Average Error: 0.0 → 0.0
Time: 1.2s
Precision: binary64
\[\]
\[\]
double code(double x, double y) {
	return ((double) (((double) (((double) (x * x)) + ((double) (((double) (x * 2.0)) * y)))) + ((double) (y * y))));
}
double code(double x, double y) {
	return ((double) (((double) (x * ((double) (x + ((double) (2.0 * y)))))) + ((double) (y * 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
Target0.0
Herbie0.0
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Derivation

  1. Initial program 0.0

    \[\]
  2. Taylor expanded around 0 0.0

    \[\leadsto \]
  3. Simplified0.0

    \[\leadsto \]
  4. Final simplification0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y)
  :name "Examples.Basics.ProofTests:f4 from sbv-4.4"
  :precision binary64

  :herbie-target
  (+ (* x x) (+ (* y y) (* (* x y) 2.0)))

  (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))