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 r192930 = 1.0;
        double r192931 = x;
        double r192932 = r192931 * r192931;
        double r192933 = r192930 - r192932;
        double r192934 = sqrt(r192933);
        return r192934;
}

↓

double f(double x) {
        double r192935 = 1.0;
        double r192936 = x;
        double r192937 = r192936 * r192936;
        double r192938 = r192935 - r192937;
        double r192939 = sqrt(r192938);
        return r192939;
}

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