Average Error: 0.1 → 0.1
Time: 1.3s
Precision: binary64
\[\sqrt{2^{\left|b\right|} - a}\]
↓
\[\sqrt{2^{\left|b\right|} - a}\]
\sqrt{2^{\left|b\right|} - a}
↓
\sqrt{2^{\left|b\right|} - a}
double code(double b, double a) {
	return ((double) sqrt(((double) (((double) exp2(((double) fabs(b)))) - a))));
}
↓
double code(double b, double a) {
	return ((double) sqrt(((double) (((double) exp2(((double) fabs(b)))) - a))));
}

Error

Bits error versus b

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sqrt{2^{\left|b\right|} - a}\]

  2. Final simplification0.1

    \[\leadsto \sqrt{2^{\left|b\right|} - a}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b a)
  :name "(sqrt (- (exp2 (fabs b)) a))"
  :precision binary64
  (sqrt (- (exp2 (fabs b)) a)))