Initial program 0.5
\[\cos^{-1} \left(\frac{1 - 5 \cdot \left(v \cdot v\right)}{v \cdot v - 1}\right)\]
Initial simplification0.5
\[\leadsto \cos^{-1} \left(\frac{(\left(-5 \cdot v\right) \cdot v + 1)_*}{(v \cdot v + -1)_*}\right)\]
Taylor expanded around 0 0.7
\[\leadsto \cos^{-1} \color{blue}{\left(\left(4 \cdot {v}^{4} + 4 \cdot {v}^{2}\right) - 1\right)}\]
Simplified0.7
\[\leadsto \cos^{-1} \color{blue}{\left((4 \cdot \left((v \cdot v + \left({v}^{4}\right))_*\right) + -1)_*\right)}\]
- Using strategy
rm Applied add-exp-log0.7
\[\leadsto \color{blue}{e^{\log \left(\cos^{-1} \left((4 \cdot \left((v \cdot v + \left({v}^{4}\right))_*\right) + -1)_*\right)\right)}}\]
Taylor expanded around -inf 0.7
\[\leadsto \color{blue}{\cos^{-1} \left((4 \cdot \left((v \cdot v + \left({v}^{4}\right))_*\right) + -1)_*\right)}\]
Final simplification0.7
\[\leadsto \cos^{-1} \left((4 \cdot \left((v \cdot v + \left({v}^{4}\right))_*\right) + -1)_*\right)\]
