\((N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^2 \cdot \left(\sqrt{(N * \left(\log N\right) + 1)_*} \cdot \sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)\)
- Started with
\[\left(\left(N + 1\right) \cdot \log \left(N + 1\right) - N \cdot \log N\right) - 1\]
31.0
- Applied simplify to get
\[\color{red}{\left(\left(N + 1\right) \cdot \log \left(N + 1\right) - N \cdot \log N\right) - 1} \leadsto \color{blue}{(N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - (N * \left(\log N\right) + 1)_*}\]
30.0
- Using strategy
rm 30.0
- Applied add-sqr-sqrt to get
\[(N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - \color{red}{(N * \left(\log N\right) + 1)_*} \leadsto (N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - \color{blue}{{\left(\sqrt{(N * \left(\log N\right) + 1)_*}\right)}^2}\]
30.1
- Using strategy
rm 30.1
- Applied add-cube-cbrt to get
\[(N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\color{red}{\left(\sqrt{(N * \left(\log N\right) + 1)_*}\right)}}^2 \leadsto (N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\color{blue}{\left({\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^3\right)}}^2\]
30.1
- Using strategy
rm 30.1
- Applied cube-mult to get
\[(N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\color{red}{\left({\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^3\right)}}^2 \leadsto (N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\color{blue}{\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}} \cdot \left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}} \cdot \sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)\right)}}^2\]
30.1
- Applied square-prod to get
\[(N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - \color{red}{{\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}} \cdot \left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}} \cdot \sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)\right)}^2} \leadsto (N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - \color{blue}{{\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^2 \cdot {\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}} \cdot \sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^2}\]
30.1
- Applied simplify to get
\[(N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^2 \cdot \color{red}{{\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}} \cdot \sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^2} \leadsto (N * \left(\log_* (1 + N)\right) + \left(\log_* (1 + N)\right))_* - {\left(\sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}^2 \cdot \color{blue}{\left(\sqrt{(N * \left(\log N\right) + 1)_*} \cdot \sqrt[3]{\sqrt{(N * \left(\log N\right) + 1)_*}}\right)}\]
30.1
- Removed slow pow expressions
