Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁
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) → eval_foo_bb1_in(0, X₁)
t₂: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb2_in(X₀, X₁) :|: X₀ ≤ 99
t₃: eval_foo_bb1_in(X₀, X₁) → eval_foo_bb3_in(X₀, X₁) :|: 100 ≤ X₀
t₄: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(1+X₀, X₁) :|: X₀ ≤ 49
t₅: eval_foo_bb2_in(X₀, X₁) → eval_foo_bb1_in(X₀-1, X₁) :|: 50 ≤ X₀
t₆: eval_foo_bb3_in(X₀, X₁) → eval_foo_stop(X₀, X₁)
t₀: eval_foo_start(X₀, X₁) → eval_foo_bb0_in(X₀, X₁)

Preprocessing

Eliminate variables [X₁] that do not contribute to the problem

Found invariant X₀ ≤ 99 ∧ 0 ≤ X₀ for location eval_foo_bb2_in

Found invariant 0 ≤ X₀ for location eval_foo_bb1_in

Found invariant 100 ≤ X₀ for location eval_foo_stop

Found invariant 100 ≤ X₀ for location eval_foo_bb3_in

Cut unsatisfiable transition [t₁₅: eval_foo_bb1_in→eval_foo_bb3_in]

Cut unreachable locations [eval_foo_bb3_in; eval_foo_stop] from the program graph

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_start
Transitions:
t₁₃: eval_foo_bb0_in(X₀) → eval_foo_bb1_in(0)
t₁₄: eval_foo_bb1_in(X₀) → eval_foo_bb2_in(X₀) :|: X₀ ≤ 99 ∧ 0 ≤ X₀
t₁₆: eval_foo_bb2_in(X₀) → eval_foo_bb1_in(1+X₀) :|: X₀ ≤ 49 ∧ X₀ ≤ 99 ∧ 0 ≤ X₀
t₁₇: eval_foo_bb2_in(X₀) → eval_foo_bb1_in(X₀-1) :|: 50 ≤ X₀ ∧ X₀ ≤ 99 ∧ 0 ≤ X₀
t₁₉: eval_foo_start(X₀) → eval_foo_bb0_in(X₀)

Found invariant 1 ≤ 0 for location eval_foo_bb1_in_v1

Found invariant X₀ ≤ 49 ∧ 49 ≤ X₀ for location eval_foo_bb1_in_v3

Found invariant 1 ≤ 0 for location eval_foo_bb2_in_v5

Found invariant X₀ ≤ 50 ∧ 1 ≤ X₀ for location eval_foo_bb1_in_v2

Found invariant X₀ ≤ 50 ∧ 50 ≤ X₀ for location eval_foo_bb2_in_v4

Found invariant X₀ ≤ 50 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant X₀ ≤ 50 ∧ 50 ≤ X₀ for location eval_foo_bb1_in_v4

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb1_in

Found invariant X₀ ≤ 0 ∧ 0 ≤ X₀ for location eval_foo_bb2_in_v1

Found invariant X₀ ≤ 49 ∧ 49 ≤ X₀ for location eval_foo_bb2_in_v3

Cut unsatisfiable transition [t₄₀: eval_foo_bb2_in_v1→eval_foo_bb1_in_v1; t₄₉: eval_foo_bb1_in_v1→eval_foo_bb2_in_v5; t₅₀: eval_foo_bb2_in_v5→eval_foo_bb1_in_v1; t₅₁: eval_foo_bb2_in_v5→eval_foo_bb1_in_v4]

Cut unreachable locations [eval_foo_bb1_in_v1; eval_foo_bb2_in_v5] from the program graph

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₃: 1 {O(1)}
t₁₄: inf {Infinity}
t₁₆: inf {Infinity}
t₁₇: inf {Infinity}
t₁₉: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₃: 1 {O(1)}
t₁₄: inf {Infinity}
t₁₆: inf {Infinity}
t₁₇: inf {Infinity}
t₁₉: 1 {O(1)}

Sizebounds

t₁₃, X₀: 0 {O(1)}
t₁₄, X₀: 99 {O(1)}
t₁₆, X₀: 50 {O(1)}
t₁₇, X₀: 98 {O(1)}
t₁₉, X₀: X₀ {O(n)}