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

Average Error: 0.0 → 0.0

Time: 566.0ms

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 r167444 = 1.0;
        double r167445 = x;
        double r167446 = r167445 * r167445;
        double r167447 = r167444 - r167446;
        double r167448 = sqrt(r167447);
        return r167448;
}

↓

double f(double x) {
        double r167449 = 1.0;
        double r167450 = x;
        double r167451 = r167450 * r167450;
        double r167452 = r167449 - r167451;
        double r167453 = sqrt(r167452);
        return r167453;
}

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