Average Error: 23.6 → 23.6
Time: 1.1s
Precision: binary64
\[\frac{\sqrt{{a}^{2} + 4} - a}{2}\]
↓
\[\frac{\sqrt{{a}^{2} + 4} - a}{2}\]
\frac{\sqrt{{a}^{2} + 4} - a}{2}
↓
\frac{\sqrt{{a}^{2} + 4} - a}{2}
double code(double a) {
	return ((double) (((double) (((double) sqrt(((double) (((double) pow(a, 2.0)) + 4.0)))) - a)) / 2.0));
}
↓
double code(double a) {
	return ((double) (((double) (((double) sqrt(((double) (((double) pow(a, 2.0)) + 4.0)))) - a)) / 2.0));
}

Error

Bits error versus a

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.6

    \[\frac{\sqrt{{a}^{2} + 4} - a}{2}\]

  2. Final simplification23.6

    \[\leadsto \frac{\sqrt{{a}^{2} + 4} - a}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a)
  :name "(/ (- (sqrt (+ (pow a 2) 4)) a) 2)"
  :precision binary64
  (/ (- (sqrt (+ (pow a 2.0) 4.0)) a) 2.0))