Profiling results ----------------- Total cpu time observed: 19950ms (out of 20232ms) Number of samples taken: 92 (once every 217ms) (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 ====================================================================== ??? [22] 100.0% [1] 18650(93.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [22] 100.0% [2] 14304(71.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 98.6% loop [28] 1.4% ---------------------------------------------------------------------- ??? [22] 100.0% [3] 12838(64.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 50.2% iterate-egraph!5 [11] 25.0% for-loop [8] 24.8% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [4] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [9] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 18650(93.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 14104(70.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 6442(32.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 3190(16.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [9] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [12] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [10] 14104(70.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 92.4% gen-series! [15] 4.4% finalize-iter! [16] 3.1% ---------------------------------------------------------------------- for-loop [8] 24.8% simplify [3] 25.0% simplify-expr [7] 50.2% [11] 12838(64.4%) 220(1.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [14] 96.6% ---------------------------------------------------------------------- for-loop [9] 100.0% [12] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [67] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [13] 13038(65.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [17] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [14] 12396(62.1%) 424(2.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [18] 53.1% loop [19] 41.9% apply-match [23] 1.6% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 624(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [20] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [16] 442(2.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [21] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [17] 13038(65.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 98.5% debug-print [26] 1.5% ---------------------------------------------------------------------- for-loop [18] 43.5% one-iter [14] 56.5% [18] 6582(33.0%) 2528(12.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [18] 43.5% match-e [27] 30.8% ---------------------------------------------------------------------- one-iter [14] 100.0% [19] 5188(26.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [23] 100.0% ---------------------------------------------------------------------- gen-series! [15] 100.0% [20] 624(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ---------------------------------------------------------------------- finalize-iter! [16] 100.0% [21] 442(2.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 100.0% ---------------------------------------------------------------------- for-loop [17] 22.5% run [5] 37.4% [22] 19510(97.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 37.4% run-improve58 [2] 26.8% simplify [3] 22.5% loop [28] 13.3% ---------------------------------------------------------------------- one-iter [14] 3.7% loop [19] 96.3% [23] 5390(27.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [29] 41.3% match-e [27] 27.1% loop! [82] 11.9% for-loop [30] 11.9% mk-enode! [33] 4.0% substitute-e [39] 3.7% ---------------------------------------------------------------------- for-loop [20] 100.0% [24] 624(3.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [31] 100.0% ---------------------------------------------------------------------- ??? [21] 100.0% [25] 442(2.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ---------------------------------------------------------------------- for-loop [17] 100.0% [26] 200(1.0%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [34] 100.0% ---------------------------------------------------------------------- for-loop [49] 19.2% apply-match [23] 22.7% for-loop [18] 58.1% [27] 5512(27.6%) 2810(14.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [35] 38.7% for-loop [49] 14.9% loop [77] 1.8% variable? [44] 1.8% list-cartesian-product [47] 1.8% ---------------------------------------------------------------------- run-improve58 [2] 3.7% ??? [22] 96.3% [28] 5406(27.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [48] 50.9% loop [36] 41.3% for-loop [41] 4.1% filter-points [45] 3.7% ---------------------------------------------------------------------- merge-egraph-nodes! [29] 4.5% apply-match [23] 95.5% [29] 2226(11.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [37] 81.9% for-loop [43] 9.1% merge-egraph-nodes! [29] 4.5% for-loop [46] 4.5% ---------------------------------------------------------------------- apply-match [23] 100.0% [30] 642(3.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [82] 62.6% substitute-e [39] 37.4% ---------------------------------------------------------------------- taylor-alt [24] 100.0% [31] 624(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [32] 442(2.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% ---------------------------------------------------------------------- apply-match [23] 100.0% [33] 218(1.1%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 mutable-set [42] 100.0% ---------------------------------------------------------------------- debug-print [26] 100.0% [34] 200(1.0%) 200(1.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- match-e [27] 100.0% [35] 2764(13.9%) 1062(5.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 42.3% loop [77] 16.0% loop [57] 7.2% ---------------------------------------------------------------------- loop [28] 100.0% [36] 2232(11.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 50.0% make-exacts* [48] 40.2% eval-prog [60] 9.8% ---------------------------------------------------------------------- merge-egraph-nodes! [29] 100.0% [37] 1824(9.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [50] 100.0% ---------------------------------------------------------------------- location-do [38] 34.0% for-loop [31] 66.0% [38] 624(3.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [52] 66.0% location-do [38] 34.0% ---------------------------------------------------------------------- for-loop [30] 18.1% apply-match [23] 22.9% substitute-e [39] 59.0% [39] 442(2.2%) 240(1.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [39] 59.0% constant? [55] 22.9% ---------------------------------------------------------------------- atab-add-altn [32] 100.0% [40] 442(2.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [53] 100.0% ---------------------------------------------------------------------- loop [28] 100.0% [41] 220(1.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [54] 100.0% ---------------------------------------------------------------------- mk-enode! [33] 100.0% [42] 218(1.1%) 218(1.1%) mutable-set ...racket/private/set-types.rkt:1000:0 ---------------------------------------------------------------------- merge-egraph-nodes! [29] 100.0% [43] 202(1.0%) 202(1.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- match-e [27] 100.0% [44] 200(1.0%) 200(1.0%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ---------------------------------------------------------------------- loop [28] 100.0% [45] 200(1.0%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [56] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [29] 100.0% [46] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [82] 100.0% ---------------------------------------------------------------------- list-cartesian-product [47] 50.0% match-e [27] 50.0% [47] 198(1.0%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 50.0% for-loop [58] 50.0% ---------------------------------------------------------------------- loop [36] 24.6% loop [28] 75.4% [48] 3652(18.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 50.9% loop [77] 43.5% eval-prog [60] 5.6% ---------------------------------------------------------------------- match-e [27] 49.2% for-loop [35] 50.8% [49] 2522(12.6%) 400(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [27] 84.1% ---------------------------------------------------------------------- update-leader! [37] 100.0% [50] 1824(9.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [59] 100.0% ---------------------------------------------------------------------- loop [36] 100.0% [51] 1116(5.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ---------------------------------------------------------------------- location-do [38] 100.0% [52] 624(3.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 67.6% f94 [61] 32.4% ---------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [53] 442(2.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [60] 54.8% for-loop [64] 45.2% ---------------------------------------------------------------------- for-loop [41] 100.0% [54] 220(1.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [63] 100.0% ---------------------------------------------------------------------- substitute-e [39] 100.0% [55] 202(1.0%) 202(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- filter-points [45] 100.0% [56] 200(1.0%) 200(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ---------------------------------------------------------------------- for-loop [35] 100.0% [57] 200(1.0%) 200(1.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- list-cartesian-product [47] 100.0% [58] 198(1.0%) 198(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- for-loop [50] 100.0% [59] 1824(9.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% ---------------------------------------------------------------------- make-exacts* [48] 30.7% loop [36] 32.8% errors [53] 36.4% [60] 664(3.3%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [67] 63.6% ??? [68] 36.4% ---------------------------------------------------------------------- approximate9 [52] 47.6% parse-loop50 [89] 52.4% [61] 424(2.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 73.8% compose [69] 26.2% ---------------------------------------------------------------------- approximate9 [52] 100.0% [62] 422(2.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ---------------------------------------------------------------------- for-loop [54] 100.0% [63] 220(1.1%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [70] 100.0% ---------------------------------------------------------------------- errors [53] 100.0% [64] 200(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [81] 100.0% ---------------------------------------------------------------------- f94 [61] 12.5% loop [51] 32.8% make-exacts* [48] 54.7% [65] 3398(17.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [77] 87.5% parse-loop50 [89] 6.5% ??? [76] 5.9% ---------------------------------------------------------------------- for-loop [59] 100.0% [66] 1824(9.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [71] 100.0% ---------------------------------------------------------------------- for-loop [12] 7.9% eval-prog [60] 11.2% ??? [73] 21.1% loop [62] 21.1% loop [77] 38.8% [67] 844(4.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [74] 38.8% ??? [73] 21.1% simplify [83] 21.1% bigfloat-hash [72] 11.2% ??? [4] 7.9% ---------------------------------------------------------------------- eval-prog [60] 100.0% [68] 242(1.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [75] 100.0% ---------------------------------------------------------------------- f94 [61] 100.0% [69] 222(1.1%) 222(1.1%) compose ...collects/racket/private/list.rkt:385:12 ---------------------------------------------------------------------- sample-default [63] 100.0% [70] 220(1.1%) 220(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- hash-update! [66] 100.0% [71] 1824(9.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [78] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [72] 422(2.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [79] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [73] 422(2.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [74] 422(2.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [77] 100.0% ---------------------------------------------------------------------- ??? [68] 100.0% [75] 242(1.2%) 242(1.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ---------------------------------------------------------------------- map [65] 100.0% [76] 202(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-quotient [80] 100.0% ---------------------------------------------------------------------- make-exacts* [48] 0.1% map [65] 0.5% match-e [27] 2.8% parse-loop50 [89] 2.8% loop! [82] 3.9% for-loop [35] 4.1% ??? [74] 5.9% loop [77] 79.4% [77] 7096(35.6%) 240(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [77] 79.4% hash-ref! [67] 5.9% loop! [82] 3.9% foldl [84] 3.5% parse-loop50 [89] 2.8% ??? [81] 0.5% for-loop [86] 0.4% ->flonum [85] 0.0% ---------------------------------------------------------------------- ??? [71] 100.0% [78] 1824(9.1%) 1584(7.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [88] 13.2% ---------------------------------------------------------------------- bigfloat-hash [72] 100.0% [79] 422(2.1%) 422(2.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- ??? [76] 100.0% [80] 202(1.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [83] 100.0% ---------------------------------------------------------------------- for-loop [64] 4.4% loop [77] 95.6% [81] 4538(22.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 94.6% real->bigfloat [90] 5.4% ---------------------------------------------------------------------- for-loop [46] 8.0% for-loop [30] 24.2% apply-match [23] 25.8% loop [77] 42.0% [82] 1246(6.2%) 444(2.2%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [77] 42.0% custom-set-union [95] 16.1% update-en-expr [88] 16.1% set [93] 8.1% ---------------------------------------------------------------------- taylor-quotient [80] 32.4% hash-ref! [67] 67.6% [83] 624(3.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [89] 67.6% debug7 [94] 32.4% ---------------------------------------------------------------------- loop [77] 100.0% [84] 402(2.0%) 200(1.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [92] 50.2% ---------------------------------------------------------------------- loop [77] 100.0% [85] 226(1.1%) 226(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ---------------------------------------------------------------------- loop [77] 100.0% [86] 222(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [91] 100.0% ---------------------------------------------------------------------- ??? [81] 100.0% [87] 4294(21.5%) 418(2.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 58.7% ...higher-order.rkt:373:33 [97] 26.5% bf/ [98] 5.1% ---------------------------------------------------------------------- for-loop [78] 37.5% loop! [82] 62.5% [88] 640(3.2%) 640(3.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- map [65] 10.5% loop [77] 11.8% simplify [83] 22.4% parse-loop50 [89] 55.3% [89] 422(2.1%) 200(1.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [89] 55.3% f94 [61] 21.0% loop [77] 11.8% ---------------------------------------------------------------------- ??? [81] 100.0% [90] 244(1.2%) 244(1.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- for-loop [86] 100.0% [91] 222(1.1%) 222(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- foldl [84] 100.0% [92] 202(1.0%) 202(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- loop! [82] 100.0% [93] 202(1.0%) 202(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- simplify [83] 100.0% [94] 202(1.0%) 202(1.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------- loop! [82] 100.0% [95] 200(1.0%) 200(1.0%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- ??? [87] 100.0% [96] 2522(12.6%) 244(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [99] 71.6% ??? [103] 18.7% ---------------------------------------------------------------------- ??? [87] 100.0% [97] 1136(5.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [100] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [98] 218(1.1%) 218(1.1%) bf/ ...th/private/bigfloat/bigfloat-mpfr.rkt:102:0 ---------------------------------------------------------------------- ??? [96] 100.0% [99] 1806(9.1%) 1580(7.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 12.5% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [97]100.0% [100] 1136(5.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [101] 100.0% ---------------------------------------------------------------------- ??? [100] 100.0% [101] 1136(5.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [103] 100.0% ---------------------------------------------------------------------- bfadd [99] 100.0% [102] 226(1.1%) 226(1.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [96] 29.4% ??? [101] 70.6% [103] 1608(8.1%) 912(4.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [104] 43.3% ---------------------------------------------------------------------- ??? [103] 100.0% [104] 696(3.5%) 238(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [105] 65.8% ---------------------------------------------------------------------- ??? [104] 100.0% [105] 458(2.3%) 458(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------