\(\left(b \cdot c + \left(\left(y \cdot 18.0\right) \cdot \left(z \cdot t\right)\right) \cdot x\right) - \left(\left(a \cdot t + x \cdot i\right) \cdot 4.0 + \left(k \cdot j\right) \cdot 27.0\right)\)
- Started with
\[\left(\left(\left(\left(\left(\left(x \cdot 18.0\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4.0\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4.0\right) \cdot i\right) - \left(j \cdot 27.0\right) \cdot k\]
5.5
- Applied simplify to get
\[\color{red}{\left(\left(\left(\left(\left(\left(x \cdot 18.0\right) \cdot y\right) \cdot z\right) \cdot t - \left(a \cdot 4.0\right) \cdot t\right) + b \cdot c\right) - \left(x \cdot 4.0\right) \cdot i\right) - \left(j \cdot 27.0\right) \cdot k} \leadsto \color{blue}{\left(\left(t \cdot z\right) \cdot \left(18.0 \cdot \left(x \cdot y\right)\right) - 4.0 \cdot \left(t \cdot a + i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)}\]
5.7
- Using strategy
rm 5.7
- Applied distribute-lft-in to get
\[\left(\left(t \cdot z\right) \cdot \left(18.0 \cdot \left(x \cdot y\right)\right) - \color{red}{4.0 \cdot \left(t \cdot a + i \cdot x\right)}\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right) \leadsto \left(\left(t \cdot z\right) \cdot \left(18.0 \cdot \left(x \cdot y\right)\right) - \color{blue}{\left(4.0 \cdot \left(t \cdot a\right) + 4.0 \cdot \left(i \cdot x\right)\right)}\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)\]
5.7
- Applied associate--r+ to get
\[\color{red}{\left(\left(t \cdot z\right) \cdot \left(18.0 \cdot \left(x \cdot y\right)\right) - \left(4.0 \cdot \left(t \cdot a\right) + 4.0 \cdot \left(i \cdot x\right)\right)\right)} + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right) \leadsto \color{blue}{\left(\left(\left(t \cdot z\right) \cdot \left(18.0 \cdot \left(x \cdot y\right)\right) - 4.0 \cdot \left(t \cdot a\right)\right) - 4.0 \cdot \left(i \cdot x\right)\right)} + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)\]
5.7
- Applied simplify to get
\[\left(\color{red}{\left(\left(t \cdot z\right) \cdot \left(18.0 \cdot \left(x \cdot y\right)\right) - 4.0 \cdot \left(t \cdot a\right)\right)} - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right) \leadsto \left(\color{blue}{t \cdot \left(\left(x \cdot 18.0\right) \cdot \left(y \cdot z\right) - 4.0 \cdot a\right)} - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)\]
6.4
- Applied taylor to get
\[\left(t \cdot \left(\left(x \cdot 18.0\right) \cdot \left(y \cdot z\right) - 4.0 \cdot a\right) - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right) \leadsto \left(\left(18.0 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) - 4.0 \cdot \left(a \cdot t\right)\right) - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)\]
5.2
- Taylor expanded around inf to get
\[\left(\color{red}{\left(18.0 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) - 4.0 \cdot \left(a \cdot t\right)\right)} - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right) \leadsto \left(\color{blue}{\left(18.0 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) - 4.0 \cdot \left(a \cdot t\right)\right)} - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)\]
5.2
- Applied simplify to get
\[\color{red}{\left(\left(18.0 \cdot \left(y \cdot \left(t \cdot \left(x \cdot z\right)\right)\right) - 4.0 \cdot \left(a \cdot t\right)\right) - 4.0 \cdot \left(i \cdot x\right)\right) + \left(c \cdot b - j \cdot \left(27.0 \cdot k\right)\right)} \leadsto \color{blue}{\left(b \cdot c + \left(\left(y \cdot 18.0\right) \cdot \left(z \cdot t\right)\right) \cdot x\right) - \left(\left(a \cdot t + x \cdot i\right) \cdot 4.0 + \left(k \cdot j\right) \cdot 27.0\right)}\]
5.3