Average Error: 15.0 → 15.0
Time: 840.0ms
Precision: binary64
\[\frac{1}{1 - \sqrt{{x}^{2}}}\]
↓
\[\frac{1}{1 - \sqrt{{x}^{2}}}\]
\frac{1}{1 - \sqrt{{x}^{2}}}
↓
\frac{1}{1 - \sqrt{{x}^{2}}}
double code(double x) {
	return ((double) (1.0 / ((double) (1.0 - ((double) sqrt(((double) pow(x, 2.0))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) (1.0 - ((double) sqrt(((double) pow(x, 2.0))))))));
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.0

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

  2. Final simplification15.0

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

Reproduce

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