0.03/0.10	WORST_CASE(?,O(n^1))  
0.03/0.10	
0.03/0.10	Preprocessing Cost Relations
0.03/0.10	=====================================
0.03/0.10	
0.03/0.10	#### Computed strongly connected components 
0.03/0.10	0. recursive  : [eval_foo_bb1_in/2,eval_foo_bb2_in/2]
0.03/0.10	1. non_recursive  : [eval_foo_stop/1]
0.03/0.10	2. non_recursive  : [eval_foo_bb3_in/1]
0.03/0.10	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.03/0.10	4. non_recursive  : [eval_foo_bb0_in/2]
0.03/0.10	5. non_recursive  : [eval_foo_start/2]
0.03/0.10	
0.03/0.10	#### Obtained direct recursion through partial evaluation 
0.03/0.10	0. SCC is partially evaluated into eval_foo_bb1_in/2
0.03/0.10	1. SCC is completely evaluated into other SCCs
0.03/0.10	2. SCC is completely evaluated into other SCCs
0.03/0.10	3. SCC is completely evaluated into other SCCs
0.03/0.10	4. SCC is partially evaluated into eval_foo_bb0_in/2
0.03/0.10	5. SCC is partially evaluated into eval_foo_start/2
0.03/0.10	
0.03/0.10	Control-Flow Refinement of Cost Relations
0.03/0.10	=====================================
0.03/0.10	
0.03/0.10	### Specialization of cost equations eval_foo_bb1_in/2 
0.03/0.10	* CE 4 is refined into CE [5] 
0.03/0.10	* CE 3 is refined into CE [6] 
0.03/0.10	
0.03/0.10	
0.03/0.10	### Cost equations --> "Loop" of eval_foo_bb1_in/2 
0.03/0.10	* CEs [6] --> Loop 5 
0.03/0.10	* CEs [5] --> Loop 6 
0.03/0.10	
0.03/0.10	### Ranking functions of CR eval_foo_bb1_in(V__0,B) 
0.03/0.10	* RF of phase [5]: [-V__0+2147483648]
0.03/0.10	
0.03/0.10	#### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 
0.03/0.10	* Partial RF of phase [5]:
0.03/0.10	  - RF of loop [5:1]:
0.03/0.10	    -V__0+2147483648
0.03/0.10	
0.03/0.10	
0.03/0.10	### Specialization of cost equations eval_foo_bb0_in/2 
0.03/0.10	* CE 2 is refined into CE [7,8] 
0.03/0.10	
0.03/0.10	
0.03/0.10	### Cost equations --> "Loop" of eval_foo_bb0_in/2 
0.03/0.10	* CEs [8] --> Loop 7 
0.03/0.10	* CEs [7] --> Loop 8 
0.03/0.10	
0.03/0.10	### Ranking functions of CR eval_foo_bb0_in(V_i,B) 
0.03/0.10	
0.03/0.10	#### Partial ranking functions of CR eval_foo_bb0_in(V_i,B) 
0.03/0.10	
0.03/0.10	
0.03/0.10	### Specialization of cost equations eval_foo_start/2 
0.03/0.10	* CE 1 is refined into CE [9,10] 
0.03/0.10	
0.03/0.10	
0.03/0.10	### Cost equations --> "Loop" of eval_foo_start/2 
0.03/0.10	* CEs [10] --> Loop 9 
0.03/0.10	* CEs [9] --> Loop 10 
0.03/0.10	
0.03/0.10	### Ranking functions of CR eval_foo_start(V_i,B) 
0.03/0.10	
0.03/0.10	#### Partial ranking functions of CR eval_foo_start(V_i,B) 
0.03/0.10	
0.03/0.10	
0.03/0.10	Computing Bounds
0.03/0.10	=====================================
0.03/0.10	
0.03/0.10	#### Cost of chains of eval_foo_bb1_in(V__0,B):
0.03/0.10	* Chain [[5],6]: 1*it(5)+0
0.03/0.10	  Such that:it(5) =< -V__0+2147483648
0.03/0.10	
0.03/0.10	  with precondition: [B=2,2147483647>=V__0] 
0.03/0.10	
0.03/0.10	* Chain [6]: 0
0.03/0.10	  with precondition: [B=2,V__0>=2147483648] 
0.03/0.10	
0.03/0.10	
0.03/0.10	#### Cost of chains of eval_foo_bb0_in(V_i,B):
0.03/0.10	* Chain [8]: 1*s(1)+0
0.03/0.10	  Such that:s(1) =< -V_i+2147483648
0.03/0.10	
0.03/0.10	  with precondition: [2147483647>=V_i] 
0.03/0.10	
0.03/0.10	* Chain [7]: 0
0.03/0.10	  with precondition: [V_i>=2147483648] 
0.03/0.10	
0.03/0.10	
0.03/0.10	#### Cost of chains of eval_foo_start(V_i,B):
0.03/0.10	* Chain [10]: 1*s(2)+0
0.03/0.10	  Such that:s(2) =< -V_i+2147483648
0.03/0.10	
0.03/0.10	  with precondition: [2147483647>=V_i] 
0.03/0.10	
0.03/0.10	* Chain [9]: 0
0.03/0.10	  with precondition: [V_i>=2147483648] 
0.03/0.10	
0.03/0.10	
0.03/0.10	Closed-form bounds of eval_foo_start(V_i,B): 
0.03/0.10	-------------------------------------
0.03/0.10	* Chain [10] with precondition: [2147483647>=V_i] 
0.03/0.10	    - Upper bound: -V_i+2147483648 
0.03/0.10	    - Complexity: n 
0.03/0.10	* Chain [9] with precondition: [V_i>=2147483648] 
0.03/0.10	    - Upper bound: 0 
0.03/0.10	    - Complexity: constant 
0.03/0.10	
0.03/0.10	### Maximum cost of eval_foo_start(V_i,B): nat(-V_i+2147483648) 
0.03/0.10	Asymptotic class: n 
0.03/0.10	* Total analysis performed in 32 ms.
0.03/0.10	
0.05/0.20	EOF