Average Error: 0.0 → 0.0
Time: 590.0ms
Precision: binary64
\[\frac{a - b}{2} + b\]
↓
\[\frac{a - b}{2} + b\]
\frac{a - b}{2} + b
↓
\frac{a - b}{2} + b
double code(double a, double b) {
	return ((double) (((double) (((double) (a - b)) / 2.0)) + b));
}
↓
double code(double a, double b) {
	return ((double) (((double) (((double) (a - b)) / 2.0)) + 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 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(+ (/ (- a b) 2) b)"
  :precision binary64
  (+ (/ (- a b) 2.0) b))