Profiling results ----------------- Total cpu time observed: 17552ms (out of 17900ms) Number of samples taken: 76 (once every 231ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [35] 100.0% [1] 17552(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ----------------------------------------------------------------------- ??? [35] 100.0% [2] 9022(51.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 71.0% finalize-table! [14] 19.4% loop [40] 7.0% get-final-combination [17] 2.7% ----------------------------------------------------------------------- loop [75] 4.3% ??? [35] 95.7% [3] 5574(31.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [13] 42.9% simplify-expr [12] 38.1% iterate-egraph!5 [18] 19.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [4] 642(3.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [75] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [5] 404(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [6] 404(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [7] 202(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [80] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [8] 202(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [80] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [9] 202(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [80] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 17552(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 6406(36.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [81] 29.8% simplify [3] 70.2% [12] 3022(17.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 2392(13.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 1746(9.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [20] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 404(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [80] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [16] 404(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [80] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 242(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ----------------------------------------------------------------------- simplify [3] 16.4% for-loop [13] 36.9% simplify-expr [12] 46.7% [18] 6474(36.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 96.9% map-enodes [28] 3.1% ----------------------------------------------------------------------- for-loop [11] 100.0% [19] 6406(36.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 83.2% finalize-iter! [24] 9.7% localize-error [25] 3.6% gen-series! [27] 3.4% ----------------------------------------------------------------------- finalize-table! [14] 100.0% [20] 1746(9.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [75] 51.5% for-loop [26] 23.1% localize-error [25] 12.7% ??? [32] 12.6% ----------------------------------------------------------------------- get-final-combination [17] 100.0% [21] 242(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [75] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [22] 6272(35.7%) 202(1.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 65.8% loop [31] 20.9% apply-match [36] 10.1% ----------------------------------------------------------------------- run-iter! [19] 100.0% [23] 5332(30.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [24] 622(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- post-process [20] 48.9% run-iter! [19] 51.1% [25] 454(2.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [80] 100.0% ----------------------------------------------------------------------- post-process [20] 100.0% [26] 404(2.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [27] 220(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [28] 202(1.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [75] 100.0% ----------------------------------------------------------------------- simplify! [23] 100.0% [29] 5332(30.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ----------------------------------------------------------------------- for-loop [30] 47.6% one-iter [22] 52.4% [30] 4126(23.5%) 1296(7.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 47.6% match-e [41] 34.3% ----------------------------------------------------------------------- one-iter [22] 100.0% [31] 1308(7.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ----------------------------------------------------------------------- post-process [20] 26.1% finalize-iter! [24] 73.9% [32] 842(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 76.0% atab-add-altns [39] 24.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [33] 404(2.3%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 100.0% ----------------------------------------------------------------------- gen-series! [27] 100.0% [34] 220(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ----------------------------------------------------------------------- for-loop [29] 10.1% run [10] 44.9% [35] 17552(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.9% loop [40] 24.3% run-improve58 [2] 20.6% simplify [3] 10.1% ----------------------------------------------------------------------- one-iter [22] 32.7% loop [31] 67.3% [36] 1944(11.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [41] 44.3% merge-egraph-nodes! [44] 22.7% substitute-e [45] 21.6% loop! [46] 11.3% ----------------------------------------------------------------------- ??? [32] 100.0% [37] 640(3.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ----------------------------------------------------------------------- for-loop [34] 35.3% append-map [33] 64.7% [38] 624(3.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [39] 202(1.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [42] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 6.9% ??? [35] 93.1% [40] 9158(52.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [47] 49.1% make-exacts* [56] 48.6% loop [57] 2.3% ----------------------------------------------------------------------- for-loop [59] 8.6% apply-match [36] 20.4% for-loop [30] 71.0% [41] 3692(21.0%) 2210(12.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [48] 28.8% list-cartesian-product [51] 11.4% loop [75] 3.0% ----------------------------------------------------------------------- atab-add-altns [39] 24.0% for-loop [37] 76.0% [42] 842(4.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 100.0% ----------------------------------------------------------------------- taylor-alt [38] 100.0% [43] 624(3.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ----------------------------------------------------------------------- apply-match [36] 100.0% [44] 442(2.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 50.2% enode-merge! [55] 49.8% ----------------------------------------------------------------------- apply-match [36] 100.0% [45] 420(2.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [52] 100.0% ----------------------------------------------------------------------- loop [75] 50.0% apply-match [36] 50.0% [46] 220(1.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [75] 50.0% custom-set-union [54] 50.0% ----------------------------------------------------------------------- loop [40] 100.0% [47] 4498(25.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [56] 54.2% loop [57] 36.4% eval-prog [66] 9.4% ----------------------------------------------------------------------- match-e [41] 100.0% [48] 1280(7.3%) 844(4.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [59] 42.0% ----------------------------------------------------------------------- atab-add-altn [42] 100.0% [49] 842(4.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [58] 76.0% for-loop [65] 24.0% ----------------------------------------------------------------------- location-do [50] 24.3% for-loop [43] 75.7% [50] 624(3.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [61] 40.5% simplify [60] 35.3% location-do [50] 24.3% ----------------------------------------------------------------------- match-e [41] 100.0% [51] 420(2.4%) 420(2.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- substitute-e [45] 100.0% [52] 420(2.4%) 420(2.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [53] 222(1.3%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [62] 100.0% ----------------------------------------------------------------------- loop! [46] 100.0% [54] 220(1.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [63] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [55] 220(1.3%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [64] 100.0% ----------------------------------------------------------------------- loop [47] 35.4% loop [40] 64.6% [56] 6892(39.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [72] 53.8% loop [75] 37.1% eval-prog [66] 9.1% ----------------------------------------------------------------------- loop [40] 11.3% loop [47] 88.7% [57] 1844(10.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [72] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [58] 640(3.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [66] 65.6% for-loop [69] 34.4% ----------------------------------------------------------------------- for-loop [48] 100.0% [59] 638(3.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 100.0% ----------------------------------------------------------------------- location-do [50] 35.3% hash-ref! [80] 64.7% [60] 624(3.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [86] 64.7% f6 [67] 35.3% ----------------------------------------------------------------------- location-do [50] 100.0% [61] 404(2.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [70] 50.0% taylor-sqrt [71] 50.0% ----------------------------------------------------------------------- update-leader! [53] 100.0% [62] 222(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [68] 100.0% ----------------------------------------------------------------------- custom-set-union [54] 100.0% [63] 220(1.3%) 220(1.3%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------- enode-merge! [55] 100.0% [64] 220(1.3%) 220(1.3%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ----------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [65] 202(1.2%) 202(1.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- errors [58] 28.6% loop [47] 28.8% make-exacts* [56] 42.6% [66] 1466(8.4%) 200(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [80] 71.4% go [74] 15.0% ----------------------------------------------------------------------- map [72] 16.3% simplify [60] 16.3% hash-ref! [80] 67.4% [67] 674(3.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [72] 100.0% ----------------------------------------------------------------------- for-loop [62] 100.0% [68] 222(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [73] 100.0% ----------------------------------------------------------------------- errors [58] 100.0% [69] 220(1.3%) 220(1.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- approximate9 [61] 100.0% [70] 202(1.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [80] 100.0% ----------------------------------------------------------------------- approximate9 [61] 100.0% [71] 202(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [80] 100.0% ----------------------------------------------------------------------- f6 [67] 10.8% loop [57] 29.6% make-exacts* [56] 59.6% [72] 6226(35.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [75] 91.0% ??? [76] 5.5% f6 [67] 1.8% parse-loop12 [86] 1.8% ----------------------------------------------------------------------- for-loop [68] 100.0% [73] 222(1.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [77] 100.0% ----------------------------------------------------------------------- eval-prog [66] 100.0% [74] 220(1.3%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [78] 100.0% ----------------------------------------------------------------------- make-exacts* [56] 0.1% parse-loop12 [86] 0.4% map [72] 1.8% map-enodes [28] 1.8% match-e [41] 2.0% loop! [46] 2.0% extract-alt [21] 2.2% post-process [20] 3.1% ??? [4] 5.8% loop [75] 80.7% [75] 10990(62.6%) 202(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [75] 80.7% hash-ref! [80] 5.8% completely-simplify-alt [81] 3.1% simplify [3] 2.2% loop! [46] 2.0% loop [83] 2.0% ??? [79] 1.5% ??? [94] 0.4% ->flonum [84] 0.3% ??? [76] 0.1% ----------------------------------------------------------------------- loop [75] 36.7% map [72] 63.3% [76] 454(2.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [80] 100.0% ----------------------------------------------------------------------- hash-update! [73] 100.0% [77] 222(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [82] 100.0% ----------------------------------------------------------------------- go [74] 20.0% loop [78] 80.0% [78] 220(1.3%) 220(1.3%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [78] 80.0% ----------------------------------------------------------------------- loop [75] 100.0% [79] 7904(45.0%) 200(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 94.5% real->bigfloat [88] 3.0% ----------------------------------------------------------------------- ??? [7] 2.1% ??? [8] 2.1% taylor-sqrt [71] 2.1% ??? [9] 2.7% loop [70] 2.7% for-loop [16] 4.8% for-loop [15] 4.8% localize-error [25] 8.4% ??? [76] 15.4% loop [75] 23.4% eval-prog [66] 31.5% [80] 1904(10.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [87] 31.5% ??? [4] 23.4% parse-loop12 [86] 13.1% f6 [67] 10.8% ??? [6] 4.8% ??? [5] 4.8% simplify [60] 4.8% ??? [9] 2.7% ??? [8] 2.1% ??? [7] 2.1% ----------------------------------------------------------------------- loop [75] 100.0% [81] 900(5.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [12] 100.0% ----------------------------------------------------------------------- ??? [77] 100.0% [82] 222(1.3%) 222(1.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop [75] 100.0% [83] 218(1.2%) 218(1.2%) loop ...e/racket/collects/racket/function.rkt:53:6 ----------------------------------------------------------------------- loop [75] 100.0% [84] 208(1.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 100.0% ----------------------------------------------------------------------- ??? [79] 100.0% [85] 7468(42.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [94] 93.8% bf* [92] 3.2% ...higher-order.rkt:373:33 [93] 3.0% ----------------------------------------------------------------------- parse-loop12 [86] 9.4% map [72] 20.4% simplify [60] 28.1% hash-ref! [80] 42.1% [86] 1078(6.1%) 624(3.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [75] 42.1% parse-loop12 [86] 9.4% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [87] 1046(6.0%) 220(1.3%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [90] 40.2% bfcanonicalize [91] 38.8% ----------------------------------------------------------------------- ??? [79] 100.0% [88] 236(1.3%) 236(1.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- ->flonum [84] 100.0% [89] 208(1.2%) 208(1.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- bigfloat-hash [87] 100.0% [90] 420(2.4%) 420(2.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- bigfloat-hash [87] 100.0% [91] 406(2.3%) 406(2.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- ??? [85] 100.0% [92] 242(1.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [94] 100.0% ----------------------------------------------------------------------- ??? [85] 100.0% [93] 224(1.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 100.0% ----------------------------------------------------------------------- bf* [92] 3.1% loop [75] 5.9% ??? [85] 91.0% [94] 7698(43.9%) 3348(19.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexp [96] 38.2% bfmul [97] 15.0% ??? [100] 3.3% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [93]100.0% [95] 224(1.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ----------------------------------------------------------------------- ??? [94] 100.0% [96] 2938(16.7%) 2022(11.5%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 31.2% ----------------------------------------------------------------------- ??? [94] 100.0% [97] 1158(6.6%) 1158(6.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ----------------------------------------------------------------------- ??? [95] 100.0% [98] 224(1.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ----------------------------------------------------------------------- bfexp [96] 100.0% [99] 916(5.2%) 916(5.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [98] 46.9% ??? [94] 53.1% [100] 478(2.7%) 254(1.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 46.9% ----------------------------------------------------------------------- ??? [100] 100.0% [101] 224(1.3%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 100.0% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 224(1.3%) 224(1.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------