Average Error: 0.0 → 0.0
Time: 372.0ms
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 r24573 = x;
        double r24574 = y;
        double r24575 = r24573 - r24574;
        double r24576 = fabs(r24575);
        double r24577 = sqrt(r24576);
        return r24577;
}
↓
double f(double x, double y) {
        double r24578 = x;
        double r24579 = y;
        double r24580 = r24578 - r24579;
        double r24581 = fabs(r24580);
        double r24582 = sqrt(r24581);
        return r24582;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))