Average Error: 30.1 → 30.1
Time: 1.5s
Precision: binary64
\[1 - \sqrt{1 - s \cdot s}\]
↓
\[1 - \sqrt{1 - s \cdot s}\]
1 - \sqrt{1 - s \cdot s}
↓
1 - \sqrt{1 - s \cdot s}
double code(double s) {
	return ((double) (1.0 - ((double) sqrt(((double) (1.0 - ((double) (s * s))))))));
}
↓
double code(double s) {
	return ((double) (1.0 - ((double) sqrt(((double) (1.0 - ((double) (s * s))))))));
}

Error

Bits error versus s

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.1

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

  2. Final simplification30.1

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

Reproduce

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