Comparison of Mathematica 3.0 on Various Computers

last Version: August 20, 1999 (closed)


This is the latest version of Mathematica timing tests.
Further results are welcome.

Send mail to: karl(at)itp.tu-graz.ac.at

Test notebooks are available from Karl's MMA page.
Load down the MMA 3.0 test notebook.
If you have any comments please feel free to sign my guest book.


New results: Closed



Overall performance in 15 test calculations.


The current reference is a machine with a 120MHz 604 processor

PowerMac G3, PowerForce G3 ZIF 466 MHz, 1 MB cache, 384 MB, MacOS 8.5.1 [173]:

5.15

Celeron 300A at 450MHz, ASUS P2B, 128MB PC100 SDRAM, Linux 2.0.36 [172]:

5.02

Celeron 300A/466, ASUS P2B, 128M PC100 SDRAM, RedHat-5.1, Linux-2.0.36 [180]:

5.

Pentium II 450MHz, 128MB PC100 SDRAM, OS: Linux 2.0.35 [160]:

4.92

Celeron 300A/450, ASUS P2B, 128M PC100 SDRAM, RedHat-5.1, Linux-2.2.4 [179]:

4.844

Blue PowerMac G3 450MHz (OC from 400MHz), 1MB L2 cache, 192MB RAM, Mac OS 8.5.1 [174]:

4.81

Celeron 300A/450, ASUS P2B, 128M PC100 SDRAM, RedHat-5.1, Linux-2.0.36 [178]:

4.784

PII400 at 448MHz, ASUS P2B, 128MB PC100 SDRAM, RedHat 5.1, Linux-2.0.36 [175]:

4.7

Dell XPS R450, 128MB SDRAM PC100, RedHat 5.1, Linux-2.0.35 [171]:

4.68

Dell Dimension XPS R450 (Pentium II 450MHz), 128MB RAM, OS: Linux 2.0.35 [170]:

4.66

Power Mac G3, Powerlogix ZIF upgrade at 433MHz, 1MB/288MHz cache, MacOS 8.0 [161]:

4.62

Dell Precision Workstation 410, 450 MHz Pentium II, 128 MB RAM, Windows NT 4.0 SP3 [153]:

4.61

Pentium II 400 (dual), 256Mb, Linux 2.2.2 [177]:

4.416

Celeron 333A/416, ASUS P2B, 128M PC100 SDRAM, RedHat-5.1, Linux-2.0.36 [181]:

4.39

Pentium II 400 MHz, ASUS P2B-DS, 512k L2, 256 MB, OS: Win. NT 4.0 [155]:

4.36

Pentium II 400MHz, 128MB, Linux 2.0.35 [145]:

4.31

PII 400MHz, ASUS P2B, 256MB, Matrox Mill 3D 8MB AGP, Linux [148]:

4.27

PowerMac G3/400, 128K RAM, OS 8.5.1 [176]:

4.21

PII 400, 128MB, 512kB, Linux 2.0.34 [132]:

4.18

Dell XPS R400, 128MB, ATI XPERT 8MB AGP, Linux [149]:

4.15

Dell Precision 410 Twin PII, 400 MHz, 512M RAM, Win NT4 [134]:

4.15

Dell XPS R400 (Pentium II), 256 MB RAM, WinNT 4.0 [162a]:

4.05

Dell Optiplex GX1, Pentium Pro, 400 Mhz,129 Mb, Windows NT 4.0 [125]:

4.04

PII 400, 128Mb Ram, Matrox G200, Win98 [164]:

3.9

Celeron 300a, Overclocked to 450 MHz, 128 Mb RAM [168]:

3.76

Dual Pentium II, 350MHz, 256 MB SD Ram, Windows NT 4 [183]:

3.75

Pentium II PC: 350MHz, 64MB, Linux 3.0.35 [163]:

3.67

Dual P2-333MHz Supermicro P6DLS, 256MB SDRAM, Linux 2.0.33 [131]:

3.56

Dell XPS R400 (Pentium II), 256 MB RAM, Win95 [152b]:

3.46

Power Macintosh 9600/350, (604e 350Mhz), 448MB, 1MB L2 cache, MacOS 7.6.1 [98]:

3.39

Pentium II-300, SuperMicro P6SKS, 64MB, Linux [90]:

3.32

Power Macintosh 9600/350, (604e 350Mhz), 256MB, 1MB L2 cache Mac OS 8 [78]:

3.29

Pentium II 300MHz, 128MB, Dell XPS D300, Linux [87]:

3.28

PII 266MHz OC 300MHz, Quantex, Biostar M6TFX, 32MB, Linux [77]:

3.28

Pentium II 300MHz, 128MB, Micron Millennia XKU 300, Linux [88]:

3.26

PowerMac G3/300, 1 MB L2 cache, 2:1 160 MB RAM, MacOS 8.1 [120]:

3.21

NEC 300 MHz Pentium II 64 MB, Windows NT Workstation 4.0 (SP 3) [119]:

3.21

NetPower Symetra2, Two 300MHz Pentium II processors, 128M RAM, Windows NT 4.0 [64]:

3.17

Powerbook, G3, 293 MHz, 64 MB, MacOS 8.1 [138]:

3.14

Dell 6333PII/MT Workstation 400, 333Mhz, 128MB , WinNT Workstation 4.0 [152]:

3.08

PowerMac 8500/120, 192 MB, G3 300Mhz (XLR8), 512kb 5:2 L2, MacOS 8.1 [142]:

3.07

Micron Millennia Xru : Pentium II 266MHz, 32MB, Diamond Stealth 3D 2000, Linux [66]:

2.92

Powermac 9500/120, Maxpower Pro+ G3 275 MHz,1 MBL2 1:1, 256MB, MacOS 8.1 [137]:

2.91

Power Macintosh G3, (G3 266Mhz), 160MB RAM, MacOS 8 [100]:

2.87

Dell Dimension XPS R350 (Pentium II), 64MB PC100 SDRAM, Windows 98 [169]:

2.85

Power Macintosh 9600/300,(604e 300Mhz), 320MB, 1MB L2 cache, Mac OS 7.6.1 [85]:

2.84

Pentium II 300Mhz , 64MB, with BSD [121]:

2.84

Dual Pentium II, 266MHz, 512kb, 256MB, Windows NT 4.0 Server SP3 [83]:

2.84

Alphastation 500, 500Mhz, 512MB [116]:

2.82

Compaq Professional Workstation 6000: Double Pentium II 266 MHz, 512kb, 64MB, NT 4.0 Wrkst. [70]:

2.82

Power Mac 8500/120, 128M RAM, NewerTech MaxPowr Pro+ card, 266MHz, MacOS 7.5.2 [97]:

2.8

Digital Personal Workstation, Alpha 500MHz, 256MB ECC SDRAM, Digital Unix 4.0 [109]:

2.79

PowerMac 7500/100, Newer MAXpowr G3 266/133 MHz card, 1 MB L2, MacOS 8.1 [133]:

2.75

Dell XPS R400, (Pentium II), 256 MB RAM, Win98 [162c]:

2.78

300 MHz K2-2, 128MB, 1MB Cache, Linux [152]:

2.65

AMD K6-2 300Mhz,1MB cache, 64MB, 100 Mhz bus, OS: Linux 2.0.35 [154]:

2.61

Power Macintosh 9500, 160MB RAM, MaxPOWR Pro+, 266 MHz, MMA 3.0.1 [99]:

2.59

Power Macintosh G3/266/MT, 96MB, MacOS 8.1 [143]:

2.58

DEC Alpha 21164, 500MHz, 256MB, 1MB cache, Digital UNIX 4.0a [108]:

2.58

iMac (G3/233Mhz) 512k L2,96MB, MacOS 8.1 [156]:

2.54

Celeron A 374MHz, Bus speed 83MHz, Abit ATX 100MHz motherboard, 64MB, Win95 [157]:

2.54

PowerMac G3/233 (G3 233Mhz), 80 MB, Mac OS 8.1 [106]:

2.53

PowerMac 7500/250 (604e 250Mhz), 80 MB, 1MB L2 cache, Mac OS 8.1 [105]:

2.42

Pentium II 233MHz, 128MB RAM, Windows NT 4.0 [182]:

2.42

PentiumPro 200MHz/233OC, 64MB, Dell MB, Windows NT Workstation 4.0 (SP3) [86]:

2.41

Compaq 6000 266MHz, Pentium II, 128kB, NT 4 [124]:

2.41

PowerMac 8100/100 with 250/166 G3 card [117]:

2.38

Pentium II 300MHz, 64MB, Dell XPS D300, 440LX, Win95 , MMA 3.0.1 [101]:

2.38

Power Macintosh 7500/250, (604e PowerLogix 250MHz card), 48MB, 1 MB cache, MacOS 8 [82]:

2.37

PowerMac 9500, G3(750) 250 MHz, 512Kb cache, 144 MB of memory, MacOS 7.5.5 [89]:

2.34

PentiumPro 200MHz/233MHZ OC, 64MB, SMD, ASUS P/I-XP6NP5, Linux [75]:

2.33

PowerBook G3, 160MB, MacOS 8 [103]:

2.31

Power Macintosh 7100/66, Newer MAXpowr G3 PDS, 88 MB, MacOS 7.5.5 [130]:

2.27

PowerBook 2400c/180 with NUpower G3 (240 MHz, 160MHz 512k cache), 80 MB, MacOS 8.1 [159]:

2.27

Digital AlphaStation 500/400MHz, 512MB RAM, Digital UNIX V4.0D [123]:

2.27

Powermac 9600 (233MHz 604e), 96MB, 512KB Cache, MacOS 7.5.5 [38]:

2.26

Dual Pentium Pro 200, 64 MB, Linux [33]:

2.21

PowerMacintosh 7600, 233MHz 604e, 1MB L2 Cache, 48MB, MacOS 8.1 [113]:

2.19

PowerMac 8500 w/233MHz 604e, 1MB L2 cache, 128MB RAM, MacOS 8.1 [115]:

2.18

PowerMac7600/120 (604e/233Mhz card ) 256k L2 Cache,80MB, MacOS 8.1 [140]:

2.15

Pentium pro 200, 64 MB, 256kb, OS: Linux 2.0.27 [17]:

2.14

Asus P65UP5/C-P6ND Dual PentiumPro 200MHz, 256K L2, 128MB EDO, Linux [61]:

2.13

Pentium Pro 200 Mhz, 64 Mb RAM , 256 Kb cache, Linux 2.0.33 [118]:

2.13

Power Macintosh, 96 MB, PPC 750, 250 mHz, L2 512k(167 mHz), MacOS 8.1 [110]:

2.12

UMAX Pulsar 2250 (225Mhz 604e), 64 MB, 512 KB, MacOS 7.5.5 [30]:

2.1

PowerCenter Pro 210 (210MHz 604e), 32MB, 1M L2 Cache, MacOS 7.6 [55]:

2.09

Millenia Pro Plus, 200 MHz, 256k Cache, 128MB, Windows NT 4.0 [63]:

2.09

Power Tower Pro 225, 256MB, 1MB L2 cache, MacOS 7.6 [16]:

2.09

Asus TX-97-X; AMDk6-200 OC 233MHz(3.5x66MHz); 2x32MB DIMM; Linux [74]:

2.07

Pentium Pro, 200 MHz, 256k Cache, 64MB, Windows NT 4.0 Workstation [69]:

2.05

PowerCenterPro 210 (210 Mhz 604e), 32MB, 1MB L2, MacOS 7.6.1 [48]:

2.04

Gateway G6-200 PPro 200/256K L2, 96MB, Linux 2.0.29 [53]:

2.03

Asus TX-97-X; AMDk6-200 OC 225MHz(3x75MHz); 2x32MB DIMM; Linux [73]:

2.03

SGI Origin2000 8xR10000/195MHz, 4M L2, 2x256MB, 1GB, IRIX6.4 [54]:

2.01

Gateway 266 MHz Pentium II, 32MB, 256 kB cache, Windows95 [141]:

2.

PowerMac 8600, (200MHz 604e), 1Mb L2 cache, 96MB RAM, MacOS 7.6.1 [40]:

1.97

Silicon Graphics Indigo^2 MaximumImpact R10000/195Mhz, 256MB, OS: IRIX 6.2 [46]:

1.97

PowerTowerPro 200, 48MB, 1MB L2 cache, MacOS [21]:

1.96

Pentium pro 200 dual, 256 Cache, 64 MB, NT 4.0 [81]:

1.96

SGI Indigo^2 SolidImpack R1000/195MHz, 320MB, IRIX6.2 [51]:

1.95

SGI Challenge L 4xR10K/196MHz, 1GB, IRIX6.2 [52]:

1.95

PowerMacintosh 9600, (200 Mhz 604e), 512Kb cache, 96MB RAM, MacOS 7.5.5 [36]:

1.94

Power Macintosh 9500/200, 32MB, MacOS [19]:

1.93

Power Macintosh 9500, MAXpowr 200MHz card, RAM 96MB, 512kb, MacOS [26]:

1.91

Digital AlphaStation 500/333, 128Mb, Digital UNIX V4.0B [112]:

1.89

Intel PentiumPro 200Mhz, 256Kb cache, 128MB RAM, OS: NextStep v3.3. [9]:

1.86

SGI Origin200 2xR10K 180MHz, 1M L2, 128MB, IRIX6.4 [76]:

1.84

Millenia Pro Plus, 200 MHz, 256k Cache, 128MB, Windows NT 4.0 Workstation [47]:

1.84

AMDK6-200, ASUS TX97-X 430TX ATX 512K L2, 2 x 60ns 32MB SDRAM DIMM; Debian-1.3(2.0.30) [65]:

1.82

Power Macintosh 9500, MAXpowr 200MHz card, RAM 96MB, 512kb, RAM Doubler, MacOS [26]:

1.81

Power Macintosh 9500/200, 32MB, Virtual memory on, MacOS [19]:

1.81

PowerTowerPro 200, 48MB, 1MB cache, VM with RamDoubler, MacOS [21]:

1.81

PowerMac 7300 (180 MHz 604e), 48 MB RAM, 1 MB L2, MacOS 7.6.1 [39]:

1.78

PowerCenterPro 180 (180Mhz 604e) 1 Mb L2 cache, 32Mb, MacOS 7.6.1 [41]:

1.78

Silicon Graphics Indigo^2 SolidImpact R10000/175Mhz, 128MB, OS: IRIX 6.2 [23]:

1.75

PowerMac7500 (604e/233Mhz) 512k L2 Cache,176MB, MacOS 8.0 [139]:

1.73

PowerMac 8500, 180MHz, RAM 80MB, 256kb, MacOS [4]:

1.69

PowerMac 8500/180 (604e card, 180Mhz), 144MB, 256k cache, MacOS 7.6.1 [60]:

1.68

NetPower Symetra2, DUAL 266MHz Pentium II, 128M RAM, Windows NT 4.0 [49]:

1.59

AMD K6-200, 512K cache, 64 MB, Windows NT4 SP3 [71]:

1.56

SGI O2 R10000/175MHz, 128 MB RAM, Irix 6.3 [84]:

1.54

Pentium 233 MHz MMX, 512KB Cache, 96 MB RAM, Linux 2.0.33 [166]:

1.45

SUN Ultra SPARC II, 296MHz, 128M RAM, Solaris 3.0, SunOS Rel. 5.5.1 [96]:

1.42

Pentium II 300MHz, 64MB, Dell XPS D300, 440LX, Win95 , MMA 3.0.0 [101]:

1.42

Pentium 233 MHz MMX, 512KB Cache, 96 MB RAM, OPENSTEP 4.2 [165]:

1.37

Digitial Personal Workstation 500a, 64MB RAM, 2MB L3, WinNT 4.0, FX!32 Intel emulator [151]:

1.37

PowerMac 6500/225, (603e), 32 MB, 256kb, MacOS [27]:

1.3

PowerBook 3400c, (240mhz 603e), 80MB, 256KB, MacOS 7.6 [31]:

1.29

Laptop P233, Gericom Overdose 64MB, Linux 2.0.34 [135]:

1.28

Laptop P233, Gericom Overdose, 64MB, NT 4.0 [136]:

1.27

PowerBase 603e/240mhz, 32mb, 256kb, MacOS [10]:

1.25

Intel Pentium MMX 200MHz, 512kB cache, 64MB SDRAM, Linux 2.0.33 [127]:

1.23

PowerMacintosh 8500/150 (150Mhz 604e) 512KB cache, 64Mb, MacOS 7.6.1 [42]:

1.22

AMD K6, 233 mhz, 64 mb, 1Mb cache, Win95 [126]:

1.19

HP9000/700/J280 (PA-RISC 8000), 180MHz, 512MB [45]:

1.17

PowerMac 6500/250, 32 MB, MacOS [111]:

1.16

Intel Pentium, 200 MHz, ASUS P/I XP55T2P4, 512 kB PB-cache, 128MB, Windows 4.0 [147]:

1.15

PowerMac 7500 with a 604-150Mhz, 40MB RAM, 256kB cache, MacOS [8]:

1.14

Intel Pentium 200MMX, 64 Mb, Windows95 [146]:

1.11696

HP Vectra XU6/200 (Pentium Pro 200 MHz), OS: WinNT4.0 [2]:

1.071

Pentium 200, ('normal' Pentium) 512Kb cache, 64Mb, OS: Linux 2.0 [22]:

1.07

SGI O2 R5000/180MHz, 64MB, IRIX6.3 [50,104]:

1.05

Dual Pentium Pro 200, 64 MB, Win NT4.0 [33]:

1.05

Pentium MMX 200, (Comtrade), 512kb, 32MB SDRAM, Windows 95 [91]:

1.04

Power Macintosh 7600, 132MHz, RAM 32MB, 256kb, MacOS [25]:

1.03

PPro200/256K cache, ASUS P6NP5 mb, 64MB, OS: NT4.0 [6]:

1.01

PowerMac 7600/120, 48MB, 256kb, MacOS [1]:

1.

Pentium pro 200, 64 MB, 256kb, OS: Win95 [17]:

0.999

Power Macintosh 7600/132Mhz, 16 MB, Virtual memory on, 256kb, MacOS [11]:

0.984

SUN Ultra 1, 200MHz, 196MB RAM [43]:

0.975

Cyrix 6x86MX PR200, 200MHz, 150MHz bus speed, 96MB RAM, 512kb cache, Windows 95 [144]:

0.961

P6-180, 64 mb, OS: NT 4.0 [7]:

0.96

PowerMacintosh 4400/200, 32MB, 256kb cache, MacOS 7.5.3 [107]:

0.957

HP Vectra XU6/200 (Pentium Pro 200 MHz), OS: Win95 [2]:

0.956

PC, MB noname Triton 256kB cache, CPU AMD K5-100, 32MB RAM, Linux 2.0.30 [59]:

0.953

Cyrix 686 P166 w/512KB, 136MHz, 32MB, OS: Linux 2.0.30 [92]:

0.948

Power Macintosh 8500, 120MHz, RAM 80MB, MacOS [13]:

0.947

PowerBook 3400c, (180mhz 603ev), 80MB, 256KB, MacOS 8 [80]:

0.929

SGI Indigo^2 R4400/250MHz; 128 MB ; IRIX6.2 [67]:

0.888

HP9000 777/C110 workstation, HP PA 120MHz cpu, 128Mb, OS: HP-UX 10.10 [95]:

0.881

200Mhz Pentium, 64Mb RAM, Windows 95 [79]:

0.832

Pentium 133, 512 Kb cache, 64MB, Linux 2.0.30 [62]:

0.829

Sun, Ultra 1 Model 170, CPU Model 170 UltraSPARC (167MHz), 64MB RAM, Solaris 2.5.1 [56]:

0.806

Pentium 150 Mhz, Generic PCI motherboard, 256Kb, 48 MB, NextStep 4.1 [35]:

0.752

Pentium 233 MHz MMX, 512KB Cache, 96 MB RAM, Windows 95b [167]:

0.743

Intel Pentium 133MHz, 256kB cache, 64MB, Linux 2.0.28 [128]:

0.722

Intel Pentium, 132 MHz, 256 kB PB-cache, 64MB, Windows 4.0 [93]:

0.681

Intel Pentium overdrive 150 Mhz, 64 MB, OS: NextStep v3.3 [14]:

0.65

SGI Indigo^2 R8000/75MHz; 128 MB; IRIX6.2 [68]:

0.625

PowerMac 8100, (110mhz 601), 32MB, System 7.6.1 [32]:

0.594

Intel Pentium 166MMX, Ocktek Rhino 10 motherboard, 64MB, 256kb cache, OS: Win95 [37]:

0.593

Pentium (Quantex) 200MHz, 512K cache, 64 MB, OS: Win95 [15]:

0.581

Power Macintosh 7500, 100MHz, RAM 48MB, no cache, MacOS [12]:

0.547

SGI Indigo^2 MIPS R4400/150, 64 Meg memory, IRIX [20]:

0.54

Micron Millennia, 200 Mhz Pentium (p5), 80 Mb, 512kb, NT 4.0 [28]:

0.517

Sun, SuperCOMPstation 20S, CPU 2x hyperSPARC 125MHz, 64MB RAM, Solaris 2.5 [57]:

0.508

Dell Dimension XPS P166c, 64 MB RAM, OS: Win95 [5]:

0.496

PowerMac 8100, (80Mhz 601), 32 MB, 256 KB, MacOS 7.5.5 [29]:

0.489

Pentium 90, 16 MB, 256KB, OS: Linux 2.0.27 [24]:

0.484

PowerMac 6100, (80Mhz 601), 40MB, 256kb, MacOS 7.6.1 [34]:

0.48

PowerMac 6100/80/1024K L2 cache, Ramdoubler, MacOS [3]:

0.44

Power Macintosh 7100/80 (601-80Mhz), 104 MB, Virtual memory on, MacOS 7.5.5 [158]:

0.422

HP 9000/730 [44]:

0.394

SPARCstation 20 Model 60, CPU 60MHZ Model 61 SuperSPARC SPARCmodule, 64MB, Solaris 2.5 [58]:

0.393

Power Macintosh 7100/66,88 MB, MacOS 7.5.5 [129]:

0.388

PowerMac 8100, (80Mhz 601), 32 MB, 256 KB, Virtual Memory on, MacOS 7.5.5 [29]:

0.359

SGI Indy, 32MB [122]:

0.336

PowerBook 5300c, 32 Mb, MacOS 8.1 [114]:

0.316

Macintosh Performa 6116 CD, 16MB, Virtual memory on, MacOS [18]:

0.28

Pentium notebook, 100Mhz,16Mb, Linux [94]:

0.276

Dell XPS P60, Pentium 60, 32MB RAM, Win95 [102]:

0.269

Pentium 60 MHz, Micronics M5Pi motherboard, 256 kb, 40 MB [72]:

0.177

Detailed test results



Following calculations are performed

  1. Timing[N[Pi, 13000]][[1]]
  2. Timing[N[Sin[1/2], 4000]][[1]]
  3. Timing[10001!][[1]]
  4. Timing[FactorInteger[2^79-1]][[1]]
  5. Timing[PrimeQ[2^2281-1]][[1]]
  6. Timing[Eigenvalues[Table[Random[], {250}, {250}]]][[1]]
  7. Timing[Nest[f, 0.6, 15000]][[1]]
  8. Timing[Nest[g, 0.6, 3000]][[1]]
  9. Timing[Simplify[kdv[q4]]][[1]]
  10. Timing[DSolve[D[y[x],{x,2}]+(a/Cosh[x]^2-1)*y[x]==0,y[x],x]][[1]]
  11. Timing[Eliminate[{a0*b0 == g0, a1*b0 + a0*b1 == g1,
    a2*b0 + 2*a1*b1 + a0*b2 == g2,
    3*a2*b1 + 3*a1*b2 - q1*g1 - g0*q11 == g3,
    -q1*g2 - (7*q11*g1)/2 - g0*q12 + 6*a2*b2 - 6*a1*b1*q1 == g4,
    g2 - 3*a1*b1 + q1*g0 == -1}, {a0, a1, a2, b0, b1, b2}]][[1]]
  12. Timing[Integrate[1/(1 + x^20), x]][[1]]
  13. Timing[Table[N[WeierstrassP[n,1,1]],{n,500}]][[1]]
  14. Timing[Plot3D[Sin[x*y], {x, 0, 2*Pi}, {y, 0, 2*Pi},
    PlotPoints -> 300, DisplayFunction -> Identity]][[1]]
  15. Timing[Plot3D[q4, {x, -40, 40}, {t, -40, 40},
    PlotPoints -> 70, DisplayFunction -> Identity]][[1]]
where

f[x_] := 4*x - 4*x^2; 
g[x_] := BesselJ[0, x]; 
kdv[u_] := D[u, t] - 1/4*D[u, {x, 3}] - (3*u*D[u, x])/2; 
q4 := -(5/8) + (-288 - 96*Cosh[t/8 + 2*x] + 384*Cosh[(11*t)/16 - x])/
      ((-10 - 6*Cosh[t/8 + 2*x] + 6*Cosh[(11*t)/16 - x] + 
      9*Cosh[(13*t)/16 + x] + Cosh[(9*t)/16 - 3*x])*16); 
Back to Karl's MMA page.





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