Average Error: 0.0 → 0.0
Time: 563.0ms
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 r142798 = 1.0;
        double r142799 = x;
        double r142800 = r142799 * r142799;
        double r142801 = r142798 - r142800;
        double r142802 = sqrt(r142801);
        return r142802;
}
↓
double f(double x) {
        double r142803 = 1.0;
        double r142804 = x;
        double r142805 = r142804 * r142804;
        double r142806 = r142803 - r142805;
        double r142807 = sqrt(r142806);
        return r142807;
}

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 2020020 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))