Profiling results ----------------- Total cpu time observed: 125624ms (out of 127028ms) Number of samples taken: 541 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 104 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [39] 100.0% [1] 122480(97.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------------ ??? [39] 100.0% [2] 7740(6.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 78.0% loop [44] 14.0% get-final-combination [13] 5.5% errors [58] 2.6% ------------------------------------------------------------------------ loop [67] 9.7% ??? [39] 90.3% [3] 4356(3.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [19] 43.3% simplify-expr [11] 37.3% for-loop [12] 14.3% loop [16] 5.1% ------------------------------------------------------------------------ map [62] 11.9% loop [67] 88.1% [4] 420(0.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [5] 400(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [6] 400(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ------------------------------------------------------------------------ f6 [89] 100.0% [7] 220(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [67] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [8] 202(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:408:23 for-loop [17] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 98.9% [9] 123872(98.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 6038(4.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [11] 1626(1.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [12] 622(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [13] 422(0.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [20] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [14] 400(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [15] 400(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [68] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [16] 220(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [17] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:411:30 for-loop [22] 100.0% ------------------------------------------------------------------------ for-loop [10] 100.0% [18] 6038(4.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 65.2% finalize-iter! [25] 13.9% localize-error [26] 10.6% gen-series! [27] 10.3% ------------------------------------------------------------------------ for-loop [12] 15.0% simplify-expr [11] 39.3% simplify [3] 45.6% [19] 4136(3.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 95.1% map-enodes [29] 4.9% ------------------------------------------------------------------------ get-final-combination [13] 100.0% [20] 422(0.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% ------------------------------------------------------------------------ loop [16] 100.0% [21] 220(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [28] 100.0% ------------------------------------------------------------------------ for-loop [17] 100.0% [22] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:414:42 ??? [30] 100.0% ------------------------------------------------------------------------ run-iter! [18] 100.0% [23] 3934(3.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [19] 100.0% [24] 3934(3.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 79.1% loop [35] 10.8% apply-match [41] 5.1% loop [38] 5.0% ------------------------------------------------------------------------ run-iter! [18] 100.0% [25] 842(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% ------------------------------------------------------------------------ run-iter! [18] 100.0% [26] 642(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 65.4% sort [36] 34.6% ------------------------------------------------------------------------ run-iter! [18] 100.0% [27] 620(0.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% ------------------------------------------------------------------------ pass [21] 100.0% [28] 220(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [37] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [19] 100.0% [29] 202(0.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [67] 100.0% ------------------------------------------------------------------------ for-loop [22] 100.0% [30] 202(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [68] 100.0% ------------------------------------------------------------------------ simplify! [23] 100.0% [31] 3934(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ------------------------------------------------------------------------ for-loop [32] 46.8% one-iter [24] 53.2% [32] 3112(2.5%) 1244(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 46.8% match-e [45] 30.0% ------------------------------------------------------------------------ finalize-iter! [25] 100.0% [33] 842(0.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 100.0% ------------------------------------------------------------------------ gen-series! [27] 100.0% [34] 620(0.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [42] 100.0% ------------------------------------------------------------------------ one-iter [24] 100.0% [35] 424(0.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [41] 100.0% ------------------------------------------------------------------------ localize-error [26] 100.0% [36] 222(0.2%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [43] 100.0% ------------------------------------------------------------------------ for-loop [28] 100.0% [37] 220(0.2%) 220(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ one-iter [24] 100.0% [38] 198(0.2%) 198(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ for-loop [31] 1.1% run [9] 49.5% [39] 125180(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.4% loop [44] 47.8% run-improve58 [2] 2.7% simplify [3] 1.1% ------------------------------------------------------------------------ ??? [33] 100.0% [40] 842(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [46] 100.0% ------------------------------------------------------------------------ one-iter [24] 32.1% loop [35] 67.9% [41] 624(0.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 mk-enode! [48] 35.6% loop! [79] 32.4% match-e [45] 32.1% ------------------------------------------------------------------------ for-loop [34] 100.0% [42] 620(0.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% ------------------------------------------------------------------------ sort [36] 100.0% [43] 222(0.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [49] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 0.9% ??? [39] 99.1% [44] 118520(94.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [50] 37.7% loop [56] 31.5% make-exacts* [57] 30.6% ------------------------------------------------------------------------ apply-match [41] 9.7% for-loop [60] 10.7% for-loop [32] 79.6% [45] 2068(1.6%) 1668(1.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 15.0% list-cartesian-product [55] 9.7% for-loop [60] 5.4% ------------------------------------------------------------------------ for-loop [40] 100.0% [46] 842(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% ------------------------------------------------------------------------ taylor-alt [42] 100.0% [47] 620(0.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% ------------------------------------------------------------------------ apply-match [41] 100.0% [48] 222(0.2%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [54] 100.0% ------------------------------------------------------------------------ jloop [43] 100.0% [49] 222(0.2%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [67] 100.0% ------------------------------------------------------------------------ loop [44] 100.0% [50] 44656(35.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 56.6% make-exacts* [57] 42.8% eval-prog [64] 0.6% ------------------------------------------------------------------------ atab-add-altn [46] 100.0% [51] 842(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [58] 100.0% ------------------------------------------------------------------------ for-loop [47] 39.4% location-do [52] 60.6% [52] 620(0.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [52] 60.6% approximate9 [59] 39.4% ------------------------------------------------------------------------ match-e [45] 100.0% [53] 422(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [60] 52.6% loop [61] 47.4% ------------------------------------------------------------------------ mk-enode! [48] 100.0% [54] 222(0.2%) 222(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ match-e [45] 100.0% [55] 200(0.2%) 200(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ loop [50] 40.3% loop [44] 59.7% [56] 62632(49.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [62] 66.9% loop [67] 33.1% ------------------------------------------------------------------------ loop [50] 34.5% loop [44] 65.5% [57] 55408(44.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [62] 52.5% loop [67] 47.1% eval-prog [64] 0.4% ------------------------------------------------------------------------ run-improve58 [2] 19.2% best-and-tied-at-points [51] 80.8% [58] 1042(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 77.0% eval-prog [64] 23.0% ------------------------------------------------------------------------ location-do [52] 100.0% [59] 620(0.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [89] 35.5% loop [65] 32.6% taylor-sqrt [66] 31.9% ------------------------------------------------------------------------ match-e [45] 50.0% for-loop [53] 50.0% [60] 444(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% ------------------------------------------------------------------------ for-loop [53] 100.0% [61] 200(0.2%) 200(0.2%) loop ...e/racket/collects/racket/function.rkt:53:6 ------------------------------------------------------------------------ f6 [89] 0.9% make-exacts* [57] 40.6% loop [56] 58.5% [62] 71640(57.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 98.4% ??? [71] 0.9% f6 [89] 0.3% parse-loop12 [82] 0.3% ??? [4] 0.1% ------------------------------------------------------------------------ errors [58] 100.0% [63] 802(0.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [71] 100.0% ------------------------------------------------------------------------ make-exacts* [57] 29.7% errors [58] 32.4% loop [50] 37.8% [64] 740(0.6%) 280(0.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [69] 32.4% inductor [70] 29.7% ------------------------------------------------------------------------ approximate9 [59] 100.0% [65] 202(0.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ------------------------------------------------------------------------ approximate9 [59] 100.0% [66] 198(0.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [68] 100.0% ------------------------------------------------------------------------ parse-loop12 [82] 0.0% loop! [79] 0.0% loop [56] 0.0% ??? [71] 0.0% map-enodes [29] 0.0% errors-score [49] 0.0% taylor [7] 0.2% extract-alt [20] 0.2% make-exacts* [57] 0.4% map [62] 1.7% loop [67] 97.3% [67] 118866(94.6%) 746(0.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 97.3% ??? [71] 1.9% ->flonum [72] 0.2% simplify [3] 0.2% simplify [73] 0.2% real->bigfloat [81] 0.0% loop! [79] 0.0% ??? [94] 0.0% ??? [4] 0.0% ??? [90] 0.0% ------------------------------------------------------------------------ ??? [78] 2.7% ??? [30] 2.7% ??? [77] 2.7% loop [65] 2.7% ??? [76] 5.5% taylor-sqrt [66] 8.0% for-loop [15] 10.8% for-loop [14] 13.5% localize-error [26] 13.8% ??? [4] 37.4% [68] 820(0.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [82] 41.5% ??? [5] 13.5% ??? [6] 10.8% simplify [73] 10.8% f6 [89] 9.8% ??? [76] 5.5% ??? [77] 2.7% ??? [8] 2.7% ??? [78] 2.7% ------------------------------------------------------------------------ eval-prog [64] 100.0% [69] 240(0.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [74] 100.0% ------------------------------------------------------------------------ eval-prog [64] 100.0% [70] 220(0.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 constant? [75] 100.0% ------------------------------------------------------------------------ map [62] 0.5% for-loop [63] 0.7% loop [67] 98.8% [71] 117094(93.2%) 2046(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 89.3% real->bigfloat [81] 4.5% ??? [94] 2.2% loop [67] 2.1% ------------------------------------------------------------------------ loop [67] 100.0% [72] 1292(1.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [95] 48.3% ??? [88] 36.5% ??? [85] 15.2% ------------------------------------------------------------------------ loop [67] 35.5% hash-ref! [68] 64.5% [73] 620(0.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [83] 35.5% parse-loop12 [82] 32.6% f6 [89] 31.9% ------------------------------------------------------------------------ ??? [69] 100.0% [74] 240(0.2%) 240(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------ inductor [70] 100.0% [75] 220(0.2%) 220(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ hash-ref! [68] 100.0% [76] 202(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [77] 202(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [78] 202(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [68] 100.0% ------------------------------------------------------------------------ loop [67] 50.0% apply-match [41] 50.0% [79] 202(0.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [67] 50.0% set [84] 50.0% ------------------------------------------------------------------------ ??? [71] 100.0% [80] 104600(83.3%) 904(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 93.6% bf* [86] 3.6% ...higher-order.rkt:373:33 [87] 1.3% ??? [88] 0.4% ------------------------------------------------------------------------ loop [67] 21.9% ??? [71] 78.1% [81] 6672(5.3%) 5578(4.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 16.4% ------------------------------------------------------------------------ parse-loop12 [82] 8.1% simplify [73] 8.1% map [62] 16.2% hash-ref! [68] 67.5% [82] 622(0.5%) 202(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 67.5% f6 [89] 16.2% parse-loop12 [82] 8.1% ------------------------------------------------------------------------ simplify [73] 100.0% [83] 220(0.2%) 220(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ------------------------------------------------------------------------ loop! [79] 100.0% [84] 202(0.2%) 202(0.2%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ->flonum [72] 100.0% [85] 196(0.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [96] 100.0% ------------------------------------------------------------------------ ??? [80] 100.0% [86] 3784(3.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ------------------------------------------------------------------------ ??? [80] 100.0% [87] 1400(1.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 52.1% ??? [94] 47.9% ------------------------------------------------------------------------ ??? [80] 46.0% ->flonum [72] 54.0% [88] 874(0.7%) 874(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ map [62] 6.7% approximate9 [59] 6.7% f6 [89] 13.4% simplify [73] 24.1% hash-ref! [68] 24.4% parse-loop12 [82] 24.6% [89] 820(0.7%) 198(0.2%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [62] 55.7% f6 [89] 13.4% taylor [7] 6.7% ------------------------------------------------------------------------ loop [67] 0.4% bf* [86] 3.7% ??? [80] 95.9% [90] 102072(81.3%) 82442(65.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [92] 8.9% bflog [93] 5.3% ??? [95] 5.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [87]100.0% [91] 730(0.6%) 216(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 70.4% ------------------------------------------------------------------------ ??? [90] 100.0% [92] 9132(7.3%) 7360(5.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 19.4% ------------------------------------------------------------------------ ??? [90] 100.0% [93] 5406(4.3%) 4594(3.7%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 15.0% ------------------------------------------------------------------------ ??? [91] 11.6% loop [67] 14.8% ...higher-order.rkt:373:33 [87] 15.1% ??? [71] 58.5% [94] 4426(3.5%) 202(0.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 95.4% ------------------------------------------------------------------------ ->flonum [72] 6.3% ??? [94] 42.5% ??? [90] 51.2% [95] 9940(7.9%) 4032(3.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 54.4% ??? [98] 5.0% ------------------------------------------------------------------------ ??? [85] 5.1% bflog [93] 21.0% real->bigfloat [81] 28.2% bfdiv [92] 45.7% [96] 3874(3.1%) 3874(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [95] 100.0% [97] 5412(4.3%) 4066(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 24.9% ------------------------------------------------------------------------ ??? [95] 100.0% [98] 496(0.4%) 232(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [100] 53.2% ------------------------------------------------------------------------ ??? [97] 100.0% [99] 1346(1.1%) 1346(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------ ??? [98] 100.0% [100] 264(0.2%) 264(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------------