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 r185539 = 1.0;
        double r185540 = x;
        double r185541 = r185540 * r185540;
        double r185542 = r185539 - r185541;
        double r185543 = sqrt(r185542);
        return r185543;
}

↓

double f(double x) {
        double r185544 = 1.0;
        double r185545 = x;
        double r185546 = r185545 * r185545;
        double r185547 = r185544 - r185546;
        double r185548 = sqrt(r185547);
        return r185548;
}

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))))