Average Error: 0.0 → 0.0
Time: 2.0s
Precision: 64
\[\sqrt{1 - x \cdot x}\]
↓
\[\sqrt{1 - x \cdot x}\]
\sqrt{1 - x \cdot x}
↓
\sqrt{1 - x \cdot x}
double f(double x) {
        double r194362 = 1.0;
        double r194363 = x;
        double r194364 = r194363 * r194363;
        double r194365 = r194362 - r194364;
        double r194366 = sqrt(r194365);
        return r194366;
}
↓
double f(double x) {
        double r194367 = 1.0;
        double r194368 = x;
        double r194369 = r194368 * r194368;
        double r194370 = r194367 - r194369;
        double r194371 = sqrt(r194370);
        return r194371;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{1 - x \cdot x}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{1 - x \cdot x}\]

Reproduce

herbie shell --seed 2020062 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))