Average Error: 13.7 → 12.8
Time: 4.5m
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 r16244128 = 1.0;
        double r16244129 = 0.3275911;
        double r16244130 = x;
        double r16244131 = fabs(r16244130);
        double r16244132 = r16244129 * r16244131;
        double r16244133 = r16244128 + r16244132;
        double r16244134 = r16244128 / r16244133;
        double r16244135 = 0.254829592;
        double r16244136 = -0.284496736;
        double r16244137 = 1.421413741;
        double r16244138 = -1.453152027;
        double r16244139 = 1.061405429;
        double r16244140 = r16244134 * r16244139;
        double r16244141 = r16244138 + r16244140;
        double r16244142 = r16244134 * r16244141;
        double r16244143 = r16244137 + r16244142;
        double r16244144 = r16244134 * r16244143;
        double r16244145 = r16244136 + r16244144;
        double r16244146 = r16244134 * r16244145;
        double r16244147 = r16244135 + r16244146;
        double r16244148 = r16244134 * r16244147;
        double r16244149 = r16244131 * r16244131;
        double r16244150 = -r16244149;
        double r16244151 = exp(r16244150);
        double r16244152 = r16244148 * r16244151;
        double r16244153 = r16244128 - r16244152;
        return r16244153;
}
↓
double f(double x) {
        double r16244154 = 1.0;
        double r16244155 = 3.0;
        double r16244156 = pow(r16244154, r16244155);
        double r16244157 = pow(r16244156, r16244155);
        double r16244158 = x;
        double r16244159 = fabs(r16244158);
        double r16244160 = -r16244159;
        double r16244161 = r16244160 * r16244159;
        double r16244162 = exp(r16244161);
        double r16244163 = 0.3275911;
        double r16244164 = r16244159 * r16244163;
        double r16244165 = r16244154 + r16244164;
        double r16244166 = r16244154 / r16244165;
        double r16244167 = 0.254829592;
        double r16244168 = -0.284496736;
        double r16244169 = 1.061405429;
        double r16244170 = cbrt(r16244165);
        double r16244171 = r16244170 * r16244170;
        double r16244172 = r16244154 / r16244171;
        double r16244173 = r16244172 / r16244170;
        double r16244174 = r16244169 * r16244173;
        double r16244175 = -1.453152027;
        double r16244176 = r16244174 + r16244175;
        double r16244177 = r16244176 * r16244166;
        double r16244178 = 1.421413741;
        double r16244179 = r16244177 + r16244178;
        double r16244180 = r16244179 * r16244166;
        double r16244181 = r16244168 + r16244180;
        double r16244182 = r16244166 * r16244181;
        double r16244183 = r16244167 + r16244182;
        double r16244184 = r16244166 * r16244183;
        double r16244185 = r16244162 * r16244184;
        double r16244186 = pow(r16244185, r16244155);
        double r16244187 = sqrt(r16244186);
        double r16244188 = r16244187 * r16244187;
        double r16244189 = pow(r16244188, r16244155);
        double r16244190 = r16244157 - r16244189;
        double r16244191 = r16244188 * r16244156;
        double r16244192 = r16244188 * r16244188;
        double r16244193 = r16244191 + r16244192;
        double r16244194 = r16244156 * r16244156;
        double r16244195 = r16244193 + r16244194;
        double r16244196 = r16244190 / r16244195;
        double r16244197 = r16244185 * r16244154;
        double r16244198 = r16244185 * r16244185;
        double r16244199 = r16244197 + r16244198;
        double r16244200 = r16244154 * r16244154;
        double r16244201 = r16244199 + r16244200;
        double r16244202 = r16244196 / r16244201;
        return r16244202;
}

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 +o rules:numerics
(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)))))))