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 r808669 = 1.0;
        double r808670 = x;
        double r808671 = r808670 * r808670;
        double r808672 = r808669 - r808671;
        double r808673 = sqrt(r808672);
        return r808673;
}
↓
double f(double x) {
        double r808674 = 1.0;
        double r808675 = x;
        double r808676 = r808675 * r808675;
        double r808677 = r808674 - r808676;
        double r808678 = sqrt(r808677);
        return r808678;
}

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 2019198 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  (sqrt (- 1.0 (* x x))))