\(\frac{{1}^{3} - {\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{\left(\left|x\right| \cdot 0.3275911 + 1\right) \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^3}\right)}^2}{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + 1\right) + {\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^2}\)
- 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-log-exp to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \color{red}{\left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \color{blue}{\log \left(e^{-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)}\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Applied simplify to get
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \color{red}{\left(e^{-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)}\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \color{blue}{\left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
13.8
- Using strategy
rm 13.8
- Applied flip3-- to get
\[\color{red}{1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}} \leadsto \color{blue}{\frac{{1}^{3} - {\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}{{1}^2 + \left({\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^2 + 1 \cdot \left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)\right)}}\]
13.8
- Applied simplify to get
\[\frac{{1}^{3} - {\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}{\color{red}{{1}^2 + \left({\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^2 + 1 \cdot \left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)\right)}} \leadsto \frac{{1}^{3} - {\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}{\color{blue}{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + 1\right) + {\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^2}}\]
13.8
- Using strategy
rm 13.8
- Applied add-sqr-sqrt to get
\[\frac{{1}^{3} - \color{red}{{\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}}{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + 1\right) + {\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^2} \leadsto \frac{{1}^{3} - \color{blue}{{\left(\sqrt{{\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}\right)}^2}}{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + 1\right) + {\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^2}\]
13.0
- Applied simplify to get
\[\frac{{1}^{3} - {\color{red}{\left(\sqrt{{\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \log \left(e^{\frac{\frac{1.061405429}{1 + \left|x\right| \cdot 0.3275911} + -1.453152027}{{\left(1 + \left|x\right| \cdot 0.3275911\right)}^2}} \cdot e^{\frac{1.421413741}{1 + \left|x\right| \cdot 0.3275911} + -0.284496736}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}\right)}}^2}{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + 1\right) + {\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^2} \leadsto \frac{{1}^{3} - {\color{blue}{\left(\sqrt{{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{\left(\left|x\right| \cdot 0.3275911 + 1\right) \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^3}\right)}}^2}{\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} + 1\right) + {\left(\frac{0.254829592 + \frac{\frac{-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}}{{\left(\left|x\right| \cdot 0.3275911 + 1\right)}^2} + \left(\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736\right)}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)}\right)}^2}\]
13.0