Initial program 17.1
\[\left(J \cdot \left(e^{\ell} - e^{-\ell}\right)\right) \cdot \cos \left(\frac{K}{2}\right) + U\]
Taylor expanded around 0 0.4
\[\leadsto \left(J \cdot \color{blue}{\left(\frac{1}{3} \cdot {\ell}^{3} + \left(2 \cdot \ell + \frac{1}{60} \cdot {\ell}^{5}\right)\right)}\right) \cdot \cos \left(\frac{K}{2}\right) + U\]
Applied simplify0.4
\[\leadsto \color{blue}{(\left(\cos \left(\frac{K}{2}\right) \cdot J\right) \cdot \left((\ell \cdot \left((\left(\ell \cdot \frac{1}{3}\right) \cdot \ell + 2)_*\right) + \left({\ell}^{5} \cdot \frac{1}{60}\right))_*\right) + U)_*}\]
- Using strategy
rm Applied add-cube-cbrt0.5
\[\leadsto (\left(\color{blue}{\left(\left(\sqrt[3]{\cos \left(\frac{K}{2}\right)} \cdot \sqrt[3]{\cos \left(\frac{K}{2}\right)}\right) \cdot \sqrt[3]{\cos \left(\frac{K}{2}\right)}\right)} \cdot J\right) \cdot \left((\ell \cdot \left((\left(\ell \cdot \frac{1}{3}\right) \cdot \ell + 2)_*\right) + \left({\ell}^{5} \cdot \frac{1}{60}\right))_*\right) + U)_*\]
Applied associate-*l*0.5
\[\leadsto (\color{blue}{\left(\left(\sqrt[3]{\cos \left(\frac{K}{2}\right)} \cdot \sqrt[3]{\cos \left(\frac{K}{2}\right)}\right) \cdot \left(\sqrt[3]{\cos \left(\frac{K}{2}\right)} \cdot J\right)\right)} \cdot \left((\ell \cdot \left((\left(\ell \cdot \frac{1}{3}\right) \cdot \ell + 2)_*\right) + \left({\ell}^{5} \cdot \frac{1}{60}\right))_*\right) + U)_*\]
- Using strategy
rm Applied add-log-exp0.5
\[\leadsto (\left(\left(\sqrt[3]{\cos \left(\frac{K}{2}\right)} \cdot \sqrt[3]{\cos \left(\frac{K}{2}\right)}\right) \cdot \left(\color{blue}{\log \left(e^{\sqrt[3]{\cos \left(\frac{K}{2}\right)}}\right)} \cdot J\right)\right) \cdot \left((\ell \cdot \left((\left(\ell \cdot \frac{1}{3}\right) \cdot \ell + 2)_*\right) + \left({\ell}^{5} \cdot \frac{1}{60}\right))_*\right) + U)_*\]
