\((\left(z \cdot t\right) * \left(x \cdot \left(18.0 \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(a \cdot t\right))_*\right) + \left(27.0 \cdot \left(j \cdot k\right)\right))_*\)
- Started with
\[\left(\left(\left(\left(\left(\left(x \cdot 18.0\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4.0\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4.0\right) \cdot i\right) - \left(j \cdot 27.0\right) \cdot k\]
3.2
- Applied simplify to get
\[\color{red}{\left(\left(\left(\left(\left(\left(x \cdot 18.0\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4.0\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4.0\right) \cdot i\right) - \left(j \cdot 27.0\right) \cdot k} \leadsto \color{blue}{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*}\]
3.4
- Using strategy
rm 3.4
- Applied add-cube-cbrt to get
\[\color{red}{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*} - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_* \leadsto \color{blue}{{\left(\sqrt[3]{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*}\right)}^3} - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_*\]
3.6
- Applied taylor to get
\[{\left(\sqrt[3]{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*}\right)}^3 - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(j \cdot \left(27.0 \cdot k\right)\right))_* \leadsto {\left(\sqrt[3]{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*}\right)}^3 - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(27.0 \cdot \left(j \cdot k\right)\right))_*\]
3.2
- Taylor expanded around 0 to get
\[{\left(\sqrt[3]{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*}\right)}^3 - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \color{red}{\left(27.0 \cdot \left(j \cdot k\right)\right)})_* \leadsto {\left(\sqrt[3]{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*}\right)}^3 - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \color{blue}{\left(27.0 \cdot \left(j \cdot k\right)\right)})_*\]
3.2
- Applied simplify to get
\[\color{red}{{\left(\sqrt[3]{(\left(t \cdot z\right) * \left(18.0 \cdot \left(x \cdot y\right)\right) + \left(c \cdot b\right))_*}\right)}^3 - (4.0 * \left((i * x + \left(t \cdot a\right))_*\right) + \left(27.0 \cdot \left(j \cdot k\right)\right))_*} \leadsto \color{blue}{(\left(z \cdot t\right) * \left(x \cdot \left(18.0 \cdot y\right)\right) + \left(c \cdot b\right))_* - (4.0 * \left((i * x + \left(a \cdot t\right))_*\right) + \left(27.0 \cdot \left(j \cdot k\right)\right))_*}\]
3.2
- Removed slow pow expressions