Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
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\[\]
double code(double x, double y) {
	return ((double) (((double) (x + y)) * ((double) (x + y))));
}
double code(double x, double y) {
	return ((double) (((double) (x * ((double) (x + ((double) (y + 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
\[\]

Derivation

  1. Initial program 0.0

    \[\]
  2. Using strategy rm
  3. Applied distribute-lft-in0.0

    \[\leadsto \]
  4. Simplified0.0

    \[\leadsto \]
  5. Simplified0.0

    \[\leadsto \]
  6. Using strategy rm
  7. Applied distribute-lft-in0.0

    \[\leadsto \]
  8. Applied associate-+r+0.0

    \[\leadsto \]
  9. Simplified0.0

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y)
  :name "Examples.Basics.BasicTests:f3 from sbv-4.4"
  :precision binary64

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

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