\((\left(t \cdot c - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z\right) + x \cdot \left(-a \cdot t\right)\right))_* - b \cdot (\left(-i\right) * a + \left(c \cdot z\right))_*\)
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
5.4
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
5.4
- Using strategy
rm 5.4
- Applied sub-neg to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \color{red}{\left(c \cdot z - i \cdot a\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \color{blue}{\left(c \cdot z + \left(-i \cdot a\right)\right)}\]
5.4
- Applied distribute-lft-in to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{red}{b \cdot \left(c \cdot z + \left(-i \cdot a\right)\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{blue}{\left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)}\]
5.4
- Applied taylor to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right) \leadsto (\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)\]
5.4
- Taylor expanded around 0 to get
\[\color{red}{(\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right) \leadsto \color{blue}{(\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)\]
5.4
- Applied simplify to get
\[\color{red}{(\left(c \cdot t - y \cdot i\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)} \leadsto \color{blue}{(\left(t \cdot c - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot (\left(-i\right) * a + \left(c \cdot z\right))_*}\]
5.4
- Using strategy
rm 5.4
- Applied sub-neg to get
\[(\left(t \cdot c - i \cdot y\right) * j + \left(x \cdot \color{red}{\left(y \cdot z - a \cdot t\right)}\right))_* - b \cdot (\left(-i\right) * a + \left(c \cdot z\right))_* \leadsto (\left(t \cdot c - i \cdot y\right) * j + \left(x \cdot \color{blue}{\left(y \cdot z + \left(-a \cdot t\right)\right)}\right))_* - b \cdot (\left(-i\right) * a + \left(c \cdot z\right))_*\]
5.4
- Applied distribute-lft-in to get
\[(\left(t \cdot c - i \cdot y\right) * j + \color{red}{\left(x \cdot \left(y \cdot z + \left(-a \cdot t\right)\right)\right)})_* - b \cdot (\left(-i\right) * a + \left(c \cdot z\right))_* \leadsto (\left(t \cdot c - i \cdot y\right) * j + \color{blue}{\left(x \cdot \left(y \cdot z\right) + x \cdot \left(-a \cdot t\right)\right)})_* - b \cdot (\left(-i\right) * a + \left(c \cdot z\right))_*\]
5.4
- Removed slow pow expressions
