Average Error: 0.2 → 0.2
Time: 9.1s
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 r857221 = x;
        double r857222 = 16.0;
        double r857223 = 116.0;
        double r857224 = r857222 / r857223;
        double r857225 = r857221 - r857224;
        double r857226 = 3.0;
        double r857227 = r857225 * r857226;
        double r857228 = y;
        double r857229 = r857227 * r857228;
        return r857229;
}
↓
double f(double x, double y) {
        double r857230 = x;
        double r857231 = 16.0;
        double r857232 = 116.0;
        double r857233 = r857231 / r857232;
        double r857234 = r857230 - r857233;
        double r857235 = 3.0;
        double r857236 = r857234 * r857235;
        double r857237 = y;
        double r857238 = r857236 * r857237;
        return r857238;
}

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 2020042 
(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))