Profiling results ----------------- Total cpu time observed: 25290ms (out of 25848ms) Number of samples taken: 103 (once every 246ms) (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 ====================================================================== ??? [35] 100.0% [1] 24470(96.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [35] 100.0% [2] 13556(53.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 87.9% get-final-combination [9] 9.1% setup-prog [10] 1.5% loop [41] 1.5% ---------------------------------------------------------------------- simplify-alt [16] 1.7% loop [78] 8.4% ??? [35] 89.9% [3] 12116(47.9%) 284(1.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 54.6% for-loop [8] 29.7% iterate-egraph!5 [14] 11.7% loop [11] 1.7% ---------------------------------------------------------------------- f94 [64] 100.0% [4] 200(0.8%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [12] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 24470(96.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 11920(47.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 6614(26.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 3596(14.2%) 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] 1236(4.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 200(0.8%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [11] 200(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [17] 100.0% ---------------------------------------------------------------------- taylor-invert [4] 100.0% [12] 200(0.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [76] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [13] 11920(47.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 91.4% finalize-iter! [20] 3.6% gen-series! [22] 3.4% localize-error [25] 1.7% ---------------------------------------------------------------------- simplify [3] 12.2% for-loop [8] 30.9% simplify-expr [7] 56.9% [14] 11632(46.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 94.4% map-enodes [21] 3.6% *simplify-rules* [23] 1.9% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [15] 1236(4.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [78] 82.5% loop [24] 17.5% ---------------------------------------------------------------------- setup-prog [10] 100.0% [16] 200(0.8%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ---------------------------------------------------------------------- loop [11] 100.0% [17] 200(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [26] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 10986(43.4%) 442(1.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 51.1% loop [29] 42.8% apply-match [36] 2.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [19] 10896(43.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [20] 424(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [21] 424(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [78] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [22] 400(1.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [23] 222(0.9%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [32] 100.0% ---------------------------------------------------------------------- extract-alt [15] 100.0% [24] 216(0.9%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [33] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [25] 200(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% ---------------------------------------------------------------------- pass [17] 100.0% [26] 200(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [34] 100.0% ---------------------------------------------------------------------- simplify! [19] 100.0% [27] 10896(43.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ---------------------------------------------------------------------- for-loop [28] 50.0% one-iter [18] 50.0% [28] 5618(22.2%) 1486(5.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [42] 36.8% ---------------------------------------------------------------------- one-iter [18] 100.0% [29] 4706(18.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ---------------------------------------------------------------------- finalize-iter! [20] 100.0% [30] 424(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 100.0% ---------------------------------------------------------------------- gen-series! [22] 100.0% [31] 400(1.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ---------------------------------------------------------------------- *simplify-rules* [23] 100.0% [32] 222(0.9%) 222(0.9%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- loop [24] 100.0% [33] 216(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [39] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [34] 200(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [40] 100.0% ---------------------------------------------------------------------- for-loop [27] 14.9% run [5] 42.0% [35] 25070(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.0% loop [41] 23.0% run-improve58 [2] 20.2% simplify [3] 14.9% ---------------------------------------------------------------------- one-iter [18] 4.5% loop [29] 95.5% [36] 4926(19.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [43] 38.6% match-e [42] 35.8% update-leader! [50] 17.1% substitute-e [46] 4.5% loop! [84] 4.1% ---------------------------------------------------------------------- ??? [30] 100.0% [37] 424(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ---------------------------------------------------------------------- for-loop [31] 100.0% [38] 400(1.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [45] 100.0% ---------------------------------------------------------------------- composed [33] 100.0% [39] 216(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [63] 100.0% ---------------------------------------------------------------------- argmin [34] 100.0% [40] 200(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.7% ??? [35] 98.3% [41] 11714(46.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [54] 51.4% loop [48] 32.8% loop [55] 15.8% ---------------------------------------------------------------------- for-loop [57] 13.1% apply-match [36] 20.4% for-loop [28] 66.6% [42] 5894(23.3%) 3128(12.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 44.7% for-loop [57] 9.3% ---------------------------------------------------------------------- merge-egraph-nodes! [43] 5.7% apply-match [36] 94.3% [43] 1902(7.5%) 222(0.9%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 82.6% merge-egraph-nodes! [43] 5.7% ---------------------------------------------------------------------- for-loop [37] 100.0% [44] 424(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% ---------------------------------------------------------------------- taylor-alt [38] 100.0% [45] 400(1.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% ---------------------------------------------------------------------- apply-match [36] 100.0% [46] 220(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [53] 100.0% ---------------------------------------------------------------------- expression-cost [40] 100.0% [47] 200(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [72] 100.0% ---------------------------------------------------------------------- loop [41] 100.0% [48] 3844(15.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 47.5% make-exacts* [54] 39.5% eval-prog [63] 13.0% ---------------------------------------------------------------------- match-e [42] 100.0% [49] 3204(12.7%) 1546(6.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 29.2% loop [78] 12.6% curried [60] 6.8% list-cartesian-product [61] 6.2% ---------------------------------------------------------------------- apply-match [36] 33.4% merge-egraph-nodes! [43] 66.6% [50] 2522(10.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 100.0% ---------------------------------------------------------------------- atab-add-altn [44] 100.0% [51] 424(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [58] 100.0% ---------------------------------------------------------------------- location-do [52] 33.3% for-loop [45] 66.7% [52] 400(1.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [59] 66.7% location-do [52] 33.3% ---------------------------------------------------------------------- substitute-e [46] 100.0% [53] 220(0.9%) 220(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- loop [48] 20.2% loop [41] 79.8% [54] 7542(29.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [78] 53.6% map [65] 43.5% eval-prog [63] 2.9% ---------------------------------------------------------------------- loop [48] 49.7% loop [41] 50.3% [55] 3672(14.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ---------------------------------------------------------------------- update-leader! [50] 100.0% [56] 2522(10.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [62] 100.0% ---------------------------------------------------------------------- match-e [42] 46.5% for-loop [49] 53.5% [57] 1938(7.7%) 398(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [42] 79.5% ---------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [58] 424(1.7%) 424(1.7%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- location-do [52] 100.0% [59] 400(1.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [64] 100.0% ---------------------------------------------------------------------- for-loop [49] 100.0% [60] 218(0.9%) 218(0.9%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- for-loop [49] 100.0% [61] 200(0.8%) 200(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- for-loop [56] 100.0% [62] 2522(10.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% ---------------------------------------------------------------------- errors [39] 23.1% make-exacts* [54] 23.3% loop [48] 53.5% [63] 934(3.7%) 216(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [72] 46.0% inductor [67] 30.8% ---------------------------------------------------------------------- f94 [64] 16.7% map [65] 16.7% approximate9 [59] 66.7% [64] 400(1.6%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 66.7% f94 [64] 16.7% taylor-invert [4] 16.7% ---------------------------------------------------------------------- f94 [64] 5.4% make-exacts* [54] 44.6% loop [55] 49.9% [65] 7354(29.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [78] 94.6% ??? [69] 2.7% f94 [64] 2.7% ---------------------------------------------------------------------- for-loop [62] 100.0% [66] 2522(10.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [68] 100.0% ---------------------------------------------------------------------- eval-prog [63] 33.3% inductor [67] 66.7% [67] 288(1.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [67] 66.7% integer->bigfloat [70] 33.3% ---------------------------------------------------------------------- hash-update! [66] 100.0% [68] 2522(10.0%) 222(0.9%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [71] 91.2% ---------------------------------------------------------------------- loop [78] 50.0% map [65] 50.0% [69] 400(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor [73] 50.0% hash-ref! [72] 50.0% ---------------------------------------------------------------------- inductor [67] 100.0% [70] 288(1.1%) 288(1.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- ??? [68] 100.0% [71] 2300(9.1%) 1880(7.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [87] 18.3% ---------------------------------------------------------------------- compile [47] 4.0% localize-error [25] 6.0% eval-prog [63] 17.3% ??? [69] 18.1% ??? [74] 20.1% loop [78] 34.5% [72] 830(3.3%) 200(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [74] 54.6% parse-loop12 [76] 24.1% bigfloat-hash [75] 17.3% ---------------------------------------------------------------------- ??? [69] 100.0% [73] 200(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [77] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [74] 630(2.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [78] 68.3% hash-ref! [72] 31.7% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [75] 430(1.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [79] 50.7% bfcanonicalize [80] 49.3% ---------------------------------------------------------------------- hash-ref! [72] 50.0% simplify [12] 50.0% [76] 400(1.6%) 200(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [78] 50.0% ---------------------------------------------------------------------- taylor [73] 100.0% [77] 200(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [81] 100.0% ---------------------------------------------------------------------- make-exacts* [54] 0.0% parse-loop12 [76] 0.1% loop! [84] 0.4% map [65] 1.4% map-enodes [21] 1.7% for-loop [49] 3.0% extract-alt [15] 3.1% ??? [74] 3.2% loop [78] 87.0% [78] 13272(52.5%) 404(1.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [78] 87.0% hash-ref! [72] 3.2% simplify [3] 3.1% for-loop [83] 1.7% ??? [82] 1.5% loop! [84] 0.4% ??? [69] 0.1% ---------------------------------------------------------------------- bigfloat-hash [75] 100.0% [79] 218(0.9%) 218(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bigfloat-hash [75] 100.0% [80] 212(0.8%) 212(0.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- debug-print [77] 100.0% [81] 200(0.8%) 200(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- loop [78] 100.0% [82] 10996(43.5%) 462(1.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 58.5% real->bigfloat [86] 16.8% ??? [99] 15.9% ...e/case-arrow.rkt:150:50 [88] 2.3% new [89] 2.1% ---------------------------------------------------------------------- loop [78] 100.0% [83] 424(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [90] 52.4% setfindf [91] 47.6% ---------------------------------------------------------------------- loop [78] 50.0% apply-match [36] 50.0% [84] 200(0.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [78] 50.0% update-en-expr [87] 50.0% ---------------------------------------------------------------------- ??? [82] 100.0% [85] 6438(25.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 65.8% bf* [92] 22.7% ...higher-order.rkt:373:33 [93] 11.5% ---------------------------------------------------------------------- ??? [82] 100.0% [86] 1852(7.3%) 278(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [102] 85.0% ---------------------------------------------------------------------- loop! [84] 32.3% for-loop [71] 67.7% [87] 620(2.5%) 620(2.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [82] 100.0% [88] 258(1.0%) 258(1.0%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- ??? [82] 100.0% [89] 234(0.9%) 234(0.9%) new ...cket/contract/private/case-arrow.rkt:227:53 ---------------------------------------------------------------------- for-loop [83] 100.0% [90] 222(0.9%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 parse-app [94] 100.0% ---------------------------------------------------------------------- for-loop [83] 100.0% [91] 202(0.8%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [95] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [92] 1462(5.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [93] 738(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ---------------------------------------------------------------------- eval-const-expr [90] 100.0% [94] 222(0.9%) 222(0.9%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- setfindf [91] 100.0% [95] 202(0.8%) 202(0.8%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ---------------------------------------------------------------------- bf* [92] 25.6% ??? [85] 74.4% [96] 5700(22.5%) 240(0.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [98] 87.5% bfsqr [100] 4.4% ??? [101] 3.9% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [93]100.0% [97] 738(2.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 100.0% ---------------------------------------------------------------------- ??? [96] 100.0% [98] 4990(19.7%) 4290(17.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 14.0% ---------------------------------------------------------------------- ??? [97] 29.6% ??? [82] 70.4% [99] 2490(9.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ---------------------------------------------------------------------- ??? [96] 100.0% [100] 248(1.0%) 248(1.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------- ??? [96] 8.2% ??? [99] 91.8% [101] 2712(10.7%) 460(1.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 83.0% ---------------------------------------------------------------------- bfsub [98] 30.8% real->bigfloat [86] 69.2% [102] 2274(9.0%) 2274(9.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [101] 100.0% [103] 2252(8.9%) 1948(7.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 13.5% ---------------------------------------------------------------------- ??? [103] 100.0% [104] 304(1.2%) 304(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------