Initial program 12.5
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Applied simplify0.3
\[\leadsto \color{blue}{\left(\frac{\frac{2}{r}}{r} + 3\right) - (\left(\frac{3 - v \cdot 2}{\frac{1 - v}{0.125}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*}\]
- Using strategy
rm Applied fma-udef0.3
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - \color{blue}{\left(\frac{3 - v \cdot 2}{\frac{1 - v}{0.125}} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5\right)}\]
- Using strategy
rm Applied associate-*r*0.3
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - \left(\color{blue}{\left(\frac{3 - v \cdot 2}{\frac{1 - v}{0.125}} \cdot \left(w \cdot r\right)\right) \cdot \left(w \cdot r\right)} + 4.5\right)\]
- Using strategy
rm Applied div-inv0.3
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - \left(\left(\color{blue}{\left(\left(3 - v \cdot 2\right) \cdot \frac{1}{\frac{1 - v}{0.125}}\right)} \cdot \left(w \cdot r\right)\right) \cdot \left(w \cdot r\right) + 4.5\right)\]
Applied associate-*l*0.3
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - \left(\color{blue}{\left(\left(3 - v \cdot 2\right) \cdot \left(\frac{1}{\frac{1 - v}{0.125}} \cdot \left(w \cdot r\right)\right)\right)} \cdot \left(w \cdot r\right) + 4.5\right)\]
Applied simplify0.6
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - \left(\left(\left(3 - v \cdot 2\right) \cdot \color{blue}{\left(\frac{r}{1 - v} \cdot \left(0.125 \cdot w\right)\right)}\right) \cdot \left(w \cdot r\right) + 4.5\right)\]
