Initial program 0.5
\[\frac{1 - 5 \cdot \left(v \cdot v\right)}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \left(1 - v \cdot v\right)}\]
Initial simplification0.3
\[\leadsto \frac{\frac{(\left(v \cdot v\right) \cdot -5 + 1)_*}{\pi}}{\sqrt{2 \cdot (\left(v \cdot v\right) \cdot -3 + 1)_*} \cdot \left(t \cdot \left(1 - v \cdot v\right)\right)}\]
- Using strategy
rm Applied associate-/r*0.1
\[\leadsto \color{blue}{\frac{\frac{\frac{(\left(v \cdot v\right) \cdot -5 + 1)_*}{\pi}}{\sqrt{2 \cdot (\left(v \cdot v\right) \cdot -3 + 1)_*}}}{t \cdot \left(1 - v \cdot v\right)}}\]
- Using strategy
rm Applied sqrt-prod0.1
\[\leadsto \frac{\frac{\frac{(\left(v \cdot v\right) \cdot -5 + 1)_*}{\pi}}{\color{blue}{\sqrt{2} \cdot \sqrt{(\left(v \cdot v\right) \cdot -3 + 1)_*}}}}{t \cdot \left(1 - v \cdot v\right)}\]
Applied associate-/r*0.1
\[\leadsto \frac{\color{blue}{\frac{\frac{\frac{(\left(v \cdot v\right) \cdot -5 + 1)_*}{\pi}}{\sqrt{2}}}{\sqrt{(\left(v \cdot v\right) \cdot -3 + 1)_*}}}}{t \cdot \left(1 - v \cdot v\right)}\]
Final simplification0.1
\[\leadsto \frac{\frac{\frac{\frac{(\left(v \cdot v\right) \cdot -5 + 1)_*}{\pi}}{\sqrt{2}}}{\sqrt{(\left(v \cdot v\right) \cdot -3 + 1)_*}}}{\left(1 - v \cdot v\right) \cdot t}\]