Average Error: 0.2 → 0.2
Time: 9.5s
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 r646938 = x;
        double r646939 = 16.0;
        double r646940 = 116.0;
        double r646941 = r646939 / r646940;
        double r646942 = r646938 - r646941;
        double r646943 = 3.0;
        double r646944 = r646942 * r646943;
        double r646945 = y;
        double r646946 = r646944 * r646945;
        return r646946;
}
↓
double f(double x, double y) {
        double r646947 = y;
        double r646948 = x;
        double r646949 = 16.0;
        double r646950 = 116.0;
        double r646951 = r646949 / r646950;
        double r646952 = r646948 - r646951;
        double r646953 = 3.0;
        double r646954 = r646952 * r646953;
        double r646955 = r646947 * r646954;
        return r646955;
}

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 2019194 
(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))