Average Error: 0.1 → 0.1
Time: 11.9s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right) \cdot x\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right) \cdot x
double f(double x) {
        double r75978 = 1.0;
        double r75979 = x;
        double r75980 = 0.253;
        double r75981 = 0.12;
        double r75982 = r75979 * r75981;
        double r75983 = r75980 + r75982;
        double r75984 = r75979 * r75983;
        double r75985 = r75978 - r75984;
        return r75985;
}
↓
double f(double x) {
        double r75986 = 1.0;
        double r75987 = 0.12;
        double r75988 = x;
        double r75989 = r75987 * r75988;
        double r75990 = 0.253;
        double r75991 = r75989 + r75990;
        double r75992 = r75991 * r75988;
        double r75993 = r75986 - r75992;
        return r75993;
}

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. Simplified0.1

    \[\leadsto \color{blue}{1 - x \cdot \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right)}\]

  3. Final simplification0.1

    \[\leadsto 1 - \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right) \cdot x\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))