Average Error: 0.0 → 0.0
Time: 412.0ms
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 r38048 = x;
        double r38049 = y;
        double r38050 = r38048 - r38049;
        double r38051 = fabs(r38050);
        double r38052 = sqrt(r38051);
        return r38052;
}
↓
double f(double x, double y) {
        double r38053 = x;
        double r38054 = y;
        double r38055 = r38053 - r38054;
        double r38056 = fabs(r38055);
        double r38057 = sqrt(r38056);
        return r38057;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))