Average Error: 0.0 → 0.0
Time: 1.9s
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 r100221 = x;
        double r100222 = y;
        double r100223 = r100221 - r100222;
        double r100224 = fabs(r100223);
        double r100225 = fabs(r100222);
        double r100226 = r100224 / r100225;
        return r100226;
}
↓
double f(double x, double y) {
        double r100227 = x;
        double r100228 = y;
        double r100229 = r100227 - r100228;
        double r100230 = fabs(r100229);
        double r100231 = fabs(r100228);
        double r100232 = r100230 / r100231;
        return r100232;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))