Average Error: 0.3 → 0.3
Time: 818.0ms
Precision: binary64
\[\frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}\]
↓
\[\frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}\]
\frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}
↓
\frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}
double code(double x) {
	return ((double) (1.0 / ((double) sqrt(((double) (1.0 / ((double) sqrt(x))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) sqrt(((double) (1.0 / ((double) sqrt(x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[\frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}\]

  2. Final simplification0.3

    \[\leadsto \frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}\]

Reproduce

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