Average Error: 0.2 → 0.2
Time: 6.5s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
double f(double x, double y) {
        double r967849 = x;
        double r967850 = 16.0;
        double r967851 = 116.0;
        double r967852 = r967850 / r967851;
        double r967853 = r967849 - r967852;
        double r967854 = 3.0;
        double r967855 = r967853 * r967854;
        double r967856 = y;
        double r967857 = r967855 * r967856;
        return r967857;
}
↓
double f(double x, double y) {
        double r967858 = x;
        double r967859 = 16.0;
        double r967860 = 116.0;
        double r967861 = r967859 / r967860;
        double r967862 = r967858 - r967861;
        double r967863 = 3.0;
        double r967864 = r967862 * r967863;
        double r967865 = y;
        double r967866 = r967864 * r967865;
        return r967866;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.2
\[y \cdot \left(x \cdot 3 - 0.413793103448275856\right)\]

Derivation

  1. Initial program 0.2

    \[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.41379310344827586))

  (* (* (- x (/ 16 116)) 3) y))