- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
7.0
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
7.0
- Using strategy
rm 7.0
- Applied add-cbrt-cube to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*\right)}^3}} - b \cdot \left(c \cdot z - i \cdot a\right)\]
46.8
- Applied taylor to get
\[\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
47.5
- Taylor expanded around inf to get
\[\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
47.5
- Applied simplify to get
\[\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(\left(x \cdot y\right) \cdot z - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)\]
19.5
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(\left(x \cdot y\right) \cdot z - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)}\]
7.0
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
12.9
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
12.9
- Using strategy
rm 12.9
- Applied add-cbrt-cube to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*\right)}^3}} - b \cdot \left(c \cdot z - i \cdot a\right)\]
34.7
- Applied taylor to get
\[\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
34.6
- Taylor expanded around inf to get
\[\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
34.6
- Applied simplify to get
\[\sqrt[3]{{\left((\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(\left(x \cdot y\right) \cdot z - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)\]
10.2
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(\left(x \cdot y\right) \cdot z - \left(a \cdot x\right) \cdot t\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)}\]
12.9