Initial program 16.2
\[\pi \cdot \ell - \frac{1}{F \cdot F} \cdot \tan \left(\pi \cdot \ell\right)\]
Applied simplify15.9
\[\leadsto \color{blue}{\ell \cdot \pi - \frac{\tan \left(\ell \cdot \pi\right)}{F \cdot F}}\]
- Using strategy
rm Applied *-un-lft-identity15.9
\[\leadsto \ell \cdot \pi - \frac{\color{blue}{1 \cdot \tan \left(\ell \cdot \pi\right)}}{F \cdot F}\]
Applied times-frac12.2
\[\leadsto \ell \cdot \pi - \color{blue}{\frac{1}{F} \cdot \frac{\tan \left(\ell \cdot \pi\right)}{F}}\]
- Using strategy
rm Applied clear-num12.2
\[\leadsto \ell \cdot \pi - \frac{1}{F} \cdot \color{blue}{\frac{1}{\frac{F}{\tan \left(\ell \cdot \pi\right)}}}\]
Taylor expanded around 0 7.9
\[\leadsto \ell \cdot \pi - \frac{1}{F} \cdot \frac{1}{\color{blue}{\frac{F}{\pi \cdot \ell} - \frac{1}{3} \cdot \left(F \cdot \left(\pi \cdot \ell\right)\right)}}\]
Applied simplify7.9
\[\leadsto \color{blue}{\pi \cdot \ell - \frac{\frac{1}{F}}{\frac{\frac{F}{\pi}}{\ell} - \left(\frac{1}{3} \cdot F\right) \cdot \left(\pi \cdot \ell\right)}}\]
- Using strategy
rm Applied add-log-exp0.7
\[\leadsto \pi \cdot \ell - \frac{\frac{1}{F}}{\frac{\frac{F}{\pi}}{\ell} - \left(\frac{1}{3} \cdot F\right) \cdot \color{blue}{\log \left(e^{\pi \cdot \ell}\right)}}\]
