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

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.6

    \[\sqrt{2 - \sqrt{4 - x}}\]

  2. Final simplification59.6

    \[\leadsto \sqrt{2 - \sqrt{4 - x}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (- 2 (sqrt (- 4 x))))"
  :precision binary64
  (sqrt (- 2.0 (sqrt (- 4.0 x)))))