if i < -2.266274739505801e-76

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   33.9
2. Using strategy rm
   33.9
3. Applied add-exp-log to get
   \[100 \cdot \frac{{\color{red}{\left(1 + \frac{i}{n}\right)}}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}}^{n} - 1}{\frac{i}{n}}\]
   33.9
4. Applied pow-exp to get
   \[100 \cdot \frac{\color{red}{{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}^{n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}}\]
   33.9
5. Applied simplify to get
   \[100 \cdot \frac{e^{\color{red}{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\color{blue}{\log_* (1 + \frac{i}{n}) \cdot n}} - 1}{\frac{i}{n}}\]
   15.6
6. Applied taylor to get
   \[100 \cdot \frac{e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{n \cdot \log_* (1 + \frac{i}{n})} - 1}{\frac{i}{n}}\]
   15.6
7. Taylor expanded around 0 to get
   \[100 \cdot \frac{e^{\color{red}{n \cdot \log_* (1 + \frac{i}{n})}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\color{blue}{n \cdot \log_* (1 + \frac{i}{n})}} - 1}{\frac{i}{n}}\]
   15.6
8. Applied simplify to get
   \[100 \cdot \frac{e^{n \cdot \log_* (1 + \frac{i}{n})} - 1}{\frac{i}{n}} \leadsto \frac{(e^{n \cdot \log_* (1 + \frac{i}{n})} - 1)^*}{\frac{\frac{i}{n}}{100}}\]
   0.9

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9. Applied final simplification

if -2.266274739505801e-76 < i < 8.584780819621077

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   61.7
2. Applied taylor to get
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}{\frac{i}{n}}\]
   16.2
3. Taylor expanded around 0 to get
   \[100 \cdot \frac{\color{red}{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}}{\frac{i}{n}}\]
   16.2
4. Applied simplify to get
   \[\color{red}{100 \cdot \frac{\frac{1}{2} \cdot {i}^2 + \left(i + \frac{1}{6} \cdot {i}^{3}\right)}{\frac{i}{n}}} \leadsto \color{blue}{\frac{n \cdot 100}{i} \cdot (\left(i \cdot i\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_*}\]
   17.2
5. Using strategy rm
   17.2
6. Applied fma-udef to get
   \[\frac{n \cdot 100}{i} \cdot \color{red}{(\left(i \cdot i\right) * \left((i * \frac{1}{6} + \frac{1}{2})_*\right) + i)_*} \leadsto \frac{n \cdot 100}{i} \cdot \color{blue}{\left(\left(i \cdot i\right) \cdot (i * \frac{1}{6} + \frac{1}{2})_* + i\right)}\]
   17.2
7. Applied distribute-lft-in to get
   \[\color{red}{\frac{n \cdot 100}{i} \cdot \left(\left(i \cdot i\right) \cdot (i * \frac{1}{6} + \frac{1}{2})_* + i\right)} \leadsto \color{blue}{\frac{n \cdot 100}{i} \cdot \left(\left(i \cdot i\right) \cdot (i * \frac{1}{6} + \frac{1}{2})_*\right) + \frac{n \cdot 100}{i} \cdot i}\]
   17.7
8. Applied simplify to get
   \[\color{red}{\frac{n \cdot 100}{i} \cdot \left(\left(i \cdot i\right) \cdot (i * \frac{1}{6} + \frac{1}{2})_*\right)} + \frac{n \cdot 100}{i} \cdot i \leadsto \color{blue}{\frac{100 \cdot n}{\frac{1}{i}} \cdot (i * \frac{1}{6} + \frac{1}{2})_*} + \frac{n \cdot 100}{i} \cdot i\]
   17.2
9. Applied simplify to get
   \[\frac{100 \cdot n}{\frac{1}{i}} \cdot (i * \frac{1}{6} + \frac{1}{2})_* + \color{red}{\frac{n \cdot 100}{i} \cdot i} \leadsto \frac{100 \cdot n}{\frac{1}{i}} \cdot (i * \frac{1}{6} + \frac{1}{2})_* + \color{blue}{\frac{100 \cdot n}{1}}\]
   0.0

if 8.584780819621077 < i

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   50.9
2. Applied taylor to get
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\frac{\log n - \log i}{n}} - 1}{\frac{i}{n}}\]
   41.2
3. Taylor expanded around inf to get
   \[100 \cdot \frac{\color{red}{e^{\frac{\log n - \log i}{n}} - 1}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\frac{\log n - \log i}{n}} - 1}}{\frac{i}{n}}\]
   41.2
4. Applied simplify to get
   \[\color{red}{100 \cdot \frac{e^{\frac{\log n - \log i}{n}} - 1}{\frac{i}{n}}} \leadsto \color{blue}{\frac{(e^{\frac{\log n - \log i}{n}} - 1)^*}{\frac{\frac{i}{100}}{n}}}\]
   41.6
5. Applied taylor to get
   \[\frac{(e^{\frac{\log n - \log i}{n}} - 1)^*}{\frac{\frac{i}{100}}{n}} \leadsto 100 \cdot \frac{n \cdot (e^{n \cdot \left(\log \left(\frac{1}{n}\right) - \log \left(\frac{1}{i}\right)\right)} - 1)^*}{i}\]
   0.3
6. Taylor expanded around inf to get
   \[\color{red}{100 \cdot \frac{n \cdot (e^{n \cdot \left(\log \left(\frac{1}{n}\right) - \log \left(\frac{1}{i}\right)\right)} - 1)^*}{i}} \leadsto \color{blue}{100 \cdot \frac{n \cdot (e^{n \cdot \left(\log \left(\frac{1}{n}\right) - \log \left(\frac{1}{i}\right)\right)} - 1)^*}{i}}\]
   0.3
7. Applied simplify to get
   \[100 \cdot \frac{n \cdot (e^{n \cdot \left(\log \left(\frac{1}{n}\right) - \log \left(\frac{1}{i}\right)\right)} - 1)^*}{i} \leadsto \frac{n \cdot 100}{i} \cdot (e^{\left(\left(-\log n\right) - \left(-\log i\right)\right) \cdot n} - 1)^*\]
   0.4

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8. Applied final simplification