Initial program 59.8
\[-\frac{1}{\frac{\pi}{4}} \cdot \log \left(\frac{e^{\frac{\pi}{4} \cdot f} + e^{-\frac{\pi}{4} \cdot f}}{e^{\frac{\pi}{4} \cdot f} - e^{-\frac{\pi}{4} \cdot f}}\right)\]
Taylor expanded around 0 2.2
\[\leadsto -\color{blue}{\left(\left(4 \cdot \frac{\log \left(\frac{4}{\pi}\right)}{\pi} + \frac{1}{12} \cdot \left(\pi \cdot {f}^{2}\right)\right) - \left(\frac{7}{5760} \cdot \left({\pi}^{3} \cdot {f}^{4}\right) + 4 \cdot \frac{\log f}{\pi}\right)\right)}\]
Applied simplify2.2
\[\leadsto \color{blue}{-(\pi \cdot \left(\left(f \cdot \frac{1}{12}\right) \cdot f - \left(\frac{7}{5760} \cdot {f}^{4}\right) \cdot \left(\pi \cdot \pi\right)\right) + \left(\frac{4}{\pi} \cdot \log \left(\frac{4}{\pi}\right) - \frac{4}{\pi} \cdot \log f\right))_*}\]
- Using strategy
rm Applied associate-*l/2.2
\[\leadsto -(\pi \cdot \left(\left(f \cdot \frac{1}{12}\right) \cdot f - \left(\frac{7}{5760} \cdot {f}^{4}\right) \cdot \left(\pi \cdot \pi\right)\right) + \left(\frac{4}{\pi} \cdot \log \left(\frac{4}{\pi}\right) - \color{blue}{\frac{4 \cdot \log f}{\pi}}\right))_*\]
Applied associate-*l/2.2
\[\leadsto -(\pi \cdot \left(\left(f \cdot \frac{1}{12}\right) \cdot f - \left(\frac{7}{5760} \cdot {f}^{4}\right) \cdot \left(\pi \cdot \pi\right)\right) + \left(\color{blue}{\frac{4 \cdot \log \left(\frac{4}{\pi}\right)}{\pi}} - \frac{4 \cdot \log f}{\pi}\right))_*\]
Applied sub-div2.1
\[\leadsto -(\pi \cdot \left(\left(f \cdot \frac{1}{12}\right) \cdot f - \left(\frac{7}{5760} \cdot {f}^{4}\right) \cdot \left(\pi \cdot \pi\right)\right) + \color{blue}{\left(\frac{4 \cdot \log \left(\frac{4}{\pi}\right) - 4 \cdot \log f}{\pi}\right)})_*\]
