\((b * \left(a \cdot i - c \cdot z\right) + \left((\left(t \cdot c - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_*\right))_*\)
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
5.3
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
5.3
- Using strategy
rm 5.3
- Applied add-cube-cbrt to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)} \leadsto \color{blue}{{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\right)}^3}\]
5.7
- Applied taylor to get
\[{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\right)}^3 \leadsto {\left(\sqrt[3]{\left((\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* + b \cdot \left(a \cdot i\right)\right) - b \cdot \left(c \cdot z\right)}\right)}^3\]
5.7
- Taylor expanded around 0 to get
\[{\color{red}{\left(\sqrt[3]{\left((\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* + b \cdot \left(a \cdot i\right)\right) - b \cdot \left(c \cdot z\right)}\right)}}^3 \leadsto {\color{blue}{\left(\sqrt[3]{\left((\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* + b \cdot \left(a \cdot i\right)\right) - b \cdot \left(c \cdot z\right)}\right)}}^3\]
5.7
- Applied simplify to get
\[{\left(\sqrt[3]{\left((\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* + b \cdot \left(a \cdot i\right)\right) - b \cdot \left(c \cdot z\right)}\right)}^3 \leadsto (b * \left(a \cdot i - c \cdot z\right) + \left((\left(t \cdot c - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_*\right))_*\]
5.3
- Applied final simplification
- Removed slow pow expressions
