if b < -3.5057410872941088e+47

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   40.9
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   62.6
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}\]
   43.3
4. Taylor expanded around inf to get
   \[\color{red}{\frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}} \leadsto \color{blue}{\frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}}\]
   43.3
5. Applied simplify to get
   \[\color{red}{\frac{e^{-1 \cdot \left(\log a \cdot \left(\frac{1}{t} - 1.0\right)\right)} \cdot \left(e^{-1 \cdot \frac{\log z}{y}} \cdot x\right)}{y \cdot e^{\frac{1}{b}}}} \leadsto \color{blue}{\frac{e^{(\left(-\log a\right) * \left(\frac{1}{t} - 1.0\right) + \left(\frac{-1}{y} \cdot \log z\right))_*}}{\frac{y}{x} \cdot e^{\frac{1}{b}}}}\]
   43.5
6. Applied taylor to get
   \[\frac{e^{(\left(-\log a\right) * \left(\frac{1}{t} - 1.0\right) + \left(\frac{-1}{y} \cdot \log z\right))_*}}{\frac{y}{x} \cdot e^{\frac{1}{b}}} \leadsto \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b}\]
   3.5
7. Taylor expanded around inf to get
   \[\color{red}{\frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b}} \leadsto \color{blue}{\frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b}}\]
   3.5
8. Applied simplify to get
   \[\frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y} - \frac{e^{(\left(-\log \left(\frac{1}{a}\right)\right) * \left(t - 1.0\right) + \left(-1 \cdot \left(y \cdot \log \left(\frac{1}{z}\right)\right)\right))_*} \cdot x}{y \cdot b} \leadsto \frac{e^{(\left(\log a\right) * \left(t - 1.0\right) + \left(y \cdot \log z\right))_*}}{y} \cdot \left(x - \frac{x}{b}\right)\]
   3.6

---

9. Applied final simplification

if -3.5057410872941088e+47 < b < 1025610586077747.4

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   31.4
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   5.9
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\left(\frac{1}{2} \cdot \left({b}^2 \cdot x\right) + x\right) - b \cdot x}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
   1.9
4. Taylor expanded around 0 to get
   \[\frac{\color{red}{\left(\frac{1}{2} \cdot \left({b}^2 \cdot x\right) + x\right) - b \cdot x}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\color{blue}{\left(\frac{1}{2} \cdot \left({b}^2 \cdot x\right) + x\right) - b \cdot x}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
   1.9

if 1025610586077747.4 < b

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   12.2
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   32.1
3. Applied taylor to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}\]
   11.9
4. Taylor expanded around 0 to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}}\]
   11.9
5. Applied simplify to get
   \[\color{red}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left(y \cdot a\right) \cdot (\left(\log z\right) * y + \left(t \cdot \log a\right))_*}}\]
   11.0