Since the result-picking is almost free in comparison to actually computing each result, the setup cost is paid off after less than 100 applications, and is certainly negligible in the above comparison where the each expression is run well over 10000 (1002) times. Instead, you pay though additional storage space being required:
Since the result-picking is almost free in comparison to actually computing each result, the setup cost is paid off after less than 100 applications, and is certainly negligible in the above comparison where the each expression is run well over 10000 (1002) times. Instead, you pay though additional storage space being required:
Since the result-picking is almost free in comparison to actually computing each result, the setup cost is paid off after less than 100 applications, and is certainly negligible in the above comparison where each expression is run well over 10000 (1002) times. Instead, you pay though additional storage space being required:
SinceIf you need to call the input domain is rather limitedfunction many (there are only 64 valid argumentsmore than 100) times, you can get the ultimate performance by pre-computing all the results (by any means). A function can lookThis is because the input domain is rather limited. With only 64 valid arguments, you pay a 64-fold setup cost, but after that, the only costs will be looking up itsan argument in a list of valid inputsarguments and then pickpicking the corresponding result from a list of results. However, in this case, where the argument already is a proper argument for ⊃, you can simply use the argument directly to pick a result from a vector of vectors of results, you can usethus avoiding even the argument directlylookup cost:
TheSince the result-picking is almost free in comparison to actually computing each result, the setup cost hereis paid off after less than 100 applications, and is certainly negligible in the above comparison where the each expression is run well over 10000 (1002) times. Instead, you pay though additional storage space being required:
It is interesting to note that just parsing the giant constant takes about as long as computing it.
Since the input domain is rather limited (there are only 64 valid arguments), you can get the ultimate performance by pre-computing all the results (by any means). A function can look up its argument a list of valid inputs and then pick the corresponding result from a list of results. However, in this case where the argument already is a proper argument for ⊃ to pick a result from a vector of vectors of results, you can use the argument directly:
The cost here is storage space:
If you need to call the function many (more than 100) times, you can get the ultimate performance by pre-computing all the results (by any means). This is because the input domain is rather limited. With only 64 valid arguments, you pay a 64-fold setup cost, but after that, the only costs will be looking up an argument in a list of valid arguments and then picking the corresponding result from a list of results. However, in this case, where the argument already is a proper argument for ⊃, you can simply use the argument directly to pick a result from a vector of vectors of results, thus avoiding even the lookup cost:
Since the result-picking is almost free in comparison to actually computing each result, the setup cost is paid off after less than 100 applications, and is certainly negligible in the above comparison where the each expression is run well over 10000 (1002) times. Instead, you pay though additional storage space being required:
It is interesting to note that just parsing the giant constant takes about as long as computing it.
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