\(\frac{\left(230661.510616 \cdot y + {y}^2 \cdot \left(y \cdot z + 27464.7644705\right)\right) + \left(t + {y}^{4} \cdot x\right)}{\left(y \cdot a + b\right) \cdot {y}^2 + \left(\left(i + y \cdot c\right) + {y}^{4}\right)}\)
- Started with
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
14.0
- Using strategy
rm 14.0
- Applied add-cube-cbrt to get
\[\color{red}{\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}} \leadsto \color{blue}{{\left(\sqrt[3]{\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3}\]
14.2
- Applied taylor to get
\[{\left(\sqrt[3]{\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\right)}^3 \leadsto {\left(\sqrt[3]{\frac{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}{{y}^{3} \cdot a + \left(y \cdot c + \left({y}^{4} + \left(i + {y}^2 \cdot b\right)\right)\right)}}\right)}^3\]
13.1
- Taylor expanded around 0 to get
\[{\color{red}{\left(\sqrt[3]{\frac{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}{{y}^{3} \cdot a + \left(y \cdot c + \left({y}^{4} + \left(i + {y}^2 \cdot b\right)\right)\right)}}\right)}}^3 \leadsto {\color{blue}{\left(\sqrt[3]{\frac{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}{{y}^{3} \cdot a + \left(y \cdot c + \left({y}^{4} + \left(i + {y}^2 \cdot b\right)\right)\right)}}\right)}}^3\]
13.1
- Applied simplify to get
\[{\left(\sqrt[3]{\frac{230661.510616 \cdot y + \left({y}^{3} \cdot z + \left(t + \left({y}^{4} \cdot x + 27464.7644705 \cdot {y}^2\right)\right)\right)}{{y}^{3} \cdot a + \left(y \cdot c + \left({y}^{4} + \left(i + {y}^2 \cdot b\right)\right)\right)}}\right)}^3 \leadsto \frac{\left(\left({y}^{4} \cdot x + t\right) + \left(y \cdot y\right) \cdot 27464.7644705\right) + \left(y \cdot 230661.510616 + {y}^3 \cdot z\right)}{\left(c \cdot y + {y}^3 \cdot a\right) + \left(b \cdot \left(y \cdot y\right) + \left({y}^{4} + i\right)\right)}\]
13.8
- Applied final simplification
- Applied simplify to get
\[\color{red}{\frac{\left(\left({y}^{4} \cdot x + t\right) + \left(y \cdot y\right) \cdot 27464.7644705\right) + \left(y \cdot 230661.510616 + {y}^3 \cdot z\right)}{\left(c \cdot y + {y}^3 \cdot a\right) + \left(b \cdot \left(y \cdot y\right) + \left({y}^{4} + i\right)\right)}} \leadsto \color{blue}{\frac{\left(230661.510616 \cdot y + {y}^2 \cdot \left(y \cdot z + 27464.7644705\right)\right) + \left(t + {y}^{4} \cdot x\right)}{\left(y \cdot a + b\right) \cdot {y}^2 + \left(\left(i + y \cdot c\right) + {y}^{4}\right)}}\]
13.7
- Removed slow pow expressions
