Average Error: 0.0 → 0.0
Time: 14.5s
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 r89939 = x;
        double r89940 = y;
        double r89941 = r89939 - r89940;
        double r89942 = fabs(r89941);
        double r89943 = fabs(r89940);
        double r89944 = r89942 / r89943;
        return r89944;
}
↓
double f(double x, double y) {
        double r89945 = x;
        double r89946 = y;
        double r89947 = r89945 - r89946;
        double r89948 = fabs(r89947);
        double r89949 = fabs(r89946);
        double r89950 = r89948 / r89949;
        return r89950;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))