Average Error: 0.2 → 0.2
Time: 3.0s
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 r944300 = x;
        double r944301 = 16.0;
        double r944302 = 116.0;
        double r944303 = r944301 / r944302;
        double r944304 = r944300 - r944303;
        double r944305 = 3.0;
        double r944306 = r944304 * r944305;
        double r944307 = y;
        double r944308 = r944306 * r944307;
        return r944308;
}
↓
double f(double x, double y) {
        double r944309 = x;
        double r944310 = 16.0;
        double r944311 = 116.0;
        double r944312 = r944310 / r944311;
        double r944313 = r944309 - r944312;
        double r944314 = 3.0;
        double r944315 = r944313 * r944314;
        double r944316 = y;
        double r944317 = r944315 * r944316;
        return r944317;
}

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 2020060 
(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))