- Split input into 3 regimes
if x < -4.229461472991634e-17
Initial program 1.0
\[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
Taylor expanded around 0 1.0
\[\leadsto \color{blue}{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
- Using strategy
rm Applied add-cube-cbrt1.0
\[\leadsto \color{blue}{\left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}}\]
- Using strategy
rm Applied associate--r+1.0
\[\leadsto \left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\color{blue}{\left(\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) - \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}}\]
- Using strategy
rm Applied associate--r+1.0
\[\leadsto \left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\color{blue}{\left(\left(\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) - 1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}}\right) - 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}}}\]
if -4.229461472991634e-17 < x < 5.892030884837519e-17
Initial program 28.0
\[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
Taylor expanded around 0 28.0
\[\leadsto \color{blue}{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
- Using strategy
rm Applied add-cube-cbrt28.0
\[\leadsto \color{blue}{\left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}}\]
- Using strategy
rm Applied flip3-+28.0
\[\leadsto \left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \color{blue}{\frac{{\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)}^{3} + {\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}^{3}}{\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}}} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
Applied flip3-+28.0
\[\leadsto \left(\sqrt[3]{\color{blue}{\frac{{1}^{3} + {\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)}^{3}}{1 \cdot 1 + \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1 \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right)}} - \frac{{\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)}^{3} + {\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}^{3}}{\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
Applied frac-sub23.4
\[\leadsto \left(\sqrt[3]{\color{blue}{\frac{\left({1}^{3} + {\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)}^{3}\right) \cdot \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)\right) - \left(1 \cdot 1 + \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1 \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right)\right) \cdot \left({\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)}^{3} + {\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}^{3}\right)}{\left(1 \cdot 1 + \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1 \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right)\right) \cdot \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)\right)}}} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
Simplified23.4
\[\leadsto \left(\sqrt[3]{\frac{\color{blue}{\left(-\left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1\right) + 1 \cdot 1\right)\right) \cdot \left({\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)}^{3} + {\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}^{3}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)\right) \cdot \left({1}^{3} + {\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)}^{3}\right)}}{\left(1 \cdot 1 + \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1 \cdot \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right)\right) \cdot \left(\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)\right)}} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
Simplified23.4
\[\leadsto \left(\sqrt[3]{\frac{\left(-\left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1\right) + 1 \cdot 1\right)\right) \cdot \left({\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)}^{3} + {\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}^{3}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)\right) \cdot \left({1}^{3} + {\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)}^{3}\right)}{\color{blue}{\left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1\right) + 1 \cdot 1\right)}}} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
if 5.892030884837519e-17 < x
Initial program 1.0
\[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
Taylor expanded around 0 1.0
\[\leadsto \color{blue}{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\]
- Using strategy
rm Applied add-cube-cbrt1.0
\[\leadsto \color{blue}{\left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}}\]
- Using strategy
rm Applied associate--r+1.0
\[\leadsto \left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\color{blue}{\left(\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) - \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}}\]
- Using strategy
rm Applied add-log-exp1.0
\[\leadsto \left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \color{blue}{\log \left(e^{\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}}\right)}\right) \cdot \sqrt[3]{\left(\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) - \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}\]
- Recombined 3 regimes into one program.
Final simplification11.5
\[\leadsto \begin{array}{l}
\mathbf{if}\;x \le -4.229461472991634244969200951437524521265 \cdot 10^{-17}:\\
\;\;\;\;\left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(\left(\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) - 1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}}\right) - 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}}\\
\mathbf{elif}\;x \le 5.89203088483751926008116303520270302847 \cdot 10^{-17}:\\
\;\;\;\;\left(\sqrt[3]{\frac{\left(-\left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1\right) + 1 \cdot 1\right)\right) \cdot \left({\left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)}^{3} + {\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}^{3}\right) + \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)\right) \cdot \left({1}^{3} + {\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)}^{3}\right)}{\left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) \cdot \left(\left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) + \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) \cdot \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right)\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) \cdot \left(\left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right) - 1\right) + 1 \cdot 1\right)}} \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\right) \cdot \sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}\\
\mathbf{else}:\\
\;\;\;\;\left(\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)} \cdot \log \left(e^{\sqrt[3]{\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - \left(1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}} + \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)\right)}}\right)\right) \cdot \sqrt[3]{\left(\left(1 + \left(0.2844967359999999723108032867457950487733 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{2}} + 1.453152027000000012790792425221297889948 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{4}}\right)\right) - 1.061405428999999900341322245367337018251 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{5}}\right) - \left(1.421413741000000063863240029604639858007 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{{\left(0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1\right)}^{3}} + 0.2548295919999999936678136691625695675611 \cdot \frac{e^{-{\left(\left|x\right|\right)}^{2}}}{0.3275911000000000239396058532292954623699 \cdot \left|x\right| + 1}\right)}\\
\end{array}\]