\(3 - (\left(\frac{0.125}{1 - v} \cdot \left(3 - 2 \cdot v\right)\right) * \left({\left(w \cdot r\right)}^2\right) + \left(4.5 - \frac{\frac{2}{r}}{r}\right))_*\)
- Started with
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
12.2
- Applied simplify to get
\[\color{red}{\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5} \leadsto \color{blue}{\left(\frac{2}{r \cdot r} + 3\right) - (\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) * \left({\left(w \cdot r\right)}^2\right) + 4.5)_*}\]
0.4
- Using strategy
rm 0.4
- Applied fma-udef to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \color{red}{(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) * \left({\left(w \cdot r\right)}^2\right) + 4.5)_*} \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \color{blue}{\left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot {\left(w \cdot r\right)}^2 + 4.5\right)}\]
0.4
- Applied taylor to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot {\left(w \cdot r\right)}^2 + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left({w}^2 \cdot {r}^2\right) + 4.5\right)\]
16.5
- Taylor expanded around inf to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \color{red}{\left({w}^2 \cdot {r}^2\right)} + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \color{blue}{\left({w}^2 \cdot {r}^2\right)} + 4.5\right)\]
16.5
- Applied simplify to get
\[\color{red}{\left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left({w}^2 \cdot {r}^2\right) + 4.5\right)} \leadsto \color{blue}{3 - (\left(\frac{0.125}{1 - v} \cdot \left(3 - 2 \cdot v\right)\right) * \left({\left(w \cdot r\right)}^2\right) + \left(4.5 - \frac{\frac{2}{r}}{r}\right))_*}\]
0.4
