Average Error: 13.7 → 12.8
Time: 4.9m
Precision: 64
\[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
↓
\[\frac{\frac{{\left({1}^{3}\right)}^{3} - {\left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right)}^{3}}{\left(\left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right) \cdot {1}^{3} + \left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right) \cdot \left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right)\right) + {1}^{3} \cdot {1}^{3}}}{\left(\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right) \cdot 1 + \left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right) \cdot \left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)\right) + 1 \cdot 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|}
↓
\frac{\frac{{\left({1}^{3}\right)}^{3} - {\left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right)}^{3}}{\left(\left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right) \cdot {1}^{3} + \left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right) \cdot \left(\sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}} \cdot \sqrt{{\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)}^{3}}\right)\right) + {1}^{3} \cdot {1}^{3}}}{\left(\left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right) \cdot 1 + \left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right) \cdot \left(e^{\left(-\left|x\right|\right) \cdot \left|x\right|} \cdot \left(\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{\frac{1}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}}}{\sqrt[3]{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)\right)\right)\right)\right) + 1 \cdot 1}
double f(double x) {
        double r14961184 = 1.0;
        double r14961185 = 0.3275911;
        double r14961186 = x;
        double r14961187 = fabs(r14961186);
        double r14961188 = r14961185 * r14961187;
        double r14961189 = r14961184 + r14961188;
        double r14961190 = r14961184 / r14961189;
        double r14961191 = 0.254829592;
        double r14961192 = -0.284496736;
        double r14961193 = 1.421413741;
        double r14961194 = -1.453152027;
        double r14961195 = 1.061405429;
        double r14961196 = r14961190 * r14961195;
        double r14961197 = r14961194 + r14961196;
        double r14961198 = r14961190 * r14961197;
        double r14961199 = r14961193 + r14961198;
        double r14961200 = r14961190 * r14961199;
        double r14961201 = r14961192 + r14961200;
        double r14961202 = r14961190 * r14961201;
        double r14961203 = r14961191 + r14961202;
        double r14961204 = r14961190 * r14961203;
        double r14961205 = r14961187 * r14961187;
        double r14961206 = -r14961205;
        double r14961207 = exp(r14961206);
        double r14961208 = r14961204 * r14961207;
        double r14961209 = r14961184 - r14961208;
        return r14961209;
}
↓
double f(double x) {
        double r14961210 = 1.0;
        double r14961211 = 3.0;
        double r14961212 = pow(r14961210, r14961211);
        double r14961213 = pow(r14961212, r14961211);
        double r14961214 = x;
        double r14961215 = fabs(r14961214);
        double r14961216 = -r14961215;
        double r14961217 = r14961216 * r14961215;
        double r14961218 = exp(r14961217);
        double r14961219 = 0.3275911;
        double r14961220 = r14961215 * r14961219;
        double r14961221 = r14961210 + r14961220;
        double r14961222 = r14961210 / r14961221;
        double r14961223 = 0.254829592;
        double r14961224 = -0.284496736;
        double r14961225 = 1.061405429;
        double r14961226 = cbrt(r14961221);
        double r14961227 = r14961226 * r14961226;
        double r14961228 = r14961210 / r14961227;
        double r14961229 = r14961228 / r14961226;
        double r14961230 = r14961225 * r14961229;
        double r14961231 = -1.453152027;
        double r14961232 = r14961230 + r14961231;
        double r14961233 = r14961232 * r14961222;
        double r14961234 = 1.421413741;
        double r14961235 = r14961233 + r14961234;
        double r14961236 = r14961235 * r14961222;
        double r14961237 = r14961224 + r14961236;
        double r14961238 = r14961222 * r14961237;
        double r14961239 = r14961223 + r14961238;
        double r14961240 = r14961222 * r14961239;
        double r14961241 = r14961218 * r14961240;
        double r14961242 = pow(r14961241, r14961211);
        double r14961243 = sqrt(r14961242);
        double r14961244 = r14961243 * r14961243;
        double r14961245 = pow(r14961244, r14961211);
        double r14961246 = r14961213 - r14961245;
        double r14961247 = r14961244 * r14961212;
        double r14961248 = r14961244 * r14961244;
        double r14961249 = r14961247 + r14961248;
        double r14961250 = r14961212 * r14961212;
        double r14961251 = r14961249 + r14961250;
        double r14961252 = r14961246 / r14961251;
        double r14961253 = r14961241 * r14961210;
        double r14961254 = r14961241 * r14961241;
        double r14961255 = r14961253 + r14961254;
        double r14961256 = r14961210 * r14961210;
        double r14961257 = r14961255 + r14961256;
        double r14961258 = r14961252 / r14961257;
        return r14961258;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 13.7

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

  3. Applied add-cube-cbrt13.7

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

  4. Applied associate-/r*13.7

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

  6. Applied flip3--13.7

    \[\leadsto \color{blue}{\frac{{1}^{3} - {\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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}{1 \cdot 1 + \left(\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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) \cdot \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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) + 1 \cdot \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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)\right)}}\]
  7. Using strategy rm

  8. Applied add-sqr-sqrt13.0

    \[\leadsto \frac{{1}^{3} - \color{blue}{\sqrt{{\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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}} \cdot \sqrt{{\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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}}}{1 \cdot 1 + \left(\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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) \cdot \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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) + 1 \cdot \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 + \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{\frac{1}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}}}{\sqrt[3]{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|}} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)\right)}\]
  9. Using strategy rm

  10. Applied flip3--12.8

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

  11. Final simplification12.8

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

Reproduce

herbie shell --seed 2019170 
(FPCore (x)
  :name "Jmat.Real.erf"
  (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))