Average Error: 0.0 → 0.0
Time: 2.5s
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 r99382 = x;
        double r99383 = y;
        double r99384 = r99382 - r99383;
        double r99385 = fabs(r99384);
        double r99386 = fabs(r99383);
        double r99387 = r99385 / r99386;
        return r99387;
}
↓
double f(double x, double y) {
        double r99388 = x;
        double r99389 = y;
        double r99390 = r99388 - r99389;
        double r99391 = fabs(r99390);
        double r99392 = fabs(r99389);
        double r99393 = r99391 / r99392;
        return r99393;
}

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 2019362 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))