if b < 7.845028771220709e+223

1. Started with
   \[\sqrt{\frac{-2.839573235346269 \cdot 10^{-37}}{\left(a \cdot b\right) \cdot \left|a\right|}}\]
   25.4
2. Using strategy rm
   25.4
3. Applied associate-/r* to get
   \[\sqrt{\color{red}{\frac{-2.839573235346269 \cdot 10^{-37}}{\left(a \cdot b\right) \cdot \left|a\right|}}} \leadsto \sqrt{\color{blue}{\frac{\frac{-2.839573235346269 \cdot 10^{-37}}{a \cdot b}}{\left|a\right|}}}\]
   23.9
4. Using strategy rm
   23.9
5. Applied sqrt-div to get
   \[\color{red}{\sqrt{\frac{\frac{-2.839573235346269 \cdot 10^{-37}}{a \cdot b}}{\left|a\right|}}} \leadsto \color{blue}{\frac{\sqrt{\frac{-2.839573235346269 \cdot 10^{-37}}{a \cdot b}}}{\sqrt{\left|a\right|}}}\]
   8.9
6. Applied taylor to get
   \[\frac{\sqrt{\frac{-2.839573235346269 \cdot 10^{-37}}{a \cdot b}}}{\sqrt{\left|a\right|}} \leadsto \frac{\sqrt{\frac{-2.839573235346269 \cdot 10^{-37}}{b \cdot a}}}{\sqrt{\left|a\right|}}\]
   8.9
7. Taylor expanded around 0 to get
   \[\frac{\sqrt{\color{red}{\frac{-2.839573235346269 \cdot 10^{-37}}{b \cdot a}}}}{\sqrt{\left|a\right|}} \leadsto \frac{\sqrt{\color{blue}{\frac{-2.839573235346269 \cdot 10^{-37}}{b \cdot a}}}}{\sqrt{\left|a\right|}}\]
   8.9
8. Applied simplify to get
   \[\frac{\sqrt{\frac{-2.839573235346269 \cdot 10^{-37}}{b \cdot a}}}{\sqrt{\left|a\right|}} \leadsto \frac{\sqrt{\frac{\frac{-2.839573235346269 \cdot 10^{-37}}{b}}{a}}}{\sqrt{\left|a\right|}}\]
   8.3

---

9. Applied final simplification

if 7.845028771220709e+223 < b

1. Started with
   \[\sqrt{\frac{-2.839573235346269 \cdot 10^{-37}}{\left(a \cdot b\right) \cdot \left|a\right|}}\]
   14.7
2. Using strategy rm
   14.7
3. Applied clear-num to get
   \[\sqrt{\color{red}{\frac{-2.839573235346269 \cdot 10^{-37}}{\left(a \cdot b\right) \cdot \left|a\right|}}} \leadsto \sqrt{\color{blue}{\frac{1}{\frac{\left(a \cdot b\right) \cdot \left|a\right|}{-2.839573235346269 \cdot 10^{-37}}}}}\]
   15.2