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 r73653 = x;
        double r73654 = y;
        double r73655 = r73653 - r73654;
        double r73656 = fabs(r73655);
        double r73657 = fabs(r73654);
        double r73658 = r73656 / r73657;
        return r73658;
}
↓
double f(double x, double y) {
        double r73659 = x;
        double r73660 = y;
        double r73661 = r73659 - r73660;
        double r73662 = fabs(r73661);
        double r73663 = fabs(r73660);
        double r73664 = r73662 / r73663;
        return r73664;
}

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 2019199 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))