Average Error: 0.2 → 0.2
Time: 17.6s
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 r553239 = x;
        double r553240 = 16.0;
        double r553241 = 116.0;
        double r553242 = r553240 / r553241;
        double r553243 = r553239 - r553242;
        double r553244 = 3.0;
        double r553245 = r553243 * r553244;
        double r553246 = y;
        double r553247 = r553245 * r553246;
        return r553247;
}
↓
double f(double x, double y) {
        double r553248 = x;
        double r553249 = 16.0;
        double r553250 = 116.0;
        double r553251 = r553249 / r553250;
        double r553252 = r553248 - r553251;
        double r553253 = 3.0;
        double r553254 = r553252 * r553253;
        double r553255 = y;
        double r553256 = r553254 * r553255;
        return r553256;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.413793103448275856))

  (* (* (- x (/ 16 116)) 3) y))