Average Error: 25.4 → 25.4
Time: 1.2s
Precision: binary64
\[2^{a} - 2^{b}\]
↓
\[2^{a} - 2^{b}\]
2^{a} - 2^{b}
↓
2^{a} - 2^{b}
double code(double a, double b) {
	return ((double) (((double) exp2(a)) - ((double) exp2(b))));
}
↓
double code(double a, double b) {
	return ((double) (((double) exp2(a)) - ((double) exp2(b))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 25.4

    \[2^{a} - 2^{b}\]

  2. Final simplification25.4

    \[\leadsto 2^{a} - 2^{b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(- (exp2 a) (exp2 b))"
  :precision binary64
  (- (exp2 a) (exp2 b)))