Average Error: 0.2 → 0.2
Time: 4.0s
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 r850577 = x;
        double r850578 = 16.0;
        double r850579 = 116.0;
        double r850580 = r850578 / r850579;
        double r850581 = r850577 - r850580;
        double r850582 = 3.0;
        double r850583 = r850581 * r850582;
        double r850584 = y;
        double r850585 = r850583 * r850584;
        return r850585;
}
↓
double f(double x, double y) {
        double r850586 = x;
        double r850587 = 16.0;
        double r850588 = 116.0;
        double r850589 = r850587 / r850588;
        double r850590 = r850586 - r850589;
        double r850591 = 3.0;
        double r850592 = r850590 * r850591;
        double r850593 = y;
        double r850594 = r850592 * r850593;
        return r850594;
}

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
\[y \cdot \left(x \cdot 3 - 0.413793103448275856\right)\]

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.41379310344827586))

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