Average Error: 0.1 → 0.1
Time: 15.8s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
double f(double x) {
        double r79879 = 1.0;
        double r79880 = x;
        double r79881 = 0.253;
        double r79882 = 0.12;
        double r79883 = r79880 * r79882;
        double r79884 = r79881 + r79883;
        double r79885 = r79880 * r79884;
        double r79886 = r79879 - r79885;
        return r79886;
}
↓
double f(double x) {
        double r79887 = 1.0;
        double r79888 = x;
        double r79889 = 0.253;
        double r79890 = 0.12;
        double r79891 = r79888 * r79890;
        double r79892 = r79889 + r79891;
        double r79893 = r79888 * r79892;
        double r79894 = r79887 - r79893;
        return r79894;
}

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

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

Reproduce

herbie shell --seed 2019326 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))