- Started with
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
0
- Applied simplify to get
\[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
37.8
- Using strategy
rm 37.8
- Applied sub-neg to get
\[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{red}{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{blue}{\left(t + \left(-1.0\right)\right)}}}}\]
37.8
- Applied unpow-prod-up to get
\[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t + \left(-1.0\right)\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}}\]
37.8
- Applied div-inv to get
\[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{y \cdot \frac{1}{{z}^{y}}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}\]
37.8
- Applied times-frac to get
\[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{y \cdot \frac{1}{{z}^{y}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}}\]
37.8
- Applied associate-/r* to get
\[\color{red}{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}} \leadsto \color{blue}{\frac{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}}\]
37.8
- Using strategy
rm 37.8
- Applied add-exp-log to get
\[\frac{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}}{\color{red}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}} \leadsto \frac{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}}{\color{blue}{e^{\log \left(\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}\right)}}}\]
37.8
- Applied add-exp-log to get
\[\frac{\color{red}{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}}}{e^{\log \left(\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}\right)}} \leadsto \frac{\color{blue}{e^{\log \left(\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}\right)}}}{e^{\log \left(\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}\right)}}\]
37.8
- Applied div-exp to get
\[\color{red}{\frac{e^{\log \left(\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}\right)}}{e^{\log \left(\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}\right)}}} \leadsto \color{blue}{e^{\log \left(\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}\right) - \log \left(\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}\right)}}\]
37.8
- Applied simplify to get
\[e^{\color{red}{\log \left(\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}\right) - \log \left(\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}\right)}} \leadsto e^{\color{blue}{(y * \left(\log z\right) + \left(\log a \cdot \left(t - 1.0\right)\right))_* + \left(\log \left(\frac{x}{y}\right) - b\right)}}\]
0
- Started with
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
19.4
- Applied simplify to get
\[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
4.2
- Using strategy
rm 4.2
- Applied sub-neg to get
\[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{red}{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\color{blue}{\left(t + \left(-1.0\right)\right)}}}}\]
4.2
- Applied unpow-prod-up to get
\[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t + \left(-1.0\right)\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}}\]
4.2
- Applied div-inv to get
\[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{y \cdot \frac{1}{{z}^{y}}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}\]
4.2
- Applied times-frac to get
\[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{y \cdot \frac{1}{{z}^{y}}}{{a}^{t} \cdot {a}^{\left(-1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}}\]
4.2
- Applied associate-/r* to get
\[\color{red}{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}} \leadsto \color{blue}{\frac{\frac{\frac{x}{e^{b}}}{\frac{y}{{a}^{t}}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(-1.0\right)}}}}\]
2.4