Average Error: 0.0 → 0.0
Time: 15.7s
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 r4623519 = x;
        double r4623520 = y;
        double r4623521 = r4623519 - r4623520;
        double r4623522 = fabs(r4623521);
        double r4623523 = fabs(r4623520);
        double r4623524 = r4623522 / r4623523;
        return r4623524;
}
↓
double f(double x, double y) {
        double r4623525 = x;
        double r4623526 = y;
        double r4623527 = r4623525 - r4623526;
        double r4623528 = fabs(r4623527);
        double r4623529 = fabs(r4623526);
        double r4623530 = r4623528 / r4623529;
        return r4623530;
}

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 2019158 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))