import matplotlib.pyplot as plt import results_h48 import results_vcube # Table sizes in bytes sizes_h48 = { 6: 1897951528, 7: 3793842344, 8: 7585624040, 9: 15169187432, 10: 30336314216, 11: 60670567784, } sizes_vcube = { 112: 2603089920, 208: 7809269760, 308: 22777036800, 404: 34165555200, 212: 62474158080, } # Printing tables in markdown format def print_row(solver_name, solver_size, dict, mul_by_size, superflip_star): if dict is None: return solver_gib = solver_size / (2**30) m = solver_gib if mul_by_size else 1 s = " (a) " if superflip_star else " " cols = [f"{solver_name: <10}", f"{solver_gib:>4.1f} GiB"] + [ f"{dict[key]*m/25:>8.2f}" if key in dict else " " for key in [17, 18, 19, 20] ] + [ f"{dict["superflip"]*m:>9.2f}" if "superflip" in dict else s ] sep = "|" print(sep + sep.join(cols) + sep) def print_table(h48, vcube, ms, st): vcube = vcube or {} print("| Solver | Size |17 moves|18 moves|19 moves|20 moves|Superflip|") print("|:---------|:-------|-------:|-------:|-------:|-------:|--------:|") print_row("vcube 212", sizes_vcube[212], vcube.get(212), ms, not st) print_row("H48 h11", sizes_h48[11], h48[11], ms, False) print_row("vcube 404", sizes_vcube[404], vcube.get(404), ms, not st) print_row("H48 h10", sizes_h48[10], h48[10], ms, False) print_row("vcube 308", sizes_vcube[308], vcube.get(308), ms, not st) print_row("H48 h9", sizes_h48[9], h48[9], ms, False) print_row("vcube 208", sizes_vcube[208], vcube.get(208), ms, not st) print_row("H48 h8", sizes_h48[8], h48[8], ms, False) print_row("H48 h7", sizes_h48[7], h48[7], ms, False) print_row("vcube 112", sizes_vcube[112], vcube.get(112), ms, not st) print_row("H48 h6", sizes_h48[6], h48[6], ms, False) print("
Single solution, single thread") print() print("Time per cube (in seconds, lower is better).") print() print_table(results_h48.h48_single_thread, results_vcube.vcube_single_thread, False, True) print() print("Time per cube adjusted for table size (in seconds \\* GiB, lower is better).") print() print_table(results_h48.h48_single_thread, results_vcube.vcube_single_thread, True, True) print() print( '\n' '\n' '\n' '' ) print("
") print() print("
Single solution, 4 threads") print() print("Time per cube (in seconds, lower is better).") print() print_table(results_h48.h48_4_threads, results_vcube.vcube_4_threads, False, False) print() print("Time per cube adjusted for table size (in seconds \\* GiB, lower is better).") print() print_table(results_h48.h48_4_threads, results_vcube.vcube_4_threads, True, False) print() print("(a) vcube cannot parallelize on a single scramble, the results for the") print("superflip are going to be the same as in the single thread case.") print() print( '\n' '\n' '\n' '' ) print("
") print() print("
Single solution, 16 threads") print() print("Time per cube (in seconds, lower is better).") print() print_table(results_h48.h48_16_threads, results_vcube.vcube_16_threads, False, False) print() print("Time per cube adjusted for table size (in seconds \\* GiB, lower is better).") print() print_table(results_h48.h48_16_threads, results_vcube.vcube_16_threads, True, False) print() print("(a) vcube cannot parallelize on a single scramble, the results for the") print("superflip are going to be the same as in the single thread case.") print() print( '\n' '\n' '\n' '' ) print("
") print() print("
All solutions, 16 threads") print() print("*Note: vcube does not have an option for finding multiple solutions.*") print() print("Time per cube (in seconds, lower is better).") print() print_table(results_h48.h48_all_solutions, None, False, False) print() print("Time per cube adjusted for table size (in seconds \\* GiB, lower is better).") print() print_table(results_h48.h48_all_solutions, None, True, False) print() print("
") # Plotting def plot(title, hd, vd, key): d = 1 if key == "superflip" else 25 h48x = [sizes_h48[m]/(2**30) for m in hd.keys() if key in hd[m]] vcubex = [sizes_vcube[m]/(2**30) for m in vd.keys() if key in vd[m]] h48y = [d[key] for _, d in hd.items() if key in d] vcubey = [d[key] for _, d in vd.items() if key in d] plt.clf() plt.title(title) plt.xlabel("Table size (GiB)") plt.ylabel("Time to solve (s / cube)") plt.plot(h48x, h48y, "o--", label = "H48") plt.plot(vcubex, vcubey, "o--", label = "vcube") plt.legend(loc = "right") filename = title.replace(" ", "").replace(",", "") + ".png" plt.savefig("benchmarks/img/" + filename, dpi=300) #plt.show() rh, rv = results_h48.h48_single_thread, results_vcube.vcube_single_thread for m in [17, 18, 19, 20]: plot(f"{m} moves 1 thread", rh, rv, m) rh, rv = results_h48.h48_4_threads, results_vcube.vcube_4_threads for m in [17, 18, 19, 20]: plot(f"{m} moves 4 threads", rh, rv, m) rh, rv = results_h48.h48_16_threads, results_vcube.vcube_16_threads for m in [17, 18, 19, 20]: plot(f"{m} moves 16 threads", rh, rv, m)