Profiling results ----------------- Total cpu time observed: 24292ms (out of 24496ms) Number of samples taken: 103 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [28] 100.0% [1] 23876(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [2] 16194(66.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 94.1% get-final-combination [9] 3.8% setup-prog [11] 2.1% ---------------------------------------------------------------------- loop [65] 4.4% ??? [28] 95.6% [3] 14136(58.2%) 368(1.5%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 48.3% iterate-egraph!5 [14] 24.3% for-loop [8] 23.4% loop [12] 1.4% ---------------------------------------------------------------------- f37 [82] 100.0% [4] 506(2.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 23876(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 15242(62.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 6824(28.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 3310(13.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 620(2.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ---------------------------------------------------------------------- taylor-invert [4] 100.0% [10] 506(2.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [72] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 332(1.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 ??? [26] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 200(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [16] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [13] 15242(62.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 88.7% gen-series! [19] 6.0% finalize-iter! [20] 5.4% ---------------------------------------------------------------------- for-loop [8] 24.4% simplify [3] 25.3% simplify-expr [7] 50.3% [14] 13568(55.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 95.3% map-enodes [21] 4.7% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [15] 620(2.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [65] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [16] 200(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [22] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [17] 13516(55.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 12926(53.2%) 460(1.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 45.7% loop [25] 37.5% apply-match [29] 11.5% ---------------------------------------------------------------------- run-iter! [13] 100.0% [19] 908(3.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [20] 818(3.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [21] 642(2.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [65] 65.4% for-loop [73] 34.6% ---------------------------------------------------------------------- pass [16] 100.0% [22] 200(0.8%) 200(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 ---------------------------------------------------------------------- simplify! [17] 100.0% [23] 13516(55.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ---------------------------------------------------------------------- for-loop [24] 48.3% one-iter [18] 51.7% [24] 5910(24.3%) 1658(6.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 48.3% match-e [34] 36.0% ---------------------------------------------------------------------- one-iter [18] 100.0% [25] 4846(19.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% ---------------------------------------------------------------------- setup-prog [11] 28.9% finalize-iter! [20] 71.1% [26] 1150(4.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 71.1% make-alt-table [32] 28.9% ---------------------------------------------------------------------- gen-series! [19] 100.0% [27] 908(3.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ---------------------------------------------------------------------- for-loop [23] 18.9% run [5] 40.4% [28] 24074(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.4% run-improve58 [2] 24.4% simplify [3] 18.9% loop [33] 16.4% ---------------------------------------------------------------------- one-iter [18] 23.5% loop [25] 76.5% [29] 6334(26.1%) 638(2.6%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [41] 33.7% match-e [34] 16.7% update-leader! [47] 13.3% for-loop [37] 9.8% mk-enode! [38] 6.7% loop! [71] 6.3% substitute-e [39] 3.5% ---------------------------------------------------------------------- for-loop [27] 100.0% [30] 908(3.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [31] 818(3.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [32] 332(1.4%) 0(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 errors [50] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [33] 7880(32.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [46] 60.7% loop [40] 39.3% ---------------------------------------------------------------------- for-loop [49] 12.1% apply-match [29] 17.9% for-loop [24] 70.0% [34] 5312(21.9%) 2918(12.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 28.6% loop [65] 10.2% list-cartesian-product [52] 8.4% filter [45] 3.8% ---------------------------------------------------------------------- taylor-alt [30] 100.0% [35] 908(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ---------------------------------------------------------------------- for-loop [31] 100.0% [36] 818(3.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ---------------------------------------------------------------------- apply-match [29] 100.0% [37] 620(2.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [41] 67.7% loop! [71] 32.3% ---------------------------------------------------------------------- apply-match [29] 100.0% [38] 422(1.7%) 422(1.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- apply-match [29] 100.0% [39] 220(0.9%) 220(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 ---------------------------------------------------------------------- loop [33] 100.0% [40] 3098(12.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 58.0% make-exacts* [46] 42.0% ---------------------------------------------------------------------- for-loop [54] 3.9% for-loop [37] 16.5% apply-match [29] 79.7% [41] 2552(10.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 47.5% for-loop [53] 24.4% loop! [71] 16.5% for-loop [54] 11.7% ---------------------------------------------------------------------- match-e [34] 100.0% [42] 1934(8.0%) 706(2.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 54.6% curry* [55] 10.4% list-cartesian-product [52] 10.3% ---------------------------------------------------------------------- location-do [43] 48.2% for-loop [35] 51.8% [43] 908(3.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [51] 51.8% location-do [43] 48.2% ---------------------------------------------------------------------- atab-add-altn [36] 100.0% [44] 818(3.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [50] 100.0% ---------------------------------------------------------------------- match-e [34] 100.0% [45] 200(0.8%) 200(0.8%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------- loop [40] 21.4% loop [33] 78.6% [46] 6082(25.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 59.6% loop [65] 36.4% eval-prog [59] 3.9% ---------------------------------------------------------------------- apply-match [29] 39.1% merge-egraph-nodes! [41] 60.9% [47] 2150(8.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 90.6% custom-set-union! [60] 9.4% ---------------------------------------------------------------------- loop [40] 100.0% [48] 1798(7.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [49] 1286(5.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 100.0% ---------------------------------------------------------------------- make-alt-table [32] 28.9% best-and-tied-at-points [44] 71.1% [50] 1150(4.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 100.0% ---------------------------------------------------------------------- location-do [43] 100.0% [51] 908(3.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [82] 55.7% taylor-sqrt [62] 22.2% loop [64] 22.0% ---------------------------------------------------------------------- for-loop [42] 15.5% match-e [34] 34.5% list-cartesian-product [52] 50.0% [52] 644(2.7%) 444(1.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [52] 50.0% for-loop [63] 15.5% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [53] 622(2.6%) 420(1.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [97] 32.5% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [54] 398(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [71] 50.3% merge-egraph-nodes! [41] 49.7% ---------------------------------------------------------------------- for-loop [42] 100.0% [55] 202(0.8%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [61] 100.0% ---------------------------------------------------------------------- f37 [82] 5.0% loop [48] 31.5% make-exacts* [46] 63.5% [56] 5710(23.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 95.0% ??? [68] 5.0% ---------------------------------------------------------------------- update-leader! [47] 100.0% [57] 1948(8.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 88.6% update-en-expr [97] 11.4% ---------------------------------------------------------------------- errors [50] 100.0% [58] 1150(4.7%) 332(1.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [69] 71.1% ---------------------------------------------------------------------- make-exacts* [46] 100.0% [59] 240(1.0%) 240(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- update-leader! [47] 100.0% [60] 202(0.8%) 202(0.8%) custom-set-union! ...t/private/set-types.rkt:246:0 ---------------------------------------------------------------------- curry* [55] 100.0% [61] 202(0.8%) 202(0.8%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- approximate9 [51] 100.0% [62] 202(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [67] 100.0% ---------------------------------------------------------------------- list-cartesian-product [52] 100.0% [63] 200(0.8%) 200(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- approximate9 [51] 100.0% [64] 200(0.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ---------------------------------------------------------------------- make-exacts* [46] 0.2% loop! [71] 0.3% map [56] 0.3% map-enodes [21] 0.5% extract-alt [15] 4.4% match-e [34] 6.7% loop [65] 87.6% [65] 9522(39.2%) 442(1.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 87.6% simplify [3] 4.4% curried [76] 2.1% for-loop [73] 0.5% ??? [69] 0.5% loop! [71] 0.3% ->flonum [74] 0.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [66] 1726(7.1%) 242(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 86.0% ---------------------------------------------------------------------- ??? [77] 24.9% loop [64] 24.9% ??? [75] 25.1% taylor-sqrt [62] 25.1% [67] 402(1.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [72] 50.0% ??? [75] 25.1% ??? [77] 24.9% ---------------------------------------------------------------------- map [56] 100.0% [68] 286(1.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f37 [82] 100.0% ---------------------------------------------------------------------- for-loop [58] 9.9% loop [65] 90.1% [69] 8242(33.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 74.3% real->bigfloat [79] 22.4% ??? [101] 3.3% ---------------------------------------------------------------------- for-loop [66] 100.0% [70] 1484(6.1%) 198(0.8%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 86.7% ---------------------------------------------------------------------- loop [65] 8.2% for-loop [54] 8.2% for-loop [37] 16.4% apply-match [29] 32.9% merge-egraph-nodes! [41] 34.4% [71] 1222(5.0%) 200(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [81] 83.6% loop [65] 8.2% ---------------------------------------------------------------------- hash-ref! [67] 44.3% first-nonzero-exp [10] 55.7% [72] 908(3.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [82] 55.7% debug7 [84] 22.2% debug-print [85] 22.0% ---------------------------------------------------------------------- map-enodes [21] 34.6% loop [65] 65.4% [73] 642(2.6%) 222(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [83] 34.6% setfindf [86] 30.8% ---------------------------------------------------------------------- loop [65] 100.0% [74] 216(0.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [102] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [75] 202(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [67] 100.0% ---------------------------------------------------------------------- loop [65] 100.0% [76] 200(0.8%) 200(0.8%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- hash-ref! [67] 100.0% [77] 200(0.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ---------------------------------------------------------------------- ??? [69] 100.0% [78] 6126(25.2%) 200(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 83.3% ??? [90] 10.1% ...higher-order.rkt:373:33 [92] 3.3% ---------------------------------------------------------------------- ??? [69] 100.0% [79] 1848(7.6%) 1848(7.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- hash-update! [70] 100.0% [80] 1286(5.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [88] 100.0% ---------------------------------------------------------------------- loop! [71] 100.0% [81] 1022(4.2%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [89] 100.0% ---------------------------------------------------------------------- ??? [68] 18.8% f37 [82] 26.1% simplify [72] 27.5% approximate9 [51] 27.5% [82] 506(2.1%) 220(0.9%) f37 ...t/collects/racket/match/compiler.rkt:499:40 taylor-invert [4] 27.5% f37 [82] 26.1% map [56] 18.8% parse-app [91] 18.8% ---------------------------------------------------------------------- for-loop [73] 100.0% [83] 222(0.9%) 222(0.9%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ---------------------------------------------------------------------- simplify [72] 100.0% [84] 202(0.8%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [93] 100.0% ---------------------------------------------------------------------- simplify [72] 100.0% [85] 200(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [94] 100.0% ---------------------------------------------------------------------- for-loop [73] 100.0% [86] 198(0.8%) 198(0.8%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- ??? [78] 100.0% [87] 5104(21.0%) 1866(7.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfcos [95] 26.1% ??? [102] 19.6% bfdiv [96] 17.7% ---------------------------------------------------------------------- ??? [80] 100.0% [88] 1286(5.3%) 820(3.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [97] 36.2% ---------------------------------------------------------------------- custom-set-union [81] 100.0% [89] 1022(4.2%) 822(3.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [99] 19.6% ---------------------------------------------------------------------- ??? [78] 100.0% [90] 618(2.5%) 618(2.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- f37 [82] 100.0% [91] 286(1.2%) 286(1.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- ??? [78] 100.0% [92] 204(0.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [98] 100.0% ---------------------------------------------------------------------- debug7 [84] 100.0% [93] 202(0.8%) 202(0.8%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ---------------------------------------------------------------------- debug-print [85] 100.0% [94] 200(0.8%) 200(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- ??? [87] 100.0% [95] 1334(5.5%) 1030(4.2%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [100] 22.8% ---------------------------------------------------------------------- ??? [87] 100.0% [96] 902(3.7%) 214(0.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 76.3% ---------------------------------------------------------------------- for-loop [53] 22.7% for-loop [57] 24.9% for-loop [88] 52.4% [97] 890(3.7%) 890(3.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [92]100.0% [98] 204(0.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [101] 100.0% ---------------------------------------------------------------------- for-loop [89] 100.0% [99] 200(0.8%) 200(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- bfcos [95] 30.6% bfdiv [96] 69.4% [100] 992(4.1%) 992(4.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [98] 43.2% ??? [69] 56.8% [101] 472(1.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [102] 100.0% ---------------------------------------------------------------------- ->flonum [74] 12.8% ??? [101] 27.9% ??? [87] 59.3% [102] 1690(7.0%) 948(3.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 43.9% ---------------------------------------------------------------------- ??? [102] 100.0% [103] 742(3.1%) 490(2.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 34.0% ---------------------------------------------------------------------- ??? [103] 100.0% [104] 252(1.0%) 252(1.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------