Average Error: 0.0 → 0.0
Time: 1.6s
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 r104944 = x;
        double r104945 = y;
        double r104946 = r104944 - r104945;
        double r104947 = fabs(r104946);
        double r104948 = fabs(r104945);
        double r104949 = r104947 / r104948;
        return r104949;
}
↓
double f(double x, double y) {
        double r104950 = x;
        double r104951 = y;
        double r104952 = r104950 - r104951;
        double r104953 = fabs(r104952);
        double r104954 = fabs(r104951);
        double r104955 = r104953 / r104954;
        return r104955;
}

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 2020024 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))