Average Error: 0.2 → 0.2
Time: 7.7s
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 r826601 = x;
        double r826602 = 16.0;
        double r826603 = 116.0;
        double r826604 = r826602 / r826603;
        double r826605 = r826601 - r826604;
        double r826606 = 3.0;
        double r826607 = r826605 * r826606;
        double r826608 = y;
        double r826609 = r826607 * r826608;
        return r826609;
}
↓
double f(double x, double y) {
        double r826610 = x;
        double r826611 = 16.0;
        double r826612 = 116.0;
        double r826613 = r826611 / r826612;
        double r826614 = r826610 - r826613;
        double r826615 = 3.0;
        double r826616 = r826614 * r826615;
        double r826617 = y;
        double r826618 = r826616 * r826617;
        return r826618;
}

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 2020046 
(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))