Average Error: 0.0 → 0.0
Time: 12.7s
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 r14135 = x;
        double r14136 = y;
        double r14137 = r14135 - r14136;
        double r14138 = fabs(r14137);
        double r14139 = fabs(r14136);
        double r14140 = r14138 / r14139;
        return r14140;
}
↓
double f(double x, double y) {
        double r14141 = x;
        double r14142 = y;
        double r14143 = r14141 - r14142;
        double r14144 = fabs(r14143);
        double r14145 = fabs(r14142);
        double r14146 = r14144 / r14145;
        return r14146;
}

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 2019315 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))