0.05/0.13	WORST_CASE(?,O(1))  
0.05/0.13	
0.05/0.13	Preprocessing Cost Relations
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	#### Computed strongly connected components 
0.05/0.13	0. recursive  : [eval_foo_bb1_in/3,eval_foo_bb2_in/3]
0.05/0.13	1. recursive  : [eval_foo_bb3_in/2,eval_foo_bb4_in/2]
0.05/0.13	2. non_recursive  : [eval_foo_stop/1]
0.05/0.13	3. non_recursive  : [eval_foo_bb5_in/1]
0.05/0.13	4. non_recursive  : [eval_foo_bb3_in_loop_cont/2]
0.05/0.13	5. non_recursive  : [eval_foo_bb1_in_loop_cont/3]
0.05/0.13	6. non_recursive  : [eval_foo_bb0_in/1]
0.05/0.13	7. non_recursive  : [eval_foo_start/4]
0.05/0.13	
0.05/0.13	#### Obtained direct recursion through partial evaluation 
0.05/0.13	0. SCC is partially evaluated into eval_foo_bb1_in/3
0.05/0.13	1. SCC is partially evaluated into eval_foo_bb3_in/2
0.05/0.13	2. SCC is completely evaluated into other SCCs
0.05/0.13	3. SCC is completely evaluated into other SCCs
0.05/0.13	4. SCC is completely evaluated into other SCCs
0.05/0.13	5. SCC is partially evaluated into eval_foo_bb1_in_loop_cont/3
0.05/0.13	6. SCC is partially evaluated into eval_foo_bb0_in/1
0.05/0.13	7. SCC is partially evaluated into eval_foo_start/4
0.05/0.13	
0.05/0.13	Control-Flow Refinement of Cost Relations
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb1_in/3 
0.05/0.13	* CE 4 is refined into CE [8] 
0.05/0.13	* CE 3 is refined into CE [9] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb1_in/3 
0.05/0.13	* CEs [9] --> Loop 8 
0.05/0.13	* CEs [8] --> Loop 9 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb1_in(V__0,B,C) 
0.05/0.13	* RF of phase [8]: [-V__0+100]
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb1_in(V__0,B,C) 
0.05/0.13	* Partial RF of phase [8]:
0.05/0.13	  - RF of loop [8:1]:
0.05/0.13	    -V__0+100
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb3_in/2 
0.05/0.13	* CE 7 is refined into CE [10] 
0.05/0.13	* CE 6 is refined into CE [11] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb3_in/2 
0.05/0.13	* CEs [11] --> Loop 10 
0.05/0.13	* CEs [10] --> Loop 11 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb3_in(V__01,B) 
0.05/0.13	* RF of phase [10]: [-V__01/3+7]
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb3_in(V__01,B) 
0.05/0.13	* Partial RF of phase [10]:
0.05/0.13	  - RF of loop [10:1]:
0.05/0.13	    -V__01/3+7
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb1_in_loop_cont/3 
0.05/0.13	* CE 5 is refined into CE [12,13] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb1_in_loop_cont/3 
0.05/0.13	* CEs [13] --> Loop 12 
0.05/0.13	* CEs [12] --> Loop 13 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb1_in_loop_cont(A,B,C) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb1_in_loop_cont(A,B,C) 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_bb0_in/1 
0.05/0.13	* CE 2 is refined into CE [14] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_bb0_in/1 
0.05/0.13	* CEs [14] --> Loop 14 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_bb0_in(B) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_bb0_in(B) 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_foo_start/4 
0.05/0.13	* CE 1 is refined into CE [15] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_foo_start/4 
0.05/0.13	* CEs [15] --> Loop 15 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_foo_start(V_i,V_j,V_c,B) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_foo_start(V_i,V_j,V_c,B) 
0.05/0.13	
0.05/0.13	
0.05/0.13	Computing Bounds
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb1_in(V__0,B,C):
0.05/0.13	* Chain [[8],9]: 1*it(8)+0
0.05/0.13	  Such that:it(8) =< -V__0+100
0.05/0.13	
0.05/0.13	  with precondition: [B=3,C=5,99>=V__0,V__0>=0] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb3_in(V__01,B):
0.05/0.13	* Chain [[10],11]: 1*it(10)+0
0.05/0.13	  Such that:it(10) =< -V__01/3+7
0.05/0.13	
0.05/0.13	  with precondition: [B=2,20>=V__01] 
0.05/0.13	
0.05/0.13	* Chain [11]: 0
0.05/0.13	  with precondition: [B=2,V__01>=21] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb1_in_loop_cont(A,B,C):
0.05/0.13	* Chain [13]: 1*s(1)+0
0.05/0.13	  Such that:s(1) =< -B/3+7
0.05/0.13	
0.05/0.13	  with precondition: [A=3,20>=B] 
0.05/0.13	
0.05/0.13	* Chain [12]: 0
0.05/0.13	  with precondition: [A=3,B>=21] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_bb0_in(B):
0.05/0.13	* Chain [14]: 1*s(2)+1*s(3)+0
0.05/0.13	  Such that:s(2) =< 100
0.05/0.13	s(3) =< 16/3
0.05/0.13	
0.05/0.13	  with precondition: [] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_foo_start(V_i,V_j,V_c,B):
0.05/0.13	* Chain [15]: 1*s(4)+1*s(5)+0
0.05/0.13	  Such that:s(4) =< 100
0.05/0.13	s(5) =< 16/3
0.05/0.13	
0.05/0.13	  with precondition: [] 
0.05/0.13	
0.05/0.13	
0.05/0.13	Closed-form bounds of eval_foo_start(V_i,V_j,V_c,B): 
0.05/0.13	-------------------------------------
0.05/0.13	* Chain [15] with precondition: [] 
0.05/0.13	    - Upper bound: 316/3 
0.05/0.13	    - Complexity: constant 
0.05/0.13	
0.05/0.13	### Maximum cost of eval_foo_start(V_i,V_j,V_c,B): 316/3 
0.05/0.13	Asymptotic class: constant 
0.05/0.13	* Total analysis performed in 60 ms.
0.05/0.13	
0.05/0.23	EOF