Average Error: 0.2 → 0.2
Time: 13.7s
Precision: 64
\[\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)\]
\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)
double f(double x, double y) {
        double r43715962 = x;
        double r43715963 = 16.0;
        double r43715964 = 116.0;
        double r43715965 = r43715963 / r43715964;
        double r43715966 = r43715962 - r43715965;
        double r43715967 = 3.0;
        double r43715968 = r43715966 * r43715967;
        double r43715969 = y;
        double r43715970 = r43715968 * r43715969;
        return r43715970;
}
↓
double f(double x, double y) {
        double r43715971 = y;
        double r43715972 = x;
        double r43715973 = 16.0;
        double r43715974 = 116.0;
        double r43715975 = r43715973 / r43715974;
        double r43715976 = r43715972 - r43715975;
        double r43715977 = 3.0;
        double r43715978 = r43715976 * r43715977;
        double r43715979 = r43715971 * r43715978;
        return r43715979;
}

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
\[y \cdot \left(x \cdot 3.0 - 0.41379310344827586\right)\]

Derivation

  1. Initial program 0.2

    \[\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)\]

Reproduce

herbie shell --seed 2019162 
(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))