Profiling results ----------------- Total cpu time observed: 20760ms (out of 21072ms) Number of samples taken: 94 (once every 221ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [35] 100.0% [1] 19338(93.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [35] 100.0% [2] 13418(64.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 88.7% loop [40] 8.1% get-final-combination [14] 1.7% errors [17] 1.5% ----------------------------------------------------------------------- loop [67] 2.1% ??? [35] 97.9% [3] 10912(52.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 66.2% iterate-egraph!5 [19] 20.6% for-loop [12] 13.2% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [4] 1424(6.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [67] 100.0% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [5] 632(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [72] 66.5% for-loop [16] 33.5% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [6] 632(3.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f160 [13] 100.0% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [7] 220(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ----------------------------------------------------------------------- loop [67] 100.0% [8] 200(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [72] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 19338(93.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 11902(57.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 7222(34.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 1444(7.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ----------------------------------------------------------------------- hash-ref! [72] 4.8% f160 [13] 9.6% simplify [6] 37.8% map [62] 47.8% [13] 832(4.0%) 0(0.0%) f160 .../collects/racket/match/compiler.rkt:499:40 map [62] 85.6% f160 [13] 9.6% taylor [21] 4.8% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 234(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [20] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [15] 220(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [72] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [16] 212(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [72] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 200(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [63] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [18] 11902(57.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 89.7% gen-series! [24] 7.0% localize-error [27] 1.7% finalize-iter! [28] 1.6% ----------------------------------------------------------------------- for-loop [12] 13.2% simplify [3] 20.6% simplify-expr [11] 66.2% [19] 10912(52.6%) 410(2.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 94.1% map-enodes [25] 2.1% ----------------------------------------------------------------------- get-final-combination [14] 100.0% [20] 234(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% ----------------------------------------------------------------------- f160 [13] 100.0% [21] 200(1.0%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [26] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [22] 10678(51.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [23] 10270(49.5%) 396(1.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 57.0% loop [31] 37.2% apply-match [36] 1.9% ----------------------------------------------------------------------- run-iter! [18] 100.0% [24] 832(4.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [25] 232(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [67] 100.0% ----------------------------------------------------------------------- taylor [21] 100.0% [26] 200(1.0%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [33] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [27] 200(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [28] 192(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ----------------------------------------------------------------------- simplify! [22] 100.0% [29] 10678(51.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ----------------------------------------------------------------------- for-loop [30] 46.5% one-iter [23] 53.5% [30] 5858(28.2%) 1454(7.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 46.5% match-e [41] 35.9% ??? [66] 1.7% ----------------------------------------------------------------------- one-iter [23] 100.0% [31] 3816(18.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ----------------------------------------------------------------------- gen-series! [24] 100.0% [32] 832(4.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ----------------------------------------------------------------------- debug7 [26] 100.0% [33] 200(1.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [38] 100.0% ----------------------------------------------------------------------- finalize-iter! [28] 100.0% [34] 192(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 100.0% ----------------------------------------------------------------------- for-loop [29] 18.1% run [9] 39.5% [35] 20326(97.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 39.5% run-improve58 [2] 25.4% simplify [3] 18.1% loop [40] 17.0% ----------------------------------------------------------------------- one-iter [23] 5.0% loop [31] 95.0% [36] 4016(19.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 30.3% update-leader! [50] 24.5% match-e [41] 19.3% loop! [74] 10.0% mk-enode! [44] 5.8% substitute-e [45] 5.5% for-loop [47] 4.7% ----------------------------------------------------------------------- for-loop [32] 100.0% [37] 832(4.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [38] 200(1.0%) 200(1.0%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ----------------------------------------------------------------------- ??? [34] 100.0% [39] 192(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [46] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 13.5% ??? [35] 86.5% [40] 7990(38.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 52.8% make-exacts* [54] 41.5% loop [55] 5.7% ----------------------------------------------------------------------- apply-match [36] 9.8% for-loop [57] 9.8% for-loop [30] 80.4% [41] 4978(24.0%) 2176(10.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 54.3% for-loop [57] 8.1% ----------------------------------------------------------------------- merge-egraph-nodes! [42] 27.7% apply-match [36] 72.3% [42] 1216(5.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 57.0% merge-egraph-nodes! [42] 27.7% loop! [74] 15.3% ----------------------------------------------------------------------- taylor-alt [37] 100.0% [43] 832(4.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [51] 100.0% ----------------------------------------------------------------------- apply-match [36] 100.0% [44] 234(1.1%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [52] 100.0% ----------------------------------------------------------------------- substitute-e [45] 50.0% apply-match [36] 50.0% [45] 222(1.1%) 222(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [45] 50.0% ----------------------------------------------------------------------- for-loop [39] 100.0% [46] 192(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [53] 100.0% ----------------------------------------------------------------------- apply-match [36] 100.0% [47] 188(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [74] 100.0% ----------------------------------------------------------------------- loop [40] 100.0% [48] 4220(20.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [54] 44.5% loop [55] 40.9% eval-prog [63] 14.5% ----------------------------------------------------------------------- match-e [41] 100.0% [49] 2996(14.4%) 1982(9.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 16.1% loop [67] 14.8% list-cartesian-product [61] 3.0% ----------------------------------------------------------------------- apply-match [36] 48.8% merge-egraph-nodes! [42] 51.2% [50] 2012(9.7%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 90.1% custom-set-union! [59] 9.9% ----------------------------------------------------------------------- location-do [51] 40.8% for-loop [43] 59.2% [51] 832(4.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [58] 59.2% location-do [51] 40.8% ----------------------------------------------------------------------- mk-enode! [44] 100.0% [52] 234(1.1%) 234(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- atab-add-altn [46] 100.0% [53] 192(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [60] 100.0% ----------------------------------------------------------------------- loop [48] 36.2% loop [40] 63.8% [54] 5192(25.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [62] 38.6% loop [67] 38.1% eval-prog [63] 23.3% ----------------------------------------------------------------------- loop [40] 21.0% loop [48] 79.0% [55] 2184(10.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [62] 100.0% ----------------------------------------------------------------------- update-leader! [50] 100.0% [56] 1812(8.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% ----------------------------------------------------------------------- for-loop [49] 48.6% match-e [41] 51.4% [57] 1176(5.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 83.0% ??? [66] 17.0% ----------------------------------------------------------------------- location-do [51] 100.0% [58] 832(4.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [65] 100.0% ----------------------------------------------------------------------- update-leader! [50] 100.0% [59] 200(1.0%) 200(1.0%) custom-set-union! ...t/private/set-types.rkt:246:0 ----------------------------------------------------------------------- best-and-tied-at-points [53] 100.0% [60] 192(0.9%) 192(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- list-cartesian-product [61] 50.0% for-loop [49] 50.0% [61] 178(0.9%) 178(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [61] 50.0% ----------------------------------------------------------------------- f160 [13] 16.6% make-exacts* [54] 39.9% loop [55] 43.5% [62] 5020(24.2%) 420(2.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 83.4% f160 [13] 10.3% make-multiplication-node [69] 1.4% ----------------------------------------------------------------------- errors [17] 9.9% loop [48] 30.3% make-exacts* [54] 59.8% [63] 2026(9.8%) 406(2.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [72] 80.0% ----------------------------------------------------------------------- for-loop [56] 100.0% [64] 1812(8.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ----------------------------------------------------------------------- approximate9 [58] 100.0% [65] 832(4.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% ----------------------------------------------------------------------- for-loop [30] 50.0% for-loop [57] 50.0% [66] 400(1.9%) 200(1.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [70] 50.0% ----------------------------------------------------------------------- parse-loop12 [89] 0.2% map-enodes [25] 0.5% extract-alt [20] 0.8% map [62] 0.9% make-exacts* [54] 2.3% loop! [74] 3.2% for-loop [49] 4.8% ??? [4] 15.4% loop [67] 72.0% [67] 9270(44.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 72.0% hash-ref! [72] 15.4% ??? [71] 3.2% loop! [74] 3.2% foldl [76] 2.4% loop [77] 2.4% simplify [3] 0.8% for-loop [75] 0.5% ??? [8] 0.1% ??? [95] 0.1% ----------------------------------------------------------------------- for-loop [64] 100.0% [68] 1812(8.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [73] 100.0% ----------------------------------------------------------------------- map [62] 100.0% [69] 212(1.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [78]100.0% ----------------------------------------------------------------------- ??? [66] 100.0% [70] 200(1.0%) 200(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- loop [67] 100.0% [71] 6164(29.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 53.7% real->bigfloat [80] 39.2% ??? [98] 7.1% ----------------------------------------------------------------------- for-loop [15] 1.7% localize-error [27] 2.5% for-loop [16] 3.2% ??? [5] 3.5% ??? [8] 5.0% ??? [84] 5.1% ??? [83] 8.9% loop [65] 8.9% eval-prog [63] 25.8% loop [67] 35.3% [72] 2652(12.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 35.3% bigfloat-hash [82] 25.8% ??? [83] 8.9% parse-loop12 [89] 7.5% ??? [5] 6.7% ??? [84] 5.1% simplify [6] 5.1% f160 [13] 3.8% ??? [7] 1.7% ----------------------------------------------------------------------- hash-update! [68] 100.0% [73] 1812(8.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [81] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [42] 12.0% for-loop [47] 12.1% loop [67] 37.1% apply-match [36] 38.8% [74] 774(3.7%) 188(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [67] 37.1% set [88] 25.8% update-en-expr [93] 24.9% ----------------------------------------------------------------------- loop [67] 100.0% [75] 232(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [85] 100.0% ----------------------------------------------------------------------- loop [67] 100.0% [76] 222(1.1%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [86] 100.0% ----------------------------------------------------------------------- loop [67] 100.0% [77] 220(1.1%) 220(1.1%) loop ...e/racket/collects/racket/function.rkt:53:6 ----------------------------------------------------------------------- make-multiplication-node [69] 100.0% [78] 212(1.0%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [87] 100.0% ----------------------------------------------------------------------- ??? [71] 100.0% [79] 3310(15.9%) 204(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [90] 39.6% ...higher-order.rkt:373:33 [92] 34.4% ??? [95] 19.9% ----------------------------------------------------------------------- ??? [71] 100.0% [80] 2416(11.6%) 1944(9.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 19.5% ----------------------------------------------------------------------- ??? [73] 100.0% [81] 1812(8.7%) 1182(5.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [93] 34.8% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [82] 1620(7.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [91] 75.8% bfcanonicalize [94] 24.2% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [83] 832(4.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [72] 100.0% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [84] 632(3.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 100.0% ----------------------------------------------------------------------- for-loop [75] 100.0% [85] 232(1.1%) 232(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- foldl [76] 100.0% [86] 222(1.1%) 222(1.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- make-multiplication-subnode [78]100.0% [87] 212(1.0%) 212(1.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ----------------------------------------------------------------------- loop! [74] 100.0% [88] 200(1.0%) 200(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- hash-ref! [72] 100.0% [89] 200(1.0%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 100.0% ----------------------------------------------------------------------- ??? [79] 100.0% [90] 1310(6.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [95] 100.0% ----------------------------------------------------------------------- bigfloat-hash [82] 100.0% [91] 1228(5.9%) 1228(5.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- ??? [79] 100.0% [92] 1138(5.5%) 218(1.1%) ...higher-order.rkt:373:33 (unknown source) ??? [96] 80.8% ----------------------------------------------------------------------- loop! [74] 38.0% for-loop [81] 62.0% [93] 1016(4.9%) 1016(4.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- bigfloat-hash [82] 100.0% [94] 392(1.9%) 392(1.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- loop [67] 9.2% ??? [79] 30.4% bf* [90] 60.4% [95] 2168(10.4%) 438(2.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [97] 58.8% ??? [99] 21.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [92] 100.0% [96] 920(4.4%) 232(1.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 74.8% ----------------------------------------------------------------------- ??? [95] 100.0% [97] 1274(6.1%) 856(4.1%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 32.8% ----------------------------------------------------------------------- ??? [71] 38.9% ??? [96] 61.1% [98] 1126(5.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 100.0% ----------------------------------------------------------------------- ??? [95] 28.8% ??? [98] 71.2% [99] 1582(7.6%) 650(3.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 58.9% ----------------------------------------------------------------------- bfdiv [97] 47.0% real->bigfloat [80] 53.0% [100] 890(4.3%) 890(4.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [99] 100.0% [101] 932(4.5%) 462(2.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 50.4% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 470(2.3%) 470(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------