Average Error: 0.0 → 0.0
Time: 730.0ms
Precision: binary64
\[\sqrt{1 - e \cdot e}\]
↓
\[\sqrt{1 - e \cdot e}\]
\sqrt{1 - e \cdot e}
↓
\sqrt{1 - e \cdot e}
double code(double e) {
	return ((double) sqrt(((double) (1.0 - ((double) (e * e))))));
}
↓
double code(double e) {
	return ((double) sqrt(((double) (1.0 - ((double) (e * e))))));
}

Error

Bits error versus e

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (e)
  :name "(sqrt (- 1 (* e e)))"
  :precision binary64
  (sqrt (- 1.0 (* e e))))