Average Error: 0.2 → 0.2
Time: 17.5s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)
double f(double x, double y) {
        double r41245933 = x;
        double r41245934 = 16.0;
        double r41245935 = 116.0;
        double r41245936 = r41245934 / r41245935;
        double r41245937 = r41245933 - r41245936;
        double r41245938 = 3.0;
        double r41245939 = r41245937 * r41245938;
        double r41245940 = y;
        double r41245941 = r41245939 * r41245940;
        return r41245941;
}
↓
double f(double x, double y) {
        double r41245942 = y;
        double r41245943 = x;
        double r41245944 = 16.0;
        double r41245945 = 116.0;
        double r41245946 = r41245944 / r41245945;
        double r41245947 = r41245943 - r41245946;
        double r41245948 = 3.0;
        double r41245949 = r41245947 * r41245948;
        double r41245950 = r41245942 * r41245949;
        return r41245950;
}

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

    \[\leadsto y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"

  :herbie-target
  (* y (- (* x 3.0) 0.41379310344827586))

  (* (* (- x (/ 16.0 116.0)) 3.0) y))