if x < -6.457467f0 or 12.483333f0 < x

1. Started with
   \[\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\]
   8.3
2. Applied taylor to get
   \[\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1} \leadsto 2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)\]
   0.7
3. Taylor expanded around inf to get
   \[\color{red}{2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)} \leadsto \color{blue}{2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)}\]
   0.7
4. Applied simplify to get
   \[\color{red}{2 \cdot \frac{1}{{x}^{5}} + \left(2 \cdot \frac{1}{{x}^{7}} + 2 \cdot \frac{1}{{x}^{3}}\right)} \leadsto \color{blue}{\left(\frac{2}{{x}^{7}} + \frac{2}{{x}^3}\right) + \frac{2}{{x}^{5}}}\]
   0.7

if -6.457467f0 < x < 12.483333f0

1. Started with
   \[\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\]
   0.1
2. Using strategy rm
   0.1
3. Applied frac-sub to get
   \[\color{red}{\left(\frac{1}{x + 1} - \frac{2}{x}\right)} + \frac{1}{x - 1} \leadsto \color{blue}{\frac{1 \cdot x - \left(x + 1\right) \cdot 2}{\left(x + 1\right) \cdot x}} + \frac{1}{x - 1}\]
   0.1
4. Applied simplify to get
   \[\frac{\color{red}{1 \cdot x - \left(x + 1\right) \cdot 2}}{\left(x + 1\right) \cdot x} + \frac{1}{x - 1} \leadsto \frac{\color{blue}{x - \left(x \cdot 2 + 2\right)}}{\left(x + 1\right) \cdot x} + \frac{1}{x - 1}\]
   0.1
5. Applied simplify to get
   \[\frac{x - \left(x \cdot 2 + 2\right)}{\color{red}{\left(x + 1\right) \cdot x}} + \frac{1}{x - 1} \leadsto \frac{x - \left(x \cdot 2 + 2\right)}{\color{blue}{x + {x}^2}} + \frac{1}{x - 1}\]
   0.1