Average Error: 0.0 → 0.0
Time: 7.6s
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 r101936 = x;
        double r101937 = y;
        double r101938 = r101936 - r101937;
        double r101939 = fabs(r101938);
        double r101940 = fabs(r101937);
        double r101941 = r101939 / r101940;
        return r101941;
}
↓
double f(double x, double y) {
        double r101942 = x;
        double r101943 = y;
        double r101944 = r101942 - r101943;
        double r101945 = fabs(r101944);
        double r101946 = fabs(r101943);
        double r101947 = r101945 / r101946;
        return r101947;
}

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 2019174 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))