Average Error: 0.0 → 0.0
Time: 17.3s
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 r9357624 = 1.0;
        double r9357625 = x;
        double r9357626 = r9357625 * r9357625;
        double r9357627 = r9357624 - r9357626;
        double r9357628 = sqrt(r9357627);
        return r9357628;
}
↓
double f(double x) {
        double r9357629 = 1.0;
        double r9357630 = x;
        double r9357631 = r9357630 * r9357630;
        double r9357632 = r9357629 - r9357631;
        double r9357633 = sqrt(r9357632);
        return r9357633;
}

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 2019200 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  (sqrt (- 1.0 (* x x))))