Average Error: 0.0 → 0.0
Time: 1.1s
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 r125390 = x;
        double r125391 = y;
        double r125392 = r125390 - r125391;
        double r125393 = fabs(r125392);
        double r125394 = fabs(r125391);
        double r125395 = r125393 / r125394;
        return r125395;
}
↓
double f(double x, double y) {
        double r125396 = x;
        double r125397 = y;
        double r125398 = r125396 - r125397;
        double r125399 = fabs(r125398);
        double r125400 = fabs(r125397);
        double r125401 = r125399 / r125400;
        return r125401;
}

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 2020060 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))