Average Error: 0.0 → 0.0
Time: 13.7s
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 r41462 = x;
        double r41463 = y;
        double r41464 = r41462 - r41463;
        double r41465 = fabs(r41464);
        double r41466 = sqrt(r41465);
        return r41466;
}
↓
double f(double x, double y) {
        double r41467 = x;
        double r41468 = y;
        double r41469 = r41467 - r41468;
        double r41470 = fabs(r41469);
        double r41471 = sqrt(r41470);
        return r41471;
}

Error

Bits error versus x

Bits error versus y

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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 2019306 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))