if b < -1.1439667f-08

1. Started with
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a}\]
   28.0
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 -1.1439667f-08 < b < 1.5139723f+14

1. Started with
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a}\]
   6.0
2. Using strategy rm
   6.0
3. Applied pow1 to get
   \[\frac{\color{red}{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}}{2 \cdot a} \leadsto \frac{\color{blue}{{\left(\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}\right)}^{1}}}{2 \cdot a}\]
   6.0
4. Applied taylor to get
   \[\frac{{\left(\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}\right)}^{1}}{2 \cdot a} \leadsto \frac{{\left(\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(c \cdot a\right)}\right)}^{1}}{2 \cdot a}\]
   6.0
5. Taylor expanded around 0 to get
   \[\frac{{\left(\left(-b\right) - \sqrt{\color{red}{{b}^2 - 4 \cdot \left(c \cdot a\right)}}\right)}^{1}}{2 \cdot a} \leadsto \frac{{\left(\left(-b\right) - \sqrt{\color{blue}{{b}^2 - 4 \cdot \left(c \cdot a\right)}}\right)}^{1}}{2 \cdot a}\]
   6.0
6. Applied simplify to get
   \[\color{red}{\frac{{\left(\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(c \cdot a\right)}\right)}^{1}}{2 \cdot a}} \leadsto \color{blue}{\frac{\left(-b\right) - \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}{a \cdot 2}}\]
   6.0

if 1.5139723f+14 < b

1. Started with
   \[\frac{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}{2 \cdot a}\]
   23.2
2. Using strategy rm
   23.2
3. Applied pow1 to get
   \[\frac{\color{red}{\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}}}{2 \cdot a} \leadsto \frac{\color{blue}{{\left(\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}\right)}^{1}}}{2 \cdot a}\]
   23.2
4. Applied taylor to get
   \[\frac{{\left(\left(-b\right) - \sqrt{{b}^2 - 4 \cdot \left(a \cdot c\right)}\right)}^{1}}{2 \cdot a} \leadsto \frac{{\left(2 \cdot \frac{c \cdot a}{b} - 2 \cdot b\right)}^{1}}{2 \cdot a}\]
   6.5
5. Taylor expanded around inf to get
   \[\frac{{\color{red}{\left(2 \cdot \frac{c \cdot a}{b} - 2 \cdot b\right)}}^{1}}{2 \cdot a} \leadsto \frac{{\color{blue}{\left(2 \cdot \frac{c \cdot a}{b} - 2 \cdot b\right)}}^{1}}{2 \cdot a}\]
   6.5
6. Applied simplify to get
   \[\color{red}{\frac{{\left(2 \cdot \frac{c \cdot a}{b} - 2 \cdot b\right)}^{1}}{2 \cdot a}} \leadsto \color{blue}{\frac{a \cdot \frac{c}{b} - b}{a}}\]
   0.7