Average Error: 0.1 → 0.1
Time: 14.6s
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 r93843 = 1.0;
        double r93844 = x;
        double r93845 = 0.253;
        double r93846 = 0.12;
        double r93847 = r93844 * r93846;
        double r93848 = r93845 + r93847;
        double r93849 = r93844 * r93848;
        double r93850 = r93843 - r93849;
        return r93850;
}
↓
double f(double x) {
        double r93851 = 1.0;
        double r93852 = x;
        double r93853 = 9007199254740992.0;
        double r93854 = r93852 / r93853;
        double r93855 = 2278821411449471.0;
        double r93856 = 1080863910568919.0;
        double r93857 = r93852 * r93856;
        double r93858 = r93855 + r93857;
        double r93859 = r93854 * r93858;
        double r93860 = r93851 - r93859;
        return r93860;
}

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

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

Reproduce

herbie shell --seed 2019303 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))