if x < 2.0228187293991143e-07

1. Started with
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   12.6
2. Applied simplify to get
   \[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
   12.6
3. Using strategy rm
   12.6
4. Applied add-cube-cbrt to get
   \[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
   13.1
5. Using strategy rm
   13.1
6. Applied add-cube-cbrt to get
   \[{\color{red}{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\color{blue}{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}}\right)}^3\right)}}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
   13.7
7. Applied taylor to get
   \[{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
   12.2
8. Taylor expanded around inf to get
   \[{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
   12.2
9. Applied simplify to get
   \[{\left({\left(\sqrt[3]{\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*}}\right)}^3\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(x \cdot t\right) \cdot a\right))_* - \left(z \cdot c - a \cdot i\right) \cdot b\]
   11.1

---

10. Applied final simplification
11. Applied simplify to get
    \[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(z \cdot \left(x \cdot y\right) - \left(x \cdot t\right) \cdot a\right))_* - \left(z \cdot c - a \cdot i\right) \cdot b} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot \left(z \cdot c - i \cdot a\right)}\]
    12.6

if 2.0228187293991143e-07 < x

1. Started with
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   7.0
2. Applied simplify to get
   \[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_* - b \cdot \left(c \cdot z - i \cdot a\right)}\]
   7.0
3. Using strategy rm
   7.0
4. Applied add-cube-cbrt to get
   \[\color{red}{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*} - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto \color{blue}{{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}^3} - b \cdot \left(c \cdot z - i \cdot a\right)\]
   7.7
5. Applied taylor to get
   \[{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(\left(y \cdot z - t \cdot a\right) \cdot x\right))_*}\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*}\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
   15.7
6. Taylor expanded around inf to get
   \[{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \color{red}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*}\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto {\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \color{blue}{\left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right)})_*}\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right)\]
   15.7
7. Applied simplify to get
   \[{\left(\sqrt[3]{(\left(c \cdot t - i \cdot y\right) * j + \left(y \cdot \left(x \cdot z\right) - a \cdot \left(t \cdot x\right)\right))_*}\right)}^3 - b \cdot \left(c \cdot z - i \cdot a\right) \leadsto (\left(t \cdot c - y \cdot i\right) * j + \left(\left(z \cdot y\right) \cdot x - \left(x \cdot t\right) \cdot a\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)\]
   10.8

---

8. Applied final simplification
9. Applied simplify to get
   \[\color{red}{(\left(t \cdot c - y \cdot i\right) * j + \left(\left(z \cdot y\right) \cdot x - \left(x \cdot t\right) \cdot a\right))_* - b \cdot \left(z \cdot c - a \cdot i\right)} \leadsto \color{blue}{(\left(c \cdot t - i \cdot y\right) * j + \left(x \cdot \left(y \cdot z - a \cdot t\right)\right))_* - b \cdot \left(z \cdot c - i \cdot a\right)}\]
   7.0