size.log
This commit is contained in:
Armin Friedl
parent
0cecff4079
commit
3c79104312
14 changed files with 1652 additions and 42 deletions
11
plot/plot.py
11
plot/plot.py
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@ -30,6 +30,8 @@ basepeak = 54.4
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ymem = []
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ypeak = []
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ybasepeak = []
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yeight = []
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ysix = []
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for i in np.arange(0,64,0.1):
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if bandwidth*i < peak:
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@ -39,6 +41,13 @@ for i in np.arange(0,64,0.1):
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i=1/32
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while i<=64:
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if i < 16 and i > 4:
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yeight.append(21.78)
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ysix.append(peak)
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else:
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yeight.append(None)
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ysix.append(None)
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if bandwidth*i < peak and bandwidth*i*2 < peak:
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ymem.append(bandwidth*i)
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ypeak.append(None)
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@ -55,7 +64,7 @@ while i<=64:
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#plot data
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#data = pd.Series(data=values, name='Peak Memory Bandwidth', index=np.arange(0,64,0.1))
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data = {'Peak Memory Bandwidth': pd.Series(ymem, index=xlbl), 'Peak Floating-Point Performance (Turbo)': pd.Series(ypeak, index=xlbl)}
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data = {'Peak Memory Bandwidth': pd.Series(ymem, index=xlbl), 'Peak Floating-Point Performance (Turbo)': pd.Series(ypeak, index=xlbl), 'Best 8 OI Kernel': pd.Series(yeight, index=xlbl), 'Best 1/16 OI Kernel': pd.Series(yeight, index=xlbl)}
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df = pd.DataFrame(data)
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ax = df.plot()
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210
reduce/size.log
Normal file
210
reduce/size.log
Normal file
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@ -0,0 +1,210 @@
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1,0.015060, 0.012820, 0.006505, 0.000924
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1,0.013010, 0.008138, 0.006707, 0.000929
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1,0.013959, 0.018517, 0.012665, 0.010040
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1,0.017139, 0.008266, 0.006602, 0.000933
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1,0.012186, 0.009795, 0.011971, 0.000928
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1,0.011320, 0.011973, 0.006519, 0.000926
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1,0.019044, 0.008140, 0.008787, 0.000913
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1,0.008048, 0.026552, 0.006572, 0.000934
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1,0.014868, 0.008198, 0.006745, 0.000927
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1,0.018982, 0.012490, 0.006542, 0.000935
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1,0.014860, 0.010456, 0.015956, 0.000929
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1,0.015556, 0.008380, 0.006694, 0.000931
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1,0.011853, 0.008191, 0.006520, 0.000935
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1,0.017231, 0.016554, 0.006573, 0.000938
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1,0.019388, 0.008211, 0.006490, 0.000940
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1,0.017562, 0.008292, 0.006570, 0.000940
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1,0.008377, 0.008385, 0.008122, 0.016472
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1,0.016700, 0.008092, 0.006615, 0.000940
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1,0.008701, 0.008410, 0.006554, 0.000936
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1,0.021345, 0.008315, 0.006538, 0.000935
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1,0.012839, 0.010863, 0.015722, 0.006039
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1,0.010784, 0.012452, 0.006464, 0.000943
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1,0.013310, 0.009412, 0.006499, 0.000939
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1,0.015488, 0.008262, 0.006519, 0.000957
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1,0.016392, 0.008346, 0.006548, 0.000946
|
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1,0.022343, 0.008379, 0.006572, 0.000951
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||||
1,0.009021, 0.008462, 0.006554, 0.000950
|
||||
1,0.019012, 0.008520, 0.006710, 0.000960
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||||
1,0.011137, 0.014027, 0.010778, 0.014246
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1,0.016490, 0.008227, 0.006638, 0.010030
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10,0.015200, 0.008364, 0.006514, 0.000942
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10,0.018563, 0.019307, 0.006683, 0.000939
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10,0.015394, 0.010670, 0.010332, 0.000954
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10,0.007525, 0.008310, 0.007347, 0.000953
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10,0.012634, 0.010634, 0.006643, 0.000956
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10,0.014186, 0.008059, 0.006486, 0.000947
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10,0.016306, 0.009247, 0.006542, 0.000958
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10,0.009274, 0.008334, 0.006675, 0.000944
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10,0.015010, 0.008208, 0.006568, 0.000956
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10,0.007146, 0.008374, 0.009934, 0.000952
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10,0.015609, 0.008445, 0.006520, 0.000954
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10,0.015018, 0.008323, 0.006675, 0.000961
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10,0.015876, 0.008303, 0.006915, 0.020554
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10,0.009362, 0.008383, 0.006504, 0.000963
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10,0.010540, 0.013352, 0.011971, 0.000955
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10,0.016023, 0.008194, 0.011112, 0.010048
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10,0.008929, 0.008427, 0.006597, 0.000962
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10,0.011935, 0.008371, 0.006765, 0.000969
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10,0.012526, 0.008457, 0.006569, 0.000962
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10,0.014575, 0.008361, 0.006579, 0.000950
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10,0.016678, 0.021072, 0.006916, 0.000959
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10,0.019073, 0.012327, 0.009451, 0.000967
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10,0.016419, 0.008326, 0.007186, 0.000963
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10,0.009798, 0.008325, 0.006630, 0.000959
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10,0.007363, 0.016486, 0.006578, 0.000957
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10,0.017285, 0.009254, 0.021329, 0.000991
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10,0.015300, 0.008662, 0.006476, 0.000973
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10,0.008793, 0.008317, 0.006629, 0.000961
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10,0.016962, 0.008466, 0.006804, 0.000973
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10,0.011350, 0.008511, 0.006569, 0.000978
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100,0.011944, 0.008318, 0.006828, 0.000974
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100,0.013588, 0.009846, 0.006560, 0.000975
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100,0.009091, 0.008647, 0.010100, 0.010636
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100,0.016221, 0.008714, 0.011530, 0.010031
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100,0.014302, 0.008184, 0.006780, 0.006496
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100,0.016849, 0.008263, 0.006687, 0.000981
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100,0.012719, 0.008396, 0.006918, 0.000976
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100,0.014992, 0.008173, 0.006631, 0.004980
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||||
100,0.024122, 0.008202, 0.006504, 0.000982
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100,0.014949, 0.008518, 0.006513, 0.000981
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100,0.005903, 0.013908, 0.006588, 0.000970
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100,0.018213, 0.008668, 0.006526, 0.000983
|
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100,0.012493, 0.018007, 0.006539, 0.000981
|
||||
100,0.014951, 0.008529, 0.012096, 0.000977
|
||||
100,0.020768, 0.008437, 0.006678, 0.000983
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100,0.014121, 0.008367, 0.006633, 0.000984
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||||
100,0.017092, 0.008173, 0.006618, 0.000984
|
||||
100,0.014134, 0.008309, 0.006683, 0.007205
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||||
100,0.021945, 0.016707, 0.010962, 0.005524
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100,0.017444, 0.008253, 0.006535, 0.000998
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||||
100,0.018334, 0.010120, 0.014758, 0.008821
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||||
100,0.013700, 0.008144, 0.006571, 0.000988
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100,0.018027, 0.014722, 0.006547, 0.000987
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||||
100,0.016101, 0.008572, 0.006593, 0.000992
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100,0.013204, 0.008207, 0.006552, 0.000990
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||||
100,0.015996, 0.008204, 0.006574, 0.000989
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100,0.031931, 0.009827, 0.006538, 0.000990
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100,0.016046, 0.008238, 0.006489, 0.000992
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100,0.008523, 0.013016, 0.006636, 0.000994
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100,0.016014, 0.008304, 0.006663, 0.001004
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1000,0.013056, 0.022506, 0.006647, 0.001072
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1000,0.008438, 0.008262, 0.006646, 0.001060
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1000,0.010373, 0.008534, 0.006729, 0.001073
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1000,0.025268, 0.008545, 0.006731, 0.001070
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1000,0.016263, 0.008354, 0.006659, 0.001078
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||||
1000,0.014329, 0.008434, 0.006751, 0.001071
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||||
1000,0.017146, 0.010863, 0.006634, 0.001073
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||||
1000,0.018675, 0.008679, 0.012135, 0.021216
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||||
1000,0.014633, 0.008818, 0.006577, 0.001090
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||||
1000,0.023196, 0.011840, 0.006592, 0.001076
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||||
1000,0.015533, 0.008400, 0.006624, 0.001078
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||||
1000,0.008505, 0.008295, 0.006727, 0.001077
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||||
1000,0.014966, 0.008623, 0.006701, 0.001077
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||||
1000,0.019072, 0.009632, 0.006680, 0.009179
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||||
1000,0.018672, 0.008424, 0.006804, 0.003599
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||||
1000,0.017340, 0.009541, 0.007161, 0.001083
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||||
1000,0.014347, 0.008685, 0.006701, 0.001082
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||||
1000,0.011189, 0.008424, 0.006667, 0.001084
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||||
1000,0.015610, 0.008340, 0.006706, 0.001082
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||||
1000,0.010836, 0.008901, 0.006614, 0.001098
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||||
1000,0.012571, 0.011788, 0.007889, 0.007866
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||||
1000,0.019443, 0.009326, 0.006642, 0.001086
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||||
1000,0.021744, 0.008486, 0.006620, 0.001093
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||||
1000,0.022898, 0.018285, 0.031074, 0.009292
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||||
1000,0.012526, 0.008323, 0.006738, 0.001088
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||||
1000,0.010241, 0.008389, 0.006595, 0.001090
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||||
1000,0.015677, 0.011739, 0.008517, 0.001094
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||||
1000,0.013255, 0.008391, 0.006764, 0.001085
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||||
1000,0.014460, 0.008330, 0.007717, 0.001111
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1000,0.013080, 0.013283, 0.006677, 0.001104
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10000,0.018514, 0.009322, 0.007049, 0.001389
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10000,0.013228, 0.009583, 0.007220, 0.001445
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10000,0.011737, 0.008952, 0.007170, 0.001427
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10000,0.014161, 0.013269, 0.007176, 0.001614
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10000,0.009160, 0.009017, 0.012309, 0.001398
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10000,0.025428, 0.008998, 0.006959, 0.001429
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10000,0.012735, 0.011255, 0.007631, 0.024461
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10000,0.008205, 0.012843, 0.007041, 0.001425
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||||
10000,0.024209, 0.008824, 0.007011, 0.001421
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||||
10000,0.012522, 0.010046, 0.007270, 0.001418
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10000,0.017439, 0.012809, 0.007340, 0.001598
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||||
10000,0.018774, 0.009051, 0.007153, 0.001395
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||||
10000,0.014256, 0.008903, 0.007264, 0.001412
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||||
10000,0.017022, 0.009033, 0.007169, 0.001419
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||||
10000,0.021680, 0.020549, 0.014481, 0.008859
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10000,0.019863, 0.011795, 0.007531, 0.001393
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||||
10000,0.022391, 0.006808, 0.007279, 0.001422
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||||
10000,0.015490, 0.009025, 0.007194, 0.001431
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||||
10000,0.014665, 0.010363, 0.007027, 0.001424
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||||
10000,0.015784, 0.009613, 0.007224, 0.001418
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||||
10000,0.023222, 0.010015, 0.023339, 0.030465
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10000,0.018942, 0.025240, 0.011122, 0.001415
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10000,0.011123, 0.009108, 0.007154, 0.001444
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10000,0.019147, 0.008789, 0.006974, 0.001461
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10000,0.013667, 0.012343, 0.015495, 0.001466
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10000,0.015624, 0.009109, 0.009302, 0.001402
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||||
10000,0.019067, 0.013941, 0.016134, 0.001437
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||||
10000,0.011807, 0.012808, 0.007084, 0.001426
|
||||
10000,0.014506, 0.011155, 0.007108, 0.001466
|
||||
10000,0.012350, 0.009386, 0.007166, 0.001446
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100000,0.022371, 0.035526, 0.023131, 0.027448
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||||
100000,0.013378, 0.023856, 0.013041, 0.024717
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||||
100000,0.010871, 0.029044, 0.015932, 0.017511
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||||
100000,0.012205, 0.032383, 0.017835, 0.015721
|
||||
100000,0.012234, 0.024945, 0.017423, 0.025463
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||||
100000,0.014343, 0.035935, 0.016265, 0.022189
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||||
100000,0.012570, 0.023612, 0.016249, 0.023553
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100000,0.014353, 0.027281, 0.019160, 0.019438
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100000,0.014454, 0.024914, 0.024764, 0.030581
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100000,0.013496, 0.029832, 0.014719, 0.023770
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100000,0.018304, 0.024292, 0.014693, 0.021875
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100000,0.028399, 0.023915, 0.027137, 0.025491
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100000,0.010145, 0.022987, 0.015735, 0.021145
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100000,0.012533, 0.032294, 0.028012, 0.019748
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100000,0.013240, 0.027931, 0.014247, 0.026066
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100000,0.013468, 0.025389, 0.014612, 0.017768
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100000,0.014450, 0.030766, 0.021046, 0.023127
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100000,0.013543, 0.030922, 0.017547, 0.022809
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||||
100000,0.013719, 0.023514, 0.016720, 0.028750
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100000,0.011630, 0.027707, 0.017063, 0.024498
|
||||
100000,0.013445, 0.028254, 0.016900, 0.016538
|
||||
100000,0.013426, 0.026310, 0.014950, 0.025251
|
||||
100000,0.016215, 0.020926, 0.023538, 0.022055
|
||||
100000,0.012278, 0.023712, 0.015968, 0.014424
|
||||
100000,0.012335, 0.022143, 0.014598, 0.014518
|
||||
100000,0.013790, 0.053877, 0.016792, 0.021680
|
||||
100000,0.015594, 0.020772, 0.017987, 0.020527
|
||||
100000,0.012329, 0.029190, 0.015424, 0.021301
|
||||
100000,0.012230, 0.024379, 0.017230, 0.017684
|
||||
100000,0.013589, 0.040487, 0.027573, 0.022245
|
||||
1000000,0.020727, 0.124509, 0.112477, 0.108229
|
||||
1000000,0.032473, 0.126158, 0.118394, 0.098192
|
||||
1000000,0.021973, 0.125135, 0.114933, 0.097082
|
||||
1000000,0.018970, 0.122516, 0.115200, 0.095380
|
||||
1000000,0.020313, 0.127562, 0.111321, 0.101456
|
||||
1000000,0.021555, 0.127997, 0.114297, 0.101177
|
||||
1000000,0.022448, 0.123110, 0.109968, 0.100089
|
||||
1000000,0.022387, 0.123137, 0.115687, 0.143453
|
||||
1000000,0.020858, 0.126027, 0.112245, 0.097318
|
||||
1000000,0.021095, 0.129142, 0.114619, 0.120646
|
||||
1000000,0.021187, 0.134334, 0.117879, 0.103980
|
||||
1000000,0.022047, 0.124922, 0.110836, 0.120224
|
||||
1000000,0.020579, 0.132466, 0.117571, 0.098158
|
||||
1000000,0.022642, 0.124157, 0.113329, 0.111869
|
||||
1000000,0.020913, 0.120785, 0.115758, 0.097079
|
||||
1000000,0.021255, 0.129725, 0.114023, 0.115193
|
||||
1000000,0.022199, 0.130058, 0.111212, 0.100436
|
||||
1000000,0.022980, 0.126308, 0.113577, 0.102413
|
||||
1000000,0.022109, 0.126565, 0.111826, 0.098784
|
||||
1000000,0.021139, 0.123117, 0.113357, 0.139509
|
||||
1000000,0.021675, 0.121999, 0.116524, 0.115985
|
||||
1000000,0.022481, 0.125771, 0.114231, 0.098526
|
||||
1000000,0.021303, 0.128222, 0.119330, 0.114650
|
||||
1000000,0.020648, 0.122423, 0.113259, 0.102972
|
||||
1000000,0.020828, 0.124934, 0.113054, 0.095407
|
||||
1000000,0.021351, 0.131414, 0.114445, 0.103877
|
||||
1000000,0.020946, 0.130915, 0.113755, 0.097917
|
||||
1000000,0.020846, 0.121703, 0.117466, 0.097012
|
||||
1000000,0.021515, 0.124847, 0.117515, 0.105351
|
||||
1000000,0.020116, 0.119978, 0.112513, 0.099434
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@ -114,6 +114,7 @@ for(size_t i=0; i<size; i++){
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\bigskip
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\subsubsection{Some Further 8/1 Kernel}
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\label{sec:advanced-kernels}
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Since some effort was put in getting results near peak performance \verb|-Ofast -ffast-math| was used to stretch compiler optimization to the maximum. Unfortunately \verb|-ffast-math| does not preserve strict IEEE compliance. It is therefore allowed to ignore non-associativity of floating point operations. For example $x = x*x*x*x*x*x*x*x$ can be optimized to $x~*=~x; x~*=~x; x~*=~x;$. Clearly this has an effect on the OI of the kernel. To test fastmath the kernel in~\prettyref{lst:8-1-fma-fastmath} was introduced. Mind that a[i] is written out only once and held in registers during a single iteration.
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\bigskip
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@ -1,5 +1,7 @@
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The best results for various kernels are given in~\prettyref{tbl:res-kernels}. The optimization binary \verb|roofline_full_manpack| was used for these results. This is the binary with all optimizations and the intrinsics kernel enabled. The following parameters were used: \verb|roofline_full_manpack -s 150000000 -r 5|. One double array was therefore 1144.41 MB big -- clearly too big for the cache.
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Note how \verb|simple8| is clearly flawed with \verb|-ffast-math| enabled. This is due to the non IEEE compliant optimization as described in~\prettyref{sec:advanced-kernels}. At this level of optimization only \verb|simple8fastmath| (which is fastmath safe but flawed with lower optimization levels) should be considered as a \emph{replacement} of \verb|simple8|.
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\begin{table}[h!]
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\centering
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\begin{tabular}{ll}
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@ -18,6 +20,17 @@ The best results for various kernels are given in~\prettyref{tbl:res-kernels}. T
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\label{tbl:res-kernels}
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\end{table}
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The rooftop graph with the best runs of the 2 best kernels of each category (\verb|simple16| and \verb|fma8|) is depictured in~\prettyref{fig:roofline-withres}.
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\caption{Roofline graph with kernel results}
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