Average Error: 0.0 → 0.0
Time: 10.2s
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 r137581 = x;
        double r137582 = y;
        double r137583 = r137581 - r137582;
        double r137584 = fabs(r137583);
        double r137585 = fabs(r137582);
        double r137586 = r137584 / r137585;
        return r137586;
}
↓
double f(double x, double y) {
        double r137587 = x;
        double r137588 = y;
        double r137589 = r137587 - r137588;
        double r137590 = fabs(r137589);
        double r137591 = fabs(r137588);
        double r137592 = r137590 / r137591;
        return r137592;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))