Initial program 12.1
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Initial simplification0.4
\[\leadsto \left(3 + \frac{2}{r \cdot r}\right) - (\left(\frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
- Using strategy
rm Applied associate-/r*0.4
\[\leadsto \left(3 + \color{blue}{\frac{\frac{2}{r}}{r}}\right) - (\left(\frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
- Using strategy
rm Applied *-un-lft-identity0.4
\[\leadsto \left(3 + \frac{\frac{2}{r}}{r}\right) - (\left(\frac{\color{blue}{1 \cdot (-2 \cdot v + 3)_*}}{\frac{1 - v}{0.125}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
Applied associate-/l*0.4
\[\leadsto \left(3 + \frac{\frac{2}{r}}{r}\right) - (\color{blue}{\left(\frac{1}{\frac{\frac{1 - v}{0.125}}{(-2 \cdot v + 3)_*}}\right)} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
- Using strategy
rm Applied expm1-log1p-u0.6
\[\leadsto \left(3 + \frac{\frac{2}{r}}{r}\right) - (\left(\frac{1}{\color{blue}{(e^{\log_* (1 + \frac{\frac{1 - v}{0.125}}{(-2 \cdot v + 3)_*})} - 1)^*}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
Final simplification0.6
\[\leadsto \left(3 + \frac{\frac{2}{r}}{r}\right) - (\left(\frac{1}{(e^{\log_* (1 + \frac{\frac{1 - v}{0.125}}{(-2 \cdot v + 3)_*})} - 1)^*}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
