Average Error: 0.0 → 0.0
Time: 6.9s
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 r6157489 = x;
        double r6157490 = y;
        double r6157491 = r6157489 - r6157490;
        double r6157492 = fabs(r6157491);
        double r6157493 = fabs(r6157490);
        double r6157494 = r6157492 / r6157493;
        return r6157494;
}
↓
double f(double x, double y) {
        double r6157495 = x;
        double r6157496 = y;
        double r6157497 = r6157495 - r6157496;
        double r6157498 = fabs(r6157497);
        double r6157499 = fabs(r6157496);
        double r6157500 = r6157498 / r6157499;
        return r6157500;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))