Average Error: 0.0 → 0.0
Time: 428.0ms
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 r136920 = x;
        double r136921 = y;
        double r136922 = r136920 - r136921;
        double r136923 = fabs(r136922);
        double r136924 = fabs(r136921);
        double r136925 = r136923 / r136924;
        return r136925;
}
↓
double f(double x, double y) {
        double r136926 = x;
        double r136927 = y;
        double r136928 = r136926 - r136927;
        double r136929 = fabs(r136928);
        double r136930 = fabs(r136927);
        double r136931 = r136929 / r136930;
        return r136931;
}

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 2020027 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))