▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛ ❊q✉❛t✐♦♥✲❇❛s❡❞ ❖❜❥❡❝t ❖r✐❡♥t❡❞ ▼♦❞❡❧✐♥❣ ▲❛♥❣✉❛❣❡s ❛♥❞ ❚♦♦❧s ✷✵✶✵✱ ❖s❧♦ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ■♥st✐t✉t ❢⑧ ✉r ❙♦❢t✇❛r❡t❡❝❤♥✐❦ ✉♥❞ ❚❤❡♦r❡t✐s❝❤❡ ■♥❢♦r♠❛t✐❦ ❚❡❝❤♥✐s❝❤❡ ❯♥✐✈❡rs✐t⑧ ❛t ❇❡r❧✐♥ ❋r❛✉♥❤♦❢❡r ❋■❘❙❚ ✷✵✶✵✴✶✵✴✵✸ ✶ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ❖✉t❧✐♥❡ ■ ▼♦t✐✈❛t✐♦♥ ✶ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ✷ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ✸ ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ✹ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ✺ ❡t❝✳✮ ✷ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ●♦❛❧ ❲❤❛t ✐s s❡♣❛r❛t❡ ❝♦♠♣✐❧❛t✐♦♥❄ ❚r❛♥s❧❛t✐♦♥ ♦❢ ❛ s✐♥❣❧❡ ❝♦♠♣✐❧❛t✐♦♥ ✉♥✐t ✭❛✳❦✳❛✳ s♦✉r❝❡ ☞❧❡✮ ❛t ♦♥❝❡ ●❡♥❡r❛t✐♦♥ ♦❢ r❡✉s❛❜❧❡ ♦✉t♣✉t ☞❧❡s ✭❛✳❦✳❛✳ ♦❜❥❡❝t ☞❧❡s✮ ❉✐str✐❜✉t✐♦♥ ♦❢ ♣❛rt✐❛❧ ❝♦♠♣✐❧❛t✐♦♥ r❡s✉❧ts ✇✐t❤ ✇❡❧❧ ❞❡☞♥❡❞ ✐♥t❡r❢❛❝❡s ✭❛✳❦✳❛✳ ❧✐❜r❛r✐❡s✮ ■♥t❡❣r❛t✐♦♥ ✐♥t♦ ❡①✐st✐♥❣ ❜✉✐❧❞ s②st❡♠s ✭❡✳❣✳ ●◆❯ ♠❛❦❡✮ ✸ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ❈♦♠♣✐❧❛t✐♦♥ ❙❝❤❡♠❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ❛ ▼♦❞❡❧✐❝❛ ❝♦♠♣✐❧❛t✐♦♥ ✉♥✐t .hpp .o .o .exe .cpp .mo .o .interm ✹ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ❈♦♠♣✐❧❡ t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❊✈❡r② ✭❝✉rr❡♥t✮ ▼♦❞❡❧✐❝❛ ❈♦♠♣✐❧❡r ✐s ❛ ▼♦❞❡❧✐❝❛ ■♥t❡r♣r❡t❡r ❈♦♠♣✐❧❡✲t✐♠❡ ❋❧❛tt❡♥✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ❡☛❡❝t✐✈❡❧② ♠❡❛♥s ✐♥t❡r♣r❡t✐♥❣ ❛ ❢✉♥❝t✐♦♥❛❧ ❧❛♥❣✉❛❣❡ ✳ ✳ ✳ ✐♥st❛♥t✐❛t❡s ❡✈❡r② ♦❜❥❡❝t ✳ ✳ ✳ ❝r❡❛t❡s t❤❡ s❛♠❡ ❡①♣r❡ss✐♦♥s ❛❣❛✐♥ ❛♥❞ ❛❣❛✐♥ ✳ ✳ ✳ ♣r❡✈❡♥ts✿ ❙tr✉❝t✉r❛❧ ❞②♥❛♠✐❝s✱ ❞②♥❛♠✐❝ ❆rr❛②s ❡t❝✳ Pr♦❜❧❡♠✦ ▼♦❞❡❧✐❝❛ ❚✉r✐♥❣✲❝♦♠♣❧❡t❡ ✦ ❈♦♠♣✐❧❡r ♠✐❣❤t ♥♦t t❡r♠✐♥❛t❡✦ ✺ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ❙♣❛❝❡ ❲❛st❡ 60000 Dymola binary size 50000 40000 Output size (kB) 30000 20000 10000 0 0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000 Instances of BouncingBall ✻ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ❉♦✐♥❣ ✐t t❤❡ ♦t❤❡r ✇❛② ❛r♦✉♥❞ ■♥st❛♥t✐❛t✐♦♥ ❛❢t❡r ❝♦♠♣✐❧❛t✐♦♥✦ Code Flattening/ Execution Causalization Generation Instantiation ❲✐t❤ t❤✐s✱ ▼♦❞❡❧✐❝❛ ❤❛s ❛ ♦♣❡r❛t✐♦♥❛❧ s❡♠❛♥t✐❝s ❧✐❦❡ ❛♥② ♦t❤❡r ❖❖ ❧❛♥❣✉❛❣❡✳ ✼ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
▼♦t✐✈❛t✐♦♥ ❙t❡♣ ♦♥❡✿ ❘✉♥t✐♠❡ ✐♥st❛♥t✐❛t✐♦♥ ❙t❡♣ t✇♦✿ ❈♦❡r❝✐♦♥s ❙t❡♣ t❤r❡❡✿ ❘❡s♦❧✈❡ ❞②♥❛♠✐❝ ❜✐♥❞✐♥❣ ❙t❡♣ ❢♦✉r✿ ❝♦✈❡r ♠♦r❡ ❧❛♥❣✉❛❣❡ ❢❡❛t✉r❡s ✭❡①♣❛♥❞❛❜❧❡ ❝♦♥♥❡❝t♦rs ❡t❝✳✮ ▼♦❞❡❧✐❝❛ ❆❜str❛❝t ▼❛❝❤✐♥❡ ▼♦❞❡❧✐❝❛ ❆❜str❛❝t ▼❛❝❤✐♥❡ ✲ ❙❦❡t❝❤ ❈r❡❛t❡ ❛ r✉♥t✐♠❡ t②♣❡ ❢♦r ❊q✉❛t✐♦♥s ❛♥❞ ❱❛r✐❛❜❧❡s ❈♦♠♣✐❧❡ ❡✈❡r② ▼♦❞❡❧ ✐♥t♦ ❛ ❢✉♥❝t♦♥ ❢ ✿ ✭❬ ❊q✉❛t✐♦♥ ❪ ❀ ❬ ❱ ❛r✐❛❜❧❡ ❪✮ ❆❞❞ ❝❧❛ss ♣❛r❛♠❡tr✐③❛t✐♦♥✿ ❢ ✿ ☛ ✦ ✭❬ ❊q✉❛t✐♦♥ ❪ ❀ ❬ ❱ ❛r✐❛❜❧❡ ❪✮ ❋♦r♠❛❧❧② ❞❡☞♥❡ t❤❡ ✐♥st❛♥t✐❛t✐♦♥ ♦❢ ♠♦❞❡❧s ❜② ❢✉♥❝t✐♦♥ ❡✈❛❧✉❛t✐♦♥ ✽ ❈❤r✐st♦♣❤ ❍⑧ ♦❣❡r✱ P❡t❡r P❡♣♣❡r✱ ❋❧♦r✐❛♥ ▲♦r❡♥③❡♥ ❋♦✉r ❙t❡♣s t♦ t❤❡ ❙❡♣❛r❛t❡ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ▼♦❞❡❧✐❝❛
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