Average Error: 0.0 → 0.0
Time: 1.0s
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 r28494 = x;
        double r28495 = y;
        double r28496 = r28494 - r28495;
        double r28497 = fabs(r28496);
        double r28498 = sqrt(r28497);
        return r28498;
}
↓
double f(double x, double y) {
        double r28499 = x;
        double r28500 = y;
        double r28501 = r28499 - r28500;
        double r28502 = fabs(r28501);
        double r28503 = sqrt(r28502);
        return r28503;
}

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