Average Error: 0.0 → 0.0
Time: 5.5s
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 r128941 = x;
        double r128942 = y;
        double r128943 = r128941 - r128942;
        double r128944 = fabs(r128943);
        double r128945 = fabs(r128942);
        double r128946 = r128944 / r128945;
        return r128946;
}
↓
double f(double x, double y) {
        double r128947 = x;
        double r128948 = y;
        double r128949 = r128947 - r128948;
        double r128950 = fabs(r128949);
        double r128951 = fabs(r128948);
        double r128952 = r128950 / r128951;
        return r128952;
}

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 2020046 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))