Average Error: 0.0 → 0.0
Time: 7.8s
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 r91156 = x;
        double r91157 = y;
        double r91158 = r91156 - r91157;
        double r91159 = fabs(r91158);
        double r91160 = fabs(r91157);
        double r91161 = r91159 / r91160;
        return r91161;
}
↓
double f(double x, double y) {
        double r91162 = x;
        double r91163 = y;
        double r91164 = r91162 - r91163;
        double r91165 = fabs(r91164);
        double r91166 = fabs(r91163);
        double r91167 = r91165 / r91166;
        return r91167;
}

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 2019212 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))