0.04/0.13	WORST_CASE(?,O(n^1))  
0.04/0.13	
0.04/0.13	Preprocessing Cost Relations
0.04/0.13	=====================================
0.04/0.13	
0.04/0.13	#### Computed strongly connected components 
0.04/0.13	0. recursive  : [eval_foo_bb1_in/4,eval_foo_bb2_in/4]
0.04/0.13	1. non_recursive  : [eval_foo_stop/1]
0.04/0.13	2. non_recursive  : [eval_foo_bb3_in/1]
0.04/0.13	3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
0.04/0.13	4. non_recursive  : [eval_foo_bb0_in/2]
0.04/0.13	5. non_recursive  : [eval_foo_start/4]
0.04/0.13	
0.04/0.13	#### Obtained direct recursion through partial evaluation 
0.04/0.13	0. SCC is partially evaluated into eval_foo_bb1_in/4
0.04/0.13	1. SCC is completely evaluated into other SCCs
0.04/0.13	2. SCC is completely evaluated into other SCCs
0.04/0.13	3. SCC is completely evaluated into other SCCs
0.04/0.13	4. SCC is partially evaluated into eval_foo_bb0_in/2
0.04/0.13	5. SCC is partially evaluated into eval_foo_start/4
0.04/0.13	
0.04/0.13	Control-Flow Refinement of Cost Relations
0.04/0.13	=====================================
0.04/0.13	
0.04/0.13	### Specialization of cost equations eval_foo_bb1_in/4 
0.04/0.13	* CE 4 is refined into CE [5] 
0.04/0.13	* CE 3 is refined into CE [6] 
0.04/0.13	
0.04/0.13	
0.04/0.13	### Cost equations --> "Loop" of eval_foo_bb1_in/4 
0.04/0.13	* CEs [6] --> Loop 5 
0.04/0.13	* CEs [5] --> Loop 6 
0.04/0.13	
0.04/0.13	### Ranking functions of CR eval_foo_bb1_in(V__02,V__01,V__0,B) 
0.04/0.13	* RF of phase [5]: [V__0/99+1/99,-V__01/199+2/199*V__0+101/199,-V__02/398+2/199*V__0+1/199]
0.04/0.13	
0.04/0.13	#### Partial ranking functions of CR eval_foo_bb1_in(V__02,V__01,V__0,B) 
0.04/0.13	* Partial RF of phase [5]:
0.04/0.13	  - RF of loop [5:1]:
0.04/0.13	    V__0/99+1/99
0.04/0.13	    -V__01/199+2/199*V__0+101/199
0.04/0.13	    -V__02/398+2/199*V__0+1/199
0.04/0.13	
0.04/0.13	
0.04/0.13	### Specialization of cost equations eval_foo_bb0_in/2 
0.04/0.13	* CE 2 is refined into CE [7,8] 
0.04/0.13	
0.04/0.13	
0.04/0.13	### Cost equations --> "Loop" of eval_foo_bb0_in/2 
0.04/0.13	* CEs [8] --> Loop 7 
0.04/0.13	* CEs [7] --> Loop 8 
0.04/0.13	
0.04/0.13	### Ranking functions of CR eval_foo_bb0_in(V_x,B) 
0.04/0.13	
0.04/0.13	#### Partial ranking functions of CR eval_foo_bb0_in(V_x,B) 
0.04/0.13	
0.04/0.13	
0.04/0.13	### Specialization of cost equations eval_foo_start/4 
0.04/0.13	* CE 1 is refined into CE [9,10] 
0.04/0.13	
0.04/0.13	
0.04/0.13	### Cost equations --> "Loop" of eval_foo_start/4 
0.04/0.13	* CEs [10] --> Loop 9 
0.04/0.13	* CEs [9] --> Loop 10 
0.04/0.13	
0.04/0.13	### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 
0.04/0.13	
0.04/0.13	#### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 
0.04/0.13	
0.04/0.13	
0.04/0.13	Computing Bounds
0.04/0.13	=====================================
0.04/0.13	
0.04/0.13	#### Cost of chains of eval_foo_bb1_in(V__02,V__01,V__0,B):
0.04/0.13	* Chain [[5],6]: 1*it(5)+0
0.04/0.13	  Such that:it(5) =< -V__01/199+2/199*V__0+201/398
0.04/0.13	
0.04/0.13	  with precondition: [B=2,2*V__01=V__02+199,100>=V__01,V__01>=99,V__0>=0] 
0.04/0.13	
0.04/0.13	* Chain [6]: 0
0.04/0.13	  with precondition: [B=2,V__02+199=2*V__01,1>=V__02,0>=V__0+1,V__02+1>=0] 
0.04/0.13	
0.04/0.13	
0.04/0.13	#### Cost of chains of eval_foo_bb0_in(V_x,B):
0.04/0.13	* Chain [8]: 0
0.04/0.13	  with precondition: [0>=V_x+1] 
0.04/0.13	
0.04/0.13	* Chain [7]: 1*s(1)+0
0.04/0.13	  Such that:s(1) =< 2/199*V_x+1/398
0.04/0.13	
0.04/0.13	  with precondition: [V_x>=0] 
0.04/0.13	
0.04/0.13	
0.04/0.13	#### Cost of chains of eval_foo_start(V_x,V_y,V_z,B):
0.04/0.13	* Chain [10]: 0
0.04/0.13	  with precondition: [0>=V_x+1] 
0.04/0.13	
0.04/0.13	* Chain [9]: 1*s(2)+0
0.04/0.13	  Such that:s(2) =< 2/199*V_x+1/398
0.04/0.13	
0.04/0.13	  with precondition: [V_x>=0] 
0.04/0.13	
0.04/0.13	
0.04/0.13	Closed-form bounds of eval_foo_start(V_x,V_y,V_z,B): 
0.04/0.13	-------------------------------------
0.04/0.13	* Chain [10] with precondition: [0>=V_x+1] 
0.04/0.13	    - Upper bound: 0 
0.04/0.13	    - Complexity: constant 
0.04/0.13	* Chain [9] with precondition: [V_x>=0] 
0.04/0.13	    - Upper bound: 2/199*V_x+1/398 
0.04/0.13	    - Complexity: n 
0.04/0.13	
0.04/0.13	### Maximum cost of eval_foo_start(V_x,V_y,V_z,B): nat(2/199*V_x+1/398) 
0.04/0.13	Asymptotic class: n 
0.04/0.13	* Total analysis performed in 61 ms.
0.04/0.13	
0.04/0.23	EOF