Average Error: 0.0 → 0.0
Time: 11.7s
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 r121340 = x;
        double r121341 = y;
        double r121342 = r121340 - r121341;
        double r121343 = fabs(r121342);
        double r121344 = fabs(r121341);
        double r121345 = r121343 / r121344;
        return r121345;
}
↓
double f(double x, double y) {
        double r121346 = x;
        double r121347 = y;
        double r121348 = r121346 - r121347;
        double r121349 = fabs(r121348);
        double r121350 = fabs(r121347);
        double r121351 = r121349 / r121350;
        return r121351;
}

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)))