0.03/0.17	WORST_CASE(?,O(1))  
0.03/0.17	
0.03/0.17	Preprocessing Cost Relations
0.03/0.17	=====================================
0.03/0.17	
0.03/0.17	#### Computed strongly connected components 
0.03/0.17	0. recursive  : [f14/5,f8/5]
0.03/0.17	1. non_recursive  : [exit_location/1]
0.03/0.17	2. recursive  : [f23/5,f28/5]
0.03/0.17	3. non_recursive  : [f38/4]
0.03/0.17	4. non_recursive  : [f23_loop_cont/5]
0.03/0.17	5. non_recursive  : [f8_loop_cont/5]
0.03/0.17	6. non_recursive  : [f0/4]
0.03/0.17	
0.03/0.17	#### Obtained direct recursion through partial evaluation 
0.03/0.17	0. SCC is partially evaluated into f8/5
0.03/0.17	1. SCC is completely evaluated into other SCCs
0.03/0.17	2. SCC is partially evaluated into f23/5
0.03/0.17	3. SCC is completely evaluated into other SCCs
0.03/0.17	4. SCC is partially evaluated into f23_loop_cont/5
0.03/0.17	5. SCC is partially evaluated into f8_loop_cont/5
0.03/0.17	6. SCC is partially evaluated into f0/4
0.03/0.17	
0.03/0.17	Control-Flow Refinement of Cost Relations
0.03/0.17	=====================================
0.03/0.17	
0.03/0.17	### Specialization of cost equations f8/5 
0.03/0.17	* CE 3 is refined into CE [12] 
0.03/0.17	* CE 4 is refined into CE [13] 
0.03/0.17	* CE 2 is refined into CE [14] 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Cost equations --> "Loop" of f8/5 
0.03/0.17	* CEs [14] --> Loop 12 
0.03/0.17	* CEs [13] --> Loop 13 
0.03/0.17	* CEs [12] --> Loop 14 
0.03/0.17	
0.03/0.17	### Ranking functions of CR f8(A,B,F,G,H) 
0.03/0.17	
0.03/0.17	#### Partial ranking functions of CR f8(A,B,F,G,H) 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Specialization of cost equations f23/5 
0.03/0.17	* CE 9 is refined into CE [15] 
0.03/0.17	* CE 8 is refined into CE [16] 
0.03/0.17	* CE 7 is refined into CE [17] 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Cost equations --> "Loop" of f23/5 
0.03/0.17	* CEs [17] --> Loop 15 
0.03/0.17	* CEs [15] --> Loop 16 
0.03/0.17	* CEs [16] --> Loop 17 
0.03/0.17	
0.03/0.17	### Ranking functions of CR f23(A,C,F,G,H) 
0.03/0.17	* RF of phase [15]: [-A+1]
0.03/0.17	
0.03/0.17	#### Partial ranking functions of CR f23(A,C,F,G,H) 
0.03/0.17	* Partial RF of phase [15]:
0.03/0.17	  - RF of loop [15:1]:
0.03/0.17	    -A+1
0.03/0.17	
0.03/0.17	
0.03/0.17	### Specialization of cost equations f23_loop_cont/5 
0.03/0.17	* CE 11 is refined into CE [18] 
0.03/0.17	* CE 10 is refined into CE [19] 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Cost equations --> "Loop" of f23_loop_cont/5 
0.03/0.17	* CEs [18] --> Loop 18 
0.03/0.17	* CEs [19] --> Loop 19 
0.03/0.17	
0.03/0.17	### Ranking functions of CR f23_loop_cont(A,B,C,D,E) 
0.03/0.17	
0.03/0.17	#### Partial ranking functions of CR f23_loop_cont(A,B,C,D,E) 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Specialization of cost equations f8_loop_cont/5 
0.03/0.17	* CE 6 is refined into CE [20,21,22,23] 
0.03/0.17	* CE 5 is refined into CE [24] 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Cost equations --> "Loop" of f8_loop_cont/5 
0.03/0.17	* CEs [21] --> Loop 20 
0.03/0.17	* CEs [20,23] --> Loop 21 
0.03/0.17	* CEs [22] --> Loop 22 
0.03/0.17	* CEs [24] --> Loop 23 
0.03/0.17	
0.03/0.17	### Ranking functions of CR f8_loop_cont(A,B,C,D,E) 
0.03/0.17	
0.03/0.17	#### Partial ranking functions of CR f8_loop_cont(A,B,C,D,E) 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Specialization of cost equations f0/4 
0.03/0.17	* CE 1 is refined into CE [25,26,27,28] 
0.03/0.17	
0.03/0.17	
0.03/0.17	### Cost equations --> "Loop" of f0/4 
0.03/0.17	* CEs [25,26,27,28] --> Loop 24 
0.03/0.17	
0.03/0.17	### Ranking functions of CR f0(A,B,C,F) 
0.03/0.17	
0.03/0.17	#### Partial ranking functions of CR f0(A,B,C,F) 
0.03/0.17	
0.03/0.17	
0.03/0.17	Computing Bounds
0.03/0.17	=====================================
0.03/0.17	
0.03/0.17	#### Cost of chains of f8(A,B,F,G,H):
0.03/0.17	* Chain [13]: 0
0.03/0.17	  with precondition: [F=3,1>=A,A>=0] 
0.03/0.17	
0.03/0.17	* Chain [12,14]: 1
0.03/0.17	  with precondition: [A=0,F=4,G=0,H=0] 
0.03/0.17	
0.03/0.17	* Chain [12,13]: 1
0.03/0.17	  with precondition: [A=0,F=3] 
0.03/0.17	
0.03/0.17	
0.03/0.17	#### Cost of chains of f23(A,C,F,G,H):
0.03/0.17	* Chain [[15],17]: 1*it(15)+0
0.03/0.17	  Such that:it(15) =< -A+1
0.03/0.17	
0.03/0.17	  with precondition: [F=2,G=1,0>=A] 
0.03/0.17	
0.03/0.17	* Chain [[15],16]: 1*it(15)+0
0.03/0.17	  Such that:it(15) =< -A+1
0.03/0.17	
0.03/0.17	  with precondition: [F=3,0>=A] 
0.03/0.17	
0.03/0.17	* Chain [17]: 0
0.03/0.17	  with precondition: [F=2,H=C,A=G,A>=1] 
0.03/0.17	
0.03/0.17	* Chain [16]: 0
0.03/0.17	  with precondition: [F=3] 
0.03/0.17	
0.03/0.17	
0.03/0.17	#### Cost of chains of f23_loop_cont(A,B,C,D,E):
0.03/0.17	* Chain [19]: 0
0.03/0.17	  with precondition: [A=2] 
0.03/0.17	
0.03/0.17	* Chain [18]: 0
0.03/0.17	  with precondition: [A=3] 
0.03/0.17	
0.03/0.17	
0.03/0.17	#### Cost of chains of f8_loop_cont(A,B,C,D,E):
0.03/0.17	* Chain [23]: 0
0.03/0.17	  with precondition: [A=3] 
0.03/0.17	
0.03/0.17	* Chain [22]: 0
0.03/0.17	  with precondition: [A=4] 
0.03/0.17	
0.03/0.17	* Chain [21]: 2*s(1)+0
0.03/0.17	  Such that:aux(1) =< -B+1
0.03/0.17	s(1) =< aux(1)
0.03/0.17	
0.03/0.17	  with precondition: [A=4,0>=B] 
0.03/0.17	
0.03/0.17	* Chain [20]: 0
0.03/0.17	  with precondition: [A=4,B>=1] 
0.03/0.17	
0.03/0.17	
0.03/0.17	#### Cost of chains of f0(A,B,C,F):
0.03/0.17	* Chain [24]: 3
0.03/0.17	  with precondition: [] 
0.03/0.17	
0.03/0.17	
0.03/0.17	Closed-form bounds of f0(A,B,C,F): 
0.03/0.17	-------------------------------------
0.03/0.17	* Chain [24] with precondition: [] 
0.03/0.17	    - Upper bound: 3 
0.03/0.17	    - Complexity: constant 
0.03/0.17	
0.03/0.17	### Maximum cost of f0(A,B,C,F): 3 
0.03/0.17	Asymptotic class: constant 
0.03/0.17	* Total analysis performed in 113 ms.
0.03/0.17	
0.03/0.28	EOF