Average Error: 0.0 → 0.0
Time: 19.1s
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 r13665 = x;
        double r13666 = y;
        double r13667 = r13665 - r13666;
        double r13668 = fabs(r13667);
        double r13669 = fabs(r13666);
        double r13670 = r13668 / r13669;
        return r13670;
}
↓
double f(double x, double y) {
        double r13671 = x;
        double r13672 = y;
        double r13673 = r13671 - r13672;
        double r13674 = fabs(r13673);
        double r13675 = fabs(r13672);
        double r13676 = r13674 / r13675;
        return r13676;
}

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 2019310 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))