if i < 13.294522f0

1. Started with
   \[\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}\]
   18.8
2. Applied simplify to get
   \[\color{red}{\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}} \leadsto \color{blue}{\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}}\]
   0.0
3. Using strategy rm
   0.0
4. Applied *-un-lft-identity to get
   \[\frac{{\left(\frac{i}{2}\right)}^2}{\color{red}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}} \leadsto \frac{{\left(\frac{i}{2}\right)}^2}{\color{blue}{1 \cdot \left(\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0\right)}}\]
   0.0
5. Applied square-mult to get
   \[\frac{\color{red}{{\left(\frac{i}{2}\right)}^2}}{1 \cdot \left(\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0\right)} \leadsto \frac{\color{blue}{\frac{i}{2} \cdot \frac{i}{2}}}{1 \cdot \left(\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0\right)}\]
   0.0
6. Applied times-frac to get
   \[\color{red}{\frac{\frac{i}{2} \cdot \frac{i}{2}}{1 \cdot \left(\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0\right)}} \leadsto \color{blue}{\frac{\frac{i}{2}}{1} \cdot \frac{\frac{i}{2}}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}}\]
   0.1
7. Applied simplify to get
   \[\color{red}{\frac{\frac{i}{2}}{1}} \cdot \frac{\frac{i}{2}}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0} \leadsto \color{blue}{\frac{i}{2}} \cdot \frac{\frac{i}{2}}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}\]
   0.1

if 13.294522f0 < i

1. Started with
   \[\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}\]
   23.3
2. Applied simplify to get
   \[\color{red}{\frac{\frac{\left(i \cdot i\right) \cdot \left(i \cdot i\right)}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right)}}{\left(2 \cdot i\right) \cdot \left(2 \cdot i\right) - 1.0}} \leadsto \color{blue}{\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0}}\]
   15.7
3. Applied taylor to get
   \[\frac{{\left(\frac{i}{2}\right)}^2}{\left(i \cdot 2\right) \cdot \left(i \cdot 2\right) - 1.0} \leadsto 0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)\]
   0
4. Taylor expanded around inf to get
   \[\color{red}{0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)} \leadsto \color{blue}{0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)}\]
   0
5. Applied simplify to get
   \[\color{red}{0.015625 \cdot \frac{1}{{i}^2} + \left(\frac{1}{16} + 0.00390625 \cdot \frac{1}{{i}^{4}}\right)} \leadsto \color{blue}{\frac{0.00390625}{{i}^{4}} + (\left(\frac{0.015625}{i}\right) * \left(\frac{1}{i}\right) + \frac{1}{16})_*}\]
   0.0