Function parser for C++: Speed tests

In order to get an idea about the speed of the library, I made a small program which measures its parsing and evaluating speed. It does this by parsing the given function in a loop many times (for several seconds), measuring the total time spent, and then dividing this total time by the number of loops. The same is done for evaluating speed (both with default and optimized bytecodes). The speed of the Optimize() function was also measured.

The test was run on a 3.4GHz Pentium4 using gcc 3.3.5 with the compiler options -O3 -ffast-math -march=pentium4

Function: "((3*x^4-7*x^3+2*x^2-4*x+10) - (4*y^3+2*y^2-10*y+2))*10"

• Parse time: 17.7 microseconds (56 338 parses/s)
• Eval time: 0.74 microseconds (1 355 014 evals/s)
• Optimized: 0.66 microseconds (1 517 451 evals/s)
• Optimization time: 93.8 microseconds (10 661 optimizes/s)

Function: "((3*(x+(5*(y+2)-7*x)*3-y)+4*5+3)-7 + (8*x+5*y+(7-x))*4)-10*3+4"

• Parse time: 20.1 microseconds (49 628 parses/s)
• Eval time: 0.43 microseconds (2 314 815 evals/s)
• Optimized: 0.22 microseconds (4 545 455 evals/s)
• Optimization time: 89.1 microseconds (11 223 optimizes/s)

Function: "sin(sqrt(10-x*x+y*y)) + cos(sqrt(5-x*x-y*y)) + sin(x*x+y*y)"

• Parse time: 18.3 microseconds (54 496 parses/s)
• Eval time: 0.39 microseconds (2 577 320 evals/s)
• Optimized: 0.34 microseconds (2 976 190 evals/s)
• Optimization time: 80.5 microseconds (12 422 optimizes/s)

Function: "exp((-x*x-y*y)/100)*sin(sqrt(x*x+y*y))/(10*2) + sin(x^4-4*x^3+3*x^2-2*x+2*5-3) - cos(-2*y^4+5*y^3-14*x^2+8*x-120/2+4)"

• Parse time: 33.6 microseconds (29 718 parses/s)
• Eval time: 1.60 microseconds (625 782 evals/s)
• Optimized: 1.26 microseconds (796 178 evals/s)
• Optimization time: 169.8 microseconds (5 889 optimizes/s)