Average Error: 0.0 → 0.0
Time: 540.0ms
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 r254925 = 1.0;
        double r254926 = x;
        double r254927 = r254926 * r254926;
        double r254928 = r254925 - r254927;
        double r254929 = sqrt(r254928);
        return r254929;
}
↓
double f(double x) {
        double r254930 = 1.0;
        double r254931 = x;
        double r254932 = r254931 * r254931;
        double r254933 = r254930 - r254932;
        double r254934 = sqrt(r254933);
        return r254934;
}

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 2020065 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))