Average Error: 0.0 → 0.0
Time: 843.0ms
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 r105222 = x;
        double r105223 = y;
        double r105224 = r105222 - r105223;
        double r105225 = fabs(r105224);
        double r105226 = fabs(r105223);
        double r105227 = r105225 / r105226;
        return r105227;
}
↓
double f(double x, double y) {
        double r105228 = x;
        double r105229 = y;
        double r105230 = r105228 - r105229;
        double r105231 = fabs(r105230);
        double r105232 = fabs(r105229);
        double r105233 = r105231 / r105232;
        return r105233;
}

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 2020018 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))