6f15d306-7b44-41c9-a9c3-2dc43f19cefc 6 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

Test vectors

n 110000 range :

A n el 1 - (n 1 +^n / :

v e π 2 sqrt i 22 mat :

B n el 109^random 109^/ eval :

Symbolic Evaluation

Timing

Numeric evaluation

Original sum

v sum 50000000000000 i * 363704402221097 + 50000000000000 /

v sum 7.2741 i +

to 0 time :

2 ln A sum (- 4.9997 105 -^*

0 time to - 0.216 s *

to 0 time :

B sum 4910.2341

0 time to - 0.547 s *

Well defined sum

x sum x 1 x length range el 1 x length 1 matrix + (* 11 line :

v sum e π + 2 sqrt + i +

v sum 7.2741 i +

to 0 time :

2 ln A sum (- 4.9997 105 -^*

0 time to - 0.453 s *

to 0 time :

B sum 4910.2341

0 time to - 0.459 s *

Bad defined sum

x sum x 1 x length range el 1 x length 1 matrix + (* eval 11 line :

v sum 50000000000000 i * 363704402221097 + 50000000000000 /

v sum 7.2741 i +

to 0 time :

2 ln A sum (- 4.9997 105 -^*

0 time to - 0.404 s *

to 0 time :

B sum 4910.2341

0 time to - 0.526 s *

My Conclusions

1. I expect the result painted in red as the value for sum(v)

2. Eval not always reduce the time, like the time marked with border

3. SMath sum have an unnecesary eval: it's result is the same as the bad defined sum.

Alvaro