Average Error: 0.0 → 0.0
Time: 1.4s
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 r138369 = x;
        double r138370 = y;
        double r138371 = r138369 - r138370;
        double r138372 = fabs(r138371);
        double r138373 = fabs(r138370);
        double r138374 = r138372 / r138373;
        return r138374;
}
↓
double f(double x, double y) {
        double r138375 = x;
        double r138376 = y;
        double r138377 = r138375 - r138376;
        double r138378 = fabs(r138377);
        double r138379 = fabs(r138376);
        double r138380 = r138378 / r138379;
        return r138380;
}

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 2020083 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))