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

Average Error: 0.0 → 0.0

Time: 3.1s

Precision: binary64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\sqrt{1 - x \cdot x}\]

↓

\[\sqrt{1 - x \cdot x}\]

C

double code(double x) {
	return ((double) sqrt(((double) (1.0 - ((double) (x * x))))));
}

↓

double code(double x) {
	return ((double) sqrt(((double) (1.0 - ((double) (x * x))))));
}

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 2020182 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1.0 (* x x))))