if i < -6.1114333f-06

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   11.6
2. Using strategy rm
   11.6
3. Applied add-exp-log to get
   \[100 \cdot \frac{{\color{red}{\left(1 + \frac{i}{n}\right)}}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}}^{n} - 1}{\frac{i}{n}}\]
   11.6
4. Applied pow-exp to get
   \[100 \cdot \frac{\color{red}{{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}^{n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}}\]
   11.6
5. Applied simplify to get
   \[100 \cdot \frac{e^{\color{red}{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\color{blue}{\log_* (1 + \frac{i}{n}) \cdot n}} - 1}{\frac{i}{n}}\]
   2.9

if -6.1114333f-06 < i < 0.009737393f0

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   29.7
2. Applied taylor to get
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}{\frac{i}{n}}\]
   5.7
3. Taylor expanded around 0 to get
   \[100 \cdot \frac{\color{red}{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}}{\frac{i}{n}}\]
   5.7
4. Applied simplify to get
   \[\color{red}{100 \cdot \frac{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}{\frac{i}{n}}} \leadsto \color{blue}{\frac{n \cdot 100}{i} \cdot (\left(i \cdot i\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_*}\]
   7.7
5. Applied taylor to get
   \[\frac{n \cdot 100}{i} \cdot (\left(i \cdot i\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_* \leadsto 100 \cdot \frac{n \cdot (\left({i}^2\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_*}{i}\]
   0.0
6. Taylor expanded around 0 to get
   \[\color{red}{100 \cdot \frac{n \cdot (\left({i}^2\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_*}{i}} \leadsto \color{blue}{100 \cdot \frac{n \cdot (\left({i}^2\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_*}{i}}\]
   0.0

if 0.009737393f0 < i

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   16.5
2. Using strategy rm
   16.5
3. Applied associate-/r/ to get
   \[100 \cdot \color{red}{\frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}} \leadsto 100 \cdot \color{blue}{\left(\frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{i} \cdot n\right)}\]
   16.4