\[\frac{\left(\left(\left(\left(1 + 0.1049934947 \cdot \left(x \cdot x\right)\right) + 0.0424060604 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0072644182 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0005064034 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0001789971 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471019 \cdot \left(x \cdot x\right)\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0694555761 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0140005442 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0008327945 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 0.0001789971\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]
Test:
Jmat.Real.dawson
Bits:
128 bits
Bits error versus x
Time: 37.5 s
Input Error: 14.1
Output Error: 0.2
Log:
Profile: 🕒
\(\begin{cases} \frac{\frac{\left(\left(\frac{\frac{0.0424060604}{x}}{{x}^3} + \frac{0.0001789971}{{x}^{10}}\right) + \frac{\frac{0.0005064034}{x}}{x \cdot \left({x}^3 \cdot {x}^3\right)}\right) + \left(\left(\frac{\frac{0.1049934947}{x}}{x} + 1\right) + \frac{0.0072644182}{{x}^3 \cdot {x}^3}\right)}{\left(\left(\left(\frac{\frac{0.2909738639}{x}}{{x}^3} + 1\right) + \frac{\frac{0.0140005442}{x \cdot x}}{{x}^3 \cdot {x}^3}\right) + \frac{0.0694555761}{{x}^3 \cdot {x}^3}\right) + \left(\left(\frac{0.7715471019}{x \cdot x} + \frac{\frac{0.0008327945}{{x}^{4}}}{{x}^3 \cdot {x}^3}\right) + \frac{\frac{\frac{1}{{x}^3}}{{x}^3}}{\frac{{x}^{6}}{0.0003579942}}\right)}}{x} & \text{when } x \le -2276.9285f0 \\ \frac{x}{\frac{\left({\left({x}^2\right)}^3 \cdot \left(0.0694555761 + {x}^2 \cdot 0.0140005442\right) + \left(\left(\left(0.7715471019 \cdot x\right) \cdot x + 1\right) + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right)\right) + \left(\left(x \cdot 2\right) \cdot \left(x \cdot 0.0001789971\right) + 0.0008327945\right) \cdot \left(\left({x}^2 \cdot {x}^2\right) \cdot {\left({x}^2\right)}^3\right)}{{\left({x}^2\right)}^3 \cdot \left({x}^2 \cdot 0.0005064034 + 0.0072644182\right) + \left(\left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 0.0001789971\right) \cdot x\right) + \left(\left(x \cdot \left(x \cdot 0.1049934947\right) + {x}^3 \cdot \left(x \cdot 0.0424060604\right)\right) + 1\right)\right)}} & \text{when } x \le 17378.184f0 \\ \frac{\frac{\left(\left(\frac{\frac{0.0424060604}{x}}{{x}^3} + \frac{0.0001789971}{{x}^{10}}\right) + \frac{\frac{0.0005064034}{x}}{x \cdot \left({x}^3 \cdot {x}^3\right)}\right) + \left(\left(\frac{\frac{0.1049934947}{x}}{x} + 1\right) + \frac{0.0072644182}{{x}^3 \cdot {x}^3}\right)}{\left(\left(\left(\frac{\frac{0.2909738639}{x}}{{x}^3} + 1\right) + \frac{\frac{0.0140005442}{x \cdot x}}{{x}^3 \cdot {x}^3}\right) + \frac{0.0694555761}{{x}^3 \cdot {x}^3}\right) + \left(\left(\frac{0.7715471019}{x \cdot x} + \frac{\frac{0.0008327945}{{x}^{4}}}{{x}^3 \cdot {x}^3}\right) + \frac{\frac{\frac{1}{{x}^3}}{{x}^3}}{\frac{{x}^{6}}{0.0003579942}}\right)}}{x} & \text{otherwise} \end{cases}\)

    if x < -2276.9285f0 or 17378.184f0 < x

    1. 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
    2. 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)}\]
      30.9
    3. Using strategy rm
      30.9
    4. Applied add-cube-cbrt to get
      \[\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 \color{red}{\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 \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 \color{blue}{{\left(\sqrt[3]{\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)}^3}\]
      30.9
    5. Applied add-cube-cbrt 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(\sqrt[3]{\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)}^3 \leadsto \color{blue}{{\left(\sqrt[3]{\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)}}\right)}^3} \cdot {\left(\sqrt[3]{\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)}^3\]
      30.9
    6. Applied cube-unprod to get
      \[\color{red}{{\left(\sqrt[3]{\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)}}\right)}^3 \cdot {\left(\sqrt[3]{\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)}^3} \leadsto \color{blue}{{\left(\sqrt[3]{\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 \sqrt[3]{\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)}^3}\]
      30.9
    7. Applied simplify to get
      \[{\color{red}{\left(\sqrt[3]{\frac{x}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left({x}^3 \cdot {x}^3\right)\right) \cdot \left(\left(2 \cdot 0.0001789971\right) \cdot \left(x \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right)\right)}} \cdot \sqrt[3]{\left(\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(\left(x \cdot x\right) \cdot 0.1049934947 + 1\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0001789971\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 + \left(0.0005064034 \cdot x\right) \cdot x\right)\right)}\right)}}^3 \leadsto {\color{blue}{\left(\sqrt[3]{\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(1 + {x}^2 \cdot 0.1049934947\right)\right) + \left(\left({x}^3 \cdot {x}^3\right) \cdot \left(0.0072644182 + 0.0005064034 \cdot {x}^2\right) + \left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot 0.0001789971\right)\right) \cdot \left({x}^2 \cdot {x}^2\right)\right)} \cdot \sqrt[3]{\frac{x}{\left(\left(\left({x}^3 \cdot {x}^3\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 2\right) \cdot \left(0.0001789971 \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.7715471019\right) \cdot x\right) + {x}^3 \cdot \left(x \cdot 0.2909738639\right)\right)\right) + \left({x}^3 \cdot {x}^3\right) \cdot \left(0.0694555761 + \left(0.0140005442 \cdot x\right) \cdot x\right)}}\right)}}^3\]
      30.9
    8. Applied taylor to get
      \[{\left(\sqrt[3]{\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(1 + {x}^2 \cdot 0.1049934947\right)\right) + \left(\left({x}^3 \cdot {x}^3\right) \cdot \left(0.0072644182 + 0.0005064034 \cdot {x}^2\right) + \left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot 0.0001789971\right)\right) \cdot \left({x}^2 \cdot {x}^2\right)\right)} \cdot \sqrt[3]{\frac{x}{\left(\left(\left({x}^3 \cdot {x}^3\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 2\right) \cdot \left(0.0001789971 \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(x \cdot 0.7715471019\right) \cdot x\right) + {x}^3 \cdot \left(x \cdot 0.2909738639\right)\right)\right) + \left({x}^3 \cdot {x}^3\right) \cdot \left(0.0694555761 + \left(0.0140005442 \cdot x\right) \cdot x\right)}}\right)}^3 \leadsto {\left(\sqrt[3]{0.1049934947 \cdot \frac{1}{{x}^2} + \left(1 + \left(0.0072644182 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + \left(0.0001789971 \cdot \frac{1}{{x}^{10}} + \left(0.0424060604 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x} + 0.0005064034 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2}\right)\right)\right)\right)} \cdot \sqrt[3]{\frac{1}{\left(0.0008327945 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{4}} + \left(0.7715471019 \cdot \frac{1}{{x}^2} + \left(0.0003579942 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{6}} + \left(0.0140005442 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2} + \left(1 + \left(0.0694555761 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + 0.2909738639 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x}\right)\right)\right)\right)\right)\right) \cdot x}}\right)}^3\]
      0.7
    9. Taylor expanded around inf to get
      \[\color{red}{{\left(\sqrt[3]{0.1049934947 \cdot \frac{1}{{x}^2} + \left(1 + \left(0.0072644182 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + \left(0.0001789971 \cdot \frac{1}{{x}^{10}} + \left(0.0424060604 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x} + 0.0005064034 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2}\right)\right)\right)\right)} \cdot \sqrt[3]{\frac{1}{\left(0.0008327945 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{4}} + \left(0.7715471019 \cdot \frac{1}{{x}^2} + \left(0.0003579942 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{6}} + \left(0.0140005442 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2} + \left(1 + \left(0.0694555761 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + 0.2909738639 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x}\right)\right)\right)\right)\right)\right) \cdot x}}\right)}^3} \leadsto \color{blue}{{\left(\sqrt[3]{0.1049934947 \cdot \frac{1}{{x}^2} + \left(1 + \left(0.0072644182 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + \left(0.0001789971 \cdot \frac{1}{{x}^{10}} + \left(0.0424060604 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x} + 0.0005064034 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2}\right)\right)\right)\right)} \cdot \sqrt[3]{\frac{1}{\left(0.0008327945 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{4}} + \left(0.7715471019 \cdot \frac{1}{{x}^2} + \left(0.0003579942 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{6}} + \left(0.0140005442 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2} + \left(1 + \left(0.0694555761 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + 0.2909738639 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x}\right)\right)\right)\right)\right)\right) \cdot x}}\right)}^3}\]
      0.7
    10. Applied simplify to get
      \[{\left(\sqrt[3]{0.1049934947 \cdot \frac{1}{{x}^2} + \left(1 + \left(0.0072644182 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + \left(0.0001789971 \cdot \frac{1}{{x}^{10}} + \left(0.0424060604 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x} + 0.0005064034 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2}\right)\right)\right)\right)} \cdot \sqrt[3]{\frac{1}{\left(0.0008327945 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{4}} + \left(0.7715471019 \cdot \frac{1}{{x}^2} + \left(0.0003579942 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^{6}} + \left(0.0140005442 \cdot \frac{{\left({\left(\frac{1}{x}\right)}^3\right)}^2}{{x}^2} + \left(1 + \left(0.0694555761 \cdot {\left({\left(\frac{1}{x}\right)}^3\right)}^2 + 0.2909738639 \cdot \frac{{\left(\frac{1}{x}\right)}^3}{x}\right)\right)\right)\right)\right)\right) \cdot x}}\right)}^3 \leadsto \left(\left(\left(\frac{\frac{0.0424060604 \cdot 1}{{x}^3}}{x} + \frac{0.0001789971}{{x}^{10}}\right) + \frac{\frac{1 \cdot 0.0005064034}{{\left({x}^3\right)}^2}}{x \cdot x}\right) + \left(\left(1 + \frac{0.1049934947}{x \cdot x}\right) + \frac{0.0072644182 \cdot 1}{{\left({x}^3\right)}^2}\right)\right) \cdot \frac{\frac{1}{x}}{\left(\left(\frac{\frac{0.7715471019}{x}}{x} + \frac{\frac{0.0008327945 \cdot 1}{{\left({x}^3\right)}^2}}{{x}^{4}}\right) + \frac{{\left(\frac{1}{x}\right)}^3 \cdot {\left(\frac{1}{x}\right)}^3}{\frac{{x}^{6}}{0.0003579942}}\right) + \left(\left(\left(\frac{\frac{0.2909738639 \cdot 1}{{x}^3}}{x} + 1\right) + \frac{1 \cdot 0.0694555761}{{\left({x}^3\right)}^2}\right) + \frac{\frac{0.0140005442 \cdot 1}{{\left({x}^3\right)}^2}}{x \cdot x}\right)}\]
      0.0

    11. Applied final simplification
    12. Applied simplify to get
      \[\color{red}{\left(\left(\left(\frac{\frac{0.0424060604 \cdot 1}{{x}^3}}{x} + \frac{0.0001789971}{{x}^{10}}\right) + \frac{\frac{1 \cdot 0.0005064034}{{\left({x}^3\right)}^2}}{x \cdot x}\right) + \left(\left(1 + \frac{0.1049934947}{x \cdot x}\right) + \frac{0.0072644182 \cdot 1}{{\left({x}^3\right)}^2}\right)\right) \cdot \frac{\frac{1}{x}}{\left(\left(\frac{\frac{0.7715471019}{x}}{x} + \frac{\frac{0.0008327945 \cdot 1}{{\left({x}^3\right)}^2}}{{x}^{4}}\right) + \frac{{\left(\frac{1}{x}\right)}^3 \cdot {\left(\frac{1}{x}\right)}^3}{\frac{{x}^{6}}{0.0003579942}}\right) + \left(\left(\left(\frac{\frac{0.2909738639 \cdot 1}{{x}^3}}{x} + 1\right) + \frac{1 \cdot 0.0694555761}{{\left({x}^3\right)}^2}\right) + \frac{\frac{0.0140005442 \cdot 1}{{\left({x}^3\right)}^2}}{x \cdot x}\right)}} \leadsto \color{blue}{\frac{\frac{\left(\left(\frac{\frac{0.0424060604}{x}}{{x}^3} + \frac{0.0001789971}{{x}^{10}}\right) + \frac{\frac{0.0005064034}{x}}{x \cdot \left({x}^3 \cdot {x}^3\right)}\right) + \left(\left(\frac{\frac{0.1049934947}{x}}{x} + 1\right) + \frac{0.0072644182}{{x}^3 \cdot {x}^3}\right)}{\left(\left(\left(\frac{\frac{0.2909738639}{x}}{{x}^3} + 1\right) + \frac{\frac{0.0140005442}{x \cdot x}}{{x}^3 \cdot {x}^3}\right) + \frac{0.0694555761}{{x}^3 \cdot {x}^3}\right) + \left(\left(\frac{0.7715471019}{x \cdot x} + \frac{\frac{0.0008327945}{{x}^{4}}}{{x}^3 \cdot {x}^3}\right) + \frac{\frac{\frac{1}{{x}^3}}{{x}^3}}{\frac{{x}^{6}}{0.0003579942}}\right)}}{x}}\]
      0.0

    if -2276.9285f0 < x < 17378.184f0

    1. Started with
      \[\frac{\left(\left(\left(\left(1 + 0.1049934947 \cdot \left(x \cdot x\right)\right) + 0.0424060604 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0072644182 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0005064034 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0001789971 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471019 \cdot \left(x \cdot x\right)\right) + 0.2909738639 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0694555761 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0140005442 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.0008327945 \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 0.0001789971\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]
      0.5
    2. 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)}\]
      0.4
    3. Applied taylor to get
      \[\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 \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(0.2909738639 \cdot x\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)\]
      0.4
    4. Taylor expanded around 0 to get
      \[\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 + \color{red}{\left(0.2909738639 \cdot x\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 \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 + \color{blue}{\left(0.2909738639 \cdot x\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)\]
      0.4
    5. Applied simplify to get
      \[\color{red}{\frac{x}{\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left({x}^3 \cdot {x}^3\right)\right) \cdot \left(\left(2 \cdot 0.0001789971\right) \cdot \left(x \cdot x\right) + 0.0008327945\right) + \left(\left(1 + \left(0.2909738639 \cdot x\right) \cdot {x}^3\right) + \left(0.7715471019 \cdot x\right) \cdot x\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0694555761 + 0.0140005442 \cdot \left(x \cdot x\right)\right)\right)} \cdot \left(\left(\left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(\left(x \cdot x\right) \cdot 0.1049934947 + 1\right)\right) + \left(\left(x \cdot x\right) \cdot 0.0001789971\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right)\right) + \left(x \cdot x\right) \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(0.0072644182 + \left(0.0005064034 \cdot x\right) \cdot x\right)\right)\right)} \leadsto \color{blue}{\frac{x}{\frac{\left(\left(\left({x}^3 \cdot {x}^3\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 2\right) \cdot \left(0.0001789971 \cdot x\right) + 0.0008327945\right) + \left(1 + \left(\left(x \cdot 0.7715471019\right) \cdot x + {x}^3 \cdot \left(x \cdot 0.2909738639\right)\right)\right)\right) + \left({x}^3 \cdot {x}^3\right) \cdot \left(0.0694555761 + \left(0.0140005442 \cdot x\right) \cdot x\right)}{\left(\left({x}^2 \cdot 0.0001789971\right) \cdot \left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) + \left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(1 + 0.1049934947 \cdot {x}^2\right)\right)\right) + \left(\left(0.0005064034 \cdot x\right) \cdot x + 0.0072644182\right) \cdot \left({x}^3 \cdot {x}^3\right)}}}\]
      0.4
    6. Applied simplify to get
      \[\frac{x}{\color{red}{\frac{\left(\left(\left({x}^3 \cdot {x}^3\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 2\right) \cdot \left(0.0001789971 \cdot x\right) + 0.0008327945\right) + \left(1 + \left(\left(x \cdot 0.7715471019\right) \cdot x + {x}^3 \cdot \left(x \cdot 0.2909738639\right)\right)\right)\right) + \left({x}^3 \cdot {x}^3\right) \cdot \left(0.0694555761 + \left(0.0140005442 \cdot x\right) \cdot x\right)}{\left(\left({x}^2 \cdot 0.0001789971\right) \cdot \left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) + \left(\left(x \cdot 0.0424060604\right) \cdot {x}^3 + \left(1 + 0.1049934947 \cdot {x}^2\right)\right)\right) + \left(\left(0.0005064034 \cdot x\right) \cdot x + 0.0072644182\right) \cdot \left({x}^3 \cdot {x}^3\right)}}} \leadsto \frac{x}{\color{blue}{\frac{\left({\left({x}^2\right)}^3 \cdot \left(0.0694555761 + {x}^2 \cdot 0.0140005442\right) + \left(\left(\left(0.7715471019 \cdot x\right) \cdot x + 1\right) + \left(x \cdot 0.2909738639\right) \cdot {x}^3\right)\right) + \left(\left(x \cdot 2\right) \cdot \left(x \cdot 0.0001789971\right) + 0.0008327945\right) \cdot \left(\left({x}^2 \cdot {x}^2\right) \cdot {\left({x}^2\right)}^3\right)}{{\left({x}^2\right)}^3 \cdot \left({x}^2 \cdot 0.0005064034 + 0.0072644182\right) + \left(\left(\left({x}^2 \cdot {x}^2\right) \cdot \left({x}^2 \cdot {x}^2\right)\right) \cdot \left(\left(x \cdot 0.0001789971\right) \cdot x\right) + \left(\left(x \cdot \left(x \cdot 0.1049934947\right) + {x}^3 \cdot \left(x \cdot 0.0424060604\right)\right) + 1\right)\right)}}}\]
      0.4

  1. Removed slow pow expressions

Original test:


(lambda ((x default))
  #:name "Jmat.Real.dawson"
  (* (/ (+ (+ (+ (+ (+ 1 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x))