Average Error: 13.8 → 13.0
Time: 7.1m
Precision: 64
\[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
↓
\[{\left(e^{\sqrt[3]{\log \left(\log \left(e^{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}\right)\right)} \cdot \sqrt[3]{\log \left(\log \left(e^{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}\right)\right)}}\right)}^{\left(\sqrt[3]{\log \left(\sqrt[3]{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}} \cdot \log \left(e^{\sqrt[3]{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}} \cdot \sqrt[3]{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}}\right)\right)}\right)}\]
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|}
↓
{\left(e^{\sqrt[3]{\log \left(\log \left(e^{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}\right)\right)} \cdot \sqrt[3]{\log \left(\log \left(e^{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}\right)\right)}}\right)}^{\left(\sqrt[3]{\log \left(\sqrt[3]{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}} \cdot \log \left(e^{\sqrt[3]{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}} \cdot \sqrt[3]{1 - \frac{\frac{0.254829592 + \frac{\frac{1.421413741 + \frac{\frac{1.061405429}{\left|x\right| \cdot 0.3275911 + 1} + -1.453152027}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1} + -0.284496736}{\left|x\right| \cdot 0.3275911 + 1}}{\left|x\right| \cdot 0.3275911 + 1}}{e^{\left|x\right| \cdot \left|x\right|}}}}\right)\right)}\right)}
double f(double x) {
        double r32687259 = 1.0;
        double r32687260 = 0.3275911;
        double r32687261 = x;
        double r32687262 = fabs(r32687261);
        double r32687263 = r32687260 * r32687262;
        double r32687264 = r32687259 + r32687263;
        double r32687265 = r32687259 / r32687264;
        double r32687266 = 0.254829592;
        double r32687267 = -0.284496736;
        double r32687268 = 1.421413741;
        double r32687269 = -1.453152027;
        double r32687270 = 1.061405429;
        double r32687271 = r32687265 * r32687270;
        double r32687272 = r32687269 + r32687271;
        double r32687273 = r32687265 * r32687272;
        double r32687274 = r32687268 + r32687273;
        double r32687275 = r32687265 * r32687274;
        double r32687276 = r32687267 + r32687275;
        double r32687277 = r32687265 * r32687276;
        double r32687278 = r32687266 + r32687277;
        double r32687279 = r32687265 * r32687278;
        double r32687280 = r32687262 * r32687262;
        double r32687281 = -r32687280;
        double r32687282 = exp(r32687281);
        double r32687283 = r32687279 * r32687282;
        double r32687284 = r32687259 - r32687283;
        return r32687284;
}
↓
double f(double x) {
        double r32687285 = 1.0;
        double r32687286 = 0.254829592;
        double r32687287 = 1.421413741;
        double r32687288 = 1.061405429;
        double r32687289 = x;
        double r32687290 = fabs(r32687289);
        double r32687291 = 0.3275911;
        double r32687292 = r32687290 * r32687291;
        double r32687293 = r32687292 + r32687285;
        double r32687294 = r32687288 / r32687293;
        double r32687295 = -1.453152027;
        double r32687296 = r32687294 + r32687295;
        double r32687297 = r32687296 / r32687293;
        double r32687298 = r32687287 + r32687297;
        double r32687299 = r32687298 / r32687293;
        double r32687300 = -0.284496736;
        double r32687301 = r32687299 + r32687300;
        double r32687302 = r32687301 / r32687293;
        double r32687303 = r32687286 + r32687302;
        double r32687304 = r32687303 / r32687293;
        double r32687305 = r32687290 * r32687290;
        double r32687306 = exp(r32687305);
        double r32687307 = r32687304 / r32687306;
        double r32687308 = r32687285 - r32687307;
        double r32687309 = exp(r32687308);
        double r32687310 = log(r32687309);
        double r32687311 = log(r32687310);
        double r32687312 = cbrt(r32687311);
        double r32687313 = r32687312 * r32687312;
        double r32687314 = exp(r32687313);
        double r32687315 = cbrt(r32687308);
        double r32687316 = r32687315 * r32687315;
        double r32687317 = exp(r32687316);
        double r32687318 = log(r32687317);
        double r32687319 = r32687315 * r32687318;
        double r32687320 = log(r32687319);
        double r32687321 = cbrt(r32687320);
        double r32687322 = pow(r32687314, r32687321);
        return r32687322;
}

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

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

  3. Applied add-log-exp13.8

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

  4. Applied add-log-exp13.8

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

  5. Applied diff-log14.5

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

  6. Simplified13.8

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

  8. Applied add-exp-log13.8

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

  10. Applied add-cube-cbrt13.8

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

  11. Applied exp-prod13.8

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

  13. Applied add-cube-cbrt13.8

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

  14. Applied exp-prod13.8

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

  15. Applied log-pow13.0

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

  16. Final simplification13.0

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

Reproduce

herbie shell --seed 2019119 
(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)))))))