Average Error: 0.2 → 0.2
Time: 3.4s
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 r931582 = x;
        double r931583 = 16.0;
        double r931584 = 116.0;
        double r931585 = r931583 / r931584;
        double r931586 = r931582 - r931585;
        double r931587 = 3.0;
        double r931588 = r931586 * r931587;
        double r931589 = y;
        double r931590 = r931588 * r931589;
        return r931590;
}
↓
double f(double x, double y) {
        double r931591 = x;
        double r931592 = 16.0;
        double r931593 = 116.0;
        double r931594 = r931592 / r931593;
        double r931595 = r931591 - r931594;
        double r931596 = 3.0;
        double r931597 = r931595 * r931596;
        double r931598 = y;
        double r931599 = r931597 * r931598;
        return r931599;
}

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 2020027 
(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))