if b < -46.4548f0

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   23.9
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   30.5
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{\frac{1}{b}}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
   1.8
4. Taylor expanded around inf to get
   \[\frac{\color{red}{\frac{x}{e^{\frac{1}{b}}}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\color{blue}{\frac{x}{e^{\frac{1}{b}}}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
   1.8

if -46.4548f0 < b < 0.08216437f0

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   13.7
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   1.8
3. Using strategy rm
   1.8
4. Applied *-un-lft-identity to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{1 \cdot {a}^{\left(t - 1.0\right)}}}}\]
   1.8
5. Applied div-inv to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{1 \cdot {a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{y \cdot \frac{1}{{z}^{y}}}}{1 \cdot {a}^{\left(t - 1.0\right)}}}\]
   1.8
6. Applied times-frac to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{y \cdot \frac{1}{{z}^{y}}}{1 \cdot {a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   1.8
7. Applied *-un-lft-identity to get
   \[\frac{\color{red}{\frac{x}{e^{b}}}}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\color{blue}{1 \cdot \frac{x}{e^{b}}}}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
   1.8
8. Applied times-frac to get
   \[\color{red}{\frac{1 \cdot \frac{x}{e^{b}}}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}} \leadsto \color{blue}{\frac{1}{\frac{y}{1}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   1.8
9. Applied simplify to get
   \[\color{red}{\frac{1}{\frac{y}{1}}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \color{blue}{\frac{1}{y}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
   1.8
10. Applied simplify to get
    \[\frac{1}{y} \cdot \color{red}{\frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{1}{y} \cdot \color{blue}{\left(\left(\frac{x}{e^{b}} \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}\right)}\]
    1.8

if 0.08216437f0 < b

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   7.7
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   13.8
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}\]
   2.8
4. Taylor expanded around 0 to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}}\]
   2.8
5. Applied simplify to get
   \[\color{red}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left(y \cdot a\right) \cdot (\left(\log z\right) * y + \left(t \cdot \log a\right))_*}}\]
   4.8