Average Error: 14.1 → 13.3
Time: 2.2m
Precision: 64
Internal Precision: 384
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
\[\frac{1 - \left(\frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\frac{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}} \cdot \frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\frac{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) \cdot \frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}} \cdot \left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]

Error

Bits error versus x

Derivation

  1. Initial program 14.1

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  2. Using strategy rm
  3. Applied flip-+14.1

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \color{blue}{\frac{-0.284496736 \cdot -0.284496736 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right) \cdot \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)}{-0.284496736 - \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  4. Applied simplify14.1

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{\color{blue}{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}}{-0.284496736 - \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  5. Applied simplify14.1

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\color{blue}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  6. Using strategy rm
  7. Applied flip3--14.1

    \[\leadsto \color{blue}{\frac{{1}^{3} - {\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}^{3}}{1 \cdot 1 + \left(\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) \cdot \left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) + 1 \cdot \left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)\right)}}\]
  8. Applied simplify14.1

    \[\leadsto \frac{\color{blue}{1 - {\left(\frac{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}}{1 \cdot 1 + \left(\left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) \cdot \left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) + 1 \cdot \left(\left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right) + \left(\frac{1.421413741}{(0.3275911 \cdot \left(\left|x\right|\right) + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)\right)}\]
  9. Applied simplify14.1

    \[\leadsto \frac{1 - {\left(\frac{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right)}^{3}}{\color{blue}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}}\]
  10. Using strategy rm
  11. Applied add-cube-cbrt14.1

    \[\leadsto \frac{1 - {\left(\frac{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\color{blue}{\left(\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}} \cdot \sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}\right) \cdot \sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}}}\right)}^{3}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]
  12. Applied add-cube-cbrt15.3

    \[\leadsto \frac{1 - {\left(\frac{\color{blue}{\left(\sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*} \cdot \sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}\right) \cdot \sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}}{\left(\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}} \cdot \sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}\right) \cdot \sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}}\right)}^{3}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]
  13. Applied times-frac15.3

    \[\leadsto \frac{1 - {\color{blue}{\left(\frac{\sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*} \cdot \sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}{\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}} \cdot \sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}} \cdot \frac{\sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}{\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}}\right)}}^{3}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]
  14. Applied unpow-prod-down15.3

    \[\leadsto \frac{1 - \color{blue}{{\left(\frac{\sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*} \cdot \sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}{\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}} \cdot \sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}}\right)}^{3} \cdot {\left(\frac{\sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}{\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}}\right)}^{3}}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]
  15. Applied simplify14.7

    \[\leadsto \frac{1 - \color{blue}{\left(\frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\frac{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}} \cdot \frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\frac{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right)} \cdot {\left(\frac{\sqrt[3]{(\left(\frac{-0.284496736 \cdot -0.284496736 - (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* \cdot (\left(\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{\frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*} + -1.453152027}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) \cdot \left(\frac{\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}{\sqrt[3]{e^{\left|x\right| \cdot \left|x\right|}}}\right)}^{3}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]
  16. Applied simplify13.3

    \[\leadsto \frac{1 - \left(\frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\frac{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}} \cdot \frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\frac{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) \cdot \color{blue}{\frac{(\left(\frac{(\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_* + -0.284496736}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}} \cdot \left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}}}{(\left((\left((\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left({\left(e^{\left|x\right|}\right)}^{\left(-\left|x\right|\right)}\right) + 1)_*\right) \cdot \left(\frac{(\left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{\left(-0.284496736 - (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right) \cdot \left(-0.284496736 + (\left(-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) \cdot \left(\frac{1}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) + \left(\frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*\right)}{\left(-0.284496736 - \frac{1.421413741}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right) - \frac{-1.453152027 + \frac{1.061405429}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_* \cdot (\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}}\right) + \left(\frac{0.254829592}{(\left(\left|x\right|\right) \cdot 0.3275911 + 1)_*}\right))_*}{e^{\left|x\right| \cdot \left|x\right|}}\right) + 1)_*}\]

Runtime

Time bar (total: 2.2m)Debug logProfile

herbie shell --seed '#(1070355188 2193211668 3977393919 3454156579 3755371326 1656365382)' +o rules:numerics
(FPCore (x)
  :name "Jmat.Real.erf"
  (- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))