Average Error: 0.0 → 0.0
Time: 6.3s
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 r120822 = x;
        double r120823 = y;
        double r120824 = r120822 - r120823;
        double r120825 = fabs(r120824);
        double r120826 = fabs(r120823);
        double r120827 = r120825 / r120826;
        return r120827;
}
↓
double f(double x, double y) {
        double r120828 = x;
        double r120829 = y;
        double r120830 = r120828 - r120829;
        double r120831 = fabs(r120830);
        double r120832 = fabs(r120829);
        double r120833 = r120831 / r120832;
        return r120833;
}

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