Average Error: 0.0 → 0.0
Time: 16.1s
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 r124617 = x;
        double r124618 = y;
        double r124619 = r124617 - r124618;
        double r124620 = fabs(r124619);
        double r124621 = fabs(r124618);
        double r124622 = r124620 / r124621;
        return r124622;
}
↓
double f(double x, double y) {
        double r124623 = x;
        double r124624 = y;
        double r124625 = r124623 - r124624;
        double r124626 = fabs(r124625);
        double r124627 = fabs(r124624);
        double r124628 = r124626 / r124627;
        return r124628;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))