if i < -1.2413777f-14

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   14.8
2. Using strategy rm
   14.8
3. Applied add-exp-log to get
   \[100 \cdot \frac{{\color{red}{\left(1 + \frac{i}{n}\right)}}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}}^{n} - 1}{\frac{i}{n}}\]
   14.8
4. Applied pow-exp to get
   \[100 \cdot \frac{\color{red}{{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}^{n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}}\]
   14.8
5. Applied simplify to get
   \[100 \cdot \frac{e^{\color{red}{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\color{blue}{\log_* (1 + \frac{i}{n}) \cdot n}} - 1}{\frac{i}{n}}\]
   7.3
6. Using strategy rm
   7.3
7. Applied flip3-- to get
   \[100 \cdot \frac{\color{red}{e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{\frac{{\left(e^{\log_* (1 + \frac{i}{n}) \cdot n}\right)}^{3} - {1}^{3}}{{\left(e^{\log_* (1 + \frac{i}{n}) \cdot n}\right)}^2 + \left({1}^2 + e^{\log_* (1 + \frac{i}{n}) \cdot n} \cdot 1\right)}}}{\frac{i}{n}}\]
   7.3
8. Applied simplify to get
   \[100 \cdot \frac{\frac{\color{red}{{\left(e^{\log_* (1 + \frac{i}{n}) \cdot n}\right)}^{3} - {1}^{3}}}{{\left(e^{\log_* (1 + \frac{i}{n}) \cdot n}\right)}^2 + \left({1}^2 + e^{\log_* (1 + \frac{i}{n}) \cdot n} \cdot 1\right)}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\frac{\color{blue}{(e^{\log_* (1 + \frac{i}{n}) \cdot \left(n + \left(n + n\right)\right)} - 1)^*}}{{\left(e^{\log_* (1 + \frac{i}{n}) \cdot n}\right)}^2 + \left({1}^2 + e^{\log_* (1 + \frac{i}{n}) \cdot n} \cdot 1\right)}}{\frac{i}{n}}\]
   0.5

if -1.2413777f-14 < i < 4.73221f-17

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

---

7. Applied final simplification

if 4.73221f-17 < i

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   24.2
2. Using strategy rm
   24.2
3. Applied add-exp-log to get
   \[100 \cdot \frac{{\color{red}{\left(1 + \frac{i}{n}\right)}}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}}^{n} - 1}{\frac{i}{n}}\]
   24.3
4. Applied pow-exp to get
   \[100 \cdot \frac{\color{red}{{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}^{n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}}\]
   24.3
5. Applied simplify to get
   \[100 \cdot \frac{e^{\color{red}{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\color{blue}{\log_* (1 + \frac{i}{n}) \cdot n}} - 1}{\frac{i}{n}}\]
   20.5
6. Using strategy rm
   20.5
7. Applied add-cube-cbrt to get
   \[100 \cdot \frac{\color{red}{e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{{\left(\sqrt[3]{e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1}\right)}^3}}{\frac{i}{n}}\]
   20.6
8. Applied simplify to get
   \[100 \cdot \frac{{\color{red}{\left(\sqrt[3]{e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1}\right)}}^3}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(\sqrt[3]{(e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1)^*}\right)}}^3}{\frac{i}{n}}\]
   8.0