Average Error: 0.1 → 0.1
Time: 22.3s
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 r78797 = 1.0;
        double r78798 = x;
        double r78799 = 0.253;
        double r78800 = 0.12;
        double r78801 = r78798 * r78800;
        double r78802 = r78799 + r78801;
        double r78803 = r78798 * r78802;
        double r78804 = r78797 - r78803;
        return r78804;
}
↓
double f(double x) {
        double r78805 = 1.0;
        double r78806 = x;
        double r78807 = 0.253;
        double r78808 = 0.12;
        double r78809 = r78806 * r78808;
        double r78810 = r78807 + r78809;
        double r78811 = r78806 * r78810;
        double r78812 = r78805 - r78811;
        return r78812;
}

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 2019212 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))