Average Error: 12.6 → 12.5
Time: 1.6s
Precision: binary64
\[\frac{1}{\frac{{x}^{2} \cdot 1}{\sqrt{x}}}\]
↓
\[\frac{\sqrt{x}}{{x}^{2}}\]
\frac{1}{\frac{{x}^{2} \cdot 1}{\sqrt{x}}}
↓
\frac{\sqrt{x}}{{x}^{2}}
double code(double x) {
	return ((double) (1.0 / ((double) (((double) (((double) pow(x, 2.0)) * 1.0)) / ((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(x)) / ((double) pow(x, 2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 12.6

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

  2. Simplified12.5

    \[\leadsto \color{blue}{\frac{\sqrt{x}}{{x}^{2}}}\]

  3. Final simplification12.5

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

Reproduce

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