Average Error: 0.2 → 0.2
Time: 10.7s
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 r789313 = x;
        double r789314 = 16.0;
        double r789315 = 116.0;
        double r789316 = r789314 / r789315;
        double r789317 = r789313 - r789316;
        double r789318 = 3.0;
        double r789319 = r789317 * r789318;
        double r789320 = y;
        double r789321 = r789319 * r789320;
        return r789321;
}
↓
double f(double x, double y) {
        double r789322 = x;
        double r789323 = 16.0;
        double r789324 = 116.0;
        double r789325 = r789323 / r789324;
        double r789326 = r789322 - r789325;
        double r789327 = 3.0;
        double r789328 = r789326 * r789327;
        double r789329 = y;
        double r789330 = r789328 * r789329;
        return r789330;
}

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 2020047 +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))