\(\sqrt[3]{\sqrt[3]{{\left({\left(\frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\log 10}\right)}^3\right)}^3}}\)
- Started with
\[\frac{\log \left(\sqrt{re \cdot re + im \cdot im}\right)}{\log 10}\]
30.2
- Applied simplify to get
\[\color{red}{\frac{\log \left(\sqrt{re \cdot re + im \cdot im}\right)}{\log 10}} \leadsto \color{blue}{\frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\log 10}}\]
0.6
- Using strategy
rm 0.6
- Applied add-cbrt-cube to get
\[\frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\color{red}{\log 10}} \leadsto \frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\color{blue}{\sqrt[3]{{\left(\log 10\right)}^3}}}\]
1.5
- Applied add-cbrt-cube to get
\[\frac{\color{red}{\log \left(\sqrt{im^2 + re^2}^*\right)}}{\sqrt[3]{{\left(\log 10\right)}^3}} \leadsto \frac{\color{blue}{\sqrt[3]{{\left(\log \left(\sqrt{im^2 + re^2}^*\right)\right)}^3}}}{\sqrt[3]{{\left(\log 10\right)}^3}}\]
1.3
- Applied cbrt-undiv to get
\[\color{red}{\frac{\sqrt[3]{{\left(\log \left(\sqrt{im^2 + re^2}^*\right)\right)}^3}}{\sqrt[3]{{\left(\log 10\right)}^3}}} \leadsto \color{blue}{\sqrt[3]{\frac{{\left(\log \left(\sqrt{im^2 + re^2}^*\right)\right)}^3}{{\left(\log 10\right)}^3}}}\]
0.7
- Applied simplify to get
\[\sqrt[3]{\color{red}{\frac{{\left(\log \left(\sqrt{im^2 + re^2}^*\right)\right)}^3}{{\left(\log 10\right)}^3}}} \leadsto \sqrt[3]{\color{blue}{{\left(\frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\log 10}\right)}^3}}\]
0.7
- Using strategy
rm 0.7
- Applied add-cbrt-cube to get
\[\sqrt[3]{\color{red}{{\left(\frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\log 10}\right)}^3}} \leadsto \sqrt[3]{\color{blue}{\sqrt[3]{{\left({\left(\frac{\log \left(\sqrt{im^2 + re^2}^*\right)}{\log 10}\right)}^3\right)}^3}}}\]
0.7
- Removed slow pow expressions
