There are three different simulators for the CPU:
oldland-sim: an instruction set simulator in C and is not cycle accurate.
oldland-rtlsim: an Icarus verilog simulation, models events but can be slow.
oldland-verilatorsim: a Verilator based simulation that runs > 1MHz and is cycle accurate.
The Icarus simulation is the most accurate and includes vendor models of the SDRAM whereas the verilator model does not model SDRAM timing or configuration.