Average Error: 32.4 → 32.4
Time: 1.2s
Precision: binary64
\[\sqrt{{a}^{2} - 1}\]
↓
\[\sqrt{{a}^{2} - 1}\]
\sqrt{{a}^{2} - 1}
↓
\sqrt{{a}^{2} - 1}
double code(double a) {
	return ((double) sqrt(((double) (((double) pow(a, 2.0)) - 1.0))));
}
↓
double code(double a) {
	return ((double) sqrt(((double) (((double) pow(a, 2.0)) - 1.0))));
}

Error

Bits error versus a

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 32.4

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

  2. Final simplification32.4

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

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(sqrt (- (pow a 2) 1))"
  :precision binary64
  (sqrt (- (pow a 2.0) 1.0)))