Average Error: 13.8 → 13.9
Time: 41.6s
Precision: 64
\[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]
↓
\[1 - \frac{\frac{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) - \left(0.2548295919999999936678136691625695675611 + \frac{1 \cdot \left(\left(\frac{\left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251 + -1.453152027000000012790792425221297889948\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1 \cdot \left(\left(\frac{\left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251 + -1.453152027000000012790792425221297889948\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left(\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} - \frac{1}{\frac{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}{\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{1 \cdot \left(\frac{1.061405428999999900341322245367337018251 \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + -1.453152027000000012790792425221297889948\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)}}\right) - 0.2548295919999999936678136691625695675611\right) \cdot \frac{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]
1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
↓
1 - \frac{\frac{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) - \left(0.2548295919999999936678136691625695675611 + \frac{1 \cdot \left(\left(\frac{\left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251 + -1.453152027000000012790792425221297889948\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1 \cdot \left(\left(\frac{\left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251 + -1.453152027000000012790792425221297889948\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left(\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} - \frac{1}{\frac{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}{\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{1 \cdot \left(\frac{1.061405428999999900341322245367337018251 \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + -1.453152027000000012790792425221297889948\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)}}\right) - 0.2548295919999999936678136691625695675611\right) \cdot \frac{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}
double f(double x) {
        double r191972 = 1.0;
        double r191973 = 0.3275911;
        double r191974 = x;
        double r191975 = fabs(r191974);
        double r191976 = r191973 * r191975;
        double r191977 = r191972 + r191976;
        double r191978 = r191972 / r191977;
        double r191979 = 0.254829592;
        double r191980 = -0.284496736;
        double r191981 = 1.421413741;
        double r191982 = -1.453152027;
        double r191983 = 1.061405429;
        double r191984 = r191978 * r191983;
        double r191985 = r191982 + r191984;
        double r191986 = r191978 * r191985;
        double r191987 = r191981 + r191986;
        double r191988 = r191978 * r191987;
        double r191989 = r191980 + r191988;
        double r191990 = r191978 * r191989;
        double r191991 = r191979 + r191990;
        double r191992 = r191978 * r191991;
        double r191993 = r191975 * r191975;
        double r191994 = -r191993;
        double r191995 = exp(r191994);
        double r191996 = r191992 * r191995;
        double r191997 = r191972 - r191996;
        return r191997;
}
↓
double f(double x) {
        double r191998 = 1.0;
        double r191999 = -0.284496736;
        double r192000 = x;
        double r192001 = fabs(r192000);
        double r192002 = 0.3275911;
        double r192003 = r192001 * r192002;
        double r192004 = r192003 + r191998;
        double r192005 = r191998 / r192004;
        double r192006 = r191999 * r192005;
        double r192007 = r192006 * r192006;
        double r192008 = 0.254829592;
        double r192009 = 1.061405429;
        double r192010 = r192005 * r192009;
        double r192011 = -1.453152027;
        double r192012 = r192010 + r192011;
        double r192013 = r192012 * r191998;
        double r192014 = r192013 / r192004;
        double r192015 = 1.421413741;
        double r192016 = r192014 + r192015;
        double r192017 = r192016 * r192005;
        double r192018 = r191998 * r192017;
        double r192019 = r192018 / r192004;
        double r192020 = r192008 + r192019;
        double r192021 = r192020 * r192020;
        double r192022 = r192007 - r192021;
        double r192023 = r192009 * r191998;
        double r192024 = r192023 / r192004;
        double r192025 = r192024 + r192011;
        double r192026 = r191998 * r192025;
        double r192027 = r192026 / r192004;
        double r192028 = r192027 + r192015;
        double r192029 = r192005 * r192028;
        double r192030 = r192004 / r192029;
        double r192031 = r191998 / r192030;
        double r192032 = r192006 - r192031;
        double r192033 = r192032 - r192008;
        double r192034 = r192004 / r191998;
        double r192035 = r192033 * r192034;
        double r192036 = r192022 / r192035;
        double r192037 = exp(r192001);
        double r192038 = pow(r192037, r192001);
        double r192039 = r192036 / r192038;
        double r192040 = r191998 - r192039;
        return r192040;
}

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

    \[1 - \left(\frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-0.2844967359999999723108032867457950487733 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(1.421413741000000063863240029604639858007 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot \left(-1.453152027000000012790792425221297889948 + \frac{1}{1 + 0.3275911000000000239396058532292954623699 \cdot \left|x\right|} \cdot 1.061405428999999900341322245367337018251\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}\]

  2. Simplified13.8

    \[\leadsto \color{blue}{1 - \frac{\frac{\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(-0.2844967359999999723108032867457950487733 + \left(\left(\frac{1}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1.061405428999999900341322245367337018251}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) + 0.2548295919999999936678136691625695675611}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}}\]
  3. Using strategy rm

  4. Applied distribute-rgt-in13.8

    \[\leadsto 1 - \frac{\frac{\color{blue}{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + \left(\left(\left(\frac{1}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1.061405428999999900341322245367337018251}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right)} + 0.2548295919999999936678136691625695675611}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]

  5. Applied associate-+l+13.8

    \[\leadsto 1 - \frac{\frac{\color{blue}{-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + \left(\left(\left(\left(\frac{1}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1.061405428999999900341322245367337018251}} + -1.453152027000000012790792425221297889948\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 0.2548295919999999936678136691625695675611\right)}}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]

  6. Simplified13.8

    \[\leadsto 1 - \frac{\frac{-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + \color{blue}{\left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right)}}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]
  7. Using strategy rm

  8. Applied flip-+13.8

    \[\leadsto 1 - \frac{\frac{\color{blue}{\frac{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) - \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right) \cdot \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right)}{-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} - \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right)}}}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]

  9. Applied associate-/l/13.8

    \[\leadsto 1 - \frac{\color{blue}{\frac{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) - \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right) \cdot \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right)}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1} \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} - \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right)\right)}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]

  10. Simplified13.9

    \[\leadsto 1 - \frac{\frac{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}\right) - \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right) \cdot \left(\frac{1 \cdot \left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{\left(-1.453152027000000012790792425221297889948 + \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 0.2548295919999999936678136691625695675611\right)}{\color{blue}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{1} \cdot \left(\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} - \frac{1}{\frac{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699}{\frac{1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} \cdot \left(\frac{1 \cdot \left(\frac{1.061405428999999900341322245367337018251 \cdot 1}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + -1.453152027000000012790792425221297889948\right)}{1 + \left|x\right| \cdot 0.3275911000000000239396058532292954623699} + 1.421413741000000063863240029604639858007\right)}}\right) - 0.2548295919999999936678136691625695675611\right)}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]

  11. Final simplification13.9

    \[\leadsto 1 - \frac{\frac{\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) \cdot \left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) - \left(0.2548295919999999936678136691625695675611 + \frac{1 \cdot \left(\left(\frac{\left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251 + -1.453152027000000012790792425221297889948\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right) \cdot \left(0.2548295919999999936678136691625695675611 + \frac{1 \cdot \left(\left(\frac{\left(\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot 1.061405428999999900341322245367337018251 + -1.453152027000000012790792425221297889948\right) \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right) \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}\right)}{\left(\left(-0.2844967359999999723108032867457950487733 \cdot \frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} - \frac{1}{\frac{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}{\frac{1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} \cdot \left(\frac{1 \cdot \left(\frac{1.061405428999999900341322245367337018251 \cdot 1}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + -1.453152027000000012790792425221297889948\right)}{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1} + 1.421413741000000063863240029604639858007\right)}}\right) - 0.2548295919999999936678136691625695675611\right) \cdot \frac{\left|x\right| \cdot 0.3275911000000000239396058532292954623699 + 1}{1}}}{{\left(e^{\left|x\right|}\right)}^{\left(\left|x\right|\right)}}\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x)
  :name "Jmat.Real.erf"
  (- 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)))))))