Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\sqrt{2 - {x}^{2}}\]
↓
\[\sqrt{2 - {x}^{2}}\]
\sqrt{2 - {x}^{2}}
↓
\sqrt{2 - {x}^{2}}
double code(double x) {
	return ((double) sqrt(((double) (2.0 - ((double) pow(x, 2.0))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (2.0 - ((double) pow(x, 2.0))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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