Average Error: 0.0 → 0.0
Time: 10.5s
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 r140836 = x;
        double r140837 = y;
        double r140838 = r140836 - r140837;
        double r140839 = fabs(r140838);
        double r140840 = fabs(r140837);
        double r140841 = r140839 / r140840;
        return r140841;
}
↓
double f(double x, double y) {
        double r140842 = x;
        double r140843 = y;
        double r140844 = r140842 - r140843;
        double r140845 = fabs(r140844);
        double r140846 = fabs(r140843);
        double r140847 = r140845 / r140846;
        return r140847;
}

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 2020047 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))