Average Error: 0.0 → 0.0
Time: 7.6s
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 r5818647 = x;
        double r5818648 = y;
        double r5818649 = r5818647 - r5818648;
        double r5818650 = fabs(r5818649);
        double r5818651 = fabs(r5818648);
        double r5818652 = r5818650 / r5818651;
        return r5818652;
}
↓
double f(double x, double y) {
        double r5818653 = x;
        double r5818654 = y;
        double r5818655 = r5818653 - r5818654;
        double r5818656 = fabs(r5818655);
        double r5818657 = fabs(r5818654);
        double r5818658 = r5818656 / r5818657;
        return r5818658;
}

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 2019163 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))