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 1.5
\[\leadsto -\frac1{\frac{\pi}{4}} \cdot \log \left(\frac{e^{\frac{\pi}{4} \cdot f} + e^{-\frac{\pi}{4} \cdot f}}{\frac{1}{61440} \cdot \left({\pi}^{5} \cdot {f}^{5}\right) + \left(\frac{1}{2} \cdot \left(\pi \cdot f\right) + \frac{1}{192} \cdot \left({\pi}^{3} \cdot {f}^{3}\right)\right)}\right)\]
Taylor expanded around 0 1.5
\[\leadsto -\frac1{\frac{\pi}{4}} \cdot \log \left(\frac{e^{\frac{\pi}{4} \cdot f} + e^{-\frac{\pi}{4} \cdot f}}{\color{blue}{\frac{1}{61440} \cdot \left({\pi}^{5} \cdot {f}^{5}\right) + \left(\frac{1}{2} \cdot \left(\pi \cdot f\right) + \frac{1}{192} \cdot \left({\pi}^{3} \cdot {f}^{3}\right)\right)}}\right)\]
Applied simplify 1.5
\[\leadsto \color{blue}{\left(-\frac1{\frac{\pi}{4}}\right) \cdot \log \left(\frac{e^{\frac{-f}{\frac{4}{\pi}}} + e^{\pi \cdot \frac{f}{4}}}{\left(\left({f}^3 \cdot \frac{1}{192}\right) \cdot {\pi}^3 + f \cdot \left(\frac{1}{2} \cdot \pi\right)\right) + \frac{1}{61440} \cdot \left({f}^{5} \cdot {\pi}^{5}\right)}\right)}\]
- Using strategy
rm
Applied div-inv 1.5
\[\leadsto \left(-\frac1{\frac{\pi}{4}}\right) \cdot \log \color{blue}{\left(\left(e^{\frac{-f}{\frac{4}{\pi}}} + e^{\pi \cdot \frac{f}{4}}\right) \cdot \frac{1}{\left(\left({f}^3 \cdot \frac{1}{192}\right) \cdot {\pi}^3 + f \cdot \left(\frac{1}{2} \cdot \pi\right)\right) + \frac{1}{61440} \cdot \left({f}^{5} \cdot {\pi}^{5}\right)}\right)}\]
Applied log-prod 1.5
\[\leadsto \left(-\frac1{\frac{\pi}{4}}\right) \cdot \color{blue}{\left(\log \left(e^{\frac{-f}{\frac{4}{\pi}}} + e^{\pi \cdot \frac{f}{4}}\right) + \log \left(\frac{1}{\left(\left({f}^3 \cdot \frac{1}{192}\right) \cdot {\pi}^3 + f \cdot \left(\frac{1}{2} \cdot \pi\right)\right) + \frac{1}{61440} \cdot \left({f}^{5} \cdot {\pi}^{5}\right)}\right)\right)}\]
Applied simplify 1.5
\[\leadsto \left(-\frac1{\frac{\pi}{4}}\right) \cdot \left(\log \left(e^{\frac{-f}{\frac{4}{\pi}}} + e^{\pi \cdot \frac{f}{4}}\right) + \color{blue}{\left(-\log \left(\left(\frac{1}{2} \cdot \pi\right) \cdot f + \left(\left({f}^3 \cdot \frac{1}{192}\right) \cdot {\pi}^3 + {f}^{5} \cdot \left({\pi}^{5} \cdot \frac{1}{61440}\right)\right)\right)\right)}\right)\]
- Removed slow pow expressions
