if b < -1.0189882f+17

1. Started with
   \[\frac{\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}{2 \cdot a}\]
   25.4
2. Using strategy rm
   25.4
3. Applied add-exp-log to get
   \[\frac{\color{red}{\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}}{2 \cdot a} \leadsto \frac{\color{blue}{e^{\log \left(\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}\right)}}}{2 \cdot a}\]
   25.8
4. Applied taylor to get
   \[\frac{e^{\log \left(\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}\right)}}{2 \cdot a} \leadsto \frac{e^{\log \left(\left(-b\right) + \left(2 \cdot \frac{c \cdot a}{b} - b\right)\right)}}{2 \cdot a}\]
   9.0
5. Taylor expanded around -inf to get
   \[\frac{e^{\log \left(\left(-b\right) + \color{red}{\left(2 \cdot \frac{c \cdot a}{b} - b\right)}\right)}}{2 \cdot a} \leadsto \frac{e^{\log \left(\left(-b\right) + \color{blue}{\left(2 \cdot \frac{c \cdot a}{b} - b\right)}\right)}}{2 \cdot a}\]
   9.0
6. Applied simplify to get
   \[\frac{e^{\log \left(\left(-b\right) + \left(2 \cdot \frac{c \cdot a}{b} - b\right)\right)}}{2 \cdot a} \leadsto \frac{\frac{2 \cdot c}{\frac{b}{a}} - \left(b - \left(-b\right)\right)}{a \cdot 2}\]
   1.1

---

7. Applied final simplification

if -1.0189882f+17 < b < 3.3176054f-21

1. Started with
   \[\frac{\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}{2 \cdot a}\]
   4.9
2. Applied taylor to get
   \[\frac{\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}{2 \cdot a} \leadsto \frac{\left(-b\right) + \sqrt{{b}^2 - 4 \cdot \left(c \cdot a\right)}}{2 \cdot a}\]
   4.9
3. Taylor expanded around 0 to get
   \[\frac{\left(-b\right) + \sqrt{\color{red}{{b}^2 - 4 \cdot \left(c \cdot a\right)}}}{2 \cdot a} \leadsto \frac{\left(-b\right) + \sqrt{\color{blue}{{b}^2 - 4 \cdot \left(c \cdot a\right)}}}{2 \cdot a}\]
   4.9

if 3.3176054f-21 < b

1. Started with
   \[\frac{\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}{2 \cdot a}\]
   28.2
2. Using strategy rm
   28.2
3. Applied flip-+ to get
   \[\frac{\color{red}{\left(-b\right) + \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}}{2 \cdot a} \leadsto \frac{\color{blue}{\frac{{\left(-b\right)}^2 - {\left(\sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}\right)}^2}{\left(-b\right) - \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}}}{2 \cdot a}\]
   29.4
4. Applied simplify to get
   \[\frac{\frac{\color{red}{{\left(-b\right)}^2 - {\left(\sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}\right)}^2}}{\left(-b\right) - \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}}{2 \cdot a} \leadsto \frac{\frac{\color{blue}{\left(4 \cdot a\right) \cdot c}}{\left(-b\right) - \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}}{2 \cdot a}\]
   18.4
5. Applied taylor to get
   \[\frac{\frac{\left(4 \cdot a\right) \cdot c}{\left(-b\right) - \sqrt{{b}^2 - \left(4 \cdot a\right) \cdot c}}}{2 \cdot a} \leadsto \frac{\frac{\left(4 \cdot a\right) \cdot c}{\left(-b\right) - \left(b - 2 \cdot \frac{c \cdot a}{b}\right)}}{2 \cdot a}\]
   7.9
6. Taylor expanded around inf to get
   \[\frac{\frac{\left(4 \cdot a\right) \cdot c}{\left(-b\right) - \color{red}{\left(b - 2 \cdot \frac{c \cdot a}{b}\right)}}}{2 \cdot a} \leadsto \frac{\frac{\left(4 \cdot a\right) \cdot c}{\left(-b\right) - \color{blue}{\left(b - 2 \cdot \frac{c \cdot a}{b}\right)}}}{2 \cdot a}\]
   7.9
7. Applied simplify to get
   \[\color{red}{\frac{\frac{\left(4 \cdot a\right) \cdot c}{\left(-b\right) - \left(b - 2 \cdot \frac{c \cdot a}{b}\right)}}{2 \cdot a}} \leadsto \color{blue}{\frac{\frac{1}{2} \cdot \left(4 \cdot c\right)}{(\left(a \cdot 2\right) * \left(\frac{c}{b}\right) + \left(-b\right))_* - b}}\]
   3.3
8. Applied simplify to get
   \[\frac{\color{red}{\frac{1}{2} \cdot \left(4 \cdot c\right)}}{(\left(a \cdot 2\right) * \left(\frac{c}{b}\right) + \left(-b\right))_* - b} \leadsto \frac{\color{blue}{\frac{4}{2} \cdot c}}{(\left(a \cdot 2\right) * \left(\frac{c}{b}\right) + \left(-b\right))_* - b}\]
   3.3