Initial program 0.3
\[\left(\left(\log \left(x + y\right) + \log z\right) - t\right) + \left(a - 0.5\right) \cdot \log t\]
Simplified0.3
\[\leadsto \color{blue}{\left(\log \left(y + x\right) - t\right) + (\left(a - 0.5\right) \cdot \left(\log t\right) + \left(\log z\right))_*}\]
- Using strategy
rm Applied fma-udef0.3
\[\leadsto \left(\log \left(y + x\right) - t\right) + \color{blue}{\left(\left(a - 0.5\right) \cdot \log t + \log z\right)}\]
Applied associate-+r+0.3
\[\leadsto \color{blue}{\left(\left(\log \left(y + x\right) - t\right) + \left(a - 0.5\right) \cdot \log t\right) + \log z}\]
- Using strategy
rm Applied add-cube-cbrt0.3
\[\leadsto \left(\left(\log \color{blue}{\left(\left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) \cdot \sqrt[3]{y + x}\right)} - t\right) + \left(a - 0.5\right) \cdot \log t\right) + \log z\]
Applied log-prod0.3
\[\leadsto \left(\left(\color{blue}{\left(\log \left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) + \log \left(\sqrt[3]{y + x}\right)\right)} - t\right) + \left(a - 0.5\right) \cdot \log t\right) + \log z\]
Applied associate--l+0.3
\[\leadsto \left(\color{blue}{\left(\log \left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) + \left(\log \left(\sqrt[3]{y + x}\right) - t\right)\right)} + \left(a - 0.5\right) \cdot \log t\right) + \log z\]
Applied associate-+l+0.3
\[\leadsto \color{blue}{\left(\log \left(\sqrt[3]{y + x} \cdot \sqrt[3]{y + x}\right) + \left(\left(\log \left(\sqrt[3]{y + x}\right) - t\right) + \left(a - 0.5\right) \cdot \log t\right)\right)} + \log z\]
Final simplification0.3
\[\leadsto \log z + \left(\log \left(\sqrt[3]{x + y} \cdot \sqrt[3]{x + y}\right) + \left(\left(a - 0.5\right) \cdot \log t + \left(\log \left(\sqrt[3]{x + y}\right) - t\right)\right)\right)\]
