10097138;
        double r10097155 = r10097154 + r10097138;
        double r10097156 = r10097155 + r10097116;
        double r10097157 = r10097153 / r10097156;
        return r10097157;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 13.6

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  2. Simplified13.6

    \[\leadsto \color{blue}{1 - \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}}\]
  3. Using strategy rm

  4. Applied flip3--13.6

    \[\leadsto \color{blue}{\frac{{1}^{3} - {\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}{1 \cdot 1 + \left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} + 1 \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}}\]
  5. Using strategy rm

  6. Applied add-sqr-sqrt12.8

    \[\leadsto \frac{{1}^{3} - \color{blue}{\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}}}{1 \cdot 1 + \left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} + 1 \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}\]
  7. Using strategy rm

  8. Applied flip3--12.7

    \[\leadsto \frac{\color{blue}{\frac{{\left({1}^{3}\right)}^{3} - {\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)}^{3}}{{1}^{3} \cdot {1}^{3} + \left(\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right) \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right) + {1}^{3} \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)\right)}}}{1 \cdot 1 + \left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} + 1 \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}\]
  9. Using strategy rm

  10. Applied flip3--12.6

    \[\leadsto \frac{\frac{\color{blue}{\frac{{\left({\left({1}^{3}\right)}^{3}\right)}^{3} - {\left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)}^{3}\right)}^{3}}{{\left({1}^{3}\right)}^{3} \cdot {\left({1}^{3}\right)}^{3} + \left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)}^{3} \cdot {\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)}^{3} + {\left({1}^{3}\right)}^{3} \cdot {\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)}^{3}\right)}}}{{1}^{3} \cdot {1}^{3} + \left(\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right) \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right) + {1}^{3} \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}^{3}}\right)\right)}}{1 \cdot 1 + \left(\frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)} + 1 \cdot \frac{0.254829592 + \frac{\frac{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{1 + \left|x\right| \cdot 0.3275911} + 1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}{1 + \left|x\right| \cdot 0.3275911}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(1 + \left|x\right| \cdot 0.3275911\right)}\right)}\]

  11. Final simplification12.6

    \[\leadsto \frac{\frac{\frac{1 - {\left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3}\right)}^{3}}{1 + \left({\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3} + {\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3} \cdot {\left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)}^{3}\right)}}{1 + \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} + \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right) \cdot \left(\sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}} \cdot \sqrt{{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}\right)\right)}}{\left(\frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}} \cdot \frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}} + \frac{0.254829592 + \frac{-0.284496736 + \frac{\frac{\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027}{1 + 0.3275911 \cdot \left|x\right|} + 1.421413741}{1 + 0.3275911 \cdot \left|x\right|}}{1 + 0.3275911 \cdot \left|x\right|}}{\left(1 + 0.3275911 \cdot \left|x\right|\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\right) + 1}\]

Reproduce

herbie shell --seed 2019139 
(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)))))))