Initial program 12.1
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Simplified0.4
\[\leadsto \color{blue}{\left(\frac{2}{r \cdot r} - (\left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\right) + 3}\]
- Using strategy
rm Applied associate-/r*0.4
\[\leadsto \left(\color{blue}{\frac{\frac{2}{r}}{r}} - (\left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\right) + 3\]
- Using strategy
rm Applied associate-+l-0.4
\[\leadsto \color{blue}{\frac{\frac{2}{r}}{r} - \left((\left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_* - 3\right)}\]
- Using strategy
rm Applied fma-udef0.4
\[\leadsto \frac{\frac{2}{r}}{r} - \left(\color{blue}{\left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5\right)} - 3\right)\]
Applied associate--l+0.4
\[\leadsto \frac{\frac{2}{r}}{r} - \color{blue}{\left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + \left(4.5 - 3\right)\right)}\]
- Using strategy
rm Applied associate-*r*0.3
\[\leadsto \frac{\frac{2}{r}}{r} - \left(\color{blue}{\left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v} \cdot \left(w \cdot r\right)\right) \cdot \left(w \cdot r\right)} + \left(4.5 - 3\right)\right)\]
Final simplification0.3
\[\leadsto \frac{\frac{2}{r}}{r} - \left(\left(4.5 - 3\right) + \left(\frac{(v \cdot -2 + 3)_* \cdot 0.125}{1 - v} \cdot \left(r \cdot w\right)\right) \cdot \left(r \cdot w\right)\right)\]
