Average Error: 0.2 → 0.2
Time: 950.0ms
Precision: binary64
\[\left\lceil\frac{\frac{1}{x} \cdot x}{\sqrt{x}}\right\rceil\]
↓
\[\left\lceil\frac{\frac{1}{x} \cdot x}{\sqrt{x}}\right\rceil\]
\left\lceil\frac{\frac{1}{x} \cdot x}{\sqrt{x}}\right\rceil
↓
\left\lceil\frac{\frac{1}{x} \cdot x}{\sqrt{x}}\right\rceil
double code(double x) {
	return ((double) ceil(((double) (((double) (((double) (1.0 / x)) * x)) / ((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) ceil(((double) (((double) (((double) (1.0 / x)) * x)) / ((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 0.2

    \[\left\lceil\frac{\frac{1}{x} \cdot x}{\sqrt{x}}\right\rceil\]

  2. Final simplification0.2

    \[\leadsto \left\lceil\frac{\frac{1}{x} \cdot x}{\sqrt{x}}\right\rceil\]

Reproduce

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