if b < -63.05097f0

1. Started with
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
2. Using strategy rm
   3.3
3. Applied sub-neg to get
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \color{red}{\left(c \cdot z - i \cdot a\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \color{blue}{\left(c \cdot z + \left(-i \cdot a\right)\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
4. Applied distribute-lft-in to get
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{red}{b \cdot \left(c \cdot z + \left(-i \cdot a\right)\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{\left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
5. Applied associate--r+ to get
   \[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z\right) + b \cdot \left(-i \cdot a\right)\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \color{blue}{\left(\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
6. Using strategy rm
   3.3
7. Applied sub-neg to get
   \[\left(\left(x \cdot \color{red}{\left(y \cdot z - t \cdot a\right)} - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \left(\left(x \cdot \color{blue}{\left(y \cdot z + \left(-t \cdot a\right)\right)} - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
8. Applied distribute-lft-in to get
   \[\left(\left(\color{red}{x \cdot \left(y \cdot z + \left(-t \cdot a\right)\right)} - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \left(\left(\color{blue}{\left(x \cdot \left(y \cdot z\right) + x \cdot \left(-t \cdot a\right)\right)} - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
9. Applied associate--l+ to get
   \[\left(\color{red}{\left(\left(x \cdot \left(y \cdot z\right) + x \cdot \left(-t \cdot a\right)\right) - b \cdot \left(c \cdot z\right)\right)} - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \left(\color{blue}{\left(x \cdot \left(y \cdot z\right) + \left(x \cdot \left(-t \cdot a\right) - b \cdot \left(c \cdot z\right)\right)\right)} - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   3.3
10. Applied associate--l+ to get
    \[\color{red}{\left(\left(x \cdot \left(y \cdot z\right) + \left(x \cdot \left(-t \cdot a\right) - b \cdot \left(c \cdot z\right)\right)\right) - b \cdot \left(-i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \color{blue}{\left(x \cdot \left(y \cdot z\right) + \left(\left(x \cdot \left(-t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\]
    3.3
11. Applied associate-+l+ to get
    \[\color{red}{\left(x \cdot \left(y \cdot z\right) + \left(\left(x \cdot \left(-t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{x \cdot \left(y \cdot z\right) + \left(\left(\left(x \cdot \left(-t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\right)}\]
    3.3
12. Applied simplify to get
    \[x \cdot \left(y \cdot z\right) + \color{red}{\left(\left(\left(x \cdot \left(-t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) - b \cdot \left(-i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\right)} \leadsto x \cdot \left(y \cdot z\right) + \color{blue}{\left(\left(\left(-a\right) \cdot \left(t \cdot x - i \cdot b\right) + \left(t \cdot c - i \cdot y\right) \cdot j\right) - b \cdot \left(c \cdot z\right)\right)}\]
    5.9

if -63.05097f0 < b < 3.3027935f-22

1. Started with
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   7.2
2. Using strategy rm
   7.2
3. Applied add-cube-cbrt to get
   \[\color{red}{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)} \leadsto \color{blue}{{\left(\sqrt[3]{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)}\right)}^3}\]
   7.5
4. Applied taylor to get
   \[{\left(\sqrt[3]{\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)}\right)}^3 \leadsto {\left(\sqrt[3]{\left(j \cdot \left(c \cdot t\right) + \left(y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i\right)\right)\right) - \left(t \cdot \left(a \cdot x\right) + \left(j \cdot \left(y \cdot i\right) + b \cdot \left(c \cdot z\right)\right)\right)}\right)}^3\]
   7.5
5. Taylor expanded around 0 to get
   \[{\color{red}{\left(\sqrt[3]{\left(j \cdot \left(c \cdot t\right) + \left(y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i\right)\right)\right) - \left(t \cdot \left(a \cdot x\right) + \left(j \cdot \left(y \cdot i\right) + b \cdot \left(c \cdot z\right)\right)\right)}\right)}}^3 \leadsto {\color{blue}{\left(\sqrt[3]{\left(j \cdot \left(c \cdot t\right) + \left(y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i\right)\right)\right) - \left(t \cdot \left(a \cdot x\right) + \left(j \cdot \left(y \cdot i\right) + b \cdot \left(c \cdot z\right)\right)\right)}\right)}}^3\]
   7.5
6. Applied simplify to get
   \[{\left(\sqrt[3]{\left(j \cdot \left(c \cdot t\right) + \left(y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i\right)\right)\right) - \left(t \cdot \left(a \cdot x\right) + \left(j \cdot \left(y \cdot i\right) + b \cdot \left(c \cdot z\right)\right)\right)}\right)}^3 \leadsto \left(\left(j \cdot t\right) \cdot c + \left(\left(i \cdot b\right) \cdot a + z \cdot \left(x \cdot y\right)\right)\right) - \left(\left(\left(i \cdot y\right) \cdot j + \left(t \cdot x\right) \cdot a\right) + \left(b \cdot z\right) \cdot c\right)\]
   4.0

---

7. Applied final simplification
8. Applied simplify to get
   \[\color{red}{\left(\left(j \cdot t\right) \cdot c + \left(\left(i \cdot b\right) \cdot a + z \cdot \left(x \cdot y\right)\right)\right) - \left(\left(\left(i \cdot y\right) \cdot j + \left(t \cdot x\right) \cdot a\right) + \left(b \cdot z\right) \cdot c\right)} \leadsto \color{blue}{\left(\left(j \cdot \left(c \cdot t\right) + \left(a \cdot b\right) \cdot i\right) + z \cdot \left(x \cdot y - b \cdot c\right)\right) - \left(\left(a \cdot t\right) \cdot x + j \cdot \left(y \cdot i\right)\right)}\]
   4.7

if 3.3027935f-22 < b

1. Started with
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   4.4
2. Using strategy rm
   4.4
3. Applied add-cube-cbrt to get
   \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{red}{b \cdot \left(c \cdot z - i \cdot a\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{{\left(\sqrt[3]{b \cdot \left(c \cdot z - i \cdot a\right)}\right)}^3}\right) + j \cdot \left(c \cdot t - i \cdot y\right)\]
   4.5