\(3 - (\left(\frac{3 - 2 \cdot v}{\frac{1 - v}{w \cdot r}}\right) * \left(\left(0.125 \cdot r\right) \cdot w\right) + \left(4.5 - \frac{\frac{2}{r}}{r}\right))_*\)
- Started with
\[\left(\left(3 + \frac{2}{r \cdot r}\right) - \frac{\left(0.125 \cdot \left(3 - 2 \cdot v\right)\right) \cdot \left(\left(\left(w \cdot w\right) \cdot r\right) \cdot r\right)}{1 - v}\right) - 4.5\]
12.1
- 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
- Using strategy
rm 0.4
- Applied square-mult to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \color{red}{{\left(w \cdot r\right)}^2} + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \color{blue}{\left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right)} + 4.5\right)\]
0.4
- Applied associate-*r* to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\color{red}{\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left(\left(w \cdot r\right) \cdot \left(w \cdot r\right)\right)} + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\color{blue}{\left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left(w \cdot r\right)\right) \cdot \left(w \cdot r\right)} + 4.5\right)\]
0.3
- Using strategy
rm 0.3
- Applied add-cube-cbrt to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\color{red}{\left(\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left(w \cdot r\right)\right)} \cdot \left(w \cdot r\right) + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\color{blue}{{\left(\sqrt[3]{\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left(w \cdot r\right)}\right)}^3} \cdot \left(w \cdot r\right) + 4.5\right)\]
0.6
- Applied taylor to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left({\left(\sqrt[3]{\left(\left(3 - 2 \cdot v\right) \cdot \frac{0.125}{1 - v}\right) \cdot \left(w \cdot r\right)}\right)}^3 \cdot \left(w \cdot r\right) + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\left(0.125 \cdot \frac{\left(3 - 2 \cdot v\right) \cdot \left(w \cdot r\right)}{1 - v}\right) \cdot \left(w \cdot r\right) + 4.5\right)\]
3.2
- Taylor expanded around 0 to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\color{red}{\left(0.125 \cdot \frac{\left(3 - 2 \cdot v\right) \cdot \left(w \cdot r\right)}{1 - v}\right)} \cdot \left(w \cdot r\right) + 4.5\right) \leadsto \left(\frac{2}{r \cdot r} + 3\right) - \left(\color{blue}{\left(0.125 \cdot \frac{\left(3 - 2 \cdot v\right) \cdot \left(w \cdot r\right)}{1 - v}\right)} \cdot \left(w \cdot r\right) + 4.5\right)\]
3.2
- Applied simplify to get
\[\left(\frac{2}{r \cdot r} + 3\right) - \left(\left(0.125 \cdot \frac{\left(3 - 2 \cdot v\right) \cdot \left(w \cdot r\right)}{1 - v}\right) \cdot \left(w \cdot r\right) + 4.5\right) \leadsto \left(\frac{\frac{2}{r}}{r} + \left(3 - 4.5\right)\right) - \left(\left(w \cdot r\right) \cdot 0.125\right) \cdot \frac{3 - v \cdot 2}{\frac{1 - v}{w \cdot r}}\]
0.3
- Applied final simplification
- Applied simplify to get
\[\color{red}{\left(\frac{\frac{2}{r}}{r} + \left(3 - 4.5\right)\right) - \left(\left(w \cdot r\right) \cdot 0.125\right) \cdot \frac{3 - v \cdot 2}{\frac{1 - v}{w \cdot r}}} \leadsto \color{blue}{3 - (\left(\frac{3 - 2 \cdot v}{\frac{1 - v}{w \cdot r}}\right) * \left(\left(0.125 \cdot r\right) \cdot w\right) + \left(4.5 - \frac{\frac{2}{r}}{r}\right))_*}\]
0.3
