- Started with
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
29.8
- Applied simplify to get
\[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
30.8
- Using strategy
rm 30.8
- Applied associate-*l/ to get
\[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
30.8
- Applied frac-times to get
\[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{y \cdot e^{b}}}\]
30.8
- Applied taylor to get
\[\frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{y \cdot e^{b}} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)}\]
27.1
- Taylor expanded around 0 to get
\[\frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{\color{red}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)}} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{\color{blue}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)}}\]
27.1
- Applied taylor to get
\[\frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)} \leadsto \frac{{\left(\frac{1}{{a}^{1.0}}\right)}^{1.0} \cdot x}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)}\]
13.7
- Taylor expanded around 0 to get
\[\frac{\color{red}{{\left(\frac{1}{{a}^{1.0}}\right)}^{1.0} \cdot x}}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)} \leadsto \frac{\color{blue}{{\left(\frac{1}{{a}^{1.0}}\right)}^{1.0} \cdot x}}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)}\]
13.7
- Applied simplify to get
\[\color{red}{\frac{{\left(\frac{1}{{a}^{1.0}}\right)}^{1.0} \cdot x}{\frac{1}{2} \cdot \left(y \cdot {b}^2\right) + \left(y + y \cdot b\right)}} \leadsto \color{blue}{\frac{\frac{{\left(\frac{1}{{a}^{1.0}}\right)}^{1.0}}{\frac{y}{x}}}{\left(b + 1\right) + \frac{1}{2} \cdot \left(b \cdot b\right)}}\]
6.2