- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
7.3
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
7.3
- Using strategy
rm 7.3
- Applied add-cube-cbrt to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(\left(y \cdot z - t \cdot a\right) \cdot x\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left({\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right)\]
7.5
- Using strategy
rm 7.5
- Applied fma-udef to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left({\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{\left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\]
7.5
- Applied taylor to get
\[\left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \left(\left(j \cdot \left(c \cdot t\right) - j \cdot \left(y \cdot i\right)\right) + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right)\]
7.5
- Taylor expanded around inf to get
\[\left(\color{red}{\left(j \cdot \left(c \cdot t\right) - j \cdot \left(y \cdot i\right)\right)} + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \left(\color{blue}{\left(j \cdot \left(c \cdot t\right) - j \cdot \left(y \cdot i\right)\right)} + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right)\]
7.5
- Applied simplify to get
\[\color{red}{\left(\left(j \cdot \left(c \cdot t\right) - j \cdot \left(y \cdot i\right)\right) + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right)} \leadsto \color{blue}{(x * \left(z \cdot y - t \cdot a\right) + \left(\left(t \cdot j\right) \cdot c\right))_* - (b * \left(z \cdot c - a \cdot i\right) + \left(\left(j \cdot i\right) \cdot y\right))_*}\]
4.8
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
3.7
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
3.7
- Using strategy
rm 3.7
- Applied add-cube-cbrt to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(\left(y \cdot z - t \cdot a\right) \cdot x\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left({\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right)})_* - b \cdot \left(c \cdot z - i \cdot a\right)\]
3.8
- Using strategy
rm 3.8
- Applied fma-udef to get
\[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left({\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{\left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\]
3.8
- Applied taylor to get
\[\left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{\left(y \cdot z - t \cdot a\right) \cdot x}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right)\]
4.2
- Taylor expanded around inf to get
\[\left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{\color{red}{y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)}}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{\color{blue}{y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)}}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right)\]
4.2
- Applied simplify to get
\[\color{red}{\left(\left(c \cdot t - i \cdot y\right) \cdot j + {\left(\sqrt[3]{y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)}\right)}^3\right) - b \cdot \left(c \cdot z - i \cdot a\right)} \leadsto \color{blue}{(j * \left(t \cdot c - y \cdot i\right) + \left(\left(z \cdot y\right) \cdot x\right))_* - (\left(c \cdot z - i \cdot a\right) * b + \left(t \cdot \left(a \cdot x\right)\right))_*}\]
3.9