if (* y (log z)) < -2787.4988f0

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   2.9
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   11.2
3. Using strategy rm
   11.2
4. Applied add-cube-cbrt to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3}}}\]
   11.2
5. Using strategy rm
   11.2
6. Applied add-exp-log to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{e^{\log \left({\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3\right)}}}}\]
   11.2
7. Applied add-exp-log to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{e^{\log \left({\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{e^{\log \left(\frac{y}{{z}^{y}}\right)}}}{e^{\log \left({\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3\right)}}}\]
   20.7
8. Applied div-exp to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{e^{\log \left(\frac{y}{{z}^{y}}\right)}}{e^{\log \left({\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{e^{\log \left(\frac{y}{{z}^{y}}\right) - \log \left({\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3\right)}}}\]
   20.7
9. Applied simplify to get
   \[\frac{\frac{x}{e^{b}}}{e^{\color{red}{\log \left(\frac{y}{{z}^{y}}\right) - \log \left({\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{e^{\color{blue}{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}}}\]
   19.1
10. Applied taylor to get
    \[\frac{\frac{x}{e^{b}}}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}} \leadsto \frac{x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}} - \frac{b \cdot x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}}\]
    16.8
11. Taylor expanded around 0 to get
    \[\color{red}{\frac{x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}} - \frac{b \cdot x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}}} \leadsto \color{blue}{\frac{x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}} - \frac{b \cdot x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}}}\]
    16.8
12. Applied simplify to get
    \[\frac{x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}} - \frac{b \cdot x}{e^{\log y - (y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*}} \leadsto e^{(y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_*} \cdot \left(\frac{x}{y} - \frac{b}{\frac{y}{x}}\right)\]
    0.9

---

13. Applied final simplification

if -2787.4988f0 < (* y (log z)) < 555.9554f0

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   8.3
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   2.0
3. Using strategy rm
   2.0
4. Applied sub-neg to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{red}{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{blue}{\left(t + \left(-1.0\right)\right)}}}}\]
   2.0
5. Applied unpow-prod-up to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t + \left(-1.0\right)\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}}\]
   1.9

if 555.9554f0 < (* y (log z))

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   24.8
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   31.1
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}\]
   9.6
4. Taylor expanded around 0 to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}}\]
   9.6
5. Applied simplify to get
   \[\color{red}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left(y \cdot a\right) \cdot (\left(\log z\right) * y + \left(t \cdot \log a\right))_*}}\]
   7.8