\((\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot \left(z \cdot c - i \cdot a\right)\)
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
11.0
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
11.0
- Using strategy
rm 11.0
- Applied add-cube-cbrt to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
11.5
- Using strategy
rm 11.5
- Applied add-cube-cbrt to get
\[{\color{red}{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\color{blue}{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}}\right)}^3\right)}}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
12.1
- Applied taylor to get
\[{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
12.4
- Taylor expanded around inf to get
\[{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
12.4
- Applied simplify to get
\[{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(x \cdot t\right) \cdot a\right))_* - \left(z \cdot c - a \cdot i\right) \cdot b\]
11.3
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(x \cdot t\right) \cdot a\right))_* - \left(z \cdot c - a \cdot i\right) \cdot b} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot \left(z \cdot c - i \cdot a\right)}\]
11.0
