Average Error: 0.1 → 0.1
Time: 20.7s
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 r5355849 = 1.0;
        double r5355850 = x;
        double r5355851 = 0.253;
        double r5355852 = 0.12;
        double r5355853 = r5355850 * r5355852;
        double r5355854 = r5355851 + r5355853;
        double r5355855 = r5355850 * r5355854;
        double r5355856 = r5355849 - r5355855;
        return r5355856;
}
↓
double f(double x) {
        double r5355857 = 1.0;
        double r5355858 = 0.253;
        double r5355859 = 0.12;
        double r5355860 = x;
        double r5355861 = r5355859 * r5355860;
        double r5355862 = r5355858 + r5355861;
        double r5355863 = r5355862 * r5355860;
        double r5355864 = r5355857 - r5355863;
        return r5355864;
}

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 2019171 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))