Average Error: 0.4 → 0.4
Time: 1.2s
Precision: binary64
\[2^{x \cdot v - y \cdot u}\]
↓
\[2^{x \cdot v - y \cdot u}\]
2^{x \cdot v - y \cdot u}
↓
2^{x \cdot v - y \cdot u}
double code(double x, double v, double y, double u) {
	return ((double) exp2(((double) (((double) (x * v)) - ((double) (y * u))))));
}
↓
double code(double x, double v, double y, double u) {
	return ((double) exp2(((double) (((double) (x * v)) - ((double) (y * u))))));
}

Error

Bits error versus x

Bits error versus v

Bits error versus y

Bits error versus u

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[2^{x \cdot v - y \cdot u}\]

  2. Final simplification0.4

    \[\leadsto 2^{x \cdot v - y \cdot u}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x v y u)
  :name "(exp2 (- (* x v) (* y u)))"
  :precision binary64
  (exp2 (- (* x v) (* y u))))