Average Error: 0.1 → 0.1
Time: 10.4s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x
double f(double x) {
        double r88886 = 1.0;
        double r88887 = x;
        double r88888 = 0.253;
        double r88889 = 0.12;
        double r88890 = r88887 * r88889;
        double r88891 = r88888 + r88890;
        double r88892 = r88887 * r88891;
        double r88893 = r88886 - r88892;
        return r88893;
}
↓
double f(double x) {
        double r88894 = 1.0;
        double r88895 = 0.253;
        double r88896 = 0.12;
        double r88897 = x;
        double r88898 = r88896 * r88897;
        double r88899 = r88895 + r88898;
        double r88900 = r88899 * r88897;
        double r88901 = r88894 - r88900;
        return r88901;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]

  2. Final simplification0.1

    \[\leadsto 1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))