Profiling results ----------------- Total cpu time observed: 20414ms (out of 20636ms) Number of samples taken: 87 (once every 235ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [7] 100.0% [1] 20010(98.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [2] 1828(9.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 86.8% iterate-egraph!5 [8] 13.2% ---------------------------------------------------------------------- loop [78] 100.0% [3] 1434(7.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [6] 100.0% ---------------------------------------------------------------------- copying-mergesort [54] 100.0% [4] 1276(6.3%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [63] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 20010(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [7] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [3] 47.5% simplify [2] 52.5% [6] 3020(14.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [8] 100.0% ---------------------------------------------------------------------- for-loop [36] 3.0% run [5] 47.5% [7] 20414(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.5% run-improve58 [9] 29.2% loop [11] 20.3% simplify [2] 3.0% ---------------------------------------------------------------------- simplify [2] 7.4% simplify-expr [6] 92.6% [8] 3262(16.0%) 294(1.4%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [10] 91.0% ---------------------------------------------------------------------- ??? [7] 100.0% [9] 12110(59.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [12] 40.8% finalize-table! [13] 30.4% for-loop [14] 25.4% loop [11] 3.4% ---------------------------------------------------------------------- iterate-egraph!5 [8] 100.0% [10] 2968(14.5%) 202(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [15] 85.7% loop [16] 7.5% ---------------------------------------------------------------------- run-improve58 [9] 4.7% ??? [7] 95.3% [11] 8714(42.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [17] 55.1% make-exacts* [25] 40.2% loop [26] 4.7% ---------------------------------------------------------------------- run-improve58 [9] 100.0% [12] 4942(24.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [18] 95.5% extract-alt [23] 4.5% ---------------------------------------------------------------------- run-improve58 [9] 100.0% [13] 3678(18.0%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [19] 100.0% ---------------------------------------------------------------------- run-improve58 [9] 100.0% [14] 3080(15.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ---------------------------------------------------------------------- for-loop [15] 46.1% one-iter [10] 53.9% [15] 2544(12.5%) 602(2.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [15] 46.1% match-e [21] 38.2% ---------------------------------------------------------------------- one-iter [10] 100.0% [16] 222(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [22] 100.0% ---------------------------------------------------------------------- loop [11] 100.0% [17] 4800(23.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [26] 72.7% make-exacts* [25] 18.3% eval-prog [68] 9.0% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [18] 4722(23.1%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [24] 100.0% ---------------------------------------------------------------------- finalize-table! [13] 100.0% [19] 3678(18.0%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [78] 49.9% for-loop [29] 22.3% ??? [37] 16.9% localize-error [30] 10.9% ---------------------------------------------------------------------- for-loop [14] 100.0% [20] 3080(15.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [27] 59.4% finalize-iter! [28] 27.5% gen-series! [32] 13.2% ---------------------------------------------------------------------- for-loop [39] 11.4% for-loop [15] 88.6% [21] 1942(9.5%) 1742(8.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [31] 16.5% for-loop [39] 5.1% ---------------------------------------------------------------------- loop [16] 100.0% [22] 222(1.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 mk-enode! [33] 100.0% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [23] 220(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [34] 100.0% ---------------------------------------------------------------------- split-table [18] 100.0% [24] 4722(23.1%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [35] 100.0% ---------------------------------------------------------------------- loop [17] 20.0% loop [11] 80.0% [25] 4382(21.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [78] 53.0% map [76] 47.0% ---------------------------------------------------------------------- loop [11] 10.5% loop [17] 89.5% [26] 3898(19.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [76] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [27] 1828(9.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [36] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [28] 846(4.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ---------------------------------------------------------------------- post-process [19] 100.0% [29] 822(4.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [38] 100.0% ---------------------------------------------------------------------- post-process [19] 50.0% loop [78] 50.0% [30] 800(3.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- match-e [21] 100.0% [31] 442(2.2%) 200(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [39] 54.8% ---------------------------------------------------------------------- run-iter! [20] 100.0% [32] 406(2.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [41] 100.0% ---------------------------------------------------------------------- apply-match [22] 100.0% [33] 222(1.1%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [42] 100.0% ---------------------------------------------------------------------- extract-alt [23] 100.0% [34] 220(1.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [40] 100.0% ---------------------------------------------------------------------- infer-splitpoints4 [24] 100.0% [35] 4722(23.1%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [43] 86.7% pick-errors [46] 9.0% err-lsts->split-indices [48] 4.3% ---------------------------------------------------------------------- simplify! [27] 100.0% [36] 1828(9.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [7] 100.0% ---------------------------------------------------------------------- post-process [19] 42.4% finalize-iter! [28] 57.6% [37] 1468(7.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [44] 100.0% ---------------------------------------------------------------------- f6 [71] 16.4% for-loop [29] 83.6% [38] 822(4.0%) 202(1.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [45] 75.4% loop [78] 8.2% f6 [71] 8.2% ---------------------------------------------------------------------- match-e [21] 45.2% for-loop [31] 54.8% [39] 442(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [21] 100.0% ---------------------------------------------------------------------- f6 [71] 47.9% loop [34] 52.1% [40] 422(2.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [60] 52.1% f6 [71] 47.9% ---------------------------------------------------------------------- gen-series! [32] 100.0% [41] 406(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [45] 100.0% ---------------------------------------------------------------------- mk-enode! [33] 100.0% [42] 222(1.1%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [47] 100.0% ---------------------------------------------------------------------- option-on-expr [35] 100.0% [43] 4096(20.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [49] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [44] 1468(7.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [50] 100.0% ---------------------------------------------------------------------- loop [78] 16.4% for-loop [41] 33.1% append-map [38] 50.5% [45] 1228(6.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [51] 100.0% ---------------------------------------------------------------------- option-on-expr [35] 100.0% [46] 424(2.1%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [52] 100.0% ---------------------------------------------------------------------- new-enode [42] 100.0% [47] 222(1.1%) 222(1.1%) mutable-set ...racket/private/set-types.rkt:1000:0 ---------------------------------------------------------------------- option-on-expr [35] 100.0% [48] 202(1.0%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [53] 100.0% ---------------------------------------------------------------------- sort-context-on-expr [43] 100.0% [49] 4096(20.1%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [54] 79.3% loop [59] 20.7% ---------------------------------------------------------------------- for-loop [44] 100.0% [50] 1468(7.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [55] 84.9% override-at-pnts [57] 15.1% ---------------------------------------------------------------------- taylor-alt [45] 100.0% [51] 1228(6.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [56] 100.0% ---------------------------------------------------------------------- pick-errors [46] 100.0% [52] 424(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [68] 100.0% ---------------------------------------------------------------------- err-lsts->split-indices [48] 100.0% [53] 202(1.0%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [58] 100.0% ---------------------------------------------------------------------- sort [49] 49.7% copying-mergesort [54] 50.3% [54] 3250(15.9%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [54] 50.3% loop [59] 39.9% jloop [4] 9.8% ---------------------------------------------------------------------- atab-add-altn [50] 100.0% [55] 1246(6.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 100.0% ---------------------------------------------------------------------- for-loop [51] 38.7% location-do [56] 61.3% [56] 1228(6.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [56] 61.3% approximate9 [61] 38.7% ---------------------------------------------------------------------- atab-add-altn [50] 100.0% [57] 222(1.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [60] 100.0% ---------------------------------------------------------------------- add-splitpoint [53] 100.0% [58] 202(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [62] 100.0% ---------------------------------------------------------------------- sort [49] 30.0% copying-mergesort [54] 70.0% [59] 2820(13.8%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [63] 92.1% ??? [80] 7.9% ---------------------------------------------------------------------- composed [40] 13.0% override-at-pnts [57] 13.2% best-and-tied-at-points [55] 73.8% [60] 1688(8.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [64] 75.0% eval-prog [68] 25.0% ---------------------------------------------------------------------- location-do [56] 100.0% [61] 1228(6.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [65] 34.0% f6 [71] 32.9% taylor [66] 16.6% loop [67] 16.4% ---------------------------------------------------------------------- for-loop [58] 100.0% [62] 202(1.0%) 202(1.0%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 ---------------------------------------------------------------------- jloop [4] 32.9% loop [59] 67.1% [63] 3874(19.0%) 220(1.1%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [68] 94.3% ---------------------------------------------------------------------- errors [60] 100.0% [64] 1266(6.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 82.5% ulp-difference [69] 17.5% ---------------------------------------------------------------------- approximate9 [61] 100.0% [65] 418(2.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [81] 52.2% hash-ref! [70] 47.8% ---------------------------------------------------------------------- approximate9 [61] 100.0% [66] 204(1.0%) 204(1.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 ---------------------------------------------------------------------- approximate9 [61] 100.0% [67] 202(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ---------------------------------------------------------------------- errors [60] 8.6% for-loop [52] 8.6% loop [17] 8.8% ??? [63] 74.1% [68] 4934(24.2%) 4500(22.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 8.8% ---------------------------------------------------------------------- for-loop [64] 100.0% [69] 222(1.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [75] 6.2% loop [67] 6.2% loop [78] 10.0% taylor-sqrt [65] 12.2% localize-error [30] 13.7% eval-prog [68] 16.5% ??? [82] 35.2% [70] 1636(8.0%) 202(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [71] 24.7% parse-loop12 [72] 24.2% bigfloat-hash [73] 16.5% simplify [81] 12.2% ??? [74] 10.0% ??? [75] 6.2% ---------------------------------------------------------------------- append-map [38] 1.8% composed [40] 1.8% approximate9 [61] 5.4% f6 [71] 7.2% simplify [81] 12.5% map [76] 14.3% hash-ref! [70] 57.0% [71] 1404(6.9%) 200(1.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [76] 74.9% f6 [71] 7.2% loop [78] 5.4% append-map [38] 3.6% composed [40] 1.8% ---------------------------------------------------------------------- simplify [81] 21.4% hash-ref! [70] 78.6% [72] 1018(5.0%) 218(1.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [78] 58.9% map [76] 19.6% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [73] 434(2.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [77] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [74] 218(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [78] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 202(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------- parse-loop12 [72] 2.1% f6 [71] 14.7% make-exacts* [25] 28.8% loop [26] 54.5% [76] 7158(35.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [78] 84.8% ??? [82] 8.1% f6 [71] 4.7% loop [79] 1.4% ---------------------------------------------------------------------- bigfloat-hash [73] 100.0% [77] 434(2.1%) 434(2.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- make-exacts* [25] 0.0% append-map [38] 0.9% map [76] 1.0% post-process [19] 1.5% ??? [74] 2.0% parse-loop12 [72] 2.2% f6 [71] 2.7% loop [78] 89.7% [78] 11136(54.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [78] 89.7% simplify [81] 2.7% ??? [82] 2.0% hash-ref! [70] 2.0% completely-simplify-alt [3] 1.3% ??? [80] 0.9% taylor-alt [45] 0.9% localize-error [30] 0.2% bffma [89] 0.1% ??? [93] 0.1% ->flonum [86] 0.0% ---------------------------------------------------------------------- map [76] 3.4% loop [79] 96.6% [79] 200(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [79] 96.6% ??? [83] 3.4% ---------------------------------------------------------------------- loop [59] 2.4% for-loop [64] 11.5% loop [78] 86.1% [80] 9084(44.5%) 1892(9.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 55.7% real->bigfloat [85] 11.5% ??? [94] 7.6% ->flonum [86] 4.4% ---------------------------------------------------------------------- hash-ref! [70] 24.3% taylor-sqrt [65] 26.5% loop [78] 49.1% [81] 822(4.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [71] 73.5% parse-loop12 [72] 26.5% ---------------------------------------------------------------------- loop [78] 39.6% map [76] 60.4% [82] 800(3.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 100.0% ---------------------------------------------------------------------- loop [79] 100.0% [83] 200(1.0%) 200(1.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ---------------------------------------------------------------------- ??? [80] 100.0% [84] 5062(24.8%) 644(3.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [91] 28.8% ??? [93] 18.6% ...higher-order.rkt:373:33 [87] 17.7% ...ow-val-first.rkt:357:18 [88] 13.1% bffma [89] 9.0% ---------------------------------------------------------------------- ??? [80] 100.0% [85] 1042(5.1%) 622(3.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 40.3% ---------------------------------------------------------------------- ??? [80] 46.4% loop [78] 53.6% [86] 862(4.2%) 462(2.3%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 46.4% ---------------------------------------------------------------------- ??? [84] 100.0% [87] 898(4.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 662(3.2%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [92] 100.0% ---------------------------------------------------------------------- loop [78] 30.4% ??? [84] 69.6% [89] 658(3.2%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [91] 100.0% ---------------------------------------------------------------------- ulp-difference [69] 35.7% ->flonum [86] 64.3% [90] 622(3.0%) 622(3.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- bffma [89] 31.1% ??? [84] 68.9% [91] 2118(10.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [93] 100.0% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [88] 42.4% ...higher-order.rkt:373:33 [87] 57.6% [92] 1560(7.6%) 246(1.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 84.2% ---------------------------------------------------------------------- loop [78] 11.6% ??? [84] 27.2% bf* [91] 61.2% [93] 3458(16.9%) 864(4.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [96] 54.3% ??? [95] 20.8% ---------------------------------------------------------------------- ??? [80] 34.4% ??? [92] 65.6% [94] 2002(9.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [93] 26.4% ??? [94] 73.6% [95] 2720(13.3%) 1552(7.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 42.9% ---------------------------------------------------------------------- ??? [93] 100.0% [96] 1876(9.2%) 1632(8.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 13.0% ---------------------------------------------------------------------- ??? [95] 100.0% [97] 1168(5.7%) 686(3.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 41.3% ---------------------------------------------------------------------- bfmul [96] 36.7% real->bigfloat [85] 63.3% [98] 664(3.3%) 664(3.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 482(2.4%) 482(2.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------