Error

Derivation

1. Initial program 13.9

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

3. Applied add-cbrt-cube13.9

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

4. Applied simplify13.9

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

6. Applied flip--11.9

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

8. Applied add-cbrt-cube11.9

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

9. Applied add-cbrt-cube11.9

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

10. Applied cbrt-unprod11.9

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

11. Applied add-cbrt-cube11.9

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

12. Applied cbrt-undiv11.9

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

13. Applied simplify11.9

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

15. Applied flip--11.1

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

Runtime

Time bar (total: 3.8m)Debug logProfile

herbie shell --seed '#(1064300848 3212030778 2049303162 3567222883 2277747821 1384278011)' 
(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)))))))