From igl Thu Feb 2 12:04:06 1995 From: Ian Glendinning Date: Thu, 2 Feb 95 12:04:02 GMT Message-Id: <7653.9502021204@morrells.ecs.soton.ac.uk> To: dan Subject: Sequential benchmark results Content-Type: X-sun-attachment Status: OR ---------- X-Sun-Data-Type: text X-Sun-Data-Description: text X-Sun-Data-Name: text X-Sun-Content-Lines: 5 Denis, I have attached the result files for dhrystone, whetstone, linpack and livermore below. All but dhrystone have double and single precision variants. Ian ---------- X-Sun-Data-Type: default X-Sun-Data-Name: dhrystone.res X-Sun-Content-Lines: 62 Booting root transputer...ok Dhrystone Benchmark, Version 2.1 (Language: C) Program compiled without 'register' attribute Please give the number of runs through the benchmark: Execution starts, 100000 runs through Dhrystone Execution ends Final values of the variables used in the benchmark: Int_Glob: 5 should be: 5 Bool_Glob: 1 should be: 1 Ch_1_Glob: A should be: A Ch_2_Glob: B should be: B Arr_1_Glob[8]: 7 should be: 7 Arr_2_Glob[8][7]: 100010 should be: Number_Of_Runs + 10 Ptr_Glob-> Ptr_Comp: -2147382256 should be: (implementation-dependent) Discr: 0 should be: 0 Enum_Comp: 2 should be: 2 Int_Comp: 17 should be: 17 Str_Comp: DHRYSTONE PROGRAM, SOME STRING should be: DHRYSTONE PROGRAM, SOME STRING Next_Ptr_Glob-> Ptr_Comp: -2147382256 should be: (implementation-dependent), same as above Discr: 0 should be: 0 Enum_Comp: 1 should be: 1 Int_Comp: 18 should be: 18 Str_Comp: DHRYSTONE PROGRAM, SOME STRING should be: DHRYSTONE PROGRAM, SOME STRING Int_1_Loc: 5 should be: 5 Int_2_Loc: 13 should be: 13 Int_3_Loc: 7 should be: 7 Enum_Loc: 1 should be: 1 Str_1_Loc: DHRYSTONE PROGRAM, 1'ST STRING should be: DHRYSTONE PROGRAM, 1'ST STRING Str_2_Loc: DHRYSTONE PROGRAM, 2'ND STRING should be: DHRYSTONE PROGRAM, 2'ND STRING Microseconds for one run through Dhrystone: 89.3 Dhrystones per Second: 11193.7 ---------- X-Sun-Data-Type: default X-Sun-Data-Name: whetstoned.res X-Sun-Content-Lines: 14 Booting root transputer...ok Benchmark #2 -- Double Precision Whetstone (A001) 0 0 0 0 0 1.0000E+00 -1.0000E+00 -1.0000E+00 -1.0000E+00 0 0 12000 14000 12000 -1.3190E-01 -1.8218E-01 -4.3145E-01 -4.8173E-01 1 1 14000 12000 12000 2.2103E-02 -2.7271E-02 -3.7914E-02 -8.7290E-02 2 1 345000 1 1 1.0000E+00 -1.0000E+00 -1.0000E+00 -1.0000E+00 3 1 210000 1 2 6.0000E+00 6.0000E+00 -3.7914E-02 -8.7290E-02 12 9 32000 1 2 5.8902E-01 5.8902E-01 5.8902E-01 5.8902E-01 17 5 899000 1 2 1.0000E+00 1.0000E+00 9.9994E-01 9.9994E-01 19 3 616000 1 2 3.0000E+00 2.0000E+00 3.0000E+00 -8.7290E-02 19 0 0 2 3 1.0000E+00 -1.0000E+00 -1.0000E+00 -1.0000E+00 24 5 93000 2 3 1.1892E+00 1.1892E+00 1.1892E+00 1.1892E+00 Double Whetstone KIPS 4200 ---------- X-Sun-Data-Type: default X-Sun-Data-Name: whetstones.res X-Sun-Content-Lines: 14 Booting root transputer...ok Benchmark #2 -- Single Precision Whetstone (A001) 0 0 0 0 0 1.0000E+00 -1.0000E+00 -1.0000E+00 -1.0000E+00 0 0 12000 14000 12000 -1.3190E-01 -1.8215E-01 -4.3142E-01 -4.8166E-01 1 1 14000 12000 12000 2.2094E-02 -2.7261E-02 -3.7897E-02 -8.7253E-02 1 1 345000 1 1 1.0000E+00 -1.0000E+00 -1.0000E+00 -1.0000E+00 2 1 210000 1 2 6.0000E+00 6.0000E+00 -3.7897E-02 -8.7253E-02 10 8 32000 1 2 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 14 4 899000 1 2 1.0000E+00 1.0000E+00 9.9994E-01 9.9994E-01 16 3 616000 1 2 3.0000E+00 2.0000E+00 3.0000E+00 -8.7253E-02 17 0 0 2 3 1.0000E+00 -1.0000E+00 -1.0000E+00 -1.0000E+00 20 3 93000 2 3 1.1892E+00 1.1892E+00 1.1892E+00 1.1892E+00 Single Whetstone KIPS 5002 ---------- X-Sun-Data-Type: default X-Sun-Data-Name: linpackd.res X-Sun-Content-Lines: 30 Booting root transputer...ok Please send the results of this run to: Jack J. Dongarra Computer Science Department University of Tennessee Knoxville, Tennessee 37996-1300 Fax: 615-974-8296 Internet: dongarra@cs.utk.edu norm. resid resid machep x(1) x(n) 1.25501937E+00 1.39332990E-14 2.22044605E-16 1.00000000E+00 1.00000000E+00 times are reported for matrices of order 100 dgefa dgesl total mflops unit ratio times for array with leading dimension of 201 7.979E-01 2.323E-02 8.211E-01 8.363E-01 2.392E+00 1.466E+01 7.980E-01 2.323E-02 8.212E-01 8.361E-01 2.392E+00 1.467E+01 7.976E-01 2.317E-02 8.208E-01 8.366E-01 2.391E+00 1.466E+01 7.978E-01 2.300E-02 8.208E-01 8.365E-01 2.391E+00 1.466E+01 times for array with leading dimension of 200 8.733E-01 2.502E-02 8.983E-01 7.644E-01 2.616E+00 1.604E+01 8.732E-01 2.496E-02 8.981E-01 7.646E-01 2.616E+00 1.604E+01 8.731E-01 2.496E-02 8.980E-01 7.646E-01 2.616E+00 1.604E+01 8.732E-01 2.477E-02 8.980E-01 7.647E-01 2.615E+00 1.603E+01 end of tests -- this version dated 10/12/92 ---------- X-Sun-Data-Type: default X-Sun-Data-Name: linpacks.res X-Sun-Content-Lines: 30 Booting root transputer...ok Please send the results of this run to: Jack J. Dongarra Computer Science Department University of Tennessee Knoxville, Tennessee 37996-1300 Fax: 615-974-8296 Internet: dongarra@cs.utk.edu norm. resid resid machep x(1) x(n) 1.81126487E+00 1.07958913E-05 1.19209290E-07 1.00000679E+00 1.00000238E+00 times are reported for matrices of order 100 sgefa sgesl total mflops unit ratio times for array with leading dimension of 201 7.005E-01 1.958E-02 7.201E-01 9.535E-01 2.097E+00 1.286E+01 7.005E-01 1.965E-02 7.201E-01 9.535E-01 2.097E+00 1.286E+01 7.005E-01 1.958E-02 7.201E-01 9.536E-01 2.097E+00 1.286E+01 7.005E-01 1.958E-02 7.201E-01 9.536E-01 2.097E+00 1.286E+01 times for array with leading dimension of 200 7.002E-01 1.958E-02 7.198E-01 9.540E-01 2.097E+00 1.285E+01 7.003E-01 1.958E-02 7.199E-01 9.539E-01 2.097E+00 1.285E+01 7.004E-01 1.958E-02 7.200E-01 9.537E-01 2.097E+00 1.286E+01 7.003E-01 1.956E-02 7.198E-01 9.539E-01 2.097E+00 1.285E+01 end of tests -- this version dated 10/12/92 ---------- X-Sun-Data-Type: default X-Sun-Data-Name: livermored.res X-Sun-Content-Lines: 460 ********************************************* THE LIVERMORE FORTRAN KERNELS "MFLOPS" TEST: ********************************************* >>> USE 72 SAMPLES LFK TEST RESULTS SUMMARY (line 330+) >>> USE ALL RANGE STATISTICS FOR OFFICIAL QUOTATIONS. SECOVT: 16000 0.4580E-05 1.0000 SECOVT: 32000 0.4578E-05 0.0004 VERIFY: 200 0.6400E-04 = Time Resolution of Cpu-timer VERIFY ADEQUATE Loop SIZE VERSUS CPU CLOCK ACCURACY ----- ------- ------- ------- -------- EXTRA MAXIMUM DIGITAL DYNAMIC RELATIVE Loop CPUTIME CLOCK CLOCK TIMING SIZE SECONDS ERROR ERROR ERROR ----- ------- ------- ------- -------- 256 0.3443E-01 14.52% 0.07% 0.02% 512 0.6886E-01 7.26% 0.05% 0.01% 1024 0.1377E+00 36.32% 0.02% 0.00% 2048 0.2753E+00 18.16% 0.01% 0.01% 4096 0.5505E+00 9.08% 0.00% 0.00% 8192 0.1101E+01 45.41% 0.00% 0.00% 16384 0.2202E+01 22.71% 0.00% 0.00% 32768 0.4404E+01 11.35% 0.00% 0.00% 65536 0.8808E+01 5.68% 0.00% 0.00% 136 Repetition Count = MULTI * Loops2 = 1.000 ----- ------- ------- ------- -------- CLOCK CALIBRATION TEST OF INTERNAL CPU-TIMER: SECOND MONOPROCESS THIS TEST, STANDALONE, NO TIMESHARING. VERIFY TIMED INTERVALS SHOWN BELOW USING EXTERNAL CLOCK START YOUR STOPWATCH NOW ! Verify T or DT observe external clock: ------- ------- ------ ----- Total T ? Delta T ? Mflops ? Flops ------- ------- ------ ----- 1 10.47 10.47 0.71 0.74405E+07 2 21.04 10.57 0.71 0.14881E+08 3 31.58 10.54 0.71 0.22321E+08 4 42.12 10.54 0.71 0.29762E+08 ------- ------- ------ ----- END CALIBRATION TEST. ESTIMATED TOTAL JOB CPU-TIME:= 218.125 sec. ( Nruns= 7 Trials) Trial= 1 ChkSum= 1099 Pass= 0 Fail= 0 Trial= 2 ChkSum= 1099 Pass= 1 Fail= 0 Trial= 3 ChkSum= 1099 Pass= 2 Fail= 0 Trial= 4 ChkSum= 1099 Pass= 3 Fail= 0 Trial= 5 ChkSum= 1099 Pass= 4 Fail= 0 Trial= 6 ChkSum= 1099 Pass= 5 Fail= 0 Trial= 7 ChkSum= 1099 Pass= 6 Fail= 0 1 time TEST overhead (t err): RUN AVERAGE STANDEV MINIMUM MAXIMUM TICK 1 0.264241E-05 0.219959E-09 TICK 2 0.264232E-05 0.661416E-10 TICK 3 0.264193E-05 0.256853E-09 TICK 4 0.264241E-05 0.292271E-10 TICK 5 0.264241E-05 0.219959E-09 TICK 6 0.264193E-05 0.447537E-09 TICK 7 0.264241E-05 0.219974E-09 DATA 7 0.999866E-01 0.543320E-06 0.999856E-01 0.999877E-01 DATA 7 0.999859E-01 0.862081E-06 0.999843E-01 0.999875E-01 TICK 7 0.264226E-05 0.209293E-09 0.264193E-05 0.264241E-05 THE EXPERIMENTAL TIMING ERRORS FOR ALL 7 RUNS -- --------- --------- --------- ----- ----- --- k T min T avg T max T err tick P-F -- --------- --------- --------- ----- ----- --- 1 0.2200E-01 0.2200E-01 0.2206E-01 0.10% 0.00% 0 2 0.1819E-01 0.1823E-01 0.1825E-01 0.15% 0.00% 0 3 0.1694E-01 0.1698E-01 0.1700E-01 0.16% 0.00% 0 4 0.1461E-01 0.1468E-01 0.1474E-01 0.34% 0.00% 0 5 0.2319E-01 0.2324E-01 0.2333E-01 0.20% 0.00% 0 6 0.1381E-01 0.1385E-01 0.1387E-01 0.22% 0.00% 0 7 0.2461E-01 0.2463E-01 0.2469E-01 0.10% 0.00% 0 8 0.5519E-01 0.5527E-01 0.5533E-01 0.08% 0.00% 0 9 0.3318E-01 0.3323E-01 0.3326E-01 0.07% 0.00% 0 10 0.6122E-01 0.6130E-01 0.6135E-01 0.07% 0.00% 0 11 0.1910E-01 0.1912E-01 0.1916E-01 0.14% 0.00% 0 12 0.2000E-01 0.2002E-01 0.2006E-01 0.15% 0.00% 0 13 0.8457E-01 0.8463E-01 0.8471E-01 0.06% 0.00% 0 14 0.6206E-01 0.6208E-01 0.6214E-01 0.04% 0.00% 0 15 0.1336E-01 0.1340E-01 0.1344E-01 0.22% 0.00% 0 16 0.1241E-01 0.1244E-01 0.1249E-01 0.27% 0.00% 0 17 0.2557E-01 0.2558E-01 0.2563E-01 0.08% 0.00% 0 18 0.2738E-01 0.2740E-01 0.2746E-01 0.11% 0.00% 0 19 0.2215E-01 0.2220E-01 0.2223E-01 0.15% 0.00% 0 20 0.1324E-01 0.1324E-01 0.1325E-01 0.04% 0.00% 0 21 0.1866E+00 0.1869E+00 0.1871E+00 0.09% 0.00% 0 22 0.3856E-01 0.3860E-01 0.3863E-01 0.08% 0.00% 0 23 0.2872E-01 0.2878E-01 0.2883E-01 0.12% 0.00% 0 24 0.9000E-02 0.9061E-02 0.9076E-02 0.28% 0.00% 0 -- --------- --------- --------- ----- ----- --- NET CPU TIMING VARIANCE (T err); A few % is ok: AVERAGE STANDEV MINIMUM MAXIMUM Terr 0.14% 0.08% 0.04% 0.34% 1 time TEST overhead (t err): RUN AVERAGE STANDEV MINIMUM MAXIMUM TICK 1 0.264241E-05 0.219959E-09 TICK 2 0.264232E-05 0.661416E-10 TICK 3 0.264193E-05 0.256853E-09 TICK 4 0.264241E-05 0.292271E-10 TICK 5 0.264241E-05 0.219959E-09 TICK 6 0.264193E-05 0.447537E-09 TICK 7 0.264241E-05 0.219974E-09 DATA 7 0.999866E-01 0.543320E-06 0.999856E-01 0.999877E-01 DATA 7 0.999859E-01 0.862081E-06 0.999843E-01 0.999875E-01 TICK 7 0.264226E-05 0.209293E-09 0.264193E-05 0.264241E-05 THE EXPERIMENTAL TIMING ERRORS FOR ALL 7 RUNS -- --------- --------- --------- ----- ----- --- k T min T avg T max T err tick P-F -- --------- --------- --------- ----- ----- --- 1 0.2231E-01 0.2235E-01 0.2238E-01 0.13% 0.00% 0 2 0.2173E-01 0.2175E-01 0.2180E-01 0.15% 0.00% 0 3 0.1775E-01 0.1776E-01 0.1777E-01 0.04% 0.00% 0 4 0.1395E-01 0.1396E-01 0.1397E-01 0.05% 0.00% 0 5 0.2152E-01 0.2156E-01 0.2160E-01 0.16% 0.00% 0 6 0.1481E-01 0.1485E-01 0.1488E-01 0.21% 0.00% 0 7 0.2522E-01 0.2528E-01 0.2530E-01 0.09% 0.00% 0 8 0.6628E-01 0.6633E-01 0.6640E-01 0.06% 0.00% 0 9 0.3867E-01 0.3872E-01 0.3873E-01 0.07% 0.00% 0 10 0.6844E-01 0.6848E-01 0.6851E-01 0.04% 0.00% 0 11 0.1994E-01 0.1994E-01 0.1995E-01 0.04% 0.00% 0 12 0.2017E-01 0.2022E-01 0.2025E-01 0.18% 0.00% 0 13 0.9461E-01 0.9463E-01 0.9469E-01 0.02% 0.00% 0 14 0.6093E-01 0.6098E-01 0.6107E-01 0.09% 0.00% 0 15 0.2674E-01 0.2674E-01 0.2675E-01 0.03% 0.00% 0 16 0.1418E-01 0.1420E-01 0.1424E-01 0.12% 0.00% 0 17 0.2920E-01 0.2921E-01 0.2926E-01 0.07% 0.00% 0 18 0.2732E-01 0.2736E-01 0.2739E-01 0.11% 0.00% 0 19 0.2616E-01 0.2619E-01 0.2624E-01 0.09% 0.00% 0 20 0.1953E-01 0.1959E-01 0.1961E-01 0.13% 0.00% 0 21 0.1701E+00 0.1702E+00 0.1703E+00 0.05% 0.00% 0 22 0.4905E-01 0.4907E-01 0.4912E-01 0.06% 0.00% 0 23 0.3593E-01 0.3598E-01 0.3601E-01 0.08% 0.00% 0 24 0.1057E-01 0.1060E-01 0.1065E-01 0.29% 0.00% 0 -- --------- --------- --------- ----- ----- --- NET CPU TIMING VARIANCE (T err); A few % is ok: AVERAGE STANDEV MINIMUM MAXIMUM Terr 0.10% 0.06% 0.02% 0.29% 1 time TEST overhead (t err): RUN AVERAGE STANDEV MINIMUM MAXIMUM TICK 1 0.264241E-05 0.219959E-09 TICK 2 0.264232E-05 0.661416E-10 TICK 3 0.264193E-05 0.256853E-09 TICK 4 0.264241E-05 0.292271E-10 TICK 5 0.264241E-05 0.219959E-09 TICK 6 0.264193E-05 0.447537E-09 TICK 7 0.264241E-05 0.219974E-09 DATA 7 0.999866E-01 0.543320E-06 0.999856E-01 0.999877E-01 DATA 7 0.999859E-01 0.862081E-06 0.999843E-01 0.999875E-01 TICK 7 0.264226E-05 0.209293E-09 0.264193E-05 0.264241E-05 THE EXPERIMENTAL TIMING ERRORS FOR ALL 7 RUNS -- --------- --------- --------- ----- ----- --- k T min T avg T max T err tick P-F -- --------- --------- --------- ----- ----- --- 1 0.1668E-01 0.1669E-01 0.1669E-01 0.04% 0.00% 0 2 0.1253E-01 0.1253E-01 0.1253E-01 0.00% 0.00% 0 3 0.1322E-01 0.1323E-01 0.1328E-01 0.16% 0.00% 0 4 0.8912E-02 0.8977E-02 0.8988E-02 0.30% 0.00% 0 5 0.1624E-01 0.1624E-01 0.1624E-01 0.00% 0.00% 0 6 0.1075E-01 0.1079E-01 0.1083E-01 0.32% 0.00% 0 7 0.1903E-01 0.1904E-01 0.1909E-01 0.14% 0.00% 0 8 0.4204E-01 0.4206E-01 0.4210E-01 0.06% 0.00% 0 9 0.2287E-01 0.2290E-01 0.2293E-01 0.12% 0.00% 0 10 0.4701E-01 0.4707E-01 0.4709E-01 0.05% 0.00% 0 11 0.1489E-01 0.1492E-01 0.1497E-01 0.21% 0.00% 0 12 0.1479E-01 0.1480E-01 0.1485E-01 0.14% 0.00% 0 13 0.7115E-01 0.7118E-01 0.7122E-01 0.05% 0.00% 0 14 0.4527E-01 0.4532E-01 0.4534E-01 0.05% 0.00% 0 15 0.1418E-01 0.1421E-01 0.1424E-01 0.20% 0.00% 0 16 0.1102E-01 0.1104E-01 0.1110E-01 0.23% 0.00% 0 17 0.2113E-01 0.2116E-01 0.2120E-01 0.14% 0.00% 0 18 0.2640E-01 0.2647E-01 0.2652E-01 0.16% 0.00% 0 19 0.1886E-01 0.1891E-01 0.1893E-01 0.16% 0.00% 0 20 0.1744E-01 0.1748E-01 0.1752E-01 0.20% 0.00% 0 21 0.2556E+00 0.2557E+00 0.2557E+00 0.02% 0.00% 0 22 0.3323E-01 0.3324E-01 0.3329E-01 0.06% 0.00% 0 23 0.2301E-01 0.2304E-01 0.2309E-01 0.15% 0.00% 0 24 0.8649E-02 0.8662E-02 0.8664E-02 0.06% 0.00% 0 -- --------- --------- --------- ----- ----- --- NET CPU TIMING VARIANCE (T err); A few % is ok: AVERAGE STANDEV MINIMUM MAXIMUM Terr 0.13% 0.09% 0.00% 0.32% 1 ******************************************** THE LIVERMORE FORTRAN KERNELS: * SUMMARY * ******************************************** Computer : PARSYS SN 9400SP System : SunOS 4.1.3 Compiler : ACE FORTRAN 77 Date : 95.02.01 Testor : Ian Glendinning When the computer performance range is very large the net Mflops rate of many Fortran programs and workloads will be in the sub-range between the equi- weighted Harmonic and Arithmetic means depending on the degree of code parallelism and optimization. The least biased central measure is the Geometric Mean of 72 rates, quoted +- a standard deviation. Mean Mflops rates imply the average efficiency of a computing system since the peak rate is well known. LFK test measures a lower bound for a Multi-processor and N * LFK rates project an upper bound for N-procs. KERNEL FLOPS MICROSEC MFLOP/SEC SPAN WEIGHT CHECK-SUMS OK ------ ----- -------- --------- ---- ------ ---------------------- -- 1 3.0240E+04 1.6687E+04 1.8122 27 1.00 2.6985731517464728E+02 16 2 1.6192E+04 1.2527E+04 1.2926 15 1.00 2.7673078908321412E+02 16 3 1.5984E+04 1.3232E+04 1.2080 27 1.00 1.8895163625244704E+00 16 4 9.1200E+03 8.9773E+03 1.0159 27 1.00 4.1994754168317234E+00 16 5 1.6640E+04 1.6240E+04 1.0247 27 1.00 2.2278306739132379E+01 16 6 8.0640E+03 1.0791E+04 0.7473 8 1.00 7.8421657542696117E+00 15 7 5.3760E+04 1.9045E+04 2.8228 21 1.00 1.9920041523508166E+02 16 8 6.7392E+04 4.2061E+04 1.6022 14 1.00 2.0723805675125019E+04 16 9 5.3040E+04 2.2898E+04 2.3163 15 1.00 1.8367779226119754E+04 16 10 2.7000E+04 4.7074E+04 0.5736 15 1.00 1.1559038593887853E+04 16 11 9.5680E+03 1.4923E+04 0.6412 27 1.00 4.5858129350920399E+03 16 12 9.9840E+03 1.4798E+04 0.6747 26 1.00 1.3604051867913136E-05 16 13 1.3888E+04 7.1176E+04 0.1951 8 1.00 2.9006637726423877E+08 16 14 1.9008E+04 4.5324E+04 0.4194 27 1.00 1.6085943722637514E+07 15 15 1.8480E+04 1.4208E+04 1.3006 15 1.00 7.7629810169434950E+03 16 16 1.2320E+04 1.1037E+04 1.1163 15 1.00 1.8144000000000000E+04 16 17 2.8080E+04 2.1159E+04 1.3271 15 1.00 2.0631580330125522E+02 16 18 4.5760E+04 2.6468E+04 1.7288 14 1.00 6.7904523486359285E+03 16 19 2.0160E+04 1.8906E+04 1.0663 15 1.00 8.8776148863570242E+01 15 20 3.7856E+04 1.7478E+04 2.1659 26 1.00 4.1913992746327112E+03 16 21 2.0000E+05 2.5567E+05 0.7823 20 1.00 1.8407065791133451E+06 16 22 1.6320E+04 3.3239E+04 0.4910 15 1.00 1.7742214521202217E+02 0 23 4.0040E+04 2.3043E+04 1.7376 14 1.00 3.3952384219249789E+03 16 24 4.7840E+03 8.6622E+03 0.5523 27 1.00 9.1000000000000000E+01 16 1 4.0400E+04 2.2350E+04 1.8076 101 2.00 3.6773413452565801E+03 16 2 3.1040E+04 2.1752E+04 1.4270 101 2.00 1.0778052681678693E+04 16 3 2.1412E+04 1.7760E+04 1.2056 101 2.00 7.0681900560526625E+00 16 4 1.6800E+04 1.3960E+04 1.2034 101 2.00 4.1994754168317234E+00 16 5 2.2000E+04 2.1557E+04 1.0205 101 2.00 3.2123223577206875E+02 16 6 1.3440E+04 1.4853E+04 0.9049 32 2.00 6.0421729517332471E+02 16 7 7.1104E+04 2.5278E+04 2.8128 101 2.00 4.4419104210488395E+03 16 8 8.5536E+04 6.6328E+04 1.2896 100 2.00 1.0508876039380585E+06 16 9 7.2114E+04 3.8716E+04 1.8627 101 2.00 8.3261052698248636E+05 15 10 3.4542E+04 6.8477E+04 0.5044 101 2.00 5.1172588490277075E+05 16 11 1.2800E+04 1.9945E+04 0.6418 101 2.00 2.4034922852330303E+05 16 12 1.3600E+04 2.0216E+04 0.6727 100 2.00 4.9892983915750255E-05 16 13 1.8368E+04 9.4634E+04 0.1941 32 2.00 1.6263466726500058E+09 15 14 2.2220E+04 6.0982E+04 0.3644 101 2.00 2.0945010070628381E+08 15 15 3.3000E+04 2.6743E+04 1.2340 101 2.00 2.7606716832464293E+05 16 16 1.5120E+04 1.4200E+04 1.0648 40 2.00 2.2967000000000000E+04 16 17 3.6360E+04 2.9210E+04 1.2448 101 2.00 7.8024924103174017E+03 16 18 4.3560E+04 2.7364E+04 1.5919 100 2.00 3.4525707060715364E+05 16 19 2.7876E+04 2.6186E+04 1.0645 101 2.00 3.7952718721030451E+03 16 20 4.1600E+04 1.9591E+04 2.1234 100 2.00 2.1883436251708021E+05 16 21 1.2500E+05 1.7018E+05 0.7345 50 2.00 3.2830905285980026E+06 16 22 2.4038E+04 4.9068E+04 0.4899 101 2.00 8.5331602253525671E+03 0 23 5.4450E+04 3.5980E+04 1.5134 100 2.00 2.2596732028716130E+05 16 24 6.2000E+03 1.0595E+04 0.5852 101 2.00 3.5000000000000000E+02 16 1 3.5035E+04 2.2004E+04 1.5922 1001 1.00 3.5802568852572696E+05 16 2 2.5996E+04 1.8231E+04 1.4259 101 1.00 1.0778052681678693E+04 16 3 1.8018E+04 1.6981E+04 1.0611 1001 1.00 7.0052001814645450E+01 15 4 1.6800E+04 1.4677E+04 1.1447 1001 1.00 4.1994754168317234E+00 16 5 2.0000E+04 2.3236E+04 0.8607 1001 1.00 3.1842101496710871E+04 16 6 1.1904E+04 1.3847E+04 0.8597 64 1.00 3.0625814413109896E+04 16 7 6.3680E+04 2.4632E+04 2.5852 995 1.00 4.2729757526223321E+05 16 8 7.1280E+04 5.5273E+04 1.2896 100 1.00 1.0508876039380585E+06 16 9 6.1812E+04 3.3234E+04 1.8599 101 1.00 8.3261052698248636E+05 15 10 3.0906E+04 6.1296E+04 0.5042 101 1.00 5.1172588490277075E+05 16 11 1.1000E+04 1.9118E+04 0.5754 1001 1.00 2.3400376808550769E+08 16 12 1.2000E+04 2.0025E+04 0.5993 1000 1.00 2.0349989059170737E-04 16 13 1.6128E+04 8.4626E+04 0.1906 64 1.00 3.1281188190985880E+09 15 14 2.2022E+04 6.2080E+04 0.3547 1001 1.00 2.2155043777389236E+10 16 15 1.6500E+04 1.3403E+04 1.2311 101 1.00 2.7606716832464293E+05 16 16 1.3250E+04 1.2439E+04 1.0652 75 1.00 2.0307000000000000E+04 16 17 3.1815E+04 2.5577E+04 1.2439 101 1.00 8.5893901579183530E+03 16 18 4.3560E+04 2.7404E+04 1.5896 100 1.00 3.4525707060715364E+05 16 19 2.3634E+04 2.2203E+04 1.0645 101 1.00 3.7952718721030451E+03 16 20 2.6000E+04 1.3239E+04 1.9638 1000 1.00 2.1284510375458673E+08 16 21 1.2625E+05 1.8694E+05 0.6754 101 1.00 7.8114860409015659E+06 16 22 1.8887E+04 3.8602E+04 0.4893 101 1.00 8.5331602253525671E+03 0 23 4.3560E+04 2.8781E+04 1.5135 100 1.00 2.1972109516945403E+05 16 24 5.0000E+03 9.0611E+03 0.5518 1001 1.00 3.5000000000000000E+03 16 ------ ----- -------- --------- ---- ------ ---------------------- -- 72 0.2421E+07 0.2548E+07 0.9501 167 1095 MFLOPS RANGE: REPORT ALL RANGE STATISTICS: Mean DO Span = 167 Code Samples = 72 Maximum Rate = 2.8228 Mega-Flops/Sec. Quartile Q3 = 1.4702 Mega-Flops/Sec. Average Rate = 1.1461 Mega-Flops/Sec. GEOMETRIC MEAN = 1.0000 Mega-Flops/Sec. Median Q2 = 1.0652 Mega-Flops/Sec. Harmonic Mean = 0.7972 Mega-Flops/Sec. Quartile Q1 = 0.6415 Mega-Flops/Sec. Minimum Rate = 0.1906 Mega-Flops/Sec. Standard Dev. = 0.6017 Mega-Flops/Sec. Avg Efficiency = 35.43% Program & Processor Mean Precision = 15.21 Decimal Digits <<<<<<<<<<<<<<<<<<<<<<<<<<<*>>>>>>>>>>>>>>>>>>>>>>>>>>> < BOTTOM-LINE: 72 SAMPLES LFK TEST RESULTS SUMMARY. > < USE RANGE STATISTICS ABOVE FOR OFFICIAL QUOTATIONS. > <<<<<<<<<<<<<<<<<<<<<<<<<<<*>>>>>>>>>>>>>>>>>>>>>>>>>>> 1 1 SENSITIVITY ANALYSIS The sensitivity of the harmonic mean rate (Mflops) to various weightings is shown in the table below. Seven work distributions are generated by assigning two distinct weights to ranked kernels by quartiles. Forty nine possible cpu workloads are then evaluated using seven sets of values for the total weights: ------ ------ ------ ------ ------ ------ ------ 1st QT: O O O O O X X 2nd QT: O O O X X X O 3rd QT: O X X X O O O 4th QT: X X O O O O O ------ ------ ------ ------ ------ ------ ------ Total Weights Net Mflops: X O ---- ---- 1.00 0.00 0.39 0.54 0.85 1.02 1.26 1.51 1.90 0.95 0.05 0.41 0.56 0.85 0.99 1.21 1.39 1.74 0.90 0.10 0.42 0.58 0.85 0.96 1.17 1.28 1.60 0.80 0.20 0.46 0.62 0.84 0.92 1.09 1.11 1.39 0.70 0.30 0.49 0.67 0.83 0.87 1.02 0.98 1.22 0.60 0.40 0.54 0.73 0.82 0.83 0.96 0.88 1.09 0.50 0.50 0.59 0.80 0.81 0.80 0.91 0.80 0.99 ---- ---- ------ ------ ------ ------ ------ ------ ------ SENSITIVITY OF NET MFLOPS RATE TO USE OF OPTIMAL FORTRAN CODE(SISD/SIMD MODEL) 0.54 0.63 0.76 0.95 1.09 1.27 1.53 1.70 1.91 0.00 0.20 0.40 0.60 0.70 0.80 0.90 0.95 1.00 Fraction Of Operations Run At Optimal Fortran Rates 1 TABLE OF SPEED-UP RATIOS OF MEAN RATES (72 Samples) Arithmetic, Geometric, Harmonic Means (AM,GM,HM) The Geometric Mean is the least biased statistic. -------- ---- ------ -------- -------- -------- -------- -------- -------- SYSTEM MEAN MFLOPS SX-3/14 VP2600 Y16/1C90 6000/560 9000/730 PARSYS S -------- ---- ------ -------- -------- -------- -------- -------- -------- NEC AM= 311.820 : 1.000 1.054 1.636 11.485 17.030 272.082 SX-3/14 GM= 95.590 : 1.000 1.028 1.108 4.730 6.081 95.590 F77v.012 HM= 38.730 : 1.000 0.916 0.951 2.667 2.916 48.582 SD= 499.780 FUJITSU AM= 295.790 : 0.949 1.000 1.552 10.895 16.155 258.095 VP2600 GM= 93.030 : 0.973 1.000 1.078 4.603 5.918 93.030 F77 V12 HM= 42.260 : 1.091 1.000 1.038 2.910 3.182 53.010 SD= 514.490 CRAY AM= 190.560 : 0.611 0.644 1.000 7.019 10.407 166.275 Y16/1C90 GM= 86.270 : 0.903 0.927 1.000 4.269 5.488 86.270 CF77 5.0 HM= 40.730 : 1.052 0.964 1.000 2.805 3.067 51.091 SD= 227.250 IBM AM= 27.150 : 0.087 0.092 0.142 1.000 1.483 23.690 6000/560 GM= 20.210 : 0.211 0.217 0.234 1.000 1.286 20.210 XLF 2.2. HM= 14.520 : 0.375 0.344 0.356 1.000 1.093 18.214 SD= 20.150 HP AM= 18.310 : 0.059 0.062 0.096 0.674 1.000 15.977 9000/730 GM= 15.720 : 0.164 0.169 0.182 0.778 1.000 15.720 f77 8.05 HM= 13.280 : 0.343 0.314 0.326 0.915 1.000 16.658 SD= 9.680 PARSYS S AM= 1.146 : 0.004 0.004 0.006 0.042 0.063 1.000 PARSYS S GM= 1.000 : 0.010 0.011 0.012 0.049 0.064 1.000 ACE FORT HM= 0.797 : 0.021 0.019 0.020 0.055 0.060 1.000 SD= 0.602 1 Version: 22/DEC/86 mf528 6094 CHECK FOR CLOCK CALIBRATION ONLY: Total Job Cpu Time = 2.49038E+02 Sec. Total 24 Kernels Time = 1.78392E+01 Sec. Total 24 Kernels Flops= 1.69491E+07 Flops ---------- X-Sun-Data-Type: default X-Sun-Data-Name: livermores.res X-Sun-Content-Lines: 460 ********************************************* THE LIVERMORE FORTRAN KERNELS "MFLOPS" TEST: ********************************************* >>> USE 72 SAMPLES LFK TEST RESULTS SUMMARY (line 330+) >>> USE ALL RANGE STATISTICS FOR OFFICIAL QUOTATIONS. SECOVT: 16000 0.4092E-05 1.0000 SECOVT: 32000 0.4090E-05 0.0005 VERIFY: 200 0.6400E-04 = Time Resolution of Cpu-timer VERIFY ADEQUATE Loop SIZE VERSUS CPU CLOCK ACCURACY ----- ------- ------- ------- -------- EXTRA MAXIMUM DIGITAL DYNAMIC RELATIVE Loop CPUTIME CLOCK CLOCK TIMING SIZE SECONDS ERROR ERROR ERROR ----- ------- ------- ------- -------- 256 0.3059E-01 16.35% 0.00% 0.03% 512 0.6118E-01 8.17% 0.04% 0.01% 1024 0.1224E+00 40.86% 0.02% 0.00% 2048 0.2447E+00 20.44% 0.01% 0.00% 4096 0.4893E+00 10.22% 0.01% 0.01% 8192 0.9786E+00 5.11% 0.00% 0.00% 16384 0.1957E+01 25.55% 0.00% 0.00% 32768 0.3914E+01 12.77% 0.00% 0.00% 65536 0.7828E+01 6.39% 0.00% 0.00% 136 Repetition Count = MULTI * Loops2 = 1.000 ----- ------- ------- ------- -------- CLOCK CALIBRATION TEST OF INTERNAL CPU-TIMER: SECOND MONOPROCESS THIS TEST, STANDALONE, NO TIMESHARING. VERIFY TIMED INTERVALS SHOWN BELOW USING EXTERNAL CLOCK START YOUR STOPWATCH NOW ! Verify T or DT observe external clock(sec): ------- ------- ------ ----- Total T ? Delta T ? Mflops ? Flops ------- ------- ------ ----- 1 9.77 9.77 0.86 0.83717E+07 2 19.63 9.85 0.85 0.16743E+08 3 29.47 9.84 0.85 0.25115E+08 4 39.31 9.84 0.85 0.33487E+08 ------- ------- ------ ----- END CALIBRATION TEST. ESTIMATED TOTAL JOB CPU-TIME:= 186.577 sec. ( Nruns= 7 Trials) Trial= 1 ChkSum= 336 Pass= 0 Fail= 0 Trial= 2 ChkSum= 336 Pass= 1 Fail= 0 Trial= 3 ChkSum= 336 Pass= 2 Fail= 0 Trial= 4 ChkSum= 336 Pass= 3 Fail= 0 Trial= 5 ChkSum= 336 Pass= 4 Fail= 0 Trial= 6 ChkSum= 336 Pass= 5 Fail= 0 Trial= 7 ChkSum= 336 Pass= 6 Fail= 0 1 time TEST overhead (t err): RUN AVERAGE STANDEV MINIMUM MAXIMUM TICK 1 0.253801E-05 0.476713E-09 TICK 2 0.253801E-05 0.476713E-09 TICK 3 0.253801E-05 0.476803E-09 TICK 4 0.253801E-05 0.286231E-09 TICK 5 0.253839E-05 0.952696E-10 TICK 6 0.253801E-05 0.286036E-09 TICK 7 0.253801E-05 0.476803E-09 DATA 7 0.999774E-01 0.923434E-05 0.999856E-01 0.999877E-01 DATA 7 0.100021E+00 0.349809E-04 0.999843E-01 0.999875E-01 TICK 7 0.253807E-05 0.133509E-09 0.253801E-05 0.253839E-05 THE EXPERIMENTAL TIMING ERRORS FOR ALL 7 RUNS -- --------- --------- --------- ----- ----- --- k T min T avg T max T err tick P-F -- --------- --------- --------- ----- ----- --- 1 0.1777E-01 0.1779E-01 0.1783E-01 0.16% 0.00% 0 2 0.1588E-01 0.1588E-01 0.1589E-01 0.05% 0.00% 0 3 0.1302E-01 0.1303E-01 0.1303E-01 0.06% 0.00% 0 4 0.1205E-01 0.1206E-01 0.1212E-01 0.21% 0.00% 0 5 0.1814E-01 0.1819E-01 0.1820E-01 0.13% 0.00% 0 6 0.1169E-01 0.1170E-01 0.1171E-01 0.06% 0.00% 0 7 0.1842E-01 0.1845E-01 0.1848E-01 0.16% 0.00% 0 8 0.3958E-01 0.3964E-01 0.3966E-01 0.06% 0.00% 0 9 0.2339E-01 0.2343E-01 0.2346E-01 0.15% 0.00% 0 10 0.4535E-01 0.4537E-01 0.4541E-01 0.06% 0.00% 0 11 0.1584E-01 0.1584E-01 0.1585E-01 0.04% 0.00% 0 12 0.1622E-01 0.1622E-01 0.1623E-01 0.05% 0.00% 0 13 0.8111E-01 0.8112E-01 0.8113E-01 0.01% 0.00% 0 14 0.5425E-01 0.5426E-01 0.5427E-01 0.01% 0.00% 0 15 0.1049E-01 0.1049E-01 0.1049E-01 0.00% 0.00% 0 16 0.1067E-01 0.1069E-01 0.1069E-01 0.06% 0.00% 0 17 0.2051E-01 0.2054E-01 0.2058E-01 0.18% 0.00% 0 18 0.2193E-01 0.2197E-01 0.2201E-01 0.16% 0.00% 0 19 0.1825E-01 0.1826E-01 0.1827E-01 0.04% 0.00% 0 20 0.9469E-02 0.9513E-02 0.9530E-02 0.29% 0.00% 0 21 0.1467E+00 0.1468E+00 0.1469E+00 0.05% 0.00% 0 22 0.3319E-01 0.3319E-01 0.3319E-01 0.00% 0.00% 0 23 0.2320E-01 0.2323E-01 0.2328E-01 0.14% 0.00% 0 24 0.8315E-02 0.8365E-02 0.8376E-02 0.25% 0.00% 0 -- --------- --------- --------- ----- ----- --- NET CPU TIMING VARIANCE (T err); A few % is ok: AVERAGE STANDEV MINIMUM MAXIMUM Terr 0.10% 0.08% 0.00% 0.29% 1 time TEST overhead (t err): RUN AVERAGE STANDEV MINIMUM MAXIMUM TICK 1 0.253801E-05 0.476713E-09 TICK 2 0.253801E-05 0.476713E-09 TICK 3 0.253801E-05 0.476803E-09 TICK 4 0.253801E-05 0.286231E-09 TICK 5 0.253839E-05 0.952696E-10 TICK 6 0.253801E-05 0.286036E-09 TICK 7 0.253801E-05 0.476803E-09 DATA 7 0.999774E-01 0.923434E-05 0.999856E-01 0.999877E-01 DATA 7 0.100021E+00 0.349809E-04 0.999843E-01 0.999875E-01 TICK 7 0.253807E-05 0.133509E-09 0.253801E-05 0.253839E-05 THE EXPERIMENTAL TIMING ERRORS FOR ALL 7 RUNS -- --------- --------- --------- ----- ----- --- k T min T avg T max T err tick P-F -- --------- --------- --------- ----- ----- --- 1 0.1945E-01 0.1949E-01 0.1951E-01 0.10% 0.00% 0 2 0.1893E-01 0.1894E-01 0.1899E-01 0.11% 0.00% 0 3 0.1503E-01 0.1508E-01 0.1509E-01 0.18% 0.00% 0 4 0.1263E-01 0.1267E-01 0.1270E-01 0.24% 0.00% 0 5 0.1878E-01 0.1879E-01 0.1879E-01 0.03% 0.00% 0 6 0.1327E-01 0.1327E-01 0.1328E-01 0.06% 0.00% 0 7 0.1966E-01 0.1969E-01 0.1972E-01 0.15% 0.00% 0 8 0.4751E-01 0.4755E-01 0.4759E-01 0.06% 0.00% 0 9 0.2728E-01 0.2728E-01 0.2729E-01 0.03% 0.00% 0 10 0.5059E-01 0.5066E-01 0.5073E-01 0.08% 0.00% 0 11 0.1804E-01 0.1804E-01 0.1804E-01 0.00% 0.00% 0 12 0.1790E-01 0.1794E-01 0.1796E-01 0.11% 0.00% 0 13 0.9227E-01 0.9228E-01 0.9233E-01 0.02% 0.00% 0 14 0.5236E-01 0.5237E-01 0.5242E-01 0.04% 0.00% 0 15 0.2085E-01 0.2090E-01 0.2093E-01 0.15% 0.00% 0 16 0.1220E-01 0.1223E-01 0.1228E-01 0.25% 0.00% 0 17 0.2344E-01 0.2348E-01 0.2352E-01 0.15% 0.00% 0 18 0.2195E-01 0.2199E-01 0.2201E-01 0.12% 0.00% 0 19 0.2150E-01 0.2154E-01 0.2158E-01 0.16% 0.00% 0 20 0.1428E-01 0.1430E-01 0.1436E-01 0.18% 0.00% 0 21 0.1395E+00 0.1396E+00 0.1396E+00 0.04% 0.00% 0 22 0.4220E-01 0.4224E-01 0.4227E-01 0.08% 0.00% 0 23 0.2902E-01 0.2903E-01 0.2904E-01 0.02% 0.00% 0 24 0.1028E-01 0.1030E-01 0.1034E-01 0.29% 0.00% 0 -- --------- --------- --------- ----- ----- --- NET CPU TIMING VARIANCE (T err); A few % is ok: AVERAGE STANDEV MINIMUM MAXIMUM Terr 0.11% 0.08% 0.00% 0.29% 1 time TEST overhead (t err): RUN AVERAGE STANDEV MINIMUM MAXIMUM TICK 1 0.253801E-05 0.476713E-09 TICK 2 0.253801E-05 0.476713E-09 TICK 3 0.253801E-05 0.476803E-09 TICK 4 0.253801E-05 0.286231E-09 TICK 5 0.253839E-05 0.952696E-10 TICK 6 0.253801E-05 0.286036E-09 TICK 7 0.253801E-05 0.476803E-09 DATA 7 0.999774E-01 0.923434E-05 0.999856E-01 0.999877E-01 DATA 7 0.100021E+00 0.349809E-04 0.999843E-01 0.999875E-01 TICK 7 0.253807E-05 0.133509E-09 0.253801E-05 0.253839E-05 THE EXPERIMENTAL TIMING ERRORS FOR ALL 7 RUNS -- --------- --------- --------- ----- ----- --- k T min T avg T max T err tick P-F -- --------- --------- --------- ----- ----- --- 1 0.1452E-01 0.1455E-01 0.1459E-01 0.20% 0.00% 0 2 0.1096E-01 0.1102E-01 0.1104E-01 0.22% 0.00% 0 3 0.1121E-01 0.1123E-01 0.1127E-01 0.23% 0.00% 0 4 0.8181E-02 0.8221E-02 0.8258E-02 0.42% 0.00% 0 5 0.1415E-01 0.1417E-01 0.1423E-01 0.18% 0.00% 0 6 0.9671E-02 0.9693E-02 0.9747E-02 0.24% 0.00% 0 7 0.1488E-01 0.1489E-01 0.1489E-01 0.05% 0.00% 0 8 0.3520E-01 0.3526E-01 0.3527E-01 0.07% 0.00% 0 9 0.1988E-01 0.1992E-01 0.1995E-01 0.15% 0.00% 0 10 0.3924E-01 0.3926E-01 0.3930E-01 0.08% 0.00% 0 11 0.1351E-01 0.1355E-01 0.1359E-01 0.24% 0.00% 0 12 0.1317E-01 0.1317E-01 0.1317E-01 0.00% 0.00% 0 13 0.6983E-01 0.6984E-01 0.6989E-01 0.03% 0.00% 0 14 0.4361E-01 0.4363E-01 0.4367E-01 0.06% 0.00% 0 15 0.1130E-01 0.1130E-01 0.1131E-01 0.06% 0.00% 0 16 0.9493E-02 0.9503E-02 0.9508E-02 0.07% 0.00% 0 17 0.1700E-01 0.1703E-01 0.1708E-01 0.18% 0.00% 0 18 0.2203E-01 0.2205E-01 0.2210E-01 0.10% 0.00% 0 19 0.1549E-01 0.1555E-01 0.1556E-01 0.14% 0.00% 0 20 0.1304E-01 0.1307E-01 0.1310E-01 0.23% 0.00% 0 21 0.2233E+00 0.2234E+00 0.2234E+00 0.01% 0.00% 0 22 0.2863E-01 0.2865E-01 0.2870E-01 0.12% 0.00% 0 23 0.2033E-01 0.2033E-01 0.2035E-01 0.03% 0.00% 0 24 0.7784E-02 0.7817E-02 0.7860E-02 0.44% 0.00% 0 -- --------- --------- --------- ----- ----- --- NET CPU TIMING VARIANCE (T err); A few % is ok: AVERAGE STANDEV MINIMUM MAXIMUM Terr 0.15% 0.11% 0.00% 0.44% 1 ******************************************** THE LIVERMORE FORTRAN KERNELS: * SUMMARY * ******************************************** Computer : PARSYS SN 9400SP System : SunOS 4.1.3 Compiler : ACE FORTRAN 77 Date : 95.02.01 Testor : Ian Glendinning When the computer performance range is very large the net Mflops rate of many Fortran programs and workloads will be in the sub-range between the equi- weighted Harmonic and Arithmetic means depending on the degree of code parallelism and optimization. The least biased central measure is the Geometric Mean of 72 rates, quoted +- a standard deviation. Mean Mflops rates imply the average efficiency of a computing system since the peak rate is well known. LFK test measures a lower bound for a Multi-processor and N * LFK rates project an upper bound for N-procs. KERNEL FLOPS MICROSEC MFLOP/SEC SPAN WEIGHT CHECK-SUMS OK ------ ----- -------- --------- ---- ------ ---------------------- -- 1 3.0240E+04 1.4549E+04 2.0785 27 1.00 2.6985733032226563E+02 8 2 1.6192E+04 1.1020E+04 1.4693 15 1.00 2.7673080444335938E+02 0 3 1.5984E+04 1.1229E+04 1.4234 27 1.00 1.8895164728164673E+00 0 4 9.1200E+03 8.2205E+03 1.1094 27 1.00 4.1994752883911133E+00 8 5 1.6640E+04 1.4168E+04 1.1745 27 1.00 2.2278306961059570E+01 8 6 8.0640E+03 9.6927E+03 0.8320 8 1.00 7.8421654701232910E+00 0 7 5.3760E+04 1.4886E+04 3.6115 21 1.00 1.9920040893554688E+02 8 8 6.7392E+04 3.5255E+04 1.9116 14 1.00 2.0723806640625000E+04 8 9 5.3040E+04 1.9919E+04 2.6628 15 1.00 1.8367779296875000E+04 8 10 2.7000E+04 3.9264E+04 0.6877 15 1.00 1.1559039062500000E+04 8 11 9.5680E+03 1.3551E+04 0.7061 27 1.00 4.5858125000000000E+03 0 12 9.9840E+03 1.3166E+04 0.7583 26 1.00 1.3560056686401367E-05 0 13 1.3888E+04 6.9840E+04 0.1989 8 1.00 2.9006579200000000E+08 0 14 1.9008E+04 4.3628E+04 0.4357 27 1.00 1.6085944000000000E+07 8 15 1.8480E+04 1.1302E+04 1.6351 15 1.00 7.7629814453125000E+03 0 16 1.2320E+04 9.5035E+03 1.2964 15 1.00 1.8144000000000000E+04 8 17 2.8080E+04 1.7033E+04 1.6486 15 1.00 2.0631579589843750E+02 8 18 4.5760E+04 2.2046E+04 2.0757 14 1.00 6.7904526367187500E+03 0 19 2.0160E+04 1.5545E+04 1.2969 15 1.00 8.8776153564453125E+01 0 20 3.7856E+04 1.3072E+04 2.8959 26 1.00 4.1913994140625000E+03 8 21 2.0000E+05 2.2339E+05 0.8953 20 1.00 1.8407042500000000E+06 0 22 1.6320E+04 2.8649E+04 0.5697 15 1.00 -2.8675750732421875E+02 0 23 4.0040E+04 2.0333E+04 1.9692 14 1.00 3.3952382812500000E+03 0 24 4.7840E+03 7.8167E+03 0.6120 27 1.00 9.1000000000000000E+01 8 1 4.0400E+04 1.9492E+04 2.0726 101 2.00 3.6773417968750000E+03 0 2 3.1040E+04 1.8936E+04 1.6392 101 2.00 1.0778052734375000E+04 8 3 2.1412E+04 1.5075E+04 1.4204 101 2.00 7.0681867599487305E+00 0 4 1.6800E+04 1.2674E+04 1.3256 101 2.00 4.1994752883911133E+00 8 5 2.2000E+04 1.8788E+04 1.1710 101 2.00 3.2123223876953125E+02 8 6 1.3440E+04 1.3273E+04 1.0126 32 2.00 6.0421722412109375E+02 0 7 7.1104E+04 1.9686E+04 3.6119 101 2.00 4.4419106445312500E+03 8 8 8.5536E+04 4.7551E+04 1.7988 100 2.00 1.0508876250000000E+06 8 9 7.2114E+04 2.7283E+04 2.6432 101 2.00 8.3261050000000000E+05 8 10 3.4542E+04 5.0661E+04 0.6818 101 2.00 5.1172587500000000E+05 8 11 1.2800E+04 1.8043E+04 0.7094 101 2.00 2.4034921875000000E+05 0 12 1.3600E+04 1.7944E+04 0.7579 100 2.00 4.9233436584472656E-05 0 13 1.8368E+04 9.2280E+04 0.1990 32 2.00 1.6263468800000000E+09 0 14 2.2220E+04 5.2372E+04 0.4243 101 2.00 2.0945011200000000E+08 0 15 3.3000E+04 2.0900E+04 1.5790 101 2.00 2.7606715625000000E+05 8 16 1.5120E+04 1.2232E+04 1.2361 40 2.00 2.2967000000000000E+04 8 17 3.6360E+04 2.3482E+04 1.5484 101 2.00 7.8024931640625000E+03 0 18 4.3560E+04 2.1990E+04 1.9809 100 2.00 3.4525706250000000E+05 8 19 2.7876E+04 2.1538E+04 1.2943 101 2.00 3.7952719726562500E+03 8 20 4.1600E+04 1.4301E+04 2.9089 100 2.00 2.1883435937500000E+05 8 21 1.2500E+05 1.3961E+05 0.8954 50 2.00 3.2830900000000000E+06 0 22 2.4038E+04 4.2240E+04 0.5691 101 2.00 -1.2309065429687500E+04 0 23 5.4450E+04 2.9025E+04 1.8759 100 2.00 2.2596731250000000E+05 8 24 6.2000E+03 1.0302E+04 0.6018 101 2.00 3.5000000000000000E+02 8 1 3.5035E+04 1.7787E+04 1.9697 1001 1.00 3.5802568750000000E+05 8 2 2.5996E+04 1.5885E+04 1.6365 101 1.00 1.0778052734375000E+04 8 3 1.8018E+04 1.3026E+04 1.3832 1001 1.00 7.0051651000976563E+01 0 4 1.6800E+04 1.2061E+04 1.3930 1001 1.00 4.1994752883911133E+00 8 5 2.0000E+04 1.8190E+04 1.0995 1001 1.00 3.1842101562500000E+04 8 6 1.1904E+04 1.1698E+04 1.0176 64 1.00 3.0625816406250000E+04 0 7 6.3680E+04 1.8453E+04 3.4509 995 1.00 4.2729759375000000E+05 0 8 7.1280E+04 3.9639E+04 1.7982 100 1.00 1.0508876250000000E+06 8 9 6.1812E+04 2.3434E+04 2.6377 101 1.00 8.3261050000000000E+05 8 10 3.0906E+04 4.5368E+04 0.6812 101 1.00 5.1172587500000000E+05 8 11 1.1000E+04 1.5842E+04 0.6944 1001 1.00 2.3400502400000000E+08 0 12 1.2000E+04 1.6225E+04 0.7396 1000 1.00 2.1263211965560913E-04 0 13 1.6128E+04 8.1118E+04 0.1988 64 1.00 3.1281172480000000E+09 0 14 2.2022E+04 5.4262E+04 0.4058 1001 1.00 2.2155044864000000E+10 0 15 1.6500E+04 1.0491E+04 1.5727 101 1.00 2.7606715625000000E+05 8 16 1.3250E+04 1.0686E+04 1.2400 75 1.00 2.0307000000000000E+04 8 17 3.1815E+04 2.0539E+04 1.5490 101 1.00 8.5893896484375000E+03 0 18 4.3560E+04 2.1966E+04 1.9831 100 1.00 3.4525706250000000E+05 8 19 2.3634E+04 1.8262E+04 1.2942 101 1.00 3.7952719726562500E+03 8 20 2.6000E+04 9.5127E+03 2.7332 1000 1.00 2.1284524800000000E+08 0 21 1.2625E+05 1.4683E+05 0.8598 101 1.00 7.8114865000000000E+06 0 22 1.8887E+04 3.3186E+04 0.5691 101 1.00 -1.2309065429687500E+04 0 23 4.3560E+04 2.3228E+04 1.8753 100 1.00 2.1972109375000000E+05 8 24 5.0000E+03 8.3647E+03 0.5978 1001 1.00 3.5000000000000000E+03 8 ------ ----- -------- --------- ---- ------ ---------------------- -- 72 0.2421E+07 0.2133E+07 1.1353 167 264 MFLOPS RANGE: REPORT ALL RANGE STATISTICS: Mean DO Span = 167 Code Samples = 72 Maximum Rate = 3.6119 Mega-Flops/Sec. Quartile Q3 = 1.8753 Mega-Flops/Sec. Average Rate = 1.4089 Mega-Flops/Sec. Geometric Mean = 0.0000 Mega-Flops/Sec. Median Q2 = 1.2964 Mega-Flops/Sec. Harmonic Mean = 0.9203 Mega-Flops/Sec. Quartile Q1 = 0.7094 Mega-Flops/Sec. Minimum Rate = 0.1988 Mega-Flops/Sec. Standard Dev. = 0.8028 Mega-Flops/Sec. Avg Efficiency = 0.00% Program & Processor Mean Precision = 3.67 Decimal Digits <<<<<<<<<<<<<<<<<<<<<<<<<<<*>>>>>>>>>>>>>>>>>>>>>>>>>>> < BOTTOM-LINE: 72 SAMPLES LFK TEST RESULTS SUMMARY. > < USE RANGE STATISTICS ABOVE FOR OFFICIAL QUOTATIONS. > <<<<<<<<<<<<<<<<<<<<<<<<<<<*>>>>>>>>>>>>>>>>>>>>>>>>>>> 1 1 SENSITIVITY ANALYSIS The sensitivity of the harmonic mean rate (Mflops) to various weightings is shown in the table below. Seven work distributions are generated by assigning two distinct weights to ranked kernels by quartiles. Forty nine possible cpu workloads are then evaluated using seven sets of values for the total weights: ------ ------ ------ ------ ------ ------ ------ 1st QT: O O O O O X X 2nd QT: O O O X X X O 3rd QT: O X X X O O O 4th QT: X X O O O O O ------ ------ ------ ------ ------ ------ ------ Total Weights Net Mflops: X O ---- ---- 1.00 0.00 0.44 0.61 1.00 1.21 1.54 1.87 2.38 0.95 0.05 0.45 0.63 0.99 1.17 1.47 1.69 2.15 0.90 0.10 0.47 0.65 0.99 1.14 1.41 1.55 1.96 0.80 0.20 0.51 0.70 0.98 1.07 1.30 1.32 1.67 0.70 0.30 0.55 0.76 0.97 1.02 1.21 1.15 1.46 0.60 0.40 0.61 0.83 0.95 0.97 1.13 1.02 1.29 0.50 0.50 0.67 0.92 0.94 0.92 1.06 0.92 1.16 ---- ---- ------ ------ ------ ------ ------ ------ ------ SENSITIVITY OF NET MFLOPS RATE TO USE OF OPTIMAL FORTRAN CODE(SISD/SIMD MODEL) 0.61 0.72 0.87 1.10 1.27 1.51 1.85 2.08 2.38 0.00 0.20 0.40 0.60 0.70 0.80 0.90 0.95 1.00 Fraction Of Operations Run At Optimal Fortran Rates 1 TABLE OF SPEED-UP RATIOS OF MEAN RATES (72 Samples) Arithmetic, Geometric, Harmonic Means (AM,GM,HM) The Geometric Mean is the least biased statistic. -------- ---- ------ -------- -------- -------- -------- -------- -------- SYSTEM MEAN MFLOPS SX-3/14 YMP/1 9000/730 6000/540 i486/25 PARSYS S -------- ---- ------ -------- -------- -------- -------- -------- -------- NEC AM= 311.820 : 1.000 3.986 17.030 22.006 271.148 221.329 SX-3/14 GM= 95.590 : 1.000 2.610 6.081 8.909 91.038********* F77v.012 HM= 38.730 : 1.000 2.193 2.916 5.199 42.098 42.084 SD= 499.780 CRAY AM= 78.230 : 0.251 1.000 4.273 5.521 68.026 55.528 YMP/1 GM= 36.630 : 0.383 1.000 2.330 3.414 34.886********* CFT771.2 HM= 17.660 : 0.456 1.000 1.330 2.370 19.196 19.189 SD= 86.750 HP AM= 18.310 : 0.059 0.234 1.000 1.292 15.922 12.996 9000/730 GM= 15.720 : 0.164 0.429 1.000 1.465 14.971********* f77 8.05 HM= 13.280 : 0.343 0.752 1.000 1.783 14.435 14.430 SD= 9.680 IBM AM= 14.170 : 0.045 0.181 0.774 1.000 12.322 10.058 6000/540 GM= 10.730 : 0.112 0.293 0.683 1.000 10.219********* XL v0.90 HM= 7.450 : 0.192 0.422 0.561 1.000 8.098 8.095 SD= 9.590 COMPAQ AM= 1.150 : 0.004 0.015 0.063 0.081 1.000 0.816 i486/25 GM= 1.050 : 0.011 0.029 0.067 0.098 1.000********* HM= 0.920 : 0.024 0.052 0.069 0.123 1.000 1.000 SD= 0.480 PARSYS S AM= 1.409 : 0.005 0.018 0.077 0.099 1.225 1.000 PARSYS S GM= 0.000 : 0.000 0.000 0.000 0.000 0.000 0.000 ACE FORT HM= 0.920 : 0.024 0.052 0.069 0.124 1.000 1.000 SD= 0.803 1 Version: 22/DEC/86 mf523 6094 CHECK FOR CLOCK CALIBRATION ONLY: Total Job Cpu Time = 2.17407E+02 Sec. Total 24 Kernels Time = 1.49297E+01 Sec. Total 24 Kernels Flops= 1.69491E+07 Flops