Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r53950 = x;
        double r53951 = y;
        double r53952 = r53950 - r53951;
        double r53953 = fabs(r53952);
        double r53954 = sqrt(r53953);
        return r53954;
}
↓
double f(double x, double y) {
        double r53955 = x;
        double r53956 = y;
        double r53957 = r53955 - r53956;
        double r53958 = fabs(r53957);
        double r53959 = sqrt(r53958);
        return r53959;
}

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

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2019350 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))