Average Error: 0.0 → 0.0
Time: 21.9s
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 r101342 = x;
        double r101343 = y;
        double r101344 = r101342 - r101343;
        double r101345 = fabs(r101344);
        double r101346 = fabs(r101343);
        double r101347 = r101345 / r101346;
        return r101347;
}
↓
double f(double x, double y) {
        double r101348 = x;
        double r101349 = y;
        double r101350 = r101348 - r101349;
        double r101351 = fabs(r101350);
        double r101352 = fabs(r101349);
        double r101353 = r101351 / r101352;
        return r101353;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))