Average Error: 0.0 → 0.0
Time: 1.5s
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 r110734 = 1.0;
        double r110735 = x;
        double r110736 = r110735 * r110735;
        double r110737 = r110734 - r110736;
        double r110738 = sqrt(r110737);
        return r110738;
}
↓
double f(double x) {
        double r110739 = 1.0;
        double r110740 = x;
        double r110741 = r110740 * r110740;
        double r110742 = r110739 - r110741;
        double r110743 = sqrt(r110742);
        return r110743;
}

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 2019305 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))