Okay, DDP Hibachi guide v0.1.
First form.
Doable with 2 bombs with an aggressive approach, 3 bombs with a more-or-less completely safe one. Note that by bombs I mean shot bombs, not laser bombs (do NOT use them on the first form).
1. Point-blank his left side. The sweet spot is right under his belly and far enough to the left so that every appendage and "bulb" on the left side located on the level of his belly and below is damaged by your aura. If you're doing this correctly, you'll see all of them blinking red.
2. As soon as the appendage is destroyed move to the symmetric spot on the other side. Move further to the right without changing your vertical position when the bulb right above you starts shooting rotating sprays of bullets, so you could squeeze as much damage as possible into it.
3. Move down but stay directly under the bulb. After a couple seconds it will explode, canceling all bullets on the screen. If you did everything right you would only need to dodge no more than one intersecting grid of bullets. None if you're lucky.
4. Move to the left side and shoot the appendage until it explodes. Shoot the bulb for another 1-2 seconds then try not to harm it at all and aim for the belly. If you're not confident in your dodging abilities during this segment, don't damage the bulb directly; instead, bomb once when the horizontal lines reach you.
5. In a few seconds the second attack cycle will start. The problem with it is that the first wave of bullets is aligned so tight horizontally they're a huge pain to dodge, so one usually has to bomb there. If only the second wave was that bad it would have been possible to do away with a single bomb. So what you need to do is to point-blank the belly, wait until the wave rotates halfways and quickly switch your aim to the remaining bulb on the left. If your timing is right it will explode right as the first wave reaches you, canceling the entire first wave and most of the second.
6. Continue point-blanking the belly until the pattern is repeated, bomb when you run out of vertical room to dodge, try not to move away to the point where you're not hitting the belly anymore.
7. If you did everything right, the next wave of bullets won't reach you, or will make you dodge just a little bit. If you used the optional bomb on step #4 it won't be necessary.
Congratulations, you've beaten the first form with only two bombs spent.
Second form.
Second form has significantly more hitpoints as well as smaller hitbox and higher evasion speed, so you can more-or-less count on seeing every attack sans teh last repeated twice or more depending on your performance.
The attacks have a few important features about them. First, Hibachi is easiest to hit during the idle time before the attacks. You should abuse it as much as possible either by bombing preemptively, or using a laser bomb to time the end of his invulnerability period so you can exploit these segments to the fullest extent. Idle time increases with each attack up to the end of the cycle, where it resets (i.e. 1st to 2nd attack idle time is the shortest while 4th to 1st is the longest). Second, subsequent attack cycles almost always take less time than the initial, so keep this in mind when bombing. Third, all attacks except the fourth rapidly accelerate when Hibachi stops shooting, so keep that in mind and be ready to bomb.
1. Beginning. Stay just a hair below the middle of the screen — Hibachi never visits the bottom half so he can't smash you with his body. Use laser and mimic his movements until you get to about 10-12 hits on the counter, then back down. If you're lucky he will move close to you during this time, allowing your aura to do additional damage, thus shortening his already too long life span.
2. First attack, 2/4 on difficulty scale. Start in the middle and follow the lanes defined by blue needle bullets, while gradually moving to the bottom left corner. The bullets have wider gaps between them in the corners so you have more dodging space. Some salvos can be dodged vertical-only this way. The real danger lies at the end of the pattern when the slowdown disappears, and bullets that you haven't accounted for rush towards your position. It might be wise to bomb here, especially if you have more than one bomb left.
3. Second attack, 3/4 on difficulty scale. There are ways to do it without dying or bombing, and all of them are uncontrollable luck. Basically you have to make Hibachi drop his grenades at the sides of the screen that have scrolling space beyond the borders, and move there and back hoping that they're aligned properly. They most of the time aren't, so go for plan B: start in the center, wait for the initial wave to explode at one of the sides, preferrably the one that has scrolling space beyond, scroll to the end and dodge away from the wall — new bullets will spawn here pretty soon. Using this dodging space, dodge bullets coming from the other side and, when they inevitably corner you, bomb. If you have managed to survive the pattern for about 7-9 seconds (6-7 if you used a bomb at the end of the first attack pattern), one bomb will be enough to outlast this attack entirely, leaving you with at most an easy (comparatively) to dodge residue.
4. Third attack, 2/4 on difficulty scale. While it seems hard at first, it is actually rather calm even compared to the first one: the bullets move slower allowing you more time to find routes between them. On the other hand, I find myself bombing it more often because this attack is very prone at forming horizontally large clumps of bullets which tend to go your way as the corridor formed by the long bullets sharply changes its angle. The only advice here is to use the found routes as soon as possible and stay as close to the center as possible to avoid needless movement and hit Hibachi more often. Avoid being at the very bottom of the screen since you will be locked more often in this case.
5. Fourth attack, 1/4 on difficulty scale. My favorite one: Hibachi moves slowly and tends to stay right above, corridors are wide and bullets are slow. It's pretty intuitive if you take full advantage of the screen height and releasing laser for faster movement speed. Keep in mind that the small bees that get behind you always shoot streams of bullets when they leave the screen. Avoid damaging them with aura since the bullets will spawn just next to you, leaving you no time to dodge properly. This attack usually allows you to deal the most damage to Hibachi so avoid bombing in it for as long as possible, and use laser bomb if needs be: it has shorter duration.
6. Low HP attack, 4/4 on difficulty scale. This attack has up to 50% of luck factor involved depending on your dodging abilities. The lanes have two main properties about them. They can: 1) be contiguous or disconnected (disconnected are better because they allow more dodging space); 2) lead you away from Hibachi (which is most often the case if they're contiguous and you can't "change lanes" in case of emergency). At any rate, try to remain directly beneath Hibachi at all times and dodge to the center rather than to the side. Use laser bomb instead of shot, since it doesn't require releasing shot button and waiting until the shot disconnects. This attack will consume 6-7 bombs at minimum under average conditions, assuming you won't die with bombs in stock.
My estimate for a decent Hibachi fight would be 10–12 bombs/deaths on average, 7–10 with perfect luck.
(I would have added some screenshots, but it's far less tedious and far more graphic to record a video, which I didn't get around to doing yet.)