if x < -2.252093f0 or 0.47897726f0 < x

1. Started with
   \[\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\]
   8.0
2. Using strategy rm
   8.0
3. Applied frac-sub to get
   \[\color{red}{\left(\frac{1}{x + 1} - \frac{2}{x}\right)} + \frac{1}{x - 1} \leadsto \color{blue}{\frac{1 \cdot x - \left(x + 1\right) \cdot 2}{\left(x + 1\right) \cdot x}} + \frac{1}{x - 1}\]
   22.8
4. Applied frac-add to get
   \[\color{red}{\frac{1 \cdot x - \left(x + 1\right) \cdot 2}{\left(x + 1\right) \cdot x} + \frac{1}{x - 1}} \leadsto \color{blue}{\frac{\left(1 \cdot x - \left(x + 1\right) \cdot 2\right) \cdot \left(x - 1\right) + \left(\left(x + 1\right) \cdot x\right) \cdot 1}{\left(\left(x + 1\right) \cdot x\right) \cdot \left(x - 1\right)}}\]
   22.6
5. Applied simplify to get
   \[\frac{\color{red}{\left(1 \cdot x - \left(x + 1\right) \cdot 2\right) \cdot \left(x - 1\right) + \left(\left(x + 1\right) \cdot x\right) \cdot 1}}{\left(\left(x + 1\right) \cdot x\right) \cdot \left(x - 1\right)} \leadsto \frac{\color{blue}{(\left(x - 1\right) * \left(x - (2 * x + 2)_*\right) + \left(x \cdot x + x\right))_*}}{\left(\left(x + 1\right) \cdot x\right) \cdot \left(x - 1\right)}\]
   23.5
6. Applied simplify to get
   \[\frac{(\left(x - 1\right) * \left(x - (2 * x + 2)_*\right) + \left(x \cdot x + x\right))_*}{\color{red}{\left(\left(x + 1\right) \cdot x\right) \cdot \left(x - 1\right)}} \leadsto \frac{(\left(x - 1\right) * \left(x - (2 * x + 2)_*\right) + \left(x \cdot x + x\right))_*}{\color{blue}{\left(x - 1\right) \cdot (x * x + x)_*}}\]
   27.9
7. Applied taylor to get
   \[\frac{(\left(x - 1\right) * \left(x - (2 * x + 2)_*\right) + \left(x \cdot x + x\right))_*}{\left(x - 1\right) \cdot (x * x + x)_*} \leadsto \frac{(\left(-\left(1 + \frac{1}{x}\right)\right) * \left(-\left(\frac{1}{x} + (2 * \left(\frac{-1}{x}\right) + 2)_*\right)\right) + \left(\frac{1}{{x}^2} - \frac{1}{x}\right))_*}{\left(x - 1\right) \cdot (x * x + x)_*}\]
   0.1
8. Taylor expanded around -inf to get
   \[\frac{\color{red}{(\left(-\left(1 + \frac{1}{x}\right)\right) * \left(-\left(\frac{1}{x} + (2 * \left(\frac{-1}{x}\right) + 2)_*\right)\right) + \left(\frac{1}{{x}^2} - \frac{1}{x}\right))_*}}{\left(x - 1\right) \cdot (x * x + x)_*} \leadsto \frac{\color{blue}{(\left(-\left(1 + \frac{1}{x}\right)\right) * \left(-\left(\frac{1}{x} + (2 * \left(\frac{-1}{x}\right) + 2)_*\right)\right) + \left(\frac{1}{{x}^2} - \frac{1}{x}\right))_*}}{\left(x - 1\right) \cdot (x * x + x)_*}\]
   0.1
9. Applied simplify to get
   \[\frac{(\left(-\left(1 + \frac{1}{x}\right)\right) * \left(-\left(\frac{1}{x} + (2 * \left(\frac{-1}{x}\right) + 2)_*\right)\right) + \left(\frac{1}{{x}^2} - \frac{1}{x}\right))_*}{\left(x - 1\right) \cdot (x * x + x)_*} \leadsto \frac{(\left(-\left(1 + \frac{1}{x}\right)\right) * \left(-\left(\frac{1}{x} + (2 * \left(\frac{-1}{x}\right) + 2)_*\right)\right) + \left(\frac{\frac{1}{x}}{x} - \frac{1}{x}\right))_*}{\left(x - 1\right) \cdot (x * x + x)_*}\]
   0.1

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10. Applied final simplification

if -2.252093f0 < x < 0.47897726f0

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
   \[\frac{\color{red}{1 \cdot x - \left(x + 1\right) \cdot 2}}{\left(x + 1\right) \cdot x} + \frac{1}{x - 1} \leadsto \frac{\color{blue}{x - (2 * x + 2)_*}}{\left(x + 1\right) \cdot x} + \frac{1}{x - 1}\]
   0.0
5. Applied simplify to get
   \[\frac{x - (2 * x + 2)_*}{\color{red}{\left(x + 1\right) \cdot x}} + \frac{1}{x - 1} \leadsto \frac{x - (2 * x + 2)_*}{\color{blue}{(x * x + x)_*}} + \frac{1}{x - 1}\]
   0.1