Average Error: 0.0 → 0.0
Time: 11.9s
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 r165090 = x;
        double r165091 = y;
        double r165092 = r165090 - r165091;
        double r165093 = fabs(r165092);
        double r165094 = fabs(r165091);
        double r165095 = r165093 / r165094;
        return r165095;
}
↓
double f(double x, double y) {
        double r165096 = x;
        double r165097 = y;
        double r165098 = r165096 - r165097;
        double r165099 = fabs(r165098);
        double r165100 = fabs(r165097);
        double r165101 = r165099 / r165100;
        return r165101;
}

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 2020042 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))