Average Error: 0.0 → 0.0
Time: 4.6s
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 r89587 = x;
        double r89588 = y;
        double r89589 = r89587 - r89588;
        double r89590 = fabs(r89589);
        double r89591 = fabs(r89588);
        double r89592 = r89590 / r89591;
        return r89592;
}
↓
double f(double x, double y) {
        double r89593 = x;
        double r89594 = y;
        double r89595 = r89593 - r89594;
        double r89596 = fabs(r89595);
        double r89597 = fabs(r89594);
        double r89598 = r89596 / r89597;
        return r89598;
}

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 2019294 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))