- Started with
\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
29.7
- Applied simplify to get
\[\color{red}{x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)} \leadsto \color{blue}{(\left(a - x\right) * \left(\frac{y - z}{\left(1.0 + t\right) - z}\right) + x)_*}\]
29.7
- Using strategy
rm 29.7
- Applied div-inv to get
\[(\left(a - x\right) * \color{red}{\left(\frac{y - z}{\left(1.0 + t\right) - z}\right)} + x)_* \leadsto (\left(a - x\right) * \color{blue}{\left(\left(y - z\right) \cdot \frac{1}{\left(1.0 + t\right) - z}\right)} + x)_*\]
29.8
- Using strategy
rm 29.8
- Applied fma-udef to get
\[\color{red}{(\left(a - x\right) * \left(\left(y - z\right) \cdot \frac{1}{\left(1.0 + t\right) - z}\right) + x)_*} \leadsto \color{blue}{\left(a - x\right) \cdot \left(\left(y - z\right) \cdot \frac{1}{\left(1.0 + t\right) - z}\right) + x}\]
29.8
- Applied simplify to get
\[\color{red}{\left(a - x\right) \cdot \left(\left(y - z\right) \cdot \frac{1}{\left(1.0 + t\right) - z}\right)} + x \leadsto \color{blue}{\frac{\left(a - x\right) \cdot \left(y - z\right)}{1.0 - \left(z - t\right)}} + x\]
49.3
- Applied taylor to get
\[\frac{\left(a - x\right) \cdot \left(y - z\right)}{1.0 - \left(z - t\right)} + x \leadsto \left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}\]
12.7
- Taylor expanded around inf to get
\[\color{red}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}} \leadsto \color{blue}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}}\]
12.7
- Applied simplify to get
\[\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z} \leadsto (\left(\frac{y}{z}\right) * x + a)_* - \frac{y}{\frac{z}{a}}\]
1.8
- Applied final simplification