Average Error: 0.2 → 0.2
Time: 2.4s
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 r755981 = x;
        double r755982 = 16.0;
        double r755983 = 116.0;
        double r755984 = r755982 / r755983;
        double r755985 = r755981 - r755984;
        double r755986 = 3.0;
        double r755987 = r755985 * r755986;
        double r755988 = y;
        double r755989 = r755987 * r755988;
        return r755989;
}
↓
double f(double x, double y) {
        double r755990 = x;
        double r755991 = 16.0;
        double r755992 = 116.0;
        double r755993 = r755991 / r755992;
        double r755994 = r755990 - r755993;
        double r755995 = 3.0;
        double r755996 = r755994 * r755995;
        double r755997 = y;
        double r755998 = r755996 * r755997;
        return r755998;
}

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 2020039 
(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))