Analysing control-flow refined program

knowledge_propagation leads to new time bound X₂+2 {O(n)} for transition t₆₅: eval_set_color_ht_extracted_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_set_color_ht_extracted_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₅ ≤ 0 ∧ X₆ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₀ ≤ X₆ ∧ X₆ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅

knowledge_propagation leads to new time bound X₂+2 {O(n)} for transition t₆₆: eval_set_color_ht_extracted_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_set_color_ht_extracted_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ X₆ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₀ ≤ X₆ ∧ X₆ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅

knowledge_propagation leads to new time bound X₂+2 {O(n)} for transition t₆₇: eval_set_color_ht_extracted_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_set_color_ht_extracted_bb4_in_v1(X₀, X₅-8, X₂, 8, X₄, X₅, X₆) :|: 8 ≤ X₅ ∧ X₆ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₆ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅

knowledge_propagation leads to new time bound X₂+2 {O(n)} for transition t₆₈: eval_set_color_ht_extracted_bb3_in_v1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_set_color_ht_extracted_bb4_in_v2(X₀, 0, X₂, X₅, X₄, X₅, X₆) :|: X₅ ≤ 7 ∧ X₆ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₆ ≤ X₂ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅

knowledge_propagation leads to new time bound X₂+2 {O(n)} for transition t₆₉: eval_set_color_ht_extracted_bb4_in_v2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_set_color_ht_extracted_bb4_in_v3(X₀, X₁, X₂, X₃-1, X₄, X₅, X₆) :|: 1 ≤ X₃ ∧ X₃+X₄ ≤ 14 ∧ X₃+X₅ ≤ 14 ∧ X₄+X₅ ≤ 14 ∧ X₃ ≤ 8+X₁ ∧ X₅ ≤ 8+X₁ ∧ X₃ ≤ 8 ∧ X₃ ≤ 7+X₁ ∧ X₄ ≤ 7+X₁ ∧ X₅ ≤ 7+X₁ ∧ X₁+X₃ ≤ 7 ∧ X₁+X₄ ≤ 7 ∧ X₁+X₅ ≤ 7 ∧ X₃ ≤ 7 ∧ X₄ ≤ 7 ∧ X₅ ≤ 7 ∧ X₆ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₀ ≤ X₆ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₁+X₅ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1+X₁ ≤ X₅ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₃+X₅ ∧ 2 ≤ X₄+X₅ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 0 ∧ X₆ ≤ X₂ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₃ ∧ X₅ ≤ X₃ ∧ X₃ ≤ X₄ ∧ X₃ ≤ X₅ ∧ X₅ ≤ X₄ ∧ X₄ ≤ X₅

All Bounds

Timebounds

Overall timebound:8⋅X₂⋅X₄+16⋅X₄+4⋅X₂+11 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂+2 {O(n)}
t₃: 2⋅X₂⋅X₄+4⋅X₄ {O(n^2)}
t₄: X₂+2 {O(n)}
t₅: X₂⋅X₄+2⋅X₄ {O(n^2)}
t₆: 3⋅X₂⋅X₄+6⋅X₄ {O(n^2)}
t₇: X₂⋅X₄+2⋅X₄+X₂+2 {O(n^2)}
t₈: X₂⋅X₄+2⋅X₄ {O(n^2)}
t₉: 1 {O(1)}
t₁₀: X₂+1 {O(n)}
t₁₁: 1 {O(1)}

Costbounds

Overall costbound: 8⋅X₂⋅X₄+16⋅X₄+4⋅X₂+11 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂+2 {O(n)}
t₃: 2⋅X₂⋅X₄+4⋅X₄ {O(n^2)}
t₄: X₂+2 {O(n)}
t₅: X₂⋅X₄+2⋅X₄ {O(n^2)}
t₆: 3⋅X₂⋅X₄+6⋅X₄ {O(n^2)}
t₇: X₂⋅X₄+2⋅X₄+X₂+2 {O(n^2)}
t₈: X₂⋅X₄+2⋅X₄ {O(n^2)}
t₉: 1 {O(1)}
t₁₀: X₂+1 {O(n)}
t₁₁: 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)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₂ {O(n)}
t₂, X₀: 2⋅X₂+2 {O(n)}
t₂, X₁: 2⋅X₄+X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: 2⋅X₄ {O(n)}
t₂, X₆: 3⋅X₂+2 {O(n)}
t₃, X₀: 2⋅X₂+2 {O(n)}
t₃, X₁: 4⋅X₄+X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: 2⋅X₄ {O(n)}
t₃, X₆: 3⋅X₂+2 {O(n)}
t₄, X₀: 2⋅X₂+2 {O(n)}
t₄, X₁: 2⋅X₄+X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: 4⋅X₄ {O(n)}
t₄, X₆: 6⋅X₂+4 {O(n)}
t₅, X₀: 2⋅X₂+2 {O(n)}
t₅, X₁: 0 {O(1)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: 7 {O(1)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: 7 {O(1)}
t₅, X₆: 3⋅X₂+2 {O(n)}
t₆, X₀: 2⋅X₂+2 {O(n)}
t₆, X₁: 2⋅X₄ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: 8 {O(1)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: 2⋅X₄ {O(n)}
t₆, X₆: 3⋅X₂+2 {O(n)}
t₇, X₀: 2⋅X₂+2 {O(n)}
t₇, X₁: 2⋅X₄ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: 7 {O(1)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: 2⋅X₄+7 {O(n)}
t₇, X₆: 3⋅X₂+2 {O(n)}
t₈, X₀: 2⋅X₂+2 {O(n)}
t₈, X₁: 2⋅X₄ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: 0 {O(1)}
t₈, X₄: X₄ {O(n)}
t₈, X₅: 2⋅X₄ {O(n)}
t₈, X₆: 3⋅X₂+2 {O(n)}
t₉, X₀: 2⋅X₂+2 {O(n)}
t₉, X₁: 2⋅X₄+X₁ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₃ {O(n)}
t₉, X₄: X₄ {O(n)}
t₉, X₅: 4⋅X₄ {O(n)}
t₉, X₆: 6⋅X₂+4 {O(n)}
t₁₀, X₀: 2⋅X₂+2 {O(n)}
t₁₀, X₁: 2⋅X₄+X₁ {O(n)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₃ {O(n)}
t₁₀, X₄: X₄ {O(n)}
t₁₀, X₅: 4⋅X₄ {O(n)}
t₁₀, X₆: 2⋅X₂+2 {O(n)}
t₁₁, X₀: 2⋅X₂+2 {O(n)}
t₁₁, X₁: 2⋅X₄+X₁ {O(n)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₁₁, X₄: X₄ {O(n)}
t₁₁, X₅: 4⋅X₄ {O(n)}
t₁₁, X₆: 6⋅X₂+4 {O(n)}