Average Error: 0.0 → 0.0
Time: 21.6s
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 r85513 = x;
        double r85514 = y;
        double r85515 = r85513 - r85514;
        double r85516 = fabs(r85515);
        double r85517 = fabs(r85514);
        double r85518 = r85516 / r85517;
        return r85518;
}
↓
double f(double x, double y) {
        double r85519 = x;
        double r85520 = y;
        double r85521 = r85519 - r85520;
        double r85522 = fabs(r85521);
        double r85523 = fabs(r85520);
        double r85524 = r85522 / r85523;
        return r85524;
}

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 2019325 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))