Average Error: 0.0 → 0.0
Time: 15.0s
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 r91361 = x;
        double r91362 = y;
        double r91363 = r91361 - r91362;
        double r91364 = fabs(r91363);
        double r91365 = fabs(r91362);
        double r91366 = r91364 / r91365;
        return r91366;
}
↓
double f(double x, double y) {
        double r91367 = x;
        double r91368 = y;
        double r91369 = r91367 - r91368;
        double r91370 = fabs(r91369);
        double r91371 = fabs(r91368);
        double r91372 = r91370 / r91371;
        return r91372;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))