\(\frac{\left(\left({y}^{4} \cdot x + \left(y \cdot y\right) \cdot 27464.7644705\right) + \left(t + {y}^3 \cdot z\right)\right) + y \cdot 230661.510616}{i + \left(\left(c + b \cdot y\right) + \left(y \cdot y\right) \cdot \left(a + y\right)\right) \cdot y}\)
- Started with
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
14.3
- Using strategy
rm 14.3
- Applied add-cube-cbrt to get
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{red}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}} \leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\color{blue}{{\left(\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\right)}^3}}\]
14.5
- Applied add-cube-cbrt to get
\[\frac{\color{red}{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}}{{\left(\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\right)}^3} \leadsto \frac{\color{blue}{{\left(\sqrt[3]{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}\right)}^3}}{{\left(\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\right)}^3}\]
14.6
- Applied cube-undiv to get
\[\color{red}{\frac{{\left(\sqrt[3]{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}\right)}^3}{{\left(\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\right)}^3}} \leadsto \color{blue}{{\left(\frac{\sqrt[3]{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}}{\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3}\]
14.6
- Applied taylor to get
\[{\left(\frac{\sqrt[3]{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}}{\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3 \leadsto {\left(\frac{\sqrt[3]{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}}{\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3\]
14.7
- Taylor expanded around 0 to get
\[{\left(\frac{\color{red}{\sqrt[3]{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}}}{\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3 \leadsto {\left(\frac{\color{blue}{\sqrt[3]{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}}}{\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3\]
14.7
- Applied simplify to get
\[{\left(\frac{\sqrt[3]{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}}{\sqrt[3]{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3 \leadsto \frac{\left(\left({y}^{4} \cdot x + \left(y \cdot y\right) \cdot 27464.7644705\right) + \left(t + {y}^3 \cdot z\right)\right) + y \cdot 230661.510616}{i + \left(\left(c + b \cdot y\right) + \left(y \cdot y\right) \cdot \left(a + y\right)\right) \cdot y}\]
14.0
- Applied final simplification
- Removed slow pow expressions
