Average Error: 0.1 → 0.1
Time: 722.0ms
Precision: binary64
\[a + \frac{a - b}{2}\]
↓
\[a + \frac{a - b}{2}\]
a + \frac{a - b}{2}
↓
a + \frac{a - b}{2}
double code(double a, double b) {
	return ((double) (a + ((double) (((double) (a - b)) / 2.0))));
}
↓
double code(double a, double b) {
	return ((double) (a + ((double) (((double) (a - b)) / 2.0))));
}

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 0.1

    \[a + \frac{a - b}{2}\]

  2. Final simplification0.1

    \[\leadsto a + \frac{a - b}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(+ a (/ (- a b) 2))"
  :precision binary64
  (+ a (/ (- a b) 2.0)))