Analysing control-flow refined program

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₁₉: eval_terminatorbubble_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₂ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₀: eval_terminatorbubble_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₃+X₄ ∧ 1+X₄ ≤ X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₁: eval_terminatorbubble_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₄ ∧ 2+X₄ ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₂: eval_terminatorbubble_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_bb5_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₄ ∧ 2+X₄ ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₃: eval_terminatorbubble_bb5_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_5_v1(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₄ ∧ 2+X₄ ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₄: eval_terminatorbubble_5_v1(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_6_v1(nondef.0, X₁, X₂, X₃, X₄) :|: X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₄ ∧ 2+X₄ ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₅: eval_terminatorbubble_6_v1(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_bb2_in_v1(X₀, X₁, 1+X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₄ ∧ 2+X₄ ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

knowledge_propagation leads to new time bound X₃ {O(n)} for transition t₁₂₆: eval_terminatorbubble_6_v1(X₀, X₁, X₂, X₃, X₄) → eval_terminatorbubble_bb2_in_v2(X₀, X₁, 1+X₂, X₃, X₂) :|: 1 ≤ X₀ ∧ X₂ ≤ 1 ∧ X₂ ≤ 1+X₄ ∧ X₂+X₄ ≤ 1 ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₄ ∧ 2+X₄ ≤ X₁ ∧ 2 ≤ X₃ ∧ 2 ≤ X₃+X₄ ∧ 2+X₄ ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 0 ≤ X₄ ∧ X₄ ≤ 0

All Bounds

Timebounds

Overall timebound:18⋅X₃⋅X₃+13⋅X₃+6 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₅: X₃ {O(n)}
t₆: 4⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₇: X₃+1 {O(n)}
t₁₀: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₃: 4⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₄: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₆: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₇: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₈: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₉: 1 {O(1)}
t₂₁: 2⋅X₃ {O(n)}
t₂₂: 1 {O(1)}

Costbounds

Overall costbound: 18⋅X₃⋅X₃+13⋅X₃+6 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₅: X₃ {O(n)}
t₆: 4⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₇: X₃+1 {O(n)}
t₁₀: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₃: 4⋅X₃⋅X₃+2⋅X₃ {O(n^2)}
t₁₄: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₆: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₇: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₈: 2⋅X₃⋅X₃+X₃ {O(n^2)}
t₁₉: 1 {O(1)}
t₂₁: 2⋅X₃ {O(n)}
t₂₂: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₅, X₁: X₃ {O(n)}
t₅, X₂: 1 {O(1)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: 0 {O(1)}
t₆, X₁: X₃ {O(n)}
t₆, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₇, X₁: X₃ {O(n)}
t₇, X₂: 8⋅X₃⋅X₃+4⋅X₃+3 {O(n^2)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: 8⋅X₃⋅X₃+4⋅X₃+2 {O(n^2)}
t₁₀, X₁: X₃ {O(n)}
t₁₀, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₃, X₁: X₃ {O(n)}
t₁₃, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₄, X₁: X₃ {O(n)}
t₁₄, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₆, X₁: X₃ {O(n)}
t₁₆, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₇, X₁: X₃ {O(n)}
t₁₇, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₇, X₃: X₃ {O(n)}
t₁₇, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₈, X₁: X₃ {O(n)}
t₁₈, X₂: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: 4⋅X₃⋅X₃+2⋅X₃+1 {O(n^2)}
t₁₉, X₁: X₃ {O(n)}
t₁₉, X₂: 8⋅X₃⋅X₃+4⋅X₃+3 {O(n^2)}
t₁₉, X₃: X₃ {O(n)}
t₁₉, X₄: 0 {O(1)}
t₂₁, X₁: X₃ {O(n)}
t₂₁, X₂: 8⋅X₃⋅X₃+4⋅X₃+3 {O(n^2)}
t₂₁, X₃: X₃ {O(n)}
t₂₁, X₄: 8⋅X₃⋅X₃+4⋅X₃+2 {O(n^2)}
t₂₂, X₁: X₁+X₃ {O(n)}
t₂₂, X₂: 8⋅X₃⋅X₃+4⋅X₃+X₂+3 {O(n^2)}
t₂₂, X₃: 2⋅X₃ {O(n)}
t₂₂, X₄: X₄ {O(n)}