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 r132332 = 1.0;
        double r132333 = x;
        double r132334 = r132333 * r132333;
        double r132335 = r132332 - r132334;
        double r132336 = sqrt(r132335);
        return r132336;
}

↓

double f(double x) {
        double r132337 = 1.0;
        double r132338 = x;
        double r132339 = r132338 * r132338;
        double r132340 = r132337 - r132339;
        double r132341 = sqrt(r132340);
        return r132341;
}

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 2019351 +o rules:numerics
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))