Average Error: 0.0 → 0.0
Time: 638.0ms
Precision: binary64
\[2^{x - 1} - 2^{x}\]
↓
\[2^{x - 1} - 2^{x}\]
2^{x - 1} - 2^{x}
↓
2^{x - 1} - 2^{x}
double code(double x) {
	return ((double) (((double) exp2(((double) (x - 1.0)))) - ((double) exp2(x))));
}
↓
double code(double x) {
	return ((double) (((double) exp2(((double) (x - 1.0)))) - ((double) exp2(x))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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