Average Error: 0.1 → 0.1
Time: 15.4s
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 r87933 = 1.0;
        double r87934 = x;
        double r87935 = 0.253;
        double r87936 = 0.12;
        double r87937 = r87934 * r87936;
        double r87938 = r87935 + r87937;
        double r87939 = r87934 * r87938;
        double r87940 = r87933 - r87939;
        return r87940;
}
↓
double f(double x) {
        double r87941 = 1.0;
        double r87942 = x;
        double r87943 = 0.253;
        double r87944 = 0.12;
        double r87945 = r87942 * r87944;
        double r87946 = r87943 + r87945;
        double r87947 = r87942 * r87946;
        double r87948 = r87941 - r87947;
        return r87948;
}

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