if b < -1.4516784f-11

1. Started with
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a}\]
   28.2
2. Applied taylor to get
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a} \leadsto \frac{-2 \cdot \frac{c \cdot a}{b}}{2 \cdot a}\]
   7.2
3. Taylor expanded around -inf to get
   \[\frac{\color{red}{-2 \cdot \frac{c \cdot a}{b}}}{2 \cdot a} \leadsto \frac{\color{blue}{-2 \cdot \frac{c \cdot a}{b}}}{2 \cdot a}\]
   7.2
4. Applied simplify to get
   \[\color{red}{\frac{-2 \cdot \frac{c \cdot a}{b}}{2 \cdot a}} \leadsto \color{blue}{\frac{c}{b} \cdot \frac{-2}{2}}\]
   0

if -1.4516784f-11 < b < 2.163724f+14

1. Started with
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a}\]
   5.5
2. Using strategy rm
   5.5
3. Applied add-cube-cbrt to get
   \[\frac{\left(-b\right) - \color{red}{\sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}}{2 \cdot a} \leadsto \frac{\left(-b\right) - \color{blue}{{\left(\sqrt[3]{\sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}\right)}^3}}{2 \cdot a}\]
   5.9
4. Using strategy rm
   5.9
5. Applied sub-neg to get
   \[\frac{\color{red}{\left(-b\right) - {\left(\sqrt[3]{\sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}\right)}^3}}{2 \cdot a} \leadsto \frac{\color{blue}{\left(-b\right) + \left(-{\left(\sqrt[3]{\sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}\right)}^3\right)}}{2 \cdot a}\]
   5.9
6. Applied simplify to get
   \[\frac{\left(-b\right) + \color{red}{\left(-{\left(\sqrt[3]{\sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}\right)}^3\right)}}{2 \cdot a} \leadsto \frac{\left(-b\right) + \color{blue}{\left(-\sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}\right)}}{2 \cdot a}\]
   5.5

if 2.163724f+14 < b

1. Started with
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a}\]
   23.3
2. Applied taylor to get
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a} \leadsto \frac{2 \cdot \frac{c \cdot a}{b} - 2 \cdot b}{2 \cdot a}\]
   5.6
3. Taylor expanded around inf to get
   \[\frac{\color{red}{2 \cdot \frac{c \cdot a}{b} - 2 \cdot b}}{2 \cdot a} \leadsto \frac{\color{blue}{2 \cdot \frac{c \cdot a}{b} - 2 \cdot b}}{2 \cdot a}\]
   5.6
4. Applied simplify to get
   \[\color{red}{\frac{2 \cdot \frac{c \cdot a}{b} - 2 \cdot b}{2 \cdot a}} \leadsto \color{blue}{\frac{\frac{c}{b}}{1} - \frac{b}{a}}\]
   0.0
5. Applied simplify to get
   \[\color{red}{\frac{\frac{c}{b}}{1}} - \frac{b}{a} \leadsto \color{blue}{\frac{c}{b}} - \frac{b}{a}\]
   0.0