Average Error: 0.2 → 0.2
Time: 2.8s
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 r837605 = x;
        double r837606 = 16.0;
        double r837607 = 116.0;
        double r837608 = r837606 / r837607;
        double r837609 = r837605 - r837608;
        double r837610 = 3.0;
        double r837611 = r837609 * r837610;
        double r837612 = y;
        double r837613 = r837611 * r837612;
        return r837613;
}
↓
double f(double x, double y) {
        double r837614 = x;
        double r837615 = 16.0;
        double r837616 = 116.0;
        double r837617 = r837615 / r837616;
        double r837618 = r837614 - r837617;
        double r837619 = 3.0;
        double r837620 = r837618 * r837619;
        double r837621 = y;
        double r837622 = r837620 * r837621;
        return r837622;
}

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 2020018 
(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))