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 r902672 = x;
        double r902673 = 16.0;
        double r902674 = 116.0;
        double r902675 = r902673 / r902674;
        double r902676 = r902672 - r902675;
        double r902677 = 3.0;
        double r902678 = r902676 * r902677;
        double r902679 = y;
        double r902680 = r902678 * r902679;
        return r902680;
}
↓
double f(double x, double y) {
        double r902681 = x;
        double r902682 = 16.0;
        double r902683 = 116.0;
        double r902684 = r902682 / r902683;
        double r902685 = r902681 - r902684;
        double r902686 = 3.0;
        double r902687 = r902685 * r902686;
        double r902688 = y;
        double r902689 = r902687 * r902688;
        return r902689;
}

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 2020060 +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))