Average Error: 0.0 → 0.0
Time: 13.1s
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 r91148 = x;
        double r91149 = y;
        double r91150 = r91148 - r91149;
        double r91151 = fabs(r91150);
        double r91152 = fabs(r91149);
        double r91153 = r91151 / r91152;
        return r91153;
}
↓
double f(double x, double y) {
        double r91154 = x;
        double r91155 = y;
        double r91156 = r91154 - r91155;
        double r91157 = fabs(r91156);
        double r91158 = fabs(r91155);
        double r91159 = r91157 / r91158;
        return r91159;
}

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 2019322 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))