Average Error: 13.8 → 13.0
Time: 23.0s
Precision: 64
\[1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
↓
\[\left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{\log \left(e^{1 - \frac{1 \cdot \frac{\frac{1}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right)}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]
1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
↓
\left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{\log \left(e^{1 - \frac{1 \cdot \frac{\frac{1}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right)}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}
double code(double x) {
	return (1.0 - (((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (0.254829592 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (-0.284496736 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (1.421413741 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (-1.453152027 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * 1.061405429))))))))) * exp(-(fabs(x) * fabs(x)))));
}
↓
double code(double x) {
	return ((cbrt(((fma((exp(-pow(fabs(x), 2.0)) * ((sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))) * (sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))))), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), 1.061405429, -1.453152027), 1.421413741), -0.284496736), 0.254829592), 1.0) * fma(((-1.0 / exp(pow(fabs(x), 2.0))) * ((sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))) * (sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))))), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), 1.061405429, -1.453152027), 1.421413741), -0.284496736), 0.254829592), 1.0)) / fma((exp(-pow(fabs(x), 2.0)) * ((sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))) * (sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))))), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), 1.061405429, -1.453152027), 1.421413741), -0.284496736), 0.254829592), 1.0))) * cbrt(log(exp((1.0 - ((1.0 * (((1.0 / sqrt((1.0 + (0.3275911 * fabs(x))))) * fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), fma((1.0 / fma(0.3275911, fabs(x), 1.0)), 1.061405429, -1.453152027), 1.421413741), -0.284496736), 0.254829592)) / sqrt((1.0 + (0.3275911 * fabs(x)))))) / exp(pow(fabs(x), 2.0)))))))) * cbrt((1.0 - ((((sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))) * sqrt((0.254829592 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (-0.284496736 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (1.421413741 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (-1.453152027 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * 1.061405429)))))))))) * ((sqrt(1.0) / sqrt((1.0 + (0.3275911 * fabs(x))))) * sqrt((0.254829592 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (-0.284496736 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (1.421413741 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * (-1.453152027 + ((1.0 / (1.0 + (0.3275911 * fabs(x)))) * 1.061405429))))))))))) * exp(-(fabs(x) * fabs(x)))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 13.8

    \[1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  2. Using strategy rm

  3. Applied add-sqr-sqrt13.8

    \[\leadsto 1 - \left(\frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \color{blue}{\left(\sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)}\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  4. Applied add-sqr-sqrt13.8

    \[\leadsto 1 - \left(\frac{1}{\color{blue}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}} \cdot \left(\sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  5. Applied add-sqr-sqrt13.8

    \[\leadsto 1 - \left(\frac{\color{blue}{\sqrt{1} \cdot \sqrt{1}}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \left(\sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  6. Applied times-frac13.8

    \[\leadsto 1 - \left(\color{blue}{\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right)} \cdot \left(\sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  7. Applied unswap-sqr13.8

    \[\leadsto 1 - \color{blue}{\left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right)} \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
  8. Using strategy rm

  9. Applied add-cube-cbrt13.8

    \[\leadsto \color{blue}{\left(\sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}} \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}}\]
  10. Using strategy rm

  11. Applied flip--13.8

    \[\leadsto \left(\sqrt[3]{\color{blue}{\frac{1 \cdot 1 - \left(\left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right) \cdot \left(\left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\right)}{1 + \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}}} \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

  12. Simplified13.0

    \[\leadsto \left(\sqrt[3]{\frac{\color{blue}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}}{1 + \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}} \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

  13. Simplified13.0

    \[\leadsto \left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\color{blue}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}}} \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]
  14. Using strategy rm

  15. Applied add-log-exp13.0

    \[\leadsto \left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{1 - \color{blue}{\log \left(e^{\left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right)}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

  16. Applied add-log-exp13.0

    \[\leadsto \left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{\color{blue}{\log \left(e^{1}\right)} - \log \left(e^{\left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\right)}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

  17. Applied diff-log13.0

    \[\leadsto \left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{\color{blue}{\log \left(\frac{e^{1}}{e^{\left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}}\right)}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

  18. Simplified13.0

    \[\leadsto \left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{\log \color{blue}{\left(e^{1 - \frac{1 \cdot \frac{\frac{1}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right)}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

  19. Final simplification13.0

    \[\leadsto \left(\sqrt[3]{\frac{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right) \cdot \mathsf{fma}\left(\frac{-1}{e^{{\left(\left|x\right|\right)}^{2}}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}{\mathsf{fma}\left(e^{-{\left(\left|x\right|\right)}^{2}} \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}\right), \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right), 1\right)}} \cdot \sqrt[3]{\log \left(e^{1 - \frac{1 \cdot \frac{\frac{1}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, \mathsf{fma}\left(\frac{1}{\mathsf{fma}\left(0.32759110000000002, \left|x\right|, 1\right)}, 1.0614054289999999, -1.45315202700000001\right), 1.42141374100000006\right), -0.284496735999999972\right), 0.25482959199999999\right)}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}}}{e^{{\left(\left|x\right|\right)}^{2}}}}\right)}\right) \cdot \sqrt[3]{1 - \left(\left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right) \cdot \left(\frac{\sqrt{1}}{\sqrt{1 + 0.32759110000000002 \cdot \left|x\right|}} \cdot \sqrt{0.25482959199999999 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-0.284496735999999972 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(1.42141374100000006 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot \left(-1.45315202700000001 + \frac{1}{1 + 0.32759110000000002 \cdot \left|x\right|} \cdot 1.0614054289999999\right)\right)\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}}\]

Reproduce

herbie shell --seed 2020056 +o rules:numerics
(FPCore (x)
  :name "Jmat.Real.erf"
  :precision binary64
  (- 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)))))))