Average Error: 0.0 → 0.0
Time: 11.0s
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 r6300710 = x;
        double r6300711 = y;
        double r6300712 = r6300710 - r6300711;
        double r6300713 = fabs(r6300712);
        double r6300714 = fabs(r6300711);
        double r6300715 = r6300713 / r6300714;
        return r6300715;
}
↓
double f(double x, double y) {
        double r6300716 = x;
        double r6300717 = y;
        double r6300718 = r6300716 - r6300717;
        double r6300719 = fabs(r6300718);
        double r6300720 = fabs(r6300717);
        double r6300721 = r6300719 / r6300720;
        return r6300721;
}

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 2019179 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))