Average Error: 0.0 → 0.0
Time: 6.4s
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 r109440 = x;
        double r109441 = y;
        double r109442 = r109440 - r109441;
        double r109443 = fabs(r109442);
        double r109444 = fabs(r109441);
        double r109445 = r109443 / r109444;
        return r109445;
}
↓
double f(double x, double y) {
        double r109446 = x;
        double r109447 = y;
        double r109448 = r109446 - r109447;
        double r109449 = fabs(r109448);
        double r109450 = fabs(r109447);
        double r109451 = r109449 / r109450;
        return r109451;
}

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 2019235 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))