Average Error: 0.0 → 0.0
Time: 1.0s
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 r98058 = 1.0;
        double r98059 = x;
        double r98060 = r98059 * r98059;
        double r98061 = r98058 - r98060;
        double r98062 = sqrt(r98061);
        return r98062;
}
↓
double f(double x) {
        double r98063 = 1.0;
        double r98064 = x;
        double r98065 = r98064 * r98064;
        double r98066 = r98063 - r98065;
        double r98067 = sqrt(r98066);
        return r98067;
}

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 2019326 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))