Average Error: 0.2 → 0.2
Time: 8.8s
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 r928279 = x;
        double r928280 = 16.0;
        double r928281 = 116.0;
        double r928282 = r928280 / r928281;
        double r928283 = r928279 - r928282;
        double r928284 = 3.0;
        double r928285 = r928283 * r928284;
        double r928286 = y;
        double r928287 = r928285 * r928286;
        return r928287;
}
↓
double f(double x, double y) {
        double r928288 = x;
        double r928289 = 16.0;
        double r928290 = 116.0;
        double r928291 = r928289 / r928290;
        double r928292 = r928288 - r928291;
        double r928293 = 3.0;
        double r928294 = r928292 * r928293;
        double r928295 = y;
        double r928296 = r928294 * r928295;
        return r928296;
}

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))