Average Error: 30.1 → 30.1
Time: 1.4s
Precision: binary64
\[\sqrt{1 - 2^{x}}\]
↓
\[\sqrt{1 - 2^{x}}\]
\sqrt{1 - 2^{x}}
↓
\sqrt{1 - 2^{x}}
double code(double x) {
	return ((double) sqrt(((double) (1.0 - ((double) exp2(x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (1.0 - ((double) exp2(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.1

    \[\sqrt{1 - 2^{x}}\]

  2. Final simplification30.1

    \[\leadsto \sqrt{1 - 2^{x}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sqrt (- 1 (exp2 x)))"
  :precision binary64
  (sqrt (- 1.0 (exp2 x))))