Profiling results ----------------- Total cpu time observed: 30220ms (out of 30904ms) Number of samples taken: 125 (once every 242ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [31] 100.0% [1] 28290(93.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [2] 10208(33.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 88.0% setup-prog [11] 4.1% loop [37] 4.0% get-final-combination [12] 3.9% ----------------------------------------------------------------------- loop [69] 5.5% simplify-alt [16] 5.7% ??? [31] 88.8% [3] 7334(24.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 63.4% iterate-egraph!5 [14] 25.7% for-loop [9] 10.9% ----------------------------------------------------------------------- loop [69] 100.0% [4] 400(1.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 75.0% map [64] 25.0% ----------------------------------------------------------------------- f66 [81] 100.0% [5] 220(0.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [10] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.3% [6] 28490(94.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 8984(29.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 4648(15.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 87.1% loop [15] 12.9% ----------------------------------------------------------------------- simplify [3] 100.0% [9] 800(2.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- location-do [49] 31.4% taylor-invert [5] 34.2% hash-ref! [70] 34.5% [10] 644(2.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f66 [81] 68.6% parse-loop12 [74] 31.4% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 420(1.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 400(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [13] 8984(29.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 72.5% finalize-iter! [20] 15.9% gen-series! [21] 7.2% localize-error [23] 4.5% ----------------------------------------------------------------------- for-loop [9] 11.9% simplify [3] 28.0% simplify-expr [8] 60.1% [14] 6734(22.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 100.0% ----------------------------------------------------------------------- simplify-expr [8] 100.0% [15] 600(2.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [22] 100.0% ----------------------------------------------------------------------- setup-prog [11] 100.0% [16] 420(1.4%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ----------------------------------------------------------------------- get-final-combination [12] 100.0% [17] 400(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 6734(22.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 60.7% loop [26] 36.0% loop [30] 3.3% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 6514(21.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [20] 1426(4.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [21] 644(2.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- loop [15] 100.0% [22] 600(2.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [23] 400(1.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [24] 6514(21.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ----------------------------------------------------------------------- for-loop [25] 47.3% one-iter [18] 52.7% [25] 4088(13.5%) 1042(3.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 47.3% match-e [38] 37.3% ----------------------------------------------------------------------- one-iter [18] 100.0% [26] 2424(8.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ----------------------------------------------------------------------- finalize-iter! [20] 100.0% [27] 1426(4.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 86.0% atab-add-altns [36] 14.0% ----------------------------------------------------------------------- gen-series! [21] 100.0% [28] 644(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ----------------------------------------------------------------------- pass [22] 100.0% [29] 600(2.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [35] 100.0% ----------------------------------------------------------------------- one-iter [18] 100.0% [30] 222(0.7%) 222(0.7%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- for-loop [24] 7.7% run [6] 46.1% [31] 28892(95.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.4% loop [37] 32.7% run-improve58 [2] 14.1% simplify [3] 7.7% ----------------------------------------------------------------------- loop [26] 100.0% [32] 2424(8.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [38] 33.8% merge-egraph-nodes! [48] 24.8% mk-enode! [42] 16.6% for-loop [43] 16.5% loop! [44] 8.3% ----------------------------------------------------------------------- ??? [27] 100.0% [33] 1226(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ----------------------------------------------------------------------- for-loop [28] 100.0% [34] 644(2.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ----------------------------------------------------------------------- for-loop [29] 100.0% [35] 600(2.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [41] 100.0% ----------------------------------------------------------------------- ??? [27] 100.0% [36] 200(0.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [31] 97.9% [37] 19088(63.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [53] 54.1% loop [45] 42.8% loop [54] 2.1% for-loop [52] 1.0% ----------------------------------------------------------------------- for-loop [55] 13.0% apply-match [32] 13.4% for-loop [25] 73.6% [38] 3866(12.8%) 1430(4.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 47.0% for-loop [55] 13.0% list-cartesian-product [59] 5.6% ----------------------------------------------------------------------- atab-add-altns [36] 14.0% for-loop [33] 86.0% [39] 1426(4.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% ----------------------------------------------------------------------- taylor-alt [34] 100.0% [40] 644(2.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ----------------------------------------------------------------------- argmin [35] 100.0% [41] 600(2.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [50] 100.0% ----------------------------------------------------------------------- apply-match [32] 100.0% [42] 402(1.3%) 202(0.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [51] 49.8% ----------------------------------------------------------------------- apply-match [32] 100.0% [43] 400(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [48] 100.0% ----------------------------------------------------------------------- apply-match [32] 100.0% [44] 202(0.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [69] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [45] 8164(27.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [54] 73.0% make-exacts* [53] 27.0% ----------------------------------------------------------------------- match-e [38] 100.0% [46] 2018(6.7%) 1202(4.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [55] 24.7% curried [61] 10.8% list-cartesian-product [59] 9.9% ----------------------------------------------------------------------- atab-add-altn [39] 100.0% [47] 1426(4.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 71.5% for-loop [60] 28.5% ----------------------------------------------------------------------- for-loop [43] 40.0% apply-match [32] 60.0% [48] 1000(3.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [57] 80.2% enode-merge! [63] 19.8% ----------------------------------------------------------------------- location-do [49] 38.0% for-loop [40] 62.0% [49] 644(2.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [58] 51.6% location-do [49] 38.0% simplify [10] 10.5% ----------------------------------------------------------------------- expression-cost [41] 100.0% [50] 600(2.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- mk-enode! [42] 100.0% [51] 200(0.7%) 200(0.7%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- loop [37] 100.0% [52] 200(0.7%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [62] 100.0% ----------------------------------------------------------------------- loop [45] 17.6% loop [37] 82.4% [53] 12526(41.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [69] 53.2% map [64] 46.8% ----------------------------------------------------------------------- loop [37] 6.4% loop [45] 93.6% [54] 6362(21.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 100.0% ----------------------------------------------------------------------- for-loop [46] 42.8% match-e [38] 57.2% [55] 1402(4.6%) 598(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 64.5% ----------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [56] 1020(3.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [65] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [48] 100.0% [57] 802(2.7%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [66] 100.0% ----------------------------------------------------------------------- location-do [49] 100.0% [58] 442(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [67] 50.2% f66 [81] 49.8% ----------------------------------------------------------------------- list-cartesian-product [59] 26.1% match-e [38] 26.1% for-loop [46] 47.8% [59] 418(1.4%) 418(1.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [59] 26.1% ----------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [60] 406(1.3%) 406(1.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [46] 100.0% [61] 218(0.7%) 218(0.7%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- for-loop [52] 100.0% [62] 200(0.7%) 200(0.7%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ----------------------------------------------------------------------- merge-egraph-nodes! [48] 100.0% [63] 198(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [68] 100.0% ----------------------------------------------------------------------- ??? [4] 1.6% f66 [81] 1.7% make-exacts* [53] 46.4% loop [54] 50.3% [64] 12648(41.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 96.7% f66 [81] 1.7% ->flonum [86] 1.6% ----------------------------------------------------------------------- errors [56] 100.0% [65] 1020(3.4%) 400(1.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [72] 60.8% ----------------------------------------------------------------------- update-leader! [57] 100.0% [66] 802(2.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [71] 100.0% ----------------------------------------------------------------------- approximate9 [58] 100.0% [67] 222(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ----------------------------------------------------------------------- enode-merge! [63] 100.0% [68] 198(0.7%) 198(0.7%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ----------------------------------------------------------------------- loop! [44] 0.2% make-exacts* [53] 0.3% ??? [72] 0.5% extract-alt [17] 0.7% map [64] 0.8% parse-loop12 [74] 1.0% loop [69] 96.5% [69] 19890(65.8%) 202(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 96.5% ??? [72] 1.1% ??? [4] 1.0% simplify [3] 0.7% real->bigfloat [79] 0.3% ??? [96] 0.1% ----------------------------------------------------------------------- ??? [77] 2.0% loop [67] 2.0% ??? [75] 8.2% ??? [76] 14.1% ??? [4] 16.4% localize-error [23] 16.4% compile [50] 40.9% [70] 1222(4.0%) 400(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [74] 32.7% ??? [75] 24.5% ??? [76] 14.1% ??? [77] 2.0% simplify [10] 2.0% ----------------------------------------------------------------------- for-loop [66] 100.0% [71] 802(2.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [73] 100.0% ----------------------------------------------------------------------- for-loop [65] 3.2% loop [69] 96.8% [72] 19508(64.6%) 1208(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 58.0% loop [69] 23.6% real->bigfloat [79] 7.2% ??? [96] 4.9% ----------------------------------------------------------------------- for-loop [71] 100.0% [73] 802(2.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 100.0% ----------------------------------------------------------------------- simplify [10] 33.6% hash-ref! [70] 66.4% [74] 602(2.0%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [69] 49.8% f66 [81] 33.6% loop [82] 16.6% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 400(1.3%) 200(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [70] 50.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [76] 222(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [77] 222(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- ??? [72] 100.0% [78] 11318(37.5%) 900(3.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bffma [83] 46.3% ??? [94] 19.3% ...ow-val-first.rkt:357:18 [90] 18.0% bf* [89] 8.4% ----------------------------------------------------------------------- ??? [72] 28.5% loop [69] 71.5% [79] 4940(16.3%) 3282(10.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 33.6% ----------------------------------------------------------------------- hash-update! [73] 100.0% [80] 802(2.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [84] 100.0% ----------------------------------------------------------------------- composed [85] 8.6% map [64] 11.4% approximate9 [58] 11.4% append-map [87] 17.2% simplify [10] 20.0% parse-loop12 [74] 31.4% [81] 644(2.1%) 222(0.7%) f66 ...t/collects/racket/match/compiler.rkt:499:40 composed [85] 40.0% append-map [87] 17.2% map [64] 11.4% taylor-invert [5] 11.4% gather-multiplicative-terms [88] 11.4% ----------------------------------------------------------------------- parse-loop12 [74] 1.7% loop [82] 98.3% [82] 200(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [82] 98.3% ->flonum [86] 1.7% ----------------------------------------------------------------------- ??? [78] 100.0% [83] 5236(17.3%) 798(2.6%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [89] 59.9% ...ow-val-first.rkt:357:18 [90] 24.9% ----------------------------------------------------------------------- ??? [80] 100.0% [84] 802(2.7%) 802(2.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- f66 [81] 100.0% [85] 424(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f66 [81] 52.4% free-variables [92] 47.6% ----------------------------------------------------------------------- map [64] 50.0% loop [82] 50.0% [86] 400(1.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 50.0% ??? [99] 50.0% ----------------------------------------------------------------------- f66 [81] 100.0% [87] 222(0.7%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f66 [81] 100.0% ----------------------------------------------------------------------- f66 [81] 100.0% [88] 220(0.7%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 compose [91] 100.0% ----------------------------------------------------------------------- ??? [78] 23.4% bffma [83] 76.6% [89] 4092(13.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [94] 100.0% ----------------------------------------------------------------------- bffma [83] 38.9% ??? [78] 61.1% [90] 3344(11.1%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [95] 100.0% ----------------------------------------------------------------------- gather-multiplicative-terms [88]100.0% [91] 220(0.7%) 220(0.7%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- composed [85] 100.0% [92] 202(0.7%) 202(0.7%) free-variables ...ock/herbie/src/programs.rkt:89:0 ----------------------------------------------------------------------- ->flonum [86] 100.0% [93] 200(0.7%) 200(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [78] 34.8% bf* [89] 65.2% [94] 6276(20.8%) 218(0.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [97] 72.6% ??? [99] 16.2% bfsqr [98] 7.8% ----------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [90] 100.0% [95] 3344(11.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [72] 17.9% loop [69] 20.1% ??? [95] 62.1% [96] 5386(17.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 100.0% ----------------------------------------------------------------------- ??? [94] 100.0% [97] 4556(15.1%) 1848(6.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 59.4% ----------------------------------------------------------------------- ??? [94] 100.0% [98] 488(1.6%) 488(1.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- ->flonum [86] 3.0% ??? [94] 15.4% ??? [96] 81.6% [99] 6600(21.8%) 3438(11.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 47.9% ----------------------------------------------------------------------- real->bigfloat [79] 38.0% bfadd [97] 62.0% [100] 4366(14.4%) 4366(14.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [99] 100.0% [101] 3162(10.5%) 1464(4.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 53.7% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 1698(5.6%) 1698(5.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------