Average Error: 0.0 → 0.0
Time: 609.0ms
Precision: binary64
\[2^{x + 1} - 1\]
↓
\[2^{x + 1} - 1\]
2^{x + 1} - 1
↓
2^{x + 1} - 1
double code(double x) {
	return ((double) (((double) exp2(((double) (x + 1.0)))) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) exp2(((double) (x + 1.0)))) - 1.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[2^{x + 1} - 1\]

  2. Final simplification0.0

    \[\leadsto 2^{x + 1} - 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (exp2 (+ x 1)) 1)"
  :precision binary64
  (- (exp2 (+ x 1.0)) 1.0))