1.38/1.38	WORST_CASE(?,O(n^4))  
1.38/1.38	
1.38/1.40	Preprocessing Cost Relations
1.38/1.40	=====================================
1.38/1.40	
1.38/1.40	#### Computed strongly connected components 
1.38/1.40	0. recursive  : [eval_abc_bb4_in/5,eval_abc_bb5_in/5]
1.38/1.40	1. recursive  : [eval_abc_bb3_in/8,eval_abc_bb4_in_loop_cont/9]
1.38/1.40	2. recursive  : [eval_abc_12/13,eval_abc_13/13,eval_abc_bb2_in/13,eval_abc_bb3_in_loop_cont/14,eval_abc_bb6_in/13]
1.38/1.40	3. recursive  : [eval_abc_15/16,eval_abc_16/16,eval_abc_bb1_in/16,eval_abc_bb2_in_loop_cont/17,eval_abc_bb7_in/16]
1.38/1.40	4. non_recursive  : [eval_abc_stop/9]
1.38/1.40	5. non_recursive  : [eval_abc_bb8_in/9]
1.38/1.40	6. non_recursive  : [exit_location/1]
1.38/1.40	7. non_recursive  : [eval_abc_bb1_in_loop_cont/10]
1.38/1.40	8. non_recursive  : [eval_abc_6/9]
1.38/1.40	9. non_recursive  : [eval_abc_5/9]
1.38/1.40	10. non_recursive  : [eval_abc_4/9]
1.38/1.40	11. non_recursive  : [eval_abc_3/9]
1.38/1.40	12. non_recursive  : [eval_abc_2/9]
1.38/1.40	13. non_recursive  : [eval_abc_1/9]
1.38/1.40	14. non_recursive  : [eval_abc_0/9]
1.38/1.40	15. non_recursive  : [eval_abc_bb0_in/9]
1.38/1.40	16. non_recursive  : [eval_abc_start/9]
1.38/1.40	
1.38/1.40	#### Obtained direct recursion through partial evaluation 
1.38/1.40	0. SCC is partially evaluated into eval_abc_bb4_in/5
1.38/1.40	1. SCC is partially evaluated into eval_abc_bb3_in/8
1.38/1.40	2. SCC is partially evaluated into eval_abc_bb2_in/13
1.38/1.40	3. SCC is partially evaluated into eval_abc_bb1_in/16
1.38/1.40	4. SCC is completely evaluated into other SCCs
1.38/1.40	5. SCC is completely evaluated into other SCCs
1.38/1.40	6. SCC is completely evaluated into other SCCs
1.38/1.40	7. SCC is partially evaluated into eval_abc_bb1_in_loop_cont/10
1.38/1.40	8. SCC is partially evaluated into eval_abc_6/9
1.38/1.40	9. SCC is completely evaluated into other SCCs
1.38/1.40	10. SCC is completely evaluated into other SCCs
1.38/1.40	11. SCC is completely evaluated into other SCCs
1.38/1.40	12. SCC is completely evaluated into other SCCs
1.38/1.40	13. SCC is completely evaluated into other SCCs
1.38/1.40	14. SCC is completely evaluated into other SCCs
1.38/1.40	15. SCC is completely evaluated into other SCCs
1.38/1.40	16. SCC is partially evaluated into eval_abc_start/9
1.38/1.40	
1.38/1.40	Control-Flow Refinement of Cost Relations
1.38/1.40	=====================================
1.38/1.40	
1.38/1.40	### Specialization of cost equations eval_abc_bb4_in/5 
1.38/1.40	* CE 19 is refined into CE [20] 
1.38/1.40	* CE 18 is refined into CE [21] 
1.38/1.40	* CE 17 is refined into CE [22] 
1.38/1.40	
1.38/1.40	
1.38/1.40	### Cost equations --> "Loop" of eval_abc_bb4_in/5 
1.38/1.40	* CEs [22] --> Loop 20 
1.38/1.40	* CEs [20] --> Loop 21 
1.38/1.40	* CEs [21] --> Loop 22 
1.38/1.40	
1.38/1.40	### Ranking functions of CR eval_abc_bb4_in(V_2,V_i_0_sink,V_l_0,B,C) 
1.38/1.40	* RF of phase [20]: [V_2-V_l_0+1,V_i_0_sink-V_l_0+2]
1.38/1.40	
1.38/1.40	#### Partial ranking functions of CR eval_abc_bb4_in(V_2,V_i_0_sink,V_l_0,B,C) 
1.38/1.40	* Partial RF of phase [20]:
1.38/1.40	  - RF of loop [20:1]:
1.38/1.40	    V_2-V_l_0+1
1.38/1.40	    V_i_0_sink-V_l_0+2
1.38/1.40	
1.38/1.40	
1.38/1.40	### Specialization of cost equations eval_abc_bb3_in/8 
1.38/1.40	* CE 15 is refined into CE [23] 
1.38/1.40	* CE 13 is refined into CE [24,25] 
1.38/1.40	* CE 16 is refined into CE [26] 
1.38/1.40	* CE 14 is refined into CE [27] 
1.38/1.40	
1.38/1.40	
1.38/1.40	### Cost equations --> "Loop" of eval_abc_bb3_in/8 
1.38/1.40	* CEs [27] --> Loop 23 
1.38/1.40	* CEs [23] --> Loop 24 
1.38/1.40	* CEs [24,25] --> Loop 25 
1.38/1.40	* CEs [26] --> Loop 26 
1.38/1.40	
1.38/1.40	### Ranking functions of CR eval_abc_bb3_in(V_2,V_i_0_sink,V_l_0,V_m,B,C,D,E) 
1.38/1.40	* RF of phase [23]: [-V_i_0_sink+V_m]
1.38/1.40	
1.38/1.40	#### Partial ranking functions of CR eval_abc_bb3_in(V_2,V_i_0_sink,V_l_0,V_m,B,C,D,E) 
1.38/1.40	* Partial RF of phase [23]:
1.38/1.40	  - RF of loop [23:1]:
1.38/1.40	    -V_i_0_sink+V_m
1.38/1.40	
1.38/1.40	
1.38/1.40	### Specialization of cost equations eval_abc_bb2_in/13 
1.38/1.40	* CE 11 is refined into CE [28] 
1.38/1.40	* CE 9 is refined into CE [29,30,31] 
1.38/1.40	* CE 12 is refined into CE [32] 
1.38/1.40	* CE 10 is refined into CE [33,34] 
1.38/1.40	
1.38/1.40	
1.38/1.40	### Cost equations --> "Loop" of eval_abc_bb2_in/13 
1.38/1.40	* CEs [34] --> Loop 27 
1.38/1.40	* CEs [33] --> Loop 28 
1.38/1.40	* CEs [28] --> Loop 29 
1.38/1.40	* CEs [31] --> Loop 30 
1.38/1.40	* CEs [30] --> Loop 31 
1.38/1.40	* CEs [29] --> Loop 32 
1.38/1.40	* CEs [32] --> Loop 33 
1.38/1.40	
1.38/1.40	### Ranking functions of CR eval_abc_bb2_in(V_2,V_6,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B,C,D,E,F,G) 
1.38/1.40	* RF of phase [27]: [V_i_0-V_j_0+1,-V_j_0+V_m]
1.38/1.40	* RF of phase [28]: [V_i_0-V_j_0+1,-V_j_0+V_m+1]
1.38/1.40	
1.38/1.40	#### Partial ranking functions of CR eval_abc_bb2_in(V_2,V_6,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B,C,D,E,F,G) 
1.38/1.40	* Partial RF of phase [27]:
1.38/1.40	  - RF of loop [27:1]:
1.38/1.40	    V_i_0-V_j_0+1
1.38/1.40	    -V_j_0+V_m
1.38/1.40	* Partial RF of phase [28]:
1.38/1.40	  - RF of loop [28:1]:
1.38/1.40	    V_i_0-V_j_0+1
1.38/1.40	    -V_j_0+V_m+1
1.38/1.40	
1.38/1.40	
1.38/1.40	### Specialization of cost equations eval_abc_bb1_in/16 
1.38/1.40	* CE 5 is refined into CE [35] 
1.38/1.40	* CE 3 is refined into CE [36,37,38,39,40,41,42,43] 
1.38/1.40	* CE 6 is refined into CE [44] 
1.38/1.40	* CE 4 is refined into CE [45,46] 
1.38/1.40	
1.38/1.40	
1.38/1.40	### Cost equations --> "Loop" of eval_abc_bb1_in/16 
1.38/1.40	* CEs [45] --> Loop 34 
1.38/1.40	* CEs [46] --> Loop 35 
1.38/1.40	* CEs [35] --> Loop 36 
1.38/1.40	* CEs [43] --> Loop 37 
1.38/1.40	* CEs [41] --> Loop 38 
1.38/1.40	* CEs [42] --> Loop 39 
1.38/1.40	* CEs [40] --> Loop 40 
1.38/1.40	* CEs [38,39] --> Loop 41 
1.38/1.40	* CEs [44] --> Loop 42 
1.38/1.40	* CEs [37] --> Loop 43 
1.38/1.40	* CEs [36] --> Loop 44 
1.38/1.40	
1.38/1.40	### Ranking functions of CR eval_abc_bb1_in(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B,C,D,E,F,G,H,I) 
1.38/1.40	* RF of phase [35]: [-V_i_0+V_m]
1.38/1.40	
1.38/1.40	#### Partial ranking functions of CR eval_abc_bb1_in(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B,C,D,E,F,G,H,I) 
1.38/1.40	* Partial RF of phase [35]:
1.38/1.40	  - RF of loop [35:1]:
1.38/1.40	    -V_i_0+V_m
1.38/1.40	
1.38/1.40	
1.38/1.40	### Specialization of cost equations eval_abc_bb1_in_loop_cont/10 
1.38/1.40	* CE 7 is refined into CE [47] 
1.38/1.40	* CE 8 is refined into CE [48] 
1.38/1.40	
1.38/1.40	
1.38/1.40	### Cost equations --> "Loop" of eval_abc_bb1_in_loop_cont/10 
1.38/1.40	* CEs [47] --> Loop 45 
1.38/1.41	* CEs [48] --> Loop 46 
1.38/1.41	
1.38/1.41	### Ranking functions of CR eval_abc_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J) 
1.38/1.41	
1.38/1.41	#### Partial ranking functions of CR eval_abc_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J) 
1.38/1.41	
1.38/1.41	
1.38/1.41	### Specialization of cost equations eval_abc_6/9 
1.38/1.41	* CE 2 is refined into CE [49,50,51,52,53,54,55,56,57] 
1.38/1.41	
1.38/1.41	
1.38/1.41	### Cost equations --> "Loop" of eval_abc_6/9 
1.38/1.41	* CEs [54] --> Loop 47 
1.38/1.41	* CEs [53] --> Loop 48 
1.38/1.41	* CEs [52,57] --> Loop 49 
1.38/1.41	* CEs [51] --> Loop 50 
1.38/1.41	* CEs [55] --> Loop 51 
1.38/1.41	* CEs [49,56] --> Loop 52 
1.38/1.41	* CEs [50] --> Loop 53 
1.38/1.41	
1.38/1.41	### Ranking functions of CR eval_abc_6(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B) 
1.38/1.41	
1.38/1.41	#### Partial ranking functions of CR eval_abc_6(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B) 
1.38/1.41	
1.38/1.41	
1.38/1.41	### Specialization of cost equations eval_abc_start/9 
1.38/1.41	* CE 1 is refined into CE [58,59,60,61,62,63,64] 
1.38/1.41	
1.38/1.41	
1.38/1.41	### Cost equations --> "Loop" of eval_abc_start/9 
1.38/1.41	* CEs [64] --> Loop 54 
1.38/1.41	* CEs [63] --> Loop 55 
1.38/1.41	* CEs [62] --> Loop 56 
1.38/1.41	* CEs [61] --> Loop 57 
1.38/1.41	* CEs [60] --> Loop 58 
1.38/1.41	* CEs [59] --> Loop 59 
1.38/1.41	* CEs [58] --> Loop 60 
1.38/1.41	
1.38/1.41	### Ranking functions of CR eval_abc_start(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B) 
1.38/1.41	
1.38/1.41	#### Partial ranking functions of CR eval_abc_start(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B) 
1.38/1.41	
1.38/1.41	
1.38/1.41	Computing Bounds
1.38/1.41	=====================================
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_bb4_in(V_2,V_i_0_sink,V_l_0,B,C):
1.38/1.41	* Chain [[20],22]: 1*it(20)+0
1.38/1.41	  Such that:it(20) =< -V_l_0+C
1.38/1.41	
1.38/1.41	  with precondition: [B=2,V_2=V_i_0_sink+1,V_2+1=C,V_2>=2,V_l_0>=1,V_2>=V_l_0] 
1.38/1.41	
1.38/1.41	* Chain [[20],21]: 1*it(20)+0
1.38/1.41	  Such that:it(20) =< V_2-V_l_0+1
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_2=V_i_0_sink+1,V_2>=2,V_l_0>=1,V_2>=V_l_0] 
1.38/1.41	
1.38/1.41	* Chain [21]: 0
1.38/1.41	  with precondition: [B=3,V_i_0_sink+1=V_2,V_i_0_sink>=1,V_l_0>=1] 
1.38/1.41	
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_bb3_in(V_2,V_i_0_sink,V_l_0,V_m,B,C,D,E):
1.38/1.41	* Chain [[23],26]: 1*it(23)+1*s(3)+0
1.38/1.41	  Such that:it(23) =< -V_i_0_sink+V_m
1.38/1.41	aux(1) =< V_m
1.38/1.41	s(3) =< it(23)*aux(1)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0_sink>=1,V_m>=V_i_0_sink+1] 
1.38/1.41	
1.38/1.41	* Chain [[23],25]: 1*it(23)+1*s(3)+1*s(4)+0
1.38/1.41	  Such that:it(23) =< -V_i_0_sink+V_m
1.38/1.41	aux(2) =< V_m
1.38/1.41	s(4) =< aux(2)
1.38/1.41	s(3) =< it(23)*aux(2)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0_sink>=1,V_m>=V_i_0_sink+2] 
1.38/1.41	
1.38/1.41	* Chain [[23],24]: 1*it(23)+1*s(3)+0
1.38/1.41	  Such that:it(23) =< -V_i_0_sink+C
1.38/1.41	aux(1) =< C
1.38/1.41	s(3) =< it(23)*aux(1)
1.38/1.41	
1.38/1.41	  with precondition: [B=4,V_m+1=C,V_m=D,V_m+1=E,V_i_0_sink>=1,V_m>=V_i_0_sink+1] 
1.38/1.41	
1.38/1.41	* Chain [26]: 0
1.38/1.41	  with precondition: [B=3,V_i_0_sink>=1,V_m>=V_i_0_sink] 
1.38/1.41	
1.38/1.41	* Chain [25]: 1*s(4)+0
1.38/1.41	  Such that:s(4) =< V_i_0_sink+1
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0_sink>=1,V_m>=V_i_0_sink+1] 
1.38/1.41	
1.38/1.41	* Chain [24]: 0
1.38/1.41	  with precondition: [B=4,V_m=V_i_0_sink,E=V_l_0,V_m+1=C,V_m=D,V_m>=1] 
1.38/1.41	
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_bb2_in(V_2,V_6,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B,C,D,E,F,G):
1.38/1.41	* Chain [[28],33]: 1*it(28)+0
1.38/1.41	  Such that:it(28) =< -V_j_0+V_m+1
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0=V_m,V_j_0>=1,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	* Chain [[28],32]: 1*it(28)+0
1.38/1.41	  Such that:it(28) =< -V_j_0+V_m
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0=V_m,V_j_0>=1,V_i_0>=V_j_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[28],29]: 1*it(28)+0
1.38/1.41	  Such that:it(28) =< -V_j_0+C
1.38/1.41	
1.38/1.41	  with precondition: [B=5,V_i_0=V_m,V_i_0+1=C,V_i_0+1=D,V_i_0=E,V_i_0+1=F,V_l_0=G,V_j_0>=1,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	* Chain [[27],33]: 1*it(27)+1*s(15)+1*s(16)+0
1.38/1.41	  Such that:aux(3) =< -V_i_0+V_m+1
1.38/1.41	it(27) =< V_i_0-V_j_0+1
1.38/1.41	s(12) =< V_m+1
1.38/1.41	s(15) =< it(27)*aux(3)
1.38/1.41	s(16) =< s(15)*s(12)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0+1,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	* Chain [[27],32]: 1*it(27)+1*s(15)+1*s(16)+0
1.38/1.41	  Such that:aux(3) =< -V_i_0+V_m+1
1.38/1.41	it(27) =< V_i_0-V_j_0
1.38/1.41	s(12) =< V_m+1
1.38/1.41	s(15) =< it(27)*aux(3)
1.38/1.41	s(16) =< s(15)*s(12)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0+1,V_i_0>=V_j_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[27],31]: 1*it(27)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(20)+0
1.38/1.41	  Such that:s(17) =< -V_i_0+V_m
1.38/1.41	aux(3) =< -V_i_0+V_m+1
1.38/1.41	s(18) =< V_i_0+1
1.38/1.41	it(27) =< V_i_0-V_j_0
1.38/1.41	s(19) =< V_m
1.38/1.41	s(12) =< V_m+1
1.38/1.41	s(20) =< s(17)*s(19)
1.38/1.41	s(15) =< it(27)*aux(3)
1.38/1.41	s(16) =< s(15)*s(12)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0+1,V_i_0>=V_j_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[27],30]: 1*it(27)+1*s(15)+1*s(16)+1*s(21)+1*s(23)+1*s(24)+0
1.38/1.41	  Such that:s(21) =< -V_i_0+V_m
1.38/1.41	aux(3) =< -V_i_0+V_m+1
1.38/1.41	it(27) =< V_i_0-V_j_0
1.38/1.41	s(22) =< V_m
1.38/1.41	s(12) =< V_m+1
1.38/1.41	s(23) =< s(22)
1.38/1.41	s(24) =< s(21)*s(22)
1.38/1.41	s(15) =< it(27)*aux(3)
1.38/1.41	s(16) =< s(15)*s(12)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0+2,V_i_0>=V_j_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[27],29]: 1*it(27)+1*s(15)+1*s(16)+0
1.38/1.41	  Such that:it(27) =< -V_j_0+D
1.38/1.41	s(12) =< C
1.38/1.41	aux(3) =< C-D+1
1.38/1.41	s(15) =< it(27)*aux(3)
1.38/1.41	s(16) =< s(15)*s(12)
1.38/1.41	
1.38/1.41	  with precondition: [B=5,V_m+1=C,V_i_0+1=D,V_m=E,V_i_0+1=F,V_m+1=G,V_j_0>=1,V_m>=V_i_0+1,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	* Chain [33]: 0
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_j_0>=1,V_m>=V_i_0] 
1.38/1.41	
1.38/1.41	* Chain [32]: 0
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	* Chain [31]: 1*s(17)+1*s(18)+1*s(20)+0
1.38/1.41	  Such that:s(17) =< -V_i_0+V_m
1.38/1.41	s(18) =< V_i_0+1
1.38/1.41	s(19) =< V_m
1.38/1.41	s(20) =< s(17)*s(19)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0+1,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	* Chain [30]: 1*s(21)+1*s(23)+1*s(24)+0
1.38/1.41	  Such that:s(21) =< -V_i_0+V_m
1.38/1.41	s(22) =< V_m
1.38/1.41	s(23) =< s(22)
1.38/1.41	s(24) =< s(21)*s(22)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_j_0>=1,V_m>=V_i_0+2,V_i_0>=V_j_0] 
1.38/1.41	
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_bb1_in(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B,C,D,E,F,G,H,I):
1.38/1.41	* Chain [[35],44]: 1*it(35)+1*s(48)+1*s(59)+1*s(60)+1*s(61)+0
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m
1.38/1.41	aux(9) =< V_m
1.38/1.41	s(48) =< aux(9)
1.38/1.41	aux(7) =< aux(9)
1.38/1.41	aux(7) =< aux(9)
1.38/1.41	s(54) =< aux(9)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(9)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[35],43]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(62)+0
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m
1.38/1.41	aux(10) =< V_m
1.38/1.41	s(62) =< aux(10)
1.38/1.41	aux(7) =< aux(10)
1.38/1.41	aux(7) =< aux(10)
1.38/1.41	s(54) =< aux(10)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(10)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[35],42]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+0
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m
1.38/1.41	aux(8) =< V_m
1.38/1.41	aux(7) =< aux(8)
1.38/1.41	aux(7) =< aux(8)
1.38/1.41	s(54) =< aux(8)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(8)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[35],41]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+0
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m
1.38/1.41	aux(8) =< V_m
1.38/1.41	aux(7) =< aux(8)
1.38/1.41	aux(7) =< aux(8)
1.38/1.41	s(54) =< aux(8)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(8)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[35],40]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(63)+1*s(65)+1*s(66)+1*s(69)+1*s(70)+1*s(71)+0
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m+1
1.38/1.41	aux(11) =< -V_i_0+V_m
1.38/1.41	aux(12) =< V_m
1.38/1.41	aux(13) =< V_m+1
1.38/1.41	aux(14) =< V_m+2
1.38/1.41	it(35) =< aux(11)
1.38/1.41	s(63) =< aux(11)
1.38/1.41	s(66) =< aux(12)
1.38/1.41	s(63) =< aux(13)
1.38/1.41	s(64) =< aux(13)
1.38/1.41	s(65) =< aux(13)
1.38/1.41	s(66) =< aux(13)
1.38/1.41	s(64) =< aux(14)
1.38/1.41	s(65) =< aux(14)
1.38/1.41	s(69) =< s(63)*aux(12)
1.38/1.41	s(70) =< s(66)*s(64)
1.38/1.41	s(71) =< s(70)*aux(13)
1.38/1.41	aux(7) =< aux(12)
1.38/1.41	aux(7) =< aux(12)
1.38/1.41	s(54) =< aux(12)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(12)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+2] 
1.38/1.41	
1.38/1.41	* Chain [[35],39]: 2*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(74)+1*s(75)+0
1.38/1.41	  Such that:aux(15) =< -V_i_0+V_m
1.38/1.41	aux(16) =< V_m
1.38/1.41	it(35) =< aux(15)
1.38/1.41	s(74) =< aux(16)
1.38/1.41	s(75) =< it(35)*aux(16)
1.38/1.41	aux(7) =< aux(16)
1.38/1.41	aux(7) =< aux(16)
1.38/1.41	s(54) =< aux(16)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(16)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+3] 
1.38/1.41	
1.38/1.41	* Chain [[35],38]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(76)+1*s(77)+2*s(82)+1*s(83)+2*s(84)+2*s(85)+0
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m
1.38/1.41	aux(17) =< -V_i_0+V_m+1
1.38/1.41	aux(18) =< V_m
1.38/1.41	aux(19) =< V_m+1
1.38/1.41	aux(20) =< V_m+2
1.38/1.41	it(35) =< aux(17)
1.38/1.41	s(79) =< aux(17)
1.38/1.41	s(76) =< aux(18)
1.38/1.41	s(80) =< aux(18)
1.38/1.41	s(76) =< aux(19)
1.38/1.41	s(77) =< aux(19)
1.38/1.41	s(80) =< aux(19)
1.38/1.41	s(77) =< aux(20)
1.38/1.41	s(79) =< aux(20)
1.38/1.41	s(82) =< s(80)
1.38/1.41	s(83) =< s(76)*aux(18)
1.38/1.41	s(84) =< s(82)*s(79)
1.38/1.41	s(85) =< s(84)*aux(19)
1.38/1.41	aux(7) =< aux(18)
1.38/1.41	aux(7) =< aux(18)
1.38/1.41	s(54) =< aux(18)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(18)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+2] 
1.38/1.41	
1.38/1.41	* Chain [[35],37]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(86)+1*s(88)+1*s(91)+1*s(92)+1*s(93)+1*s(94)+0
1.38/1.41	  Such that:aux(21) =< -V_i_0+V_m
1.38/1.41	aux(22) =< -V_i_0+V_m+1
1.38/1.41	aux(23) =< V_m
1.38/1.41	aux(24) =< V_m+1
1.38/1.41	it(35) =< aux(21)
1.38/1.41	s(86) =< aux(21)
1.38/1.41	it(35) =< aux(22)
1.38/1.41	s(87) =< aux(22)
1.38/1.41	s(86) =< aux(23)
1.38/1.41	s(88) =< aux(23)
1.38/1.41	s(87) =< aux(24)
1.38/1.41	s(88) =< aux(24)
1.38/1.41	s(91) =< aux(23)
1.38/1.41	s(92) =< s(86)*aux(23)
1.38/1.41	s(93) =< s(88)*s(87)
1.38/1.41	s(94) =< s(93)*aux(24)
1.38/1.41	aux(7) =< aux(23)
1.38/1.41	aux(7) =< aux(23)
1.38/1.41	s(54) =< aux(23)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(23)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+3] 
1.38/1.41	
1.38/1.41	* Chain [[35],34,42]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(95)+1
1.38/1.41	  Such that:it(35) =< -V_i_0+V_m
1.38/1.41	aux(8) =< V_m
1.38/1.41	s(95) =< V_m+1
1.38/1.41	aux(7) =< aux(8)
1.38/1.41	aux(7) =< aux(8)
1.38/1.41	s(54) =< aux(8)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(8)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [[35],34,36]: 1*it(35)+1*s(59)+1*s(60)+1*s(61)+1*s(95)+1
1.38/1.41	  Such that:it(35) =< -V_i_0+C
1.38/1.41	aux(25) =< C
1.38/1.41	s(95) =< aux(25)
1.38/1.41	aux(7) =< aux(25)
1.38/1.41	aux(7) =< aux(25)
1.38/1.41	s(54) =< aux(25)+1
1.38/1.41	s(59) =< it(35)*aux(7)
1.38/1.41	s(60) =< s(59)*aux(25)
1.38/1.41	s(61) =< s(60)*s(54)
1.38/1.41	
1.38/1.41	  with precondition: [B=6,V_m+1=C,V_m+1=D,V_m+1=E,V_m+1=F,V_m=G,V_m+1=H,V_m+1=I,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [44]: 1*s(48)+0
1.38/1.41	  Such that:s(48) =< V_i_0
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0=V_m,V_i_0>=1] 
1.38/1.41	
1.38/1.41	* Chain [42]: 0
1.38/1.41	  with precondition: [B=3,V_i_0>=1] 
1.38/1.41	
1.38/1.41	* Chain [41]: 0
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0] 
1.38/1.41	
1.38/1.41	* Chain [40]: 1*s(63)+1*s(65)+1*s(66)+1*s(69)+1*s(70)+1*s(71)+0
1.38/1.41	  Such that:s(63) =< -V_i_0+V_m
1.38/1.41	s(64) =< -V_i_0+V_m+1
1.38/1.41	s(66) =< V_i_0
1.38/1.41	s(65) =< V_i_0+1
1.38/1.41	s(67) =< V_m
1.38/1.41	s(68) =< V_m+1
1.38/1.41	s(69) =< s(63)*s(67)
1.38/1.41	s(70) =< s(66)*s(64)
1.38/1.41	s(71) =< s(70)*s(68)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+1] 
1.38/1.41	
1.38/1.41	* Chain [39]: 1*s(72)+1*s(74)+1*s(75)+0
1.38/1.41	  Such that:s(72) =< -V_i_0+V_m
1.38/1.41	s(73) =< V_m
1.38/1.41	s(74) =< s(73)
1.38/1.41	s(75) =< s(72)*s(73)
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0>=1,V_m>=V_i_0+2] 
1.38/1.41	
1.38/1.41	* Chain [36]: 0
1.38/1.41	  with precondition: [B=6,C=V_2,D=V_6,E=V_7,G=V_i_0_sink,H=V_j_0,I=V_l_0,V_i_0=F,V_i_0>=1,V_i_0>=V_m+1] 
1.38/1.41	
1.38/1.41	* Chain [34,42]: 1*s(95)+1
1.38/1.41	  Such that:s(95) =< V_m+1
1.38/1.41	
1.38/1.41	  with precondition: [B=3,V_i_0=V_m,V_i_0>=1] 
1.38/1.41	
1.38/1.41	* Chain [34,36]: 1*s(95)+1
1.38/1.41	  Such that:s(95) =< C
1.38/1.41	
1.38/1.41	  with precondition: [B=6,V_i_0=V_m,V_i_0+1=C,V_i_0+1=D,V_i_0+1=E,V_i_0+1=F,V_i_0=G,V_i_0+1=H,V_l_0=I,V_i_0>=1] 
1.38/1.41	
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J):
1.38/1.41	* Chain [46]: 0
1.38/1.41	  with precondition: [A=3] 
1.38/1.41	
1.38/1.41	* Chain [45]: 0
1.38/1.41	  with precondition: [A=6] 
1.38/1.41	
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_6(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B):
1.38/1.41	* Chain [53]: 0
1.38/1.41	  with precondition: [] 
1.38/1.41	
1.38/1.41	* Chain [52]: 6
1.38/1.41	  with precondition: [V_m=1] 
1.38/1.41	
1.38/1.41	* Chain [51]: 0
1.38/1.41	  with precondition: [0>=V_m] 
1.38/1.41	
1.38/1.41	* Chain [50]: 0
1.38/1.41	  with precondition: [V_m>=1] 
1.38/1.41	
1.38/1.41	* Chain [49]: 1*s(215)+1*s(216)+9*s(220)+2*s(221)+1*s(222)+1*s(223)+1*s(224)+5*s(227)+5*s(228)+5*s(229)+1*s(236)+1*s(237)+1*s(238)+1
1.38/1.41	  Such that:s(215) =< 1
1.38/1.41	s(216) =< 2
1.38/1.41	aux(38) =< V_m
1.38/1.41	aux(39) =< V_m+1
1.38/1.41	s(220) =< aux(38)
1.38/1.41	s(221) =< aux(39)
1.38/1.41	s(222) =< s(220)*aux(38)
1.38/1.41	s(223) =< s(215)*aux(38)
1.38/1.41	s(224) =< s(223)*aux(39)
1.38/1.41	s(225) =< aux(38)
1.38/1.41	s(225) =< aux(38)
1.38/1.41	s(226) =< aux(38)+1
1.38/1.41	s(227) =< s(220)*s(225)
1.38/1.41	s(228) =< s(227)*aux(38)
1.38/1.41	s(229) =< s(228)*s(226)
1.38/1.41	s(234) =< aux(39)
1.38/1.41	s(234) =< aux(39)
1.38/1.41	s(235) =< aux(39)+1
1.38/1.41	s(236) =< s(220)*s(234)
1.38/1.41	s(237) =< s(236)*aux(39)
1.38/1.41	s(238) =< s(237)*s(235)
1.38/1.41	
1.38/1.41	  with precondition: [V_m>=2] 
1.38/1.41	
1.38/1.41	* Chain [48]: 4*s(244)+1*s(247)+3*s(249)+2*s(251)+2*s(252)+2*s(253)+2*s(254)+2*s(255)+2*s(258)+2*s(259)+2*s(260)+1*s(264)+1*s(265)+0
1.38/1.41	  Such that:s(242) =< V_m+1
1.38/1.41	s(243) =< V_m+2
1.38/1.41	aux(40) =< V_m
1.38/1.41	s(244) =< aux(40)
1.38/1.41	s(247) =< s(244)*aux(40)
1.38/1.41	s(248) =< aux(40)
1.38/1.41	s(249) =< aux(40)
1.38/1.41	s(250) =< aux(40)
1.38/1.41	s(249) =< s(242)
1.38/1.41	s(251) =< s(242)
1.38/1.41	s(250) =< s(242)
1.38/1.41	s(251) =< s(243)
1.38/1.41	s(248) =< s(243)
1.38/1.41	s(252) =< s(250)
1.38/1.41	s(253) =< s(249)*aux(40)
1.38/1.41	s(254) =< s(252)*s(248)
1.38/1.41	s(255) =< s(254)*s(242)
1.38/1.41	s(256) =< aux(40)
1.38/1.41	s(256) =< aux(40)
1.38/1.41	s(257) =< aux(40)+1
1.38/1.41	s(258) =< s(244)*s(256)
1.38/1.41	s(259) =< s(258)*aux(40)
1.38/1.41	s(260) =< s(259)*s(257)
1.38/1.41	s(262) =< s(242)
1.38/1.41	s(262) =< s(243)
1.38/1.41	s(264) =< s(249)*s(262)
1.38/1.41	s(265) =< s(264)*s(242)
1.38/1.41	
1.38/1.41	  with precondition: [V_m>=3] 
1.38/1.41	
1.38/1.41	* Chain [47]: 6*s(270)+1*s(273)+2*s(275)+1*s(276)+1*s(277)+2*s(280)+2*s(281)+2*s(282)+0
1.38/1.41	  Such that:s(267) =< V_m+1
1.38/1.41	aux(41) =< V_m
1.38/1.41	s(270) =< aux(41)
1.38/1.41	s(272) =< aux(41)
1.38/1.41	s(273) =< aux(41)
1.38/1.41	s(272) =< s(267)
1.38/1.41	s(273) =< s(267)
1.38/1.41	s(275) =< s(270)*aux(41)
1.38/1.41	s(276) =< s(273)*s(272)
1.38/1.41	s(277) =< s(276)*s(267)
1.38/1.41	s(278) =< aux(41)
1.38/1.41	s(278) =< aux(41)
1.38/1.41	s(279) =< aux(41)+1
1.38/1.41	s(280) =< s(270)*s(278)
1.38/1.41	s(281) =< s(280)*aux(41)
1.38/1.41	s(282) =< s(281)*s(279)
1.38/1.41	
1.38/1.41	  with precondition: [V_m>=4] 
1.38/1.41	
1.38/1.41	
1.38/1.41	#### Cost of chains of eval_abc_start(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B):
1.38/1.41	* Chain [60]: 0
1.38/1.41	  with precondition: [] 
1.38/1.41	
1.38/1.41	* Chain [59]: 6
1.38/1.41	  with precondition: [V_m=1] 
1.38/1.41	
1.38/1.41	* Chain [58]: 0
1.38/1.41	  with precondition: [0>=V_m] 
1.38/1.41	
1.38/1.41	* Chain [57]: 0
1.38/1.41	  with precondition: [V_m>=1] 
1.38/1.41	
1.38/1.41	* Chain [56]: 1*s(288)+1*s(289)+9*s(292)+2*s(293)+1*s(294)+1*s(295)+1*s(296)+5*s(299)+5*s(300)+5*s(301)+1*s(304)+1*s(305)+1*s(306)+1
1.38/1.41	  Such that:s(288) =< 1
1.38/1.41	s(289) =< 2
1.38/1.41	s(290) =< V_m
1.38/1.41	s(291) =< V_m+1
1.38/1.41	s(292) =< s(290)
1.38/1.41	s(293) =< s(291)
1.38/1.41	s(294) =< s(292)*s(290)
1.38/1.41	s(295) =< s(288)*s(290)
1.38/1.41	s(296) =< s(295)*s(291)
1.38/1.41	s(297) =< s(290)
1.38/1.41	s(297) =< s(290)
1.38/1.41	s(298) =< s(290)+1
1.38/1.41	s(299) =< s(292)*s(297)
1.38/1.41	s(300) =< s(299)*s(290)
1.38/1.41	s(301) =< s(300)*s(298)
1.38/1.41	s(302) =< s(291)
1.38/1.41	s(302) =< s(291)
1.38/1.41	s(303) =< s(291)+1
1.38/1.41	s(304) =< s(292)*s(302)
1.38/1.41	s(305) =< s(304)*s(291)
1.38/1.41	s(306) =< s(305)*s(303)
1.38/1.41	
1.38/1.41	  with precondition: [V_m>=2] 
1.38/1.41	
1.38/1.41	* Chain [55]: 4*s(310)+1*s(311)+3*s(313)+2*s(315)+2*s(316)+2*s(317)+2*s(318)+2*s(319)+2*s(322)+2*s(323)+2*s(324)+1*s(326)+1*s(327)+0
1.38/1.41	  Such that:s(309) =< V_m
1.38/1.41	s(307) =< V_m+1
1.38/1.41	s(308) =< V_m+2
1.38/1.41	s(310) =< s(309)
1.38/1.41	s(311) =< s(310)*s(309)
1.38/1.41	s(312) =< s(309)
1.38/1.41	s(313) =< s(309)
1.38/1.41	s(314) =< s(309)
1.38/1.41	s(313) =< s(307)
1.38/1.41	s(315) =< s(307)
1.38/1.41	s(314) =< s(307)
1.38/1.41	s(315) =< s(308)
1.38/1.41	s(312) =< s(308)
1.38/1.41	s(316) =< s(314)
1.38/1.41	s(317) =< s(313)*s(309)
1.38/1.41	s(318) =< s(316)*s(312)
1.38/1.41	s(319) =< s(318)*s(307)
1.38/1.41	s(320) =< s(309)
1.38/1.41	s(320) =< s(309)
1.38/1.41	s(321) =< s(309)+1
1.38/1.41	s(322) =< s(310)*s(320)
1.38/1.41	s(323) =< s(322)*s(309)
1.38/1.41	s(324) =< s(323)*s(321)
1.38/1.41	s(325) =< s(307)
1.38/1.41	s(325) =< s(308)
1.38/1.41	s(326) =< s(313)*s(325)
1.38/1.41	s(327) =< s(326)*s(307)
1.38/1.41	
1.38/1.41	  with precondition: [V_m>=3] 
1.38/1.41	
1.38/1.41	* Chain [54]: 6*s(330)+1*s(332)+2*s(333)+1*s(334)+1*s(335)+2*s(338)+2*s(339)+2*s(340)+0
1.38/1.41	  Such that:s(329) =< V_m
1.38/1.41	s(328) =< V_m+1
1.38/1.41	s(330) =< s(329)
1.38/1.41	s(331) =< s(329)
1.38/1.41	s(332) =< s(329)
1.38/1.41	s(331) =< s(328)
1.38/1.41	s(332) =< s(328)
1.38/1.41	s(333) =< s(330)*s(329)
1.38/1.41	s(334) =< s(332)*s(331)
1.38/1.41	s(335) =< s(334)*s(328)
1.38/1.41	s(336) =< s(329)
1.38/1.41	s(336) =< s(329)
1.38/1.41	s(337) =< s(329)+1
1.38/1.41	s(338) =< s(330)*s(336)
1.38/1.41	s(339) =< s(338)*s(329)
1.38/1.41	s(340) =< s(339)*s(337)
1.38/1.41	
1.38/1.41	  with precondition: [V_m>=4] 
1.38/1.41	
1.38/1.41	
1.38/1.41	Closed-form bounds of eval_abc_start(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B): 
1.38/1.41	-------------------------------------
1.38/1.41	* Chain [60] with precondition: [] 
1.38/1.41	    - Upper bound: 0 
1.38/1.41	    - Complexity: constant 
1.38/1.41	* Chain [59] with precondition: [V_m=1] 
1.38/1.41	    - Upper bound: 6 
1.38/1.41	    - Complexity: constant 
1.38/1.41	* Chain [58] with precondition: [0>=V_m] 
1.38/1.41	    - Upper bound: 0 
1.38/1.41	    - Complexity: constant 
1.38/1.41	* Chain [57] with precondition: [V_m>=1] 
1.38/1.41	    - Upper bound: 0 
1.38/1.41	    - Complexity: constant 
1.38/1.41	* Chain [56] with precondition: [V_m>=2] 
1.38/1.41	    - Upper bound: 10*V_m+4+6*V_m*V_m+10*V_m*V_m*V_m+5*V_m*V_m*V_m*V_m+(V_m+1)*(2*V_m)+(V_m+1)*((V_m+1)*(2*V_m))+(V_m+1)*((V_m+1)*((V_m+1)*V_m))+(2*V_m+2) 
1.38/1.41	    - Complexity: n^4 
1.38/1.41	* Chain [55] with precondition: [V_m>=3] 
1.38/1.41	    - Upper bound: 7*V_m*V_m+9*V_m+4*V_m*V_m*V_m+2*V_m*V_m*V_m*V_m+(V_m+1)*(2*V_m*V_m)+(V_m+1)*V_m+(V_m+1)*((V_m+1)*V_m)+(2*V_m+2) 
1.38/1.41	    - Complexity: n^4 
1.38/1.41	* Chain [54] with precondition: [V_m>=4] 
1.38/1.41	    - Upper bound: 5*V_m*V_m+7*V_m+4*V_m*V_m*V_m+2*V_m*V_m*V_m*V_m+(V_m+1)*(V_m*V_m) 
1.38/1.41	    - Complexity: n^4 
1.38/1.41	
1.38/1.41	### Maximum cost of eval_abc_start(V_2,V_6,V_7,V_i_0,V_i_0_sink,V_j_0,V_l_0,V_m,B): max([6,nat(V_m)*5*nat(V_m)+nat(V_m)*7+nat(V_m)*4*nat(V_m)*nat(V_m)+nat(V_m)*2*nat(V_m)*nat(V_m)*nat(V_m)+max([nat(V_m)*nat(V_m)*nat(V_m+1),nat(V_m)*nat(V_m)+nat(V_m)*2+nat(V_m+1)*nat(V_m)+nat(V_m+1)*nat(V_m)*nat(V_m+1)+nat(V_m+1)*2+max([nat(V_m)*2*nat(V_m)*nat(V_m+1)+nat(V_m)*nat(V_m),nat(V_m)+4+nat(V_m)*6*nat(V_m)*nat(V_m)+nat(V_m)*3*nat(V_m)*nat(V_m)*nat(V_m)+nat(V_m+1)*nat(V_m)+nat(V_m+1)*nat(V_m)*nat(V_m+1)+nat(V_m+1)*nat(V_m)*nat(V_m+1)*nat(V_m+1)])])]) 
1.38/1.41	Asymptotic class: n^4 
1.38/1.41	* Total analysis performed in 1254 ms.
1.38/1.41	
1.40/1.49	EOF