Average Error: 0.2 → 0.2
Time: 8.5s
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 r966399 = x;
        double r966400 = 16.0;
        double r966401 = 116.0;
        double r966402 = r966400 / r966401;
        double r966403 = r966399 - r966402;
        double r966404 = 3.0;
        double r966405 = r966403 * r966404;
        double r966406 = y;
        double r966407 = r966405 * r966406;
        return r966407;
}
↓
double f(double x, double y) {
        double r966408 = x;
        double r966409 = 16.0;
        double r966410 = 116.0;
        double r966411 = r966409 / r966410;
        double r966412 = r966408 - r966411;
        double r966413 = 3.0;
        double r966414 = r966412 * r966413;
        double r966415 = y;
        double r966416 = r966414 * r966415;
        return r966416;
}

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 2020047 
(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))