Profiling results ----------------- Total cpu time observed: 22448ms (out of 22928ms) Number of samples taken: 90 (once every 249ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 22248(99.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 4794(21.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 87.3% get-final-combination [12] 12.7% ----------------------------------------------------------------------- loop [71] 18.3% ??? [33] 81.7% [3] 3338(14.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 49.8% for-loop [11] 31.0% iterate-egraph!5 [17] 19.2% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [4] 622(2.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 67.8% ??? [19] 32.2% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [5] 622(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [13] 67.8% parse-loop50 [74] 32.2% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [6] 422(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [7] 422(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 22248(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 4184(18.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 1662(7.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 86.8% loop [20] 13.2% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 1034(4.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 610(2.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ----------------------------------------------------------------------- simplify [5] 100.0% [13] 422(1.9%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [14] 422(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [72] 73.9% ??? [19] 26.1% ----------------------------------------------------------------------- ??? [7] 100.0% [15] 422(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [72] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [16] 4184(18.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 65.2% gen-series! [23] 14.9% finalize-iter! [24] 14.6% choose-best-alt! [25] 5.3% ----------------------------------------------------------------------- simplify [3] 20.6% for-loop [11] 33.2% simplify-expr [10] 46.2% [17] 3118(13.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 100.0% ----------------------------------------------------------------------- get-final-combination [12] 100.0% [18] 610(2.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [71] 100.0% ----------------------------------------------------------------------- ??? [4] 47.6% for-loop [14] 52.4% [19] 420(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [72] 100.0% ----------------------------------------------------------------------- simplify-expr [10] 100.0% [20] 220(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [26] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [21] 3118(13.9%) 208(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 54.1% loop [29] 39.3% ----------------------------------------------------------------------- run-iter! [16] 100.0% [22] 2728(12.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [23] 622(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [24] 612(2.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [25] 222(1.0%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [30] 100.0% ----------------------------------------------------------------------- loop [20] 100.0% [26] 220(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ----------------------------------------------------------------------- simplify! [22] 100.0% [27] 2728(12.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ----------------------------------------------------------------------- for-loop [28] 50.0% one-iter [21] 50.0% [28] 1686(7.5%) 200(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [40] 44.1% ----------------------------------------------------------------------- one-iter [21] 100.0% [29] 1224(5.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [34] 100.0% ----------------------------------------------------------------------- choose-best-alt! [25] 26.6% finalize-iter! [24] 73.4% [30] 834(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 73.4% atab-pick-alt8 [37] 26.6% ----------------------------------------------------------------------- gen-series! [23] 100.0% [31] 622(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- pass [26] 100.0% [32] 220(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [38] 100.0% ----------------------------------------------------------------------- for-loop [27] 4.1% run [8] 47.5% [33] 22448(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.5% loop [39] 39.8% run-improve58 [2] 8.7% simplify [3] 4.1% ----------------------------------------------------------------------- loop [29] 100.0% [34] 1224(5.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [43] 49.2% match-e [40] 32.8% for-loop [45] 18.0% ----------------------------------------------------------------------- for-loop [31] 100.0% [35] 622(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [36] 612(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [37] 222(1.0%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [44] 100.0% ----------------------------------------------------------------------- for-loop [32] 100.0% [38] 220(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [46] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [39] 17654(78.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [57] 58.2% loop [47] 40.7% for-loop [55] 1.1% ----------------------------------------------------------------------- apply-match [34] 16.0% for-loop [59] 16.7% for-loop [28] 67.3% [40] 1888(8.4%) 622(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [48] 44.2% for-loop [59] 17.6% loop [71] 5.3% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [41] 622(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ----------------------------------------------------------------------- for-loop [36] 100.0% [42] 612(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 66.0% override-at-pnts [54] 34.0% ----------------------------------------------------------------------- for-loop [56] 16.6% apply-match [34] 83.4% [43] 602(2.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [51] 50.2% loop! [78] 33.2% for-loop [56] 16.6% ----------------------------------------------------------------------- atab-pick-alt8 [37] 100.0% [44] 222(1.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [52] 100.0% ----------------------------------------------------------------------- apply-match [34] 100.0% [45] 220(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [78] 100.0% ----------------------------------------------------------------------- argmin [38] 100.0% [46] 220(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [53] 100.0% ----------------------------------------------------------------------- loop [39] 100.0% [47] 7182(32.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [58] 61.1% make-exacts* [57] 38.9% ----------------------------------------------------------------------- match-e [40] 100.0% [48] 1044(4.7%) 212(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [71] 29.4% for-loop [59] 29.2% list-cartesian-product [63] 21.1% ----------------------------------------------------------------------- location-do [49] 16.2% for-loop [41] 83.8% [49] 622(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [60] 83.8% location-do [49] 16.2% ----------------------------------------------------------------------- atab-add-altn [42] 100.0% [50] 404(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [73] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [51] 402(1.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 100.0% ----------------------------------------------------------------------- ??? [44] 100.0% [52] 222(1.0%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [62] 100.0% ----------------------------------------------------------------------- expression-cost [46] 100.0% [53] 220(1.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [72] 100.0% ----------------------------------------------------------------------- atab-add-altn [42] 100.0% [54] 208(0.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [73] 100.0% ----------------------------------------------------------------------- loop [39] 100.0% [55] 202(0.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [64] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [56] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [43] 100.0% ----------------------------------------------------------------------- loop [47] 21.4% loop [39] 78.6% [57] 13066(58.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [71] 52.0% map [65] 48.0% ----------------------------------------------------------------------- loop [47] 100.0% [58] 4386(19.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ----------------------------------------------------------------------- for-loop [48] 48.1% match-e [40] 51.9% [59] 852(3.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 73.9% ??? [68] 26.1% ----------------------------------------------------------------------- location-do [49] 100.0% [60] 622(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [66] 100.0% ----------------------------------------------------------------------- update-leader! [51] 100.0% [61] 402(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ----------------------------------------------------------------------- best-alt [52] 100.0% [62] 222(1.0%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [69] 100.0% ----------------------------------------------------------------------- for-loop [48] 100.0% [63] 220(1.0%) 220(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- for-loop [55] 100.0% [64] 202(0.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [70] 100.0% ----------------------------------------------------------------------- f16 [13] 3.8% loop [58] 39.6% make-exacts* [57] 56.6% [65] 11074(49.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 93.9% parse-loop50 [74] 3.8% ??? [83] 2.3% ----------------------------------------------------------------------- approximate9 [60] 100.0% [66] 622(2.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% ----------------------------------------------------------------------- for-loop [61] 100.0% [67] 402(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [75] 100.0% ----------------------------------------------------------------------- for-loop [59] 100.0% [68] 222(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [76] 100.0% ----------------------------------------------------------------------- loop [62] 100.0% [69] 222(1.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [73] 100.0% ----------------------------------------------------------------------- for-loop [64] 100.0% [70] 202(0.9%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [92] 100.0% ----------------------------------------------------------------------- loop! [78] 0.1% make-exacts* [57] 0.1% extract-alt [18] 0.7% map [65] 0.8% match-e [40] 1.1% for-loop [48] 1.3% loop [71] 96.0% [71] 18416(82.0%) 612(2.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 96.0% ??? [83] 0.8% simplify [3] 0.7% loop! [78] 0.1% ->flonum [88] 0.0% ----------------------------------------------------------------------- ??? [82] 4.4% ??? [4] 8.4% for-loop [15] 12.4% for-loop [14] 12.4% ??? [19] 16.2% loop [66] 20.2% compile [53] 26.1% [72] 842(3.8%) 220(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 20.2% simplify [5] 20.2% ??? [6] 16.7% ??? [7] 12.4% ??? [82] 4.4% ----------------------------------------------------------------------- override-at-pnts [54] 24.9% composed [69] 26.6% best-and-tied-at-points [50] 48.4% [73] 834(3.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [77] 73.4% eval-prog [81] 26.6% ----------------------------------------------------------------------- simplify [5] 10.7% parse-loop50 [74] 21.4% map [65] 67.8% [74] 622(2.8%) 220(1.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-app [79] 43.2% parse-loop50 [74] 21.4% ----------------------------------------------------------------------- for-loop [67] 100.0% [75] 402(1.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 100.0% ----------------------------------------------------------------------- ??? [68] 100.0% [76] 222(1.0%) 222(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- errors [73] 100.0% [77] 612(2.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 100.0% ----------------------------------------------------------------------- loop [71] 23.8% merge-egraph-nodes! [43] 23.8% for-loop [45] 52.4% [78] 420(1.9%) 220(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [71] 23.8% set [85] 23.8% ----------------------------------------------------------------------- parse-loop50 [74] 100.0% [79] 402(1.8%) 402(1.8%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- hash-update! [75] 100.0% [80] 402(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [84] 100.0% ----------------------------------------------------------------------- errors [73] 100.0% [81] 222(1.0%) 222(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- hash-ref! [72] 100.0% [82] 220(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [72] 100.0% ----------------------------------------------------------------------- map [65] 1.5% for-loop [77] 3.5% loop [71] 95.1% [83] 17594(78.4%) 914(4.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [86] 78.3% real->bigfloat [87] 13.1% ->flonum [88] 2.3% ??? [99] 1.1% ----------------------------------------------------------------------- ??? [80] 100.0% [84] 402(1.8%) 200(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [89] 50.2% ----------------------------------------------------------------------- loop! [78] 100.0% [85] 200(0.9%) 200(0.9%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ??? [83] 100.0% [86] 13768(61.3%) 202(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 65.9% ...higher-order.rkt:373:33 [90] 14.3% bf* [94] 9.5% bfcube [91] 6.8% bf/ [93] 2.0% ----------------------------------------------------------------------- ??? [83] 100.0% [87] 2304(10.3%) 1820(8.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [102] 21.0% ----------------------------------------------------------------------- ??? [83] 46.6% loop [71] 53.4% [88] 880(3.9%) 236(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [92] 46.6% ??? [101] 26.6% ----------------------------------------------------------------------- for-loop [84] 100.0% [89] 202(0.9%) 202(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ??? [86] 100.0% [90] 1972(8.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 86.2% ??? [99] 13.8% ----------------------------------------------------------------------- ??? [86] 100.0% [91] 938(4.2%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [94] 78.7% ...ow-val-first.rkt:357:18 [95] 21.3% ----------------------------------------------------------------------- sample-default [70] 33.0% ->flonum [88] 67.0% [92] 612(2.7%) 612(2.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [86] 100.0% [93] 280(1.2%) 280(1.2%) bf/ ...th/private/bigfloat/bigfloat-mpfr.rkt:102:0 ----------------------------------------------------------------------- bfcube [91] 36.1% ??? [86] 63.9% [94] 2044(9.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [96] 100.0% ----------------------------------------------------------------------- bfcube [91] 100.0% [95] 200(0.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [97] 100.0% ----------------------------------------------------------------------- bf* [94] 18.4% ??? [86] 81.6% [96] 11114(49.5%) 3182(14.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [98] 46.2% bfsin [100] 16.9% ??? [101] 8.3% ----------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [95] 10.5% ...higher-order.rkt:373:33 [90] 89.5% [97] 1900(8.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 100.0% ----------------------------------------------------------------------- ??? [96] 100.0% [98] 5140(22.9%) 4868(21.7%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 5.3% ----------------------------------------------------------------------- ??? [83] 8.4% ...higher-order.rkt:373:33 [90] 11.5% ??? [97] 80.2% [99] 2370(10.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ----------------------------------------------------------------------- ??? [96] 100.0% [100] 1874(8.3%) 1398(6.2%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [102] 25.4% ----------------------------------------------------------------------- ->flonum [88] 6.6% ??? [96] 26.1% ??? [99] 67.3% [101] 3522(15.7%) 1684(7.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 52.2% ----------------------------------------------------------------------- bfdiv [98] 22.1% bfsin [100] 38.6% real->bigfloat [87] 39.3% [102] 1232(5.5%) 1232(5.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [101] 100.0% [103] 1838(8.2%) 518(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 71.8% ----------------------------------------------------------------------- ??? [103] 100.0% [104] 1320(5.9%) 1320(5.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------