Initial program 13.6
\[w0 \cdot \sqrt{1 - {\left(\frac{M \cdot D}{2 \cdot d}\right)}^2 \cdot \frac{h}{\ell}}\]
- Using strategy
rm
Applied div-inv 13.6
\[\leadsto w0 \cdot \sqrt{1 - {\left(\frac{M \cdot D}{2 \cdot d}\right)}^2 \cdot \color{blue}{\left(h \cdot \frac{1}{\ell}\right)}}\]
Applied associate-*r* 10.8
\[\leadsto w0 \cdot \sqrt{1 - \color{blue}{\left({\left(\frac{M \cdot D}{2 \cdot d}\right)}^2 \cdot h\right) \cdot \frac{1}{\ell}}}\]
- Using strategy
rm
Applied square-mult 10.8
\[\leadsto w0 \cdot \sqrt{1 - \left(\color{blue}{\left(\frac{M \cdot D}{2 \cdot d} \cdot \frac{M \cdot D}{2 \cdot d}\right)} \cdot h\right) \cdot \frac{1}{\ell}}\]
Applied associate-*l* 9.2
\[\leadsto w0 \cdot \sqrt{1 - \color{blue}{\left(\frac{M \cdot D}{2 \cdot d} \cdot \left(\frac{M \cdot D}{2 \cdot d} \cdot h\right)\right)} \cdot \frac{1}{\ell}}\]
- Using strategy
rm
Applied add-cube-cbrt 9.3
\[\leadsto w0 \cdot \sqrt{1 - \left(\frac{M \cdot D}{2 \cdot d} \cdot \left(\frac{M \cdot D}{2 \cdot d} \cdot h\right)\right) \cdot \color{blue}{{\left(\sqrt[3]{\frac{1}{\ell}}\right)}^3}}\]
Applied add-cube-cbrt 9.3
\[\leadsto w0 \cdot \sqrt{1 - \left(\frac{M \cdot D}{2 \cdot d} \cdot \color{blue}{{\left(\sqrt[3]{\frac{M \cdot D}{2 \cdot d} \cdot h}\right)}^3}\right) \cdot {\left(\sqrt[3]{\frac{1}{\ell}}\right)}^3}\]
Applied add-cube-cbrt 9.3
\[\leadsto w0 \cdot \sqrt{1 - \left(\frac{M \cdot D}{\color{blue}{{\left(\sqrt[3]{2 \cdot d}\right)}^3}} \cdot {\left(\sqrt[3]{\frac{M \cdot D}{2 \cdot d} \cdot h}\right)}^3\right) \cdot {\left(\sqrt[3]{\frac{1}{\ell}}\right)}^3}\]
Applied add-cube-cbrt 9.3
\[\leadsto w0 \cdot \sqrt{1 - \left(\frac{\color{blue}{{\left(\sqrt[3]{M \cdot D}\right)}^3}}{{\left(\sqrt[3]{2 \cdot d}\right)}^3} \cdot {\left(\sqrt[3]{\frac{M \cdot D}{2 \cdot d} \cdot h}\right)}^3\right) \cdot {\left(\sqrt[3]{\frac{1}{\ell}}\right)}^3}\]
Applied cube-undiv 9.3
\[\leadsto w0 \cdot \sqrt{1 - \left(\color{blue}{{\left(\frac{\sqrt[3]{M \cdot D}}{\sqrt[3]{2 \cdot d}}\right)}^3} \cdot {\left(\sqrt[3]{\frac{M \cdot D}{2 \cdot d} \cdot h}\right)}^3\right) \cdot {\left(\sqrt[3]{\frac{1}{\ell}}\right)}^3}\]
Applied cube-unprod 9.3
\[\leadsto w0 \cdot \sqrt{1 - \color{blue}{{\left(\frac{\sqrt[3]{M \cdot D}}{\sqrt[3]{2 \cdot d}} \cdot \sqrt[3]{\frac{M \cdot D}{2 \cdot d} \cdot h}\right)}^3} \cdot {\left(\sqrt[3]{\frac{1}{\ell}}\right)}^3}\]
Applied cube-unprod 8.5
\[\leadsto w0 \cdot \sqrt{1 - \color{blue}{{\left(\left(\frac{\sqrt[3]{M \cdot D}}{\sqrt[3]{2 \cdot d}} \cdot \sqrt[3]{\frac{M \cdot D}{2 \cdot d} \cdot h}\right) \cdot \sqrt[3]{\frac{1}{\ell}}\right)}^3}}\]
- Removed slow pow expressions
