Average Error: 0.0 → 0.0
Time: 5.9s
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 r102927 = x;
        double r102928 = y;
        double r102929 = r102927 - r102928;
        double r102930 = fabs(r102929);
        double r102931 = fabs(r102928);
        double r102932 = r102930 / r102931;
        return r102932;
}
↓
double f(double x, double y) {
        double r102933 = x;
        double r102934 = y;
        double r102935 = r102933 - r102934;
        double r102936 = fabs(r102935);
        double r102937 = fabs(r102934);
        double r102938 = r102936 / r102937;
        return r102938;
}

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 2019195 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))