Average Error: 0.2 → 0.2
Time: 13.4s
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 r543068 = x;
        double r543069 = 16.0;
        double r543070 = 116.0;
        double r543071 = r543069 / r543070;
        double r543072 = r543068 - r543071;
        double r543073 = 3.0;
        double r543074 = r543072 * r543073;
        double r543075 = y;
        double r543076 = r543074 * r543075;
        return r543076;
}
↓
double f(double x, double y) {
        double r543077 = x;
        double r543078 = 16.0;
        double r543079 = 116.0;
        double r543080 = r543078 / r543079;
        double r543081 = r543077 - r543080;
        double r543082 = 3.0;
        double r543083 = r543081 * r543082;
        double r543084 = y;
        double r543085 = r543083 * r543084;
        return r543085;
}

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
\[y \cdot \left(x \cdot 3 - 0.4137931034482758563264326312491903081536\right)\]

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 2019326 
(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))