- Started with
\[\frac{\left(\left(\left(\left(1 + 0.1049934947 \cdot \left(x \cdot x\right)\right) + 0.0424060604 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0072644182 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0005064034 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0001789971 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471019 \cdot \left(x \cdot x\right)\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0694555761 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0140005442 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0008327945 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 0.0001789971\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]
30.9
- 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 \cdot \left((0.0005064034 * \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) + \left({\left(x \cdot x\right)}^3 \cdot 0.0072644182\right))_* + (0.0001789971 * \left({\left(x \cdot x\right)}^3 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left((0.0424060604 * \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(\left(2 \cdot 0.0001789971\right) * \left(\left({\left(x \cdot x\right)}^3 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(x \cdot x\right)\right) + \left((\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) * 0.0140005442 + \left(0.0694555761 \cdot {\left(x \cdot x\right)}^3\right))_* + (0.0008327945 * \left({\left(x \cdot x\right)}^3 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left((0.2909738639 * \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}}\]
30.9
- Applied taylor to get
\[\frac{x \cdot \left((0.0005064034 * \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left({\left(x \cdot x\right)}^3 \cdot 0.0072644182\right))_* + (0.0001789971 * \left({\left(x \cdot x\right)}^3 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left((0.0424060604 * \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(\left(2 \cdot 0.0001789971\right) * \left(\left({\left(x \cdot x\right)}^3 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) \cdot \left(x \cdot x\right)\right) + \left((\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left(x \cdot x\right)}^3\right))_* + (0.0008327945 * \left({\left(x \cdot x\right)}^3 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + \left((0.2909738639 * \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*} \leadsto \frac{x \cdot \left((0.0005064034 * \left({x}^{8}\right) + \left(0.0072644182 \cdot {\left({x}^2\right)}^3\right))_* + (0.0001789971 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.0424060604 * \left({x}^{4}\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(0.0003579942 * \left({\left({x}^2\right)}^3 \cdot {x}^{6}\right) + \left((\left({x}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left({x}^2\right)}^3\right))_* + (0.0008327945 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.2909738639 * \left({x}^{4}\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}\]
30.9
- Taylor expanded around 0 to get
\[\color{red}{\frac{x \cdot \left((0.0005064034 * \left({x}^{8}\right) + \left(0.0072644182 \cdot {\left({x}^2\right)}^3\right))_* + (0.0001789971 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.0424060604 * \left({x}^{4}\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(0.0003579942 * \left({\left({x}^2\right)}^3 \cdot {x}^{6}\right) + \left((\left({x}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left({x}^2\right)}^3\right))_* + (0.0008327945 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.2909738639 * \left({x}^{4}\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}} \leadsto \color{blue}{\frac{x \cdot \left((0.0005064034 * \left({x}^{8}\right) + \left(0.0072644182 \cdot {\left({x}^2\right)}^3\right))_* + (0.0001789971 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.0424060604 * \left({x}^{4}\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(0.0003579942 * \left({\left({x}^2\right)}^3 \cdot {x}^{6}\right) + \left((\left({x}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left({x}^2\right)}^3\right))_* + (0.0008327945 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.2909738639 * \left({x}^{4}\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}}\]
30.9
- Using strategy
rm 30.9
- Applied add-cube-cbrt to get
\[\color{red}{\frac{x \cdot \left((0.0005064034 * \left({x}^{8}\right) + \left(0.0072644182 \cdot {\left({x}^2\right)}^3\right))_* + (0.0001789971 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.0424060604 * \left({x}^{4}\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(0.0003579942 * \left({\left({x}^2\right)}^3 \cdot {x}^{6}\right) + \left((\left({x}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left({x}^2\right)}^3\right))_* + (0.0008327945 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.2909738639 * \left({x}^{4}\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}} \leadsto \color{blue}{{\left(\sqrt[3]{\frac{x \cdot \left((0.0005064034 * \left({x}^{8}\right) + \left(0.0072644182 \cdot {\left({x}^2\right)}^3\right))_* + (0.0001789971 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.0424060604 * \left({x}^{4}\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(0.0003579942 * \left({\left({x}^2\right)}^3 \cdot {x}^{6}\right) + \left((\left({x}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left({x}^2\right)}^3\right))_* + (0.0008327945 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.2909738639 * \left({x}^{4}\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}}\right)}^3}\]
30.9
- Applied taylor to get
\[{\left(\sqrt[3]{\frac{x \cdot \left((0.0005064034 * \left({x}^{8}\right) + \left(0.0072644182 \cdot {\left({x}^2\right)}^3\right))_* + (0.0001789971 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.0424060604 * \left({x}^{4}\right) + \left((\left(0.1049934947 \cdot x\right) * x + 1)_*\right))_*\right))_*\right)}{(0.0003579942 * \left({\left({x}^2\right)}^3 \cdot {x}^{6}\right) + \left((\left({x}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left({x}^2\right)}^3\right))_* + (0.0008327945 * \left({\left({x}^2\right)}^3 \cdot {x}^{4}\right) + \left((0.2909738639 * \left({x}^{4}\right) + \left((\left(0.7715471019 \cdot x\right) * x + 1)_*\right))_*\right))_*\right))_*}}\right)}^3 \leadsto \frac{(0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(0.0072644182 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0001789971 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*}{(0.0003579942 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{6}}\right) + \left((\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0008327945 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*\right))_* \cdot x}\]
0.0
- Taylor expanded around inf to get
\[\color{red}{\frac{(0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(0.0072644182 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0001789971 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*}{(0.0003579942 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{6}}\right) + \left((\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0008327945 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*\right))_* \cdot x}} \leadsto \color{blue}{\frac{(0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(0.0072644182 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0001789971 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*}{(0.0003579942 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{6}}\right) + \left((\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0008327945 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*\right))_* \cdot x}}\]
0.0
- Applied simplify to get
\[\frac{(0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(0.0072644182 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0001789971 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*}{(0.0003579942 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{6}}\right) + \left((\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(0.0694555761 \cdot {\left(\frac{1}{{x}^2}\right)}^3\right))_* + (0.0008327945 * \left(\frac{{\left(\frac{1}{{x}^2}\right)}^3}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_*\right))_* \cdot x} \leadsto \frac{\frac{(0.0001789971 * \left(\frac{\frac{1}{{x}^3} \cdot \frac{1}{{x}^3}}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_* + (0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(\frac{0.0072644182 \cdot 1}{{\left(x \cdot x\right)}^3}\right))_*}{(0.0003579942 * \left(\frac{\frac{1}{{x}^3} \cdot \frac{1}{{x}^3}}{{x}^{6}}\right) + \left((0.0008327945 * \left(\frac{\frac{1}{{x}^3} \cdot \frac{1}{{x}^3}}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_* + (\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(\frac{\frac{1 \cdot 0.0694555761}{x \cdot x}}{\left(x \cdot x\right) \cdot \left(x \cdot x\right)}\right))_*\right))_*}}{x}\]
0.0
- Applied final simplification
- Applied simplify to get
\[\color{red}{\frac{\frac{(0.0001789971 * \left(\frac{\frac{1}{{x}^3} \cdot \frac{1}{{x}^3}}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_* + (0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(\frac{0.0072644182 \cdot 1}{{\left(x \cdot x\right)}^3}\right))_*}{(0.0003579942 * \left(\frac{\frac{1}{{x}^3} \cdot \frac{1}{{x}^3}}{{x}^{6}}\right) + \left((0.0008327945 * \left(\frac{\frac{1}{{x}^3} \cdot \frac{1}{{x}^3}}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_* + (\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(\frac{\frac{1 \cdot 0.0694555761}{x \cdot x}}{\left(x \cdot x\right) \cdot \left(x \cdot x\right)}\right))_*\right))_*}}{x}} \leadsto \color{blue}{\frac{\frac{(0.0001789971 * \left(\frac{{\left(\frac{1}{{x}^3}\right)}^2}{{x}^{4}}\right) + \left((0.0424060604 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.1049934947}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_* + (0.0005064034 * \left({\left(\frac{1}{x}\right)}^{8}\right) + \left(\frac{\frac{0.0072644182}{x \cdot x}}{{\left(x \cdot x\right)}^2}\right))_*}{x}}{(0.0003579942 * \left(\frac{{\left(\frac{1}{{x}^3}\right)}^2}{{x}^{6}}\right) + \left((0.0008327945 * \left(\frac{{\left(\frac{1}{{x}^3}\right)}^2}{{x}^{4}}\right) + \left((0.2909738639 * \left({\left(\frac{1}{x}\right)}^{4}\right) + \left((\left(\frac{0.7715471019}{x}\right) * \left(\frac{1}{x}\right) + 1)_*\right))_*\right))_* + (\left({\left(\frac{1}{x}\right)}^{8}\right) * 0.0140005442 + \left(\frac{\frac{0.0694555761}{x \cdot x}}{{\left(x \cdot x\right)}^2}\right))_*\right))_*}}\]
0.0