Average Error: 0.0 → 0.0
Time: 7.6s
Precision: 64
\[\frac{\left|x - y\right|}{\left|y\right|}\]
↓
\[\frac{\left|x - y\right|}{\left|y\right|}\]
\frac{\left|x - y\right|}{\left|y\right|}
↓
\frac{\left|x - y\right|}{\left|y\right|}
double f(double x, double y) {
        double r3929442 = x;
        double r3929443 = y;
        double r3929444 = r3929442 - r3929443;
        double r3929445 = fabs(r3929444);
        double r3929446 = fabs(r3929443);
        double r3929447 = r3929445 / r3929446;
        return r3929447;
}
↓
double f(double x, double y) {
        double r3929448 = x;
        double r3929449 = y;
        double r3929450 = r3929448 - r3929449;
        double r3929451 = fabs(r3929450);
        double r3929452 = fabs(r3929449);
        double r3929453 = r3929451 / r3929452;
        return r3929453;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\left|x - y\right|}{\left|y\right|}\]

  2. Final simplification0.0

    \[\leadsto \frac{\left|x - y\right|}{\left|y\right|}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))