Average Error: 0.0 → 0.0
Time: 1.1s
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 r119188 = x;
        double r119189 = y;
        double r119190 = r119188 - r119189;
        double r119191 = fabs(r119190);
        double r119192 = fabs(r119189);
        double r119193 = r119191 / r119192;
        return r119193;
}
↓
double f(double x, double y) {
        double r119194 = x;
        double r119195 = y;
        double r119196 = r119194 - r119195;
        double r119197 = fabs(r119196);
        double r119198 = fabs(r119195);
        double r119199 = r119197 / r119198;
        return r119199;
}

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 2020060 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))