Average Error: 0.0 → 0.0
Time: 1.3s
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 r91371 = x;
        double r91372 = y;
        double r91373 = r91371 - r91372;
        double r91374 = fabs(r91373);
        double r91375 = fabs(r91372);
        double r91376 = r91374 / r91375;
        return r91376;
}
↓
double f(double x, double y) {
        double r91377 = x;
        double r91378 = y;
        double r91379 = r91377 - r91378;
        double r91380 = fabs(r91379);
        double r91381 = fabs(r91378);
        double r91382 = r91380 / r91381;
        return r91382;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))