if i < -8.466995f-21

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 add-exp-log to get
   \[100 \cdot \frac{{\color{red}{\left(1 + \frac{i}{n}\right)}}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}}^{n} - 1}{\frac{i}{n}}\]
   16.5
4. Applied pow-exp to get
   \[100 \cdot \frac{\color{red}{{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}^{n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}}\]
   16.5
5. Applied expm1-def to get
   \[100 \cdot \frac{\color{red}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n} - 1}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{(e^{\log \left(1 + \frac{i}{n}\right) \cdot n} - 1)^*}}{\frac{i}{n}}\]
   13.1
6. Using strategy rm
   13.1
7. Applied add-cube-cbrt to get
   \[100 \cdot \frac{(e^{\color{red}{\log \left(1 + \frac{i}{n}\right)} \cdot n} - 1)^*}{\frac{i}{n}} \leadsto 100 \cdot \frac{(e^{\color{blue}{{\left(\sqrt[3]{\log \left(1 + \frac{i}{n}\right)}\right)}^3} \cdot n} - 1)^*}{\frac{i}{n}}\]
   13.1
8. Applied simplify to get
   \[100 \cdot \frac{(e^{{\color{red}{\left(\sqrt[3]{\log \left(1 + \frac{i}{n}\right)}\right)}}^3 \cdot n} - 1)^*}{\frac{i}{n}} \leadsto 100 \cdot \frac{(e^{{\color{blue}{\left(\sqrt[3]{\log_* (1 + \frac{i}{n})}\right)}}^3 \cdot n} - 1)^*}{\frac{i}{n}}\]
   1.1

if -8.466995f-21 < i < 0.15324226f0

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   29.6
2. Using strategy rm
   29.6
3. Applied div-sub to get
   \[100 \cdot \color{red}{\frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}} \leadsto 100 \cdot \color{blue}{\left(\frac{{\left(1 + \frac{i}{n}\right)}^{n}}{\frac{i}{n}} - \frac{1}{\frac{i}{n}}\right)}\]
   29.7
4. Applied simplify to get
   \[100 \cdot \left(\frac{{\left(1 + \frac{i}{n}\right)}^{n}}{\frac{i}{n}} - \color{red}{\frac{1}{\frac{i}{n}}}\right) \leadsto 100 \cdot \left(\frac{{\left(1 + \frac{i}{n}\right)}^{n}}{\frac{i}{n}} - \color{blue}{\frac{n}{i}}\right)\]
   29.7
5. Applied taylor to get
   \[100 \cdot \left(\frac{{\left(1 + \frac{i}{n}\right)}^{n}}{\frac{i}{n}} - \frac{n}{i}\right) \leadsto 100 \cdot n + \left(\frac{50}{3} \cdot \left(n \cdot {i}^2\right) + 50 \cdot \left(n \cdot i\right)\right)\]
   0.0
6. Taylor expanded around 0 to get
   \[\color{red}{100 \cdot n + \left(\frac{50}{3} \cdot \left(n \cdot {i}^2\right) + 50 \cdot \left(n \cdot i\right)\right)} \leadsto \color{blue}{100 \cdot n + \left(\frac{50}{3} \cdot \left(n \cdot {i}^2\right) + 50 \cdot \left(n \cdot i\right)\right)}\]
   0.0
7. Applied simplify to get
   \[100 \cdot n + \left(\frac{50}{3} \cdot \left(n \cdot {i}^2\right) + 50 \cdot \left(n \cdot i\right)\right) \leadsto (\left(50 \cdot n\right) * i + \left((\left(i \cdot i\right) * \left(\frac{50}{3} \cdot n\right) + \left(n \cdot 100\right))_*\right))_*\]
   0.0

---

8. Applied final simplification

if 0.15324226f0 < i

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   19.1
2. Applied taylor to get
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot 0\]
   0
3. Taylor expanded around 0 to get
   \[100 \cdot \color{red}{0} \leadsto 100 \cdot \color{blue}{0}\]
   0
4. Applied simplify to get
   \[\color{red}{100 \cdot 0} \leadsto \color{blue}{0}\]
   0