Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

Average Error: 0.0 → 0.0

Time: 4.0s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\sqrt{1 - x \cdot x}\]

↓

\[\sqrt{1 - x \cdot x}\]

C

double f(double x) {
        double r186976 = 1.0;
        double r186977 = x;
        double r186978 = r186977 * r186977;
        double r186979 = r186976 - r186978;
        double r186980 = sqrt(r186979);
        return r186980;
}

↓

double f(double x) {
        double r186981 = 1.0;
        double r186982 = x;
        double r186983 = r186982 * r186982;
        double r186984 = r186981 - r186983;
        double r186985 = sqrt(r186984);
        return r186985;
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\sqrt{1 - x \cdot x}\]

2. Final simplification 0.0

   \[\leadsto \sqrt{1 - x \cdot x}\]

Reproduce

herbie shell --seed 2020045 +o rules:numerics
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))