Average Error: 0.0 → 0.0
Time: 1.8s
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 r90570 = x;
        double r90571 = y;
        double r90572 = r90570 - r90571;
        double r90573 = fabs(r90572);
        double r90574 = fabs(r90571);
        double r90575 = r90573 / r90574;
        return r90575;
}
↓
double f(double x, double y) {
        double r90576 = x;
        double r90577 = y;
        double r90578 = r90576 - r90577;
        double r90579 = fabs(r90578);
        double r90580 = fabs(r90577);
        double r90581 = r90579 / r90580;
        return r90581;
}

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 2020056 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))