Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₆: eval_foo_0(X₀, X₁, X₂) → eval_foo_1(X₀, nondef.0, X₂)
t₇: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb1_in(X₀+X₁, X₁, X₂)
t₁: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₂, X₁, X₂)
t₂: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: 0 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1+X₀ ≤ 0
t₄: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_0(X₀, X₁, X₂)
t₈: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂)
t₀: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Preprocessing

Found invariant 0 ≤ X₀ for location eval_foo_bb2_in

Found invariant 0 ≤ X₀ for location eval_foo_0

Found invariant 0 ≤ X₀ for location eval_foo_1

Found invariant 1+X₀ ≤ 0 for location eval_foo_stop

Found invariant 1+X₀ ≤ 0 for location eval_foo_bb3_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₆: eval_foo_0(X₀, X₁, X₂) → eval_foo_1(X₀, nondef.0, X₂) :|: 0 ≤ X₀
t₇: eval_foo_1(X₀, X₁, X₂) → eval_foo_bb1_in(X₀+X₁, X₁, X₂) :|: 0 ≤ X₀
t₁: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(X₂, X₁, X₂)
t₂: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: 0 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1+X₀ ≤ 0
t₄: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_0(X₀, X₁, X₂) :|: 0 ≤ X₀
t₈: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂) :|: 1+X₀ ≤ 0
t₀: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Found invariant 0 ≤ X₂ ∧ X₁ ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₀ ≤ X₂ ∧ 1+X₀ ≤ 0 for location eval_foo_stop

Found invariant X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₀ for location eval_foo_0_v1

Found invariant X₀ ≤ X₂ ∧ 1+X₀ ≤ 0 for location eval_foo_bb3_in

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ 0 ≤ X₀ for location eval_foo_1_v1

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

Found invariant 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₀ for location eval_foo_0_v2

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location eval_foo_bb1_in

Found invariant X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₀ for location eval_foo_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: inf {Infinity}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₂, X₂: X₂ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₄, X₂: X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₇, X₂: X₂ {O(n)}
t₈, X₂: 2⋅X₂ {O(n)}