Parallele Computing - 2 vs. 4 processor speed
$begingroup$
I am evaluating a code which ends with Table having ParallelEvaluate of a function XXXX[phi, theta, si]. For a grid of 225 points, a normal 2 processor laptop is taking 7 h as compared to 8.30 h by a high end Xeon 4 processor computer. CPU and memory usage for laptop and computer are about 66% vs 99% and 700MB vs 900 MB respectively. Will be thankful for any suggestion on how to improve the evaluation speed on computer. Thanks
XX1 = Table[{ParallelEvaluate[XXXX[phi, theta, si]], phi, theta,
si}, {phi, 0, Pi/4, Pi/56}, {theta, 0, ArcCot[Cos[phi]],
ArcCot[Cos[phi]]/14}, {si, 0 Pi, 0 Pi, 0}]
performance-tuning parallelization
asked 3 hours ago
user49535user49535
1415
$endgroup$
add a comment |
$begingroup$
I am evaluating a code which ends with Table having ParallelEvaluate of a function XXXX[phi, theta, si]. For a grid of 225 points, a normal 2 processor laptop is taking 7 h as compared to 8.30 h by a high end Xeon 4 processor computer. CPU and memory usage for laptop and computer are about 66% vs 99% and 700MB vs 900 MB respectively. Will be thankful for any suggestion on how to improve the evaluation speed on computer. Thanks
XX1 = Table[{ParallelEvaluate[XXXX[phi, theta, si]], phi, theta,
si}, {phi, 0, Pi/4, Pi/56}, {theta, 0, ArcCot[Cos[phi]],
ArcCot[Cos[phi]]/14}, {si, 0 Pi, 0 Pi, 0}]
performance-tuning parallelization
asked 3 hours ago
user49535user49535
1415
$endgroup$
add a comment |
$begingroup$
I am evaluating a code which ends with Table having ParallelEvaluate of a function XXXX[phi, theta, si]. For a grid of 225 points, a normal 2 processor laptop is taking 7 h as compared to 8.30 h by a high end Xeon 4 processor computer. CPU and memory usage for laptop and computer are about 66% vs 99% and 700MB vs 900 MB respectively. Will be thankful for any suggestion on how to improve the evaluation speed on computer. Thanks
XX1 = Table[{ParallelEvaluate[XXXX[phi, theta, si]], phi, theta,
si}, {phi, 0, Pi/4, Pi/56}, {theta, 0, ArcCot[Cos[phi]],
ArcCot[Cos[phi]]/14}, {si, 0 Pi, 0 Pi, 0}]
performance-tuning parallelization
asked 3 hours ago
user49535user49535
1415
$endgroup$
I am evaluating a code which ends with Table having ParallelEvaluate of a function XXXX[phi, theta, si]. For a grid of 225 points, a normal 2 processor laptop is taking 7 h as compared to 8.30 h by a high end Xeon 4 processor computer. CPU and memory usage for laptop and computer are about 66% vs 99% and 700MB vs 900 MB respectively. Will be thankful for any suggestion on how to improve the evaluation speed on computer. Thanks
XX1 = Table[{ParallelEvaluate[XXXX[phi, theta, si]], phi, theta,
si}, {phi, 0, Pi/4, Pi/56}, {theta, 0, ArcCot[Cos[phi]],
ArcCot[Cos[phi]]/14}, {si, 0 Pi, 0 Pi, 0}]
performance-tuning parallelization
performance-tuning parallelization
asked 3 hours ago
user49535user49535
1415
asked 3 hours ago
user49535user49535
1415
asked 3 hours ago
user49535user49535
1415
asked 3 hours ago
user49535user49535
1415
asked 3 hours ago
user49535user49535
1415
1415
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Without knowing the exact function (I assume it's something fairly long, possibly involving integrals or differential equations), I can only make the following suggestions:
It looks like you're using exact numbers. If this is necessary for your application, then there's probably not a lot you can do, but exact numbers usually slow things down substantially. If you can, use Real numbers (just place a dot after the numbers like {phi, 0., Pi/4., Pi/56.}. If you need more precision than that but don't necessarily require the infinite precision of exact numbers, you can also do this: {phi, 0`50, Pi/4`50, Pi/56`50}. This will give you 50 digits of precision to work with which should make your final answer pretty close to the exact answer.
The other thing I would try is:
XX1 = ParallelTable[
{XXXX[phi, theta, si]], phi, theta, si},
{phi, 0, Pi/4, Pi/56},
{theta, 0, ArcCot[Cos[phi]], ArcCot[Cos[phi]]/14},
{si, 0 Pi, 0 Pi, 0}
]
I think that ParallelTable is a better way to handle this than ParallelEvaluate. On a trial function, I see about a 100x speedup. ParallelEvaluate is simply evaluating your exact same function 4 times at each data point rather than splitting the task into multiple threads.
If you can, combine both things for the best speedup.
I hope this helps a bit! There are some people on here that are amazing at optimizing, perhaps they will be able to improve the speed even more. If it's possible, I would recommend posting your XXXX function unless it's insanely long.
edited 2 hours ago
Lukas Lang
6,6651930
answered 3 hours ago
MassDefectMassDefect
84128
$endgroup$
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
1
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Codewithaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)
$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
add a comment |
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1 Answer
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1 Answer
1
active
oldest
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$begingroup$
Without knowing the exact function (I assume it's something fairly long, possibly involving integrals or differential equations), I can only make the following suggestions:
It looks like you're using exact numbers. If this is necessary for your application, then there's probably not a lot you can do, but exact numbers usually slow things down substantially. If you can, use Real numbers (just place a dot after the numbers like {phi, 0., Pi/4., Pi/56.}. If you need more precision than that but don't necessarily require the infinite precision of exact numbers, you can also do this: {phi, 0`50, Pi/4`50, Pi/56`50}. This will give you 50 digits of precision to work with which should make your final answer pretty close to the exact answer.
The other thing I would try is:
XX1 = ParallelTable[
{XXXX[phi, theta, si]], phi, theta, si},
{phi, 0, Pi/4, Pi/56},
{theta, 0, ArcCot[Cos[phi]], ArcCot[Cos[phi]]/14},
{si, 0 Pi, 0 Pi, 0}
]
I think that ParallelTable is a better way to handle this than ParallelEvaluate. On a trial function, I see about a 100x speedup. ParallelEvaluate is simply evaluating your exact same function 4 times at each data point rather than splitting the task into multiple threads.
If you can, combine both things for the best speedup.
I hope this helps a bit! There are some people on here that are amazing at optimizing, perhaps they will be able to improve the speed even more. If it's possible, I would recommend posting your XXXX function unless it's insanely long.
edited 2 hours ago
Lukas Lang
6,6651930
answered 3 hours ago
MassDefectMassDefect
84128
$endgroup$
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
1
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Codewithaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)
$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
add a comment |
$begingroup$
Without knowing the exact function (I assume it's something fairly long, possibly involving integrals or differential equations), I can only make the following suggestions:
It looks like you're using exact numbers. If this is necessary for your application, then there's probably not a lot you can do, but exact numbers usually slow things down substantially. If you can, use Real numbers (just place a dot after the numbers like {phi, 0., Pi/4., Pi/56.}. If you need more precision than that but don't necessarily require the infinite precision of exact numbers, you can also do this: {phi, 0`50, Pi/4`50, Pi/56`50}. This will give you 50 digits of precision to work with which should make your final answer pretty close to the exact answer.
The other thing I would try is:
XX1 = ParallelTable[
{XXXX[phi, theta, si]], phi, theta, si},
{phi, 0, Pi/4, Pi/56},
{theta, 0, ArcCot[Cos[phi]], ArcCot[Cos[phi]]/14},
{si, 0 Pi, 0 Pi, 0}
]
I think that ParallelTable is a better way to handle this than ParallelEvaluate. On a trial function, I see about a 100x speedup. ParallelEvaluate is simply evaluating your exact same function 4 times at each data point rather than splitting the task into multiple threads.
If you can, combine both things for the best speedup.
I hope this helps a bit! There are some people on here that are amazing at optimizing, perhaps they will be able to improve the speed even more. If it's possible, I would recommend posting your XXXX function unless it's insanely long.
edited 2 hours ago
Lukas Lang
6,6651930
answered 3 hours ago
MassDefectMassDefect
84128
$endgroup$
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
1
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Codewithaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)
$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
add a comment |
$begingroup$
Without knowing the exact function (I assume it's something fairly long, possibly involving integrals or differential equations), I can only make the following suggestions:
It looks like you're using exact numbers. If this is necessary for your application, then there's probably not a lot you can do, but exact numbers usually slow things down substantially. If you can, use Real numbers (just place a dot after the numbers like {phi, 0., Pi/4., Pi/56.}. If you need more precision than that but don't necessarily require the infinite precision of exact numbers, you can also do this: {phi, 0`50, Pi/4`50, Pi/56`50}. This will give you 50 digits of precision to work with which should make your final answer pretty close to the exact answer.
The other thing I would try is:
XX1 = ParallelTable[
{XXXX[phi, theta, si]], phi, theta, si},
{phi, 0, Pi/4, Pi/56},
{theta, 0, ArcCot[Cos[phi]], ArcCot[Cos[phi]]/14},
{si, 0 Pi, 0 Pi, 0}
]
I think that ParallelTable is a better way to handle this than ParallelEvaluate. On a trial function, I see about a 100x speedup. ParallelEvaluate is simply evaluating your exact same function 4 times at each data point rather than splitting the task into multiple threads.
If you can, combine both things for the best speedup.
I hope this helps a bit! There are some people on here that are amazing at optimizing, perhaps they will be able to improve the speed even more. If it's possible, I would recommend posting your XXXX function unless it's insanely long.
edited 2 hours ago
Lukas Lang
6,6651930
answered 3 hours ago
MassDefectMassDefect
84128
$endgroup$
Without knowing the exact function (I assume it's something fairly long, possibly involving integrals or differential equations), I can only make the following suggestions:
It looks like you're using exact numbers. If this is necessary for your application, then there's probably not a lot you can do, but exact numbers usually slow things down substantially. If you can, use Real numbers (just place a dot after the numbers like {phi, 0., Pi/4., Pi/56.}. If you need more precision than that but don't necessarily require the infinite precision of exact numbers, you can also do this: {phi, 0`50, Pi/4`50, Pi/56`50}. This will give you 50 digits of precision to work with which should make your final answer pretty close to the exact answer.
The other thing I would try is:
XX1 = ParallelTable[
{XXXX[phi, theta, si]], phi, theta, si},
{phi, 0, Pi/4, Pi/56},
{theta, 0, ArcCot[Cos[phi]], ArcCot[Cos[phi]]/14},
{si, 0 Pi, 0 Pi, 0}
]
I think that ParallelTable is a better way to handle this than ParallelEvaluate. On a trial function, I see about a 100x speedup. ParallelEvaluate is simply evaluating your exact same function 4 times at each data point rather than splitting the task into multiple threads.
If you can, combine both things for the best speedup.
I hope this helps a bit! There are some people on here that are amazing at optimizing, perhaps they will be able to improve the speed even more. If it's possible, I would recommend posting your XXXX function unless it's insanely long.
edited 2 hours ago
Lukas Lang
6,6651930
answered 3 hours ago
MassDefectMassDefect
84128
edited 2 hours ago
Lukas Lang
6,6651930
edited 2 hours ago
Lukas Lang
6,6651930
edited 2 hours ago
Lukas Lang
6,6651930
6,6651930
answered 3 hours ago
MassDefectMassDefect
84128
answered 3 hours ago
MassDefectMassDefect
84128
answered 3 hours ago
MassDefectMassDefect
84128
84128
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
1
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Codewithaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)
$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
add a comment |
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
1
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Codewithaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)
$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
$begingroup$
Thanks @LukasLang ! How do you type grave accents without it interpreting them as the inline code markers? I tried backslashes before them, but that didn’t help.
$endgroup$
– MassDefect
2 hours ago
1
1
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Code
withaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
You have to increase the amount of enclosing accents: ``` `` Code
withaccents`` ```. If you need double accents, you enclose the code with three, and so on (edit: for some reason, it doesn't work in the comment section - but you can edit your answer to see how it's done)$endgroup$
– Lukas Lang
2 hours ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
@LukasLang Oh, I see! Thanks!
$endgroup$
– MassDefect
1 hour ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
$begingroup$
Thanks both of you. three points 1. I do not necessary need to use exact values of (theta, phi) if it can speed up, can use ".". 2. I tried to use ParalleleTable first, but in contrast to your experience, it took 30h/48h for 4/2 processor computer as compared to 8h/7h for ParallelEvaluate. 4 - 8 times slower. 3. How can I combine both...you mean ParallelTable[ParallelEvaluate[. ??
$endgroup$
– user49535
22 mins ago
add a comment |
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