Initial program 0.2
\[\left(\left(\log \left(x + y\right) + \log z\right) - t\right) + \left(a - 0.5\right) \cdot \log t\]
Initial simplification0.2
\[\leadsto \log \left(y + x\right) + \left((\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_* - t\right)\]
- Using strategy
rm Applied add-cube-cbrt0.2
\[\leadsto \log \color{blue}{\left(\left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) \cdot \sqrt[3]{y + x}\right)} + \left((\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_* - t\right)\]
Applied log-prod0.3
\[\leadsto \color{blue}{\left(\log \left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) + \log \left(\sqrt[3]{y + x}\right)\right)} + \left((\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_* - t\right)\]
Applied associate-+l+0.3
\[\leadsto \color{blue}{\log \left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) + \left(\log \left(\sqrt[3]{y + x}\right) + \left((\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_* - t\right)\right)}\]
- Using strategy
rm Applied pow1/30.3
\[\leadsto \log \left(\sqrt[3]{y + x} \cdot \color{blue}{{\left(y + x\right)}^{\frac{1}{3}}}\right) + \left(\log \left(\sqrt[3]{y + x}\right) + \left((\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_* - t\right)\right)\]
Final simplification0.3
\[\leadsto \left(\left((\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_* - t\right) + \log \left(\sqrt[3]{x + y}\right)\right) + \log \left(\sqrt[3]{x + y} \cdot {\left(x + y\right)}^{\frac{1}{3}}\right)\]
