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

Average Error: 0.0 → 0.0

Time: 3.4s

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 r196997 = 1.0;
        double r196998 = x;
        double r196999 = r196998 * r196998;
        double r197000 = r196997 - r196999;
        double r197001 = sqrt(r197000);
        return r197001;
}

↓

double f(double x) {
        double r197002 = 1.0;
        double r197003 = x;
        double r197004 = r197003 * r197003;
        double r197005 = r197002 - r197004;
        double r197006 = sqrt(r197005);
        return r197006;
}

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 2020042 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))