Initial program 1.0
\[\frac{4}{\left(\left(3 \cdot \pi\right) \cdot \left(1 - v \cdot v\right)\right) \cdot \sqrt{2 - 6 \cdot \left(v \cdot v\right)}}\]
Simplified0.0
\[\leadsto \color{blue}{\frac{\frac{\frac{4}{3}}{\pi - \left(v \cdot v\right) \cdot \pi}}{\sqrt{2 + \left(v \cdot -6\right) \cdot v}}}\]
- Using strategy
rm Applied flip-+0.0
\[\leadsto \frac{\frac{\frac{4}{3}}{\pi - \left(v \cdot v\right) \cdot \pi}}{\sqrt{\color{blue}{\frac{2 \cdot 2 - \left(\left(v \cdot -6\right) \cdot v\right) \cdot \left(\left(v \cdot -6\right) \cdot v\right)}{2 - \left(v \cdot -6\right) \cdot v}}}}\]
Applied sqrt-div1.0
\[\leadsto \frac{\frac{\frac{4}{3}}{\pi - \left(v \cdot v\right) \cdot \pi}}{\color{blue}{\frac{\sqrt{2 \cdot 2 - \left(\left(v \cdot -6\right) \cdot v\right) \cdot \left(\left(v \cdot -6\right) \cdot v\right)}}{\sqrt{2 - \left(v \cdot -6\right) \cdot v}}}}\]
Applied associate-/r/0.0
\[\leadsto \color{blue}{\frac{\frac{\frac{4}{3}}{\pi - \left(v \cdot v\right) \cdot \pi}}{\sqrt{2 \cdot 2 - \left(\left(v \cdot -6\right) \cdot v\right) \cdot \left(\left(v \cdot -6\right) \cdot v\right)}} \cdot \sqrt{2 - \left(v \cdot -6\right) \cdot v}}\]
Final simplification0.0
\[\leadsto \frac{\frac{\frac{4}{3}}{\pi - \left(v \cdot v\right) \cdot \pi}}{\sqrt{4 - \left(v \cdot \left(v \cdot -6\right)\right) \cdot \left(v \cdot \left(v \cdot -6\right)\right)}} \cdot \sqrt{2 - v \cdot \left(v \cdot -6\right)}\]
