Initial program 59.9
\[-\frac1{\frac{\pi}{4}} \cdot \log \left(\frac{e^{\frac{\pi}{4} \cdot f} + e^{-\frac{\pi}{4} \cdot f}}{e^{\frac{\pi}{4} \cdot f} - e^{-\frac{\pi}{4} \cdot f}}\right)\]
Applied taylor 1.6
\[\leadsto -\frac1{\frac{\pi}{4}} \cdot \log \left(\frac{e^{\frac{\pi}{4} \cdot f} + e^{-\frac{\pi}{4} \cdot f}}{\frac{1}{2} \cdot \left(\pi \cdot f\right) + \left(\frac{1}{192} \cdot \left({\pi}^{3} \cdot {f}^{3}\right) + \frac{1}{61440} \cdot \left({\pi}^{5} \cdot {f}^{5}\right)\right)}\right)\]
Taylor expanded around 0 1.6
\[\leadsto -\frac1{\frac{\pi}{4}} \cdot \log \left(\frac{e^{\frac{\pi}{4} \cdot f} + e^{-\frac{\pi}{4} \cdot f}}{\color{blue}{\frac{1}{2} \cdot \left(\pi \cdot f\right) + \left(\frac{1}{192} \cdot \left({\pi}^{3} \cdot {f}^{3}\right) + \frac{1}{61440} \cdot \left({\pi}^{5} \cdot {f}^{5}\right)\right)}}\right)\]
Applied simplify 1.6
\[\leadsto \color{blue}{\left(-\frac1{\frac{\pi}{4}}\right) \cdot \log \left(\frac{e^{\frac{-f}{\frac{4}{\pi}}} + e^{\frac{f}{\frac{4}{\pi}}}}{\left({f}^3 \cdot {\pi}^3\right) \cdot \frac{1}{192} + \left(\frac{1}{61440} \cdot \left({f}^{5} \cdot {\pi}^{5}\right) + \frac{1}{2} \cdot \left(\pi \cdot f\right)\right)}\right)}\]
- Removed slow pow expressions
