Average Error: 0.0 → 0.0
Time: 20.3s
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 r20291 = x;
        double r20292 = y;
        double r20293 = r20291 - r20292;
        double r20294 = fabs(r20293);
        double r20295 = fabs(r20292);
        double r20296 = r20294 / r20295;
        return r20296;
}
↓
double f(double x, double y) {
        double r20297 = x;
        double r20298 = y;
        double r20299 = r20297 - r20298;
        double r20300 = fabs(r20299);
        double r20301 = fabs(r20298);
        double r20302 = r20300 / r20301;
        return r20302;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))