Average Error: 0.0 → 0.0
Time: 20.7s
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 r4262955 = x;
        double r4262956 = y;
        double r4262957 = r4262955 - r4262956;
        double r4262958 = fabs(r4262957);
        double r4262959 = fabs(r4262956);
        double r4262960 = r4262958 / r4262959;
        return r4262960;
}
↓
double f(double x, double y) {
        double r4262961 = x;
        double r4262962 = y;
        double r4262963 = r4262961 - r4262962;
        double r4262964 = fabs(r4262963);
        double r4262965 = fabs(r4262962);
        double r4262966 = r4262964 / r4262965;
        return r4262966;
}

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 2019169 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))