0.05/0.20	MAYBE
0.05/0.20	
0.05/0.20	Preprocessing Cost Relations
0.05/0.20	=====================================
0.05/0.20	
0.05/0.20	#### Computed strongly connected components 
0.05/0.20	0. recursive  : [eval_foo_2/4,eval_foo_3/5,eval_foo_bb1_in/3,eval_foo_bb2_in/3,eval_foo_bb3_in/4,eval_foo_bb4_in/4]
0.05/0.20	1. non_recursive  : [eval_foo_stop/1]
0.05/0.20	2. non_recursive  : [eval_foo_bb5_in/1]
0.05/0.20	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.05/0.20	4. non_recursive  : [eval_foo_bb0_in/3]
0.05/0.20	5. non_recursive  : [eval_foo_start/3]
0.05/0.20	
0.05/0.20	#### Obtained direct recursion through partial evaluation 
0.05/0.20	0. SCC is partially evaluated into eval_foo_bb1_in/3
0.05/0.20	1. SCC is completely evaluated into other SCCs
0.05/0.20	2. SCC is completely evaluated into other SCCs
0.05/0.20	3. SCC is completely evaluated into other SCCs
0.05/0.20	4. SCC is partially evaluated into eval_foo_bb0_in/3
0.05/0.20	5. SCC is partially evaluated into eval_foo_start/3
0.05/0.20	
0.05/0.20	Control-Flow Refinement of Cost Relations
0.05/0.20	=====================================
0.05/0.20	
0.05/0.20	### Specialization of cost equations eval_foo_bb1_in/3 
0.05/0.20	* CE 5 is refined into CE [6] 
0.05/0.20	* CE 3 is refined into CE [7] 
0.05/0.20	* CE 4 is refined into CE [8] 
0.05/0.20	
0.05/0.20	
0.05/0.20	### Cost equations --> "Loop" of eval_foo_bb1_in/3 
0.05/0.20	* CEs [7] --> Loop 6 
0.05/0.20	* CEs [8] --> Loop 7 
0.05/0.20	* CEs [6] --> Loop 8 
0.05/0.20	
0.05/0.20	### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
0.05/0.20	* RF of phase [6]: [V__0]
0.05/0.20	* RF of phase [7]: [V__01+1]
0.05/0.20	
0.05/0.20	#### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
0.05/0.20	* Partial RF of phase [6]:
0.05/0.20	  - RF of loop [6:1]:
0.05/0.20	    V__0
0.05/0.20	* Partial RF of phase [7]:
0.05/0.20	  - RF of loop [7:1]:
0.05/0.20	    V__01+1
0.05/0.20	
0.05/0.20	
0.05/0.20	### Specialization of cost equations eval_foo_bb0_in/3 
0.05/0.20	* CE 2 is refined into CE [9,10,11] 
0.05/0.20	
0.05/0.20	
0.05/0.20	### Cost equations --> "Loop" of eval_foo_bb0_in/3 
0.05/0.20	* CEs [11] --> Loop 9 
0.05/0.20	* CEs [9] --> Loop 10 
0.05/0.20	* CEs [10] --> Loop 11 
0.05/0.20	
0.05/0.20	### Ranking functions of CR eval_foo_bb0_in(V_y,V_z,B) 
0.05/0.20	
0.05/0.20	#### Partial ranking functions of CR eval_foo_bb0_in(V_y,V_z,B) 
0.05/0.20	
0.05/0.20	
0.05/0.20	### Specialization of cost equations eval_foo_start/3 
0.05/0.20	* CE 1 is refined into CE [12,13,14] 
0.05/0.20	
0.05/0.20	
0.05/0.20	### Cost equations --> "Loop" of eval_foo_start/3 
0.05/0.20	* CEs [14] --> Loop 12 
0.05/0.20	* CEs [13] --> Loop 13 
0.05/0.20	* CEs [12] --> Loop 14 
0.05/0.20	
0.05/0.20	### Ranking functions of CR eval_foo_start(V_y,V_z,B) 
0.05/0.20	
0.05/0.20	#### Partial ranking functions of CR eval_foo_start(V_y,V_z,B) 
0.05/0.20	
0.05/0.20	
0.05/0.20	Computing Bounds
0.05/0.20	=====================================
0.05/0.20	
0.05/0.20	#### Cost of chains of eval_foo_bb1_in(V__01,V__0,B):
0.05/0.20	* Chain [[7],8]: 1*it(7)+0
0.05/0.20	  Such that:it(7) =< V__01+1
0.05/0.20	
0.05/0.20	  with precondition: [B=2,0>=V__0,V__01>=0] 
0.05/0.20	
0.05/0.20	* Chain [[6],[7],8]: 1*it(6)+1*s(1)+0
0.05/0.20	  Such that:it(6) =< V__0
0.05/0.20	
0.05/0.20	  with precondition: [B=2,V__01>=0,V__0>=1] 
0.05/0.20	
0.05/0.20	* Chain [[6],8]: 1*it(6)+0
0.05/0.20	  Such that:it(6) =< V__0
0.05/0.20	
0.05/0.20	  with precondition: [B=2,V__01>=0,V__0>=1] 
0.05/0.20	
0.05/0.20	* Chain [8]: 0
0.05/0.20	  with precondition: [B=2,0>=V__01+1] 
0.05/0.20	
0.05/0.20	
0.05/0.20	#### Cost of chains of eval_foo_bb0_in(V_y,V_z,B):
0.05/0.20	* Chain [11]: 1*s(5)+0
0.05/0.20	  Such that:s(5) =< V_z+1
0.05/0.20	
0.05/0.20	  with precondition: [0>=V_y,V_z>=0] 
0.05/0.20	
0.05/0.20	* Chain [10]: 0
0.05/0.20	  with precondition: [0>=V_z+1] 
0.05/0.20	
0.05/0.20	* Chain [9]: 2*s(7)+1*s(8)+0
0.05/0.20	  Such that:s(6) =< V_y
0.05/0.20	s(7) =< s(6)
0.05/0.20	
0.05/0.20	  with precondition: [V_y>=1,V_z>=0] 
0.05/0.20	
0.05/0.20	
0.05/0.20	#### Cost of chains of eval_foo_start(V_y,V_z,B):
0.05/0.20	* Chain [14]: 1*s(9)+0
0.05/0.20	  Such that:s(9) =< V_z+1
0.05/0.20	
0.05/0.20	  with precondition: [0>=V_y,V_z>=0] 
0.05/0.20	
0.05/0.20	* Chain [13]: 0
0.05/0.20	  with precondition: [0>=V_z+1] 
0.05/0.20	
0.05/0.20	* Chain [12]: 2*s(11)+1*s(12)+0
0.05/0.20	  Such that:s(10) =< V_y
0.05/0.20	s(11) =< s(10)
0.05/0.20	
0.05/0.20	  with precondition: [V_y>=1,V_z>=0] 
0.05/0.20	
0.05/0.20	
0.05/0.20	Closed-form bounds of eval_foo_start(V_y,V_z,B): 
0.05/0.20	-------------------------------------
0.05/0.20	* Chain [14] with precondition: [0>=V_y,V_z>=0] 
0.05/0.20	    - Upper bound: V_z+1 
0.05/0.20	    - Complexity: n 
0.05/0.20	* Chain [13] with precondition: [0>=V_z+1] 
0.05/0.20	    - Upper bound: 0 
0.05/0.20	    - Complexity: constant 
0.05/0.20	* Chain [12] with precondition: [V_y>=1,V_z>=0] 
0.05/0.20	    - Upper bound: inf 
0.05/0.20	    - Complexity: infinity 
0.05/0.20	
0.05/0.20	### Maximum cost of eval_foo_start(V_y,V_z,B): inf 
0.05/0.20	Asymptotic class: infinity 
0.05/0.20	* Total analysis performed in 94 ms.
0.05/0.20	
0.05/0.30	EOF