Initial program 12.0
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Initial simplification0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \frac{\left(-2 \cdot v + 3\right) \cdot 0.125}{\frac{1 - v}{\left(w \cdot r\right) \cdot \left(w \cdot r\right)}}\]
- Using strategy
rm Applied associate-/r*0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \frac{\left(-2 \cdot v + 3\right) \cdot 0.125}{\color{blue}{\frac{\frac{1 - v}{w \cdot r}}{w \cdot r}}}\]
- Using strategy
rm Applied *-un-lft-identity0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \frac{\left(-2 \cdot v + 3\right) \cdot 0.125}{\frac{\frac{\color{blue}{1 \cdot \left(1 - v\right)}}{w \cdot r}}{w \cdot r}}\]
Applied times-frac0.7
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - 4.5\right) - \frac{\left(-2 \cdot v + 3\right) \cdot 0.125}{\frac{\color{blue}{\frac{1}{w} \cdot \frac{1 - v}{r}}}{w \cdot r}}\]
- Using strategy
rm Applied associate-/r*0.7
\[\leadsto \left(\left(3 + \color{blue}{\frac{\frac{2}{r}}{r}}\right) - 4.5\right) - \frac{\left(-2 \cdot v + 3\right) \cdot 0.125}{\frac{\frac{1}{w} \cdot \frac{1 - v}{r}}{w \cdot r}}\]
- Using strategy
rm Applied clear-num0.7
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \color{blue}{\frac{1}{\frac{\frac{\frac{1}{w} \cdot \frac{1 - v}{r}}{w \cdot r}}{\left(-2 \cdot v + 3\right) \cdot 0.125}}}\]
Final simplification0.7
\[\leadsto \left(\left(3 + \frac{\frac{2}{r}}{r}\right) - 4.5\right) - \frac{1}{\frac{\frac{\frac{1}{w} \cdot \frac{1 - v}{r}}{r \cdot w}}{\left(v \cdot -2 + 3\right) \cdot 0.125}}\]
