0.03/0.24	WORST_CASE(?,O(1))  
0.03/0.24	
0.03/0.24	Preprocessing Cost Relations
0.03/0.24	=====================================
0.03/0.24	
0.03/0.24	#### Computed strongly connected components 
0.03/0.24	0. recursive  : [f5/12]
0.03/0.24	1. non_recursive  : [exit_location/1]
0.03/0.24	2. non_recursive  : [f10/7]
0.03/0.24	3. non_recursive  : [f11/7]
0.03/0.24	4. non_recursive  : [f5_loop_cont/8]
0.03/0.24	5. non_recursive  : [f12/7]
0.03/0.24	
0.03/0.24	#### Obtained direct recursion through partial evaluation 
0.03/0.24	0. SCC is partially evaluated into f5/12
0.03/0.24	1. SCC is completely evaluated into other SCCs
0.03/0.24	2. SCC is completely evaluated into other SCCs
0.03/0.24	3. SCC is completely evaluated into other SCCs
0.03/0.24	4. SCC is partially evaluated into f5_loop_cont/8
0.03/0.24	5. SCC is partially evaluated into f12/7
0.03/0.24	
0.03/0.24	Control-Flow Refinement of Cost Relations
0.03/0.24	=====================================
0.03/0.24	
0.03/0.24	### Specialization of cost equations f5/12 
0.03/0.24	* CE 6 is refined into CE [10] 
0.03/0.24	* CE 3 is refined into CE [11] 
0.03/0.24	* CE 4 is refined into CE [12] 
0.03/0.24	* CE 2 is refined into CE [13] 
0.03/0.24	* CE 5 is refined into CE [14] 
0.03/0.24	
0.03/0.24	
0.03/0.24	### Cost equations --> "Loop" of f5/12 
0.03/0.24	* CEs [14] --> Loop 10 
0.03/0.24	* CEs [10] --> Loop 11 
0.03/0.24	* CEs [11] --> Loop 12 
0.03/0.24	* CEs [12] --> Loop 13 
0.03/0.24	* CEs [13] --> Loop 14 
0.03/0.24	
0.03/0.24	### Ranking functions of CR f5(A,B,C,D,E,F,I,J,K,L,M,N) 
0.03/0.24	* RF of phase [10]: [-B+4]
0.03/0.24	
0.03/0.24	#### Partial ranking functions of CR f5(A,B,C,D,E,F,I,J,K,L,M,N) 
0.03/0.24	* Partial RF of phase [10]:
0.03/0.24	  - RF of loop [10:1]:
0.03/0.24	    -B+4
0.03/0.24	
0.03/0.24	
0.03/0.24	### Specialization of cost equations f5_loop_cont/8 
0.03/0.24	* CE 9 is refined into CE [15] 
0.03/0.24	* CE 8 is refined into CE [16] 
0.03/0.24	* CE 7 is refined into CE [17] 
0.03/0.24	
0.03/0.24	
0.03/0.24	### Cost equations --> "Loop" of f5_loop_cont/8 
0.03/0.24	* CEs [15] --> Loop 15 
0.03/0.24	* CEs [16] --> Loop 16 
0.03/0.24	* CEs [17] --> Loop 17 
0.03/0.24	
0.03/0.24	### Ranking functions of CR f5_loop_cont(A,B,C,D,E,F,G,H) 
0.03/0.24	
0.03/0.24	#### Partial ranking functions of CR f5_loop_cont(A,B,C,D,E,F,G,H) 
0.03/0.24	
0.03/0.24	
0.03/0.24	### Specialization of cost equations f12/7 
0.03/0.24	* CE 1 is refined into CE [18,19,20,21,22] 
0.03/0.24	
0.03/0.24	
0.03/0.24	### Cost equations --> "Loop" of f12/7 
0.03/0.24	* CEs [18,19,20,21,22] --> Loop 18 
0.03/0.24	
0.03/0.24	### Ranking functions of CR f12(A,B,C,D,E,F,I) 
0.03/0.24	
0.03/0.24	#### Partial ranking functions of CR f12(A,B,C,D,E,F,I) 
0.03/0.24	
0.03/0.24	
0.03/0.24	Computing Bounds
0.03/0.24	=====================================
0.03/0.24	
0.03/0.24	#### Cost of chains of f5(A,B,C,D,E,F,I,J,K,L,M,N):
0.03/0.24	* Chain [[10],14]: 1*it(10)+0
0.03/0.24	  Such that:it(10) =< -B+4
0.03/0.24	
0.03/0.24	  with precondition: [A=4,C=0,I=2,J=4,K=0,L=0,M=0,N=0,3>=B,B>=0] 
0.03/0.24	
0.03/0.24	* Chain [[10],13]: 1*it(10)+0
0.03/0.24	  Such that:it(10) =< -B+J
0.03/0.24	
0.03/0.24	  with precondition: [A=4,C=0,I=3,K=L,K=M,K=N,4>=J,0>=K+1,B>=0,J>=B+1] 
0.03/0.24	
0.03/0.24	* Chain [[10],12]: 1*it(10)+0
0.03/0.24	  Such that:it(10) =< -B+J
0.03/0.24	
0.03/0.24	  with precondition: [A=4,C=0,I=3,K=L,K=M,K=N,4>=J,B>=0,K>=1,J>=B+1] 
0.03/0.24	
0.03/0.24	* Chain [[10],11]: 1*it(10)+0
0.03/0.24	  Such that:it(10) =< -B+4
0.03/0.24	
0.03/0.24	  with precondition: [A=4,C=0,I=4,3>=B,B>=0] 
0.03/0.24	
0.03/0.24	* Chain [11]: 0
0.03/0.24	  with precondition: [A=4,I=4,B>=0] 
0.03/0.24	
0.03/0.24	
0.03/0.24	#### Cost of chains of f5_loop_cont(A,B,C,D,E,F,G,H):
0.03/0.24	* Chain [17]: 0
0.03/0.24	  with precondition: [A=2,B=4] 
0.03/0.24	
0.03/0.24	* Chain [16]: 0
0.03/0.24	  with precondition: [A=3,B=4] 
0.03/0.24	
0.03/0.24	* Chain [15]: 0
0.03/0.24	  with precondition: [A=4,B=4] 
0.03/0.24	
0.03/0.24	
0.03/0.24	#### Cost of chains of f12(A,B,C,D,E,F,I):
0.03/0.24	* Chain [18]: 16
0.03/0.24	  with precondition: [] 
0.03/0.24	
0.03/0.24	
0.03/0.24	Closed-form bounds of f12(A,B,C,D,E,F,I): 
0.03/0.24	-------------------------------------
0.03/0.24	* Chain [18] with precondition: [] 
0.03/0.24	    - Upper bound: 16 
0.03/0.24	    - Complexity: constant 
0.03/0.24	
0.03/0.24	### Maximum cost of f12(A,B,C,D,E,F,I): 16 
0.03/0.24	Asymptotic class: constant 
0.03/0.24	* Total analysis performed in 174 ms.
0.03/0.24	
0.03/0.34	EOF