Initial program 0.4
\[\frac{1 - 5 \cdot \left(v \cdot v\right)}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \left(1 - v \cdot v\right)}\]
Initial simplification0.3
\[\leadsto \frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2} \cdot \left(t \cdot \left(1 - v \cdot v\right)\right)}\]
- Using strategy
rm Applied associate-/r*0.1
\[\leadsto \color{blue}{\frac{\frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2}}}{t \cdot \left(1 - v \cdot v\right)}}\]
- Using strategy
rm Applied flip--0.1
\[\leadsto \frac{\frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2}}}{t \cdot \color{blue}{\frac{1 \cdot 1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)}{1 + v \cdot v}}}\]
Applied associate-*r/0.1
\[\leadsto \frac{\frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2}}}{\color{blue}{\frac{t \cdot \left(1 \cdot 1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)}{1 + v \cdot v}}}\]
Applied associate-/r/0.1
\[\leadsto \color{blue}{\frac{\frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2}}}{t \cdot \left(1 \cdot 1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)} \cdot \left(1 + v \cdot v\right)}\]
Final simplification0.1
\[\leadsto \left(v \cdot v + 1\right) \cdot \frac{\frac{\frac{1 + v \cdot \left(v \cdot -5\right)}{\pi}}{\sqrt{\left(v \cdot 2\right) \cdot \left(v \cdot -3\right) + 2}}}{t \cdot \left(1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)}\]
