
Preprocessing Cost Relations
=====================================

#### Computed strongly connected components 
0. non_recursive  : [f13/19]
1. recursive  : [f23/8]
2. recursive  : [f33/13]
3. recursive  : [f46/17]
4. recursive  : [f60/18]
5. recursive  : [f17/37,f23_loop_cont/38,f33_loop_cont/38,f46_loop_cont/38,f60_loop_cont/38]
6. non_recursive  : [exit_location/1]
7. non_recursive  : [f17_loop_cont/20]
8. non_recursive  : [f0/19]

#### Obtained direct recursion through partial evaluation 
0. SCC is completely evaluated into other SCCs
1. SCC is partially evaluated into f23/8
2. SCC is partially evaluated into f33/13
3. SCC is partially evaluated into f46/17
4. SCC is partially evaluated into f60/18
5. SCC is partially evaluated into f17/37
6. SCC is completely evaluated into other SCCs
7. SCC is partially evaluated into f17_loop_cont/20
8. SCC is partially evaluated into f0/19

Control-Flow Refinement of Cost Relations
=====================================

### Specialization of cost equations f23/8 
* CE 16 is refined into CE [30] 
* CE 15 is refined into CE [31] 
* CE 18 is refined into CE [32] 
* CE 17 is refined into CE [33] 
* CE 14 is refined into CE [34] 


### Cost equations --> "Loop" of f23/8 
* CEs [34] --> Loop 27 
* CEs [30] --> Loop 28 
* CEs [31] --> Loop 29 
* CEs [32] --> Loop 30 
* CEs [33] --> Loop 31 

### Ranking functions of CR f23(B,D,E,F,W,X,Y,Z) 
* RF of phase [27]: [B-F+1]

#### Partial ranking functions of CR f23(B,D,E,F,W,X,Y,Z) 
* Partial RF of phase [27]:
  - RF of loop [27:1]:
    B-F+1


### Specialization of cost equations f33/13 
* CE 21 is refined into CE [35] 
* CE 22 is refined into CE [36] 
* CE 20 is refined into CE [37] 
* CE 23 is refined into CE [38] 
* CE 19 is refined into CE [39] 


### Cost equations --> "Loop" of f33/13 
* CEs [39] --> Loop 32 
* CEs [35] --> Loop 33 
* CEs [36] --> Loop 34 
* CEs [37] --> Loop 35 
* CEs [38] --> Loop 36 

### Ranking functions of CR f33(A,B,C,F,G,H,I,W,X,Y,Z,A1,B1) 
* RF of phase [32]: [A-F+1,B-F+1,C-F]

#### Partial ranking functions of CR f33(A,B,C,F,G,H,I,W,X,Y,Z,A1,B1) 
* Partial RF of phase [32]:
  - RF of loop [32:1]:
    A-F+1
    B-F+1
    C-F


### Specialization of cost equations f46/17 
* CE 25 is refined into CE [40] 
* CE 26 is refined into CE [41] 
* CE 24 is refined into CE [42] 


### Cost equations --> "Loop" of f46/17 
* CEs [42] --> Loop 37 
* CEs [40] --> Loop 38 
* CEs [41] --> Loop 39 

### Ranking functions of CR f46(B,F,G,H,I,J,K,Q,R,W,X,Y,Z,A1,B1,C1,D1) 
* RF of phase [37]: [B-F+1]

#### Partial ranking functions of CR f46(B,F,G,H,I,J,K,Q,R,W,X,Y,Z,A1,B1,C1,D1) 
* Partial RF of phase [37]:
  - RF of loop [37:1]:
    B-F+1


### Specialization of cost equations f60/18 
* CE 29 is refined into CE [43] 
* CE 28 is refined into CE [44] 
* CE 27 is refined into CE [45] 


### Cost equations --> "Loop" of f60/18 
* CEs [45] --> Loop 40 
* CEs [43] --> Loop 41 
* CEs [44] --> Loop 42 

### Ranking functions of CR f60(B,F,J,K,L,M,N,O,P,W,X,Y,Z,A1,B1,C1,D1,E1) 
* RF of phase [40]: [-F+J+1]

#### Partial ranking functions of CR f60(B,F,J,K,L,M,N,O,P,W,X,Y,Z,A1,B1,C1,D1,E1) 
* Partial RF of phase [40]:
  - RF of loop [40:1]:
    -F+J+1


### Specialization of cost equations f17/37 
* CE 8 is refined into CE [46,47,48,49,50,51] 
* CE 10 is refined into CE [52] 
* CE 4 is refined into CE [53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70] 
* CE 6 is refined into CE [71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94] 
* CE 7 is refined into CE [95,96,97,98,99,100,101,102,103] 
* CE 9 is refined into CE [104,105] 
* CE 11 is refined into CE [106] 
* CE 5 is refined into CE [107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130] 


### Cost equations --> "Loop" of f17/37 
* CEs [122] --> Loop 43 
* CEs [118] --> Loop 44 
* CEs [130] --> Loop 45 
* CEs [126] --> Loop 46 
* CEs [120] --> Loop 47 
* CEs [116] --> Loop 48 
* CEs [128] --> Loop 49 
* CEs [124] --> Loop 50 
* CEs [129] --> Loop 51 
* CEs [125] --> Loop 52 
* CEs [121] --> Loop 53 
* CEs [117] --> Loop 54 
* CEs [127] --> Loop 55 
* CEs [123] --> Loop 56 
* CEs [119] --> Loop 57 
* CEs [115] --> Loop 58 
* CEs [110] --> Loop 59 
* CEs [114] --> Loop 60 
* CEs [108] --> Loop 61 
* CEs [112] --> Loop 62 
* CEs [113] --> Loop 63 
* CEs [109] --> Loop 64 
* CEs [111] --> Loop 65 
* CEs [107] --> Loop 66 
* CEs [52] --> Loop 67 
* CEs [51] --> Loop 68 
* CEs [50] --> Loop 69 
* CEs [49] --> Loop 70 
* CEs [48] --> Loop 71 
* CEs [47] --> Loop 72 
* CEs [46] --> Loop 73 
* CEs [104] --> Loop 74 
* CEs [57,58,65,66,69,70,77,78,89,90,93,94] --> Loop 75 
* CEs [96,97,100,101,102,103,105] --> Loop 76 
* CEs [54,60,62,73,74,81,82,85,86] --> Loop 77 
* CEs [95,98,99] --> Loop 78 
* CEs [55,56,63,64,67,68,75,76,87,88,91,92] --> Loop 79 
* CEs [53,59,61,71,72,79,80,83,84] --> Loop 80 
* CEs [106] --> Loop 81 

### Ranking functions of CR f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1) 
* RF of phase [45,46,51,52,60,63]: [A-B-1]

#### Partial ranking functions of CR f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1) 
* Partial RF of phase [45,46,51,52,60,63]:
  - RF of loop [45:1,46:1,51:1,52:1,60:1,63:1]:
    A-B-1


### Specialization of cost equations f17_loop_cont/20 
* CE 12 is refined into CE [131] 
* CE 13 is refined into CE [132] 


### Cost equations --> "Loop" of f17_loop_cont/20 
* CEs [131] --> Loop 82 
* CEs [132] --> Loop 83 

### Ranking functions of CR f17_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 

#### Partial ranking functions of CR f17_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 


### Specialization of cost equations f0/19 
* CE 3 is refined into CE [133,134,135,136,137,138,139,140,141,142] 
* CE 2 is refined into CE [143,144] 
* CE 1 is refined into CE [145] 


### Cost equations --> "Loop" of f0/19 
* CEs [136] --> Loop 84 
* CEs [135,138,141,142] --> Loop 85 
* CEs [133,134] --> Loop 86 
* CEs [143,144] --> Loop 87 
* CEs [137,139,140] --> Loop 88 
* CEs [145] --> Loop 89 

### Ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W) 

#### Partial ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W) 


Computing Bounds
=====================================

#### Cost of chains of f23(B,D,E,F,W,X,Y,Z):
* Chain [[27],31]: 1*it(27)+0
  Such that:it(27) =< B-F+1

  with precondition: [W=7,Y=0,Z=1,F>=1,B>=F] 

* Chain [[27],30]: 1*it(27)+0
  Such that:it(27) =< B-F+1

  with precondition: [W=3,F>=1,B>=F] 

* Chain [[27],29]: 1*it(27)+0
  Such that:it(27) =< B-F+1

  with precondition: [W=7,Z=1,0>=Y+1,F>=1,B>=F] 

* Chain [[27],28]: 1*it(27)+0
  Such that:it(27) =< B-F+1

  with precondition: [W=7,Z=1,F>=1,Y>=1,B>=F] 

* Chain [31]: 0
  with precondition: [E=0,W=7,Y=0,Z=1,X=D,F>=1,F>=B+1] 

* Chain [30]: 0
  with precondition: [W=3,F>=1] 

* Chain [29]: 0
  with precondition: [W=7,Z=1,X=D,E=Y,0>=E+1,F>=1,F>=B+1] 

* Chain [28]: 0
  with precondition: [W=7,Z=1,X=D,E=Y,E>=1,F>=1,F>=B+1] 


#### Cost of chains of f33(A,B,C,F,G,H,I,W,X,Y,Z,A1,B1):
* Chain [[32],36]: 1*it(32)+0
  Such that:it(32) =< C-F

  with precondition: [W=3,C=B+1,A+1>=C,C>=F+1] 

* Chain [[32],35]: 1*it(32)+0
  Such that:it(32) =< A-F

  with precondition: [W=5,A=B+1,A=C,A=X,A=Y,G=Z,H=A1,I=B1,A>=F+1] 

* Chain [[32],34]: 1*it(32)+0
  Such that:it(32) =< A-F+1

  with precondition: [W=6,Y=1,A=B,A+1=C,A+1=X,A>=F] 

* Chain [[32],33]: 1*it(32)+0
  Such that:it(32) =< -F+X

  with precondition: [W=6,Y=1,B+1=C,B+1=X,A>=B+2,B>=F] 

* Chain [36]: 0
  with precondition: [W=3,C=B+1,A+1>=C] 

* Chain [35]: 0
  with precondition: [W=5,B+1=A,B+1=C,Z=G,A1=H,B1=I,B+1=X,F=Y,F>=B+1] 

* Chain [34]: 0
  with precondition: [W=6,Y=1,B=A,B+1=C,B+1=X,F>=B+1] 

* Chain [33]: 0
  with precondition: [W=6,Y=1,B+1=C,B+1=X,A>=B+2,F>=B+1] 


#### Cost of chains of f46(B,F,G,H,I,J,K,Q,R,W,X,Y,Z,A1,B1,C1,D1):
* Chain [[37],39]: 1*it(37)+0
  Such that:it(37) =< B-F+1

  with precondition: [W=3,B>=F] 

* Chain [[37],38]: 1*it(37)+0
  Such that:it(37) =< B-F+1

  with precondition: [W=4,X=1,B>=F] 

* Chain [39]: 0
  with precondition: [W=3] 

* Chain [38]: 0
  with precondition: [W=4,X=1,Y=G,Z=H,A1=I,F>=B+1] 


#### Cost of chains of f60(B,F,J,K,L,M,N,O,P,W,X,Y,Z,A1,B1,C1,D1,E1):
* Chain [[40],42]: 1*it(40)+0
  Such that:it(40) =< -F+Y

  with precondition: [W=2,B+1=X,J+1=Y,F+K=J+Z+1,F+K=J+E1,J>=F,B>=K] 

* Chain [[40],41]: 1*it(40)+0
  Such that:it(40) =< -F+J+1

  with precondition: [W=3,J>=F,B>=K] 

* Chain [42]: 0
  with precondition: [W=2,A1=L,B1=M,C1=N,D1=O,E1=P,B+1=X,F=Y,K=Z,F>=J+1,B>=K] 

* Chain [41]: 0
  with precondition: [W=3,B>=K] 


#### Cost of chains of f17(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1):
* Chain [[45,46,51,52,60,63],81]: 6*it(45)+3*s(37)+3*s(38)+12*s(40)+3*s(50)+0
  Such that:aux(7) =< A
aux(18) =< A-B
it(45) =< aux(18)
aux(15) =< aux(7)-1
aux(9) =< aux(7)
s(39) =< it(45)*aux(7)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=3,B>=1,A>=B+2] 

* Chain [[45,46,51,52,60,63],76]: 6*it(45)+3*s(37)+3*s(38)+12*s(40)+3*s(50)+10*s(52)+0
  Such that:aux(23) =< A
aux(24) =< A-B
s(52) =< aux(23)
it(45) =< aux(24)
aux(15) =< aux(23)-1
aux(9) =< aux(23)
s(39) =< it(45)*aux(23)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=3,B>=1,A>=B+2] 

* Chain [[45,46,51,52,60,63],75]: 6*it(45)+3*s(37)+6*s(38)+12*s(40)+3*s(50)+33*s(62)+0
  Such that:aux(38) =< A
aux(39) =< A-B
s(62) =< aux(38)
it(45) =< aux(39)
aux(15) =< aux(38)-1
aux(9) =< aux(38)
s(39) =< it(45)*aux(38)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=3,B>=1,A>=B+3] 

* Chain [[45,46,51,52,60,63],74]: 6*it(45)+3*s(37)+3*s(38)+12*s(40)+3*s(50)+0
  Such that:aux(7) =< A
aux(40) =< A-B
it(45) =< aux(40)
aux(15) =< aux(7)-1
aux(9) =< aux(7)
s(39) =< it(45)*aux(7)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=3,B>=1,A>=B+2] 

* Chain [[45,46,51,52,60,63],72]: 6*it(45)+3*s(37)+3*s(38)+12*s(40)+3*s(50)+2*s(98)+0
  Such that:aux(17) =< -B+Y
aux(16) =< -B+Y+1
aux(41) =< Y
aux(7) =< Y+1
s(98) =< aux(41)
it(45) =< aux(16)
it(45) =< aux(17)
aux(15) =< aux(7)-1
aux(9) =< aux(7)
s(39) =< it(45)*aux(7)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=5,B1=0,A=X,A=Y+1,A=Z,A=C1,B>=1,A>=B+2,A>=H1+2,A>=G1+H1+2] 

* Chain [[45,46,51,52,60,63],69]: 6*it(45)+3*s(37)+3*s(38)+12*s(40)+3*s(50)+2*s(100)+0
  Such that:aux(43) =< -B+X
aux(44) =< X
s(100) =< aux(44)
it(45) =< aux(43)
aux(15) =< aux(44)-1
aux(9) =< aux(44)
s(39) =< it(45)*aux(44)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=5,A=X,A=Y+1,A=Z,A=C1,0>=B1+1,B>=1,A>=B+2,A>=H1+2,A>=G1+H1+2] 

* Chain [[45,46,51,52,60,63],68]: 6*it(45)+3*s(37)+3*s(38)+12*s(40)+3*s(50)+2*s(102)+0
  Such that:aux(17) =< -B+Y
aux(16) =< -B+Y+1
aux(45) =< Y
aux(7) =< Y+1
s(102) =< aux(45)
it(45) =< aux(16)
it(45) =< aux(17)
aux(15) =< aux(7)-1
aux(9) =< aux(7)
s(39) =< it(45)*aux(7)
s(51) =< it(45)*aux(15)
s(42) =< it(45)*aux(9)
s(50) =< s(51)
s(40) =< s(42)
s(37) =< s(39)

  with precondition: [W=5,A=X,A=Y+1,A=Z,A=C1,B>=1,B1>=1,A>=B+2,A>=H1+2,A>=G1+H1+2] 

* Chain [81]: 0
  with precondition: [W=3,B>=1] 

* Chain [79]: 1*aux(59)+0
  with precondition: [A=1,B=1,W=3] 

* Chain [76]: 10*s(52)+0
  Such that:aux(22) =< B
s(52) =< aux(22)

  with precondition: [W=3,B>=1,A>=B] 

* Chain [75]: 33*s(62)+3*s(80)+0
  Such that:aux(37) =< B
s(62) =< aux(37)

  with precondition: [W=3,B>=1,A>=B+2] 

* Chain [74]: 0
  with precondition: [W=3,B>=1,A>=B] 

* Chain [72]: 2*s(98)+0
  Such that:aux(41) =< B
s(98) =< aux(41)

  with precondition: [W=5,B1=0,B+1=A,D1=G,E1=H,F1=I,G1=J,H1=K,I1=L,J1=M,K1=N,L1=O,M1=P,N1=Q,O1=R,B+1=X,B=Y,B+1=Z,B+1=C1,B>=1] 

* Chain [69]: 2*s(100)+0
  Such that:aux(42) =< B
s(100) =< aux(42)

  with precondition: [W=5,B+1=A,D1=G,E1=H,F1=I,G1=J,H1=K,I1=L,J1=M,K1=N,L1=O,M1=P,N1=Q,O1=R,B+1=X,B=Y,B+1=Z,B+1=C1,0>=B1+1,B>=1] 

* Chain [68]: 2*s(102)+0
  Such that:aux(45) =< B
s(102) =< aux(45)

  with precondition: [W=5,B+1=A,D1=G,E1=H,F1=I,G1=J,H1=K,I1=L,J1=M,K1=N,L1=O,M1=P,N1=Q,O1=R,B+1=X,B=Y,B+1=Z,B+1=C1,B>=1,B1>=1] 

* Chain [67]: 0
  with precondition: [W=5,Z=C,A1=D,B1=E,C1=F,D1=G,E1=H,F1=I,G1=J,H1=K,I1=L,J1=M,K1=N,L1=O,M1=P,N1=Q,O1=R,A=X,B=Y,2>=B,B>=1,B>=A+1] 

* Chain [65,81]: 3*s(140)+1
  Such that:aux(60) =< 1
s(140) =< aux(60)

  with precondition: [A=1,B=1,W=3] 

* Chain [65,67]: 3*s(140)+1
  Such that:aux(60) =< 1
s(140) =< aux(60)

  with precondition: [A=1,B=1,W=5,X=1,Y=2,Z=2,B1=0,C1=1,H1=1,L=I1,M=J1,N=K1,O=L1,P=M1,0>=G1] 

* Chain [62,81]: 3*s(143)+1*s(146)+1
  Such that:aux(61) =< 1
s(143) =< aux(61)

  with precondition: [A=1,B=1,W=3] 

* Chain [62,67]: 3*s(143)+1*s(146)+1
  Such that:aux(61) =< 1
s(146) =< -M1+2
s(143) =< aux(61)

  with precondition: [A=1,B=1,W=5,X=1,Y=2,Z=2,B1=0,C1=G1+1,C1+H1=2,C1+M1=3,C1>=2] 

* Chain [56,81]: 3*s(147)+1
  Such that:aux(62) =< 1
s(147) =< aux(62)

  with precondition: [A=1,B=1,W=3] 

* Chain [56,67]: 3*s(147)+1
  Such that:aux(62) =< 1
s(147) =< aux(62)

  with precondition: [A=1,B=1,W=5,X=1,Y=2,Z=2,C1=1,H1=1,L=I1,M=J1,N=K1,O=L1,P=M1,0>=B1+1,0>=G1] 

* Chain [55,81]: 3*s(150)+1
  Such that:aux(63) =< 1
s(150) =< aux(63)

  with precondition: [A=1,B=1,W=3] 

* Chain [55,67]: 3*s(150)+1
  Such that:aux(63) =< 1
s(150) =< aux(63)

  with precondition: [A=1,B=1,W=5,X=1,Y=2,Z=2,C1=1,H1=1,L=I1,M=J1,N=K1,O=L1,P=M1,0>=G1,B1>=1] 

* Chain [50,81]: 3*s(153)+1*s(156)+1
  Such that:aux(64) =< 1
s(153) =< aux(64)

  with precondition: [A=1,B=1,W=3] 

* Chain [50,67]: 3*s(153)+1*s(156)+1
  Such that:aux(64) =< 1
s(156) =< -M1+2
s(153) =< aux(64)

  with precondition: [A=1,B=1,W=5,X=1,Y=2,Z=2,C1=G1+1,C1+H1=2,C1+M1=3,0>=B1+1,C1>=2] 

* Chain [49,81]: 3*s(157)+1*s(160)+1
  Such that:aux(65) =< 1
s(157) =< aux(65)

  with precondition: [A=1,B=1,W=3] 

* Chain [49,67]: 3*s(157)+1*s(160)+1
  Such that:aux(65) =< 1
s(160) =< -M1+2
s(157) =< aux(65)

  with precondition: [A=1,B=1,W=5,X=1,Y=2,Z=2,C1=G1+1,C1+H1=2,C1+M1=3,B1>=1,C1>=2] 


#### Cost of chains of f17_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T):
* Chain [83]: 0
  with precondition: [A=3] 

* Chain [82]: 0
  with precondition: [A=5] 


#### Cost of chains of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W):
* Chain [89]: 0
  with precondition: [A=1] 

* Chain [88]: 6
  with precondition: [A=2] 

* Chain [87]: 0
  with precondition: [0>=A] 

* Chain [86]: 10
  with precondition: [A>=2] 

* Chain [85]: 52*s(230)+18*s(236)+72*s(237)+18*s(238)+33*s(240)+21*s(241)+0
  Such that:s(227) =< 1
aux(75) =< A
s(230) =< aux(75)
s(231) =< aux(75)-1
s(232) =< aux(75)
s(233) =< s(230)*aux(75)
s(234) =< s(230)*s(231)
s(235) =< s(230)*s(232)
s(236) =< s(234)
s(237) =< s(235)
s(238) =< s(233)
s(240) =< s(227)

  with precondition: [A>=3] 

* Chain [84]: 39*s(287)+3*s(294)+12*s(295)+3*s(296)+6*s(297)+0
  Such that:aux(76) =< A
s(287) =< aux(76)
s(289) =< aux(76)-1
s(290) =< aux(76)
s(291) =< s(287)*aux(76)
s(292) =< s(287)*s(289)
s(293) =< s(287)*s(290)
s(294) =< s(292)
s(295) =< s(293)
s(296) =< s(291)

  with precondition: [A>=4] 


Closed-form bounds of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W): 
-------------------------------------
* Chain [89] with precondition: [A=1] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [88] with precondition: [A=2] 
    - Upper bound: 6 
    - Complexity: constant 
* Chain [87] with precondition: [0>=A] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [86] with precondition: [A>=2] 
    - Upper bound: 10 
    - Complexity: constant 
* Chain [85] with precondition: [A>=3] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [84] with precondition: [A>=4] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,W): inf 
Asymptotic class: infinity 
* Total analysis performed in 2836 ms.

