Initial program 12.6
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
Applied simplify0.4
\[\leadsto \color{blue}{\left(\frac{\frac{2}{r}}{r} + 3\right) - (\left(\frac{3 - v \cdot 2}{\frac{1 - v}{0.125}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*}\]
- Using strategy
rm Applied add-cbrt-cube7.6
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - (\left(\frac{3 - v \cdot 2}{\color{blue}{\sqrt[3]{\left(\frac{1 - v}{0.125} \cdot \frac{1 - v}{0.125}\right) \cdot \frac{1 - v}{0.125}}}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
Applied add-cbrt-cube20.8
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - (\left(\frac{\color{blue}{\sqrt[3]{\left(\left(3 - v \cdot 2\right) \cdot \left(3 - v \cdot 2\right)\right) \cdot \left(3 - v \cdot 2\right)}}}{\sqrt[3]{\left(\frac{1 - v}{0.125} \cdot \frac{1 - v}{0.125}\right) \cdot \frac{1 - v}{0.125}}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
Applied cbrt-undiv20.8
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - (\color{blue}{\left(\sqrt[3]{\frac{\left(\left(3 - v \cdot 2\right) \cdot \left(3 - v \cdot 2\right)\right) \cdot \left(3 - v \cdot 2\right)}{\left(\frac{1 - v}{0.125} \cdot \frac{1 - v}{0.125}\right) \cdot \frac{1 - v}{0.125}}}\right)} \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
Applied simplify0.5
\[\leadsto \left(\frac{\frac{2}{r}}{r} + 3\right) - (\left(\sqrt[3]{\color{blue}{{\left(\frac{3 - 2 \cdot v}{\frac{1 - v}{0.125}}\right)}^{3}}}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right) + 4.5)_*\]
