if b < -3.5057410872941088e+47

1. Started with
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   52.6
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   62.5
3. Using strategy rm
   62.5
4. Applied sub-neg to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{red}{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{blue}{\left(t + \left(-1.0\right)\right)}}}}\]
   62.5
5. Applied unpow-prod-up to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t + \left(-1.0\right)\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}}\]
   62.5
6. Applied div-inv to get
   \[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{y \cdot \frac{1}{{z}^{y}}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}\]
   62.5
7. Applied times-frac to get
   \[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{y \cdot \frac{1}{{z}^{y}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}}\]
   62.5
8. Applied *-un-lft-identity to get
   \[\frac{\color{red}{\frac{x}{e^{b}}}}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}} \leadsto \frac{\color{blue}{1 \cdot \frac{x}{e^{b}}}}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}\]
   62.5
9. Applied times-frac to get
   \[\color{red}{\frac{1 \cdot \frac{x}{e^{b}}}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}} \leadsto \color{blue}{\frac{1}{\frac{y}{{a}^{t}}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}}\]
   62.5
10. Applied simplify to get
    \[\color{red}{\frac{1}{\frac{y}{{a}^{t}}}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}} \leadsto \color{blue}{\frac{{a}^{t}}{y}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}\]
    62.5
11. Applied simplify to get
    \[\frac{{a}^{t}}{y} \cdot \color{red}{\frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}} \leadsto \frac{{a}^{t}}{y} \cdot \color{blue}{\left({a}^{\left(-1.0\right)} \cdot \left(\frac{x}{e^{b}} \cdot {z}^{y}\right)\right)}\]
    62.5
12. Applied taylor to get
    \[\frac{{a}^{t}}{y} \cdot \left({a}^{\left(-1.0\right)} \cdot \left(\frac{x}{e^{b}} \cdot {z}^{y}\right)\right) \leadsto \frac{{a}^{t}}{y} \cdot \left({a}^{\left(-1.0\right)} \cdot \left(\left(y \cdot \left(\log z \cdot x\right) + x\right) - b \cdot x\right)\right)\]
    23.1
13. Taylor expanded around 0 to get
    \[\frac{{a}^{t}}{y} \cdot \left({a}^{\left(-1.0\right)} \cdot \color{red}{\left(\left(y \cdot \left(\log z \cdot x\right) + x\right) - b \cdot x\right)}\right) \leadsto \frac{{a}^{t}}{y} \cdot \left({a}^{\left(-1.0\right)} \cdot \color{blue}{\left(\left(y \cdot \left(\log z \cdot x\right) + x\right) - b \cdot x\right)}\right)\]
    23.1
14. Applied simplify to get
    \[\color{red}{\frac{{a}^{t}}{y} \cdot \left({a}^{\left(-1.0\right)} \cdot \left(\left(y \cdot \left(\log z \cdot x\right) + x\right) - b \cdot x\right)\right)} \leadsto \color{blue}{\left({a}^{\left(-1.0\right)} \cdot \frac{{a}^{t}}{\frac{y}{x}}\right) \cdot (\left(\log z\right) * y + \left(1 - b\right))_*}\]
    10.3

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
   \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
   12.1
2. Applied simplify to get
   \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
   32.2
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
   \[\color{red}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left({y}^2 \cdot \left(\log z \cdot a\right) + y \cdot \left(\log a \cdot \left(a \cdot t\right)\right)\right)}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{y \cdot a - \left(y \cdot a\right) \cdot (\left(\log z\right) * y + \left(t \cdot \log a\right))_*}}\]
   11.1