Average Error: 0.2 → 0.2
Time: 3.3s
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 r823239 = x;
        double r823240 = 16.0;
        double r823241 = 116.0;
        double r823242 = r823240 / r823241;
        double r823243 = r823239 - r823242;
        double r823244 = 3.0;
        double r823245 = r823243 * r823244;
        double r823246 = y;
        double r823247 = r823245 * r823246;
        return r823247;
}
↓
double f(double x, double y) {
        double r823248 = x;
        double r823249 = 16.0;
        double r823250 = 116.0;
        double r823251 = r823249 / r823250;
        double r823252 = r823248 - r823251;
        double r823253 = 3.0;
        double r823254 = r823252 * r823253;
        double r823255 = y;
        double r823256 = r823254 * r823255;
        return r823256;
}

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))