Average Error: 0.1 → 0.1
Time: 10.7s
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 r106770 = 1.0;
        double r106771 = x;
        double r106772 = 0.253;
        double r106773 = 0.12;
        double r106774 = r106771 * r106773;
        double r106775 = r106772 + r106774;
        double r106776 = r106771 * r106775;
        double r106777 = r106770 - r106776;
        return r106777;
}
↓
double f(double x) {
        double r106778 = 1.0;
        double r106779 = x;
        double r106780 = 0.253;
        double r106781 = 0.12;
        double r106782 = r106779 * r106781;
        double r106783 = r106780 + r106782;
        double r106784 = r106779 * r106783;
        double r106785 = r106778 - r106784;
        return r106785;
}

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 2019350 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))