Profiling results ----------------- Total cpu time observed: 106296ms (out of 109896ms) Number of samples taken: 403 (once every 264ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 106 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [30] 100.0% [1] 102616(96.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [2] 7942(7.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 46.5% loop [36] 38.7% get-final-combination [8] 12.0% setup-prog [10] 2.9% ------------------------------------------------------------------------ simplify-alt [15] 6.3% loop [64] 25.7% ??? [30] 68.0% [3] 3698(3.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 75.0% iterate-egraph!5 [13] 18.6% for-loop [9] 6.5% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [4] 218(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.5% [5] 103142(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [6] 3690(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [7] 2772(2.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 92.1% loop [16] 7.9% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 950(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 240(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 232(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [15] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [11] 218(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [70] 100.0% ------------------------------------------------------------------------ for-loop [6] 100.0% [12] 3690(3.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 68.2% finalize-iter! [19] 19.4% gen-series! [20] 12.4% ------------------------------------------------------------------------ for-loop [9] 6.9% simplify [3] 19.7% simplify-expr [7] 73.4% [13] 3480(3.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 86.8% map-enodes [21] 13.2% ------------------------------------------------------------------------ get-final-combination [8] 100.0% [14] 950(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [64] 100.0% ------------------------------------------------------------------------ setup-prog [10] 100.0% [15] 232(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------ simplify-expr [7] 100.0% [16] 218(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [22] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [13] 100.0% [17] 3022(2.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 69.2% loop [26] 22.9% loop [28] 7.9% ------------------------------------------------------------------------ run-iter! [12] 100.0% [18] 2516(2.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ------------------------------------------------------------------------ run-iter! [12] 100.0% [19] 716(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% ------------------------------------------------------------------------ run-iter! [12] 100.0% [20] 458(0.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [13] 100.0% [21] 458(0.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [64] 100.0% ------------------------------------------------------------------------ loop [16] 100.0% [22] 218(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ------------------------------------------------------------------------ simplify! [18] 100.0% [23] 2516(2.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ------------------------------------------------------------------------ for-loop [24] 50.0% one-iter [17] 50.0% [24] 2092(2.0%) 946(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [31] 27.4% ------------------------------------------------------------------------ finalize-iter! [19] 100.0% [25] 716(0.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ------------------------------------------------------------------------ one-iter [17] 100.0% [26] 692(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ------------------------------------------------------------------------ gen-series! [20] 100.0% [27] 458(0.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ------------------------------------------------------------------------ one-iter [17] 100.0% [28] 238(0.2%) 238(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ pass [22] 100.0% [29] 218(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [35] 100.0% ------------------------------------------------------------------------ for-loop [23] 0.8% run [5] 48.6% [30] 105822(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.1% loop [36] 47.8% run-improve58 [2] 3.4% simplify [3] 0.8% ------------------------------------------------------------------------ for-loop [46] 10.4% for-loop [24] 89.6% [31] 1146(1.1%) 690(0.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [40] 20.8% for-loop [46] 19.0% ------------------------------------------------------------------------ ??? [25] 100.0% [32] 716(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ------------------------------------------------------------------------ loop [26] 100.0% [33] 692(0.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [39] 65.9% loop! [71] 34.1% ------------------------------------------------------------------------ for-loop [27] 100.0% [34] 458(0.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ------------------------------------------------------------------------ for-loop [29] 100.0% [35] 218(0.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [41] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 3.0% ??? [30] 97.0% [36] 100950(95.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 48.8% make-exacts* [50] 31.6% loop [51] 18.3% for-loop [43] 1.3% ------------------------------------------------------------------------ for-loop [32] 100.0% [37] 716(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ------------------------------------------------------------------------ taylor-alt [34] 100.0% [38] 458(0.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ------------------------------------------------------------------------ apply-match [33] 100.0% [39] 456(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 52.2% loop! [71] 47.8% ------------------------------------------------------------------------ match-e [31] 100.0% [40] 238(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [46] 50.0% loop [48] 50.0% ------------------------------------------------------------------------ argmin [35] 100.0% [41] 218(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [49] 100.0% ------------------------------------------------------------------------ loop [36] 100.0% [42] 49226(46.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 56.8% make-exacts* [50] 41.3% eval-prog [57] 1.9% ------------------------------------------------------------------------ loop [36] 100.0% [43] 1286(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [52] 100.0% ------------------------------------------------------------------------ atab-add-altn [37] 100.0% [44] 716(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [53] 100.0% ------------------------------------------------------------------------ for-loop [38] 100.0% [45] 458(0.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 100.0% ------------------------------------------------------------------------ match-e [31] 47.8% for-loop [40] 52.2% [46] 456(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [31] 52.2% ??? [55] 47.8% ------------------------------------------------------------------------ merge-egraph-nodes! [39] 100.0% [47] 238(0.2%) 238(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------------ for-loop [40] 100.0% [48] 238(0.2%) 238(0.2%) loop ...e/racket/collects/racket/function.rkt:53:6 ------------------------------------------------------------------------ expression-cost [41] 100.0% [49] 218(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [70] 100.0% ------------------------------------------------------------------------ loop [42] 38.9% loop [36] 61.1% [50] 52286(49.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [64] 50.0% map [56] 49.1% eval-prog [57] 0.8% ------------------------------------------------------------------------ loop [36] 39.8% loop [42] 60.2% [51] 46440(43.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ------------------------------------------------------------------------ for-loop [43] 100.0% [52] 1286(1.2%) 526(0.5%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [59] 36.1% sample-default [60] 23.0% ------------------------------------------------------------------------ best-and-tied-at-points [44] 100.0% [53] 716(0.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 66.8% eval-prog [57] 33.2% ------------------------------------------------------------------------ location-do [45] 100.0% [54] 458(0.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor [61] 52.4% loop [63] 47.6% ------------------------------------------------------------------------ for-loop [46] 100.0% [55] 218(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [62] 100.0% ------------------------------------------------------------------------ make-exacts* [50] 35.6% loop [51] 64.4% [56] 72126(67.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [64] 98.0% ??? [68] 2.0% ------------------------------------------------------------------------ errors [53] 14.7% make-exacts* [50] 27.4% loop [42] 57.9% [57] 1620(1.5%) 478(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 55.7% go [66] 14.8% ------------------------------------------------------------------------ errors [53] 100.0% [58] 478(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [68] 100.0% ------------------------------------------------------------------------ for-loop [52] 100.0% [59] 464(0.4%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [65] 100.0% ------------------------------------------------------------------------ for-loop [52] 100.0% [60] 296(0.3%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [80] 100.0% ------------------------------------------------------------------------ approximate9 [54] 100.0% [61] 240(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [67] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [62] 218(0.2%) 218(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ approximate9 [54] 100.0% [63] 218(0.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ------------------------------------------------------------------------ loop! [71] 0.1% map-enodes [21] 0.1% ??? [68] 0.4% extract-alt [14] 0.5% ??? [78] 0.9% make-exacts* [50] 1.0% map [56] 2.5% loop [64] 94.7% [64] 99156(93.3%) 3936(3.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [64] 94.7% ??? [68] 3.4% hash-ref! [70] 0.9% simplify [3] 0.5% ??? [96] 0.2% real->bigfloat [76] 0.1% loop! [71] 0.1% for-loop [74] 0.0% ->flonum [69] 0.0% new [77] 0.0% ------------------------------------------------------------------------ sample-double [59] 100.0% [65] 464(0.4%) 464(0.4%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ------------------------------------------------------------------------ eval-prog [57] 100.0% [66] 240(0.2%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [72] 100.0% ------------------------------------------------------------------------ taylor [61] 100.0% [67] 240(0.2%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [73] 100.0% ------------------------------------------------------------------------ for-loop [58] 0.5% map [56] 1.5% loop [64] 98.0% [68] 95930(90.2%) 4026(3.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [75] 57.5% real->bigfloat [76] 15.8% loop [64] 14.5% ??? [96] 7.4% new [77] 0.2% ------------------------------------------------------------------------ loop [64] 100.0% [69] 2612(2.5%) 450(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [100] 63.9% ??? [80] 10.4% ??? [82] 8.5% ------------------------------------------------------------------------ for-loop [11] 4.1% ??? [86] 4.1% ??? [85] 4.1% loop [63] 4.1% compile [49] 4.1% ??? [78] 12.2% eval-prog [57] 22.5% loop [64] 44.9% [70] 1338(1.3%) 218(0.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [78] 57.2% bigfloat-hash [79] 22.5% ??? [85] 4.1% ??? [86] 4.1% ??? [4] 4.1% simplify [84] 4.1% ------------------------------------------------------------------------ merge-egraph-nodes! [39] 24.0% apply-match [33] 26.0% loop [64] 50.0% [71] 454(0.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [64] 50.0% set [81] 50.0% ------------------------------------------------------------------------ go [66] 100.0% [72] 240(0.2%) 240(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 ------------------------------------------------------------------------ debug-print [67] 100.0% [73] 240(0.2%) 240(0.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ loop [64] 100.0% [74] 220(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [83] 100.0% ------------------------------------------------------------------------ ??? [68] 100.0% [75] 55118(51.9%) 1944(1.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 68.0% ...higher-order.rkt:373:33 [87] 21.3% bf* [88] 7.2% ------------------------------------------------------------------------ loop [64] 19.8% ??? [68] 80.2% [76] 18848(17.7%) 8134(7.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [101] 56.8% ------------------------------------------------------------------------ ??? [68] 17.9% loop [64] 82.1% [77] 1240(1.2%) 1240(1.2%) new ...cket/contract/private/case-arrow.rkt:227:53 ------------------------------------------------------------------------ hash-ref! [70] 100.0% [78] 1120(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [64] 80.5% hash-ref! [70] 19.5% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [79] 902(0.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [89] 74.5% sig+exp->bigfloat [90] 25.5% ------------------------------------------------------------------------ ->flonum [69] 47.9% sample-default [60] 52.1% [80] 568(0.5%) 568(0.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ loop! [71] 100.0% [81] 454(0.4%) 454(0.4%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ->flonum [69] 100.0% [82] 222(0.2%) 222(0.2%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ------------------------------------------------------------------------ for-loop [74] 100.0% [83] 220(0.2%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [91] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [84] 218(0.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [92] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [85] 218(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [86] 218(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ------------------------------------------------------------------------ ??? [75] 100.0% [87] 11758(11.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 82.2% ??? [96] 17.8% ------------------------------------------------------------------------ ??? [75] 100.0% [88] 3958(3.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [93] 100.0% ------------------------------------------------------------------------ bigfloat-hash [79] 100.0% [89] 672(0.6%) 672(0.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ bigfloat-hash [79] 100.0% [90] 230(0.2%) 230(0.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ setfindf [83] 100.0% [91] 220(0.2%) 220(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ------------------------------------------------------------------------ simplify [84] 100.0% [92] 218(0.2%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [95] 100.0% ------------------------------------------------------------------------ bf* [88] 9.6% ??? [75] 90.4% [93] 41416(39.0%) 11964(11.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [100] 34.0% bfadd [97] 26.7% bflog [98] 10.5% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [87]100.0% [94] 9666(9.1%) 1008(0.9%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 89.6% ------------------------------------------------------------------------ debug7 [92] 100.0% [95] 218(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [99] 100.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [87] 9.0% loop [64] 23.3% ??? [68] 30.6% ??? [94] 37.2% [96] 23290(21.9%) 464(0.4%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 98.0% ------------------------------------------------------------------------ ??? [93] 100.0% [97] 11046(10.4%) 5266(5.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [101] 52.3% ------------------------------------------------------------------------ ??? [93] 100.0% [98] 4338(4.1%) 2220(2.1%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [101] 48.8% ------------------------------------------------------------------------ ??? [95] 100.0% [99] 218(0.2%) 218(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------ ->flonum [69] 4.3% ??? [93] 36.5% ??? [96] 59.2% [100] 38562(36.3%) 19248(18.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [102] 47.6% ??? [103] 2.5% ------------------------------------------------------------------------ bflog [98] 11.4% bfadd [97] 31.1% real->bigfloat [76] 57.6% [101] 18612(17.5%) 18612(17.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [100] 100.0% [102] 18338(17.3%) 10426(9.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 43.1% ------------------------------------------------------------------------ ??? [100] 100.0% [103] 976(0.9%) 474(0.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [105] 51.4% ------------------------------------------------------------------------ ??? [102] 100.0% [104] 7912(7.4%) 7912(7.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------ ??? [103] 100.0% [105] 502(0.5%) 502(0.5%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------------