Average Error: 0.0 → 0
Time: 1.1s
Precision: binary64
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\[\]
double code(double x, double y) {
	return ((double) (x + ((double) (((double) (y - x)) / 2.0))));
}
double code(double x, double y) {
	return ((double) (0.5 * ((double) (x + y))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0
Herbie0
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Derivation

  1. Initial program 0.0

    \[\]
  2. Taylor expanded around 0 0

    \[\leadsto \]
  3. Simplified0

    \[\leadsto \]
  4. Final simplification0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y)
  :name "Numeric.Interval.Internal:bisect from intervals-0.7.1, A"
  :precision binary64

  :herbie-target
  (* 0.5 (+ x y))

  (+ x (/ (- y x) 2.0)))