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

Average Error: 0.0 → 0.0

Time: 2.6s

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 r185262 = 1.0;
        double r185263 = x;
        double r185264 = r185263 * r185263;
        double r185265 = r185262 - r185264;
        double r185266 = sqrt(r185265);
        return r185266;
}

↓

double f(double x) {
        double r185267 = 1.0;
        double r185268 = x;
        double r185269 = r185268 * r185268;
        double r185270 = r185267 - r185269;
        double r185271 = sqrt(r185270);
        return r185271;
}

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