Average Error: 0.0 → 0.0
Time: 7.3s
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 r112668 = x;
        double r112669 = y;
        double r112670 = r112668 - r112669;
        double r112671 = fabs(r112670);
        double r112672 = fabs(r112669);
        double r112673 = r112671 / r112672;
        return r112673;
}
↓
double f(double x, double y) {
        double r112674 = x;
        double r112675 = y;
        double r112676 = r112674 - r112675;
        double r112677 = fabs(r112676);
        double r112678 = fabs(r112675);
        double r112679 = r112677 / r112678;
        return r112679;
}

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 2019350 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))