Average Error: 0.0 → 0.0
Time: 4.8s
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 r101072 = x;
        double r101073 = y;
        double r101074 = r101072 - r101073;
        double r101075 = fabs(r101074);
        double r101076 = fabs(r101073);
        double r101077 = r101075 / r101076;
        return r101077;
}
↓
double f(double x, double y) {
        double r101078 = x;
        double r101079 = y;
        double r101080 = r101078 - r101079;
        double r101081 = fabs(r101080);
        double r101082 = fabs(r101079);
        double r101083 = r101081 / r101082;
        return r101083;
}

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 2019297 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))