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 r3683436 = x;
        double r3683437 = y;
        double r3683438 = r3683436 - r3683437;
        double r3683439 = fabs(r3683438);
        double r3683440 = fabs(r3683437);
        double r3683441 = r3683439 / r3683440;
        return r3683441;
}
↓
double f(double x, double y) {
        double r3683442 = x;
        double r3683443 = y;
        double r3683444 = r3683442 - r3683443;
        double r3683445 = fabs(r3683444);
        double r3683446 = fabs(r3683443);
        double r3683447 = r3683445 / r3683446;
        return r3683447;
}

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))