Initial program 0.0
\[e^{re} \cdot \sin im\]
Initial simplification0.0
\[\leadsto \sin im \cdot e^{re}\]
- Using strategy
rm Applied add-cbrt-cube0.1
\[\leadsto \sin im \cdot \color{blue}{\sqrt[3]{\left(e^{re} \cdot e^{re}\right) \cdot e^{re}}}\]
Applied add-cbrt-cube12.8
\[\leadsto \color{blue}{\sqrt[3]{\left(\sin im \cdot \sin im\right) \cdot \sin im}} \cdot \sqrt[3]{\left(e^{re} \cdot e^{re}\right) \cdot e^{re}}\]
Applied cbrt-unprod12.8
\[\leadsto \color{blue}{\sqrt[3]{\left(\left(\sin im \cdot \sin im\right) \cdot \sin im\right) \cdot \left(\left(e^{re} \cdot e^{re}\right) \cdot e^{re}\right)}}\]
Simplified12.8
\[\leadsto \sqrt[3]{\color{blue}{{\left(e^{re} \cdot \sin im\right)}^{3}}}\]
Taylor expanded around -inf 12.8
\[\leadsto \sqrt[3]{\color{blue}{{\left(\sin im\right)}^{3} \cdot {\left(e^{re}\right)}^{3}}}\]
- Using strategy
rm Applied cbrt-prod12.8
\[\leadsto \color{blue}{\sqrt[3]{{\left(\sin im\right)}^{3}} \cdot \sqrt[3]{{\left(e^{re}\right)}^{3}}}\]
Simplified0.1
\[\leadsto \color{blue}{\sin im} \cdot \sqrt[3]{{\left(e^{re}\right)}^{3}}\]
Final simplification0.1
\[\leadsto \sqrt[3]{{\left(e^{re}\right)}^{3}} \cdot \sin im\]
