Average Error: 0.0 → 0.0
Time: 9.2s
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 r5832636 = x;
        double r5832637 = y;
        double r5832638 = r5832636 - r5832637;
        double r5832639 = fabs(r5832638);
        double r5832640 = fabs(r5832637);
        double r5832641 = r5832639 / r5832640;
        return r5832641;
}
↓
double f(double x, double y) {
        double r5832642 = x;
        double r5832643 = y;
        double r5832644 = r5832642 - r5832643;
        double r5832645 = fabs(r5832644);
        double r5832646 = fabs(r5832643);
        double r5832647 = r5832645 / r5832646;
        return r5832647;
}

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 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))