Average Error: 0.2 → 0.2
Time: 5.3s
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 r5210 = x;
        double r5211 = 16.0;
        double r5212 = 116.0;
        double r5213 = r5211 / r5212;
        double r5214 = r5210 - r5213;
        double r5215 = 3.0;
        double r5216 = r5214 * r5215;
        double r5217 = y;
        double r5218 = r5216 * r5217;
        return r5218;
}
↓
double f(double x, double y) {
        double r5219 = x;
        double r5220 = 16.0;
        double r5221 = 116.0;
        double r5222 = r5220 / r5221;
        double r5223 = r5219 - r5222;
        double r5224 = 3.0;
        double r5225 = r5223 * r5224;
        double r5226 = y;
        double r5227 = r5225 * r5226;
        return r5227;
}

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 2020025 +o rules:numerics
(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))