YES(?,POLY) * Step 1: TrivialSCCs WORST_CASE(?,POLY) + Considered Problem: Rules: 0. evalNestedLoopstart(A,B,C,D,E,F,G,H) -> evalNestedLoopentryin(A,B,C,D,E,F,G,H) True (1,1) 1. evalNestedLoopentryin(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] (?,1) 2. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] 3. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb10in(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] 4. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 5. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && I >= 1] 6. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 7. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] 8. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb7in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] 9. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 10. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 11. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 12. evalNestedLoopbb1in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,1 + E,F) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 13. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] 14. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb4in(A,B,C,D,E,F,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] 15. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 16. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 17. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 18. evalNestedLoopbb2in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 19. evalNestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 20. evalNestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalNestedLoopstop(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0] Signature: {(evalNestedLoopbb10in,8) ;(evalNestedLoopbb1in,8) ;(evalNestedLoopbb2in,8) ;(evalNestedLoopbb3in,8) ;(evalNestedLoopbb4in,8) ;(evalNestedLoopbb6in,8) ;(evalNestedLoopbb7in,8) ;(evalNestedLoopbb8in,8) ;(evalNestedLoopbb9in,8) ;(evalNestedLoopentryin,8) ;(evalNestedLoopreturnin,8) ;(evalNestedLoopstart,8) ;(evalNestedLoopstop,8)} Flow Graph: [0->{1},1->{2,3},2->{20},3->{4,5,6},4->{7,8},5->{7,8},6->{20},7->{19},8->{9,10,11},9->{12},10->{12} ,11->{19},12->{13,14},13->{7,8},14->{15,16,17},15->{18},16->{18},17->{7,8},18->{13,14},19->{2,3},20->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: 0. evalNestedLoopstart(A,B,C,D,E,F,G,H) -> evalNestedLoopentryin(A,B,C,D,E,F,G,H) True (1,1) 1. evalNestedLoopentryin(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] (1,1) 2. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 (1,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] 3. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb10in(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] 4. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 5. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && I >= 1] 6. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [-1 + A + -1*D >= 0 (1,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 7. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] 8. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb7in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] 9. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 10. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 11. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 12. evalNestedLoopbb1in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,1 + E,F) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 13. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] 14. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb4in(A,B,C,D,E,F,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] 15. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 16. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 17. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 18. evalNestedLoopbb2in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 19. evalNestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 20. evalNestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalNestedLoopstop(A,B,C,D,E,F,G,H) [D >= 0 (1,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0] Signature: {(evalNestedLoopbb10in,8) ;(evalNestedLoopbb1in,8) ;(evalNestedLoopbb2in,8) ;(evalNestedLoopbb3in,8) ;(evalNestedLoopbb4in,8) ;(evalNestedLoopbb6in,8) ;(evalNestedLoopbb7in,8) ;(evalNestedLoopbb8in,8) ;(evalNestedLoopbb9in,8) ;(evalNestedLoopentryin,8) ;(evalNestedLoopreturnin,8) ;(evalNestedLoopstart,8) ;(evalNestedLoopstop,8)} Flow Graph: [0->{1},1->{2,3},2->{20},3->{4,5,6},4->{7,8},5->{7,8},6->{20},7->{19},8->{9,10,11},9->{12},10->{12} ,11->{19},12->{13,14},13->{7,8},14->{15,16,17},15->{18},16->{18},17->{7,8},18->{13,14},19->{2,3},20->{}] + Applied Processor: AddSinks + Details: () * Step 3: LooptreeTransformer WORST_CASE(?,POLY) + Considered Problem: Rules: 0. evalNestedLoopstart(A,B,C,D,E,F,G,H) -> evalNestedLoopentryin(A,B,C,D,E,F,G,H) True (1,1) 1. evalNestedLoopentryin(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] (?,1) 2. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] 3. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb10in(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] 4. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 5. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && I >= 1] 6. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 7. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] 8. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb7in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] 9. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 10. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 11. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 12. evalNestedLoopbb1in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,1 + E,F) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 13. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] 14. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb4in(A,B,C,D,E,F,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] 15. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 16. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 17. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 18. evalNestedLoopbb2in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 19. evalNestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 20. evalNestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalNestedLoopstop(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0] 21. evalNestedLoopreturnin(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True (?,1) Signature: {(evalNestedLoopbb10in,8) ;(evalNestedLoopbb1in,8) ;(evalNestedLoopbb2in,8) ;(evalNestedLoopbb3in,8) ;(evalNestedLoopbb4in,8) ;(evalNestedLoopbb6in,8) ;(evalNestedLoopbb7in,8) ;(evalNestedLoopbb8in,8) ;(evalNestedLoopbb9in,8) ;(evalNestedLoopentryin,8) ;(evalNestedLoopreturnin,8) ;(evalNestedLoopstart,8) ;(evalNestedLoopstop,8) ;(exitus616,8)} Flow Graph: [0->{1},1->{2,3},2->{20,21},3->{4,5,6},4->{7,8},5->{7,8},6->{20,21},7->{19},8->{9,10,11},9->{12},10->{12} ,11->{19},12->{13,14},13->{7,8},14->{15,16,17},15->{18},16->{18},17->{7,8},18->{13,14},19->{2,3},20->{} ,21->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] | `- p:[3,19,7,4,5,13,12,9,8,17,14,18,15,16,10,11] c: [19] | `- p:[8,13,12,9,10,18,15,14,16,17] c: [18] | `- p:[8,13,12,9,10,17,14] c: [17] | `- p:[8,13,12,9,10] c: [13] * Step 4: SizeAbstraction WORST_CASE(?,POLY) + Considered Problem: (Rules: 0. evalNestedLoopstart(A,B,C,D,E,F,G,H) -> evalNestedLoopentryin(A,B,C,D,E,F,G,H) True (1,1) 1. evalNestedLoopentryin(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] (?,1) 2. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] 3. evalNestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb10in(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] 4. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 5. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,0,D,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && I >= 1] 6. evalNestedLoopbb10in(A,B,C,D,E,F,G,H) -> evalNestedLoopreturnin(A,B,C,D,E,F,G,H) [-1 + A + -1*D >= 0 (?,1) && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 7. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] 8. evalNestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb7in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] 9. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 10. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb1in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 11. evalNestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 12. evalNestedLoopbb1in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,1 + E,F) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 13. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] 14. evalNestedLoopbb3in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb4in(A,B,C,D,E,F,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] 15. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && 0 >= 1 + I] 16. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb2in(A,B,C,D,E,F,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && I >= 1] 17. evalNestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb6in(A,B,C,D,G,H,G,H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 18. evalNestedLoopbb2in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb3in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 19. evalNestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalNestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 20. evalNestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalNestedLoopstop(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0] 21. evalNestedLoopreturnin(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True (?,1) Signature: {(evalNestedLoopbb10in,8) ;(evalNestedLoopbb1in,8) ;(evalNestedLoopbb2in,8) ;(evalNestedLoopbb3in,8) ;(evalNestedLoopbb4in,8) ;(evalNestedLoopbb6in,8) ;(evalNestedLoopbb7in,8) ;(evalNestedLoopbb8in,8) ;(evalNestedLoopbb9in,8) ;(evalNestedLoopentryin,8) ;(evalNestedLoopreturnin,8) ;(evalNestedLoopstart,8) ;(evalNestedLoopstop,8) ;(exitus616,8)} Flow Graph: [0->{1},1->{2,3},2->{20,21},3->{4,5,6},4->{7,8},5->{7,8},6->{20,21},7->{19},8->{9,10,11},9->{12},10->{12} ,11->{19},12->{13,14},13->{7,8},14->{15,16,17},15->{18},16->{18},17->{7,8},18->{13,14},19->{2,3},20->{} ,21->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] | `- p:[3,19,7,4,5,13,12,9,8,17,14,18,15,16,10,11] c: [19] | `- p:[8,13,12,9,10,18,15,14,16,17] c: [18] | `- p:[8,13,12,9,10,17,14] c: [17] | `- p:[8,13,12,9,10] c: [13]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 5: FlowAbstraction WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,H,0.0,0.0.0,0.0.0.0,0.0.0.0.0] evalNestedLoopstart ~> evalNestedLoopentryin [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopentryin ~> evalNestedLoopbb9in [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb9in ~> evalNestedLoopreturnin [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb9in ~> evalNestedLoopbb10in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb10in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalNestedLoopbb10in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalNestedLoopbb10in ~> evalNestedLoopreturnin [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb6in ~> evalNestedLoopbb8in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb6in ~> evalNestedLoopbb7in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb8in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb1in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalNestedLoopbb3in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb4in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb2in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb2in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb2in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] evalNestedLoopbb8in ~> evalNestedLoopbb9in [A <= A, B <= B, C <= C, D <= A + F, E <= E, F <= F, G <= G, H <= H] evalNestedLoopreturnin ~> evalNestedLoopstop [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopreturnin ~> exitus616 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Loop: [0.0 <= K + 2*A + D] evalNestedLoopbb9in ~> evalNestedLoopbb10in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb8in ~> evalNestedLoopbb9in [A <= A, B <= B, C <= C, D <= A + F, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb6in ~> evalNestedLoopbb8in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb10in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalNestedLoopbb10in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb1in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb6in ~> evalNestedLoopbb7in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb4in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb2in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] evalNestedLoopbb4in ~> evalNestedLoopbb2in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb2in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb8in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Loop: [0.0.0 <= C + F + H] evalNestedLoopbb6in ~> evalNestedLoopbb7in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb1in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb2in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] evalNestedLoopbb4in ~> evalNestedLoopbb2in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb4in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb2in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] + Loop: [0.0.0.0 <= K + B + E + G] evalNestedLoopbb6in ~> evalNestedLoopbb7in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb1in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb4in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb4in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Loop: [0.0.0.0.0 <= K + B + E + G] evalNestedLoopbb6in ~> evalNestedLoopbb7in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb3in ~> evalNestedLoopbb6in [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalNestedLoopbb1in ~> evalNestedLoopbb3in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Applied Processor: FlowAbstraction + Details: () * Step 6: LareProcessor WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,H,0.0,0.0.0,0.0.0.0,0.0.0.0.0] evalNestedLoopstart ~> evalNestedLoopentryin [] evalNestedLoopentryin ~> evalNestedLoopbb9in [K ~=> D] evalNestedLoopbb9in ~> evalNestedLoopreturnin [] evalNestedLoopbb9in ~> evalNestedLoopbb10in [] evalNestedLoopbb10in ~> evalNestedLoopbb6in [D ~=> F,K ~=> E] evalNestedLoopbb10in ~> evalNestedLoopbb6in [D ~=> F,K ~=> E] evalNestedLoopbb10in ~> evalNestedLoopreturnin [] evalNestedLoopbb6in ~> evalNestedLoopbb8in [] evalNestedLoopbb6in ~> evalNestedLoopbb7in [] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb7in ~> evalNestedLoopbb8in [] evalNestedLoopbb1in ~> evalNestedLoopbb3in [B ~=> G,F ~=> H] evalNestedLoopbb3in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb3in ~> evalNestedLoopbb4in [] evalNestedLoopbb4in ~> evalNestedLoopbb2in [] evalNestedLoopbb4in ~> evalNestedLoopbb2in [] evalNestedLoopbb4in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb2in ~> evalNestedLoopbb3in [C ~=> H] evalNestedLoopbb8in ~> evalNestedLoopbb9in [A ~+> D,F ~+> D] evalNestedLoopreturnin ~> evalNestedLoopstop [] evalNestedLoopreturnin ~> exitus616 [] + Loop: [D ~+> 0.0,K ~+> 0.0,A ~*> 0.0] evalNestedLoopbb9in ~> evalNestedLoopbb10in [] evalNestedLoopbb8in ~> evalNestedLoopbb9in [A ~+> D,F ~+> D] evalNestedLoopbb6in ~> evalNestedLoopbb8in [] evalNestedLoopbb10in ~> evalNestedLoopbb6in [D ~=> F,K ~=> E] evalNestedLoopbb10in ~> evalNestedLoopbb6in [D ~=> F,K ~=> E] evalNestedLoopbb3in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb1in ~> evalNestedLoopbb3in [B ~=> G,F ~=> H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb6in ~> evalNestedLoopbb7in [] evalNestedLoopbb4in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb3in ~> evalNestedLoopbb4in [] evalNestedLoopbb2in ~> evalNestedLoopbb3in [C ~=> H] evalNestedLoopbb4in ~> evalNestedLoopbb2in [] evalNestedLoopbb4in ~> evalNestedLoopbb2in [] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb7in ~> evalNestedLoopbb8in [] + Loop: [C ~+> 0.0.0,F ~+> 0.0.0,H ~+> 0.0.0] evalNestedLoopbb6in ~> evalNestedLoopbb7in [] evalNestedLoopbb3in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb1in ~> evalNestedLoopbb3in [B ~=> G,F ~=> H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb2in ~> evalNestedLoopbb3in [C ~=> H] evalNestedLoopbb4in ~> evalNestedLoopbb2in [] evalNestedLoopbb3in ~> evalNestedLoopbb4in [] evalNestedLoopbb4in ~> evalNestedLoopbb2in [] evalNestedLoopbb4in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] + Loop: [B ~+> 0.0.0.0,E ~+> 0.0.0.0,G ~+> 0.0.0.0,K ~+> 0.0.0.0] evalNestedLoopbb6in ~> evalNestedLoopbb7in [] evalNestedLoopbb3in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb1in ~> evalNestedLoopbb3in [B ~=> G,F ~=> H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb4in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb3in ~> evalNestedLoopbb4in [] + Loop: [B ~+> 0.0.0.0.0,E ~+> 0.0.0.0.0,G ~+> 0.0.0.0.0,K ~+> 0.0.0.0.0] evalNestedLoopbb6in ~> evalNestedLoopbb7in [] evalNestedLoopbb3in ~> evalNestedLoopbb6in [G ~=> E,H ~=> F] evalNestedLoopbb1in ~> evalNestedLoopbb3in [B ~=> G,F ~=> H] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] evalNestedLoopbb7in ~> evalNestedLoopbb1in [] + Applied Processor: LareProcessor + Details: evalNestedLoopstart ~> exitus616 [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,G ~=> E ,H ~=> F ,K ~=> D ,K ~=> E ,K ~=> F ,K ~=> H ,A ~+> D ,A ~+> F ,A ~+> H ,A ~+> 0.0 ,A ~+> 0.0.0 ,A ~+> tick ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,C ~+> D ,C ~+> F ,C ~+> H ,C ~+> 0.0 ,C ~+> 0.0.0 ,C ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,H ~+> D ,H ~+> F ,H ~+> H ,H ~+> 0.0 ,H ~+> 0.0.0 ,H ~+> tick ,tick ~+> tick ,K ~+> D ,K ~+> F ,K ~+> H ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> F ,A ~*> H ,A ~*> 0.0 ,A ~*> 0.0.0 ,A ~*> tick ,B ~*> 0.0.0.0 ,B ~*> 0.0.0.0.0 ,B ~*> tick ,C ~*> D ,C ~*> H ,C ~*> 0.0.0 ,C ~*> tick ,G ~*> 0.0.0.0 ,G ~*> 0.0.0.0.0 ,G ~*> tick ,H ~*> D ,H ~*> H ,H ~*> 0.0.0 ,H ~*> tick ,K ~*> D ,K ~*> F ,K ~*> H ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.0.0.0 ,K ~*> tick] evalNestedLoopstart ~> evalNestedLoopstop [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,G ~=> E ,H ~=> F ,K ~=> D ,K ~=> E ,K ~=> F ,K ~=> H ,A ~+> D ,A ~+> F ,A ~+> H ,A ~+> 0.0 ,A ~+> 0.0.0 ,A ~+> tick ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,C ~+> D ,C ~+> F ,C ~+> H ,C ~+> 0.0 ,C ~+> 0.0.0 ,C ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,H ~+> D ,H ~+> F ,H ~+> H ,H ~+> 0.0 ,H ~+> 0.0.0 ,H ~+> tick ,tick ~+> tick ,K ~+> D ,K ~+> F ,K ~+> H ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> F ,A ~*> H ,A ~*> 0.0 ,A ~*> 0.0.0 ,A ~*> tick ,B ~*> 0.0.0.0 ,B ~*> 0.0.0.0.0 ,B ~*> tick ,C ~*> D ,C ~*> H ,C ~*> 0.0.0 ,C ~*> tick ,G ~*> 0.0.0.0 ,G ~*> 0.0.0.0.0 ,G ~*> tick ,H ~*> D ,H ~*> H ,H ~*> 0.0.0 ,H ~*> tick ,K ~*> D ,K ~*> F ,K ~*> H ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.0.0.0 ,K ~*> tick] + evalNestedLoopbb10in> [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,D ~=> F ,D ~=> H ,G ~=> E ,H ~=> F ,K ~=> E ,A ~+> D ,A ~+> F ,A ~+> H ,A ~+> 0.0.0 ,A ~+> tick ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,C ~+> D ,C ~+> F ,C ~+> H ,C ~+> 0.0.0 ,C ~+> tick ,D ~+> D ,D ~+> F ,D ~+> H ,D ~+> 0.0 ,D ~+> 0.0.0 ,D ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,H ~+> D ,H ~+> F ,H ~+> H ,H ~+> 0.0.0 ,H ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> H ,A ~*> 0.0 ,A ~*> 0.0.0 ,A ~*> tick ,B ~*> 0.0.0.0 ,B ~*> 0.0.0.0.0 ,B ~*> tick ,C ~*> 0.0.0 ,C ~*> tick ,D ~*> D ,D ~*> H ,D ~*> 0.0.0 ,D ~*> tick ,G ~*> 0.0.0.0 ,G ~*> 0.0.0.0.0 ,G ~*> tick ,H ~*> 0.0.0 ,H ~*> tick ,K ~*> D ,K ~*> H ,K ~*> 0.0.0.0 ,K ~*> 0.0.0.0.0 ,K ~*> tick] evalNestedLoopbb9in> [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,D ~=> F ,D ~=> H ,G ~=> E ,H ~=> F ,K ~=> E ,A ~+> D ,A ~+> F ,A ~+> H ,A ~+> 0.0.0 ,A ~+> tick ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,C ~+> D ,C ~+> F ,C ~+> H ,C ~+> 0.0.0 ,C ~+> tick ,D ~+> D ,D ~+> F ,D ~+> H ,D ~+> 0.0 ,D ~+> 0.0.0 ,D ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,H ~+> D ,H ~+> F ,H ~+> H ,H ~+> 0.0.0 ,H ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> F ,A ~*> H ,A ~*> 0.0 ,A ~*> 0.0.0 ,A ~*> tick ,B ~*> 0.0.0.0 ,B ~*> 0.0.0.0.0 ,B ~*> tick ,C ~*> 0.0.0 ,C ~*> tick ,D ~*> D ,D ~*> F ,D ~*> H ,D ~*> 0.0.0 ,D ~*> tick ,G ~*> 0.0.0.0 ,G ~*> 0.0.0.0.0 ,G ~*> tick ,H ~*> 0.0.0 ,H ~*> tick ,K ~*> D ,K ~*> F ,K ~*> H ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.0.0.0 ,K ~*> tick] + evalNestedLoopbb7in> [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,C ~+> 0.0.0 ,C ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,F ~+> 0.0.0 ,F ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,H ~+> 0.0.0 ,H ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0 ,B ~*> 0.0.0.0.0 ,B ~*> tick ,C ~*> tick ,E ~*> tick ,F ~*> tick ,G ~*> 0.0.0.0 ,G ~*> 0.0.0.0.0 ,G ~*> tick ,H ~*> tick ,K ~*> tick] evalNestedLoopbb6in> [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,C ~+> 0.0.0 ,C ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,F ~+> 0.0.0 ,F ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,H ~+> 0.0.0 ,H ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0 ,B ~*> 0.0.0.0.0 ,B ~*> tick ,C ~*> tick ,E ~*> tick ,F ~*> tick ,G ~*> 0.0.0.0 ,G ~*> 0.0.0.0.0 ,G ~*> tick ,H ~*> tick ,K ~*> tick] + evalNestedLoopbb7in> [B ~=> E ,B ~=> G ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0.0 ,B ~*> tick ,E ~*> tick ,G ~*> 0.0.0.0.0 ,G ~*> tick ,K ~*> tick] evalNestedLoopbb7in> [B ~=> E ,B ~=> G ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0.0 ,B ~*> tick ,E ~*> tick ,G ~*> 0.0.0.0.0 ,G ~*> tick ,K ~*> tick] evalNestedLoopbb4in> [B ~=> E ,B ~=> G ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0.0 ,B ~*> tick ,E ~*> tick ,G ~*> 0.0.0.0.0 ,G ~*> tick ,K ~*> tick] evalNestedLoopbb6in> [B ~=> E ,B ~=> G ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0.0 ,B ~*> tick ,E ~*> tick ,G ~*> 0.0.0.0.0 ,G ~*> tick ,K ~*> tick] evalNestedLoopbb4in> [B ~=> E ,B ~=> G ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0.0 ,B ~*> tick ,E ~*> tick ,G ~*> 0.0.0.0.0 ,G ~*> tick ,K ~*> tick] evalNestedLoopbb6in> [B ~=> E ,B ~=> G ,F ~=> H ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0 ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0 ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0 ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> tick ,B ~*> 0.0.0.0.0 ,B ~*> tick ,E ~*> tick ,G ~*> 0.0.0.0.0 ,G ~*> tick ,K ~*> tick] + evalNestedLoopbb3in> [B ~=> E ,B ~=> G ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> tick] evalNestedLoopbb7in> [B ~=> E ,B ~=> G ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> tick] evalNestedLoopbb6in> [B ~=> E ,B ~=> G ,G ~=> E ,H ~=> F ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> tick] evalNestedLoopbb3in> [B ~=> E ,B ~=> G ,F ~=> H ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> tick] evalNestedLoopbb7in> [B ~=> E ,B ~=> G ,F ~=> H ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> tick] evalNestedLoopbb6in> [B ~=> E ,B ~=> G ,F ~=> H ,B ~+> 0.0.0.0.0 ,B ~+> tick ,E ~+> 0.0.0.0.0 ,E ~+> tick ,G ~+> 0.0.0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> tick] YES(?,POLY)