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

#### Computed strongly connected components 
0. recursive  : [eval3/6]
1. recursive  : [eval2/5,eval3_loop_cont/6,eval4/5]
2. non_recursive  : [exit_location/1]
3. non_recursive  : [eval2_loop_cont/2]
4. non_recursive  : [eval1/5]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into eval3/6
1. SCC is partially evaluated into eval2/5
2. SCC is completely evaluated into other SCCs
3. SCC is completely evaluated into other SCCs
4. SCC is partially evaluated into eval1/5

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

### Specialization of cost equations eval3/6 
* CE 13 is refined into CE [14] 
* CE 7 is refined into CE [15] 
* CE 8 is refined into CE [16] 
* CE 11 is refined into CE [17] 
* CE 9 is refined into CE [18] 
* CE 10 is refined into CE [19] 
* CE 12 is refined into CE [20] 


### Cost equations --> "Loop" of eval3/6 
* CEs [18] --> Loop 14 
* CEs [19] --> Loop 15 
* CEs [20] --> Loop 16 
* CEs [14] --> Loop 17 
* CEs [15] --> Loop 18 
* CEs [16] --> Loop 19 
* CEs [17] --> Loop 20 

### Ranking functions of CR eval3(B,C,D,E,F,G) 
* RF of phase [14,15]: [B-2*C]

#### Partial ranking functions of CR eval3(B,C,D,E,F,G) 
* Partial RF of phase [14,15]:
  - RF of loop [14:1]:
    B-2*C
    B-D
  - RF of loop [15:1]:
    B/3-2/3*C
    B/3-D/3


### Specialization of cost equations eval2/5 
* CE 3 is refined into CE [21,22,23,24] 
* CE 6 is refined into CE [25] 
* CE 4 is refined into CE [26,27,28,29,30,31] 
* CE 5 is refined into CE [32,33,34,35,36,37] 


### Cost equations --> "Loop" of eval2/5 
* CEs [31] --> Loop 21 
* CEs [30] --> Loop 22 
* CEs [27] --> Loop 23 
* CEs [28] --> Loop 24 
* CEs [26] --> Loop 25 
* CEs [29] --> Loop 26 
* CEs [33] --> Loop 27 
* CEs [34] --> Loop 28 
* CEs [32] --> Loop 29 
* CEs [36] --> Loop 30 
* CEs [37] --> Loop 31 
* CEs [35] --> Loop 32 
* CEs [24] --> Loop 33 
* CEs [23] --> Loop 34 
* CEs [22] --> Loop 35 
* CEs [21] --> Loop 36 
* CEs [25] --> Loop 37 

### Ranking functions of CR eval2(A,B,C,D,E) 
* RF of phase [21,22,23,24,25]: [A-1]
* RF of phase [27,28,29,30,31]: [B-2]

#### Partial ranking functions of CR eval2(A,B,C,D,E) 
* Partial RF of phase [21,22,23,24,25]:
  - RF of loop [21:1,22:1,23:1,24:1,25:1]:
    A-1
* Partial RF of phase [27,28,29,30,31]:
  - RF of loop [27:1,28:1]:
    B-4
  - RF of loop [29:1]:
    B-3
  - RF of loop [30:1,31:1]:
    B-2


### Specialization of cost equations eval1/5 
* CE 1 is refined into CE [38,39,40,41,42,43,44,45,46,47,48,49,50] 
* CE 2 is refined into CE [51,52,53,54,55,56,57,58,59] 


### Cost equations --> "Loop" of eval1/5 
* CEs [47] --> Loop 38 
* CEs [50] --> Loop 39 
* CEs [49] --> Loop 40 
* CEs [48] --> Loop 41 
* CEs [43] --> Loop 42 
* CEs [59] --> Loop 43 
* CEs [58] --> Loop 44 
* CEs [57] --> Loop 45 
* CEs [55] --> Loop 46 
* CEs [46] --> Loop 47 
* CEs [45] --> Loop 48 
* CEs [44] --> Loop 49 
* CEs [42] --> Loop 50 
* CEs [41] --> Loop 51 
* CEs [40] --> Loop 52 
* CEs [39] --> Loop 53 
* CEs [38] --> Loop 54 
* CEs [54] --> Loop 55 
* CEs [53] --> Loop 56 
* CEs [52] --> Loop 57 
* CEs [51,56] --> Loop 58 

### Ranking functions of CR eval1(A,B,C,D,E) 

#### Partial ranking functions of CR eval1(A,B,C,D,E) 


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

#### Cost of chains of eval3(B,C,D,E,F,G):
* Chain [[14,15],20]: 1*it(14)+1*it(15)+0
  Such that:it(15) =< -D/3+G/3
aux(5) =< -D+G
it(14) =< aux(5)
it(15) =< aux(5)

  with precondition: [E=2,D=2*C,B=2*F,B=G,D>=1,B>=2*D] 

* Chain [[14,15],19]: 1*it(14)+1*it(15)+0
  Such that:it(15) =< -2/3*C+G/3
aux(6) =< B-2*C
aux(7) =< -2*C+G
it(14) =< aux(6)
it(15) =< aux(6)
it(14) =< aux(7)
it(15) =< aux(7)

  with precondition: [E=2,D=2*C,2*F+1=G,D>=1,B>=2*F+1,F>=D] 

* Chain [[14,15],18]: 1*it(14)+1*it(15)+0
  Such that:it(15) =< -2/3*C+G/3
aux(8) =< B-2*C
aux(9) =< -2*C+G
it(14) =< aux(8)
it(15) =< aux(8)
it(14) =< aux(9)
it(15) =< aux(9)

  with precondition: [E=2,D=2*C,2*F=G,D>=1,B>=2*F+1,F>=D] 

* Chain [[14,15],17]: 1*it(14)+1*it(15)+0
  Such that:it(15) =< B/3-D/3
aux(10) =< B-D
aux(11) =< 2*B-D
it(14) =< aux(10)
it(15) =< aux(10)
it(14) =< aux(11)
it(15) =< aux(11)

  with precondition: [E=3,D=2*C,D>=1,B>=D+1] 

* Chain [[14,15],16,17]: 1*it(14)+1*it(15)+1
  Such that:it(15) =< B/3-D/3
aux(12) =< B-D
it(14) =< aux(12)
it(15) =< aux(12)

  with precondition: [E=3,D=2*C,D>=1,B>=2*D] 

* Chain [20]: 0
  with precondition: [E=2,2*C=B,2*C=D,C=F,2*C=G,C>=1] 

* Chain [19]: 0
  with precondition: [E=2,2*C=D,C=F,2*C+1=G,B>=2,B>=2*C+1] 

* Chain [18]: 0
  with precondition: [E=2,2*C=D,C=F,2*C=G,B>=2,B>=2*C+1] 

* Chain [17]: 0
  with precondition: [E=3,D=2*C,B>=2] 

* Chain [16,17]: 1
  with precondition: [E=3,B=2*C,B=D,B>=2] 


#### Cost of chains of eval2(A,B,C,D,E):
* Chain [[27,28,29,30,31],37]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+0
  Such that:aux(23) =< B
it(27) =< aux(23)
aux(14) =< aux(23)
s(26) =< it(27)*aux(23)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

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

* Chain [[27,28,29,30,31],36]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1
  Such that:aux(24) =< B
it(27) =< aux(24)
aux(14) =< aux(24)
s(26) =< it(27)*aux(24)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

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

* Chain [[27,28,29,30,31],35]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+0
  Such that:aux(25) =< B
it(27) =< aux(25)
aux(14) =< aux(25)
s(26) =< it(27)*aux(25)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

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

* Chain [[27,28,29,30,31],34]: 6*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(34)+1
  Such that:s(34) =< B/3
aux(26) =< B
s(34) =< aux(26)
it(27) =< aux(26)
aux(14) =< aux(26)
s(26) =< it(27)*aux(26)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=1,E=3,B>=5] 

* Chain [[27,28,29,30,31],33]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(37)+1*s(40)+0
  Such that:s(37) =< B/3
aux(27) =< B
aux(28) =< 2*B
aux(22) =< aux(27)
s(37) =< aux(27)
aux(22) =< aux(28)
s(40) =< aux(27)
s(40) =< aux(28)
s(37) =< aux(28)
it(27) =< aux(27)
it(27) =< aux(22)
aux(14) =< aux(27)
s(26) =< it(27)*aux(27)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=1,E=3,B>=4] 

* Chain [[27,28,29,30,31],32,37]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1
  Such that:aux(29) =< B
it(27) =< aux(29)
aux(14) =< aux(29)
s(26) =< it(27)*aux(29)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

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

* Chain [[21,22,23,24,25],[27,28,29,30,31],37]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+0
  Such that:aux(40) =< A
aux(41) =< B
it(27) =< aux(41)
aux(14) =< aux(41)
s(26) =< it(27)*aux(41)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(40)
aux(31) =< aux(41)-1
s(66) =< it(21)*aux(41)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],[27,28,29,30,31],36]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(42) =< A
aux(43) =< B
it(27) =< aux(43)
aux(14) =< aux(43)
s(26) =< it(27)*aux(43)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(42)
aux(31) =< aux(43)-1
s(66) =< it(21)*aux(43)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],[27,28,29,30,31],35]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+0
  Such that:aux(44) =< A
aux(45) =< B
it(27) =< aux(45)
aux(14) =< aux(45)
s(26) =< it(27)*aux(45)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(44)
aux(31) =< aux(45)-1
s(66) =< it(21)*aux(45)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],[27,28,29,30,31],34]: 5*it(21)+6*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(34)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:s(34) =< B/3
aux(46) =< A
aux(47) =< B
s(34) =< aux(47)
it(27) =< aux(47)
aux(14) =< aux(47)
s(26) =< it(27)*aux(47)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(46)
aux(31) =< aux(47)-1
s(66) =< it(21)*aux(47)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],[27,28,29,30,31],33]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(37)+1*s(40)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+0
  Such that:aux(28) =< 2*B
s(37) =< B/3
aux(48) =< A
aux(49) =< B
aux(22) =< aux(49)
s(37) =< aux(49)
aux(22) =< aux(28)
s(40) =< aux(49)
s(40) =< aux(28)
s(37) =< aux(28)
it(27) =< aux(49)
it(27) =< aux(22)
aux(14) =< aux(49)
s(26) =< it(27)*aux(49)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(48)
aux(31) =< aux(49)-1
s(66) =< it(21)*aux(49)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],[27,28,29,30,31],32,37]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(50) =< A
aux(51) =< B
it(27) =< aux(51)
aux(14) =< aux(51)
s(26) =< it(27)*aux(51)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(50)
aux(31) =< aux(51)-1
s(66) =< it(21)*aux(51)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],37]: 5*it(21)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+0
  Such that:aux(30) =< B
aux(52) =< A
it(21) =< aux(52)
aux(33) =< aux(30)
aux(31) =< aux(30)-1
s(66) =< it(21)*aux(30)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],35]: 5*it(21)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+0
  Such that:aux(30) =< B
aux(53) =< A
it(21) =< aux(53)
aux(33) =< aux(30)
aux(31) =< aux(30)-1
s(66) =< it(21)*aux(30)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],34]: 5*it(21)+1*s(34)+1*s(36)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:s(34) =< B/3
aux(54) =< A
aux(55) =< B
s(36) =< aux(55)
s(34) =< aux(55)
it(21) =< aux(54)
aux(33) =< aux(55)
aux(31) =< aux(55)-1
s(66) =< it(21)*aux(55)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [[21,22,23,24,25],33]: 5*it(21)+1*s(37)+1*s(40)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+0
  Such that:s(39) =< 2*B
s(37) =< B/3
aux(56) =< A
aux(57) =< B
s(40) =< aux(57)
s(37) =< aux(57)
s(40) =< s(39)
s(37) =< s(39)
it(21) =< aux(56)
aux(33) =< aux(57)
aux(31) =< aux(57)-1
s(66) =< it(21)*aux(57)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

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

* Chain [37]: 0
  with precondition: [E=3] 

* Chain [36]: 1
  with precondition: [E=3,2*A=B,A>=1] 

* Chain [35]: 0
  with precondition: [E=3,B>=2] 

* Chain [34]: 1*s(34)+1*s(36)+1
  Such that:s(35) =< -2*A+B
s(34) =< -2/3*A+B/3
s(36) =< s(35)
s(34) =< s(35)

  with precondition: [E=3,2*A>=1,B>=4*A] 

* Chain [33]: 1*s(37)+1*s(40)+0
  Such that:s(38) =< -2*A+B
s(39) =< -2*A+2*B
s(37) =< -2/3*A+B/3
s(40) =< s(38)
s(37) =< s(38)
s(40) =< s(39)
s(37) =< s(39)

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

* Chain [32,37]: 1
  with precondition: [A=1,B=2,E=3] 

* Chain [26,[27,28,29,30,31],37]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1
  Such that:aux(23) =< 4
it(27) =< aux(23)
aux(14) =< aux(23)
s(26) =< it(27)*aux(23)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=2,B=4,E=3] 

* Chain [26,[27,28,29,30,31],36]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+2
  Such that:aux(24) =< 4
it(27) =< aux(24)
aux(14) =< aux(24)
s(26) =< it(27)*aux(24)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=2,B=4,E=3] 

* Chain [26,[27,28,29,30,31],35]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1
  Such that:aux(25) =< 4
it(27) =< aux(25)
aux(14) =< aux(25)
s(26) =< it(27)*aux(25)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=2,B=4,E=3] 

* Chain [26,[27,28,29,30,31],33]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(37)+1*s(40)+1
  Such that:aux(27) =< 4
aux(28) =< 8
s(37) =< 4/3
aux(22) =< aux(27)
s(37) =< aux(27)
aux(22) =< aux(28)
s(40) =< aux(27)
s(40) =< aux(28)
s(37) =< aux(28)
it(27) =< aux(27)
it(27) =< aux(22)
aux(14) =< aux(27)
s(26) =< it(27)*aux(27)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=2,B=4,E=3] 

* Chain [26,[27,28,29,30,31],32,37]: 5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+2
  Such that:aux(29) =< 4
it(27) =< aux(29)
aux(14) =< aux(29)
s(26) =< it(27)*aux(29)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)

  with precondition: [A=2,B=4,E=3] 

* Chain [26,[21,22,23,24,25],[27,28,29,30,31],37]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(41) =< B
aux(40) =< B/2
it(27) =< aux(41)
aux(14) =< aux(41)
s(26) =< it(27)*aux(41)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(40)
aux(31) =< aux(41)-1
s(66) =< it(21)*aux(41)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],[27,28,29,30,31],36]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+2
  Such that:aux(43) =< B
aux(42) =< B/2
it(27) =< aux(43)
aux(14) =< aux(43)
s(26) =< it(27)*aux(43)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(42)
aux(31) =< aux(43)-1
s(66) =< it(21)*aux(43)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],[27,28,29,30,31],35]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(45) =< B
aux(44) =< B/2
it(27) =< aux(45)
aux(14) =< aux(45)
s(26) =< it(27)*aux(45)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(44)
aux(31) =< aux(45)-1
s(66) =< it(21)*aux(45)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],[27,28,29,30,31],34]: 5*it(21)+6*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(34)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+2
  Such that:aux(46) =< A
aux(47) =< 2*A
s(34) =< 2/3*A
s(34) =< aux(47)
it(27) =< aux(47)
aux(14) =< aux(47)
s(26) =< it(27)*aux(47)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(46)
aux(31) =< aux(47)-1
s(66) =< it(21)*aux(47)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],[27,28,29,30,31],33]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(37)+1*s(40)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(48) =< A
aux(49) =< 2*A
aux(28) =< 4*A
s(37) =< 2/3*A
aux(22) =< aux(49)
s(37) =< aux(49)
aux(22) =< aux(28)
s(40) =< aux(49)
s(40) =< aux(28)
s(37) =< aux(28)
it(27) =< aux(49)
it(27) =< aux(22)
aux(14) =< aux(49)
s(26) =< it(27)*aux(49)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(48)
aux(31) =< aux(49)-1
s(66) =< it(21)*aux(49)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],[27,28,29,30,31],32,37]: 5*it(21)+5*it(27)+1*s(23)+1*s(24)+2*s(27)+2*s(28)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+2
  Such that:aux(51) =< B
aux(50) =< B/2
it(27) =< aux(51)
aux(14) =< aux(51)
s(26) =< it(27)*aux(51)
aux(15) =< it(27)*aux(14)
s(27) =< aux(15)*(1/3)
s(23) =< aux(15)*(1/3)
s(28) =< aux(15)
s(27) =< aux(15)
s(24) =< s(26)
s(23) =< s(26)
s(24) =< aux(15)
s(23) =< aux(15)
it(21) =< aux(50)
aux(31) =< aux(51)-1
s(66) =< it(21)*aux(51)
aux(37) =< it(21)*aux(14)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],37]: 5*it(21)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(30) =< B
aux(52) =< B/2
it(21) =< aux(52)
aux(33) =< aux(30)
aux(31) =< aux(30)-1
s(66) =< it(21)*aux(30)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],35]: 5*it(21)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(30) =< B
aux(53) =< B/2
it(21) =< aux(53)
aux(33) =< aux(30)
aux(31) =< aux(30)-1
s(66) =< it(21)*aux(30)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],34]: 5*it(21)+1*s(34)+1*s(36)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+2
  Such that:aux(54) =< A
aux(55) =< 2*A
s(34) =< 2/3*A
s(36) =< aux(55)
s(34) =< aux(55)
it(21) =< aux(54)
aux(33) =< aux(55)
aux(31) =< aux(55)-1
s(66) =< it(21)*aux(55)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,[21,22,23,24,25],33]: 5*it(21)+1*s(37)+1*s(40)+1*s(63)+1*s(64)+1*s(67)+1*s(68)+1*s(71)+1*s(72)+1
  Such that:aux(56) =< A
aux(57) =< 2*A
s(39) =< 4*A
s(37) =< 2/3*A
s(40) =< aux(57)
s(37) =< aux(57)
s(40) =< s(39)
s(37) =< s(39)
it(21) =< aux(56)
aux(33) =< aux(57)
aux(31) =< aux(57)-1
s(66) =< it(21)*aux(57)
aux(37) =< it(21)*aux(33)
aux(32) =< it(21)*aux(31)
s(71) =< aux(37)*(1/3)
s(67) =< aux(32)*(1/3)
s(63) =< aux(32)*(1/3)
s(72) =< aux(37)
s(71) =< aux(37)
s(68) =< aux(37)
s(67) =< aux(37)
s(68) =< aux(32)
s(67) =< aux(32)
s(64) =< s(66)
s(63) =< s(66)
s(64) =< aux(32)
s(63) =< aux(32)

  with precondition: [E=3,2*A=B,A>=3] 

* Chain [26,37]: 1
  with precondition: [E=3,2*A=B,A>=2] 

* Chain [26,35]: 1
  with precondition: [E=3,2*A=B,A>=2] 

* Chain [26,34]: 1*s(34)+1*s(36)+2
  Such that:s(35) =< 2
s(34) =< 2/3
s(36) =< s(35)
s(34) =< s(35)

  with precondition: [A=2,B=4,E=3] 

* Chain [26,33]: 1*s(37)+1*s(40)+1
  Such that:s(38) =< 2
s(37) =< 2/3
s(39) =< B+2
s(40) =< s(38)
s(37) =< s(38)
s(40) =< s(39)
s(37) =< s(39)

  with precondition: [E=3,2*A=B,A>=2] 


#### Cost of chains of eval1(A,B,C,D,E):
* Chain [58]: 1
  with precondition: [A=1,B=3] 

* Chain [57]: 20*s(551)+8*s(555)+4*s(556)+8*s(557)+4*s(558)+1
  Such that:s(550) =< B
s(551) =< s(550)
s(552) =< s(550)
s(553) =< s(551)*s(550)
s(554) =< s(551)*s(552)
s(555) =< s(554)*(1/3)
s(556) =< s(554)*(1/3)
s(557) =< s(554)
s(555) =< s(554)
s(558) =< s(553)
s(556) =< s(553)
s(558) =< s(554)
s(556) =< s(554)

  with precondition: [A=1,B>=4] 

* Chain [56]: 1*s(559)+1*s(563)+5*s(564)+2*s(568)+1*s(569)+2*s(570)+1*s(571)+0
  Such that:s(560) =< B
s(561) =< 2*B
s(559) =< B/3
s(562) =< s(560)
s(559) =< s(560)
s(562) =< s(561)
s(563) =< s(560)
s(563) =< s(561)
s(559) =< s(561)
s(564) =< s(560)
s(564) =< s(562)
s(565) =< s(560)
s(566) =< s(564)*s(560)
s(567) =< s(564)*s(565)
s(568) =< s(567)*(1/3)
s(569) =< s(567)*(1/3)
s(570) =< s(567)
s(568) =< s(567)
s(571) =< s(566)
s(569) =< s(566)
s(571) =< s(567)
s(569) =< s(567)

  with precondition: [A=1,B>=5] 

* Chain [55]: 1*s(572)+6*s(574)+2*s(578)+1*s(579)+2*s(580)+1*s(581)+1
  Such that:s(573) =< B
s(572) =< B/3
s(572) =< s(573)
s(574) =< s(573)
s(575) =< s(573)
s(576) =< s(574)*s(573)
s(577) =< s(574)*s(575)
s(578) =< s(577)*(1/3)
s(579) =< s(577)*(1/3)
s(580) =< s(577)
s(578) =< s(577)
s(581) =< s(576)
s(579) =< s(576)
s(581) =< s(577)
s(579) =< s(577)

  with precondition: [A=1,B>=6] 

* Chain [54]: 1
  with precondition: [A=2,B=2] 

* Chain [53]: 20*s(583)+8*s(587)+4*s(588)+8*s(589)+4*s(590)+1
  Such that:s(582) =< B
s(583) =< s(582)
s(584) =< s(582)
s(585) =< s(583)*s(582)
s(586) =< s(583)*s(584)
s(587) =< s(586)*(1/3)
s(588) =< s(586)*(1/3)
s(589) =< s(586)
s(587) =< s(586)
s(590) =< s(585)
s(588) =< s(585)
s(590) =< s(586)
s(588) =< s(586)

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

* Chain [52]: 1*s(591)+1*s(595)+5*s(596)+2*s(600)+1*s(601)+2*s(602)+1*s(603)+0
  Such that:s(592) =< B
s(593) =< 2*B
s(591) =< B/3
s(594) =< s(592)
s(591) =< s(592)
s(594) =< s(593)
s(595) =< s(592)
s(595) =< s(593)
s(591) =< s(593)
s(596) =< s(592)
s(596) =< s(594)
s(597) =< s(592)
s(598) =< s(596)*s(592)
s(599) =< s(596)*s(597)
s(600) =< s(599)*(1/3)
s(601) =< s(599)*(1/3)
s(602) =< s(599)
s(600) =< s(599)
s(603) =< s(598)
s(601) =< s(598)
s(603) =< s(599)
s(601) =< s(599)

  with precondition: [A=2,B>=4] 

* Chain [51]: 1*s(604)+6*s(606)+2*s(610)+1*s(611)+2*s(612)+1*s(613)+1
  Such that:s(605) =< B
s(604) =< B/3
s(604) =< s(605)
s(606) =< s(605)
s(607) =< s(605)
s(608) =< s(606)*s(605)
s(609) =< s(606)*s(607)
s(610) =< s(609)*(1/3)
s(611) =< s(609)*(1/3)
s(612) =< s(609)
s(610) =< s(609)
s(613) =< s(608)
s(611) =< s(608)
s(613) =< s(609)
s(611) =< s(609)

  with precondition: [A=2,B>=5] 

* Chain [50]: 430
  with precondition: [A=3,B=4] 

* Chain [49]: 1
  with precondition: [2*A=B+2,A>=2] 

* Chain [48]: 1*s(615)+1*s(617)+1
  Such that:s(614) =< 2
s(615) =< 2/3
s(616) =< 2*A
s(617) =< s(614)
s(615) =< s(614)
s(617) =< s(616)
s(615) =< s(616)

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

* Chain [47]: 2*s(624)+2*s(625)+2*s(626)+50*s(627)+10*s(633)+10*s(634)+10*s(635)+10*s(636)+10*s(637)+10*s(638)+27*s(639)+5*s(641)+2*s(644)+1*s(645)+2*s(646)+1*s(647)+10*s(650)+5*s(651)+10*s(652)+5*s(653)+2
  Such that:s(620) =< 2*B
s(621) =< B/3
aux(70) =< B
aux(71) =< B/2
s(624) =< s(621)
s(625) =< s(621)
s(626) =< aux(70)
s(624) =< aux(70)
s(626) =< s(620)
s(624) =< s(620)
s(627) =< aux(71)
s(628) =< aux(70)
s(629) =< aux(70)-1
s(630) =< s(627)*aux(70)
s(631) =< s(627)*s(628)
s(632) =< s(627)*s(629)
s(633) =< s(631)*(1/3)
s(634) =< s(632)*(1/3)
s(635) =< s(632)*(1/3)
s(636) =< s(631)
s(633) =< s(631)
s(637) =< s(631)
s(634) =< s(631)
s(637) =< s(632)
s(634) =< s(632)
s(638) =< s(630)
s(635) =< s(630)
s(638) =< s(632)
s(635) =< s(632)
s(639) =< aux(70)
s(625) =< aux(70)
s(640) =< aux(70)
s(640) =< s(620)
s(641) =< aux(70)
s(641) =< s(640)
s(642) =< s(641)*aux(70)
s(643) =< s(641)*s(628)
s(644) =< s(643)*(1/3)
s(645) =< s(643)*(1/3)
s(646) =< s(643)
s(644) =< s(643)
s(647) =< s(642)
s(645) =< s(642)
s(647) =< s(643)
s(645) =< s(643)
s(648) =< s(639)*aux(70)
s(649) =< s(639)*s(628)
s(650) =< s(649)*(1/3)
s(651) =< s(649)*(1/3)
s(652) =< s(649)
s(650) =< s(649)
s(653) =< s(648)
s(651) =< s(648)
s(653) =< s(649)
s(651) =< s(649)

  with precondition: [2*A=B+2,A>=4] 

* Chain [46]: 0
  with precondition: [1>=A] 

* Chain [45]: 0
  with precondition: [1>=A,B>=3] 

* Chain [44]: 1*s(674)+1*s(675)+1
  Such that:s(673) =< -2*A+B
s(674) =< -2/3*A+B/3
s(675) =< s(673)
s(674) =< s(673)

  with precondition: [1>=A,2*A>=1,B>=4*A+1] 

* Chain [43]: 1*s(678)+1*s(679)+0
  Such that:s(676) =< -2*A+B
s(677) =< -2*A+2*B
s(678) =< -2/3*A+B/3
s(679) =< s(676)
s(678) =< s(676)
s(679) =< s(677)
s(678) =< s(677)

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

* Chain [42]: 0
  with precondition: [A>=2] 

* Chain [41]: 0
  with precondition: [A>=2,B>=2] 

* Chain [40]: 1*s(681)+1*s(682)+1
  Such that:s(680) =< -2*A+B+2
s(681) =< -2/3*A+B/3+2/3
s(682) =< s(680)
s(681) =< s(680)

  with precondition: [A>=2,B+4>=4*A] 

* Chain [39]: 1*s(685)+1*s(686)+0
  Such that:s(683) =< -2*A+B+2
s(684) =< -2*A+2*B+2
s(685) =< -2/3*A+B/3+2/3
s(686) =< s(683)
s(685) =< s(683)
s(686) =< s(684)
s(685) =< s(684)

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

* Chain [38]: 2*s(691)+2*s(692)+27*s(693)+10*s(697)+5*s(698)+10*s(699)+5*s(700)+50*s(701)+10*s(706)+10*s(707)+10*s(708)+10*s(709)+10*s(710)+10*s(711)+2*s(712)+5*s(714)+2*s(717)+1*s(718)+2*s(719)+1*s(720)+1
  Such that:s(687) =< A
s(688) =< B
s(689) =< 2*B
s(690) =< B/3
s(691) =< s(690)
s(692) =< s(690)
s(693) =< s(688)
s(694) =< s(688)
s(695) =< s(693)*s(688)
s(696) =< s(693)*s(694)
s(697) =< s(696)*(1/3)
s(698) =< s(696)*(1/3)
s(699) =< s(696)
s(697) =< s(696)
s(700) =< s(695)
s(698) =< s(695)
s(700) =< s(696)
s(698) =< s(696)
s(701) =< s(687)
s(702) =< s(688)-1
s(703) =< s(701)*s(688)
s(704) =< s(701)*s(694)
s(705) =< s(701)*s(702)
s(706) =< s(704)*(1/3)
s(707) =< s(705)*(1/3)
s(708) =< s(705)*(1/3)
s(709) =< s(704)
s(706) =< s(704)
s(710) =< s(704)
s(707) =< s(704)
s(710) =< s(705)
s(707) =< s(705)
s(711) =< s(703)
s(708) =< s(703)
s(711) =< s(705)
s(708) =< s(705)
s(712) =< s(688)
s(691) =< s(688)
s(712) =< s(689)
s(691) =< s(689)
s(713) =< s(688)
s(713) =< s(689)
s(714) =< s(688)
s(714) =< s(713)
s(715) =< s(714)*s(688)
s(716) =< s(714)*s(694)
s(717) =< s(716)*(1/3)
s(718) =< s(716)*(1/3)
s(719) =< s(716)
s(717) =< s(716)
s(720) =< s(715)
s(718) =< s(715)
s(720) =< s(716)
s(718) =< s(716)
s(692) =< s(688)

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


Closed-form bounds of eval1(A,B,C,D,E): 
-------------------------------------
* Chain [58] with precondition: [A=1,B=3] 
    - Upper bound: 1 
    - Complexity: constant 
* Chain [57] with precondition: [A=1,B>=4] 
    - Upper bound: 20*B+1+16*B*B 
    - Complexity: n^2 
* Chain [56] with precondition: [A=1,B>=5] 
    - Upper bound: B/3+(4*B*B+6*B) 
    - Complexity: n^2 
* Chain [55] with precondition: [A=1,B>=6] 
    - Upper bound: B/3+(6*B+1+4*B*B) 
    - Complexity: n^2 
* Chain [54] with precondition: [A=2,B=2] 
    - Upper bound: 1 
    - Complexity: constant 
* Chain [53] with precondition: [A=2,B>=3] 
    - Upper bound: 20*B+1+16*B*B 
    - Complexity: n^2 
* Chain [52] with precondition: [A=2,B>=4] 
    - Upper bound: B/3+(4*B*B+6*B) 
    - Complexity: n^2 
* Chain [51] with precondition: [A=2,B>=5] 
    - Upper bound: B/3+(6*B+1+4*B*B) 
    - Complexity: n^2 
* Chain [50] with precondition: [A=3,B=4] 
    - Upper bound: 430 
    - Complexity: constant 
* Chain [49] with precondition: [2*A=B+2,A>=2] 
    - Upper bound: 1 
    - Complexity: constant 
* Chain [48] with precondition: [2*A=B+2,A>=3] 
    - Upper bound: 11/3 
    - Complexity: constant 
* Chain [47] with precondition: [2*A=B+2,A>=4] 
    - Upper bound: 34*B+2+24*B*B+B/2*(100/3*B)+B/2*(20/3*B-20/3)+25*B+4/3*B 
    - Complexity: n^2 
* Chain [46] with precondition: [1>=A] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [45] with precondition: [1>=A,B>=3] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [44] with precondition: [1>=A,2*A>=1,B>=4*A+1] 
    - Upper bound: -8/3*A+4/3*B+1 
    - Complexity: n 
* Chain [43] with precondition: [1>=A,2*A>=1,B>=2*A+2] 
    - Upper bound: -8/3*A+4/3*B 
    - Complexity: n 
* Chain [42] with precondition: [A>=2] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [41] with precondition: [A>=2,B>=2] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [40] with precondition: [A>=2,B+4>=4*A] 
    - Upper bound: -8/3*A+4/3*B+11/3 
    - Complexity: n 
* Chain [39] with precondition: [A>=2,B+1>=2*A] 
    - Upper bound: -8/3*A+4/3*B+8/3 
    - Complexity: n 
* Chain [38] with precondition: [A>=3,B+1>=2*A] 
    - Upper bound: 50*A+1+100/3*A*B+(B-1)*(20/3*A)+34*B+24*B*B+4/3*B 
    - Complexity: n^2 

### Maximum cost of eval1(A,B,C,D,E): max([max([max([430,nat(-2/3*A+B/3+2/3)+nat(-2*A+B+2)+1]),nat(-2/3*A+B/3)+nat(-2*A+B)+1]),nat(B)*4*nat(B)+nat(B)*6+max([nat(B)*14+1+nat(B)*12*nat(B),nat(B)*20*nat(B)+nat(B)*28+nat(B/3)*3+max([100/3*nat(A)*nat(B)+nat(A)*50+20/3*nat(A)*nat(nat(B)+ -1),100/3*nat(B)*nat(B/2)+1+20/3*nat(nat(B)+ -1)*nat(B/2)+nat(B/2)*50])+(nat(B/3)+1)])]) 
Asymptotic class: n^2 
* Total analysis performed in 821 ms.

