Average Error: 21.3 → 21.3
Time: 2.8s
Precision: binary64
\[\frac{2^{a} - 2^{c}}{b}\]
↓
\[\frac{2^{a} - 2^{c}}{b}\]
\frac{2^{a} - 2^{c}}{b}
↓
\frac{2^{a} - 2^{c}}{b}
double code(double a, double c, double b) {
	return ((double) (((double) (((double) exp2(a)) - ((double) exp2(c)))) / b));
}
↓
double code(double a, double c, double b) {
	return ((double) (((double) (((double) exp2(a)) - ((double) exp2(c)))) / b));
}

Error

Bits error versus a

Bits error versus c

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 21.3

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

  2. Final simplification21.3

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

Reproduce

herbie shell --seed 2020152 
(FPCore (a c b)
  :name "(/ (- (exp2 a) (exp2 c)) b)"
  :precision binary64
  (/ (- (exp2 a) (exp2 c)) b))