Average Error: 0.4 → 0.4
Time: 4.8s
Precision: binary64
\[y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)} - 1}\]
↓
\[y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)} - 1}\]
y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)} - 1}
↓
y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)} - 1}
double code(double y, double n, double x) {
	return ((double) (y - ((double) (((double) (((double) pow(y, n)) - x)) / ((double) (((double) (n * ((double) pow(y, ((double) (n - 1.0)))))) - 1.0))))));
}
↓
double code(double y, double n, double x) {
	return ((double) (y - ((double) (((double) (((double) pow(y, n)) - x)) / ((double) (((double) (n * ((double) pow(y, ((double) (n - 1.0)))))) - 1.0))))));
}

Error

Bits error versus y

Bits error versus n

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

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

  2. Final simplification0.4

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

Reproduce

herbie shell --seed 2020152 
(FPCore (y n x)
  :name "(- y (/ (- (pow y n) x) (- (* n (pow y (- n 1))) 1)))"
  :precision binary64
  (- y (/ (- (pow y n) x) (- (* n (pow y (- n 1.0))) 1.0))))