Initial program 15.9
\[\pi \cdot \ell - \frac{1}{F \cdot F} \cdot \tan \left(\pi \cdot \ell\right)\]
Applied simplify15.7
\[\leadsto \color{blue}{\ell \cdot \pi - \frac{\tan \left(\ell \cdot \pi\right)}{F \cdot F}}\]
- Using strategy
rm Applied associate-/r*11.9
\[\leadsto \ell \cdot \pi - \color{blue}{\frac{\frac{\tan \left(\ell \cdot \pi\right)}{F}}{F}}\]
- Using strategy
rm Applied clear-num11.9
\[\leadsto \ell \cdot \pi - \color{blue}{\frac{1}{\frac{F}{\frac{\tan \left(\ell \cdot \pi\right)}{F}}}}\]
Taylor expanded around 0 31.2
\[\leadsto \ell \cdot \pi - \frac{1}{\color{blue}{\frac{{F}^{2}}{\pi \cdot \ell} - \frac{1}{3} \cdot \left({F}^{2} \cdot \left(\pi \cdot \ell\right)\right)}}\]
Applied simplify8.3
\[\leadsto \color{blue}{\pi \cdot \ell - \frac{\frac{1}{F}}{\frac{F}{\pi \cdot \ell} - \left(\pi \cdot \ell\right) \cdot \left(\frac{1}{3} \cdot F\right)}}\]
- Using strategy
rm Applied log1p-expm1-u0.8
\[\leadsto \pi \cdot \ell - \frac{\frac{1}{F}}{\frac{F}{\pi \cdot \ell} - \color{blue}{\log_* (1 + (e^{\pi \cdot \ell} - 1)^*)} \cdot \left(\frac{1}{3} \cdot F\right)}\]
