Average Error: 0.2 → 0.2
Time: 4.8s
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 r888848 = x;
        double r888849 = 16.0;
        double r888850 = 116.0;
        double r888851 = r888849 / r888850;
        double r888852 = r888848 - r888851;
        double r888853 = 3.0;
        double r888854 = r888852 * r888853;
        double r888855 = y;
        double r888856 = r888854 * r888855;
        return r888856;
}
↓
double f(double x, double y) {
        double r888857 = x;
        double r888858 = 16.0;
        double r888859 = 116.0;
        double r888860 = r888858 / r888859;
        double r888861 = r888857 - r888860;
        double r888862 = 3.0;
        double r888863 = r888861 * r888862;
        double r888864 = y;
        double r888865 = r888863 * r888864;
        return r888865;
}

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 2020036 +o rules:numerics
(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))