Average Error: 62.0 → 52.0
Time: 1.6s
Precision: binary64
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double code(double x, double y) {
	return ((double) (((double) (9.0 * ((double) pow(x, 4.0)))) - ((double) (((double) (y * y)) * ((double) (((double) (y * y)) - 2.0))))));
}
double code(double x, double y) {
	return ((double) (((double) cbrt(((double) pow(((double) (((double) (9.0 * ((double) pow(x, 4.0)))) - ((double) pow(y, 4.0)))), 3.0)))) + ((double) (((double) (y * y)) * 2.0))));
}

Error

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.0

    \[\]
  2. Using strategy rm
  3. Applied sub-neg62.0

    \[\leadsto \]
  4. Applied distribute-lft-in62.0

    \[\leadsto \]
  5. Applied associate--r+52.0

    \[\leadsto \]
  6. Simplified52.0

    \[\leadsto \]
  7. Using strategy rm
  8. Applied add-cbrt-cube52.0

    \[\leadsto \]
  9. Simplified52.0

    \[\leadsto \]
  10. Final simplification52.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (x y)
  :name "From Rump in a 1983 paper, rewritten"
  :precision binary64
  :pre (and (== x 10864.0) (== y 18817.0))
  (- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0))))