Average Error: 0.2 → 0.2
Time: 10.2s
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 r872976 = x;
        double r872977 = 16.0;
        double r872978 = 116.0;
        double r872979 = r872977 / r872978;
        double r872980 = r872976 - r872979;
        double r872981 = 3.0;
        double r872982 = r872980 * r872981;
        double r872983 = y;
        double r872984 = r872982 * r872983;
        return r872984;
}
↓
double f(double x, double y) {
        double r872985 = x;
        double r872986 = 16.0;
        double r872987 = 116.0;
        double r872988 = r872986 / r872987;
        double r872989 = r872985 - r872988;
        double r872990 = 3.0;
        double r872991 = r872989 * r872990;
        double r872992 = y;
        double r872993 = r872991 * r872992;
        return r872993;
}

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))