Average Error: 0.0 → 0.0
Time: 2.3s
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 r139357 = x;
        double r139358 = y;
        double r139359 = r139357 - r139358;
        double r139360 = fabs(r139359);
        double r139361 = fabs(r139358);
        double r139362 = r139360 / r139361;
        return r139362;
}
↓
double f(double x, double y) {
        double r139363 = x;
        double r139364 = y;
        double r139365 = r139363 - r139364;
        double r139366 = fabs(r139365);
        double r139367 = fabs(r139364);
        double r139368 = r139366 / r139367;
        return r139368;
}

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 2019353 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))