if b < -1.5593f0

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   18.2
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   29.7
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}\]
   22.3
4. Taylor expanded around inf to get
   \[\color{red}{\frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}} \leadsto \color{blue}{\frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}}\]
   22.3
5. Applied simplify to get
   \[\color{red}{\frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}} \leadsto \color{blue}{\frac{e^{(\left(-\log a\right) * \left(\frac{1}{t} - 1.0\right) + \left(\frac{-1}{y} \cdot \log z\right))_*}}{\frac{y}{x} \cdot e^{\frac{1}{b}}}}\]
   21.8
6. Applied taylor to get
   \[\frac{e^{(\left(-\log a\right) * \left(\frac{1}{t} - 1.0\right) + \left(\frac{-1}{y} \cdot \log z\right))_*}}{\frac{y}{x} \cdot e^{\frac{1}{b}}} \leadsto \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b}\]
   1.1
7. Taylor expanded around inf to get
   \[\color{red}{\frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b}} \leadsto \color{blue}{\frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b}}\]
   1.1
8. Applied simplify to get
   \[\frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b} \leadsto \frac{e^{(\left(\log a\right) * \left(t - 1.0\right) + \left(y \cdot \log z\right))_*}}{y} \cdot \left(x - \frac{x}{b}\right)\]
   1.1

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9. Applied final simplification

if -1.5593f0 < b < 15.794751f0

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   13.4
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   1.6
3. Using strategy rm
   1.6
4. Applied add-sqr-sqrt to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{\left(\sqrt{{a}^{\left(t - 1.0\right)}}\right)}^2}}}\]
   1.7

if 15.794751f0 < b

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   7.1
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   13.5
3. Using strategy rm
   13.5
4. Applied pow-to-exp to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{e^{\log a \cdot \left(t - 1.0\right)}}}}\]
   13.5
5. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{e^{\log a \cdot \left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}\]
   2.6
6. Taylor expanded around 0 to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}}\]
   2.6
7. Applied simplify to get
   \[\frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)} \leadsto \frac{\frac{x}{e^{b}}}{a \cdot \left(y - \left(y \cdot y\right) \cdot \log z\right) - \left(\log a \cdot \left(a \cdot t\right)\right) \cdot y}\]
   0.6

---

8. Applied final simplification
9. Applied simplify to get
   \[\color{red}{\frac{\frac{x}{e^{b}}}{a \cdot \left(y - \left(y \cdot y\right) \cdot \log z\right) - \left(\log a \cdot \left(a \cdot t\right)\right) \cdot y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\left(y - \left(\log z \cdot \left(y \cdot y\right) + \log a \cdot \left(y \cdot t\right)\right)\right) \cdot a}}\]
   1.5