Average Error: 14.1 → 14.1
Time: 11.7s
Precision: 64
\[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
↓
\[\log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \sqrt[3]{{\left(\frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)}^{3}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]
1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
↓
\log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \sqrt[3]{{\left(\frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)}^{3}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)
double f(double x) {
        double r343989 = 1.0;
        double r343990 = 0.3275911;
        double r343991 = x;
        double r343992 = fabs(r343991);
        double r343993 = r343990 * r343992;
        double r343994 = r343989 + r343993;
        double r343995 = r343989 / r343994;
        double r343996 = 0.254829592;
        double r343997 = -0.284496736;
        double r343998 = 1.421413741;
        double r343999 = -1.453152027;
        double r344000 = 1.061405429;
        double r344001 = r343995 * r344000;
        double r344002 = r343999 + r344001;
        double r344003 = r343995 * r344002;
        double r344004 = r343998 + r344003;
        double r344005 = r343995 * r344004;
        double r344006 = r343997 + r344005;
        double r344007 = r343995 * r344006;
        double r344008 = r343996 + r344007;
        double r344009 = r343995 * r344008;
        double r344010 = r343992 * r343992;
        double r344011 = -r344010;
        double r344012 = exp(r344011);
        double r344013 = r344009 * r344012;
        double r344014 = r343989 - r344013;
        return r344014;
}
↓
double f(double x) {
        double r344015 = 1.0;
        double r344016 = 0.3275911;
        double r344017 = x;
        double r344018 = fabs(r344017);
        double r344019 = r344016 * r344018;
        double r344020 = r344015 + r344019;
        double r344021 = r344015 / r344020;
        double r344022 = 0.254829592;
        double r344023 = -0.284496736;
        double r344024 = 1.421413741;
        double r344025 = r344021 * r344024;
        double r344026 = -1.453152027;
        double r344027 = 1.061405429;
        double r344028 = r344021 * r344027;
        double r344029 = r344026 + r344028;
        double r344030 = r344019 + r344015;
        double r344031 = 2.0;
        double r344032 = pow(r344030, r344031);
        double r344033 = r344032 / r344015;
        double r344034 = r344015 / r344033;
        double r344035 = 3.0;
        double r344036 = pow(r344034, r344035);
        double r344037 = cbrt(r344036);
        double r344038 = r344029 * r344037;
        double r344039 = r344025 + r344038;
        double r344040 = r344023 + r344039;
        double r344041 = r344021 * r344040;
        double r344042 = r344022 + r344041;
        double r344043 = r344021 * r344042;
        double r344044 = -r344043;
        double r344045 = 1.0;
        double r344046 = pow(r344018, r344031);
        double r344047 = exp(r344046);
        double r344048 = r344045 / r344047;
        double r344049 = r344044 * r344048;
        double r344050 = r344015 + r344049;
        double r344051 = exp(r344050);
        double r344052 = log(r344051);
        return r344052;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.1

    \[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  2. Using strategy rm

  3. Applied distribute-lft-in14.1

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \color{blue}{\left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  4. Simplified14.1

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \color{blue}{\left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}}\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  5. Using strategy rm

  6. Applied sub-neg14.1

    \[\leadsto \color{blue}{1 + \left(-\left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}\]

  7. Simplified14.1

    \[\leadsto 1 + \color{blue}{\left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\]
  8. Using strategy rm

  9. Applied add-log-exp14.8

    \[\leadsto 1 + \color{blue}{\log \left(e^{\left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}\]

  10. Applied add-log-exp14.8

    \[\leadsto \color{blue}{\log \left(e^{1}\right)} + \log \left(e^{\left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  11. Applied sum-log14.8

    \[\leadsto \color{blue}{\log \left(e^{1} \cdot e^{\left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}\]

  12. Simplified14.1

    \[\leadsto \log \color{blue}{\left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}\]
  13. Using strategy rm

  14. Applied add-cbrt-cube14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{\color{blue}{\sqrt[3]{\left(1 \cdot 1\right) \cdot 1}}}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  15. Applied add-cbrt-cube14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\frac{\color{blue}{\sqrt[3]{\left({\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2} \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}\right) \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}}}{\sqrt[3]{\left(1 \cdot 1\right) \cdot 1}}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  16. Applied cbrt-undiv14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{1}{\color{blue}{\sqrt[3]{\frac{\left({\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2} \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}\right) \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{\left(1 \cdot 1\right) \cdot 1}}}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  17. Applied add-cbrt-cube14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \frac{\color{blue}{\sqrt[3]{\left(1 \cdot 1\right) \cdot 1}}}{\sqrt[3]{\frac{\left({\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2} \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}\right) \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{\left(1 \cdot 1\right) \cdot 1}}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  18. Applied cbrt-undiv14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \color{blue}{\sqrt[3]{\frac{\left(1 \cdot 1\right) \cdot 1}{\frac{\left({\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2} \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}\right) \cdot {\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{\left(1 \cdot 1\right) \cdot 1}}}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  19. Simplified14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \sqrt[3]{\color{blue}{{\left(\frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)}^{3}}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

  20. Final simplification14.1

    \[\leadsto \log \left(e^{1 + \left(-\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.421413741000000063863240029604639858007 + \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right) \cdot \sqrt[3]{{\left(\frac{1}{\frac{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}}{1}}\right)}^{3}}\right)\right)\right)\right) \cdot \frac{1}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)\]

Reproduce

herbie shell --seed 2019346 
(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)))))))