Error

Derivation

1. Initial program 13.8

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

3. Applied add-cbrt-cube13.8

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

4. Applied simplify13.8

   \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \sqrt[3]{\color{blue}{{\left(\left(\frac{1.421413741}{1 + 0.3275911 \cdot \left|x\right|} + -0.284496736\right) + \left(\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027\right) \cdot \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)\right)}^{3}}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
5. Using strategy rm

6. Applied add-cube-cbrt13.8

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

7. Applied simplify13.0

   \[\leadsto \left(\sqrt[3]{1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \sqrt[3]{{\left(\left(\frac{1.421413741}{1 + 0.3275911 \cdot \left|x\right|} + -0.284496736\right) + \left(\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027\right) \cdot \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)\right)}^{3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}} \cdot \sqrt[3]{1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \sqrt[3]{{\left(\left(\frac{1.421413741}{1 + 0.3275911 \cdot \left|x\right|} + -0.284496736\right) + \left(\frac{1.061405429}{1 + 0.3275911 \cdot \left|x\right|} + -1.453152027\right) \cdot \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\right)\right)}^{3}}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right) \cdot \color{blue}{\sqrt[3]{1 - \left(\frac{\frac{1}{\left(\left|x\right| \cdot 0.3275911 + 1\right) \cdot \left(\left|x\right| \cdot 0.3275911 + 1\right)} \cdot \left(-1.453152027 + \frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1}\right)}{\left|x\right| \cdot 0.3275911 + 1} + \left(\frac{\frac{1.421413741}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1} + 0.254829592\right)\right) \cdot \frac{\frac{1}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}}\]
8. Using strategy rm

9. Applied add-cube-cbrt13.0

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

10. Applied simplify12.3

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

12. Applied add-cube-cbrt12.3

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

13. Applied simplify11.5

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

Runtime

Time bar (total: 5.5m)Debug logProfile

herbie shell --seed '#(1070833653 108281690 3330367898 3632331308 3494323072 43156186)' 
(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)))))))