Average Error: 0.2 → 0.2
Time: 2.4s
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 r917090 = x;
        double r917091 = 16.0;
        double r917092 = 116.0;
        double r917093 = r917091 / r917092;
        double r917094 = r917090 - r917093;
        double r917095 = 3.0;
        double r917096 = r917094 * r917095;
        double r917097 = y;
        double r917098 = r917096 * r917097;
        return r917098;
}
↓
double f(double x, double y) {
        double r917099 = x;
        double r917100 = 16.0;
        double r917101 = 116.0;
        double r917102 = r917100 / r917101;
        double r917103 = r917099 - r917102;
        double r917104 = 3.0;
        double r917105 = r917103 * r917104;
        double r917106 = y;
        double r917107 = r917105 * r917106;
        return r917107;
}

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 
(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))