Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\sqrt{1 - x \cdot x} \]
↓
\[\sqrt{1 - x \cdot x} \]
\sqrt{1 - x \cdot x}
↓
\sqrt{1 - x \cdot x}

(FPCore (x) :precision binary64 (sqrt (- 1.0 (* x x))))
↓
(FPCore (x) :precision binary64 (sqrt (- 1.0 (* x x))))
double code(double x) {
	return sqrt((1.0 - (x * x)));
}
↓
double code(double x) {
	return sqrt((1.0 - (x * x)));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2022160 
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1.0 (* x x))))