Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(1, X₆, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂
t₂: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(-1, X₆, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₄: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₁
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₀+X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₂
t₆: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb1_in(X₀, X₁-X₀, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0
t₇: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Eliminate variables [X₃; X₅] that do not contribute to the problem

Found invariant X₁ ≤ X₃ ∧ X₀ ≤ 1 for location eval_foo_bb2_in

Found invariant X₀ ≤ 1 for location eval_foo_bb1_in

Found invariant 1+X₃ ≤ X₁ ∧ X₀ ≤ 1 for location eval_foo_stop

Found invariant 1+X₃ ≤ X₁ ∧ X₀ ≤ 1 for location eval_foo_bb3_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₁₅: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(1, X₄, X₂, X₃, X₄) :|: 1 ≤ X₂
t₁₆: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(-1, X₄, X₂, X₃, X₄) :|: X₂ ≤ 0
t₁₇: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₃ ∧ X₀ ≤ 1
t₁₈: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀ ≤ 1
t₁₉: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₀, X₀+X₁, X₂, X₃, X₄) :|: 1 ≤ X₂ ∧ X₀ ≤ 1 ∧ X₁ ≤ X₃
t₂₀: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₀, X₁-X₀, X₂, X₃, X₄) :|: X₂ ≤ 0 ∧ X₀ ≤ 1 ∧ X₁ ≤ X₃
t₂₁: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 1 ∧ 1+X₃ ≤ X₁
t₂₂: eval_foo_start(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄)

Found invariant X₄ ≤ X₃ ∧ X₁ ≤ 1+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ X₀+X₂ ≤ 1 ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb1_in_v1

Found invariant X₄ ≤ X₃ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb1_in_v2

Found invariant X₄ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_stop

Found invariant X₄ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb3_in

Found invariant X₄ ≤ X₃ ∧ X₁ ≤ X₃ ∧ 1 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v2

Found invariant X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb1_in

Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₁ ∧ X₁ ≤ X₄ ∧ X₁ ≤ X₃ ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v1

Found invariant X₄ ≤ X₃ ∧ X₁ ≤ X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ X₀+X₂ ≤ 1 ∧ X₀ ≤ 1 ∧ 0 ≤ 1+X₀ for location eval_foo_bb2_in_v3

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₀: inf {Infinity}
t₂₁: 1 {O(1)}
t₂₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: inf {Infinity}
t₁₈: 1 {O(1)}
t₁₉: inf {Infinity}
t₂₀: inf {Infinity}
t₂₁: 1 {O(1)}
t₂₂: 1 {O(1)}

Sizebounds

t₁₅, X₀: 1 {O(1)}
t₁₅, X₁: X₄ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₁₆, X₀: 1 {O(1)}
t₁₆, X₁: X₄ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₇, X₀: 2 {O(1)}
t₁₇, X₂: 2⋅X₂ {O(n)}
t₁₇, X₃: 2⋅X₃ {O(n)}
t₁₇, X₄: 2⋅X₄ {O(n)}
t₁₈, X₀: 6 {O(1)}
t₁₈, X₂: 6⋅X₂ {O(n)}
t₁₈, X₃: 6⋅X₃ {O(n)}
t₁₈, X₄: 6⋅X₄ {O(n)}
t₁₉, X₀: 2 {O(1)}
t₁₉, X₂: 2⋅X₂ {O(n)}
t₁₉, X₃: 2⋅X₃ {O(n)}
t₁₉, X₄: 2⋅X₄ {O(n)}
t₂₀, X₀: 2 {O(1)}
t₂₀, X₂: 2⋅X₂ {O(n)}
t₂₀, X₃: 2⋅X₃ {O(n)}
t₂₀, X₄: 2⋅X₄ {O(n)}
t₂₁, X₀: 6 {O(1)}
t₂₁, X₂: 6⋅X₂ {O(n)}
t₂₁, X₃: 6⋅X₃ {O(n)}
t₂₁, X₄: 6⋅X₄ {O(n)}
t₂₂, X₀: X₀ {O(n)}
t₂₂, X₁: X₁ {O(n)}
t₂₂, X₂: X₂ {O(n)}
t₂₂, X₃: X₃ {O(n)}
t₂₂, X₄: X₄ {O(n)}