Initial Problem

Start: eval_twn02_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_twn02_bb0_in, eval_twn02_bb1_in, eval_twn02_bb2_in, eval_twn02_bb3_in, eval_twn02_start, eval_twn02_stop
Transitions:
t₁: eval_twn02_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb1_in(X₂, X₃, X₂, X₃, X₄)
t₂: eval_twn02_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ (X₁)²
t₃: eval_twn02_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: (X₁)² ≤ X₀
t₄: eval_twn02_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0
t₅: eval_twn02_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb1_in(5⋅X₀+(X₄)², 2⋅X₁, X₂, X₃, X₄)
t₆: eval_twn02_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_twn02_start(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb0_in(X₀, X₁, X₂, X₃, X₄)

Preprocessing

Found invariant X₂ ≤ X₀ ∧ 1 ≤ X₀ for location eval_twn02_bb2_in

Found invariant X₂ ≤ X₀ for location eval_twn02_stop

Found invariant X₂ ≤ X₀ for location eval_twn02_bb3_in

Found invariant X₂ ≤ X₀ for location eval_twn02_bb1_in

Problem after Preprocessing

Start: eval_twn02_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_twn02_bb0_in, eval_twn02_bb1_in, eval_twn02_bb2_in, eval_twn02_bb3_in, eval_twn02_start, eval_twn02_stop
Transitions:
t₁: eval_twn02_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb1_in(X₂, X₃, X₂, X₃, X₄)
t₂: eval_twn02_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ 1+X₀ ≤ (X₁)² ∧ X₂ ≤ X₀
t₃: eval_twn02_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: (X₁)² ≤ X₀ ∧ X₂ ≤ X₀
t₄: eval_twn02_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ 0 ∧ X₂ ≤ X₀
t₅: eval_twn02_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb1_in(5⋅X₀+(X₄)², 2⋅X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ X₂ ≤ X₀
t₆: eval_twn02_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_twn02_stop(X₀, X₁, X₂, X₃, X₄) :|: X₂ ≤ X₀
t₀: eval_twn02_start(X₀, X₁, X₂, X₃, X₄) → eval_twn02_bb0_in(X₀, X₁, X₂, X₃, X₄)

Found invariant X₂ ≤ X₀ for location eval_twn02_stop

Found invariant X₂ ≤ X₀ for location eval_twn02_bb3_in

Found invariant X₂ ≤ X₀ for location eval_twn02_bb1_in

Found invariant X₂ ≤ X₀ ∧ 1 ≤ X₀ for location eval_twn02_bb2_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: inf {Infinity}
t₆: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: inf {Infinity}
t₆: 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: X₂ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₃, X₄: 2⋅X₄ {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: 2⋅X₄ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₆, X₂: 4⋅X₂ {O(n)}
t₆, X₃: 4⋅X₃ {O(n)}
t₆, X₄: 4⋅X₄ {O(n)}