BUILT-IN MATHEMATICA SYMBOL
is an option for various algorithmic functions which specifies how long to spend trying a particular transformation or part of an algorithm.
- TimeConstraint->t specifies that a maximum of t seconds of CPU time should be spent trying a particular transformation or part of an algorithm.
- TimeConstraint->Infinity specifies that there should be no limit on the CPU time allowed.
- In functions such as Simplify and FullSimplify, settings for TimeConstraint give only the maximum time to be spent doing a particular transformation on a particular subpart; the total time spent processing the whole expression may be considerably larger.
- Changing the setting for TimeConstraint will never affect the validity of a result obtained from functions like Simplify or FullSimplify, but smaller settings may prevent the simplest possible form from being found.
- Since different computer systems run at different speeds, the same setting for TimeConstraint can lead to different results on different systems.
This takes a long time, due to trigonometric expansion, but does not yield a simplification:
TimeConstraint limits the time spent on any single transformation:
A similar example, where the transformation yields a simplification:
In this case setting TimeConstraint prevents some simplification:
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