Average Error: 0.1 → 0.1
Time: 5.4s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - \frac{x}{9007199254740992} \cdot \left(2278821411449471 + x \cdot 1080863910568919\right)\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - \frac{x}{9007199254740992} \cdot \left(2278821411449471 + x \cdot 1080863910568919\right)
double f(double x) {
        double r66860 = 1.0;
        double r66861 = x;
        double r66862 = 0.253;
        double r66863 = 0.12;
        double r66864 = r66861 * r66863;
        double r66865 = r66862 + r66864;
        double r66866 = r66861 * r66865;
        double r66867 = r66860 - r66866;
        return r66867;
}
↓
double f(double x) {
        double r66868 = 1.0;
        double r66869 = x;
        double r66870 = 9007199254740992.0;
        double r66871 = r66869 / r66870;
        double r66872 = 2278821411449471.0;
        double r66873 = 1080863910568919.0;
        double r66874 = r66869 * r66873;
        double r66875 = r66872 + r66874;
        double r66876 = r66871 * r66875;
        double r66877 = r66868 - r66876;
        return r66877;
}

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. Simplified0.1

    \[\leadsto \color{blue}{1 - \frac{x}{9007199254740992} \cdot \left(2278821411449471 + x \cdot 1080863910568919\right)}\]

  3. Final simplification0.1

    \[\leadsto 1 - \frac{x}{9007199254740992} \cdot \left(2278821411449471 + x \cdot 1080863910568919\right)\]

Reproduce

herbie shell --seed 2019304 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))