YES 2.036
↳ HASKELL
↳ BR
((foldFM_GE :: (Int -> a -> b -> b) -> b -> Int -> FiniteMap Int a -> b) :: (Int -> a -> b -> b) -> b -> Int -> FiniteMap Int a -> b) |
import qualified Maybe import qualified Prelude |
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data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) |
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instance (Eq a, Eq b) => Eq (FiniteMap b a) where |
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foldFM_GE :: Ord b => (b -> a -> c -> c) -> c -> b -> FiniteMap b a -> c
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import qualified FiniteMap import qualified Prelude |
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
((foldFM_GE :: (Int -> a -> b -> b) -> b -> Int -> FiniteMap Int a -> b) :: (Int -> a -> b -> b) -> b -> Int -> FiniteMap Int a -> b) |
import qualified Maybe import qualified Prelude |
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data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b) |
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instance (Eq a, Eq b) => Eq (FiniteMap a b) where |
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foldFM_GE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b
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import qualified FiniteMap import qualified Prelude |
foldFM_GE k z fr EmptyFM = z foldFM_GE k z fr (Branch key elt vw fm_l fm_r)
| key >= fr
= foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l | otherwise
= foldFM_GE k z fr fm_r
foldFM_GE k z fr EmptyFM = foldFM_GE3 k z fr EmptyFM foldFM_GE k z fr (Branch key elt vw fm_l fm_r) = foldFM_GE2 k z fr (Branch key elt vw fm_l fm_r)
foldFM_GE0 k z fr key elt vw fm_l fm_r True = foldFM_GE k z fr fm_r
foldFM_GE1 k z fr key elt vw fm_l fm_r True = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l foldFM_GE1 k z fr key elt vw fm_l fm_r False = foldFM_GE0 k z fr key elt vw fm_l fm_r otherwise
foldFM_GE2 k z fr (Branch key elt vw fm_l fm_r) = foldFM_GE1 k z fr key elt vw fm_l fm_r (key >= fr)
foldFM_GE3 k z fr EmptyFM = z foldFM_GE3 wv ww wx wy = foldFM_GE2 wv ww wx wy
undefined
| False
= undefined
undefined = undefined1
undefined0 True = undefined
undefined1 = undefined0 False
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ Narrow
(foldFM_GE :: (Int -> b -> a -> a) -> a -> Int -> FiniteMap Int b -> a) |
import qualified Maybe import qualified Prelude |
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data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) |
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instance (Eq a, Eq b) => Eq (FiniteMap a b) where |
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foldFM_GE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c
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import qualified FiniteMap import qualified Prelude |
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ Narrow
↳ QDP
↳ DependencyGraphProof
new_foldFM_GE(wz3, Pos(Succ(wz500)), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE1(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz6000, wz500, bb, bc)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz155, h, ba)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz156, h, ba)
new_foldFM_GE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz166, bd, be)
new_foldFM_GE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz155, h, ba)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz167, bd, be)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz167, bd, be)
new_foldFM_GE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz64, bb, bc)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Zero, h, ba) → new_foldFM_GE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Succ(wz1580), h, ba) → new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, wz1570, wz1580, h, ba)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz64, bb, bc)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz166, bd, be)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Zero, bd, be) → new_foldFM_GE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be)
new_foldFM_GE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz167, bd, be)
new_foldFM_GE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz63, bb, bc)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Succ(wz1690), bd, be) → new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, wz1680, wz1690, bd, be)
new_foldFM_GE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(wz50), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE11(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz500, wz6000, bb, bc)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz156, h, ba)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz156, h, ba)
new_foldFM_GE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(wz50), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(wz50), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz64, bb, bc)
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ Narrow
↳ QDP
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ QDPSizeChangeProof
↳ QDP
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz64, bb, bc)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz166, bd, be)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Zero, bd, be) → new_foldFM_GE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be)
new_foldFM_GE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz167, bd, be)
new_foldFM_GE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz166, bd, be)
new_foldFM_GE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz63, bb, bc)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Succ(wz1690), bd, be) → new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, wz1680, wz1690, bd, be)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz167, bd, be)
new_foldFM_GE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) → new_foldFM_GE(wz160, Neg(Succ(wz162)), wz167, bd, be)
new_foldFM_GE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(wz50), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE11(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz500, wz6000, bb, bc)
new_foldFM_GE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(wz50), wz63, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
new_foldFM_GE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Neg(Zero), wz64, bb, bc)
From the DPs we obtained the following set of size-change graphs:
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ Narrow
↳ QDP
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ QDP
↳ QDPSizeChangeProof
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Pos(Succ(wz500)), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE1(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz6000, wz500, bb, bc)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Zero, h, ba) → new_foldFM_GE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Succ(wz1580), h, ba) → new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, wz1570, wz1580, h, ba)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz155, h, ba)
new_foldFM_GE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
new_foldFM_GE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz156, h, ba)
new_foldFM_GE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz155, h, ba)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz156, h, ba)
new_foldFM_GE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) → new_foldFM_GE(wz149, Pos(Succ(wz151)), wz156, h, ba)
new_foldFM_GE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(wz50), wz64, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz64, bb, bc)
new_foldFM_GE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Zero), wz63, bb, bc)
new_foldFM_GE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) → new_foldFM_GE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
From the DPs we obtained the following set of size-change graphs: