We have updated the OP with our latest results. Here is a summary of the results of runs for tests 0 through 49:
test time hps hops compares mem(bytes) total time time hopping not hopping
---- -------------- ------- ---------- ------------ ---------- -------------- -------------- -----------
0 0.3237 msecs 10,504 1 3 1032 323 95 228
1 0.2853 msecs 11,062 1 3 1032 285 90 194
2 0.2785 msecs 11,111 1 3 1032 278 90 188
3 1.8730 msecs 11,271 8 10 1032 1,873 709 1,163
4 1.8351 msecs 11,147 11 13 1032 1,835 986 848
5 2.1243 msecs 11,123 15 17 1032 2,124 1,348 775
6 5.2260 msecs 11,069 52 54 1032 5,226 4,697 528
7 3.9406 msecs 11,065 32 34 1032 3,940 2,891 1,048
8 4.6425 msecs 10,174 45 47 1032 4,642 4,423 219
9 46.8674 msecs 11,052 510 512 1032 46,867 46,146 721
10 84.2980 msecs 10,674 893 895 1032 84,298 83,661 636
11 122.2013 msecs 11,662 1413 1415 1032 122,201 121,162 1,039
12 257.2438 msecs 11,579 2976 2978 1032 257,243 257,019 224
13 514.6517 msecs 11,402 5840 5842 1032 514,651 512,196 2,455
14 501.1961 msecs 11,791 5901 5903 1032 501,196 500,466 729
15 1.1839 secs 11,886 14026 14028 1032 1,183,908 1,180,079 3,829
16 3.0370 secs 11,631 35249 35251 1032 3,037,005 3,030,586 6,419
17 5.6526 secs 11,230 63475 63477 1032 5,652,638 5,652,025 613
18 14.0759 secs 11,847 166753 166755 1032 14,075,930 14,075,708 222
19 15.5404 secs 11,922 185259 185261 1032 15,540,417 15,539,472 945
20 742.1446 msecs 11,882 8804 5677 32088 742,144 740,944 1,200
21 475.1973 msecs 11,881 5627 1903 32696 475,197 473,623 1,574
22 561.2366 msecs 11,555 6359 3169 33912 561,236 550,304 10,932
23 428.6246 msecs 11,867 5044 1167 36344 428,624 425,047 3,577
24 2.2156 secs 11,842 26026 22985 41208 2,215,606 2,197,825 17,780
25 350.9793 msecs 11,864 4025 695 50936 350,979 339,275 11,704
26 650.9386 msecs 11,695 7326 4443 70392 650,938 626,434 24,504
27 11.2562 secs 11,793 132214 128675 109304 11,256,223 11,211,378 44,845
28 4.5728 secs 11,819 52883 49679 187128 4,572,770 4,474,294 98,476
29 4.2294 secs 11,907 48300 45216 342776 4,229,449 4,056,522 172,927
30 10.6122 secs 11,759 124766 56010 62808 10,612,244 10,610,509 1,735
31 9.2328 secs 11,884 109705 41191 63416 9,232,760 9,231,168 1,592
32 14.3117 secs 11,922 170592 103053 64632 14,311,717 14,309,552 2,165
33 55.8702 secs 11,902 664893 596368 67064 55,870,151 55,862,085 8,066
34 22.1413 secs 11,923 263922 195453 71928 22,141,326 22,135,223 6,103
35 1.0531 mins 11,927 753508 683623 81656 63,186,883 63,175,281 11,602
36 28.3459 secs 11,924 337734 269198 101112 28,345,873 28,323,662 22,210
37 9.2387 mins 11,860 6573832 6505951 140024 554,319,152 554,275,660 43,492
38 11.2025 secs 11,926 132534 64338 217848 11,202,535 11,113,380 89,154
39 4.5557 mins 11,925 3257543 3189102 373496 273,342,973 273,170,580 172,393
40 13.1216 mins 11,927 9389808 7285993 124248 787,294,602 787,289,468 5,133
41 10.3313 mins 11,929 7394352 5292081 124856 619,880,117 619,878,329 1,787
42 3.8015 mins 11,935 2722138 620876 126072 228,090,413 228,087,570 2,842
43 5.7648 mins 11,924 4124314 2019820 128504 345,888,060 345,884,231 3,828
44 3.2043 mins 11,930 2293481 193018 133368 192,258,803 192,252,406 6,397
45 33.9166 mins 11,919 24254078 22153676 143096 2,034,994,703 2,034,982,887 11,815
46 47.9810 mins 11,922 34321486 32221012 162552 2,878,859,972 2,878,832,117 27,854
47 2.4000 hours 11,918 102968649 100868429 201464 8,639,864,920 8,639,820,958 43,962
48 4.1320 hours 11,924 177371081 175268406 279288 14,875,131,910 14,875,045,149 86,760
49 23.9987 hours 11,914 1029325281 1027225432 434936 86,395,345,966 86,395,170,751 175,214
============== ====== ============== ============== ===========
11,630 118,106,695,147 118,105,560,480 1,134,666
Where
test test number
time run time needed to find the private key
hps hops per second (averaged 11,630 on my laptop with a highly modified secp256k1 library)
hops total number of hops it took to find the private key
cmps total number of point comparisons it took to find the private key
mem amount of memory dynamically allocated during the run
total time total run time in msec
time hopping total time spent hopping in msec
not hopping the overhead (time not hopping) in msec