Average Error: 0.0 → 0.0
Time: 7.0s
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 r32276 = x;
        double r32277 = y;
        double r32278 = r32276 - r32277;
        double r32279 = fabs(r32278);
        double r32280 = sqrt(r32279);
        return r32280;
}
↓
double f(double x, double y) {
        double r32281 = x;
        double r32282 = y;
        double r32283 = r32281 - r32282;
        double r32284 = fabs(r32283);
        double r32285 = sqrt(r32284);
        return r32285;
}

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 2019305 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))