Average Error: 38.0 → 38.0
Time: 5.2s
Precision: binary64
\[{\left(1 + x\right)}^{\alpha} - 1\]
↓
\[{\left(1 + x\right)}^{\alpha} - 1\]
{\left(1 + x\right)}^{\alpha} - 1
↓
{\left(1 + x\right)}^{\alpha} - 1
double code(double x, double alpha) {
	return ((double) (((double) pow(((double) (1.0 + x)), alpha)) - 1.0));
}
↓
double code(double x, double alpha) {
	return ((double) (((double) pow(((double) (1.0 + x)), alpha)) - 1.0));
}

Error

Bits error versus x

Bits error versus alpha

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 38.0

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

  2. Final simplification38.0

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

Reproduce

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