Profiling results ----------------- Total cpu time observed: 21802ms (out of 22272ms) Number of samples taken: 90 (once every 242ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [39] 100.0% [1] 21150(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ----------------------------------------------------------------------- ??? [39] 100.0% [2] 5692(26.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 62.8% get-final-combination [13] 28.8% loop [46] 4.5% setup-prog [17] 4.0% ----------------------------------------------------------------------- simplify-alt [23] 7.6% ??? [39] 92.4% [3] 2978(13.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 55.9% iterate-egraph!5 [21] 29.2% for-loop [15] 14.8% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [4] 600(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [14] 66.7% parse-loop50 [80] 33.3% ----------------------------------------------------------------------- copying-mergesort [55] 100.0% [5] 600(2.8%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [67] 100.0% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [6] 462(2.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [70] 100.0% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [7] 400(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [8] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [9] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [18] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.9% [10] 21382(98.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 3572(16.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 1666(7.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 1638(7.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [22] 100.0% ----------------------------------------------------------------------- parse-loop50 [80] 33.3% simplify [4] 66.7% [14] 600(2.8%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [66] 66.7% parse-loop50 [80] 33.3% ----------------------------------------------------------------------- simplify [3] 100.0% [15] 442(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 400(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [74] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 226(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [23] 100.0% ----------------------------------------------------------------------- ??? [9] 100.0% [18] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [24] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [19] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [74] 100.0% ----------------------------------------------------------------------- for-loop [11] 100.0% [20] 3572(16.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 77.0% gen-series! [28] 16.8% finalize-iter! [30] 6.2% ----------------------------------------------------------------------- for-loop [15] 14.8% simplify [3] 29.2% simplify-expr [12] 55.9% [21] 2978(13.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 85.9% map-enodes [29] 14.1% ----------------------------------------------------------------------- get-final-combination [13] 100.0% [22] 1638(7.5%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [27] 100.0% ----------------------------------------------------------------------- setup-prog [17] 100.0% [23] 226(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ----------------------------------------------------------------------- for-loop [18] 100.0% [24] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [74] 100.0% ----------------------------------------------------------------------- run-iter! [20] 100.0% [25] 2752(12.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [26] 2558(11.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 66.9% loop [34] 33.1% ----------------------------------------------------------------------- split-table [22] 100.0% [27] 1638(7.5%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [33] 87.9% exprs-to-branch-on [38] 12.1% ----------------------------------------------------------------------- run-iter! [20] 100.0% [28] 600(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [29] 420(1.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [70] 52.4% set-precompute! [37] 47.6% ----------------------------------------------------------------------- run-iter! [20] 100.0% [30] 220(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [36] 100.0% ----------------------------------------------------------------------- simplify! [25] 100.0% [31] 2752(12.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ----------------------------------------------------------------------- for-loop [32] 50.0% one-iter [26] 50.0% [32] 1712(7.9%) 646(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [48] 31.1% ----------------------------------------------------------------------- infer-splitpoints4 [27] 100.0% [33] 1440(6.6%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [40] 100.0% ----------------------------------------------------------------------- one-iter [26] 100.0% [34] 846(3.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [41] 100.0% ----------------------------------------------------------------------- gen-series! [28] 100.0% [35] 600(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [42] 100.0% ----------------------------------------------------------------------- finalize-iter! [30] 100.0% [36] 220(1.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [43] 100.0% ----------------------------------------------------------------------- map-enodes [29] 100.0% [37] 200(0.9%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [44] 100.0% ----------------------------------------------------------------------- infer-splitpoints4 [27] 100.0% [38] 198(0.9%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:41:0 critical-subexpression [45] 100.0% ----------------------------------------------------------------------- for-loop [31] 4.4% run [10] 47.6% [39] 21802(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.6% loop [46] 37.5% run-improve58 [2] 11.6% simplify [3] 4.4% ----------------------------------------------------------------------- option-on-expr [33] 100.0% [40] 1440(6.6%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [47] 100.0% ----------------------------------------------------------------------- loop [34] 100.0% [41] 846(3.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 update-leader! [49] 76.1% match-e [48] 23.9% ----------------------------------------------------------------------- for-loop [35] 100.0% [42] 600(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [50] 100.0% ----------------------------------------------------------------------- ??? [36] 100.0% [43] 220(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [51] 100.0% ----------------------------------------------------------------------- set-precompute! [37] 100.0% [44] 200(0.9%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [52] 100.0% ----------------------------------------------------------------------- exprs-to-branch-on [38] 100.0% [45] 198(0.9%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:49:0 localize-error [53] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.6% ??? [39] 98.4% [46] 16366(75.1%) 202(0.9%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [54] 46.1% make-exacts* [60] 39.9% loop [61] 12.8% ----------------------------------------------------------------------- sort-context-on-expr [40] 100.0% [47] 1440(6.6%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [55] 71.0% loop [62] 29.0% ----------------------------------------------------------------------- apply-match [41] 15.9% for-loop [58] 16.6% for-loop [32] 67.4% [48] 1268(5.8%) 1268(5.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [58] 16.6% ----------------------------------------------------------------------- apply-match [41] 100.0% [49] 644(3.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 100.0% ----------------------------------------------------------------------- taylor-alt [42] 100.0% [50] 600(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [57] 100.0% ----------------------------------------------------------------------- for-loop [43] 100.0% [51] 220(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [59] 100.0% ----------------------------------------------------------------------- make-sequence [44] 100.0% [52] 200(0.9%) 200(0.9%) ??? ...acket/collects/racket/private/for.rkt:428:7 ----------------------------------------------------------------------- critical-subexpression [45] 100.0% [53] 198(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% ----------------------------------------------------------------------- loop [46] 100.0% [54] 7538(34.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [61] 53.3% make-exacts* [60] 40.6% eval-prog [71] 6.1% ----------------------------------------------------------------------- sort [47] 46.1% copying-mergesort [55] 53.9% [55] 1022(4.7%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [55] 53.9% loop [62] 31.4% jloop [5] 14.7% ----------------------------------------------------------------------- update-leader! [49] 100.0% [56] 644(3.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% ----------------------------------------------------------------------- location-do [57] 16.7% for-loop [50] 83.3% [57] 600(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [64] 83.3% location-do [57] 16.7% ----------------------------------------------------------------------- match-e [48] 100.0% [58] 422(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [48] 100.0% ----------------------------------------------------------------------- atab-add-altn [51] 100.0% [59] 220(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 100.0% ----------------------------------------------------------------------- loop [54] 31.9% loop [46] 68.1% [60] 9596(44.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [66] 54.9% loop [70] 45.1% ----------------------------------------------------------------------- loop [46] 34.3% loop [54] 65.7% [61] 6106(28.0%) 232(1.1%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 96.2% ----------------------------------------------------------------------- sort [47] 49.8% copying-mergesort [55] 50.2% [62] 840(3.9%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [67] 100.0% ----------------------------------------------------------------------- for-loop [56] 100.0% [63] 644(3.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ----------------------------------------------------------------------- location-do [57] 100.0% [64] 600(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [69] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [59] 100.0% [65] 220(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [71] 100.0% ----------------------------------------------------------------------- parse-loop50 [80] 1.7% f16 [14] 3.4% make-exacts* [60] 44.9% loop [61] 50.0% [66] 11740(53.8%) 648(3.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 90.0% parse-loop50 [80] 3.4% ??? [73] 2.0% ----------------------------------------------------------------------- jloop [5] 41.7% loop [62] 58.3% [67] 1440(6.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [71] 86.1% ->flonum [76] 13.9% ----------------------------------------------------------------------- for-loop [63] 100.0% [68] 644(3.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ----------------------------------------------------------------------- approximate9 [64] 100.0% [69] 600(2.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [74] 100.0% ----------------------------------------------------------------------- make-exacts* [60] 0.1% map-enodes [29] 0.2% parse-loop50 [80] 1.5% ??? [6] 2.9% map [66] 4.9% loop [70] 90.5% [70] 16072(73.7%) 1252(5.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 90.5% ??? [73] 3.7% hash-ref! [74] 2.9% parse-loop50 [80] 2.5% for-loop [77] 0.2% ->flonum [76] 0.0% ----------------------------------------------------------------------- errors [65] 11.4% loop [54] 24.0% ??? [67] 64.5% [71] 1922(8.8%) 1258(5.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [74] 24.0% inductor [95] 10.5% ----------------------------------------------------------------------- hash-update! [68] 100.0% [72] 644(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ----------------------------------------------------------------------- map [66] 1.7% loop [70] 98.3% [73] 13772(63.2%) 500(2.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 50.8% real->bigfloat [79] 35.6% ??? [97] 6.8% ...e/case-arrow.rkt:150:50 [83] 3.2% ----------------------------------------------------------------------- for-loop [19] 3.2% for-loop [24] 3.2% for-loop [16] 8.5% eval-prog [71] 15.6% localize-error [53] 15.7% ??? [81] 16.4% loop [69] 16.4% loop [70] 21.1% [74] 1260(5.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [6] 21.1% ??? [81] 16.4% simplify [4] 16.4% parse-loop50 [80] 15.7% bigfloat-hash [82] 15.6% ??? [7] 8.5% ??? [9] 3.2% ??? [8] 3.2% ----------------------------------------------------------------------- ??? [72] 100.0% [75] 644(3.0%) 644(3.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop [70] 49.5% ??? [67] 50.5% [76] 396(1.8%) 200(0.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 49.5% ----------------------------------------------------------------------- loop [70] 100.0% [77] 220(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [84] 100.0% ----------------------------------------------------------------------- ??? [73] 100.0% [78] 7000(32.1%) 248(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 71.9% ...higher-order.rkt:369:33 [86] 17.5% bf<= [87] 4.0% ...higher-order.rkt:373:33 [90] 3.1% ----------------------------------------------------------------------- ??? [73] 100.0% [79] 4906(22.5%) 3648(16.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 25.6% ----------------------------------------------------------------------- f16 [14] 5.0% simplify [4] 5.0% loop [70] 13.4% map [66] 20.9% hash-ref! [74] 24.8% parse-loop50 [80] 30.9% [80] 798(3.7%) 400(1.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [70] 33.2% parse-loop50 [80] 30.9% map [66] 10.0% f16 [14] 5.0% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [81] 600(2.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [74] 100.0% ----------------------------------------------------------------------- hash-ref! [74] 100.0% [82] 462(2.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [88] 54.5% bfcanonicalize [91] 45.5% ----------------------------------------------------------------------- ??? [73] 100.0% [83] 434(2.0%) 434(2.0%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- for-loop [77] 100.0% [84] 220(1.0%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [89] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [85] 5034(23.1%) 1438(6.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [92] 42.0% bfsqr [93] 20.0% ??? [98] 9.4% ----------------------------------------------------------------------- ??? [78] 100.0% [86] 1224(5.6%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [97] 80.9% ??? [94] 19.1% ----------------------------------------------------------------------- ??? [78] 100.0% [87] 278(1.3%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [98] 100.0% ----------------------------------------------------------------------- bigfloat-hash [82] 100.0% [88] 252(1.2%) 252(1.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- eval-const-expr [84] 100.0% [89] 220(1.0%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [95] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [90] 216(1.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- bigfloat-hash [82] 100.0% [91] 210(1.0%) 210(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- ??? [85] 100.0% [92] 2116(9.7%) 704(3.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 66.7% ----------------------------------------------------------------------- ??? [85] 100.0% [93] 1006(4.6%) 522(2.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 48.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [90] 48.0% ...higher-order.rkt:369:33 [86] 52.0% [94] 450(2.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ----------------------------------------------------------------------- inductor [95] 26.1% expression-induct31 [89] 26.1% eval-prog [71] 47.9% [95] 422(1.9%) 422(1.9%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [95] 26.1% ----------------------------------------------------------------------- bfsqr [93] 15.3% real->bigfloat [79] 39.9% bfadd [92] 44.8% [96] 3154(14.5%) 3154(14.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [94] 19.0% ??? [73] 39.3% ...higher-order.rkt:369:33 [86] 41.7% [97] 2372(10.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ----------------------------------------------------------------------- ->flonum [76] 5.9% bf<= [87] 8.4% ??? [85] 14.3% ??? [97] 71.4% [98] 3320(15.2%) 1874(8.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 29.3% ??? [100] 14.2% ----------------------------------------------------------------------- ??? [98] 100.0% [99] 974(4.5%) 478(2.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 50.9% ----------------------------------------------------------------------- ??? [98] 100.0% [100] 472(2.2%) 224(1.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [102] 52.5% ----------------------------------------------------------------------- ??? [99] 100.0% [101] 496(2.3%) 496(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- ??? [100] 100.0% [102] 248(1.1%) 248(1.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -----------------------------------------------------------------------