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 simplification0.4
\[\leadsto \frac{\frac{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}{t \cdot \pi}}{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*} \cdot \left(1 - v \cdot v\right)}\]
- Using strategy
rm Applied add-sqr-sqrt0.4
\[\leadsto \frac{\frac{\color{blue}{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*} \cdot \sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}}{t \cdot \pi}}{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*} \cdot \left(1 - v \cdot v\right)}\]
Applied times-frac0.4
\[\leadsto \frac{\color{blue}{\frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{t} \cdot \frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{\pi}}}{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*} \cdot \left(1 - v \cdot v\right)}\]
Applied associate-/l*0.3
\[\leadsto \color{blue}{\frac{\frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{t}}{\frac{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*} \cdot \left(1 - v \cdot v\right)}{\frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{\pi}}}}\]
- Using strategy
rm Applied div-inv0.3
\[\leadsto \frac{\frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{t}}{\frac{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*} \cdot \left(1 - v \cdot v\right)}{\color{blue}{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*} \cdot \frac{1}{\pi}}}}\]
Applied times-frac0.3
\[\leadsto \frac{\frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{t}}{\color{blue}{\frac{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*}}{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}} \cdot \frac{1 - v \cdot v}{\frac{1}{\pi}}}}\]
Applied div-inv0.3
\[\leadsto \frac{\color{blue}{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*} \cdot \frac{1}{t}}}{\frac{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*}}{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}} \cdot \frac{1 - v \cdot v}{\frac{1}{\pi}}}\]
Applied times-frac0.4
\[\leadsto \color{blue}{\frac{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}{\frac{\sqrt{2 \cdot (\left(v \cdot 3\right) \cdot \left(-v\right) + 1)_*}}{\sqrt{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}}} \cdot \frac{\frac{1}{t}}{\frac{1 - v \cdot v}{\frac{1}{\pi}}}}\]
Simplified0.4
\[\leadsto \color{blue}{\frac{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}{\sqrt{2 - \left(2 \cdot 3\right) \cdot \left(v \cdot v\right)}}} \cdot \frac{\frac{1}{t}}{\frac{1 - v \cdot v}{\frac{1}{\pi}}}\]
Simplified0.3
\[\leadsto \frac{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}{\sqrt{2 - \left(2 \cdot 3\right) \cdot \left(v \cdot v\right)}} \cdot \color{blue}{\frac{\frac{\frac{1}{\pi}}{t}}{1 - v \cdot v}}\]
Final simplification0.3
\[\leadsto \frac{(\left(v \cdot 5\right) \cdot \left(-v\right) + 1)_*}{\sqrt{2 - \left(v \cdot v\right) \cdot \left(3 \cdot 2\right)}} \cdot \frac{\frac{\frac{1}{\pi}}{t}}{1 - v \cdot v}\]
