Average Error: 0.0 → 0.0
Time: 3.0s
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 r26537 = x;
        double r26538 = y;
        double r26539 = r26537 - r26538;
        double r26540 = fabs(r26539);
        double r26541 = sqrt(r26540);
        return r26541;
}
↓
double f(double x, double y) {
        double r26542 = x;
        double r26543 = y;
        double r26544 = r26542 - r26543;
        double r26545 = fabs(r26544);
        double r26546 = sqrt(r26545);
        return r26546;
}

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 2019303 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))