Average Error: 0.0 → 0.0
Time: 2.3s
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 r92551 = x;
        double r92552 = y;
        double r92553 = r92551 - r92552;
        double r92554 = fabs(r92553);
        double r92555 = fabs(r92552);
        double r92556 = r92554 / r92555;
        return r92556;
}
↓
double f(double x, double y) {
        double r92557 = x;
        double r92558 = y;
        double r92559 = r92557 - r92558;
        double r92560 = fabs(r92559);
        double r92561 = fabs(r92558);
        double r92562 = r92560 / r92561;
        return r92562;
}

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 2020001 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))