Initial program 11.9
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
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 fma-udef0.4
\[\leadsto \left(3 + \frac{2}{r \cdot r}\right) - \color{blue}{\left(\frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5\right)}\]
Applied associate--r+0.4
\[\leadsto \color{blue}{\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right)\right) - 4.5}\]
- Using strategy
rm Applied associate-*r*0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - \color{blue}{\left(\frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}} \cdot \left(w \cdot r\right)\right) \cdot \left(w \cdot r\right)}\right) - 4.5\]
- Using strategy
rm Applied associate-*r*0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - \color{blue}{\left(\left(\frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}} \cdot w\right) \cdot r\right)} \cdot \left(w \cdot r\right)\right) - 4.5\]
Final simplification0.3
\[\leadsto \left(\left(3 + \frac{2}{r \cdot r}\right) - \left(\left(w \cdot \frac{(-2 \cdot v + 3)_*}{\frac{1 - v}{0.125}}\right) \cdot r\right) \cdot \left(r \cdot w\right)\right) - 4.5\]
