Initial program 0.0
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
Initial simplification0.0
\[\leadsto \sin re \cdot \left(0.5 \cdot e^{im} + \frac{0.5}{e^{im}}\right)\]
- Using strategy
rm Applied distribute-rgt-in0.0
\[\leadsto \color{blue}{\left(0.5 \cdot e^{im}\right) \cdot \sin re + \frac{0.5}{e^{im}} \cdot \sin re}\]
Taylor expanded around inf 0.0
\[\leadsto \color{blue}{0.5 \cdot \frac{\sin re}{e^{im}} + 0.5 \cdot \left(\sin re \cdot e^{im}\right)}\]
Simplified0.0
\[\leadsto \color{blue}{0.5 \cdot \left(\frac{\sin re}{e^{im}} + e^{im} \cdot \sin re\right)}\]
- Using strategy
rm Applied add-sqr-sqrt0.0
\[\leadsto 0.5 \cdot \left(\frac{\sin re}{e^{im}} + \color{blue}{\left(\sqrt{e^{im}} \cdot \sqrt{e^{im}}\right)} \cdot \sin re\right)\]
Applied associate-*l*0.0
\[\leadsto 0.5 \cdot \left(\frac{\sin re}{e^{im}} + \color{blue}{\sqrt{e^{im}} \cdot \left(\sqrt{e^{im}} \cdot \sin re\right)}\right)\]
Final simplification0.0
\[\leadsto \left(\frac{\sin re}{e^{im}} + \left(\sqrt{e^{im}} \cdot \sin re\right) \cdot \sqrt{e^{im}}\right) \cdot 0.5\]
