Average Error: 21.3 → 21.3
Time: 1.4s
Precision: binary64
\[\sqrt{{b}^{2} - a}\]
↓
\[\sqrt{{b}^{2} - a}\]
\sqrt{{b}^{2} - a}
↓
\sqrt{{b}^{2} - a}
double code(double b, double a) {
	return ((double) sqrt(((double) (((double) pow(b, 2.0)) - a))));
}
↓
double code(double b, double a) {
	return ((double) sqrt(((double) (((double) pow(b, 2.0)) - 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 21.3

    \[\sqrt{{b}^{2} - a}\]

  2. Final simplification21.3

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

Reproduce

herbie shell --seed 2020152 
(FPCore (b a)
  :name "(sqrt (- (pow b 2) a))"
  :precision binary64
  (sqrt (- (pow b 2.0) a)))