FindInstance

The new function FindInstance gives, at most, the requested number of different numerical solutions to an equation or inequality. For problems in which the complete solution is not needed, finding instances of solutions can be much faster than trying to find the whole solution set. FindInstance works for all problems that Reduce can solve fully. It can also find instances for some problems that Reduce cannot solve.

Example: Comparing the Timing of a Solution with FindInstance

The following pair of inequalities was used to compare the speed of finding solutions with FindInstance and Reduce:

The bar chart shows the ratio of timing FindInstance and Reduce for finding 1-4 real solutions. Note that while FindInstance is far faster for finding one solution, it is quicker in this case to find multiple solutions by getting the general solution using Reduce.

Documentation from the Reference Guide FindInstance Reduce