Average Error: 0.2 → 0.2
Time: 12.4s
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 r527002 = x;
        double r527003 = 16.0;
        double r527004 = 116.0;
        double r527005 = r527003 / r527004;
        double r527006 = r527002 - r527005;
        double r527007 = 3.0;
        double r527008 = r527006 * r527007;
        double r527009 = y;
        double r527010 = r527008 * r527009;
        return r527010;
}
↓
double f(double x, double y) {
        double r527011 = x;
        double r527012 = 16.0;
        double r527013 = 116.0;
        double r527014 = r527012 / r527013;
        double r527015 = r527011 - r527014;
        double r527016 = 3.0;
        double r527017 = r527015 * r527016;
        double r527018 = y;
        double r527019 = r527017 * r527018;
        return r527019;
}

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

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

Reproduce

herbie shell --seed 2019304 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.413793103448275856))

  (* (* (- x (/ 16 116)) 3) y))