Initial program 12.7
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Simplified0.3
\[\leadsto \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}}\]
- Using strategy
rm Applied associate-*l*0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \color{blue}{\left(w \cdot r\right) \cdot \left(\left(w \cdot r\right) \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)}\]
- Using strategy
rm Applied associate-*l*0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \left(w \cdot r\right) \cdot \color{blue}{\left(w \cdot \left(r \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)\right)}\]
- Using strategy
rm Applied associate-/r*0.3
\[\leadsto \left(\left(3 + \color{blue}{\frac{\frac{2}{r}}{r}}\right) - 4.5\right) - \left(w \cdot r\right) \cdot \left(w \cdot \left(r \cdot \frac{\left(3 - 2 \cdot v\right) \cdot 0.125}{1 - v}\right)\right)\]
Final simplification0.3
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \left(\left(\frac{0.125 \cdot \left(3 - v \cdot 2\right)}{1 - v} \cdot r\right) \cdot w\right) \cdot \left(r \cdot w\right)\]
