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The threshold at which the program will switch between 3-step and 5-step is a carefully tuned value based on the 2TB RPM desktop hard drives that were available at the time when this part of the program that was written.
Because of the massive amount of ram that was available 96 GBonly the largest Task 1 sat2 2 trillion x 2 trillion digits or more used the 5-step method. In actuality, we had GB of ram at our disposal which is enough to completely eliminate the need for the 5-step methodbut due to restrictions in hardware specifications, GB of ram would have run at a lower clock speed.
With respect to the size of our computation 5 trillion digits and our hardware configuration 16 hard drivesit was found that GB of ram is near the point of diminishing return for memory quantity. Therefore, additional memory clock speed provided more benefit than additional memory quantity.
If we used only 48 GB of ram we could have run the memory at an even faster MHz. But 48 GB of ram was found to be less than optimal.
Due to the memory intensive nature of the computation, the total amount of memory here is important - which seems to matter more than the speed of the CPU. Although GB is at the point of dimishing return, 48 GB is the exact opposite. We estimate that clocking the CPU to 3.
But it was found out later that, despite what EVGA officials stated, the motherboard is in fact capable of supporting up to 96 GB of ram.
The disk multiplication described here has been present in y-cruncher since v0. No particular optimizations are done. These are the least optimized parts of the program and there is plenty of room for improvement.
The following lists the major improvements that are NOT used: Middle Product extraction for the multiply-back step.
Combine reciprocal and final multiply for division to reduce redundancy. Reuse redundant transforms for FFT-based multiplication.
The implementations for Division and Square Root that are used in y-cruncher have been virtually untouched since v0. Radix Conversion The final radix conversion from base 16 to base 10 was done using Scaled Remainder Trees. This is the same algorithm that Fabrice Bellard used in his computation of 2.
The only difference was that the Middle Product optimizations were not used. The radix conversion is automatically verified at the end of each computation for two purposes.
For world record attempts: Ensure correctness without the need for a second conversion. To catch that any computation errors that fail to propagate to the last digits. This verification is done after the digits have already been written to disk.My Leadership Style Analysis WGU Leadership SAT2 Task 1 My Leadership Style Analysis A1.
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