Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\sqrt{1 - {a}^{2}}\]
↓
\[\sqrt{1 - {a}^{2}}\]
\sqrt{1 - {a}^{2}}
↓
\sqrt{1 - {a}^{2}}
double code(double a) {
	return ((double) sqrt(((double) (1.0 - ((double) pow(a, 2.0))))));
}
↓
double code(double a) {
	return ((double) sqrt(((double) (1.0 - ((double) pow(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 0.0

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

  2. Final simplification0.0

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

Reproduce

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