1.52/1.53	WORST_CASE(?,O(n^3))  
1.52/1.53	
1.52/1.53	Preprocessing Cost Relations
1.52/1.53	=====================================
1.52/1.53	
1.52/1.53	#### Computed strongly connected components 
1.52/1.53	0. recursive  : [evalfbb2in/5,evalfbb3in/5]
1.52/1.53	1. recursive  : [evalfbb1in/7,evalfbb3in_loop_cont/8,evalfbb4in/7,evalfbb5in/7]
1.52/1.53	2. recursive  : [evalfbb5in_loop_cont/11,evalfbb6in/10,evalfbb7in/10]
1.52/1.53	3. non_recursive  : [evalfstop/7]
1.52/1.53	4. non_recursive  : [evalfreturnin/7]
1.52/1.53	5. non_recursive  : [exit_location/1]
1.52/1.53	6. non_recursive  : [evalfbb7in_loop_cont/8]
1.52/1.53	7. non_recursive  : [evalfentryin/7]
1.52/1.53	8. non_recursive  : [evalfstart/7]
1.52/1.53	
1.52/1.53	#### Obtained direct recursion through partial evaluation 
1.52/1.53	0. SCC is partially evaluated into evalfbb3in/5
1.52/1.53	1. SCC is partially evaluated into evalfbb5in/7
1.52/1.53	2. SCC is partially evaluated into evalfbb7in/10
1.52/1.53	3. SCC is completely evaluated into other SCCs
1.52/1.53	4. SCC is completely evaluated into other SCCs
1.52/1.53	5. SCC is completely evaluated into other SCCs
1.52/1.53	6. SCC is partially evaluated into evalfbb7in_loop_cont/8
1.52/1.53	7. SCC is partially evaluated into evalfentryin/7
1.52/1.53	8. SCC is partially evaluated into evalfstart/7
1.52/1.53	
1.52/1.53	Control-Flow Refinement of Cost Relations
1.52/1.53	=====================================
1.52/1.53	
1.52/1.53	### Specialization of cost equations evalfbb3in/5 
1.52/1.53	* CE 15 is refined into CE [16] 
1.52/1.53	* CE 14 is refined into CE [17] 
1.52/1.53	* CE 13 is refined into CE [18] 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Cost equations --> "Loop" of evalfbb3in/5 
1.52/1.53	* CEs [18] --> Loop 16 
1.52/1.53	* CEs [16] --> Loop 17 
1.52/1.53	* CEs [17] --> Loop 18 
1.52/1.53	
1.52/1.53	### Ranking functions of CR evalfbb3in(D,E,F,G,H) 
1.52/1.53	* RF of phase [16]: [D+E-F+1]
1.52/1.53	
1.52/1.53	#### Partial ranking functions of CR evalfbb3in(D,E,F,G,H) 
1.52/1.53	* Partial RF of phase [16]:
1.52/1.53	  - RF of loop [16:1]:
1.52/1.53	    D+E-F+1
1.52/1.53	
1.52/1.53	
1.52/1.53	### Specialization of cost equations evalfbb5in/7 
1.52/1.53	* CE 11 is refined into CE [19] 
1.52/1.53	* CE 9 is refined into CE [20,21] 
1.52/1.53	* CE 12 is refined into CE [22] 
1.52/1.53	* CE 10 is refined into CE [23,24] 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Cost equations --> "Loop" of evalfbb5in/7 
1.52/1.53	* CEs [23] --> Loop 19 
1.52/1.53	* CEs [24] --> Loop 20 
1.52/1.53	* CEs [19] --> Loop 21 
1.52/1.53	* CEs [20] --> Loop 22 
1.52/1.53	* CEs [21] --> Loop 23 
1.52/1.53	* CEs [22] --> Loop 24 
1.52/1.53	
1.52/1.53	### Ranking functions of CR evalfbb5in(C,D,E,F,G,H,I) 
1.52/1.53	* RF of phase [19]: [C-E+1,-E+1]
1.52/1.53	* RF of phase [20]: [C-E+1]
1.52/1.53	
1.52/1.53	#### Partial ranking functions of CR evalfbb5in(C,D,E,F,G,H,I) 
1.52/1.53	* Partial RF of phase [19]:
1.52/1.53	  - RF of loop [19:1]:
1.52/1.53	    C-E+1
1.52/1.53	    -E+1
1.52/1.53	* Partial RF of phase [20]:
1.52/1.53	  - RF of loop [20:1]:
1.52/1.53	    C-E+1
1.52/1.53	
1.52/1.53	
1.52/1.53	### Specialization of cost equations evalfbb7in/10 
1.52/1.53	* CE 5 is refined into CE [25] 
1.52/1.53	* CE 3 is refined into CE [26,27,28,29,30,31,32,33] 
1.52/1.53	* CE 6 is refined into CE [34] 
1.52/1.53	* CE 4 is refined into CE [35,36,37,38] 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Cost equations --> "Loop" of evalfbb7in/10 
1.52/1.53	* CEs [35] --> Loop 25 
1.52/1.53	* CEs [38] --> Loop 26 
1.52/1.53	* CEs [37] --> Loop 27 
1.52/1.53	* CEs [36] --> Loop 28 
1.52/1.53	* CEs [25] --> Loop 29 
1.52/1.53	* CEs [26] --> Loop 30 
1.52/1.53	* CEs [33] --> Loop 31 
1.52/1.53	* CEs [32] --> Loop 32 
1.52/1.53	* CEs [31] --> Loop 33 
1.52/1.53	* CEs [30] --> Loop 34 
1.52/1.53	* CEs [29] --> Loop 35 
1.52/1.53	* CEs [28] --> Loop 36 
1.52/1.53	* CEs [27] --> Loop 37 
1.52/1.53	* CEs [34] --> Loop 38 
1.52/1.53	
1.52/1.53	### Ranking functions of CR evalfbb7in(A,B,C,D,E,F,G,H,I,J) 
1.52/1.53	* RF of phase [25]: [A-D+1]
1.52/1.53	* RF of phase [26]: [A-D+1]
1.52/1.53	* RF of phase [27]: [A-D+1]
1.52/1.53	* RF of phase [28]: [A-D+1]
1.52/1.53	
1.52/1.53	#### Partial ranking functions of CR evalfbb7in(A,B,C,D,E,F,G,H,I,J) 
1.52/1.53	* Partial RF of phase [25]:
1.52/1.53	  - RF of loop [25:1]:
1.52/1.53	    A-D+1
1.52/1.53	* Partial RF of phase [26]:
1.52/1.53	  - RF of loop [26:1]:
1.52/1.53	    A-D+1
1.52/1.53	* Partial RF of phase [27]:
1.52/1.53	  - RF of loop [27:1]:
1.52/1.53	    A-D+1
1.52/1.53	* Partial RF of phase [28]:
1.52/1.53	  - RF of loop [28:1]:
1.52/1.53	    A-D+1
1.52/1.53	
1.52/1.53	
1.52/1.53	### Specialization of cost equations evalfbb7in_loop_cont/8 
1.52/1.53	* CE 7 is refined into CE [39] 
1.52/1.53	* CE 8 is refined into CE [40] 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Cost equations --> "Loop" of evalfbb7in_loop_cont/8 
1.52/1.53	* CEs [39] --> Loop 39 
1.52/1.53	* CEs [40] --> Loop 40 
1.52/1.53	
1.52/1.53	### Ranking functions of CR evalfbb7in_loop_cont(A,B,C,D,E,F,G,H) 
1.52/1.53	
1.52/1.53	#### Partial ranking functions of CR evalfbb7in_loop_cont(A,B,C,D,E,F,G,H) 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Specialization of cost equations evalfentryin/7 
1.52/1.53	* CE 2 is refined into CE [41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63] 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Cost equations --> "Loop" of evalfentryin/7 
1.52/1.53	* CEs [59] --> Loop 41 
1.52/1.53	* CEs [57] --> Loop 42 
1.52/1.53	* CEs [56,60] --> Loop 43 
1.52/1.53	* CEs [55] --> Loop 44 
1.52/1.53	* CEs [58] --> Loop 45 
1.52/1.53	* CEs [54] --> Loop 46 
1.52/1.53	* CEs [52] --> Loop 47 
1.52/1.53	* CEs [53] --> Loop 48 
1.52/1.53	* CEs [51,63] --> Loop 49 
1.52/1.53	* CEs [50] --> Loop 50 
1.52/1.53	* CEs [49] --> Loop 51 
1.52/1.53	* CEs [48,61] --> Loop 52 
1.52/1.53	* CEs [47] --> Loop 53 
1.52/1.53	* CEs [46] --> Loop 54 
1.52/1.53	* CEs [45] --> Loop 55 
1.52/1.53	* CEs [44] --> Loop 56 
1.52/1.53	* CEs [43] --> Loop 57 
1.52/1.53	* CEs [42,62] --> Loop 58 
1.52/1.53	* CEs [41] --> Loop 59 
1.52/1.53	
1.52/1.53	### Ranking functions of CR evalfentryin(A,B,C,D,E,F,G) 
1.52/1.53	
1.52/1.53	#### Partial ranking functions of CR evalfentryin(A,B,C,D,E,F,G) 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Specialization of cost equations evalfstart/7 
1.52/1.53	* CE 1 is refined into CE [64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82] 
1.52/1.53	
1.52/1.53	
1.52/1.53	### Cost equations --> "Loop" of evalfstart/7 
1.52/1.53	* CEs [82] --> Loop 60 
1.52/1.53	* CEs [81] --> Loop 61 
1.52/1.53	* CEs [80] --> Loop 62 
1.52/1.53	* CEs [79] --> Loop 63 
1.52/1.53	* CEs [78] --> Loop 64 
1.52/1.53	* CEs [77] --> Loop 65 
1.52/1.53	* CEs [76] --> Loop 66 
1.52/1.53	* CEs [75] --> Loop 67 
1.52/1.53	* CEs [74] --> Loop 68 
1.52/1.53	* CEs [73] --> Loop 69 
1.52/1.53	* CEs [72] --> Loop 70 
1.52/1.53	* CEs [71] --> Loop 71 
1.52/1.53	* CEs [70] --> Loop 72 
1.52/1.53	* CEs [69] --> Loop 73 
1.52/1.53	* CEs [68] --> Loop 74 
1.52/1.53	* CEs [67] --> Loop 75 
1.52/1.53	* CEs [66] --> Loop 76 
1.52/1.53	* CEs [65] --> Loop 77 
1.52/1.53	* CEs [64] --> Loop 78 
1.52/1.53	
1.52/1.53	### Ranking functions of CR evalfstart(A,B,C,D,E,F,G) 
1.52/1.53	
1.52/1.53	#### Partial ranking functions of CR evalfstart(A,B,C,D,E,F,G) 
1.52/1.53	
1.52/1.53	
1.52/1.53	Computing Bounds
1.52/1.53	=====================================
1.52/1.53	
1.52/1.53	#### Cost of chains of evalfbb3in(D,E,F,G,H):
1.52/1.53	* Chain [[16],18]: 1*it(16)+0
1.52/1.53	  Such that:it(16) =< -F+H
1.52/1.53	
1.52/1.53	  with precondition: [G=2,D+E+1=H,E+F>=D,D+E>=F] 
1.52/1.53	
1.52/1.53	* Chain [[16],17]: 1*it(16)+0
1.52/1.53	  Such that:it(16) =< D+E-F+1
1.52/1.53	
1.52/1.53	  with precondition: [G=3,E+F>=D,D+E>=F] 
1.52/1.53	
1.52/1.53	* Chain [18]: 0
1.52/1.53	  with precondition: [G=2,F=H,F>=D+E+1,E+F>=D] 
1.52/1.53	
1.52/1.53	* Chain [17]: 0
1.52/1.53	  with precondition: [G=3,E+F>=D] 
1.52/1.53	
1.52/1.53	
1.52/1.53	#### Cost of chains of evalfbb5in(C,D,E,F,G,H,I):
1.52/1.53	* Chain [[20],24]: 1*it(20)+1*s(3)+0
1.52/1.53	  Such that:it(20) =< C-E+1
1.52/1.53	aux(1) =< 2*C+2
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,E>=0,C>=E] 
1.52/1.53	
1.52/1.53	* Chain [[20],23]: 1*it(20)+1*s(3)+1*s(4)+0
1.52/1.53	  Such that:it(20) =< C-E
1.52/1.53	s(4) =< 2*C+1
1.52/1.53	aux(1) =< 2*C+2
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,E>=0,C>=E+1] 
1.52/1.53	
1.52/1.53	* Chain [[20],22]: 1*it(20)+1*s(3)+0
1.52/1.53	  Such that:it(20) =< C-E
1.52/1.53	aux(1) =< 2*C+2
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,E>=0,C>=E+1] 
1.52/1.53	
1.52/1.53	* Chain [[20],21]: 1*it(20)+1*s(3)+0
1.52/1.53	  Such that:aux(1) =< -2*D+2*I
1.52/1.53	it(20) =< -D-E+I
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=4,C+1=H,C+D+1=I,E>=0,C>=E] 
1.52/1.53	
1.52/1.53	* Chain [[19],[20],24]: 1*it(19)+1*it(20)+1*s(3)+0
1.52/1.53	  Such that:it(20) =< C+1
1.52/1.53	it(19) =< C-E
1.52/1.53	aux(1) =< 2*C+2
1.52/1.53	aux(2) =< C-E+1
1.52/1.53	it(19) =< aux(2)
1.52/1.53	it(20) =< aux(2)
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*E+1,C>=0,C>=E+1] 
1.52/1.53	
1.52/1.53	* Chain [[19],[20],23]: 1*it(19)+1*it(20)+1*s(3)+1*s(4)+0
1.52/1.53	  Such that:it(20) =< C
1.52/1.53	s(4) =< 2*C+1
1.52/1.53	aux(1) =< 2*C+2
1.52/1.53	it(19) =< -E+1/2
1.52/1.53	aux(3) =< C-E
1.52/1.53	it(19) =< aux(3)
1.52/1.53	it(20) =< aux(3)
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*E+1,C>=1,C>=E+2] 
1.52/1.53	
1.52/1.53	* Chain [[19],[20],22]: 1*it(19)+1*it(20)+1*s(3)+0
1.52/1.53	  Such that:it(20) =< C
1.52/1.53	aux(1) =< 2*C+2
1.52/1.53	aux(4) =< C-E
1.52/1.53	it(19) =< aux(4)
1.52/1.53	it(20) =< aux(4)
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*E+1,C>=1,C>=E+2] 
1.52/1.53	
1.52/1.53	* Chain [[19],[20],21]: 1*it(19)+1*it(20)+1*s(3)+0
1.52/1.53	  Such that:aux(1) =< -2*D+2*I
1.52/1.53	it(20) =< -D+I
1.52/1.53	it(19) =< -E+1/2
1.52/1.53	aux(5) =< -D-E+I
1.52/1.53	it(19) =< aux(5)
1.52/1.53	it(20) =< aux(5)
1.52/1.53	s(3) =< it(20)*aux(1)
1.52/1.53	
1.52/1.53	  with precondition: [G=4,C+1=H,C+D+1=I,0>=2*E+1,C>=0,C>=E+1] 
1.52/1.53	
1.52/1.53	* Chain [[19],24]: 1*it(19)+0
1.52/1.53	  Such that:it(19) =< C-E+1
1.52/1.53	it(19) =< -E+1/2
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*E+1,C>=E] 
1.52/1.53	
1.52/1.53	* Chain [[19],23]: 1*it(19)+1*s(4)+0
1.52/1.53	  Such that:s(4) =< 2
1.52/1.53	it(19) =< C-E
1.52/1.53	s(4) =< 2*C+1
1.52/1.53	it(19) =< -E+1/2
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*E+1,C>=0,C>=E+1] 
1.52/1.53	
1.52/1.53	* Chain [[19],22]: 1*it(19)+0
1.52/1.53	  Such that:it(19) =< C-E
1.52/1.53	it(19) =< -E+1/2
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*E+1,C>=E+1] 
1.52/1.53	
1.52/1.53	* Chain [[19],21]: 1*it(19)+0
1.52/1.53	  Such that:it(19) =< C-E+1
1.52/1.53	
1.52/1.53	  with precondition: [G=4,C+1=H,C+I=D,0>=2*C+1,C>=E] 
1.52/1.53	
1.52/1.53	* Chain [24]: 0
1.52/1.53	  with precondition: [G=3] 
1.52/1.53	
1.52/1.53	* Chain [23]: 1*s(4)+0
1.52/1.53	  Such that:s(4) =< 2*E+1
1.52/1.53	
1.52/1.53	  with precondition: [G=3,E>=0,C>=E] 
1.52/1.53	
1.52/1.53	* Chain [22]: 0
1.52/1.53	  with precondition: [G=3,C>=E] 
1.52/1.53	
1.52/1.53	* Chain [21]: 0
1.52/1.53	  with precondition: [G=4,I=F,E=H,E>=C+1] 
1.52/1.53	
1.52/1.53	
1.52/1.53	#### Cost of chains of evalfbb7in(A,B,C,D,E,F,G,H,I,J):
1.52/1.53	* Chain [[28],38]: 1*it(28)+1*s(36)+0
1.52/1.53	  Such that:it(28) =< A-D+1
1.52/1.53	aux(12) =< -B+C+1
1.52/1.53	s(36) =< it(28)*aux(12)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*C+1,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[28],35]: 1*it(28)+1*s(36)+1*s(37)+0
1.52/1.53	  Such that:it(28) =< A-D
1.52/1.53	aux(13) =< -B+C+1
1.52/1.53	s(37) =< aux(13)
1.52/1.53	s(36) =< it(28)*aux(13)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*C+1,C>=B,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[28],34]: 1*it(28)+1*s(36)+1*s(38)+0
1.52/1.53	  Such that:it(28) =< A-D
1.52/1.53	s(38) =< -B+C
1.52/1.53	aux(12) =< -B+C+1
1.52/1.53	s(36) =< it(28)*aux(12)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*C+1,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[28],31]: 1*it(28)+1*s(36)+0
1.52/1.53	  Such that:it(28) =< A-D
1.52/1.53	aux(12) =< -B+C+1
1.52/1.53	s(36) =< it(28)*aux(12)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*C+1,C>=B,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[28],30]: 1*it(28)+1*s(36)+0
1.52/1.53	  Such that:it(28) =< A-D
1.52/1.53	aux(12) =< -B+C+1
1.52/1.53	s(36) =< it(28)*aux(12)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*C+1,C>=B,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[28],29]: 1*it(28)+1*s(36)+0
1.52/1.53	  Such that:aux(12) =< A-B-J+1
1.52/1.53	it(28) =< A-D+1
1.52/1.53	s(36) =< it(28)*aux(12)
1.52/1.53	
1.52/1.53	  with precondition: [G=5,A+1=H,C+1=I,C+J=A,0>=2*C+1,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[27],38]: 1*it(27)+1*s(49)+1*s(50)+1*s(51)+0
1.52/1.53	  Such that:it(27) =< A-D+1
1.52/1.53	aux(14) =< -B+1/2
1.52/1.53	aux(15) =< -B+C+1
1.52/1.53	s(47) =< 2*C+2
1.52/1.53	aux(16) =< s(47)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(14)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*s(47)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[27],37]: 1*it(27)+1*s(49)+1*s(50)+1*s(51)+1*s(53)+1*s(54)+1*s(57)+1*s(59)+1*s(60)+0
1.52/1.53	  Such that:s(53) =< 2
1.52/1.53	it(27) =< A-D
1.52/1.53	s(58) =< -B+C
1.52/1.53	s(54) =< C+1
1.52/1.53	s(53) =< 2*C+1
1.52/1.53	aux(17) =< -B+1/2
1.52/1.53	aux(18) =< -B+C+1
1.52/1.53	aux(19) =< 2*C+2
1.52/1.53	s(57) =< aux(17)
1.52/1.53	s(57) =< s(58)
1.52/1.53	s(59) =< s(58)
1.52/1.53	s(59) =< aux(18)
1.52/1.53	s(54) =< aux(18)
1.52/1.53	s(60) =< s(54)*aux(19)
1.52/1.53	aux(16) =< aux(19)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(18)
1.52/1.53	s(50) =< it(27)*aux(17)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*aux(19)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[27],36]: 1*it(27)+1*s(49)+1*s(50)+1*s(51)+1*s(61)+1*s(62)+2*s(66)+1*s(67)+2*s(68)+0
1.52/1.53	  Such that:it(27) =< A-D
1.52/1.53	s(64) =< -B+C
1.52/1.53	aux(15) =< -B+C+1
1.52/1.53	s(63) =< C
1.52/1.53	s(61) =< 2*C+1
1.52/1.53	aux(20) =< -B+1/2
1.52/1.53	aux(21) =< 2*C+2
1.52/1.53	s(62) =< aux(20)
1.52/1.53	s(66) =< s(63)
1.52/1.53	s(67) =< s(64)
1.52/1.53	s(66) =< s(64)
1.52/1.53	s(68) =< s(66)*aux(21)
1.52/1.53	s(62) =< s(64)
1.52/1.53	aux(16) =< aux(21)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(20)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*aux(21)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=1,C>=B+2,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[27],35]: 1*it(27)+1*s(37)+1*s(49)+1*s(50)+1*s(51)+0
1.52/1.53	  Such that:it(27) =< A-D
1.52/1.53	aux(15) =< -B+C+1
1.52/1.53	s(47) =< 2*C+2
1.52/1.53	aux(22) =< -B+1/2
1.52/1.53	s(37) =< aux(22)
1.52/1.53	aux(16) =< s(47)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(22)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*s(47)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[27],34]: 1*it(27)+1*s(38)+1*s(49)+1*s(50)+1*s(51)+0
1.52/1.53	  Such that:it(27) =< A-D
1.52/1.53	s(38) =< -B+C
1.52/1.53	aux(15) =< -B+C+1
1.52/1.53	s(47) =< 2*C+2
1.52/1.53	aux(23) =< -B+1/2
1.52/1.53	s(38) =< aux(23)
1.52/1.53	aux(16) =< s(47)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(23)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*s(47)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[27],31]: 1*it(27)+1*s(49)+1*s(50)+1*s(51)+0
1.52/1.53	  Such that:it(27) =< A-D
1.52/1.53	aux(14) =< -B+1/2
1.52/1.53	aux(15) =< -B+C+1
1.52/1.53	s(47) =< 2*C+2
1.52/1.53	aux(16) =< s(47)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(14)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*s(47)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[27],30]: 1*it(27)+1*s(49)+1*s(50)+1*s(51)+0
1.52/1.53	  Such that:it(27) =< A-D
1.52/1.53	aux(14) =< -B+1/2
1.52/1.53	aux(15) =< -B+C+1
1.52/1.53	s(47) =< 2*C+2
1.52/1.53	aux(16) =< s(47)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(14)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*s(47)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[27],29]: 1*it(27)+1*s(49)+1*s(50)+1*s(51)+0
1.52/1.53	  Such that:s(47) =< -2*A+2*J
1.52/1.53	aux(15) =< -A-B+J
1.52/1.53	it(27) =< A-D+1
1.52/1.53	aux(14) =< -B+1/2
1.52/1.53	aux(16) =< s(47)*(1/2)
1.52/1.53	s(52) =< it(27)*aux(15)
1.52/1.53	s(50) =< it(27)*aux(14)
1.52/1.53	s(49) =< it(27)*aux(16)
1.52/1.53	s(50) =< s(52)
1.52/1.53	s(49) =< s(52)
1.52/1.53	s(51) =< s(49)*s(47)
1.52/1.53	
1.52/1.53	  with precondition: [G=5,A+1=H,C+1=I,A+C+1=J,0>=2*B+1,C>=0,C>=B+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[26],38]: 1*it(26)+1*s(75)+1*s(76)+0
1.52/1.53	  Such that:it(26) =< A-D+1
1.52/1.53	aux(24) =< -B+C+1
1.52/1.53	s(73) =< 2*C+2
1.52/1.53	aux(24) =< s(73)*(1/2)
1.52/1.53	s(75) =< it(26)*aux(24)
1.52/1.53	s(76) =< s(75)*s(73)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[26],33]: 1*it(26)+1*s(75)+1*s(76)+1*s(77)+1*s(79)+1*s(80)+0
1.52/1.53	  Such that:it(26) =< A-D
1.52/1.53	s(79) =< 2*B+1
1.52/1.53	aux(25) =< -B+C+1
1.52/1.53	aux(26) =< 2*C+2
1.52/1.53	aux(24) =< aux(25)
1.52/1.53	s(77) =< aux(25)
1.52/1.53	s(80) =< s(77)*aux(26)
1.52/1.53	aux(24) =< aux(26)*(1/2)
1.52/1.53	s(75) =< it(26)*aux(24)
1.52/1.53	s(76) =< s(75)*aux(26)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[26],32]: 1*it(26)+1*s(75)+1*s(76)+1*s(81)+2*s(84)+2*s(85)+0
1.52/1.53	  Such that:it(26) =< A-D
1.52/1.53	s(82) =< -B+C
1.52/1.53	aux(24) =< -B+C+1
1.52/1.53	s(81) =< 2*C+1
1.52/1.53	aux(27) =< 2*C+2
1.52/1.53	s(84) =< s(82)
1.52/1.53	s(85) =< s(84)*aux(27)
1.52/1.53	aux(24) =< aux(27)*(1/2)
1.52/1.53	s(75) =< it(26)*aux(24)
1.52/1.53	s(76) =< s(75)*aux(27)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[26],31]: 1*it(26)+1*s(75)+1*s(76)+0
1.52/1.53	  Such that:it(26) =< A-D
1.52/1.53	aux(24) =< -B+C+1
1.52/1.53	s(73) =< 2*C+2
1.52/1.53	aux(24) =< s(73)*(1/2)
1.52/1.53	s(75) =< it(26)*aux(24)
1.52/1.53	s(76) =< s(75)*s(73)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[26],30]: 1*it(26)+1*s(75)+1*s(76)+0
1.52/1.53	  Such that:it(26) =< A-D
1.52/1.53	aux(24) =< -B+C+1
1.52/1.53	s(73) =< 2*C+2
1.52/1.53	aux(24) =< s(73)*(1/2)
1.52/1.53	s(75) =< it(26)*aux(24)
1.52/1.53	s(76) =< s(75)*s(73)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[26],29]: 1*it(26)+1*s(75)+1*s(76)+0
1.52/1.53	  Such that:s(73) =< -2*A+2*J
1.52/1.53	aux(24) =< -A-B+J
1.52/1.53	it(26) =< A-D+1
1.52/1.53	aux(24) =< s(73)*(1/2)
1.52/1.53	s(75) =< it(26)*aux(24)
1.52/1.53	s(76) =< s(75)*s(73)
1.52/1.53	
1.52/1.53	  with precondition: [G=5,A+1=H,C+1=I,A+C+1=J,B>=0,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[25],38]: 1*it(25)+0
1.52/1.53	  Such that:it(25) =< A-D+1
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=C+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [[25],30]: 1*it(25)+0
1.52/1.53	  Such that:it(25) =< A-D
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=C+1,A>=D+1] 
1.52/1.53	
1.52/1.53	* Chain [[25],29]: 1*it(25)+0
1.52/1.53	  Such that:it(25) =< A-D+1
1.52/1.53	
1.52/1.53	  with precondition: [G=5,A+1=H,B=I,F=J,B>=C+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [38]: 0
1.52/1.53	  with precondition: [G=3] 
1.52/1.53	
1.52/1.53	* Chain [37]: 1*s(53)+1*s(54)+1*s(57)+1*s(59)+1*s(60)+0
1.52/1.53	  Such that:s(53) =< 2
1.52/1.53	s(57) =< -B+1/2
1.52/1.53	s(58) =< -B+C
1.52/1.53	s(55) =< -B+C+1
1.52/1.53	s(54) =< C+1
1.52/1.53	s(53) =< 2*C+1
1.52/1.53	s(56) =< 2*C+2
1.52/1.53	s(57) =< s(58)
1.52/1.53	s(59) =< s(58)
1.52/1.53	s(59) =< s(55)
1.52/1.53	s(54) =< s(55)
1.52/1.53	s(60) =< s(54)*s(56)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=0,C>=B+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [36]: 1*s(61)+1*s(62)+2*s(66)+1*s(67)+2*s(68)+0
1.52/1.53	  Such that:s(62) =< -B+1/2
1.52/1.53	s(64) =< -B+C
1.52/1.53	s(63) =< C
1.52/1.53	s(61) =< 2*C+1
1.52/1.53	s(65) =< 2*C+2
1.52/1.53	s(66) =< s(63)
1.52/1.53	s(67) =< s(64)
1.52/1.53	s(66) =< s(64)
1.52/1.53	s(68) =< s(66)*s(65)
1.52/1.53	s(62) =< s(64)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=1,C>=B+2,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [35]: 1*s(37)+0
1.52/1.53	  Such that:s(37) =< -B+1/2
1.52/1.53	s(37) =< -B+C+1
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [34]: 1*s(38)+0
1.52/1.53	  Such that:s(38) =< -B+1/2
1.52/1.53	s(38) =< -B+C
1.52/1.53	
1.52/1.53	  with precondition: [G=3,0>=2*B+1,C>=B+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [33]: 1*s(77)+1*s(79)+1*s(80)+0
1.52/1.53	  Such that:s(77) =< -B+C+1
1.52/1.53	s(79) =< 2*B+1
1.52/1.53	s(78) =< 2*C+2
1.52/1.53	s(80) =< s(77)*s(78)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [32]: 1*s(81)+2*s(84)+2*s(85)+0
1.52/1.53	  Such that:s(82) =< -B+C
1.52/1.53	s(81) =< 2*C+1
1.52/1.53	s(83) =< 2*C+2
1.52/1.53	s(84) =< s(82)
1.52/1.53	s(85) =< s(84)*s(83)
1.52/1.53	
1.52/1.53	  with precondition: [G=3,B>=0,C>=B+1,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [31]: 0
1.52/1.53	  with precondition: [G=3,C>=B,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [30]: 0
1.52/1.53	  with precondition: [G=3,A>=D] 
1.52/1.53	
1.52/1.53	* Chain [29]: 0
1.52/1.53	  with precondition: [G=5,I=E,J=F,D=H,D>=A+1] 
1.52/1.53	
1.52/1.53	
1.52/1.53	#### Cost of chains of evalfbb7in_loop_cont(A,B,C,D,E,F,G,H):
1.52/1.53	* Chain [40]: 0
1.52/1.53	  with precondition: [A=3] 
1.52/1.53	
1.52/1.53	* Chain [39]: 0
1.52/1.53	  with precondition: [A=5] 
1.52/1.53	
1.52/1.53	
1.52/1.53	#### Cost of chains of evalfentryin(A,B,C,D,E,F,G):
1.52/1.53	* Chain [59]: 0
1.52/1.53	  with precondition: [] 
1.52/1.53	
1.52/1.53	* Chain [58]: 1*s(194)+2*s(195)+1*s(197)+1*s(201)+1*s(202)+1*s(203)+2*s(206)+2*s(207)+2*s(208)+0
1.52/1.53	  Such that:s(194) =< 2
1.52/1.53	s(196) =< -C+D
1.52/1.53	s(197) =< D+1
1.52/1.53	s(194) =< 2*D+1
1.52/1.53	aux(43) =< -A+B+1
1.52/1.53	aux(44) =< -C+1/2
1.52/1.53	aux(45) =< -C+D+1
1.52/1.53	aux(46) =< 2*D+2
1.52/1.53	s(195) =< aux(43)
1.52/1.53	s(201) =< aux(44)
1.52/1.53	s(201) =< s(196)
1.52/1.53	s(202) =< s(196)
1.52/1.53	s(202) =< aux(45)
1.52/1.53	s(197) =< aux(45)
1.52/1.53	s(203) =< s(197)*aux(46)
1.52/1.53	s(204) =< aux(46)*(1/2)
1.52/1.53	s(205) =< s(195)*aux(45)
1.52/1.53	s(206) =< s(195)*aux(44)
1.52/1.53	s(207) =< s(195)*s(204)
1.52/1.53	s(206) =< s(205)
1.52/1.53	s(207) =< s(205)
1.52/1.53	s(208) =< s(207)*aux(46)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*C+1,D>=0,B>=A,D>=C+1] 
1.52/1.53	
1.52/1.53	* Chain [57]: 1*s(218)+1*s(219)+5*s(225)+2*s(226)+1*s(227)+1*s(228)+5*s(231)+5*s(232)+5*s(233)+1*s(234)+0
1.52/1.53	  Such that:s(218) =< 2
1.52/1.53	s(220) =< -A+B
1.52/1.53	s(221) =< -C+1/2
1.52/1.53	s(222) =< -C+D
1.52/1.53	s(223) =< -C+D+1
1.52/1.53	s(219) =< D+1
1.52/1.53	s(218) =< 2*D+1
1.52/1.53	s(224) =< 2*D+2
1.52/1.53	s(225) =< s(220)
1.52/1.53	s(226) =< s(222)
1.52/1.53	s(226) =< s(221)
1.52/1.53	s(227) =< s(222)
1.52/1.53	s(227) =< s(223)
1.52/1.53	s(219) =< s(223)
1.52/1.53	s(228) =< s(219)*s(224)
1.52/1.53	s(229) =< s(224)*(1/2)
1.52/1.53	s(230) =< s(225)*s(223)
1.52/1.53	s(231) =< s(225)*s(221)
1.52/1.53	s(232) =< s(225)*s(229)
1.52/1.53	s(231) =< s(230)
1.52/1.53	s(232) =< s(230)
1.52/1.53	s(233) =< s(232)*s(224)
1.52/1.53	s(234) =< s(221)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*C+1,D>=0,B>=A+1,D>=C+1] 
1.52/1.53	
1.52/1.53	* Chain [56]: 1*s(235)+1*s(238)+2*s(240)+1*s(241)+2*s(242)+0
1.52/1.53	  Such that:s(235) =< -C+1/2
1.52/1.53	s(236) =< -C+D
1.52/1.53	s(237) =< D
1.52/1.53	s(238) =< 2*D+1
1.52/1.53	s(239) =< 2*D+2
1.52/1.53	s(240) =< s(237)
1.52/1.53	s(241) =< s(236)
1.52/1.53	s(240) =< s(236)
1.52/1.53	s(242) =< s(240)*s(239)
1.52/1.53	s(235) =< s(236)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*C+1,D>=1,B>=A,D>=C+2] 
1.52/1.53	
1.52/1.53	* Chain [55]: 1*s(243)+1*s(247)+1*s(250)+2*s(251)+1*s(252)+2*s(253)+1*s(256)+1*s(257)+1*s(258)+0
1.52/1.53	  Such that:s(243) =< -A+B
1.52/1.53	s(248) =< -C+1/2
1.52/1.53	s(244) =< -C+D
1.52/1.53	s(245) =< -C+D+1
1.52/1.53	s(246) =< D
1.52/1.53	s(247) =< 2*D+1
1.52/1.53	s(249) =< 2*D+2
1.52/1.53	s(250) =< s(248)
1.52/1.53	s(251) =< s(246)
1.52/1.53	s(252) =< s(244)
1.52/1.53	s(251) =< s(244)
1.52/1.53	s(253) =< s(251)*s(249)
1.52/1.53	s(250) =< s(244)
1.52/1.53	s(254) =< s(249)*(1/2)
1.52/1.53	s(255) =< s(243)*s(245)
1.52/1.53	s(256) =< s(243)*s(248)
1.52/1.53	s(257) =< s(243)*s(254)
1.52/1.53	s(256) =< s(255)
1.52/1.53	s(257) =< s(255)
1.52/1.53	s(258) =< s(257)*s(249)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*C+1,D>=1,B>=A+1,D>=C+2] 
1.52/1.53	
1.52/1.53	* Chain [54]: 1*s(259)+0
1.52/1.53	  Such that:s(259) =< -C+1/2
1.52/1.53	s(259) =< -C+D+1
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*C+1,B>=A,D>=C] 
1.52/1.53	
1.52/1.53	* Chain [53]: 1*s(260)+0
1.52/1.53	  Such that:s(260) =< -C+1/2
1.52/1.53	s(260) =< -C+D
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*C+1,B>=A,D>=C+1] 
1.52/1.53	
1.52/1.53	* Chain [52]: 2*s(261)+2*s(263)+0
1.52/1.53	  Such that:aux(47) =< -A+B+1
1.52/1.53	aux(48) =< -C+D+1
1.52/1.53	s(261) =< aux(47)
1.52/1.53	s(263) =< s(261)*aux(48)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*D+1,B>=A,D>=C] 
1.52/1.53	
1.52/1.53	* Chain [51]: 3*s(269)+3*s(270)+1*s(271)+0
1.52/1.53	  Such that:s(267) =< -A+B
1.52/1.53	s(268) =< -C+D+1
1.52/1.53	s(269) =< s(267)
1.52/1.53	s(270) =< s(269)*s(268)
1.52/1.53	s(271) =< s(268)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*D+1,B>=A+1,D>=C] 
1.52/1.53	
1.52/1.53	* Chain [50]: 1*s(272)+1*s(273)+1*s(275)+0
1.52/1.53	  Such that:s(272) =< -A+B
1.52/1.53	s(273) =< -C+D
1.52/1.53	s(274) =< -C+D+1
1.52/1.53	s(275) =< s(272)*s(274)
1.52/1.53	
1.52/1.53	  with precondition: [0>=2*D+1,B>=A+1,D>=C+1] 
1.52/1.53	
1.52/1.53	* Chain [49]: 2*s(276)+1*s(277)+1*s(280)+2*s(282)+2*s(283)+1*s(284)+0
1.52/1.53	  Such that:s(277) =< 2*C+1
1.52/1.53	aux(49) =< -A+B+1
1.52/1.53	aux(50) =< -C+D+1
1.52/1.53	aux(51) =< 2*D+2
1.52/1.53	s(276) =< aux(49)
1.52/1.53	s(281) =< aux(50)
1.52/1.53	s(280) =< aux(50)
1.52/1.53	s(281) =< aux(51)*(1/2)
1.52/1.53	s(282) =< s(276)*s(281)
1.52/1.53	s(283) =< s(282)*aux(51)
1.52/1.53	s(284) =< s(280)*aux(51)
1.52/1.53	
1.52/1.53	  with precondition: [C>=0,B>=A,D>=C] 
1.52/1.53	
1.52/1.53	* Chain [48]: 1*s(291)+2*s(293)+2*s(294)+0
1.52/1.53	  Such that:s(290) =< -C+D
1.52/1.53	s(291) =< 2*D+1
1.52/1.53	s(292) =< 2*D+2
1.52/1.53	s(293) =< s(290)
1.52/1.53	s(294) =< s(293)*s(292)
1.52/1.53	
1.52/1.53	  with precondition: [C>=0,B>=A,D>=C+1] 
1.52/1.53	
1.52/1.53	* Chain [47]: 1*s(295)+3*s(299)+3*s(301)+3*s(302)+1*s(303)+1*s(304)+0
1.52/1.53	  Such that:s(296) =< -A+B
1.52/1.53	s(297) =< -C+D+1
1.52/1.53	s(295) =< 2*C+1
1.52/1.53	s(298) =< 2*D+2
1.52/1.53	s(299) =< s(296)
1.52/1.54	s(300) =< s(297)
1.52/1.54	s(300) =< s(298)*(1/2)
1.52/1.54	s(301) =< s(299)*s(300)
1.52/1.54	s(302) =< s(301)*s(298)
1.52/1.54	s(303) =< s(297)
1.52/1.54	s(304) =< s(303)*s(298)
1.52/1.54	
1.52/1.54	  with precondition: [C>=0,B>=A+1,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [46]: 1*s(305)+1*s(308)+2*s(310)+2*s(311)+1*s(312)+1*s(313)+0
1.52/1.54	  Such that:s(305) =< -A+B
1.52/1.54	s(306) =< -C+D
1.52/1.54	s(307) =< -C+D+1
1.52/1.54	s(308) =< 2*D+1
1.52/1.54	s(309) =< 2*D+2
1.52/1.54	s(310) =< s(306)
1.52/1.54	s(311) =< s(310)*s(309)
1.52/1.54	s(307) =< s(309)*(1/2)
1.52/1.54	s(312) =< s(305)*s(307)
1.52/1.54	s(313) =< s(312)*s(309)
1.52/1.54	
1.52/1.54	  with precondition: [C>=0,B>=A+1,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [45]: 0
1.52/1.54	  with precondition: [B>=A] 
1.52/1.54	
1.52/1.54	* Chain [44]: 0
1.52/1.54	  with precondition: [B>=A,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [43]: 2*s(314)+0
1.52/1.54	  Such that:aux(52) =< -A+B+1
1.52/1.54	s(314) =< aux(52)
1.52/1.54	
1.52/1.54	  with precondition: [B>=A,C>=D+1] 
1.52/1.54	
1.52/1.54	* Chain [42]: 1*s(316)+0
1.52/1.54	  Such that:s(316) =< -A+B
1.52/1.54	
1.52/1.54	  with precondition: [B>=A+1,C>=D+1] 
1.52/1.54	
1.52/1.54	* Chain [41]: 0
1.52/1.54	  with precondition: [A>=B+1] 
1.52/1.54	
1.52/1.54	
1.52/1.54	#### Cost of chains of evalfstart(A,B,C,D,E,F,G):
1.52/1.54	* Chain [78]: 0
1.52/1.54	  with precondition: [] 
1.52/1.54	
1.52/1.54	* Chain [77]: 1*s(317)+1*s(319)+2*s(324)+1*s(325)+1*s(326)+1*s(327)+2*s(330)+2*s(331)+2*s(332)+0
1.52/1.54	  Such that:s(317) =< 2
1.52/1.54	s(320) =< -A+B+1
1.52/1.54	s(321) =< -C+1/2
1.52/1.54	s(318) =< -C+D
1.52/1.54	s(322) =< -C+D+1
1.52/1.54	s(319) =< D+1
1.52/1.54	s(317) =< 2*D+1
1.52/1.54	s(323) =< 2*D+2
1.52/1.54	s(324) =< s(320)
1.52/1.54	s(325) =< s(321)
1.52/1.54	s(325) =< s(318)
1.52/1.54	s(326) =< s(318)
1.52/1.54	s(326) =< s(322)
1.52/1.54	s(319) =< s(322)
1.52/1.54	s(327) =< s(319)*s(323)
1.52/1.54	s(328) =< s(323)*(1/2)
1.52/1.54	s(329) =< s(324)*s(322)
1.52/1.54	s(330) =< s(324)*s(321)
1.52/1.54	s(331) =< s(324)*s(328)
1.52/1.54	s(330) =< s(329)
1.52/1.54	s(331) =< s(329)
1.52/1.54	s(332) =< s(331)*s(323)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*C+1,D>=0,B>=A,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [76]: 1*s(333)+1*s(338)+5*s(340)+2*s(341)+1*s(342)+1*s(343)+5*s(346)+5*s(347)+5*s(348)+1*s(349)+0
1.52/1.54	  Such that:s(333) =< 2
1.52/1.54	s(334) =< -A+B
1.52/1.54	s(335) =< -C+1/2
1.52/1.54	s(336) =< -C+D
1.52/1.54	s(337) =< -C+D+1
1.52/1.54	s(338) =< D+1
1.52/1.54	s(333) =< 2*D+1
1.52/1.54	s(339) =< 2*D+2
1.52/1.54	s(340) =< s(334)
1.52/1.54	s(341) =< s(336)
1.52/1.54	s(341) =< s(335)
1.52/1.54	s(342) =< s(336)
1.52/1.54	s(342) =< s(337)
1.52/1.54	s(338) =< s(337)
1.52/1.54	s(343) =< s(338)*s(339)
1.52/1.54	s(344) =< s(339)*(1/2)
1.52/1.54	s(345) =< s(340)*s(337)
1.52/1.54	s(346) =< s(340)*s(335)
1.52/1.54	s(347) =< s(340)*s(344)
1.52/1.54	s(346) =< s(345)
1.52/1.54	s(347) =< s(345)
1.52/1.54	s(348) =< s(347)*s(339)
1.52/1.54	s(349) =< s(335)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*C+1,D>=0,B>=A+1,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [75]: 1*s(350)+1*s(353)+2*s(355)+1*s(356)+2*s(357)+0
1.52/1.54	  Such that:s(350) =< -C+1/2
1.52/1.54	s(351) =< -C+D
1.52/1.54	s(352) =< D
1.52/1.54	s(353) =< 2*D+1
1.52/1.54	s(354) =< 2*D+2
1.52/1.54	s(355) =< s(352)
1.52/1.54	s(356) =< s(351)
1.52/1.54	s(355) =< s(351)
1.52/1.54	s(357) =< s(355)*s(354)
1.52/1.54	s(350) =< s(351)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*C+1,D>=1,B>=A,D>=C+2] 
1.52/1.54	
1.52/1.54	* Chain [74]: 1*s(358)+1*s(363)+1*s(365)+2*s(366)+1*s(367)+2*s(368)+1*s(371)+1*s(372)+1*s(373)+0
1.52/1.54	  Such that:s(358) =< -A+B
1.52/1.54	s(359) =< -C+1/2
1.52/1.54	s(360) =< -C+D
1.52/1.54	s(361) =< -C+D+1
1.52/1.54	s(362) =< D
1.52/1.54	s(363) =< 2*D+1
1.52/1.54	s(364) =< 2*D+2
1.52/1.54	s(365) =< s(359)
1.52/1.54	s(366) =< s(362)
1.52/1.54	s(367) =< s(360)
1.52/1.54	s(366) =< s(360)
1.52/1.54	s(368) =< s(366)*s(364)
1.52/1.54	s(365) =< s(360)
1.52/1.54	s(369) =< s(364)*(1/2)
1.52/1.54	s(370) =< s(358)*s(361)
1.52/1.54	s(371) =< s(358)*s(359)
1.52/1.54	s(372) =< s(358)*s(369)
1.52/1.54	s(371) =< s(370)
1.52/1.54	s(372) =< s(370)
1.52/1.54	s(373) =< s(372)*s(364)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*C+1,D>=1,B>=A+1,D>=C+2] 
1.52/1.54	
1.52/1.54	* Chain [73]: 1*s(374)+0
1.52/1.54	  Such that:s(374) =< -C+1/2
1.52/1.54	s(374) =< -C+D+1
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*C+1,B>=A,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [72]: 1*s(375)+0
1.52/1.54	  Such that:s(375) =< -C+1/2
1.52/1.54	s(375) =< -C+D
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*C+1,B>=A,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [71]: 2*s(378)+2*s(379)+0
1.52/1.54	  Such that:s(376) =< -A+B+1
1.52/1.54	s(377) =< -C+D+1
1.52/1.54	s(378) =< s(376)
1.52/1.54	s(379) =< s(378)*s(377)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*D+1,B>=A,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [70]: 3*s(382)+3*s(383)+1*s(384)+0
1.52/1.54	  Such that:s(380) =< -A+B
1.52/1.54	s(381) =< -C+D+1
1.52/1.54	s(382) =< s(380)
1.52/1.54	s(383) =< s(382)*s(381)
1.52/1.54	s(384) =< s(381)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*D+1,B>=A+1,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [69]: 1*s(385)+1*s(386)+1*s(388)+0
1.52/1.54	  Such that:s(385) =< -A+B
1.52/1.54	s(386) =< -C+D
1.52/1.54	s(387) =< -C+D+1
1.52/1.54	s(388) =< s(385)*s(387)
1.52/1.54	
1.52/1.54	  with precondition: [0>=2*D+1,B>=A+1,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [68]: 1*s(389)+2*s(393)+1*s(395)+2*s(396)+2*s(397)+1*s(398)+0
1.52/1.54	  Such that:s(390) =< -A+B+1
1.52/1.54	s(391) =< -C+D+1
1.52/1.54	s(389) =< 2*C+1
1.52/1.54	s(392) =< 2*D+2
1.52/1.54	s(393) =< s(390)
1.52/1.54	s(394) =< s(391)
1.52/1.54	s(395) =< s(391)
1.52/1.54	s(394) =< s(392)*(1/2)
1.52/1.54	s(396) =< s(393)*s(394)
1.52/1.54	s(397) =< s(396)*s(392)
1.52/1.54	s(398) =< s(395)*s(392)
1.52/1.54	
1.52/1.54	  with precondition: [C>=0,B>=A,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [67]: 1*s(400)+2*s(402)+2*s(403)+0
1.52/1.54	  Such that:s(399) =< -C+D
1.52/1.54	s(400) =< 2*D+1
1.52/1.54	s(401) =< 2*D+2
1.52/1.54	s(402) =< s(399)
1.52/1.54	s(403) =< s(402)*s(401)
1.52/1.54	
1.52/1.54	  with precondition: [C>=0,B>=A,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [66]: 1*s(406)+3*s(408)+3*s(410)+3*s(411)+1*s(412)+1*s(413)+0
1.52/1.54	  Such that:s(404) =< -A+B
1.52/1.54	s(405) =< -C+D+1
1.52/1.54	s(406) =< 2*C+1
1.52/1.54	s(407) =< 2*D+2
1.52/1.54	s(408) =< s(404)
1.52/1.54	s(409) =< s(405)
1.52/1.54	s(409) =< s(407)*(1/2)
1.52/1.54	s(410) =< s(408)*s(409)
1.52/1.54	s(411) =< s(410)*s(407)
1.52/1.54	s(412) =< s(405)
1.52/1.54	s(413) =< s(412)*s(407)
1.52/1.54	
1.52/1.54	  with precondition: [C>=0,B>=A+1,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [65]: 1*s(414)+1*s(417)+2*s(419)+2*s(420)+1*s(421)+1*s(422)+0
1.52/1.54	  Such that:s(414) =< -A+B
1.52/1.54	s(415) =< -C+D
1.52/1.54	s(416) =< -C+D+1
1.52/1.54	s(417) =< 2*D+1
1.52/1.54	s(418) =< 2*D+2
1.52/1.54	s(419) =< s(415)
1.52/1.54	s(420) =< s(419)*s(418)
1.52/1.54	s(416) =< s(418)*(1/2)
1.52/1.54	s(421) =< s(414)*s(416)
1.52/1.54	s(422) =< s(421)*s(418)
1.52/1.54	
1.52/1.54	  with precondition: [C>=0,B>=A+1,D>=C+1] 
1.52/1.54	
1.52/1.54	* Chain [64]: 0
1.52/1.54	  with precondition: [B>=A] 
1.52/1.54	
1.52/1.54	* Chain [63]: 0
1.52/1.54	  with precondition: [B>=A,D>=C] 
1.52/1.54	
1.52/1.54	* Chain [62]: 2*s(424)+0
1.52/1.54	  Such that:s(423) =< -A+B+1
1.52/1.54	s(424) =< s(423)
1.52/1.54	
1.52/1.54	  with precondition: [B>=A,C>=D+1] 
1.52/1.54	
1.52/1.54	* Chain [61]: 1*s(425)+0
1.52/1.54	  Such that:s(425) =< -A+B
1.52/1.54	
1.52/1.54	  with precondition: [B>=A+1,C>=D+1] 
1.52/1.54	
1.52/1.54	* Chain [60]: 0
1.52/1.54	  with precondition: [A>=B+1] 
1.52/1.54	
1.52/1.54	
1.52/1.54	Closed-form bounds of evalfstart(A,B,C,D,E,F,G): 
1.52/1.54	-------------------------------------
1.52/1.54	* Chain [78] with precondition: [] 
1.52/1.54	    - Upper bound: 0 
1.52/1.54	    - Complexity: constant 
1.52/1.54	* Chain [77] with precondition: [0>=2*C+1,D>=0,B>=A,D>=C+1] 
1.52/1.54	    - Upper bound: D+3+(2*D+2)*(D+1)+(-C+D)+(-C+1/2)+(-A+B+1)*(-2*C+1)+(-A+B+1)*((2*D+2)*(2*D+2))+(-A+B+1)*(2*D+2)+(-2*A+2*B+2) 
1.52/1.54	    - Complexity: n^3 
1.52/1.54	* Chain [76] with precondition: [0>=2*C+1,D>=0,B>=A+1,D>=C+1] 
1.52/1.54	    - Upper bound: D+3+(2*D+2)*(D+1)+(-5*A+5*B)+(-5*A+5*B)*(-C+1/2)+(-5/2*A+5/2*B)*(2*D+2)+(2*D+2)*((-5/2*A+5/2*B)*(2*D+2))+(-3*C+3*D)+(-C+1/2) 
1.52/1.54	    - Complexity: n^3 
1.52/1.54	* Chain [75] with precondition: [0>=2*C+1,D>=1,B>=A,D>=C+2] 
1.52/1.54	    - Upper bound: (2*D+2)*(2*D)+2*D+(-C+D)+(-C+1/2)+(2*D+1) 
1.52/1.54	    - Complexity: n^2 
1.52/1.54	* Chain [74] with precondition: [0>=2*C+1,D>=1,B>=A+1,D>=C+2] 
1.52/1.54	    - Upper bound: (2*D+2)*(2*D)+2*D+(-A+B)+(-C+1/2)*(-A+B)+(-A/2+B/2)*(2*D+2)+(2*D+2)*((-A/2+B/2)*(2*D+2))+(-C+D)+(-C+1/2)+(2*D+1) 
1.52/1.54	    - Complexity: n^3 
1.52/1.54	* Chain [73] with precondition: [0>=2*C+1,B>=A,D>=C] 
1.52/1.54	    - Upper bound: -C+1/2 
1.52/1.54	    - Complexity: n 
1.52/1.54	* Chain [72] with precondition: [0>=2*C+1,B>=A,D>=C+1] 
1.52/1.54	    - Upper bound: -C+1/2 
1.52/1.54	    - Complexity: n 
1.52/1.54	* Chain [71] with precondition: [0>=2*D+1,B>=A,D>=C] 
1.52/1.54	    - Upper bound: -2*A+2*B+2+(-2*A+2*B+2)*(-C+D+1) 
1.52/1.54	    - Complexity: n^2 
1.52/1.54	* Chain [70] with precondition: [0>=2*D+1,B>=A+1,D>=C] 
1.52/1.54	    - Upper bound: -3*A+3*B+(-C+D+1)*(-3*A+3*B)+(-C+D+1) 
1.52/1.54	    - Complexity: n^2 
1.52/1.54	* Chain [69] with precondition: [0>=2*D+1,B>=A+1,D>=C+1] 
1.52/1.54	    - Upper bound: -A+B+(-C+D+1)*(-A+B)+(-C+D) 
1.52/1.54	    - Complexity: n^2 
1.52/1.54	* Chain [68] with precondition: [C>=0,B>=A,D>=C] 
1.52/1.54	    - Upper bound: 2*C+1+(-C+D+1)*((-A+B+1)*(4*D+4))+(-C+D+1)*(2*D+2)+(-2*A+2*B+2)+(-2*A+2*B+2)*(-C+D+1)+(-C+D+1) 
1.52/1.54	    - Complexity: n^3 
1.52/1.54	* Chain [67] with precondition: [C>=0,B>=A,D>=C+1] 
1.52/1.54	    - Upper bound: -2*C+2*D+(2*D+2)*(-2*C+2*D)+(2*D+1) 
1.52/1.54	    - Complexity: n^2 
1.52/1.54	* Chain [66] with precondition: [C>=0,B>=A+1,D>=C] 
1.52/1.54	    - Upper bound: -3*A+3*B+(-C+D+1)*((2*D+2)*(-3*A+3*B))+(-C+D+1)*(-3*A+3*B)+(2*C+1)+(-C+D+1)*(2*D+2)+(-C+D+1) 
1.52/1.54	    - Complexity: n^3 
1.52/1.54	* Chain [65] with precondition: [C>=0,B>=A+1,D>=C+1] 
1.52/1.54	    - Upper bound: -A+B+(-C+D+1)*((2*D+2)*(-A+B))+(-C+D+1)*(-A+B)+(-2*C+2*D)+(2*D+2)*(-2*C+2*D)+(2*D+1) 
1.52/1.54	    - Complexity: n^3 
1.52/1.54	* Chain [64] with precondition: [B>=A] 
1.52/1.54	    - Upper bound: 0 
1.52/1.54	    - Complexity: constant 
1.52/1.54	* Chain [63] with precondition: [B>=A,D>=C] 
1.52/1.54	    - Upper bound: 0 
1.52/1.54	    - Complexity: constant 
1.52/1.54	* Chain [62] with precondition: [B>=A,C>=D+1] 
1.52/1.54	    - Upper bound: -2*A+2*B+2 
1.52/1.54	    - Complexity: n 
1.52/1.54	* Chain [61] with precondition: [B>=A+1,C>=D+1] 
1.52/1.54	    - Upper bound: -A+B 
1.52/1.54	    - Complexity: n 
1.52/1.54	* Chain [60] with precondition: [A>=B+1] 
1.52/1.54	    - Upper bound: 0 
1.52/1.54	    - Complexity: constant 
1.52/1.54	
1.52/1.54	### Maximum cost of evalfstart(A,B,C,D,E,F,G): max([max([max([nat(-C+1/2),nat(2*D+1)+nat(-C+D)+max([nat(-C+D)*2*nat(2*D+2)+nat(-C+D),nat(D)*2*nat(2*D+2)+nat(D)*2+nat(-C+1/2)])]),nat(-A+B+1)*2+max([nat(2*D+2)*2*nat(-A+B+1)*nat(-C+D+1)+nat(2*C+1)+nat(-C+D+1)*nat(2*D+2)+nat(-C+D+1)+nat(-A+B+1)*2*nat(-C+D+1),nat(D+1)+2+nat(2*D+2)*nat(D+1)+nat(-C+D)+nat(-C+1/2)+nat(-C+1/2)*2*nat(-A+B+1)+nat(2*D+2)*nat(2*D+2)*nat(-A+B+1)+nat(-A+B+1)*nat(2*D+2)])]),nat(-A+B)+max([nat(-C+D+1)*nat(-A+B)+max([nat(-A+B)*3*nat(2*D+2)*nat(-C+D+1)+nat(2*C+1)+nat(-C+D+1)*nat(2*D+2)+(nat(-A+B)*2*nat(-C+D+1)+nat(-A+B)*2+nat(-C+D+1)),nat(2*D+2)*nat(-A+B)*nat(-C+D+1)+nat(-C+D)+nat(-C+D)*2*nat(2*D+2)+nat(2*D+1)+nat(-C+D)]),1/2*nat(-A+B)*nat(2*D+2)+nat(-C+1/2)*nat(-A+B)+1/2*nat(-A+B)*nat(2*D+2)*nat(2*D+2)+nat(-C+D)+nat(-C+1/2)+max([nat(D)*2*nat(2*D+2)+nat(D)*2+nat(2*D+1),nat(D+1)+2+nat(2*D+2)*nat(D+1)+nat(-A+B)*4+nat(-A+B)*4*nat(-C+1/2)+nat(-A+B)*2*nat(2*D+2)+nat(-A+B)*2*nat(2*D+2)*nat(2*D+2)+nat(-C+D)*2])])]) 
1.52/1.54	Asymptotic class: n^3 
1.52/1.54	* Total analysis performed in 1411 ms.
1.52/1.54	
1.54/1.64	EOF