Average Error: 0.0 → 0.0
Time: 5.0s
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 r100383 = x;
        double r100384 = y;
        double r100385 = r100383 - r100384;
        double r100386 = fabs(r100385);
        double r100387 = fabs(r100384);
        double r100388 = r100386 / r100387;
        return r100388;
}
↓
double f(double x, double y) {
        double r100389 = x;
        double r100390 = y;
        double r100391 = r100389 - r100390;
        double r100392 = fabs(r100391);
        double r100393 = fabs(r100390);
        double r100394 = r100392 / r100393;
        return r100394;
}

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 2019208 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))