Initial program 14.1
\[\left(-x \cdot \frac{1}{\tan B}\right) + \frac{F}{\sin B} \cdot {\left(\left(F \cdot F + 2\right) + 2 \cdot x\right)}^{\left(-\frac{1}{2}\right)}\]
Simplified14.0
\[\leadsto \color{blue}{{\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}} \cdot \frac{F}{\sin B} - \frac{x}{\tan B}}\]
- Using strategy
rm Applied associate-*r/11.0
\[\leadsto \color{blue}{\frac{{\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}} \cdot F}{\sin B}} - \frac{x}{\tan B}\]
- Using strategy
rm Applied log1p-expm1-u11.0
\[\leadsto \frac{\color{blue}{\log_* (1 + (e^{{\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}} \cdot F} - 1)^*)}}{\sin B} - \frac{x}{\tan B}\]
- Using strategy
rm Applied add-sqr-sqrt11.1
\[\leadsto \frac{\log_* (1 + (e^{{\color{blue}{\left(\sqrt{(2 \cdot x + \left((F \cdot F + 2)_*\right))_*} \cdot \sqrt{(2 \cdot x + \left((F \cdot F + 2)_*\right))_*}\right)}}^{\frac{-1}{2}} \cdot F} - 1)^*)}{\sin B} - \frac{x}{\tan B}\]
Applied unpow-prod-down11.1
\[\leadsto \frac{\log_* (1 + (e^{\color{blue}{\left({\left(\sqrt{(2 \cdot x + \left((F \cdot F + 2)_*\right))_*}\right)}^{\frac{-1}{2}} \cdot {\left(\sqrt{(2 \cdot x + \left((F \cdot F + 2)_*\right))_*}\right)}^{\frac{-1}{2}}\right)} \cdot F} - 1)^*)}{\sin B} - \frac{x}{\tan B}\]
Final simplification11.1
\[\leadsto \frac{\log_* (1 + (e^{F \cdot \left({\left(\sqrt{(2 \cdot x + \left((F \cdot F + 2)_*\right))_*}\right)}^{\frac{-1}{2}} \cdot {\left(\sqrt{(2 \cdot x + \left((F \cdot F + 2)_*\right))_*}\right)}^{\frac{-1}{2}}\right)} - 1)^*)}{\sin B} - \frac{x}{\tan B}\]
