Dissolve salt in a bowl of water; add bitter melon. Let soak for 5 minutes. Drain.
Combine bitter melon, eggplant, onion, asparagus, celery, red bell pepper, yellow bell pepper, and garlic in a microwave pressure cooker. Mix in tomato sauce, olive oil, basil, oregano, and thyme.
Cook in the microwave at 600W for 7 minutes.
Release pressure according to manufacturer's instructions. Mix well; season with salt and pepper.