Average Error: 1.8 → 1.8
Time: 13.5s
Precision: binary64
\[y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)}}\]
↓
\[y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)}}\]
y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)}}
↓
y - \frac{{y}^{n} - x}{n \cdot {y}^{\left(n - 1\right)}}
double code(double y, double n, double x) {
	return ((double) (y - ((double) (((double) (((double) pow(y, n)) - x)) / ((double) (n * ((double) pow(y, ((double) (n - 1.0))))))))));
}
↓
double code(double y, double n, double x) {
	return ((double) (y - ((double) (((double) (((double) pow(y, n)) - x)) / ((double) (n * ((double) pow(y, ((double) (n - 1.0))))))))));
}

Error

Bits error versus y

Bits error versus n

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.8

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

  2. Final simplification1.8

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

Reproduce

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