Average Error: 20.6 → 20.6
Time: 1.7s
Precision: binary64
\[\frac{1}{\sqrt{x \cdot \sqrt{x - 2}}}\]
↓
\[\frac{1}{\sqrt{x \cdot \sqrt{x - 2}}}\]
\frac{1}{\sqrt{x \cdot \sqrt{x - 2}}}
↓
\frac{1}{\sqrt{x \cdot \sqrt{x - 2}}}
double code(double x) {
	return ((double) (1.0 / ((double) sqrt(((double) (x * ((double) sqrt(((double) (x - 2.0))))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) sqrt(((double) (x * ((double) sqrt(((double) (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 20.6

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

  2. Final simplification20.6

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ 1 (sqrt (* x (sqrt (- x 2)))))"
  :precision binary64
  (/ 1.0 (sqrt (* x (sqrt (- x 2.0))))))