Average Error: 59.6 → 59.6
Time: 2.6s
Precision: binary64
\[\sqrt{2 - \sqrt{4 - {sn}^{2}}}\]
↓
\[\sqrt{2 - \sqrt{4 - {sn}^{2}}}\]
\sqrt{2 - \sqrt{4 - {sn}^{2}}}
↓
\sqrt{2 - \sqrt{4 - {sn}^{2}}}
double code(double sn) {
	return ((double) sqrt(((double) (2.0 - ((double) sqrt(((double) (4.0 - ((double) pow(sn, 2.0))))))))));
}
↓
double code(double sn) {
	return ((double) sqrt(((double) (2.0 - ((double) sqrt(((double) (4.0 - ((double) pow(sn, 2.0))))))))));
}

Error

Bits error versus sn

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.6

    \[\sqrt{2 - \sqrt{4 - {sn}^{2}}}\]

  2. Final simplification59.6

    \[\leadsto \sqrt{2 - \sqrt{4 - {sn}^{2}}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (sn)
  :name "(sqrt (- 2 (sqrt (- 4 (pow sn 2)))))"
  :precision binary64
  (sqrt (- 2.0 (sqrt (- 4.0 (pow sn 2.0))))))