Average Error: 0.0 → 0.0
Time: 14.0s
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 r3771032 = x;
        double r3771033 = y;
        double r3771034 = r3771032 - r3771033;
        double r3771035 = fabs(r3771034);
        double r3771036 = fabs(r3771033);
        double r3771037 = r3771035 / r3771036;
        return r3771037;
}
↓
double f(double x, double y) {
        double r3771038 = x;
        double r3771039 = y;
        double r3771040 = r3771038 - r3771039;
        double r3771041 = fabs(r3771040);
        double r3771042 = fabs(r3771039);
        double r3771043 = r3771041 / r3771042;
        return r3771043;
}

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 2019192 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))