Average Error: 0.0 → 0.0
Time: 14.8s
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 r136347 = x;
        double r136348 = y;
        double r136349 = r136347 - r136348;
        double r136350 = fabs(r136349);
        double r136351 = fabs(r136348);
        double r136352 = r136350 / r136351;
        return r136352;
}
↓
double f(double x, double y) {
        double r136353 = x;
        double r136354 = y;
        double r136355 = r136353 - r136354;
        double r136356 = fabs(r136355);
        double r136357 = fabs(r136354);
        double r136358 = r136356 / r136357;
        return r136358;
}

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