0.05/0.14	WORST_CASE(?,O(1))  
0.05/0.14	
0.05/0.14	Preprocessing Cost Relations
0.05/0.14	=====================================
0.05/0.14	
0.05/0.14	#### Computed strongly connected components 
0.05/0.14	0. recursive  : [eval_foo_bb1_in/3,eval_foo_bb2_in/3]
0.05/0.14	1. non_recursive  : [eval_foo_stop/1]
0.05/0.14	2. non_recursive  : [eval_foo_bb3_in/1]
0.05/0.14	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.05/0.14	4. non_recursive  : [eval_foo_bb0_in/1]
0.05/0.14	5. non_recursive  : [eval_foo_start/3]
0.05/0.14	
0.05/0.14	#### Obtained direct recursion through partial evaluation 
0.05/0.14	0. SCC is partially evaluated into eval_foo_bb1_in/3
0.05/0.14	1. SCC is completely evaluated into other SCCs
0.05/0.14	2. SCC is completely evaluated into other SCCs
0.05/0.14	3. SCC is completely evaluated into other SCCs
0.05/0.14	4. SCC is partially evaluated into eval_foo_bb0_in/1
0.05/0.14	5. SCC is partially evaluated into eval_foo_start/3
0.05/0.14	
0.05/0.14	Control-Flow Refinement of Cost Relations
0.05/0.14	=====================================
0.05/0.14	
0.05/0.14	### Specialization of cost equations eval_foo_bb1_in/3 
0.05/0.14	* CE 5 is refined into CE [6] 
0.05/0.14	* CE 3 is refined into CE [7] 
0.05/0.14	* CE 4 is refined into CE [8] 
0.05/0.14	
0.05/0.14	
0.05/0.14	### Cost equations --> "Loop" of eval_foo_bb1_in/3 
0.05/0.14	* CEs [7] --> Loop 6 
0.05/0.14	* CEs [8] --> Loop 7 
0.05/0.14	* CEs [6] --> Loop 8 
0.05/0.14	
0.05/0.14	### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
0.05/0.14	* RF of phase [6]: [V__01+1]
0.05/0.14	* RF of phase [7]: [-V__0+51,-V__01+51]
0.05/0.14	
0.05/0.14	#### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
0.05/0.14	* Partial RF of phase [6]:
0.05/0.14	  - RF of loop [6:1]:
0.05/0.14	    V__01+1
0.05/0.14	* Partial RF of phase [7]:
0.05/0.14	  - RF of loop [7:1]:
0.05/0.14	    -V__0+51
0.05/0.14	    -V__01+51
0.05/0.14	
0.05/0.14	
0.05/0.14	### Specialization of cost equations eval_foo_bb0_in/1 
0.05/0.14	* CE 2 is refined into CE [9] 
0.05/0.14	
0.05/0.14	
0.05/0.14	### Cost equations --> "Loop" of eval_foo_bb0_in/1 
0.05/0.14	* CEs [9] --> Loop 9 
0.05/0.14	
0.05/0.14	### Ranking functions of CR eval_foo_bb0_in(B) 
0.05/0.14	
0.05/0.14	#### Partial ranking functions of CR eval_foo_bb0_in(B) 
0.05/0.14	
0.05/0.14	
0.05/0.14	### Specialization of cost equations eval_foo_start/3 
0.05/0.14	* CE 1 is refined into CE [10] 
0.05/0.14	
0.05/0.14	
0.05/0.14	### Cost equations --> "Loop" of eval_foo_start/3 
0.05/0.14	* CEs [10] --> Loop 10 
0.05/0.14	
0.05/0.14	### Ranking functions of CR eval_foo_start(V_x,V_y,B) 
0.05/0.14	
0.05/0.14	#### Partial ranking functions of CR eval_foo_start(V_x,V_y,B) 
0.05/0.14	
0.05/0.14	
0.05/0.14	Computing Bounds
0.05/0.14	=====================================
0.05/0.14	
0.05/0.14	#### Cost of chains of eval_foo_bb1_in(V__01,V__0,B):
0.05/0.14	* Chain [[7],[6],8]: 1*it(6)+1*it(7)+0
0.05/0.14	  Such that:it(6) =< 52
0.05/0.14	it(7) =< -V__01+51
0.05/0.14	
0.05/0.14	  with precondition: [B=2,V__01=V__0,50>=V__01,V__01>=0] 
0.05/0.14	
0.05/0.14	
0.05/0.14	#### Cost of chains of eval_foo_bb0_in(B):
0.05/0.14	* Chain [9]: 1*s(1)+1*s(2)+0
0.05/0.14	  Such that:s(2) =< 51
0.05/0.14	s(1) =< 52
0.05/0.14	
0.05/0.14	  with precondition: [] 
0.05/0.14	
0.05/0.14	
0.05/0.14	#### Cost of chains of eval_foo_start(V_x,V_y,B):
0.05/0.14	* Chain [10]: 1*s(3)+1*s(4)+0
0.05/0.14	  Such that:s(3) =< 51
0.05/0.14	s(4) =< 52
0.05/0.14	
0.05/0.14	  with precondition: [] 
0.05/0.14	
0.05/0.14	
0.05/0.14	Closed-form bounds of eval_foo_start(V_x,V_y,B): 
0.05/0.14	-------------------------------------
0.05/0.14	* Chain [10] with precondition: [] 
0.05/0.14	    - Upper bound: 103 
0.05/0.14	    - Complexity: constant 
0.05/0.14	
0.05/0.14	### Maximum cost of eval_foo_start(V_x,V_y,B): 103 
0.05/0.14	Asymptotic class: constant 
0.05/0.14	* Total analysis performed in 69 ms.
0.05/0.14	
0.05/0.24	EOF