Average Error: 0.2 → 0.2
Time: 2.6s
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 r1436195 = x;
        double r1436196 = 16.0;
        double r1436197 = 116.0;
        double r1436198 = r1436196 / r1436197;
        double r1436199 = r1436195 - r1436198;
        double r1436200 = 3.0;
        double r1436201 = r1436199 * r1436200;
        double r1436202 = y;
        double r1436203 = r1436201 * r1436202;
        return r1436203;
}
↓
double f(double x, double y) {
        double r1436204 = x;
        double r1436205 = 16.0;
        double r1436206 = 116.0;
        double r1436207 = r1436205 / r1436206;
        double r1436208 = r1436204 - r1436207;
        double r1436209 = 3.0;
        double r1436210 = r1436208 * r1436209;
        double r1436211 = y;
        double r1436212 = r1436210 * r1436211;
        return r1436212;
}

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))