Initial program 0.4
\[\frac{1 - 5 \cdot \left(v \cdot v\right)}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \left(1 - v \cdot v\right)}\]
- Using strategy
rm Applied flip--0.4
\[\leadsto \frac{1 - 5 \cdot \left(v \cdot v\right)}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \color{blue}{\frac{1 \cdot 1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)}{1 + v \cdot v}}}\]
Applied associate-*r/0.4
\[\leadsto \frac{1 - 5 \cdot \left(v \cdot v\right)}{\color{blue}{\frac{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \left(1 \cdot 1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)}{1 + v \cdot v}}}\]
Applied associate-/r/0.4
\[\leadsto \color{blue}{\frac{1 - 5 \cdot \left(v \cdot v\right)}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \left(1 \cdot 1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)} \cdot \left(1 + v \cdot v\right)}\]
Applied simplify0.3
\[\leadsto \color{blue}{\frac{\frac{1 - v \cdot \left(v \cdot 5\right)}{t}}{\left(\pi \cdot \left(1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}}} \cdot \left(1 + v \cdot v\right)\]
- Using strategy
rm Applied div-inv0.3
\[\leadsto \color{blue}{\left(\frac{1 - v \cdot \left(v \cdot 5\right)}{t} \cdot \frac{1}{\left(\pi \cdot \left(1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}}\right)} \cdot \left(1 + v \cdot v\right)\]
- Using strategy
rm Applied div-inv0.3
\[\leadsto \left(\color{blue}{\left(\left(1 - v \cdot \left(v \cdot 5\right)\right) \cdot \frac{1}{t}\right)} \cdot \frac{1}{\left(\pi \cdot \left(1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}}\right) \cdot \left(1 + v \cdot v\right)\]
Applied associate-*l*0.3
\[\leadsto \color{blue}{\left(\left(1 - v \cdot \left(v \cdot 5\right)\right) \cdot \left(\frac{1}{t} \cdot \frac{1}{\left(\pi \cdot \left(1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)\right)\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}}\right)\right)} \cdot \left(1 + v \cdot v\right)\]
Applied simplify0.3
\[\leadsto \left(\left(1 - v \cdot \left(v \cdot 5\right)\right) \cdot \color{blue}{\frac{\frac{\frac{\frac{1}{\pi}}{t}}{1 - \left(v \cdot v\right) \cdot \left(v \cdot v\right)}}{\sqrt{2 - \left(2 \cdot v\right) \cdot \left(3 \cdot v\right)}}}\right) \cdot \left(1 + v \cdot v\right)\]
