Profiling results ----------------- Total cpu time observed: 94780ms (out of 95696ms) Number of samples taken: 416 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 102 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [20] 100.0% [1] 88742(93.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [20] 100.0% [2] 17180(18.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [5] 70.2% for-loop [6] 20.4% loop [27] 8.1% setup-prog [7] 1.3% ---------------------------------------------------------------------- copying-mergesort [35] 100.0% [3] 3916(4.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [47] 89.5% ??? [57] 10.5% ---------------------------------------------------------------------- profile-thunk14 [1] 99.3% [4] 89376(94.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [20] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 12058(12.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [8] 98.3% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 3502(3.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 224(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [10] 100.0% ---------------------------------------------------------------------- get-final-combination [5] 100.0% [8] 11856(12.5%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [11] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [9] 3502(3.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 59.1% finalize-iter! [13] 17.8% localize-error [30] 17.0% gen-series! [14] 6.2% ---------------------------------------------------------------------- setup-prog [7] 100.0% [10] 224(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [29] 100.0% ---------------------------------------------------------------------- split-table [8] 100.0% [11] 11856(12.5%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [15] 80.1% loop [52] 16.6% exprs-to-branch-on [18] 3.4% ---------------------------------------------------------------------- run-iter! [9] 100.0% [12] 2070(2.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 622(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [17] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [14] 216(0.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ---------------------------------------------------------------------- loop [52] 17.1% infer-splitpoints4 [11] 82.9% [15] 11456(12.1%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [21] 90.6% pick-errors [22] 7.5% loop [52] 1.9% ---------------------------------------------------------------------- simplify! [12] 100.0% [16] 2070(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [20] 90.2% debug-print [26] 9.8% ---------------------------------------------------------------------- finalize-iter! [13] 100.0% [17] 622(0.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [23] 100.0% ---------------------------------------------------------------------- infer-splitpoints4 [11] 100.0% [18] 400(0.4%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:41:0 critical-subexpression [24] 100.0% ---------------------------------------------------------------------- gen-series! [14] 100.0% [19] 216(0.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [25] 100.0% ---------------------------------------------------------------------- for-loop [16] 0.7% run [4] 49.5% [20] 90430(95.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.8% loop [27] 41.1% run-improve58 [2] 9.4% simplify [29] 0.7% ---------------------------------------------------------------------- option-on-expr [15] 100.0% [21] 10376(10.9%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [28] 100.0% ---------------------------------------------------------------------- option-on-expr [15] 100.0% [22] 864(0.9%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [31] 100.0% ---------------------------------------------------------------------- ??? [17] 100.0% [23] 622(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ---------------------------------------------------------------------- exprs-to-branch-on [18] 100.0% [24] 400(0.4%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:49:0 localize-error [30] 100.0% ---------------------------------------------------------------------- for-loop [19] 100.0% [25] 216(0.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ---------------------------------------------------------------------- for-loop [16] 100.0% [26] 202(0.2%) 202(0.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- run-improve58 [2] 1.9% ??? [20] 98.1% [27] 74646(78.8%) 222(0.2%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [34] 45.4% make-exacts* [39] 38.5% loop [40] 15.8% ---------------------------------------------------------------------- sort-context-on-expr [21] 100.0% [28] 10376(10.9%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [35] 71.4% loop [41] 28.6% ---------------------------------------------------------------------- loop [52] 8.8% simplify-alt [10] 9.8% ??? [20] 81.4% [29] 2294(2.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [42] 63.9% simplify-expr [37] 26.3% loop [44] 9.8% ---------------------------------------------------------------------- critical-subexpression [24] 40.2% run-iter! [9] 59.8% [30] 994(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [82] 100.0% ---------------------------------------------------------------------- pick-errors [22] 100.0% [31] 864(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [53] 51.4% ??? [57] 48.6% ---------------------------------------------------------------------- for-loop [23] 100.0% [32] 622(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [36] 100.0% ---------------------------------------------------------------------- taylor-alt [25] 100.0% [33] 216(0.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ---------------------------------------------------------------------- loop [27] 100.0% [34] 33876(35.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [40] 60.0% make-exacts* [39] 39.4% eval-prog [53] 0.6% ---------------------------------------------------------------------- sort [28] 40.3% copying-mergesort [35] 59.7% [35] 7410(7.8%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [35] 59.7% loop [41] 27.0% jloop [3] 13.2% ---------------------------------------------------------------------- atab-add-altn [32] 100.0% [36] 622(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [43] 100.0% ---------------------------------------------------------------------- simplify [29] 100.0% [37] 604(0.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [42] 66.6% loop [44] 33.4% ---------------------------------------------------------------------- location-do [38] 50.0% for-loop [33] 50.0% [38] 216(0.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [38] 50.0% approximate9 [45] 50.0% ---------------------------------------------------------------------- loop [34] 31.7% loop [27] 68.3% [39] 42072(44.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [46] 54.7% loop [52] 44.8% eval-prog [53] 0.4% ---------------------------------------------------------------------- loop [27] 36.7% loop [34] 63.3% [40] 32150(33.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [46] 100.0% ---------------------------------------------------------------------- sort [28] 45.9% copying-mergesort [35] 54.1% [41] 6460(6.8%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [47] 100.0% ---------------------------------------------------------------------- simplify-expr [37] 21.5% simplify [29] 78.5% [42] 1868(2.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [48] 100.0% ---------------------------------------------------------------------- loop [52] 25.8% best-and-tied-at-points [36] 74.2% [43] 838(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [49] 100.0% ---------------------------------------------------------------------- simplify-expr [37] 47.4% simplify [29] 52.6% [44] 426(0.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [50] 100.0% ---------------------------------------------------------------------- location-do [38] 100.0% [45] 216(0.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [51] 100.0% ---------------------------------------------------------------------- ??? [58] 0.7% f6 [93] 1.4% make-exacts* [39] 40.8% loop [40] 57.0% [46] 56388(59.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 97.4% ??? [57] 0.8% ??? [58] 0.7% ->flonum [69] 0.7% parse-loop12 [87] 0.4% ---------------------------------------------------------------------- jloop [3] 35.2% loop [41] 64.8% [47] 9964(10.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [53] 95.8% ??? [57] 4.2% ---------------------------------------------------------------------- iterate-egraph!5 [42] 100.0% [48] 1868(2.0%) 434(0.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [54] 65.0% loop [56] 11.8% ---------------------------------------------------------------------- errors [43] 100.0% [49] 838(0.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [57] 74.2% ->flonum [69] 25.8% ---------------------------------------------------------------------- loop [44] 100.0% [50] 426(0.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [55] 100.0% ---------------------------------------------------------------------- approximate9 [45] 100.0% [51] 216(0.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [82] 100.0% ---------------------------------------------------------------------- f6 [93] 0.3% option-on-expr [15] 0.3% ??? [57] 0.3% parse-loop12 [87] 0.3% make-exacts* [39] 0.5% ??? [88] 1.1% map [46] 1.8% infer-splitpoints4 [11] 2.5% loop [52] 92.9% [52] 78196(82.5%) 212(0.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 92.9% option-on-expr [15] 2.5% ??? [57] 2.3% hash-ref! [82] 0.8% ??? [58] 0.3% errors [43] 0.3% simplify [65] 0.3% real->bigfloat [68] 0.3% simplify [29] 0.1% ??? [91] 0.0% ??? [85] 0.0% bf* [81] 0.0% ...ow-val-first.rkt:357:18 [83] 0.0% ->flonum [69] 0.0% ---------------------------------------------------------------------- make-exacts* [39] 1.7% loop [34] 1.9% for-loop [31] 4.3% ??? [47] 92.1% [53] 10364(10.9%) 7542(8.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [82] 8.0% go [59] 6.4% ??? [60] 4.4% new-lambda [61] 4.3% parse-app [64] 2.1% ---------------------------------------------------------------------- for-loop [54] 50.0% one-iter [48] 50.0% [54] 1214(1.3%) 812(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [54] 50.0% match-e [70] 16.6% ---------------------------------------------------------------------- pass [50] 100.0% [55] 426(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [62] 52.6% argmin [66] 47.4% ---------------------------------------------------------------------- one-iter [48] 100.0% [56] 220(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [63] 100.0% ---------------------------------------------------------------------- jloop [3] 0.5% for-loop [31] 0.6% ??? [47] 0.6% map [46] 0.6% for-loop [49] 0.8% loop [52] 96.9% [57] 75666(79.8%) 2398(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [67] 87.7% real->bigfloat [68] 6.7% loop [52] 1.7% ??? [91] 0.3% ->flonum [69] 0.3% ---------------------------------------------------------------------- map [46] 18.7% loop [52] 81.3% [58] 994(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [82] 74.9% map [46] 25.1% ---------------------------------------------------------------------- eval-prog [53] 100.0% [59] 666(0.7%) 422(0.4%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [72] 36.6% ---------------------------------------------------------------------- eval-prog [53] 100.0% [60] 460(0.5%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [71] 100.0% ---------------------------------------------------------------------- eval-prog [53] 100.0% [61] 442(0.5%) 202(0.2%) new-lambda ...ollects/racket/private/kw.rkt:631:11 loop [73] 54.3% ---------------------------------------------------------------------- for-loop [55] 100.0% [62] 224(0.2%) 224(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- loop [56] 100.0% [63] 220(0.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [70] 100.0% ---------------------------------------------------------------------- eval-prog [53] 100.0% [64] 218(0.2%) 218(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- loop [52] 100.0% [65] 216(0.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [93] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [66] 202(0.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [74] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [67] 66332(70.0%) 1488(1.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 87.8% bf* [81] 4.6% bffma [75] 3.0% ...higher-order.rkt:373:33 [76] 2.0% ...ow-val-first.rkt:357:18 [83] 0.3% ---------------------------------------------------------------------- loop [52] 17.6% ??? [57] 82.4% [68] 6114(6.5%) 4600(4.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 24.8% ---------------------------------------------------------------------- ??? [57] 19.6% for-loop [49] 20.0% loop [52] 23.7% map [46] 36.7% [69] 1080(1.1%) 624(0.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [77] 23.7% ??? [95] 18.5% ---------------------------------------------------------------------- apply-match [63] 35.4% for-loop [54] 64.6% [70] 622(0.7%) 202(0.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [78] 35.4% curry* [80] 32.2% ---------------------------------------------------------------------- ??? [60] 100.0% [71] 460(0.5%) 460(0.5%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ---------------------------------------------------------------------- loop [72] 50.0% go [59] 50.0% [72] 244(0.3%) 244(0.3%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [72] 50.0% ---------------------------------------------------------------------- new-lambda [61] 100.0% [73] 240(0.3%) 240(0.3%) loop .../collects/racket/private/stxcase.rkt:112:7 ---------------------------------------------------------------------- argmin [66] 100.0% [74] 202(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [79] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [75] 1982(2.1%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [81] 78.3% ...ow-val-first.rkt:357:18 [83] 21.7% ---------------------------------------------------------------------- ??? [67] 100.0% [76] 1330(1.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 80.3% ??? [91] 19.7% ---------------------------------------------------------------------- ->flonum [69] 100.0% [77] 256(0.3%) 256(0.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- match-e [70] 100.0% [78] 220(0.2%) 220(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- expression-cost [74] 100.0% [79] 202(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [82] 100.0% ---------------------------------------------------------------------- match-e [70] 100.0% [80] 200(0.2%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [84] 100.0% ---------------------------------------------------------------------- loop [52] 4.2% bffma [75] 32.1% ??? [67] 63.7% [81] 4838(5.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [85] 100.0% ---------------------------------------------------------------------- loop [51] 2.4% ??? [89] 7.2% compile [79] 9.0% eval-prog [53] 14.4% localize-error [30] 19.6% loop [52] 22.7% ??? [58] 24.7% [82] 2242(2.4%) 820(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [87] 33.6% ??? [88] 32.1% f6 [93] 13.1% ??? [89] 7.2% ---------------------------------------------------------------------- loop [52] 23.3% ??? [67] 25.9% bffma [75] 50.7% [83] 848(0.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [86] 100.0% ---------------------------------------------------------------------- curry* [80] 100.0% [84] 200(0.2%) 200(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- loop [52] 0.3% bf* [81] 7.6% ??? [67] 92.0% [85] 63264(66.7%) 49206(51.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [90] 15.6% bflog1p [92] 3.7% ??? [95] 2.9% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [83] 44.3% ...higher-order.rkt:373:33 [76] 55.7% [86] 1916(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [91] 100.0% ---------------------------------------------------------------------- map [46] 17.9% hash-ref! [82] 82.1% [87] 1210(1.3%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [52] 82.1% f6 [93] 17.9% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [88] 830(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [52] 100.0% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [89] 216(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [82] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [90] 9874(10.4%) 6842(7.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 30.7% ---------------------------------------------------------------------- loop [52] 7.1% ??? [57] 8.7% ...higher-order.rkt:373:33 [76] 10.1% ??? [86] 74.0% [91] 2588(2.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [92] 2368(2.5%) 1654(1.7%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 30.2% ---------------------------------------------------------------------- parse-loop12 [87] 8.8% simplify [65] 8.8% hash-ref! [82] 82.3% [93] 814(0.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [46] 82.3% loop [52] 8.8% composed [96] 8.8% ---------------------------------------------------------------------- bflog1p [92] 13.6% real->bigfloat [68] 28.8% bfadd [90] 57.6% [94] 5260(5.5%) 5260(5.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ->flonum [69] 4.3% ??? [85] 39.4% ??? [91] 56.2% [95] 4604(4.9%) 2012(2.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 56.3% ---------------------------------------------------------------------- f6 [93] 100.0% [96] 216(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [98] 100.0% ---------------------------------------------------------------------- ??? [95] 100.0% [97] 2592(2.7%) 1810(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 30.2% ---------------------------------------------------------------------- composed [96] 100.0% [98] 216(0.2%) 216(0.2%) free-variables ...ock/herbie/src/programs.rkt:89:0 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 782(0.8%) 782(0.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------