\((\left(z \cdot t\right) * \left(\left(18.0 \cdot x\right) \cdot y\right) + \left(b \cdot c\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(\left(j \cdot k\right) \cdot 27.0\right))_*\)
- Started with
\[\left(\left(\left(\left(\left(\left(x \cdot 18.0\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4.0\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4.0\right) \cdot i\right) - \left(j \cdot 27.0\right) \cdot k\]
5.7
- Applied simplify to get
\[\color{red}{\left(\left(\left(\left(\left(\left(x \cdot 18.0\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4.0\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4.0\right) \cdot i\right) - \left(j \cdot 27.0\right) \cdot k} \leadsto \color{blue}{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*}\]
5.9
- Using strategy
rm 5.9
- Applied add-cbrt-cube to get
\[\color{red}{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*} \leadsto \color{blue}{\sqrt[3]{{\left((\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\right)}^3}}\]
45.4
- Applied taylor to get
\[\sqrt[3]{{\left((\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\right)}^3} \leadsto \sqrt[3]{{\left((\left(t \cdot z\right) * \left(18.0 \cdot \left(y \cdot x\right)\right) + \left(b \cdot c\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\right)}^3}\]
45.4
- Taylor expanded around 0 to get
\[\sqrt[3]{{\left(\color{red}{(\left(t \cdot z\right) * \left(18.0 \cdot \left(y \cdot x\right)\right) + \left(b \cdot c\right))_*} - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\right)}^3} \leadsto \sqrt[3]{{\left(\color{blue}{(\left(t \cdot z\right) * \left(18.0 \cdot \left(y \cdot x\right)\right) + \left(b \cdot c\right))_*} - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\right)}^3}\]
45.4
- Applied simplify to get
\[\sqrt[3]{{\left((\left(t \cdot z\right) * \left(18.0 \cdot \left(y \cdot x\right)\right) + \left(b \cdot c\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\right)}^3} \leadsto (\left(z \cdot t\right) * \left(\left(18.0 \cdot x\right) \cdot y\right) + \left(b \cdot c\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(\left(j \cdot k\right) \cdot 27.0\right))_*\]
5.9
- Applied final simplification
