Average Error: 0.0 → 0.0
Time: 13.3s
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 r75609 = x;
        double r75610 = y;
        double r75611 = r75609 - r75610;
        double r75612 = fabs(r75611);
        double r75613 = fabs(r75610);
        double r75614 = r75612 / r75613;
        return r75614;
}
↓
double f(double x, double y) {
        double r75615 = x;
        double r75616 = y;
        double r75617 = r75615 - r75616;
        double r75618 = fabs(r75617);
        double r75619 = fabs(r75616);
        double r75620 = r75618 / r75619;
        return r75620;
}

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 2019305 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))