Spreadsheet Speed Tutorial

8/10/2019 Spreadsheet Speed Tutorial

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Operations/sec 2871.767

0.719891456 0.998967 0.096488 0.205076 0.768126 0.0002 0.583136 0.633123 0.546018

0.709853989 0.843975 0.313691 0.692724 0.815439 0.392843 0.567104 0.475622 0.569692

0.21232786 0.307709 0.909739 0.166315 0.691462 0.249018 0.248317 0.375572 0.498401

0.007653513 0.475806 0.423429 0.504461 0.864916 0.283091 0.160582 0.998265 0.774462

0.128752593 0.70549 0.28437 0.081536 0.493842 0.52402 0.730405 0.201781 0.002948

Speed Test


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0.967968 0.770495 0.716014 0.957543 0.870611 0.359197 0.403738 0.855051 0.906308

0.976221 0.511026 0.959924 0.605232 0.937664 0.838249 0.796267 0.544341 0.343615

0.182815 0.840482 0.230003 0.725982 0.551928 0.024118 0.582075 0.148271 0.059442

0.808653 0.027699 0.740504 0.066984 0.283072 0.71201 0.518926 0.20452 0.480776

0.819077 0.64438 0.978083 0.324362 0.618694 0.094466 0.639568 0.607658 0.570642


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0.423131 0.743037 0.654908 0.803138 0.445534 0.375 0.998794 0.999582 0.990405

0.889627 0.011283 0.105774 0.193431 0.803504 0.69626 0.997656 0.306218 0.76875

0.094352 0.90167 0.338031 0.698706 0.344091 0.637058 0.351181 0.180993 0.793345

0.444028 0.473194 0.962846 0.875668 0.3784 0.711223 0.233438 0.466632 0.730944

0.317609 0.13846 0.929358 0.950043 0.571902 0.680759 0.37355 0.908428 0.924133


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0.685596 0.046349 0.883711 0.456063 0.547843 0.906684 0.130486 0.265487 0.26017

0.045549 0.444987 0.810179 0.076918 0.116784 0.87963 0.618273 0.57004 0.251132

0.921384 0.489755 0.252241 0.0533 0.368694 0.192116 0.496868 0.060821 0.768839

0.692192 0.729504 0.353726 0.366717 0.118972 0.29026 0.782588 0.618045 0.11524

0.854766 0.399762 0.887507 0.451736 0.939403 0.871923 0.074071 0.633359 0.267452


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0.367203 0.2324 0.874405 0.040219 0.62721 0.274207 0.89295 0.092595 0.85401

0.3734 0.724894 0.208629 0.385375 0.654985 0.042314 0.391237 0.189752 0.666887

0.565246 0.959311 0.248503 0.825562 0.234343 0.254582 0.522009 0.553599 0.135062

0.929012 0.473353 0.997001 0.433541 0.621872 0.715141 0.537167 0.369243 0.772939

0.578029 0.671515 0.82331 0.983496 0.871684 0.614415 0.311385 0.341829 0.205482


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0.816436 0.110597 0.894549 0.449569 0.805137 0.090983 0.928707 0.97879 0.418751

0.448607 0.836617 0.833204 0.655715 0.000236 0.04917 0.484527 0.989204 0.975085

0.392429 0.087298 0.735341 0.837825 0.051586 0.03348 0.692013 0.292989 0.070417

0.456263 0.907336 0.592148 0.786306 0.503639 0.427603 0.607349 0.773188 0.767511

0.450368 0.047464 0.755868 0.460317 0.678978 0.2096 0.124383 0.299342 0.902086


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0.95222 0.804187 0.638428 0.338092 0.722697 0.348814 0.605837 0.03585 0.527145

0.879715 0.25058 0.999423 0.931987 0.807858 0.987949 0.665121 0.943027 0.25408

0.847191 0.371548 0.340418 0.703967 0.336388 0.538062 0.692865 0.829943 0.10287

0.748331 0.530688 0.477922 0.940221 0.950297 0.473766 0.165518 0.532167 0.78635

0.606634 0.353707 0.586559 0.26256 0.41624 0.650024 0.360285 0.129728 0.053819


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0.758081 0.081867 0.171383 0.771095 0.628421 0.395672 0.511667 0.049556 0.218401

0.446571 0.647813 0.548146 0.780808 0.556827 0.213595 0.292022 0.551656 0.688833

0.179945 0.073266 0.873539 0.720188 0.168182 0.497056 0.57489 0.00857 0.483376

0.759389 0.676831 0.357904 0.226827 0.031732 0.604192 0.265466 0.621035 0.383485

0.934105 0.447512 0.343389 0.94385 0.054635 0.783492 0.194925 0.245387 0.264567


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0.780551 0.612614 0.97775 0.411856 0.919021 0.313848 0.537807 0.676038 0.954955

0.267477 0.282263 0.516902 0.072124 0.711489 0.835737 0.705323 0.060547 0.924292

0.703881 0.899759 0.488111 0.96512 0.995238 0.524345 0.32725 0.6452 0.51546

0.46321 0.240282 0.695737 0.095371 0.600202 0.090638 0.099701 0.027888 0.041704

0.903696 0.1378 0.531213 0.055558 0.166908 0.462922 0.849901 0.427914 0.553522


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0.67811 0.487255 0.26033 0.673283 0.32471 0.954255 0.178514 0.827211 0.866638

0.721521 0.104748 0.686042 0.230548 0.236418 0.189118 0.490784 0.119992 0.817595

0.686364 0.139119 0.285379 0.638303 0.832169 0.577885 0.889458 0.954188 0.563063

0.57021 0.888707 0.71492 0.105331 0.813496 0.325499 0.259766 0.219283 0.579668

0.041238 0.047284 0.69289 0.352355 0.891001 0.419875 0.193491 0.195243 0.29171


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0.555047 0.221883 0.644998 0.078286 0.767012 0.528312 0.364916 0.106355 0.090756

0.834565 0.104073 0.311417 0.883281 0.4807 0.13818 0.153326 0.084024 0.339466

0.836866 0.264895 0.349285 0.98236 0.367136 0.766362 0.450962 0.273781 0.035779

0.375647 0.729705 0.791436 0.04938 0.041065 0.348929 0.62004 0.157059 0.543754

0.833823 0.148136 0.339197 0.060361 0.499819 0.835851 0.547971 0.956118 0.261873


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0.017108 0.435756 0.737744 0.857574 0.163801 0.964533 0.784339 0.704675 0.519472

0.22575 0.205357 0.052849 0.110657 0.799534 0.477855 0.423177 0.923041 0.79776

0.719637 0.087686 0.320669 0.914062 0.433095 0.387096 0.928687 0.377723 0.789394

0.217113 0.714678 0.410872 0.549437 0.9481 0.436254 0.47601 0.571681 0.886855

0.215191 0.543818 0.910797 0.999241 0.276782 0.60799 0.25261 0.169846 0.270409


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0.367178 0.910277 0.763672 0.25195 0.140553 0.497213 0.84165 0.583478 0.230596

0.11074 0.467389 0.793017 0.583851 0.216321 0.618347 0.919076 0.852228 0.056907

0.51839 0.994758 0.04549 0.552233 0.168159 0.984151 0.209817 0.573579 0.456276

0.356016 0.21845 0.146343 0.737263 0.993604 0.213874 0.00182 0.945618 0.524728

0.366448 0.020171 0.054004 0.390252 0.261241 0.766878 0.719715 0.56066 0.22048


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0.43662 0.89788 0.654038 0.41541 0.935712 0.51977 0.598017 0.775569 0.14255

0.527145 0.432152 0.297593 0.924517 0.452678 0.339554 0.410394 0.661874 0.898325

0.89659 0.095162 0.978517 0.69488 0.525341 0.224939 0.51061 0.482902 0.91068

0.605259 0.680376 0.161014 0.933905 0.371703 0.561636 0.008513 0.592033 0.768065

0.692418 0.573266 0.054972 0.975424 0.75642 0.214592 0.469687 0.703374 0.720036


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0.870632 0.289049 0.755549 0.428185 0.184236 0.089755 0.891166 0.509367 0.384897

0.380367 0.298434 0.605685 0.701229 0.419396 0.171854 0.559507 0.542861 0.326039

0.773981 0.09175 0.825894 0.590467 0.236223 0.654578 0.579274 0.28089 0.185391

0.701685 0.488468 0.635305 0.618019 0.06921 0.350431 0.51146 0.976352 0.751028

0.363227 0.426647 0.632708 0.491019 0.96933 0.238342 0.511583 0.837403 0.785314


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17/39

0.699321 0.488523 0.591068 0.70729 0.295421 0.074588 0.01692 0.315537 0.66614

0.416662 0.851938 0.335186 0.006475 0.486831 0.359555 0.984239 0.625604 0.810835

0.624101 0.619007 0.669303 0.504408 0.812219 0.82271 0.508131 0.051784 0.509084

0.91017 0.978295 0.114627 0.014593 0.172605 0.739831 0.299197 0.990421 0.465744

0.565958 0.484386 0.143995 0.134729 0.622613 0.491646 0.965206 0.573644 0.842377


18/39

0.437057 0.261393 0.290262 0.607274 0.677839 0.225055 0.698559 0.253083 0.077158

0.227373 0.802935 0.953798 0.266543 0.482206 0.694206 0.967293 0.697271 0.947835

0.97184 0.908352 0.756077 0.63005 0.121818 0.273953 0.430233 0.98499 0.427569

0.050197 0.2764 0.817896 0.05231 0.715721 0.830773 0.678915 0.167516 0.650195

0.39563 0.982497 0.727374 0.591371 0.931785 0.095314 0.45296 0.961802 0.204427


19/39

0.935539 0.248191 0.702239 0.369658 0.792086 0.586715 0.603856 0.74005 0.899167

0.182223 0.613976 0.28848 0.130641 0.468205 0.830694 0.710374 0.601711 0.275703

0.818673 0.176618 0.499661 0.011437 0.459111 0.166336 0.902651 0.310015 0.386761

0.059136 0.296279 0.692338 0.23658 0.33506 0.467976 0.416663 0.261653 0.6994

0.956664 0.407454 0.119875 0.515641 0.850427 0.02717 0.525729 0.567617 0.291236


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21/39

0.529169 0.680166 0.530536 0.782371 0.874738 0.9757 0.179085 0.053188 0.276632

0.294565 0.090719 0.324267 0.732212 0.437922 0.96215 0.674713 0.313755 0.990948

0.911625 0.001379 0.994207 0.206179 0.725653 0.790199 0.69303 0.630657 0.899592

0.818851 0.771423 0.917165 0.804194 0.946293 0.217307 0.182269 0.358955 0.779985

0.493335 0.610943 0.619518 0.544506 0.353197 0.326498 0.255694 0.148838 0.012548


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0.294771 0.314531 0.110367 0.511015 0.471241 0.366942 0.210719 0.62198 0.468272

0.189011 0.694687 0.30442 0.07571 0.876975 0.290103 0.511338 0.287878 0.432244

0.533348 0.267337 0.356094 0.706866 0.199215 0.387389 0.810968 0.776057 0.101494

0.038833 0.239783 0.235967 0.232554 0.184382 0.548141 0.370831 0.024564 0.170626

0.086709 0.566915 0.526495 0.955976 0.027198 0.040349 0.286239 0.123323 0.914269


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0.787158 0.951465

0.140125 0.01535

0.898879 0.718633

0.552692 0.421995

0.342034 0.124723


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Small Window 1000 4000 10000 40000 100000 400000

Excel 2003 3372 1520 724 201 80.9 20.2

Excel 2007 337 304 254 146 80 31.2

Large Window 1000 4000 10000 40000 100000 400000Excel 2003 841 213 134.5 87.7 53.5 18

Excel 2007 210 99 75 58.28 41.1 23.7

# of formulas/1000 (kFormulas) 1 4 10 40 100 400

EXL2003-small window [MegOps/sec] 3.372 6.08 7.24 8.04 8.09 8.08

EXL2007-small window [MegOps/sec] 0.337 1.216 2.54 5.84 8 12.48

EXL2003-large window [MegOps/sec] 0.841 0.852 1.345 3.508 5.35 7.2

EXL2007-large window [MegOps/sec] 0.21 0.396 0.75 2.3312 4.11 9.48

0

1

23

4

5

6

7

8

9

10

11

12

13

14

15

1 10 10

MegaOperation/second

Number of kilo-f

Excel Comput


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1000000 10000000

8.07 0.807 Hardware: Gateway SX2840-01

13.4 1.42 Monitor resolution: 1280 x 1024

1000000 100000007.7 0.803

11.4 1.412

1000 10000

8.07 8.07

13.4 14.2

7.7 8.03

11.4 14.12

0 1000 10000

rmulas in the worksheet

tion Speed

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

1

MegaOperation/second


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10 100 1000

Number of kilo-formulas in the worksheet

Excel Computation Speed

EXL2003-small window [MegOps/sec]

EXL2007-small window [MegOps/sec]

EXL2003-large window [MegOps/sec]

EXL2007-large window [MegOps/sec]


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10000


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Speed Test


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1 Million cells

Small Window 1_rand 2_rands 3_rands 4_rands 5_rands

Excel 2003 - LoopCycles/sec 8.02 4.59 3.23 2.5 2.05


1 Million cells

Small Window - Worksheet Calc Time 1 2 3 4 5

Excel 2003 0.124688 0.217865 0.309598 0.4 0.487805

Excel 2007 0.075131 0.10846 0.142653 0.172117 0.204918

1 Million cells

Small Window -Calculation time/function [ns] 1 2 3 4 5

Excel 2003 124.6883 108.9325 103.1992 100 97.56098

Excel 2007 75.13148 54.22993 47.55112 43.02926 40.98361

0

20

40

60

80

100

120

140

0 1 2 3 4 5

S

ingleFormulaCalculationTime[ns]

Number of "rand()" functions iCell formula: "=rand()*

The calculation time per function seems to

The number cells with formulas in the work

The size of the window is reduced (about 4"

Monitor resolution: 1280 x 1024

Hardware: Gateway SX2840-01


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6_rands 7_rands 8_rands 9_rands 10_rands

1.73 1.5 1.32 1.184 1.07 Hardware: Gateway SX2840-01

4.22 3.72 3.31 3 2.74 Monitor resolution: 1280 x 1024

6 7 8 9 10

0.578035 0.666667 0.757576 0.844595 0.934579

0.236967 0.268817 0.302115 0.333333 0.364964

6 7 8 9 10

96.33911 95.2381 94.69697 93.84384 93.45794

39.49447 38.40246 37.76435 37.03704 36.49635

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0 1 2

AverageLoopIteration

Period[sec.]

(averageworksheetcalculationtime)

The worksheet calculat

complexity

The number cells with

The size of the window

6 7 8 9 10

the product in each celland()*..*rand()"

tay relatively constant

sheet is constant = 1 Million

x4")

Excel 2003

Excel 2007

Monitor resolution: 12

Hardware: Gateway S


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3 4 5 6 7 8 9 10

Number of "rand()" functions in the product in each cellCell formula: "=rand()*rand()*..*rand()"

ion time seems to scale proportionally to formula

formulas in the worksheet is constant = 1 Million

is reduced (about 4"x4")

Excel 2003

Excel 2007

0 x 1024

2840-01


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Speed Test


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1 Million cells

Small Window sqrt() exp() sin() tan() abs()


1 Million cellsSmall Window -Calculation time/function [ns] sqrt() exp() sin() tan() abs()

Excel 2003 99.8004 135.1351 173.913 165.5629 96.33911

0

20

40

60

80

100

120

140

160

180

200

sqrt() exp() sin() tan(

SingleFormulaCalculation

Time[ns]

Calculation time for various built-in


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trunc() rand()

8.45 8.02 Hardware: Gateway SX2840-01


trunc() rand()

118.3432 124.6883

) abs() trunc() rand()

mathematical functionsMonitor resolution: 12

Hardware: Gateway S


Hardware: Gateway SX2840-01


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0 x 1024

2840-01

Documents

Spreadsheet Speed Tutorial