\((\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot \left(z \cdot c - i \cdot a\right)\)
- 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
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{red}{b \cdot \left(c \cdot z - i \cdot a\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{blue}{{\left(\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}\right)}^3}\]
5.5
- Using strategy
rm 5.5
- Applied add-cube-cbrt to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - {\color{red}{\left(\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}\right)}}^3 \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - {\color{blue}{\left({\left(\sqrt[3]{\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}}\right)}^3\right)}}^3\]
5.7
- Applied taylor to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - {\left({\left(\sqrt[3]{\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}}\right)}^3\right)}^3 \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - {\left({\left(\sqrt[3]{\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}}\right)}^3\right)}^3\]
5.9
- Taylor expanded around inf to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - {\left({\left(\sqrt[3]{\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}}\right)}^3\right)}^3 \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - {\left({\left(\sqrt[3]{\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}}\right)}^3\right)}^3\]
5.9
- Applied simplify to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - {\left({\left(\sqrt[3]{\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}}\right)}^3\right)}^3 \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(x \cdot t\right) \cdot a\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)\]
5.7
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(x \cdot t\right) \cdot a\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot \left(z \cdot c - i \cdot a\right)}\]
5.3
- Removed slow pow expressions
