Initial program 58.7
\[\log \left(\frac{1 - \varepsilon}{1 + \varepsilon}\right)\]
Taylor expanded around 0 0.2
\[\leadsto \color{blue}{-\left(\frac{2}{3} \cdot {\varepsilon}^{3} + \left(\frac{2}{5} \cdot {\varepsilon}^{5} + 2 \cdot \varepsilon\right)\right)}\]
Applied simplify0.2
\[\leadsto \color{blue}{(\left((\frac{2}{3} \cdot \left(\varepsilon \cdot \varepsilon\right) + 2)_*\right) \cdot \left(-\varepsilon\right) + \left(\left(-\frac{2}{5}\right) \cdot {\varepsilon}^{5}\right))_*}\]
- Using strategy
rm Applied add-exp-log34.8
\[\leadsto \color{blue}{e^{\log \left((\left((\frac{2}{3} \cdot \left(\varepsilon \cdot \varepsilon\right) + 2)_*\right) \cdot \left(-\varepsilon\right) + \left(\left(-\frac{2}{5}\right) \cdot {\varepsilon}^{5}\right))_*\right)}}\]
Taylor expanded around 0 62.9
\[\leadsto \color{blue}{\frac{1}{5} \cdot \left({\varepsilon}^{4} \cdot e^{\log \varepsilon + \log -2}\right) + \left(\frac{1}{3} \cdot \left({\varepsilon}^{2} \cdot e^{\log \varepsilon + \log -2}\right) + e^{\log \varepsilon + \log -2}\right)}\]
Applied simplify0.2
\[\leadsto \color{blue}{(\left(\left(-2 \cdot \varepsilon\right) \cdot {\varepsilon}^{4}\right) \cdot \frac{1}{5} + \left((\left(\frac{1}{3} \cdot -2\right) \cdot \left({\varepsilon}^{3}\right) + \left(-2 \cdot \varepsilon\right))_*\right))_*}\]
