1.87/1.88	WORST_CASE(?,O(n^3))  
1.87/1.88	
1.87/1.88	Preprocessing Cost Relations
1.87/1.88	=====================================
1.87/1.88	
1.87/1.88	#### Computed strongly connected components 
1.87/1.88	0. recursive  : [eval_abc_bb4_in/5,eval_abc_bb5_in/5]
1.87/1.88	1. recursive  : [eval_abc_16/9,eval_abc_17/9,eval_abc_bb2_in/9,eval_abc_bb3_in/9,eval_abc_bb4_in_loop_cont/10,eval_abc_bb6_in/9]
1.87/1.88	2. recursive  : [eval_abc_19/14,eval_abc_20/14,eval_abc_bb1_in/14,eval_abc_bb2_in_loop_cont/15,eval_abc_bb7_in/14]
1.87/1.88	3. non_recursive  : [eval_abc_stop/10]
1.87/1.88	4. non_recursive  : [eval_abc_bb8_in/10]
1.87/1.88	5. non_recursive  : [exit_location/1]
1.87/1.88	6. non_recursive  : [eval_abc_bb1_in_loop_cont/11]
1.87/1.88	7. non_recursive  : [eval_abc_8/10]
1.87/1.88	8. non_recursive  : [eval_abc_7/10]
1.87/1.88	9. non_recursive  : [eval_abc_6/10]
1.87/1.88	10. non_recursive  : [eval_abc_5/10]
1.87/1.88	11. non_recursive  : [eval_abc_4/10]
1.87/1.88	12. non_recursive  : [eval_abc_3/10]
1.87/1.88	13. non_recursive  : [eval_abc_2/10]
1.87/1.88	14. non_recursive  : [eval_abc_1/10]
1.87/1.88	15. non_recursive  : [eval_abc_0/10]
1.87/1.88	16. non_recursive  : [eval_abc_bb0_in/10]
1.87/1.88	17. non_recursive  : [eval_abc_start/10]
1.87/1.88	
1.87/1.88	#### Obtained direct recursion through partial evaluation 
1.87/1.88	0. SCC is partially evaluated into eval_abc_bb4_in/5
1.87/1.88	1. SCC is partially evaluated into eval_abc_bb2_in/9
1.87/1.88	2. SCC is partially evaluated into eval_abc_bb1_in/14
1.87/1.88	3. SCC is completely evaluated into other SCCs
1.87/1.88	4. SCC is completely evaluated into other SCCs
1.87/1.88	5. SCC is completely evaluated into other SCCs
1.87/1.88	6. SCC is partially evaluated into eval_abc_bb1_in_loop_cont/11
1.87/1.88	7. SCC is partially evaluated into eval_abc_8/10
1.87/1.88	8. SCC is completely evaluated into other SCCs
1.87/1.88	9. SCC is completely evaluated into other SCCs
1.87/1.88	10. SCC is completely evaluated into other SCCs
1.87/1.88	11. SCC is completely evaluated into other SCCs
1.87/1.88	12. SCC is completely evaluated into other SCCs
1.87/1.88	13. SCC is completely evaluated into other SCCs
1.87/1.88	14. SCC is completely evaluated into other SCCs
1.87/1.88	15. SCC is completely evaluated into other SCCs
1.87/1.88	16. SCC is completely evaluated into other SCCs
1.87/1.88	17. SCC is partially evaluated into eval_abc_start/10
1.87/1.88	
1.87/1.88	Control-Flow Refinement of Cost Relations
1.87/1.88	=====================================
1.87/1.88	
1.87/1.88	### Specialization of cost equations eval_abc_bb4_in/5 
1.87/1.88	* CE 15 is refined into CE [16] 
1.87/1.88	* CE 14 is refined into CE [17] 
1.87/1.88	* CE 13 is refined into CE [18] 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Cost equations --> "Loop" of eval_abc_bb4_in/5 
1.87/1.88	* CEs [18] --> Loop 16 
1.87/1.88	* CEs [16] --> Loop 17 
1.87/1.88	* CEs [17] --> Loop 18 
1.87/1.88	
1.87/1.88	### Ranking functions of CR eval_abc_bb4_in(V_i_0,V_j_0,V_k_0,B,C) 
1.87/1.88	* RF of phase [16]: [V_i_0+V_j_0-V_k_0+1]
1.87/1.88	
1.87/1.88	#### Partial ranking functions of CR eval_abc_bb4_in(V_i_0,V_j_0,V_k_0,B,C) 
1.87/1.88	* Partial RF of phase [16]:
1.87/1.88	  - RF of loop [16:1]:
1.87/1.88	    V_i_0+V_j_0-V_k_0+1
1.87/1.88	
1.87/1.88	
1.87/1.88	### Specialization of cost equations eval_abc_bb2_in/9 
1.87/1.88	* CE 11 is refined into CE [19] 
1.87/1.88	* CE 9 is refined into CE [20,21] 
1.87/1.88	* CE 12 is refined into CE [22] 
1.87/1.88	* CE 10 is refined into CE [23,24] 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Cost equations --> "Loop" of eval_abc_bb2_in/9 
1.87/1.88	* CEs [24] --> Loop 19 
1.87/1.88	* CEs [23] --> Loop 20 
1.87/1.88	* CEs [19] --> Loop 21 
1.87/1.88	* CEs [20] --> Loop 22 
1.87/1.88	* CEs [21] --> Loop 23 
1.87/1.88	* CEs [22] --> Loop 24 
1.87/1.88	
1.87/1.88	### Ranking functions of CR eval_abc_bb2_in(V_6,V_d,V_i_0,V_j_0,V_k_0,B,C,D,E) 
1.87/1.88	* RF of phase [19]: [V_d-V_j_0+1]
1.87/1.88	* RF of phase [20]: [V_d-V_j_0+1,-V_j_0+1]
1.87/1.88	
1.87/1.88	#### Partial ranking functions of CR eval_abc_bb2_in(V_6,V_d,V_i_0,V_j_0,V_k_0,B,C,D,E) 
1.87/1.88	* Partial RF of phase [19]:
1.87/1.88	  - RF of loop [19:1]:
1.87/1.88	    V_d-V_j_0+1
1.87/1.88	* Partial RF of phase [20]:
1.87/1.88	  - RF of loop [20:1]:
1.87/1.88	    V_d-V_j_0+1
1.87/1.88	    -V_j_0+1
1.87/1.88	
1.87/1.88	
1.87/1.88	### Specialization of cost equations eval_abc_bb1_in/14 
1.87/1.88	* CE 5 is refined into CE [25] 
1.87/1.88	* CE 3 is refined into CE [26,27,28,29,30,31,32,33] 
1.87/1.88	* CE 6 is refined into CE [34] 
1.87/1.88	* CE 4 is refined into CE [35,36,37,38] 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Cost equations --> "Loop" of eval_abc_bb1_in/14 
1.87/1.88	* CEs [35] --> Loop 25 
1.87/1.88	* CEs [38] --> Loop 26 
1.87/1.88	* CEs [36] --> Loop 27 
1.87/1.88	* CEs [37] --> Loop 28 
1.87/1.88	* CEs [25] --> Loop 29 
1.87/1.88	* CEs [26] --> Loop 30 
1.87/1.88	* CEs [33] --> Loop 31 
1.87/1.88	* CEs [32] --> Loop 32 
1.87/1.88	* CEs [31] --> Loop 33 
1.87/1.88	* CEs [30] --> Loop 34 
1.87/1.88	* CEs [29] --> Loop 35 
1.87/1.88	* CEs [28] --> Loop 36 
1.87/1.88	* CEs [27] --> Loop 37 
1.87/1.88	* CEs [34] --> Loop 38 
1.87/1.88	
1.87/1.88	### Ranking functions of CR eval_abc_bb1_in(V_6,V_7,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B,C,D,E,F,G) 
1.87/1.88	* RF of phase [25]: [V_b-V_i_0+1]
1.87/1.88	* RF of phase [26]: [V_b-V_i_0+1]
1.87/1.88	* RF of phase [27]: [V_b-V_i_0+1]
1.87/1.88	* RF of phase [28]: [V_b-V_i_0+1]
1.87/1.88	
1.87/1.88	#### Partial ranking functions of CR eval_abc_bb1_in(V_6,V_7,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B,C,D,E,F,G) 
1.87/1.88	* Partial RF of phase [25]:
1.87/1.88	  - RF of loop [25:1]:
1.87/1.88	    V_b-V_i_0+1
1.87/1.88	* Partial RF of phase [26]:
1.87/1.88	  - RF of loop [26:1]:
1.87/1.88	    V_b-V_i_0+1
1.87/1.88	* Partial RF of phase [27]:
1.87/1.88	  - RF of loop [27:1]:
1.87/1.88	    V_b-V_i_0+1
1.87/1.88	* Partial RF of phase [28]:
1.87/1.88	  - RF of loop [28:1]:
1.87/1.88	    V_b-V_i_0+1
1.87/1.88	
1.87/1.88	
1.87/1.88	### Specialization of cost equations eval_abc_bb1_in_loop_cont/11 
1.87/1.88	* CE 7 is refined into CE [39] 
1.87/1.88	* CE 8 is refined into CE [40] 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Cost equations --> "Loop" of eval_abc_bb1_in_loop_cont/11 
1.87/1.88	* CEs [39] --> Loop 39 
1.87/1.88	* CEs [40] --> Loop 40 
1.87/1.88	
1.87/1.88	### Ranking functions of CR eval_abc_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K) 
1.87/1.88	
1.87/1.88	#### Partial ranking functions of CR eval_abc_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K) 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Specialization of cost equations eval_abc_8/10 
1.87/1.88	* 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] 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Cost equations --> "Loop" of eval_abc_8/10 
1.87/1.88	* CEs [59] --> Loop 41 
1.87/1.88	* CEs [57] --> Loop 42 
1.87/1.88	* CEs [56,60] --> Loop 43 
1.87/1.88	* CEs [55] --> Loop 44 
1.87/1.88	* CEs [58] --> Loop 45 
1.87/1.88	* CEs [54] --> Loop 46 
1.87/1.88	* CEs [52] --> Loop 47 
1.87/1.88	* CEs [53] --> Loop 48 
1.87/1.88	* CEs [51,63] --> Loop 49 
1.87/1.88	* CEs [50] --> Loop 50 
1.87/1.88	* CEs [49] --> Loop 51 
1.87/1.88	* CEs [48,61] --> Loop 52 
1.87/1.88	* CEs [47] --> Loop 53 
1.87/1.88	* CEs [46] --> Loop 54 
1.87/1.88	* CEs [45] --> Loop 55 
1.87/1.88	* CEs [44] --> Loop 56 
1.87/1.88	* CEs [43] --> Loop 57 
1.87/1.88	* CEs [42,62] --> Loop 58 
1.87/1.88	* CEs [41] --> Loop 59 
1.87/1.88	
1.87/1.88	### Ranking functions of CR eval_abc_8(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B) 
1.87/1.88	
1.87/1.88	#### Partial ranking functions of CR eval_abc_8(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B) 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Specialization of cost equations eval_abc_start/10 
1.87/1.88	* 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] 
1.87/1.88	
1.87/1.88	
1.87/1.88	### Cost equations --> "Loop" of eval_abc_start/10 
1.87/1.88	* CEs [82] --> Loop 60 
1.87/1.88	* CEs [81] --> Loop 61 
1.87/1.88	* CEs [80] --> Loop 62 
1.87/1.88	* CEs [79] --> Loop 63 
1.87/1.88	* CEs [78] --> Loop 64 
1.87/1.88	* CEs [77] --> Loop 65 
1.87/1.88	* CEs [76] --> Loop 66 
1.87/1.88	* CEs [75] --> Loop 67 
1.87/1.88	* CEs [74] --> Loop 68 
1.87/1.88	* CEs [73] --> Loop 69 
1.87/1.88	* CEs [72] --> Loop 70 
1.87/1.88	* CEs [71] --> Loop 71 
1.87/1.88	* CEs [70] --> Loop 72 
1.87/1.88	* CEs [69] --> Loop 73 
1.87/1.88	* CEs [68] --> Loop 74 
1.87/1.88	* CEs [67] --> Loop 75 
1.87/1.88	* CEs [66] --> Loop 76 
1.87/1.88	* CEs [65] --> Loop 77 
1.87/1.88	* CEs [64] --> Loop 78 
1.87/1.88	
1.87/1.88	### Ranking functions of CR eval_abc_start(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B) 
1.87/1.88	
1.87/1.88	#### Partial ranking functions of CR eval_abc_start(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B) 
1.87/1.88	
1.87/1.88	
1.87/1.88	Computing Bounds
1.87/1.88	=====================================
1.87/1.88	
1.87/1.88	#### Cost of chains of eval_abc_bb4_in(V_i_0,V_j_0,V_k_0,B,C):
1.87/1.88	* Chain [[16],18]: 1*it(16)+0
1.87/1.88	  Such that:it(16) =< -V_k_0+C
1.87/1.88	
1.87/1.88	  with precondition: [B=2,V_i_0+V_j_0+1=C,V_j_0+V_k_0>=V_i_0,V_i_0+V_j_0>=V_k_0] 
1.87/1.88	
1.87/1.88	* Chain [[16],17]: 1*it(16)+0
1.87/1.88	  Such that:it(16) =< V_i_0+V_j_0-V_k_0+1
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_j_0+V_k_0>=V_i_0,V_i_0+V_j_0>=V_k_0] 
1.87/1.88	
1.87/1.88	* Chain [18]: 0
1.87/1.88	  with precondition: [B=2,V_k_0=C,V_k_0>=V_i_0+V_j_0+1,V_j_0+V_k_0>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [17]: 0
1.87/1.88	  with precondition: [B=3,V_j_0+V_k_0>=V_i_0] 
1.87/1.88	
1.87/1.88	
1.87/1.88	#### Cost of chains of eval_abc_bb2_in(V_6,V_d,V_i_0,V_j_0,V_k_0,B,C,D,E):
1.87/1.88	* Chain [[20],[19],24]: 1*it(19)+1*it(20)+1*s(3)+0
1.87/1.88	  Such that:it(19) =< V_d+1
1.87/1.88	it(20) =< V_d-V_j_0
1.87/1.88	aux(1) =< 2*V_d+2
1.87/1.88	aux(2) =< V_d-V_j_0+1
1.87/1.88	it(19) =< aux(2)
1.87/1.88	it(20) =< aux(2)
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_j_0+1,V_d>=0,V_d>=V_j_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[20],[19],23]: 1*it(19)+1*it(20)+1*s(3)+1*s(4)+0
1.87/1.88	  Such that:it(19) =< V_d
1.87/1.88	s(4) =< 2*V_d+1
1.87/1.88	aux(1) =< 2*V_d+2
1.87/1.88	it(20) =< -V_j_0+1/2
1.87/1.88	aux(3) =< V_d-V_j_0
1.87/1.88	it(19) =< aux(3)
1.87/1.88	it(20) =< aux(3)
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_j_0+1,V_d>=1,V_d>=V_j_0+2] 
1.87/1.88	
1.87/1.88	* Chain [[20],[19],22]: 1*it(19)+1*it(20)+1*s(3)+0
1.87/1.88	  Such that:it(19) =< V_d
1.87/1.88	aux(1) =< 2*V_d+2
1.87/1.88	aux(4) =< V_d-V_j_0
1.87/1.88	it(19) =< aux(4)
1.87/1.88	it(20) =< aux(4)
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_j_0+1,V_d>=1,V_d>=V_j_0+2] 
1.87/1.88	
1.87/1.88	* Chain [[20],[19],21]: 1*it(19)+1*it(20)+1*s(3)+0
1.87/1.88	  Such that:aux(1) =< -2*V_i_0+2*E
1.87/1.88	it(19) =< -V_i_0+E
1.87/1.88	it(20) =< -V_j_0+1/2
1.87/1.88	aux(5) =< -V_i_0-V_j_0+E
1.87/1.88	it(19) =< aux(5)
1.87/1.88	it(20) =< aux(5)
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=4,V_d+1=C,V_d+1=D,V_d+V_i_0+1=E,0>=2*V_j_0+1,V_d>=0,V_d>=V_j_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[20],24]: 1*it(20)+0
1.87/1.88	  Such that:it(20) =< V_d-V_j_0+1
1.87/1.88	it(20) =< -V_j_0+1/2
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_j_0+1,V_d>=V_j_0] 
1.87/1.88	
1.87/1.88	* Chain [[20],23]: 1*it(20)+1*s(4)+0
1.87/1.88	  Such that:s(4) =< 2
1.87/1.88	it(20) =< V_d-V_j_0
1.87/1.88	s(4) =< 2*V_d+1
1.87/1.88	it(20) =< -V_j_0+1/2
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_j_0+1,V_d>=0,V_d>=V_j_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[20],22]: 1*it(20)+0
1.87/1.88	  Such that:it(20) =< V_d-V_j_0
1.87/1.88	it(20) =< -V_j_0+1/2
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_j_0+1,V_d>=V_j_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[20],21]: 1*it(20)+0
1.87/1.88	  Such that:it(20) =< -V_j_0+C
1.87/1.88	
1.87/1.88	  with precondition: [B=4,V_d+1=C,V_d+1=D,V_d+E=V_i_0,0>=2*V_d+1,V_d>=V_j_0] 
1.87/1.88	
1.87/1.88	* Chain [[19],24]: 1*it(19)+1*s(3)+0
1.87/1.88	  Such that:it(19) =< V_d-V_j_0+1
1.87/1.88	aux(1) =< 2*V_d+2
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_j_0>=0,V_d>=V_j_0] 
1.87/1.88	
1.87/1.88	* Chain [[19],23]: 1*it(19)+1*s(3)+1*s(4)+0
1.87/1.88	  Such that:it(19) =< V_d-V_j_0
1.87/1.88	s(4) =< 2*V_d+1
1.87/1.88	aux(1) =< 2*V_d+2
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_j_0>=0,V_d>=V_j_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[19],22]: 1*it(19)+1*s(3)+0
1.87/1.88	  Such that:it(19) =< V_d-V_j_0
1.87/1.88	aux(1) =< 2*V_d+2
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_j_0>=0,V_d>=V_j_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[19],21]: 1*it(19)+1*s(3)+0
1.87/1.88	  Such that:aux(1) =< -2*V_i_0+2*E
1.87/1.88	it(19) =< -V_i_0-V_j_0+E
1.87/1.88	s(3) =< it(19)*aux(1)
1.87/1.88	
1.87/1.88	  with precondition: [B=4,V_d+1=C,V_d+1=D,V_d+V_i_0+1=E,V_j_0>=0,V_d>=V_j_0] 
1.87/1.88	
1.87/1.88	* Chain [24]: 0
1.87/1.88	  with precondition: [B=3] 
1.87/1.88	
1.87/1.88	* Chain [23]: 1*s(4)+0
1.87/1.88	  Such that:s(4) =< 2*V_j_0+1
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_j_0>=0,V_d>=V_j_0] 
1.87/1.88	
1.87/1.88	* Chain [22]: 0
1.87/1.88	  with precondition: [B=3,V_d>=V_j_0] 
1.87/1.88	
1.87/1.88	* Chain [21]: 0
1.87/1.88	  with precondition: [B=4,C=V_6,E=V_k_0,V_j_0=D,V_j_0>=V_d+1] 
1.87/1.88	
1.87/1.88	
1.87/1.88	#### Cost of chains of eval_abc_bb1_in(V_6,V_7,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B,C,D,E,F,G):
1.87/1.88	* Chain [[28],38]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+0
1.87/1.88	  Such that:it(28) =< V_b-V_i_0+1
1.87/1.88	aux(12) =< -V_c+1/2
1.87/1.88	aux(13) =< -V_c+V_d+1
1.87/1.88	s(42) =< 2*V_d+2
1.87/1.88	aux(14) =< s(42)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(12)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*s(42)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[28],37]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+1*s(48)+1*s(49)+1*s(52)+1*s(54)+1*s(55)+0
1.87/1.88	  Such that:s(48) =< 2
1.87/1.88	it(28) =< V_b-V_i_0
1.87/1.88	s(53) =< -V_c+V_d
1.87/1.88	s(49) =< V_d+1
1.87/1.88	s(48) =< 2*V_d+1
1.87/1.88	aux(15) =< -V_c+1/2
1.87/1.88	aux(16) =< -V_c+V_d+1
1.87/1.88	aux(17) =< 2*V_d+2
1.87/1.88	s(52) =< aux(15)
1.87/1.88	s(52) =< s(53)
1.87/1.88	s(54) =< s(53)
1.87/1.88	s(49) =< aux(16)
1.87/1.88	s(54) =< aux(16)
1.87/1.88	s(55) =< s(49)*aux(17)
1.87/1.88	aux(14) =< aux(17)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(16)
1.87/1.88	s(45) =< it(28)*aux(15)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*aux(17)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[28],36]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+1*s(56)+1*s(57)+2*s(61)+1*s(62)+2*s(63)+0
1.87/1.88	  Such that:it(28) =< V_b-V_i_0
1.87/1.88	s(59) =< -V_c+V_d
1.87/1.88	aux(13) =< -V_c+V_d+1
1.87/1.88	s(58) =< V_d
1.87/1.88	s(56) =< 2*V_d+1
1.87/1.88	aux(18) =< -V_c+1/2
1.87/1.88	aux(19) =< 2*V_d+2
1.87/1.88	s(57) =< aux(18)
1.87/1.88	s(61) =< s(58)
1.87/1.88	s(61) =< s(59)
1.87/1.88	s(62) =< s(59)
1.87/1.88	s(63) =< s(61)*aux(19)
1.87/1.88	s(57) =< s(59)
1.87/1.88	aux(14) =< aux(19)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(18)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*aux(19)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=1,V_d>=V_c+2,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[28],35]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+1*s(64)+0
1.87/1.88	  Such that:it(28) =< V_b-V_i_0
1.87/1.88	aux(13) =< -V_c+V_d+1
1.87/1.88	s(42) =< 2*V_d+2
1.87/1.88	aux(20) =< -V_c+1/2
1.87/1.88	s(64) =< aux(20)
1.87/1.88	aux(14) =< s(42)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(20)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*s(42)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[28],34]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+1*s(65)+0
1.87/1.88	  Such that:it(28) =< V_b-V_i_0
1.87/1.88	s(65) =< -V_c+V_d
1.87/1.88	aux(13) =< -V_c+V_d+1
1.87/1.88	s(42) =< 2*V_d+2
1.87/1.88	aux(21) =< -V_c+1/2
1.87/1.88	s(65) =< aux(21)
1.87/1.88	aux(14) =< s(42)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(21)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*s(42)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[28],31]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+0
1.87/1.88	  Such that:it(28) =< V_b-V_i_0
1.87/1.88	aux(12) =< -V_c+1/2
1.87/1.88	aux(13) =< -V_c+V_d+1
1.87/1.88	s(42) =< 2*V_d+2
1.87/1.88	aux(14) =< s(42)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(12)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*s(42)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[28],30]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+0
1.87/1.88	  Such that:it(28) =< V_b-V_i_0
1.87/1.88	aux(12) =< -V_c+1/2
1.87/1.88	aux(13) =< -V_c+V_d+1
1.87/1.88	s(42) =< 2*V_d+2
1.87/1.88	aux(14) =< s(42)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(12)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*s(42)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[28],29]: 1*it(28)+1*s(44)+1*s(45)+1*s(46)+0
1.87/1.88	  Such that:s(42) =< -2*V_b+2*G
1.87/1.88	aux(13) =< -V_b-V_c+G
1.87/1.88	it(28) =< V_b-V_i_0+1
1.87/1.88	aux(12) =< -V_c+1/2
1.87/1.88	aux(14) =< s(42)*(1/2)
1.87/1.88	s(47) =< it(28)*aux(13)
1.87/1.88	s(45) =< it(28)*aux(12)
1.87/1.88	s(44) =< it(28)*aux(14)
1.87/1.88	s(44) =< s(47)
1.87/1.88	s(45) =< s(47)
1.87/1.88	s(46) =< s(44)*s(42)
1.87/1.88	
1.87/1.88	  with precondition: [B=5,V_d+1=C,V_b+1=D,V_b+1=E,V_d+1=F,V_b+V_d+1=G,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[27],38]: 1*it(27)+1*s(68)+0
1.87/1.88	  Such that:it(27) =< V_b-V_i_0+1
1.87/1.88	aux(22) =< -V_c+V_d+1
1.87/1.88	s(68) =< it(27)*aux(22)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_d+1,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[27],35]: 1*it(27)+1*s(64)+1*s(68)+0
1.87/1.88	  Such that:it(27) =< V_b-V_i_0
1.87/1.88	aux(23) =< -V_c+V_d+1
1.87/1.88	s(64) =< aux(23)
1.87/1.88	s(68) =< it(27)*aux(23)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_d+1,V_d>=V_c,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[27],34]: 1*it(27)+1*s(65)+1*s(68)+0
1.87/1.88	  Such that:it(27) =< V_b-V_i_0
1.87/1.88	s(65) =< -V_c+V_d
1.87/1.88	aux(22) =< -V_c+V_d+1
1.87/1.88	s(68) =< it(27)*aux(22)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_d+1,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[27],31]: 1*it(27)+1*s(68)+0
1.87/1.88	  Such that:it(27) =< V_b-V_i_0
1.87/1.88	aux(22) =< -V_c+V_d+1
1.87/1.88	s(68) =< it(27)*aux(22)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_d+1,V_d>=V_c,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[27],30]: 1*it(27)+1*s(68)+0
1.87/1.88	  Such that:it(27) =< V_b-V_i_0
1.87/1.88	aux(22) =< -V_c+V_d+1
1.87/1.88	s(68) =< it(27)*aux(22)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_d+1,V_d>=V_c,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[27],29]: 1*it(27)+1*s(68)+0
1.87/1.88	  Such that:aux(22) =< V_b-V_c-G+1
1.87/1.88	it(27) =< V_b-V_i_0+1
1.87/1.88	s(68) =< it(27)*aux(22)
1.87/1.88	
1.87/1.88	  with precondition: [B=5,V_d+1=C,V_b+1=D,V_b+1=E,V_d+1=F,V_d+G=V_b,0>=2*V_d+1,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[26],38]: 1*it(26)+1*s(75)+1*s(76)+0
1.87/1.88	  Such that:it(26) =< V_b-V_i_0+1
1.87/1.88	aux(24) =< -V_c+V_d+1
1.87/1.88	s(73) =< 2*V_d+2
1.87/1.88	aux(24) =< s(73)*(1/2)
1.87/1.88	s(75) =< it(26)*aux(24)
1.87/1.88	s(76) =< s(75)*s(73)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[26],33]: 1*it(26)+1*s(75)+1*s(76)+1*s(77)+1*s(79)+1*s(80)+0
1.87/1.88	  Such that:it(26) =< V_b-V_i_0
1.87/1.88	s(79) =< 2*V_c+1
1.87/1.88	aux(25) =< -V_c+V_d+1
1.87/1.88	aux(26) =< 2*V_d+2
1.87/1.88	aux(24) =< aux(25)
1.87/1.88	s(77) =< aux(25)
1.87/1.88	s(80) =< s(77)*aux(26)
1.87/1.88	aux(24) =< aux(26)*(1/2)
1.87/1.88	s(75) =< it(26)*aux(24)
1.87/1.88	s(76) =< s(75)*aux(26)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[26],32]: 1*it(26)+1*s(75)+1*s(76)+1*s(81)+2*s(84)+2*s(85)+0
1.87/1.88	  Such that:it(26) =< V_b-V_i_0
1.87/1.88	s(82) =< -V_c+V_d
1.87/1.88	aux(24) =< -V_c+V_d+1
1.87/1.88	s(81) =< 2*V_d+1
1.87/1.88	aux(27) =< 2*V_d+2
1.87/1.88	s(84) =< s(82)
1.87/1.88	s(85) =< s(84)*aux(27)
1.87/1.88	aux(24) =< aux(27)*(1/2)
1.87/1.88	s(75) =< it(26)*aux(24)
1.87/1.88	s(76) =< s(75)*aux(27)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[26],31]: 1*it(26)+1*s(75)+1*s(76)+0
1.87/1.88	  Such that:it(26) =< V_b-V_i_0
1.87/1.88	aux(24) =< -V_c+V_d+1
1.87/1.88	s(73) =< 2*V_d+2
1.87/1.88	aux(24) =< s(73)*(1/2)
1.87/1.88	s(75) =< it(26)*aux(24)
1.87/1.88	s(76) =< s(75)*s(73)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[26],30]: 1*it(26)+1*s(75)+1*s(76)+0
1.87/1.88	  Such that:it(26) =< V_b-V_i_0
1.87/1.88	aux(24) =< -V_c+V_d+1
1.87/1.88	s(73) =< 2*V_d+2
1.87/1.88	aux(24) =< s(73)*(1/2)
1.87/1.88	s(75) =< it(26)*aux(24)
1.87/1.88	s(76) =< s(75)*s(73)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[26],29]: 1*it(26)+1*s(75)+1*s(76)+0
1.87/1.88	  Such that:s(73) =< -2*V_b+2*G
1.87/1.88	aux(24) =< -V_b-V_c+G
1.87/1.88	it(26) =< V_b-V_i_0+1
1.87/1.88	aux(24) =< s(73)*(1/2)
1.87/1.88	s(75) =< it(26)*aux(24)
1.87/1.88	s(76) =< s(75)*s(73)
1.87/1.88	
1.87/1.88	  with precondition: [B=5,V_d+1=C,V_b+1=D,V_b+1=E,V_d+1=F,V_b+V_d+1=G,V_c>=0,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[25],38]: 1*it(25)+0
1.87/1.88	  Such that:it(25) =< V_b-V_i_0+1
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=V_d+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [[25],30]: 1*it(25)+0
1.87/1.88	  Such that:it(25) =< V_b-V_i_0
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=V_d+1,V_b>=V_i_0+1] 
1.87/1.88	
1.87/1.88	* Chain [[25],29]: 1*it(25)+0
1.87/1.88	  Such that:it(25) =< V_b-V_i_0+1
1.87/1.88	
1.87/1.88	  with precondition: [B=5,V_6=C,V_b+1=D,V_b+1=E,V_c=F,V_k_0=G,V_c>=V_d+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [38]: 0
1.87/1.88	  with precondition: [B=3] 
1.87/1.88	
1.87/1.88	* Chain [37]: 1*s(48)+1*s(49)+1*s(52)+1*s(54)+1*s(55)+0
1.87/1.88	  Such that:s(48) =< 2
1.87/1.88	s(52) =< -V_c+1/2
1.87/1.88	s(53) =< -V_c+V_d
1.87/1.88	s(50) =< -V_c+V_d+1
1.87/1.88	s(49) =< V_d+1
1.87/1.88	s(48) =< 2*V_d+1
1.87/1.88	s(51) =< 2*V_d+2
1.87/1.88	s(52) =< s(53)
1.87/1.88	s(54) =< s(53)
1.87/1.88	s(49) =< s(50)
1.87/1.88	s(54) =< s(50)
1.87/1.88	s(55) =< s(49)*s(51)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=0,V_d>=V_c+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [36]: 1*s(56)+1*s(57)+2*s(61)+1*s(62)+2*s(63)+0
1.87/1.88	  Such that:s(57) =< -V_c+1/2
1.87/1.88	s(59) =< -V_c+V_d
1.87/1.88	s(58) =< V_d
1.87/1.88	s(56) =< 2*V_d+1
1.87/1.88	s(60) =< 2*V_d+2
1.87/1.88	s(61) =< s(58)
1.87/1.88	s(61) =< s(59)
1.87/1.88	s(62) =< s(59)
1.87/1.88	s(63) =< s(61)*s(60)
1.87/1.88	s(57) =< s(59)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=1,V_d>=V_c+2,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [35]: 1*s(64)+0
1.87/1.88	  Such that:s(64) =< -V_c+1/2
1.87/1.88	s(64) =< -V_c+V_d+1
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [34]: 1*s(65)+0
1.87/1.88	  Such that:s(65) =< -V_c+1/2
1.87/1.88	s(65) =< -V_c+V_d
1.87/1.88	
1.87/1.88	  with precondition: [B=3,0>=2*V_c+1,V_d>=V_c+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [33]: 1*s(77)+1*s(79)+1*s(80)+0
1.87/1.88	  Such that:s(77) =< -V_c+V_d+1
1.87/1.88	s(79) =< 2*V_c+1
1.87/1.88	s(78) =< 2*V_d+2
1.87/1.88	s(80) =< s(77)*s(78)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [32]: 1*s(81)+2*s(84)+2*s(85)+0
1.87/1.88	  Such that:s(82) =< -V_c+V_d
1.87/1.88	s(81) =< 2*V_d+1
1.87/1.88	s(83) =< 2*V_d+2
1.87/1.88	s(84) =< s(82)
1.87/1.88	s(85) =< s(84)*s(83)
1.87/1.88	
1.87/1.88	  with precondition: [B=3,V_c>=0,V_d>=V_c+1,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [31]: 0
1.87/1.88	  with precondition: [B=3,V_d>=V_c,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [30]: 0
1.87/1.88	  with precondition: [B=3,V_b>=V_i_0] 
1.87/1.88	
1.87/1.88	* Chain [29]: 0
1.87/1.88	  with precondition: [B=5,C=V_6,D=V_7,F=V_j_0,G=V_k_0,V_i_0=E,V_i_0>=V_b+1] 
1.87/1.88	
1.87/1.88	
1.87/1.88	#### Cost of chains of eval_abc_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K):
1.87/1.88	* Chain [40]: 0
1.87/1.88	  with precondition: [A=3] 
1.87/1.88	
1.87/1.88	* Chain [39]: 0
1.87/1.88	  with precondition: [A=5] 
1.87/1.88	
1.87/1.88	
1.87/1.88	#### Cost of chains of eval_abc_8(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B):
1.87/1.88	* Chain [59]: 0
1.87/1.88	  with precondition: [] 
1.87/1.88	
1.87/1.88	* 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
1.87/1.88	  Such that:s(194) =< 2
1.87/1.88	s(196) =< -V_c+V_d
1.87/1.88	s(197) =< V_d+1
1.87/1.88	s(194) =< 2*V_d+1
1.87/1.88	aux(43) =< -V_a+V_b+1
1.87/1.88	aux(44) =< -V_c+1/2
1.87/1.88	aux(45) =< -V_c+V_d+1
1.87/1.88	aux(46) =< 2*V_d+2
1.87/1.88	s(195) =< aux(43)
1.87/1.88	s(201) =< aux(44)
1.87/1.88	s(201) =< s(196)
1.87/1.88	s(202) =< s(196)
1.87/1.88	s(197) =< aux(45)
1.87/1.88	s(202) =< aux(45)
1.87/1.88	s(203) =< s(197)*aux(46)
1.87/1.88	s(204) =< aux(46)*(1/2)
1.87/1.88	s(205) =< s(195)*aux(45)
1.87/1.88	s(206) =< s(195)*aux(44)
1.87/1.88	s(207) =< s(195)*s(204)
1.87/1.88	s(207) =< s(205)
1.87/1.88	s(206) =< s(205)
1.87/1.88	s(208) =< s(207)*aux(46)
1.87/1.88	
1.87/1.88	  with precondition: [0>=2*V_c+1,V_d>=0,V_b>=V_a,V_d>=V_c+1] 
1.87/1.88	
1.87/1.88	* 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
1.87/1.88	  Such that:s(218) =< 2
1.87/1.88	s(220) =< -V_a+V_b
1.87/1.88	s(221) =< -V_c+1/2
1.87/1.88	s(222) =< -V_c+V_d
1.87/1.88	s(223) =< -V_c+V_d+1
1.87/1.88	s(219) =< V_d+1
1.87/1.88	s(218) =< 2*V_d+1
1.87/1.88	s(224) =< 2*V_d+2
1.87/1.88	s(225) =< s(220)
1.87/1.88	s(226) =< s(222)
1.87/1.88	s(226) =< s(221)
1.87/1.88	s(227) =< s(222)
1.87/1.88	s(219) =< s(223)
1.87/1.88	s(227) =< s(223)
1.87/1.88	s(228) =< s(219)*s(224)
1.87/1.88	s(229) =< s(224)*(1/2)
1.87/1.88	s(230) =< s(225)*s(223)
1.87/1.88	s(231) =< s(225)*s(221)
1.87/1.88	s(232) =< s(225)*s(229)
1.87/1.88	s(232) =< s(230)
1.87/1.88	s(231) =< s(230)
1.87/1.88	s(233) =< s(232)*s(224)
1.87/1.88	s(234) =< s(221)
1.87/1.88	
1.87/1.88	  with precondition: [0>=2*V_c+1,V_d>=0,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.88	
1.87/1.88	* Chain [56]: 1*s(235)+1*s(238)+2*s(240)+1*s(241)+2*s(242)+0
1.87/1.88	  Such that:s(235) =< -V_c+1/2
1.87/1.88	s(236) =< -V_c+V_d
1.87/1.88	s(237) =< V_d
1.87/1.88	s(238) =< 2*V_d+1
1.87/1.88	s(239) =< 2*V_d+2
1.87/1.88	s(240) =< s(237)
1.87/1.88	s(240) =< s(236)
1.87/1.88	s(241) =< s(236)
1.87/1.88	s(242) =< s(240)*s(239)
1.87/1.88	s(235) =< s(236)
1.87/1.88	
1.87/1.88	  with precondition: [0>=2*V_c+1,V_d>=1,V_b>=V_a,V_d>=V_c+2] 
1.87/1.88	
1.87/1.88	* 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
1.87/1.88	  Such that:s(243) =< -V_a+V_b
1.87/1.88	s(248) =< -V_c+1/2
1.87/1.88	s(244) =< -V_c+V_d
1.87/1.88	s(245) =< -V_c+V_d+1
1.87/1.88	s(246) =< V_d
1.87/1.88	s(247) =< 2*V_d+1
1.87/1.88	s(249) =< 2*V_d+2
1.87/1.88	s(250) =< s(248)
1.87/1.88	s(251) =< s(246)
1.87/1.88	s(251) =< s(244)
1.87/1.88	s(252) =< s(244)
1.87/1.88	s(253) =< s(251)*s(249)
1.87/1.88	s(250) =< s(244)
1.87/1.88	s(254) =< s(249)*(1/2)
1.87/1.88	s(255) =< s(243)*s(245)
1.87/1.88	s(256) =< s(243)*s(248)
1.87/1.88	s(257) =< s(243)*s(254)
1.87/1.88	s(257) =< s(255)
1.87/1.88	s(256) =< s(255)
1.87/1.88	s(258) =< s(257)*s(249)
1.87/1.88	
1.87/1.88	  with precondition: [0>=2*V_c+1,V_d>=1,V_b>=V_a+1,V_d>=V_c+2] 
1.87/1.88	
1.87/1.89	* Chain [54]: 1*s(259)+0
1.87/1.89	  Such that:s(259) =< -V_c+1/2
1.87/1.89	s(259) =< -V_c+V_d+1
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [53]: 1*s(260)+0
1.87/1.89	  Such that:s(260) =< -V_c+1/2
1.87/1.89	s(260) =< -V_c+V_d
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [52]: 2*s(261)+2*s(263)+0
1.87/1.89	  Such that:aux(47) =< -V_a+V_b+1
1.87/1.89	aux(48) =< -V_c+V_d+1
1.87/1.89	s(261) =< aux(47)
1.87/1.89	s(263) =< s(261)*aux(48)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_d+1,V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [51]: 3*s(269)+3*s(270)+1*s(271)+0
1.87/1.89	  Such that:s(267) =< -V_a+V_b
1.87/1.89	s(268) =< -V_c+V_d+1
1.87/1.89	s(269) =< s(267)
1.87/1.89	s(270) =< s(269)*s(268)
1.87/1.89	s(271) =< s(268)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_d+1,V_b>=V_a+1,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [50]: 1*s(272)+1*s(273)+1*s(275)+0
1.87/1.89	  Such that:s(272) =< -V_a+V_b
1.87/1.89	s(273) =< -V_c+V_d
1.87/1.89	s(274) =< -V_c+V_d+1
1.87/1.89	s(275) =< s(272)*s(274)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_d+1,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [49]: 2*s(276)+1*s(277)+1*s(280)+2*s(282)+2*s(283)+1*s(284)+0
1.87/1.89	  Such that:s(277) =< 2*V_c+1
1.87/1.89	aux(49) =< -V_a+V_b+1
1.87/1.89	aux(50) =< -V_c+V_d+1
1.87/1.89	aux(51) =< 2*V_d+2
1.87/1.89	s(276) =< aux(49)
1.87/1.89	s(281) =< aux(50)
1.87/1.89	s(280) =< aux(50)
1.87/1.89	s(281) =< aux(51)*(1/2)
1.87/1.89	s(282) =< s(276)*s(281)
1.87/1.89	s(283) =< s(282)*aux(51)
1.87/1.89	s(284) =< s(280)*aux(51)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [48]: 1*s(291)+2*s(293)+2*s(294)+0
1.87/1.89	  Such that:s(290) =< -V_c+V_d
1.87/1.89	s(291) =< 2*V_d+1
1.87/1.89	s(292) =< 2*V_d+2
1.87/1.89	s(293) =< s(290)
1.87/1.89	s(294) =< s(293)*s(292)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [47]: 1*s(295)+3*s(299)+3*s(301)+3*s(302)+1*s(303)+1*s(304)+0
1.87/1.89	  Such that:s(296) =< -V_a+V_b
1.87/1.89	s(297) =< -V_c+V_d+1
1.87/1.89	s(295) =< 2*V_c+1
1.87/1.89	s(298) =< 2*V_d+2
1.87/1.89	s(299) =< s(296)
1.87/1.89	s(300) =< s(297)
1.87/1.89	s(300) =< s(298)*(1/2)
1.87/1.89	s(301) =< s(299)*s(300)
1.87/1.89	s(302) =< s(301)*s(298)
1.87/1.89	s(303) =< s(297)
1.87/1.89	s(304) =< s(303)*s(298)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a+1,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [46]: 1*s(305)+1*s(308)+2*s(310)+2*s(311)+1*s(312)+1*s(313)+0
1.87/1.89	  Such that:s(305) =< -V_a+V_b
1.87/1.89	s(306) =< -V_c+V_d
1.87/1.89	s(307) =< -V_c+V_d+1
1.87/1.89	s(308) =< 2*V_d+1
1.87/1.89	s(309) =< 2*V_d+2
1.87/1.89	s(310) =< s(306)
1.87/1.89	s(311) =< s(310)*s(309)
1.87/1.89	s(307) =< s(309)*(1/2)
1.87/1.89	s(312) =< s(305)*s(307)
1.87/1.89	s(313) =< s(312)*s(309)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [45]: 0
1.87/1.89	  with precondition: [V_b>=V_a] 
1.87/1.89	
1.87/1.89	* Chain [44]: 0
1.87/1.89	  with precondition: [V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [43]: 2*s(314)+0
1.87/1.89	  Such that:aux(52) =< -V_a+V_b+1
1.87/1.89	s(314) =< aux(52)
1.87/1.89	
1.87/1.89	  with precondition: [V_b>=V_a,V_c>=V_d+1] 
1.87/1.89	
1.87/1.89	* Chain [42]: 1*s(316)+0
1.87/1.89	  Such that:s(316) =< -V_a+V_b
1.87/1.89	
1.87/1.89	  with precondition: [V_b>=V_a+1,V_c>=V_d+1] 
1.87/1.89	
1.87/1.89	* Chain [41]: 0
1.87/1.89	  with precondition: [V_a>=V_b+1] 
1.87/1.89	
1.87/1.89	
1.87/1.89	#### Cost of chains of eval_abc_start(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B):
1.87/1.89	* Chain [78]: 0
1.87/1.89	  with precondition: [] 
1.87/1.89	
1.87/1.89	* 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
1.87/1.89	  Such that:s(317) =< 2
1.87/1.89	s(320) =< -V_a+V_b+1
1.87/1.89	s(321) =< -V_c+1/2
1.87/1.89	s(318) =< -V_c+V_d
1.87/1.89	s(322) =< -V_c+V_d+1
1.87/1.89	s(319) =< V_d+1
1.87/1.89	s(317) =< 2*V_d+1
1.87/1.89	s(323) =< 2*V_d+2
1.87/1.89	s(324) =< s(320)
1.87/1.89	s(325) =< s(321)
1.87/1.89	s(325) =< s(318)
1.87/1.89	s(326) =< s(318)
1.87/1.89	s(319) =< s(322)
1.87/1.89	s(326) =< s(322)
1.87/1.89	s(327) =< s(319)*s(323)
1.87/1.89	s(328) =< s(323)*(1/2)
1.87/1.89	s(329) =< s(324)*s(322)
1.87/1.89	s(330) =< s(324)*s(321)
1.87/1.89	s(331) =< s(324)*s(328)
1.87/1.89	s(331) =< s(329)
1.87/1.89	s(330) =< s(329)
1.87/1.89	s(332) =< s(331)*s(323)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_d>=0,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* 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
1.87/1.89	  Such that:s(333) =< 2
1.87/1.89	s(334) =< -V_a+V_b
1.87/1.89	s(335) =< -V_c+1/2
1.87/1.89	s(336) =< -V_c+V_d
1.87/1.89	s(337) =< -V_c+V_d+1
1.87/1.89	s(338) =< V_d+1
1.87/1.89	s(333) =< 2*V_d+1
1.87/1.89	s(339) =< 2*V_d+2
1.87/1.89	s(340) =< s(334)
1.87/1.89	s(341) =< s(336)
1.87/1.89	s(341) =< s(335)
1.87/1.89	s(342) =< s(336)
1.87/1.89	s(338) =< s(337)
1.87/1.89	s(342) =< s(337)
1.87/1.89	s(343) =< s(338)*s(339)
1.87/1.89	s(344) =< s(339)*(1/2)
1.87/1.89	s(345) =< s(340)*s(337)
1.87/1.89	s(346) =< s(340)*s(335)
1.87/1.89	s(347) =< s(340)*s(344)
1.87/1.89	s(347) =< s(345)
1.87/1.89	s(346) =< s(345)
1.87/1.89	s(348) =< s(347)*s(339)
1.87/1.89	s(349) =< s(335)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_d>=0,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [75]: 1*s(350)+1*s(353)+2*s(355)+1*s(356)+2*s(357)+0
1.87/1.89	  Such that:s(350) =< -V_c+1/2
1.87/1.89	s(351) =< -V_c+V_d
1.87/1.89	s(352) =< V_d
1.87/1.89	s(353) =< 2*V_d+1
1.87/1.89	s(354) =< 2*V_d+2
1.87/1.89	s(355) =< s(352)
1.87/1.89	s(355) =< s(351)
1.87/1.89	s(356) =< s(351)
1.87/1.89	s(357) =< s(355)*s(354)
1.87/1.89	s(350) =< s(351)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_d>=1,V_b>=V_a,V_d>=V_c+2] 
1.87/1.89	
1.87/1.89	* 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
1.87/1.89	  Such that:s(358) =< -V_a+V_b
1.87/1.89	s(359) =< -V_c+1/2
1.87/1.89	s(360) =< -V_c+V_d
1.87/1.89	s(361) =< -V_c+V_d+1
1.87/1.89	s(362) =< V_d
1.87/1.89	s(363) =< 2*V_d+1
1.87/1.89	s(364) =< 2*V_d+2
1.87/1.89	s(365) =< s(359)
1.87/1.89	s(366) =< s(362)
1.87/1.89	s(366) =< s(360)
1.87/1.89	s(367) =< s(360)
1.87/1.89	s(368) =< s(366)*s(364)
1.87/1.89	s(365) =< s(360)
1.87/1.89	s(369) =< s(364)*(1/2)
1.87/1.89	s(370) =< s(358)*s(361)
1.87/1.89	s(371) =< s(358)*s(359)
1.87/1.89	s(372) =< s(358)*s(369)
1.87/1.89	s(372) =< s(370)
1.87/1.89	s(371) =< s(370)
1.87/1.89	s(373) =< s(372)*s(364)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_d>=1,V_b>=V_a+1,V_d>=V_c+2] 
1.87/1.89	
1.87/1.89	* Chain [73]: 1*s(374)+0
1.87/1.89	  Such that:s(374) =< -V_c+1/2
1.87/1.89	s(374) =< -V_c+V_d+1
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [72]: 1*s(375)+0
1.87/1.89	  Such that:s(375) =< -V_c+1/2
1.87/1.89	s(375) =< -V_c+V_d
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_c+1,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [71]: 2*s(378)+2*s(379)+0
1.87/1.89	  Such that:s(376) =< -V_a+V_b+1
1.87/1.89	s(377) =< -V_c+V_d+1
1.87/1.89	s(378) =< s(376)
1.87/1.89	s(379) =< s(378)*s(377)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_d+1,V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [70]: 3*s(382)+3*s(383)+1*s(384)+0
1.87/1.89	  Such that:s(380) =< -V_a+V_b
1.87/1.89	s(381) =< -V_c+V_d+1
1.87/1.89	s(382) =< s(380)
1.87/1.89	s(383) =< s(382)*s(381)
1.87/1.89	s(384) =< s(381)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_d+1,V_b>=V_a+1,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [69]: 1*s(385)+1*s(386)+1*s(388)+0
1.87/1.89	  Such that:s(385) =< -V_a+V_b
1.87/1.89	s(386) =< -V_c+V_d
1.87/1.89	s(387) =< -V_c+V_d+1
1.87/1.89	s(388) =< s(385)*s(387)
1.87/1.89	
1.87/1.89	  with precondition: [0>=2*V_d+1,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [68]: 1*s(389)+2*s(393)+1*s(395)+2*s(396)+2*s(397)+1*s(398)+0
1.87/1.89	  Such that:s(390) =< -V_a+V_b+1
1.87/1.89	s(391) =< -V_c+V_d+1
1.87/1.89	s(389) =< 2*V_c+1
1.87/1.89	s(392) =< 2*V_d+2
1.87/1.89	s(393) =< s(390)
1.87/1.89	s(394) =< s(391)
1.87/1.89	s(395) =< s(391)
1.87/1.89	s(394) =< s(392)*(1/2)
1.87/1.89	s(396) =< s(393)*s(394)
1.87/1.89	s(397) =< s(396)*s(392)
1.87/1.89	s(398) =< s(395)*s(392)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [67]: 1*s(400)+2*s(402)+2*s(403)+0
1.87/1.89	  Such that:s(399) =< -V_c+V_d
1.87/1.89	s(400) =< 2*V_d+1
1.87/1.89	s(401) =< 2*V_d+2
1.87/1.89	s(402) =< s(399)
1.87/1.89	s(403) =< s(402)*s(401)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [66]: 1*s(406)+3*s(408)+3*s(410)+3*s(411)+1*s(412)+1*s(413)+0
1.87/1.89	  Such that:s(404) =< -V_a+V_b
1.87/1.89	s(405) =< -V_c+V_d+1
1.87/1.89	s(406) =< 2*V_c+1
1.87/1.89	s(407) =< 2*V_d+2
1.87/1.89	s(408) =< s(404)
1.87/1.89	s(409) =< s(405)
1.87/1.89	s(409) =< s(407)*(1/2)
1.87/1.89	s(410) =< s(408)*s(409)
1.87/1.89	s(411) =< s(410)*s(407)
1.87/1.89	s(412) =< s(405)
1.87/1.89	s(413) =< s(412)*s(407)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a+1,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [65]: 1*s(414)+1*s(417)+2*s(419)+2*s(420)+1*s(421)+1*s(422)+0
1.87/1.89	  Such that:s(414) =< -V_a+V_b
1.87/1.89	s(415) =< -V_c+V_d
1.87/1.89	s(416) =< -V_c+V_d+1
1.87/1.89	s(417) =< 2*V_d+1
1.87/1.89	s(418) =< 2*V_d+2
1.87/1.89	s(419) =< s(415)
1.87/1.89	s(420) =< s(419)*s(418)
1.87/1.89	s(416) =< s(418)*(1/2)
1.87/1.89	s(421) =< s(414)*s(416)
1.87/1.89	s(422) =< s(421)*s(418)
1.87/1.89	
1.87/1.89	  with precondition: [V_c>=0,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	
1.87/1.89	* Chain [64]: 0
1.87/1.89	  with precondition: [V_b>=V_a] 
1.87/1.89	
1.87/1.89	* Chain [63]: 0
1.87/1.89	  with precondition: [V_b>=V_a,V_d>=V_c] 
1.87/1.89	
1.87/1.89	* Chain [62]: 2*s(424)+0
1.87/1.89	  Such that:s(423) =< -V_a+V_b+1
1.87/1.89	s(424) =< s(423)
1.87/1.89	
1.87/1.89	  with precondition: [V_b>=V_a,V_c>=V_d+1] 
1.87/1.89	
1.87/1.89	* Chain [61]: 1*s(425)+0
1.87/1.89	  Such that:s(425) =< -V_a+V_b
1.87/1.89	
1.87/1.89	  with precondition: [V_b>=V_a+1,V_c>=V_d+1] 
1.87/1.89	
1.87/1.89	* Chain [60]: 0
1.87/1.89	  with precondition: [V_a>=V_b+1] 
1.87/1.89	
1.87/1.89	
1.87/1.89	Closed-form bounds of eval_abc_start(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B): 
1.87/1.89	-------------------------------------
1.87/1.89	* Chain [78] with precondition: [] 
1.87/1.89	    - Upper bound: 0 
1.87/1.89	    - Complexity: constant 
1.87/1.89	* Chain [77] with precondition: [0>=2*V_c+1,V_d>=0,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	    - Upper bound: V_d+3+(2*V_d+2)*(V_d+1)+(-V_c+V_d)+(-V_c+1/2)+(-V_a+V_b+1)*(-2*V_c+1)+(-V_a+V_b+1)*((2*V_d+2)*(2*V_d+2))+(-V_a+V_b+1)*(2*V_d+2)+(-2*V_a+2*V_b+2) 
1.87/1.89	    - Complexity: n^3 
1.87/1.89	* Chain [76] with precondition: [0>=2*V_c+1,V_d>=0,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	    - Upper bound: V_d+3+(2*V_d+2)*(V_d+1)+(-5*V_a+5*V_b)+(-5*V_a+5*V_b)*(-V_c+1/2)+(-5/2*V_a+5/2*V_b)*(2*V_d+2)+(2*V_d+2)*((-5/2*V_a+5/2*V_b)*(2*V_d+2))+(-3*V_c+3*V_d)+(-V_c+1/2) 
1.87/1.89	    - Complexity: n^3 
1.87/1.89	* Chain [75] with precondition: [0>=2*V_c+1,V_d>=1,V_b>=V_a,V_d>=V_c+2] 
1.87/1.89	    - Upper bound: (2*V_d+2)*(2*V_d)+2*V_d+(-V_c+V_d)+(-V_c+1/2)+(2*V_d+1) 
1.87/1.89	    - Complexity: n^2 
1.87/1.89	* Chain [74] with precondition: [0>=2*V_c+1,V_d>=1,V_b>=V_a+1,V_d>=V_c+2] 
1.87/1.89	    - Upper bound: (2*V_d+2)*(2*V_d)+2*V_d+(-V_a+V_b)+(-V_c+1/2)*(-V_a+V_b)+(-V_a/2+V_b/2)*(2*V_d+2)+(2*V_d+2)*((-V_a/2+V_b/2)*(2*V_d+2))+(-V_c+V_d)+(-V_c+1/2)+(2*V_d+1) 
1.87/1.89	    - Complexity: n^3 
1.87/1.89	* Chain [73] with precondition: [0>=2*V_c+1,V_b>=V_a,V_d>=V_c] 
1.87/1.89	    - Upper bound: -V_c+1/2 
1.87/1.89	    - Complexity: n 
1.87/1.89	* Chain [72] with precondition: [0>=2*V_c+1,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	    - Upper bound: -V_c+1/2 
1.87/1.89	    - Complexity: n 
1.87/1.89	* Chain [71] with precondition: [0>=2*V_d+1,V_b>=V_a,V_d>=V_c] 
1.87/1.89	    - Upper bound: -2*V_a+2*V_b+2+(-2*V_a+2*V_b+2)*(-V_c+V_d+1) 
1.87/1.89	    - Complexity: n^2 
1.87/1.89	* Chain [70] with precondition: [0>=2*V_d+1,V_b>=V_a+1,V_d>=V_c] 
1.87/1.89	    - Upper bound: -3*V_a+3*V_b+(-V_c+V_d+1)*(-3*V_a+3*V_b)+(-V_c+V_d+1) 
1.87/1.89	    - Complexity: n^2 
1.87/1.89	* Chain [69] with precondition: [0>=2*V_d+1,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	    - Upper bound: -V_a+V_b+(-V_c+V_d+1)*(-V_a+V_b)+(-V_c+V_d) 
1.87/1.89	    - Complexity: n^2 
1.87/1.89	* Chain [68] with precondition: [V_c>=0,V_b>=V_a,V_d>=V_c] 
1.87/1.89	    - Upper bound: 2*V_c+1+(-V_c+V_d+1)*((-V_a+V_b+1)*(4*V_d+4))+(-V_c+V_d+1)*(2*V_d+2)+(-2*V_a+2*V_b+2)+(-2*V_a+2*V_b+2)*(-V_c+V_d+1)+(-V_c+V_d+1) 
1.87/1.89	    - Complexity: n^3 
1.87/1.89	* Chain [67] with precondition: [V_c>=0,V_b>=V_a,V_d>=V_c+1] 
1.87/1.89	    - Upper bound: -2*V_c+2*V_d+(2*V_d+2)*(-2*V_c+2*V_d)+(2*V_d+1) 
1.87/1.89	    - Complexity: n^2 
1.87/1.89	* Chain [66] with precondition: [V_c>=0,V_b>=V_a+1,V_d>=V_c] 
1.87/1.89	    - Upper bound: -3*V_a+3*V_b+(-V_c+V_d+1)*((2*V_d+2)*(-3*V_a+3*V_b))+(-V_c+V_d+1)*(-3*V_a+3*V_b)+(2*V_c+1)+(-V_c+V_d+1)*(2*V_d+2)+(-V_c+V_d+1) 
1.87/1.89	    - Complexity: n^3 
1.87/1.89	* Chain [65] with precondition: [V_c>=0,V_b>=V_a+1,V_d>=V_c+1] 
1.87/1.89	    - Upper bound: -V_a+V_b+(-V_c+V_d+1)*((2*V_d+2)*(-V_a+V_b))+(-V_c+V_d+1)*(-V_a+V_b)+(-2*V_c+2*V_d)+(2*V_d+2)*(-2*V_c+2*V_d)+(2*V_d+1) 
1.87/1.89	    - Complexity: n^3 
1.87/1.89	* Chain [64] with precondition: [V_b>=V_a] 
1.87/1.89	    - Upper bound: 0 
1.87/1.89	    - Complexity: constant 
1.87/1.89	* Chain [63] with precondition: [V_b>=V_a,V_d>=V_c] 
1.87/1.89	    - Upper bound: 0 
1.87/1.89	    - Complexity: constant 
1.87/1.89	* Chain [62] with precondition: [V_b>=V_a,V_c>=V_d+1] 
1.87/1.89	    - Upper bound: -2*V_a+2*V_b+2 
1.87/1.89	    - Complexity: n 
1.87/1.89	* Chain [61] with precondition: [V_b>=V_a+1,V_c>=V_d+1] 
1.87/1.89	    - Upper bound: -V_a+V_b 
1.87/1.89	    - Complexity: n 
1.87/1.89	* Chain [60] with precondition: [V_a>=V_b+1] 
1.87/1.89	    - Upper bound: 0 
1.87/1.89	    - Complexity: constant 
1.87/1.89	
1.87/1.89	### Maximum cost of eval_abc_start(V_6,V_7,V_a,V_b,V_c,V_d,V_i_0,V_j_0,V_k_0,B): max([max([max([nat(-V_c+1/2),nat(2*V_d+1)+nat(-V_c+V_d)+max([nat(-V_c+V_d)*2*nat(2*V_d+2)+nat(-V_c+V_d),nat(V_d)*2*nat(2*V_d+2)+nat(V_d)*2+nat(-V_c+1/2)])]),nat(-V_a+V_b+1)*2+max([nat(2*V_d+2)*2*nat(-V_a+V_b+1)*nat(-V_c+V_d+1)+nat(2*V_c+1)+nat(-V_c+V_d+1)*nat(2*V_d+2)+nat(-V_c+V_d+1)+nat(-V_a+V_b+1)*2*nat(-V_c+V_d+1),nat(V_d+1)+2+nat(2*V_d+2)*nat(V_d+1)+nat(-V_c+V_d)+nat(-V_c+1/2)+nat(-V_c+1/2)*2*nat(-V_a+V_b+1)+nat(2*V_d+2)*nat(2*V_d+2)*nat(-V_a+V_b+1)+nat(-V_a+V_b+1)*nat(2*V_d+2)])]),nat(-V_a+V_b)+max([nat(-V_c+V_d+1)*nat(-V_a+V_b)+max([nat(-V_a+V_b)*3*nat(2*V_d+2)*nat(-V_c+V_d+1)+nat(2*V_c+1)+nat(-V_c+V_d+1)*nat(2*V_d+2)+(nat(-V_a+V_b)*2*nat(-V_c+V_d+1)+nat(-V_a+V_b)*2+nat(-V_c+V_d+1)),nat(2*V_d+2)*nat(-V_a+V_b)*nat(-V_c+V_d+1)+nat(-V_c+V_d)+nat(-V_c+V_d)*2*nat(2*V_d+2)+nat(2*V_d+1)+nat(-V_c+V_d)]),1/2*nat(-V_a+V_b)*nat(2*V_d+2)+nat(-V_c+1/2)*nat(-V_a+V_b)+1/2*nat(-V_a+V_b)*nat(2*V_d+2)*nat(2*V_d+2)+nat(-V_c+V_d)+nat(-V_c+1/2)+max([nat(V_d)*2*nat(2*V_d+2)+nat(V_d)*2+nat(2*V_d+1),nat(V_d+1)+2+nat(2*V_d+2)*nat(V_d+1)+nat(-V_a+V_b)*4+nat(-V_a+V_b)*4*nat(-V_c+1/2)+nat(-V_a+V_b)*2*nat(2*V_d+2)+nat(-V_a+V_b)*2*nat(2*V_d+2)*nat(2*V_d+2)+nat(-V_c+V_d)*2])])]) 
1.87/1.89	Asymptotic class: n^3 
1.87/1.89	* Total analysis performed in 1739 ms.
1.87/1.89	
1.90/1.99	EOF