“What’s with you? What’s that thing called? Um…Tree Diagram, was it? Hah, are you the kind of person that can’t stand it when a machine beats a human at chess?”
Simply put, Tree Diagram was the world’s smartest super computer. It was the ultimate simulator created under the pretext of being a perfect weather forecaster.
Weather forecasting may sound familiar, but that was a field where things could only be forecasted. They could not be declared as fact. Because the movements of each of the air particles that created “weather” were incredibly complex and intertwined with the butterfly effect and chaos theory, one could say that there was an 80% chance of rain the next day, but one could not say that it would definitely rain at 9:10:00 AM. That started to enter into the realm of quantum mechanics.
However, Tree Diagram had moved weather forecasting to weather predicting.
It did not do anything complicated. Basically, if it could perfectly predict the movements of every particle in the air around the world, there was only one answer it could come up with.
Tree Diagram had ridiculous enough specs to do that, but some people theorized that its use for weather forecasting was just a front and it actually had some other true use.
Incidentally, there was one irregular aspect of Tree Diagram’s weather forecasts.
It calculated the weather forecast for an entire month all at once.
There was no real problem with that because it was still accurate, but it still seemed like unnecessary effort. After all, next month’s weather was much, much more likely to be off than tomorrow’s weather. If the goal was accurate weather forecasts, it would be better to redo the calculations each day.
Yet the Tree Diagram used the more difficult method.
It was rumored that the leftover time was used for research simulations.
Drug reactions, physiological reactions, electrical reactions, and all sorts of other things could be calculated by Tree Diagram and a couple of tests could confirm the answer given. Being able to create a new drug like that almost sounded crazy. According to the rumor, there were researchers that did not know how to use a test tube and who did not like touching lab rats.
A super computer with that much power had plenty of enemies. Human supremacists who hated machines could try to blow it up in a terrorist attack at any time and AI supremacists who hated people might try to sneak into the storage area for Tree Diagram to steal the technology.
In order to protect it from external enemies, Tree Diagram was currently kept in a place where human hands could not reach it.
Basically, the satellite launched by Academy City was Tree Diagram.
The fact that Academy City could privately use the kind of rocket technology that was usually only allowed by national agencies showed just how much influence Academy City had in the world.
(Well, the fact they allowed it also shows how valuable it was.)
Kamijou stared blankly up at the evening sky. Tree Diagram was orbiting outside the atmosphere even then and it was possible it would continue calculating even if the world ended.
“It’s a steel brain watching down on mankind from above, but it can’t turn on us or anything. This isn’t some cheap SF movie. It’s just like a bank ATM. It operates according to the buttons you press.”
Well, I am going to seriously try to calculate the calculation capacity of the Tree Diagram.
According to the quote and the manga, the Tree Diagram can calculate the entire month’s movement of each air particle on the planet once a month.
It is not clear how long it takes, but it is known that it is less than a day since it repeats the process daily and sends hundreds of reports per day, so it also does other calculations but I have no way of calculating them.

So for the low end I will use one day of time frame and for the high end I will use one hundredth of a day.
So there are about 1.04 × 10^44 molecules in the Earth’s atmosphere.

The Last Word
Deep breath Q: Is it true that every time we take a breath of air or swallow a mouthful of water, we consume some of the atoms breathed or swallowed by Leonardo da Vinci (as I read in a children's science book in 1960)? A: We do indeed breathe in a considerable number of molecules …
Now the number of air particles on the planet is 1.04e+44.
Documentation – Arm Developer

Now I need to know how many floating point operations it takes to measure the motion of a particle.
According to this page, we could use this formula

Particle Motion
Did you know that motion is relative? It's true! For instance... By stating that a vehicle is moving at 60 miles per hour, we are really referring to the


So need about of ~40 floating points operations to calc of the movement of one particle.
40*1.04e+44= 41.6e+44 floating points
1 day= 86400segs
1 day/100= 864 segs
Low End Tree Diagram Flops: 41.6e+44/86400= 4.8148148e+40 flops
High End Tree Diagram Flops: 41.6e+44/864= 4.8148148e+42 flops
Results:
(Low End) Tree Diagram Flops: 48 duodecillions flops
(High End) Tree Diagram Flops: 4.8 Tredecillions flops
To be honest, the Tree Diagram being a computer, I doubt it can be scaled to a character without a direct statement but maybe it's a good feat for things related to hacking