Average Error: 0.2 → 0.2
Time: 13.7s
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 r589049 = x;
        double r589050 = 16.0;
        double r589051 = 116.0;
        double r589052 = r589050 / r589051;
        double r589053 = r589049 - r589052;
        double r589054 = 3.0;
        double r589055 = r589053 * r589054;
        double r589056 = y;
        double r589057 = r589055 * r589056;
        return r589057;
}
↓
double f(double x, double y) {
        double r589058 = x;
        double r589059 = 16.0;
        double r589060 = 116.0;
        double r589061 = r589059 / r589060;
        double r589062 = r589058 - r589061;
        double r589063 = 3.0;
        double r589064 = r589062 * r589063;
        double r589065 = y;
        double r589066 = r589064 * r589065;
        return r589066;
}

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 2019325 +o rules:numerics
(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))