Average Error: 0.0 → 0.0
Time: 4.8s
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 r38952 = x;
        double r38953 = y;
        double r38954 = r38952 - r38953;
        double r38955 = fabs(r38954);
        double r38956 = sqrt(r38955);
        return r38956;
}
↓
double f(double x, double y) {
        double r38957 = x;
        double r38958 = y;
        double r38959 = r38957 - r38958;
        double r38960 = fabs(r38959);
        double r38961 = sqrt(r38960);
        return r38961;
}

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 2020047 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))