Does software, and/or perhaps an actual device, exist that will give you the possible schematics of an analog circuit from measurements of the circuit?
Electronic – Does software exists that will give you the possible schematics of an analog circuit
schematics
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The physical pin-outs of all "555" devices that I know of are the same.
In general, schematic symbols are generated to match the standards and/or prefernces of the organization or engineer that is using the component. Sometimes, a PCB designer creates the schematiic symbol in any way that seems fit. Many times a designer will use whatever schematic symbol they can find in a manufacturer or third party library.
Some like to make the symbols match the manufacturer data sheet. Others like to make the symbols match the physical pinout (so they can visualize a layout while looking at the schematic or, when debugging, figure out what pin to probe more quickly). Some will arrange symbols to have inputs on the left and outputs on the right. Some organizations allow pins on the top and bottom of symbols, some don't, and some only allow power and ground pins. Some symbols (for digital devices and op-amps etc.) are drawn without power or ground pins; these pins are "globally" connected to the power rails.
In my opinion, many of these standards do not make sense for many chips. In my mind, a schematic should show the "scheme" of the circuit; accurately capturing design intent and allowing easy design analysis.
The bottom line is that you may see as many schematic symbols for a part as there are engineers to create the 'perfect" symbol.
I'll take a guess though I don't know for sure. The key words here are publication quality and professor. LaTex does a very nice job when used in conjuction with CircuitTikZ. LaTex is very much used for typesetting documents in the university setting.
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Best Answer
If you start from a specifcation rather than a measurement, what you're describing is called circuit synthesis.
Synthesis is very common in digital design, where we usually work by making a description of the hardware behavior in a hardware description language and then using a synthesis tool to produce a digital logic circuit to implement that behavior.
In analog design, it's also possible to at least design subcircuits or circuit blocks using synthesis.
For example, Genesys is a software package from Keysight that can synthesize filters for RF frequencies.
For lower frequencies, some chip vendors provide web tools to generate circuits using their chips to provide certain functions. TI's WeBench is probably the most prominent of these, used to produce switching power supply designs or op-amp active filters.