Average Error: 0.2 → 0.2
Time: 4.1s
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 r960501 = x;
        double r960502 = 16.0;
        double r960503 = 116.0;
        double r960504 = r960502 / r960503;
        double r960505 = r960501 - r960504;
        double r960506 = 3.0;
        double r960507 = r960505 * r960506;
        double r960508 = y;
        double r960509 = r960507 * r960508;
        return r960509;
}
↓
double f(double x, double y) {
        double r960510 = x;
        double r960511 = 16.0;
        double r960512 = 116.0;
        double r960513 = r960511 / r960512;
        double r960514 = r960510 - r960513;
        double r960515 = 3.0;
        double r960516 = r960514 * r960515;
        double r960517 = y;
        double r960518 = r960516 * r960517;
        return r960518;
}

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 2020036 
(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))