Initial program 59.4
\[\log \left(\frac{1 - \varepsilon}{1 + \varepsilon}\right)\]
Applied taylor 0.1
\[\leadsto -\left(\frac{2}{3} \cdot {\varepsilon}^{3} + \left(2 \cdot \varepsilon + \frac{2}{5} \cdot {\varepsilon}^{5}\right)\right)\]
Taylor expanded around 0 0.1
\[\leadsto \color{blue}{-\left(\frac{2}{3} \cdot {\varepsilon}^{3} + \left(2 \cdot \varepsilon + \frac{2}{5} \cdot {\varepsilon}^{5}\right)\right)}\]
- Using strategy
rm
Applied add-cube-cbrt 1.5
\[\leadsto -\color{blue}{{\left(\sqrt[3]{\frac{2}{3} \cdot {\varepsilon}^{3} + \left(2 \cdot \varepsilon + \frac{2}{5} \cdot {\varepsilon}^{5}\right)}\right)}^3}\]
Applied simplify 1.5
\[\leadsto -{\color{blue}{\left(\sqrt[3]{\left({\varepsilon}^{5} \cdot \frac{2}{5} + \varepsilon\right) + \left(\varepsilon + \frac{2}{3} \cdot {\varepsilon}^3\right)}\right)}}^3\]
Applied taylor 34.9
\[\leadsto -\left(\frac{1}{3} \cdot \left({\varepsilon}^2 \cdot e^{\log 2 + \log \varepsilon}\right) + \left(e^{\log 2 + \log \varepsilon} + \frac{1}{5} \cdot \left({\varepsilon}^{4} \cdot e^{\log 2 + \log \varepsilon}\right)\right)\right)\]
Taylor expanded around 0 34.9
\[\leadsto -\color{blue}{\left(\frac{1}{3} \cdot \left({\varepsilon}^2 \cdot e^{\log 2 + \log \varepsilon}\right) + \left(e^{\log 2 + \log \varepsilon} + \frac{1}{5} \cdot \left({\varepsilon}^{4} \cdot e^{\log 2 + \log \varepsilon}\right)\right)\right)}\]
Applied simplify 0.1
\[\leadsto \color{blue}{\left(-\left(\varepsilon + \varepsilon\right)\right) + \left(\varepsilon \cdot \left(\varepsilon \cdot \frac{1}{3}\right) + {\varepsilon}^{4} \cdot \frac{1}{5}\right) \cdot \left(-\left(\varepsilon + \varepsilon\right)\right)}\]
- Removed slow pow expressions
