Average Error: 27.7 → 27.7
Time: 4.9s
Precision: binary64
\[{\left(x + 1\right)}^{a} - {x}^{a}\]
↓
\[{\left(x + 1\right)}^{a} - {x}^{a}\]
{\left(x + 1\right)}^{a} - {x}^{a}
↓
{\left(x + 1\right)}^{a} - {x}^{a}
double code(double x, double a) {
	return ((double) (((double) pow(((double) (x + 1.0)), a)) - ((double) pow(x, a))));
}
↓
double code(double x, double a) {
	return ((double) (((double) pow(((double) (x + 1.0)), a)) - ((double) pow(x, a))));
}

Error

Bits error versus x

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.7

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

  2. Final simplification27.7

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

Reproduce

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