Average Error: 30.1 → 30.1
Time: 2.1s
Precision: binary64
\[1 - \sqrt{1 - {x}^{2}}\]
↓
\[1 - \sqrt{1 - {x}^{2}}\]
1 - \sqrt{1 - {x}^{2}}
↓
1 - \sqrt{1 - {x}^{2}}
double code(double x) {
	return ((double) (1.0 - ((double) sqrt(((double) (1.0 - ((double) pow(x, 2.0))))))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) sqrt(((double) (1.0 - ((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 30.1

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

  2. Final simplification30.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- 1 (sqrt (- 1 (pow x 2))))"
  :precision binary64
  (- 1.0 (sqrt (- 1.0 (pow x 2.0)))))