Average Error: 0.2 → 0.2
Time: 14.9s
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 r37919998 = x;
        double r37919999 = 16.0;
        double r37920000 = 116.0;
        double r37920001 = r37919999 / r37920000;
        double r37920002 = r37919998 - r37920001;
        double r37920003 = 3.0;
        double r37920004 = r37920002 * r37920003;
        double r37920005 = y;
        double r37920006 = r37920004 * r37920005;
        return r37920006;
}
↓
double f(double x, double y) {
        double r37920007 = y;
        double r37920008 = x;
        double r37920009 = 16.0;
        double r37920010 = 116.0;
        double r37920011 = r37920009 / r37920010;
        double r37920012 = r37920008 - r37920011;
        double r37920013 = 3.0;
        double r37920014 = r37920012 * r37920013;
        double r37920015 = r37920007 * r37920014;
        return r37920015;
}

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 2019168 
(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))