Average Error: 0.0 → 0.0
Time: 1.7s
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 r125608 = x;
        double r125609 = y;
        double r125610 = r125608 - r125609;
        double r125611 = fabs(r125610);
        double r125612 = fabs(r125609);
        double r125613 = r125611 / r125612;
        return r125613;
}
↓
double f(double x, double y) {
        double r125614 = x;
        double r125615 = y;
        double r125616 = r125614 - r125615;
        double r125617 = fabs(r125616);
        double r125618 = fabs(r125615);
        double r125619 = r125617 / r125618;
        return r125619;
}

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 2020062 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))