Average Error: 0.0 → 0.0
Time: 10.6s
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 r5167757 = x;
        double r5167758 = y;
        double r5167759 = r5167757 - r5167758;
        double r5167760 = fabs(r5167759);
        double r5167761 = fabs(r5167758);
        double r5167762 = r5167760 / r5167761;
        return r5167762;
}
↓
double f(double x, double y) {
        double r5167763 = x;
        double r5167764 = y;
        double r5167765 = r5167763 - r5167764;
        double r5167766 = fabs(r5167765);
        double r5167767 = fabs(r5167764);
        double r5167768 = r5167766 / r5167767;
        return r5167768;
}

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 2019179 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))