Average Error: 27.7 → 27.7
Time: 4.8s
Precision: binary64
\[{\left(x + 1\right)}^{n} - {x}^{n}\]
↓
\[{\left(x + 1\right)}^{n} - {x}^{n}\]
{\left(x + 1\right)}^{n} - {x}^{n}
↓
{\left(x + 1\right)}^{n} - {x}^{n}
double code(double x, double n) {
	return ((double) (((double) pow(((double) (x + 1.0)), n)) - ((double) pow(x, n))));
}
↓
double code(double x, double n) {
	return ((double) (((double) pow(((double) (x + 1.0)), n)) - ((double) pow(x, 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 27.7

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

  2. Final simplification27.7

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

Reproduce

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