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profile -- profile a function

Description

f = profile f -- replace a global function f by a profiled version.

The new function is the same as the old one, except that when the new function is run, it will record the number of times it is called and the total execution time. Use the command profileSummary to display the data recorded so far.

i1 : R = ZZ/31[x]

o1 = R

o1 : PolynomialRing
i2 : f = (x^110+1)*(x^13+1)

      123    110    13
o2 = x    + x    + x   + 1

o2 : R
i3 : time factor f
     -- used 0.056003 seconds

              2       2       2       2        2       4     3      2       
o3 = (x + 1)(x  + 4)(x  + 1)(x  + 2)(x  - 15)(x  + 8)(x  - 4x  + 11x  - 4x +
     ------------------------------------------------------------------------
         4     3     2            4     3     2            10     8      6  
     1)(x  + 9x  - 4x  + 9x + 1)(x  - 6x  - 2x  - 6x + 1)(x   - 9x  + 15x  -
     ------------------------------------------------------------------------
       4      2       10     8     6     4      2       10      8     6  
     2x  + 10x  + 1)(x   - 5x  - 8x  - 4x  - 13x  + 1)(x   + 13x  - 2x  +
     ------------------------------------------------------------------------
        4     2       10     8      6     4      2       10      8     6  
     15x  + 5x  + 1)(x   + 5x  + 15x  - 2x  + 13x  + 1)(x   + 11x  - 4x  -
     ------------------------------------------------------------------------
       4      2       10      8    6    4     2       10      8     6      4
     8x  - 11x  + 1)(x   - 10x  - x  - x  + 9x  + 1)(x   + 10x  - 2x  + 15x 
     ------------------------------------------------------------------------
         2       10      8     6     4     2       10     8    6    4      2
     - 9x  + 1)(x   - 13x  - 4x  - 8x  - 5x  + 1)(x   + 9x  - x  - x  - 10x 
     ------------------------------------------------------------------------
           10      8     6     4      2
     + 1)(x   - 11x  - 8x  - 4x  + 11x  + 1)

o3 : Expression of class Product
i4 : g = () -> factor f

o4 = g

o4 : FunctionClosure
i5 : g = profile g
--warning: g redefined

o5 = g

o5 : FunctionClosure
i6 : h = profile("h", () -> factor f)

o6 = h

o6 : FunctionClosure
i7 : for i to 10 do (g();h();h())
i8 : profileSummary
g: 11 times, used 0.720045 seconds
h: 22 times, used 1.45609 seconds

Ways to use profile :