if i < -9.087224170415142e-132 or 7.872073041510645e-51 < i < 1.4768914403135694e+243

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   39.3
2. Using strategy rm
   39.3
3. Applied add-exp-log to get
   \[100 \cdot \frac{{\color{red}{\left(1 + \frac{i}{n}\right)}}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{{\color{blue}{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}}^{n} - 1}{\frac{i}{n}}\]
   39.3
4. Applied pow-exp to get
   \[100 \cdot \frac{\color{red}{{\left(e^{\log \left(1 + \frac{i}{n}\right)}\right)}^{n}} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n}} - 1}{\frac{i}{n}}\]
   39.3
5. Applied expm1-def to get
   \[100 \cdot \frac{\color{red}{e^{\log \left(1 + \frac{i}{n}\right) \cdot n} - 1}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{(e^{\log \left(1 + \frac{i}{n}\right) \cdot n} - 1)^*}}{\frac{i}{n}}\]
   30.7
6. Applied taylor to get
   \[100 \cdot \frac{(e^{\log \left(1 + \frac{i}{n}\right) \cdot n} - 1)^*}{\frac{i}{n}} \leadsto 100 \cdot \frac{n \cdot (e^{\log \left(\frac{i}{n} + 1\right) \cdot n} - 1)^*}{i}\]
   31.7
7. Taylor expanded around 0 to get
   \[100 \cdot \color{red}{\frac{n \cdot (e^{\log \left(\frac{i}{n} + 1\right) \cdot n} - 1)^*}{i}} \leadsto 100 \cdot \color{blue}{\frac{n \cdot (e^{\log \left(\frac{i}{n} + 1\right) \cdot n} - 1)^*}{i}}\]
   31.7
8. Applied simplify to get
   \[100 \cdot \frac{n \cdot (e^{\log \left(\frac{i}{n} + 1\right) \cdot n} - 1)^*}{i} \leadsto \frac{n \cdot 100}{i} \cdot (e^{\log_* (1 + \frac{i}{n}) \cdot n} - 1)^*\]
   7.0

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9. Applied final simplification

if -9.087224170415142e-132 < i < 7.872073041510645e-51

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   61.7
2. Applied taylor to get
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right) - 1}{\frac{i}{n}}\]
   61.3
3. Taylor expanded around 0 to get
   \[100 \cdot \frac{\color{red}{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right)} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right)} - 1}{\frac{i}{n}}\]
   61.3
4. Applied simplify to get
   \[\color{red}{100 \cdot \frac{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right) - 1}{\frac{i}{n}}} \leadsto \color{blue}{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \frac{100}{\frac{i}{n}}}\]
   19.0
5. Using strategy rm
   19.0
6. Applied associate-/r/ to get
   \[(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \color{red}{\frac{100}{\frac{i}{n}}} \leadsto (i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \color{blue}{\left(\frac{100}{i} \cdot n\right)}\]
   19.3
7. Applied associate-*r* to get
   \[\color{red}{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \left(\frac{100}{i} \cdot n\right)} \leadsto \color{blue}{\left((i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \frac{100}{i}\right) \cdot n}\]
   0.6

if 1.4768914403135694e+243 < i

1. Started with
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
   62.6
2. Applied taylor to get
   \[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{e^{\frac{\log n - \log i}{n}} - 1}{\frac{i}{n}}\]
   28.6
3. Taylor expanded around inf to get
   \[100 \cdot \frac{\color{red}{e^{\frac{\log n - \log i}{n}} - 1}}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{e^{\frac{\log n - \log i}{n}} - 1}}{\frac{i}{n}}\]
   28.6
4. Applied simplify to get
   \[\color{red}{100 \cdot \frac{e^{\frac{\log n - \log i}{n}} - 1}{\frac{i}{n}}} \leadsto \color{blue}{\frac{(e^{\frac{\log n - \log i}{n}} - 1)^*}{\frac{\frac{i}{100}}{n}}}\]
   1.0