Average Error: 0.0 → 0.0
Time: 1.2s
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 r196319 = 1.0;
        double r196320 = x;
        double r196321 = r196320 * r196320;
        double r196322 = r196319 - r196321;
        double r196323 = sqrt(r196322);
        return r196323;
}
↓
double f(double x) {
        double r196324 = 1.0;
        double r196325 = x;
        double r196326 = r196325 * r196325;
        double r196327 = r196324 - r196326;
        double r196328 = sqrt(r196327);
        return r196328;
}

Error

Bits error versus x

Try it out

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 2019362 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))