Average Error: 0.0 → 0.0
Time: 3.8s
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 r154285 = x;
        double r154286 = y;
        double r154287 = r154285 - r154286;
        double r154288 = fabs(r154287);
        double r154289 = fabs(r154286);
        double r154290 = r154288 / r154289;
        return r154290;
}
↓
double f(double x, double y) {
        double r154291 = x;
        double r154292 = y;
        double r154293 = r154291 - r154292;
        double r154294 = fabs(r154293);
        double r154295 = fabs(r154292);
        double r154296 = r154294 / r154295;
        return r154296;
}

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 2020057 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))