Average Error: 0.0 → 0.0
Time: 11.6s
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 r125874 = x;
        double r125875 = y;
        double r125876 = r125874 - r125875;
        double r125877 = fabs(r125876);
        double r125878 = fabs(r125875);
        double r125879 = r125877 / r125878;
        return r125879;
}
↓
double f(double x, double y) {
        double r125880 = x;
        double r125881 = y;
        double r125882 = r125880 - r125881;
        double r125883 = fabs(r125882);
        double r125884 = fabs(r125881);
        double r125885 = r125883 / r125884;
        return r125885;
}

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 2019194 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))