Average Error: 0.0 → 0.0
Time: 1.5s
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 r117519 = x;
        double r117520 = y;
        double r117521 = r117519 - r117520;
        double r117522 = fabs(r117521);
        double r117523 = fabs(r117520);
        double r117524 = r117522 / r117523;
        return r117524;
}
↓
double f(double x, double y) {
        double r117525 = x;
        double r117526 = y;
        double r117527 = r117525 - r117526;
        double r117528 = fabs(r117527);
        double r117529 = fabs(r117526);
        double r117530 = r117528 / r117529;
        return r117530;
}

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 2020065 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))