Average Error: 0.0 → 0.0
Time: 9.7s
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 r71669 = x;
        double r71670 = y;
        double r71671 = r71669 - r71670;
        double r71672 = fabs(r71671);
        double r71673 = fabs(r71670);
        double r71674 = r71672 / r71673;
        return r71674;
}
↓
double f(double x, double y) {
        double r71675 = x;
        double r71676 = y;
        double r71677 = r71675 - r71676;
        double r71678 = fabs(r71677);
        double r71679 = fabs(r71676);
        double r71680 = r71678 / r71679;
        return r71680;
}

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)))