Average Error: 1.9 → 1.9
Time: 6.0s
Precision: binary64
\[\frac{\frac{{x}^{\left(n - 1\right)}}{n - 1}}{\frac{{x}^{n}}{n}}\]
↓
\[\frac{\frac{{x}^{\left(n - 1\right)}}{n - 1}}{\frac{{x}^{n}}{n}}\]
\frac{\frac{{x}^{\left(n - 1\right)}}{n - 1}}{\frac{{x}^{n}}{n}}
↓
\frac{\frac{{x}^{\left(n - 1\right)}}{n - 1}}{\frac{{x}^{n}}{n}}
double code(double x, double n) {
	return ((double) (((double) (((double) pow(x, ((double) (n - 1.0)))) / ((double) (n - 1.0)))) / ((double) (((double) pow(x, n)) / n))));
}
↓
double code(double x, double n) {
	return ((double) (((double) (((double) pow(x, ((double) (n - 1.0)))) / ((double) (n - 1.0)))) / ((double) (((double) pow(x, n)) / n))));
}

Error

Bits error versus x

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.9

    \[\frac{\frac{{x}^{\left(n - 1\right)}}{n - 1}}{\frac{{x}^{n}}{n}}\]

  2. Final simplification1.9

    \[\leadsto \frac{\frac{{x}^{\left(n - 1\right)}}{n - 1}}{\frac{{x}^{n}}{n}}\]

Reproduce

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