Initial program 45.7
\[\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}\]
Simplified15.3
\[\leadsto \color{blue}{\frac{\frac{i}{2} \cdot \frac{i}{2}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}}\]
- Using strategy
rm Applied *-un-lft-identity15.3
\[\leadsto \frac{\frac{i}{2} \cdot \frac{i}{2}}{\color{blue}{1 \cdot \left(\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0\right)}}\]
Applied times-frac15.4
\[\leadsto \color{blue}{\frac{\frac{i}{2}}{1} \cdot \frac{\frac{i}{2}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}}\]
Simplified15.4
\[\leadsto \color{blue}{\frac{i}{2}} \cdot \frac{\frac{i}{2}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}\]
- Using strategy
rm Applied associate-*l/15.4
\[\leadsto \color{blue}{\frac{i \cdot \frac{\frac{i}{2}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}}{2}}\]
Simplified0.2
\[\leadsto \frac{\color{blue}{\frac{i}{(\left(\frac{1.0}{i}\right) \cdot -2 + \left(8 \cdot i\right))_*}}}{2}\]
- Using strategy
rm Applied clear-num0.5
\[\leadsto \frac{\color{blue}{\frac{1}{\frac{(\left(\frac{1.0}{i}\right) \cdot -2 + \left(8 \cdot i\right))_*}{i}}}}{2}\]
Final simplification0.5
\[\leadsto \frac{\frac{1}{\frac{(\left(\frac{1.0}{i}\right) \cdot -2 + \left(i \cdot 8\right))_*}{i}}}{2}\]
