Average Error: 0.0 → 0.0
Time: 23.5s
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 r147080 = x;
        double r147081 = y;
        double r147082 = r147080 - r147081;
        double r147083 = fabs(r147082);
        double r147084 = fabs(r147081);
        double r147085 = r147083 / r147084;
        return r147085;
}
↓
double f(double x, double y) {
        double r147086 = x;
        double r147087 = y;
        double r147088 = r147086 - r147087;
        double r147089 = fabs(r147088);
        double r147090 = fabs(r147087);
        double r147091 = r147089 / r147090;
        return r147091;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))