Average Error: 39.3 → 39.3
Time: 938.0ms
Precision: binary64
\[1 - \sqrt{1 - x}\]
↓
\[1 - \sqrt{1 - x}\]
1 - \sqrt{1 - x}
↓
1 - \sqrt{1 - x}
double code(double x) {
	return ((double) (1.0 - ((double) sqrt(((double) (1.0 - x))))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) sqrt(((double) (1.0 - x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 39.3

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

  2. Final simplification39.3

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- 1 (sqrt (- 1 x)))"
  :precision binary64
  (- 1.0 (sqrt (- 1.0 x))))