- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
6.0
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
6.0
- Using strategy
rm 6.0
- Applied add-cbrt-cube to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{red}{b \cdot \left(c \cdot z - i \cdot a\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{blue}{\sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3}}\]
20.8
- Applied taylor to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3}\]
28.4
- Taylor expanded around inf to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3}\]
28.4
- Applied simplify to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3} \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(\left(y \cdot z\right) \cdot x - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)\]
11.7
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(\left(y \cdot z\right) \cdot x - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)}\]
6.0
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
13.2
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
13.2
- Using strategy
rm 13.2
- Applied add-cbrt-cube to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{red}{b \cdot \left(c \cdot z - i \cdot a\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{blue}{\sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3}}\]
28.6
- Applied taylor to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3}\]
26.4
- Taylor expanded around inf to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3}\]
26.4
- Applied simplify to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - \sqrt[3]{{\left(b \cdot \left(c \cdot z - i \cdot a\right)\right)}^3} \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(\left(y \cdot z\right) \cdot x - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)\]
11.5
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(\left(y \cdot z\right) \cdot x - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)}\]
13.2