\(\frac{\left(\left(\left(x \cdot x\right) \cdot 0.1049934947 + \left(1 + \left(0.0424060604 \cdot x\right) \cdot {x}^3\right)\right) + \left(\left(\left(\left(x \cdot x\right) \cdot 0.0005064034\right) \cdot \left({x}^3 \cdot {x}^3\right) + {x}^{10} \cdot 0.0001789971\right) + 0.0072644182 \cdot \left({x}^3 \cdot {x}^3\right)\right)\right) \cdot x}{\left(\left(0.0003579942 \cdot {x}^{6}\right) \cdot \left({x}^3 \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right) + \left(\left(\left(\left(0.0008327945 \cdot {x}^{4}\right) \cdot \left({x}^3 \cdot {x}^3\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left(1 + \left({x}^3 \cdot {x}^3\right) \cdot 0.0694555761\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0140005442\right) \cdot \left({x}^3 \cdot {x}^3\right)\right)}\)
- Started with
\[\frac{\left(\left(\left(\left(1 + 0.1049934947 \cdot \left(x \cdot x\right)\right) + 0.0424060604 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0072644182 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0005064034 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0001789971 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471019 \cdot \left(x \cdot x\right)\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0694555761 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0140005442 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0008327945 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 0.0001789971\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]
14.0
- Applied simplify to get
\[\color{red}{\frac{\left(\left(\left(\left(1 + 0.1049934947 \cdot \left(x \cdot x\right)\right) + 0.0424060604 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0072644182 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0005064034 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0001789971 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471019 \cdot \left(x \cdot x\right)\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0694555761 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0140005442 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0008327945 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 0.0001789971\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x} \leadsto \color{blue}{\frac{x}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left({x}^3 \cdot {x}^3\right)\right) \cdot \left(\left(2 \cdot 0.0001789971\right) \cdot \left(x \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right)\right)} \cdot \left(\left(\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(\left(x \cdot x\right) \cdot 0.1049934947 + 1\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0001789971\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 + \left(0.0005064034 \cdot x\right) \cdot x\right)\right)\right)}\]
13.9
- Using strategy
rm 13.9
- Applied add-cbrt-cube to get
\[\color{red}{\frac{x}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left({x}^3 \cdot {x}^3\right)\right) \cdot \left(\left(2 \cdot 0.0001789971\right) \cdot \left(x \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right)\right)} \cdot \left(\left(\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(\left(x \cdot x\right) \cdot 0.1049934947 + 1\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0001789971\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 + \left(0.0005064034 \cdot x\right) \cdot x\right)\right)\right)} \leadsto \color{blue}{\sqrt[3]{{\left(\frac{x}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left({x}^3 \cdot {x}^3\right)\right) \cdot \left(\left(2 \cdot 0.0001789971\right) \cdot \left(x \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right)\right)} \cdot \left(\left(\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(\left(x \cdot x\right) \cdot 0.1049934947 + 1\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0001789971\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 + \left(0.0005064034 \cdot x\right) \cdot x\right)\right)\right)\right)}^3}}\]
22.7
- Applied simplify to get
\[\sqrt[3]{\color{red}{{\left(\frac{x}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left({x}^3 \cdot {x}^3\right)\right) \cdot \left(\left(2 \cdot 0.0001789971\right) \cdot \left(x \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right)\right)} \cdot \left(\left(\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(\left(x \cdot x\right) \cdot 0.1049934947 + 1\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0001789971\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 + \left(0.0005064034 \cdot x\right) \cdot x\right)\right)\right)\right)}^3}} \leadsto \sqrt[3]{\color{blue}{{\left(\frac{x \cdot \left(\left(\left({x}^2 \cdot 0.0001789971\right) \cdot \left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) + \left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(1 + 0.1049934947 \cdot {x}^2\right)\right)\right) + \left(\left(0.0005064034 \cdot x\right) \cdot x + 0.0072644182\right) \cdot \left({x}^3 \cdot {x}^3\right)\right)}{\left(\left({x}^3 \cdot {x}^3\right) \cdot \left(0.0694555761 + x \cdot \left(0.0140005442 \cdot x\right)\right) + \left(\left({x}^3 \cdot {x}^3\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 2\right) \cdot \left(0.0001789971 \cdot x\right) + 0.0008327945\right)\right) + \left(1 + \left(\left(x \cdot 0.7715471019\right) \cdot x + {x}^3 \cdot \left(x \cdot 0.2909738639\right)\right)\right)}\right)}^3}}\]
22.7
- Applied taylor to get
\[\sqrt[3]{{\left(\frac{x \cdot \left(\left(\left({x}^2 \cdot 0.0001789971\right) \cdot \left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) + \left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(1 + 0.1049934947 \cdot {x}^2\right)\right)\right) + \left(\left(0.0005064034 \cdot x\right) \cdot x + 0.0072644182\right) \cdot \left({x}^3 \cdot {x}^3\right)\right)}{\left(\left({x}^3 \cdot {x}^3\right) \cdot \left(0.0694555761 + x \cdot \left(0.0140005442 \cdot x\right)\right) + \left(\left({x}^3 \cdot {x}^3\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 2\right) \cdot \left(0.0001789971 \cdot x\right) + 0.0008327945\right)\right) + \left(1 + \left(\left(x \cdot 0.7715471019\right) \cdot x + {x}^3 \cdot \left(x \cdot 0.2909738639\right)\right)\right)}\right)}^3} \leadsto \frac{\left(0.1049934947 \cdot {x}^2 + \left(0.0424060604 \cdot \left({x}^3 \cdot x\right) + \left(1 + \left(0.0001789971 \cdot {x}^{10} + \left(0.0072644182 \cdot {\left({x}^3\right)}^2 + 0.0005064034 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right) \cdot x}{0.7715471019 \cdot {x}^2 + \left(0.0003579942 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{6}\right) + \left(0.2909738639 \cdot \left({x}^3 \cdot x\right) + \left(0.0008327945 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{4}\right) + \left(1 + \left(0.0694555761 \cdot {\left({x}^3\right)}^2 + 0.0140005442 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right)}\]
13.7
- Taylor expanded around 0 to get
\[\color{red}{\frac{\left(0.1049934947 \cdot {x}^2 + \left(0.0424060604 \cdot \left({x}^3 \cdot x\right) + \left(1 + \left(0.0001789971 \cdot {x}^{10} + \left(0.0072644182 \cdot {\left({x}^3\right)}^2 + 0.0005064034 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right) \cdot x}{0.7715471019 \cdot {x}^2 + \left(0.0003579942 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{6}\right) + \left(0.2909738639 \cdot \left({x}^3 \cdot x\right) + \left(0.0008327945 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{4}\right) + \left(1 + \left(0.0694555761 \cdot {\left({x}^3\right)}^2 + 0.0140005442 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right)}} \leadsto \color{blue}{\frac{\left(0.1049934947 \cdot {x}^2 + \left(0.0424060604 \cdot \left({x}^3 \cdot x\right) + \left(1 + \left(0.0001789971 \cdot {x}^{10} + \left(0.0072644182 \cdot {\left({x}^3\right)}^2 + 0.0005064034 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right) \cdot x}{0.7715471019 \cdot {x}^2 + \left(0.0003579942 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{6}\right) + \left(0.2909738639 \cdot \left({x}^3 \cdot x\right) + \left(0.0008327945 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{4}\right) + \left(1 + \left(0.0694555761 \cdot {\left({x}^3\right)}^2 + 0.0140005442 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right)}}\]
13.7
- Applied simplify to get
\[\frac{\left(0.1049934947 \cdot {x}^2 + \left(0.0424060604 \cdot \left({x}^3 \cdot x\right) + \left(1 + \left(0.0001789971 \cdot {x}^{10} + \left(0.0072644182 \cdot {\left({x}^3\right)}^2 + 0.0005064034 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right) \cdot x}{0.7715471019 \cdot {x}^2 + \left(0.0003579942 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{6}\right) + \left(0.2909738639 \cdot \left({x}^3 \cdot x\right) + \left(0.0008327945 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^{4}\right) + \left(1 + \left(0.0694555761 \cdot {\left({x}^3\right)}^2 + 0.0140005442 \cdot \left({\left({x}^3\right)}^2 \cdot {x}^2\right)\right)\right)\right)\right)\right)} \leadsto \frac{\left(\left(\left(x \cdot x\right) \cdot 0.1049934947 + \left(1 + \left(0.0424060604 \cdot x\right) \cdot {x}^3\right)\right) + \left(\left(\left(\left(x \cdot x\right) \cdot 0.0005064034\right) \cdot \left({x}^3 \cdot {x}^3\right) + {x}^{10} \cdot 0.0001789971\right) + 0.0072644182 \cdot \left({x}^3 \cdot {x}^3\right)\right)\right) \cdot x}{\left(\left(0.0003579942 \cdot {x}^{6}\right) \cdot \left({x}^3 \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right) + \left(\left(\left(\left(0.0008327945 \cdot {x}^{4}\right) \cdot \left({x}^3 \cdot {x}^3\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left(1 + \left({x}^3 \cdot {x}^3\right) \cdot 0.0694555761\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0140005442\right) \cdot \left({x}^3 \cdot {x}^3\right)\right)}\]
13.7
- Applied final simplification