Average Error: 0.0 → 0.0
Time: 1.3s
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 r108045 = x;
        double r108046 = y;
        double r108047 = r108045 - r108046;
        double r108048 = fabs(r108047);
        double r108049 = fabs(r108046);
        double r108050 = r108048 / r108049;
        return r108050;
}
↓
double f(double x, double y) {
        double r108051 = x;
        double r108052 = y;
        double r108053 = r108051 - r108052;
        double r108054 = fabs(r108053);
        double r108055 = fabs(r108052);
        double r108056 = r108054 / r108055;
        return r108056;
}

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 2020047 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))