0.03/0.27	WORST_CASE(?,O(n^1))  
0.03/0.27	
0.03/0.27	Preprocessing Cost Relations
0.03/0.27	=====================================
0.03/0.27	
0.03/0.27	#### Computed strongly connected components 
0.03/0.27	0. recursive  : [evalEx7bb3in/5,evalEx7bbin/5]
0.03/0.27	1. non_recursive  : [evalEx7stop/4]
0.03/0.27	2. non_recursive  : [evalEx7returnin/4]
0.03/0.27	3. non_recursive  : [exit_location/1]
0.03/0.27	4. non_recursive  : [evalEx7bb3in_loop_cont/5]
0.03/0.27	5. non_recursive  : [evalEx7entryin/4]
0.03/0.27	6. non_recursive  : [evalEx7start/4]
0.03/0.27	
0.03/0.27	#### Obtained direct recursion through partial evaluation 
0.03/0.27	0. SCC is partially evaluated into evalEx7bb3in/5
0.03/0.27	1. SCC is completely evaluated into other SCCs
0.03/0.27	2. SCC is completely evaluated into other SCCs
0.03/0.27	3. SCC is completely evaluated into other SCCs
0.03/0.27	4. SCC is partially evaluated into evalEx7bb3in_loop_cont/5
0.03/0.27	5. SCC is partially evaluated into evalEx7entryin/4
0.03/0.27	6. SCC is partially evaluated into evalEx7start/4
0.03/0.27	
0.03/0.27	Control-Flow Refinement of Cost Relations
0.03/0.27	=====================================
0.03/0.27	
0.03/0.27	### Specialization of cost equations evalEx7bb3in/5 
0.03/0.27	* CE 8 is refined into CE [11] 
0.03/0.27	* CE 7 is refined into CE [12] 
0.03/0.27	* CE 4 is refined into CE [13] 
0.03/0.27	* CE 3 is refined into CE [14] 
0.03/0.27	* CE 6 is discarded (unfeasible) 
0.03/0.27	* CE 5 is refined into CE [15] 
0.03/0.27	
0.03/0.27	
0.03/0.27	### Cost equations --> "Loop" of evalEx7bb3in/5 
0.03/0.27	* CEs [14] --> Loop 11 
0.03/0.27	* CEs [13] --> Loop 12 
0.03/0.27	* CEs [15] --> Loop 13 
0.03/0.27	* CEs [11] --> Loop 14 
0.03/0.27	* CEs [12] --> Loop 15 
0.03/0.27	
0.03/0.27	### Ranking functions of CR evalEx7bb3in(A,B,C,D,E) 
0.03/0.27	* RF of phase [11]: [B-C+1]
0.03/0.27	* RF of phase [12]: [A-C,B-C-1]
0.03/0.27	
0.03/0.27	#### Partial ranking functions of CR evalEx7bb3in(A,B,C,D,E) 
0.03/0.27	* Partial RF of phase [11]:
0.03/0.27	  - RF of loop [11:1]:
0.03/0.27	    B-C+1
0.03/0.27	* Partial RF of phase [12]:
0.03/0.27	  - RF of loop [12:1]:
0.03/0.27	    A-C
0.03/0.27	    B-C-1
0.03/0.27	
0.03/0.27	
0.03/0.27	### Specialization of cost equations evalEx7bb3in_loop_cont/5 
0.03/0.27	* CE 10 is refined into CE [16] 
0.03/0.27	* CE 9 is refined into CE [17] 
0.03/0.27	
0.03/0.27	
0.03/0.27	### Cost equations --> "Loop" of evalEx7bb3in_loop_cont/5 
0.03/0.27	* CEs [16] --> Loop 16 
0.03/0.27	* CEs [17] --> Loop 17 
0.03/0.27	
0.03/0.27	### Ranking functions of CR evalEx7bb3in_loop_cont(A,B,C,D,E) 
0.03/0.27	
0.03/0.27	#### Partial ranking functions of CR evalEx7bb3in_loop_cont(A,B,C,D,E) 
0.03/0.27	
0.03/0.27	
0.03/0.27	### Specialization of cost equations evalEx7entryin/4 
0.03/0.27	* CE 2 is refined into CE [18,19,20] 
0.03/0.27	
0.03/0.27	
0.03/0.27	### Cost equations --> "Loop" of evalEx7entryin/4 
0.03/0.27	* CEs [18,19,20] --> Loop 18 
0.03/0.27	
0.03/0.27	### Ranking functions of CR evalEx7entryin(A,B,C,D) 
0.03/0.27	
0.03/0.27	#### Partial ranking functions of CR evalEx7entryin(A,B,C,D) 
0.03/0.27	
0.03/0.27	
0.03/0.27	### Specialization of cost equations evalEx7start/4 
0.03/0.27	* CE 1 is refined into CE [21] 
0.03/0.27	
0.03/0.27	
0.03/0.27	### Cost equations --> "Loop" of evalEx7start/4 
0.03/0.27	* CEs [21] --> Loop 19 
0.03/0.27	
0.03/0.27	### Ranking functions of CR evalEx7start(A,B,C,D) 
0.03/0.27	
0.03/0.27	#### Partial ranking functions of CR evalEx7start(A,B,C,D) 
0.03/0.27	
0.03/0.27	
0.03/0.27	Computing Bounds
0.03/0.27	=====================================
0.03/0.27	
0.03/0.27	#### Cost of chains of evalEx7bb3in(A,B,C,D,E):
0.03/0.27	* Chain [[11],14]: 1*it(11)+0
0.03/0.27	  Such that:it(11) =< B-C+1
0.03/0.27	
0.03/0.27	  with precondition: [D=3,A>=1,C>=A+1,B>=C] 
0.03/0.27	
0.03/0.27	* Chain [[11],13,[12],15]: 1*it(11)+1*it(12)+1
0.03/0.27	  Such that:it(11) =< B-C+1
0.03/0.27	it(12) =< E
0.03/0.27	
0.03/0.27	  with precondition: [D=2,A=E,A>=1,C>=A+1,B>=C] 
0.03/0.27	
0.03/0.27	* Chain [[11],13,[12],14]: 1*it(11)+1*it(12)+1
0.03/0.27	  Such that:it(12) =< A
0.03/0.27	it(11) =< B-C+1
0.03/0.27	
0.03/0.27	  with precondition: [D=3,A>=1,C>=A+1,B>=C] 
0.03/0.27	
0.03/0.27	* Chain [[11],13,14]: 1*it(11)+1
0.03/0.27	  Such that:it(11) =< B-C+1
0.03/0.27	
0.03/0.27	  with precondition: [D=3,A>=1,C>=A+1,B>=C] 
0.03/0.27	
0.03/0.27	* Chain [14]: 0
0.03/0.27	  with precondition: [D=3,A>=1,C>=0,B>=A+1] 
0.03/0.27	
0.03/0.27	
0.03/0.27	#### Cost of chains of evalEx7bb3in_loop_cont(A,B,C,D,E):
0.03/0.27	* Chain [17]: 0
0.03/0.27	  with precondition: [A=2,B>=1,C>=B+1] 
0.03/0.27	
0.03/0.27	* Chain [16]: 0
0.03/0.27	  with precondition: [A=3,B>=1,C>=B+1] 
0.03/0.27	
0.03/0.27	
0.03/0.27	#### Cost of chains of evalEx7entryin(A,B,C,D):
0.03/0.27	* Chain [18]: 4*s(5)+2*s(6)+1
0.03/0.27	  Such that:aux(2) =< -A+B
0.03/0.27	aux(3) =< A
0.03/0.27	s(5) =< aux(2)
0.03/0.27	s(6) =< aux(3)
0.03/0.27	
0.03/0.27	  with precondition: [A>=1,B>=A+1] 
0.03/0.27	
0.03/0.27	
0.03/0.27	#### Cost of chains of evalEx7start(A,B,C,D):
0.03/0.27	* Chain [19]: 4*s(12)+2*s(13)+1
0.03/0.27	  Such that:s(10) =< -A+B
0.03/0.27	s(11) =< A
0.03/0.27	s(12) =< s(10)
0.03/0.27	s(13) =< s(11)
0.03/0.27	
0.03/0.27	  with precondition: [A>=1,B>=A+1] 
0.03/0.27	
0.03/0.27	
0.03/0.27	Closed-form bounds of evalEx7start(A,B,C,D): 
0.03/0.27	-------------------------------------
0.03/0.27	* Chain [19] with precondition: [A>=1,B>=A+1] 
0.03/0.27	    - Upper bound: -2*A+4*B+1 
0.03/0.27	    - Complexity: n 
0.03/0.27	
0.03/0.27	### Maximum cost of evalEx7start(A,B,C,D): -2*A+4*B+1 
0.03/0.27	Asymptotic class: n 
0.03/0.27	* Total analysis performed in 203 ms.
0.03/0.27	
0.03/0.37	EOF