Various optimizations, Readme update, Bench script for imports

README.md

@@ -19,3 +19,75 @@ Problems:
 - Reduce memory footprint of the graph, are the UUIDs too large? 
 - Memory layout of Nodes? They should lie linearly in memory, right now probably on heap?
 - Add scaling functions
+
+## Benchmarks of graphs
+
+For graphs AB->AB^n:
+- Number of Sums should always be 1
+- Number of ComputeTaskS2 should always be (n+1)!
+- Number of ComputeTaskU should always be (n+3)
+
+Times are from my home machine: AMD Ryzen 7900X3D, 64GB DDR5 RAM @ 6000MHz
+
+```
+$ julia --project examples/import_bench.jl
+AB->AB:
+Graph:
+  Nodes: Total: 34, DataTask: 19, ComputeTaskP: 4, ComputeTaskS2: 2, ComputeTaskV: 4, ComputeTaskU: 4, ComputeTaskSum: 1
+  Edges: 37
+  Total Compute Effort: 185
+  Total Data Transfer: 102
+  Total Compute Intensity: 1.8137254901960784
+  Graph size in memory: 8.3594 KiB
+  11.362 μs (522 allocations: 29.70 KiB)
+
+AB->ABBB:
+Graph:
+  Nodes: Total: 280, DataTask: 143, ComputeTaskP: 6, ComputeTaskS2: 24, ComputeTaskV: 64, ComputeTaskU: 6, ComputeTaskSum: 1, ComputeTaskS1: 36
+  Edges: 385
+  Total Compute Effort: 2007
+  Total Data Transfer: 828
+  Total Compute Intensity: 2.4239130434782608
+  Graph size in memory: 88.2188 KiB
+  95.234 μs (4781 allocations: 270.82 KiB)
+
+AB->ABBBBB:
+Graph:
+  Nodes: Total: 7854, DataTask: 3931, ComputeTaskP: 8, ComputeTaskS2: 720, ComputeTaskV: 1956, ComputeTaskU: 8, ComputeTaskSum: 1, ComputeTaskS1: 1230
+  Edges: 11241
+  Total Compute Effort: 58789
+  Total Data Transfer: 23244
+  Total Compute Intensity: 2.5292118396145242
+  Graph size in memory: 2.0988 MiB
+  2.810 ms (136432 allocations: 7.57 MiB)
+
+AB->ABBBBBBB:
+Graph:
+  Nodes: Total: 438436, DataTask: 219223, ComputeTaskP: 10, ComputeTaskS2: 40320, ComputeTaskV: 109600, ComputeTaskU: 10, ComputeTaskSum: 1, ComputeTaskS1: 69272
+  Edges: 628665
+  Total Compute Effort: 3288131
+  Total Data Transfer: 1297700
+  Total Compute Intensity: 2.53381444093396
+  Graph size in memory: 118.4037 MiB
+  463.082 ms (7645256 allocations: 422.57 MiB)
+
+ABAB->ABAB:
+Graph:
+  Nodes: Total: 3218, DataTask: 1613, ComputeTaskP: 8, ComputeTaskS2: 288, ComputeTaskV: 796, ComputeTaskU: 8, ComputeTaskSum: 1, ComputeTaskS1: 504
+  Edges: 4581
+  Total Compute Effort: 24009
+  Total Data Transfer: 9494
+  Total Compute Intensity: 2.528860332841795
+  Graph size in memory: 891.375 KiB
+  1.155 ms (55467 allocations: 3.09 MiB)
+
+ABAB->ABC:
+Graph:
+  Nodes: Total: 817, DataTask: 412, ComputeTaskP: 7, ComputeTaskS2: 72, ComputeTaskV: 198, ComputeTaskU: 7, ComputeTaskSum: 1, ComputeTaskS1: 120
+  Edges: 1151
+  Total Compute Effort: 6028
+  Total Data Transfer: 2411
+  Total Compute Intensity: 2.5002073828287017
+  Graph size in memory: 225.0625 KiB
+  286.583 μs (13996 allocations: 804.48 KiB)
+```