\((\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - t \cdot a\right)\right))_* - \frac{b}{1} \cdot \left(z \cdot c - a \cdot i\right)\)
- Started with
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
11.4
- Applied simplify to get
\[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
11.4
- Using strategy
rm 11.4
- Applied flip-- to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \color{red}{\left(c \cdot z - i \cdot a\right)} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \color{blue}{\frac{{\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2}{c \cdot z + i \cdot a}}\]
23.1
- Applied associate-*r/ to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{red}{b \cdot \frac{{\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2}{c \cdot z + i \cdot a}} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \color{blue}{\frac{b \cdot \left({\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2\right)}{c \cdot z + i \cdot a}}\]
25.5
- Applied taylor to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - \frac{b \cdot \left({\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2\right)}{c \cdot z + i \cdot a} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - \frac{b \cdot \left({\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2\right)}{c \cdot z + i \cdot a}\]
26.1
- Taylor expanded around inf to get
\[(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - \frac{b \cdot \left({\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2\right)}{c \cdot z + i \cdot a} \leadsto (\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_* - \frac{b \cdot \left({\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2\right)}{c \cdot z + i \cdot a}\]
26.1
- Applied simplify to get
\[(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_* - \frac{b \cdot \left({\left(c \cdot z\right)}^2 - {\left(i \cdot a\right)}^2\right)}{c \cdot z + i \cdot a} \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(a \cdot x\right) \cdot t\right))_* - \frac{b}{1} \cdot \left(z \cdot c - a \cdot i\right)\]
11.8
- Applied final simplification
- Applied simplify to get
\[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(a \cdot x\right) \cdot t\right))_* - \frac{b}{1} \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - t \cdot a\right)\right))_* - \frac{b}{1} \cdot \left(z \cdot c - a \cdot i\right)}\]
11.4
- Removed slow pow expressions
