Initial program 17.2
\[\pi \cdot \ell - \frac{1}{F \cdot F} \cdot \tan \left(\pi \cdot \ell\right)\]
- Using strategy
rm Applied add-cube-cbrt17.3
\[\leadsto \pi \cdot \ell - \frac{1}{F \cdot F} \cdot \color{blue}{\left(\left(\sqrt[3]{\tan \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right)}\]
Applied associate-*r*17.3
\[\leadsto \pi \cdot \ell - \color{blue}{\left(\frac{1}{F \cdot F} \cdot \left(\sqrt[3]{\tan \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right)\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}}\]
Applied simplify14.3
\[\leadsto \pi \cdot \ell - \color{blue}{\left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\]
- Using strategy
rm Applied add-cube-cbrt14.3
\[\leadsto \pi \cdot \ell - \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \sqrt[3]{\color{blue}{\left(\sqrt[3]{\tan \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}}}\]
Taylor expanded around inf 14.3
\[\leadsto \pi \cdot \ell - \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \frac{\sqrt[3]{\color{blue}{\frac{\sin \left(\pi \cdot \ell\right)}{\cos \left(\pi \cdot \ell\right)}}}}{F}\right) \cdot \sqrt[3]{\left(\sqrt[3]{\tan \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}}\]
Applied simplify13.0
\[\leadsto \color{blue}{(\left(\frac{-\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \sqrt[3]{\frac{\sin \left(\ell \cdot \pi\right)}{\cos \left(\ell \cdot \pi\right)}}\right) + \left(\ell \cdot \pi\right))_*}\]
- Using strategy
rm Applied *-un-lft-identity13.0
\[\leadsto (\left(\frac{-\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \sqrt[3]{\frac{\sin \left(\ell \cdot \pi\right)}{\color{blue}{1 \cdot \cos \left(\ell \cdot \pi\right)}}}\right) + \left(\ell \cdot \pi\right))_*\]
Applied add-cube-cbrt13.0
\[\leadsto (\left(\frac{-\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \sqrt[3]{\frac{\color{blue}{\left(\sqrt[3]{\sin \left(\ell \cdot \pi\right)} \cdot \sqrt[3]{\sin \left(\ell \cdot \pi\right)}\right) \cdot \sqrt[3]{\sin \left(\ell \cdot \pi\right)}}}{1 \cdot \cos \left(\ell \cdot \pi\right)}}\right) + \left(\ell \cdot \pi\right))_*\]
Applied times-frac13.0
\[\leadsto (\left(\frac{-\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \sqrt[3]{\color{blue}{\frac{\sqrt[3]{\sin \left(\ell \cdot \pi\right)} \cdot \sqrt[3]{\sin \left(\ell \cdot \pi\right)}}{1} \cdot \frac{\sqrt[3]{\sin \left(\ell \cdot \pi\right)}}{\cos \left(\ell \cdot \pi\right)}}}\right) + \left(\ell \cdot \pi\right))_*\]
Applied cbrt-prod13.1
\[\leadsto (\left(\frac{-\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \color{blue}{\left(\sqrt[3]{\frac{\sqrt[3]{\sin \left(\ell \cdot \pi\right)} \cdot \sqrt[3]{\sin \left(\ell \cdot \pi\right)}}{1}} \cdot \sqrt[3]{\frac{\sqrt[3]{\sin \left(\ell \cdot \pi\right)}}{\cos \left(\ell \cdot \pi\right)}}\right)}\right) + \left(\ell \cdot \pi\right))_*\]
Applied simplify13.1
\[\leadsto (\left(\frac{-\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right) \cdot \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \left(\color{blue}{\sqrt[3]{\sqrt[3]{\sin \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\sin \left(\pi \cdot \ell\right)}}} \cdot \sqrt[3]{\frac{\sqrt[3]{\sin \left(\ell \cdot \pi\right)}}{\cos \left(\ell \cdot \pi\right)}}\right)\right) + \left(\ell \cdot \pi\right))_*\]
