if x < -0.10661750545102926 or 5.107891217442523e+18 < x

1. Started with
   \[\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\]
   18.5
2. Using strategy rm
   18.5
3. Applied add-exp-log to get
   \[\color{red}{\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}} \leadsto \color{blue}{e^{\log \left(\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\right)}}\]
   19.0
4. Applied taylor to get
   \[e^{\log \left(\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\right)} \leadsto e^{\log \left(2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)\right)}\]
   12.0
5. Taylor expanded around inf to get
   \[e^{\log \color{red}{\left(2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)\right)}} \leadsto e^{\log \color{blue}{\left(2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)\right)}}\]
   12.0
6. Applied simplify to get
   \[\color{red}{e^{\log \left(2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)\right)}} \leadsto \color{blue}{\left(\frac{2}{{x}^{5}} + \frac{2}{{x}^{7}}\right) + \frac{\frac{2}{x}}{x \cdot x}}\]
   0.1
7. Using strategy rm
   0.1
8. Applied associate-/r* to get
   \[\left(\frac{2}{{x}^{5}} + \frac{2}{{x}^{7}}\right) + \color{red}{\frac{\frac{2}{x}}{x \cdot x}} \leadsto \left(\frac{2}{{x}^{5}} + \frac{2}{{x}^{7}}\right) + \color{blue}{\frac{\frac{\frac{2}{x}}{x}}{x}}\]
   0.1

if -0.10661750545102926 < x < 5.107891217442523e+18

1. Started with
   \[\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\]
   1.5