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

Average Error: 0.0 → 0.0

Time: 592.0ms

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 r226057 = 1.0;
        double r226058 = x;
        double r226059 = r226058 * r226058;
        double r226060 = r226057 - r226059;
        double r226061 = sqrt(r226060);
        return r226061;
}

↓

double f(double x) {
        double r226062 = 1.0;
        double r226063 = x;
        double r226064 = r226063 * r226063;
        double r226065 = r226062 - r226064;
        double r226066 = sqrt(r226065);
        return r226066;
}

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 2019350 +o rules:numerics
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))