Average Error: 0.0 → 0.0
Time: 1.9s
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 r204278 = 1.0;
        double r204279 = x;
        double r204280 = r204279 * r204279;
        double r204281 = r204278 - r204280;
        double r204282 = sqrt(r204281);
        return r204282;
}
↓
double f(double x) {
        double r204283 = 1.0;
        double r204284 = x;
        double r204285 = r204284 * r204284;
        double r204286 = r204283 - r204285;
        double r204287 = sqrt(r204286);
        return r204287;
}

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 2020027 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))