\(1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \sqrt[3]{{\left(\left(-0.284496736 + \frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911}\right) + \frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}\right)}^3 \cdot {\left(\frac{1}{\left|x\right| \cdot 0.3275911 + 1}\right)}^3}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\)
- Started with
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Using strategy
rm 13.8
- Applied add-cbrt-cube to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \color{red}{\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \color{blue}{\sqrt[3]{{\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}^3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Applied add-cbrt-cube to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \color{red}{\frac{1}{1 + 0.3275911 \cdot \left|x\right|}} \cdot \sqrt[3]{{\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}^3}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \color{blue}{\sqrt[3]{{\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)}^3}} \cdot \sqrt[3]{{\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}^3}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Applied cbrt-unprod to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \color{red}{\sqrt[3]{{\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)}^3} \cdot \sqrt[3]{{\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}^3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \color{blue}{\sqrt[3]{{\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)}^3 \cdot {\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}^3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Applied simplify to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \sqrt[3]{\color{red}{{\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)}^3 \cdot {\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}^3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \sqrt[3]{\color{blue}{{\left(\left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right) + {\left(\frac{1}{\left|x\right| \cdot 0.3275911 + 1}\right)}^2 \cdot \left(\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027\right)\right)}^3 \cdot {\left(\frac{1}{\left|x\right| \cdot 0.3275911 + 1}\right)}^3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Applied simplify to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \sqrt[3]{\color{red}{{\left(\left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right) + {\left(\frac{1}{\left|x\right| \cdot 0.3275911 + 1}\right)}^2 \cdot \left(\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027\right)\right)}^3} \cdot {\left(\frac{1}{\left|x\right| \cdot 0.3275911 + 1}\right)}^3}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \sqrt[3]{\color{blue}{{\left(\left(-0.284496736 + \frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911}\right) + \frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}\right)}^3} \cdot {\left(\frac{1}{\left|x\right| \cdot 0.3275911 + 1}\right)}^3}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
