Average Error: 0.2 → 0.2
Time: 3.3s
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 r899849 = x;
        double r899850 = 16.0;
        double r899851 = 116.0;
        double r899852 = r899850 / r899851;
        double r899853 = r899849 - r899852;
        double r899854 = 3.0;
        double r899855 = r899853 * r899854;
        double r899856 = y;
        double r899857 = r899855 * r899856;
        return r899857;
}
↓
double f(double x, double y) {
        double r899858 = x;
        double r899859 = 16.0;
        double r899860 = 116.0;
        double r899861 = r899859 / r899860;
        double r899862 = r899858 - r899861;
        double r899863 = 3.0;
        double r899864 = r899862 * r899863;
        double r899865 = y;
        double r899866 = r899864 * r899865;
        return r899866;
}

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 2020035 +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))