Profiling results ----------------- Total cpu time observed: 15778ms (out of 16104ms) Number of samples taken: 69 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [41] 100.0% [1] 15322(97.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% ----------------------------------------------------------------------- ??? [41] 100.0% [2] 9082(57.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [13] 34.4% get-final-combination [14] 34.2% for-loop [15] 31.4% ----------------------------------------------------------------------- ??? [41] 100.0% [3] 1606(10.2%) 380(2.4%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 39.0% iterate-egraph!5 [24] 23.5% for-loop [19] 13.8% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [4] 1222(7.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [17] 51.1% hash-ref! [70] 48.9% ----------------------------------------------------------------------- loop [83] 100.0% [5] 806(5.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [16] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [6] 402(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [18] 100.0% ----------------------------------------------------------------------- map [78] 33.3% loop [83] 66.7% [7] 222(1.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 66.7% map [78] 33.3% ----------------------------------------------------------------------- loop [83] 100.0% [8] 222(1.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [9] 218(1.4%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [83] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [10] 200(1.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [71] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [11] 200(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [12] 15322(97.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [41] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 3128(19.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 3106(19.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [22] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 2848(18.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% ----------------------------------------------------------------------- simplify [3] 43.7% completely-simplify-alt [5] 56.3% [16] 1432(9.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [24] 71.8% loop [25] 28.2% ----------------------------------------------------------------------- ??? [4] 100.0% [17] 624(4.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [70] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [18] 402(2.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [19] 222(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [24] 100.0% ----------------------------------------------------------------------- ??? [11] 100.0% [20] 200(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [70] 100.0% ----------------------------------------------------------------------- finalize-table! [13] 100.0% [21] 3128(19.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [27] 53.0% loop [83] 32.9% ??? [37] 14.1% ----------------------------------------------------------------------- get-final-combination [14] 100.0% [22] 3106(19.7%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [26] 100.0% ----------------------------------------------------------------------- for-loop [15] 100.0% [23] 2848(18.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [29] 56.4% gen-series! [30] 21.8% finalize-iter! [31] 21.8% ----------------------------------------------------------------------- for-loop [19] 13.6% simplify [3] 23.2% simplify-expr [16] 63.1% [24] 1628(10.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [28] 100.0% ----------------------------------------------------------------------- simplify-expr [16] 100.0% [25] 404(2.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [32] 100.0% ----------------------------------------------------------------------- split-table [22] 100.0% [26] 3106(19.7%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [33] 100.0% ----------------------------------------------------------------------- post-process [21] 100.0% [27] 1658(10.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [34] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [28] 1628(10.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [35] 100.0% ----------------------------------------------------------------------- run-iter! [23] 100.0% [29] 1606(10.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [36] 100.0% ----------------------------------------------------------------------- run-iter! [23] 100.0% [30] 622(3.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [38] 100.0% ----------------------------------------------------------------------- run-iter! [23] 100.0% [31] 620(3.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ----------------------------------------------------------------------- loop [25] 100.0% [32] 404(2.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 hash-set*+ [39] 50.0% for-loop [40] 50.0% ----------------------------------------------------------------------- infer-splitpoints4 [26] 100.0% [33] 3106(19.7%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [42] 78.8% loop [83] 7.1% errors [86] 7.1% err-lsts->split-indices [46] 7.0% ----------------------------------------------------------------------- f6 [75] 6.0% for-loop [27] 94.0% [34] 1658(10.5%) 200(1.3%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [43] 81.9% loop [83] 12.1% ----------------------------------------------------------------------- for-loop [35] 50.0% one-iter [28] 50.0% [35] 1628(10.3%) 624(4.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [35] 50.0% match-e [45] 30.8% ----------------------------------------------------------------------- simplify! [29] 100.0% [36] 1606(10.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [41] 100.0% ----------------------------------------------------------------------- post-process [21] 41.6% finalize-iter! [31] 58.4% [37] 1062(6.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [44] 100.0% ----------------------------------------------------------------------- gen-series! [30] 100.0% [38] 622(3.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [43] 100.0% ----------------------------------------------------------------------- pass [32] 100.0% [39] 202(1.3%) 202(1.3%) hash-set*+ ...k/herbie/src/core/simplify.rkt:175:0 ----------------------------------------------------------------------- pass [32] 100.0% [40] 202(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [47] 100.0% ----------------------------------------------------------------------- for-loop [36] 3.4% run [12] 47.6% [41] 15520(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.6% run-improve58 [2] 28.2% loop [48] 20.7% simplify [3] 3.4% ----------------------------------------------------------------------- option-on-expr [33] 100.0% [42] 2446(15.5%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [49] 100.0% ----------------------------------------------------------------------- loop [83] 8.8% for-loop [38] 27.3% append-map [34] 63.9% [43] 2280(14.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [50] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [44] 1062(6.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [51] 100.0% ----------------------------------------------------------------------- for-loop [55] 10.1% for-loop [35] 89.9% [45] 1004(6.4%) 802(5.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 20.1% for-loop [55] 10.1% ----------------------------------------------------------------------- option-on-expr [33] 100.0% [46] 218(1.4%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [52] 100.0% ----------------------------------------------------------------------- for-loop [40] 100.0% [47] 202(1.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [54] 100.0% ----------------------------------------------------------------------- ??? [41] 100.0% [48] 6438(40.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [61] 57.1% loop [56] 42.9% ----------------------------------------------------------------------- sort-context-on-expr [42] 100.0% [49] 2446(15.5%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [58] 81.2% loop [64] 18.8% ----------------------------------------------------------------------- taylor-alt [43] 100.0% [50] 2280(14.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [57] 100.0% ----------------------------------------------------------------------- for-loop [44] 100.0% [51] 1062(6.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [59] 100.0% ----------------------------------------------------------------------- err-lsts->split-indices [46] 100.0% [52] 218(1.4%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [60] 100.0% ----------------------------------------------------------------------- match-e [45] 100.0% [53] 202(1.3%) 202(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ----------------------------------------------------------------------- argmin [47] 100.0% [54] 202(1.3%) 202(1.3%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 ----------------------------------------------------------------------- match-e [45] 100.0% [55] 202(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% ----------------------------------------------------------------------- loop [48] 100.0% [56] 2762(17.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 69.9% make-exacts* [61] 30.1% ----------------------------------------------------------------------- location-do [57] 39.1% for-loop [50] 60.9% [57] 2280(14.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [62] 60.9% location-do [57] 39.1% ----------------------------------------------------------------------- sort [49] 44.8% copying-mergesort [58] 55.2% [58] 1986(12.6%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [58] 55.2% loop [64] 31.0% jloop [65] 13.8% ----------------------------------------------------------------------- atab-add-altn [51] 100.0% [59] 1062(6.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [86] 100.0% ----------------------------------------------------------------------- add-splitpoint [52] 100.0% [60] 218(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [66] 100.0% ----------------------------------------------------------------------- loop [56] 18.4% loop [48] 81.6% [61] 4506(28.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [78] 54.7% loop [83] 45.3% ----------------------------------------------------------------------- location-do [57] 100.0% [62] 2280(14.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [68] 89.5% taylor-sqrt [69] 10.5% ----------------------------------------------------------------------- loop [56] 100.0% [63] 1932(12.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ----------------------------------------------------------------------- sort [49] 34.2% copying-mergesort [58] 65.8% [64] 1346(8.5%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [67] 100.0% ----------------------------------------------------------------------- copying-mergesort [58] 100.0% [65] 1100(7.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [67] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [66] 218(1.4%) 218(1.4%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 ----------------------------------------------------------------------- jloop [65] 45.0% loop [64] 55.0% [67] 2446(15.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [87] 100.0% ----------------------------------------------------------------------- approximate9 [62] 100.0% [68] 2040(12.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 45.2% approximate9 [62] 54.8% [69] 438(2.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [71] 100.0% ----------------------------------------------------------------------- for-loop [20] 1.3% localize-error [8] 3.3% for-loop [18] 3.5% ??? [4] 6.4% ??? [7] 6.5% for-loop [17] 7.6% ??? [73] 16.3% ??? [72] 24.0% loop [68] 29.9% [70] 2262(14.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [72] 24.0% ??? [73] 16.3% simplify [71] 16.3% ??? [4] 14.0% parse-loop50 [74] 6.5% taylor [9] 4.8% taylor-quotient [10] 4.4% taylor-sqrt [69] 4.4% ??? [6] 3.5% f6 [75] 3.3% ??? [11] 1.3% ----------------------------------------------------------------------- taylor-quotient [10] 8.8% loop [83] 9.6% taylor-sqrt [69] 19.2% hash-ref! [70] 62.5% [71] 2280(14.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [74] 53.6% f6 [75] 28.2% debug7 [76] 9.6% debug-print [77] 8.7% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [72] 1640(10.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [73] 1424(9.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 15.4% simplify [71] 21.7% parse-loop50 [74] 63.0% [74] 1444(9.2%) 800(5.1%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [74] 63.0% loop [83] 15.4% parse-app [79] 6.5% ----------------------------------------------------------------------- composed [81] 5.8% simplify [71] 14.4% hash-ref! [70] 25.7% map [78] 54.1% [75] 864(5.5%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [78] 84.5% composed [81] 5.8% append-map [34] 5.8% gather-multiplicative-terms [80] 4.0% ----------------------------------------------------------------------- simplify [71] 100.0% [76] 218(1.4%) 218(1.4%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- simplify [71] 100.0% [77] 198(1.3%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [82] 100.0% ----------------------------------------------------------------------- ??? [7] 2.1% f6 [75] 14.3% loop [63] 36.7% make-exacts* [61] 46.8% [78] 5260(33.3%) 202(1.3%) map ...acket/collects/racket/private/map.rkt:21:13 loop [83] 83.6% f6 [75] 11.4% ??? [7] 2.1% ->flonum [84] 2.1% ----------------------------------------------------------------------- parse-loop50 [74] 100.0% [79] 422(2.7%) 200(1.3%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [85] 52.6% ----------------------------------------------------------------------- f6 [75] 100.0% [80] 240(1.5%) 240(1.5%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- f6 [75] 100.0% [81] 200(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [75] 100.0% ----------------------------------------------------------------------- debug-print [77] 100.0% [82] 198(1.3%) 198(1.3%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- parse-loop50 [74] 0.1% make-exacts* [61] 0.1% map [78] 0.8% option-on-expr [33] 1.3% post-process [21] 1.4% append-map [34] 2.4% taylor [9] 2.6% loop [83] 91.3% [83] 8364(53.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [83] 91.3% simplify [71] 2.6% taylor-alt [43] 2.4% errors [86] 1.3% completely-simplify-alt [5] 1.3% ??? [89] 0.9% ??? [7] 0.1% localize-error [8] 0.0% ----------------------------------------------------------------------- map [78] 100.0% [84] 222(1.4%) 222(1.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ----------------------------------------------------------------------- loop [85] 50.0% parse-app [79] 50.0% [85] 222(1.4%) 222(1.4%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [85] 50.0% ----------------------------------------------------------------------- option-on-expr [33] 14.6% loop [83] 14.8% best-and-tied-at-points [59] 70.6% [86] 1504(9.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [88] 70.6% eval-prog [87] 29.4% ----------------------------------------------------------------------- errors [86] 15.3% ??? [67] 84.7% [87] 2888(18.3%) 2670(16.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [90] 7.5% ----------------------------------------------------------------------- errors [86] 100.0% [88] 1062(6.7%) 640(4.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [89] 39.7% ----------------------------------------------------------------------- for-loop [88] 5.9% loop [83] 94.1% [89] 7118(45.1%) 252(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [91] 69.1% real->bigfloat [92] 20.8% ??? [97] 6.6% ----------------------------------------------------------------------- eval-prog [87] 100.0% [90] 218(1.4%) 218(1.4%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ----------------------------------------------------------------------- ??? [89] 100.0% [91] 4916(31.2%) 222(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 85.6% ...higher-order.rkt:373:33 [94] 5.8% ??? [95] 4.1% ----------------------------------------------------------------------- ??? [89] 100.0% [92] 1480(9.4%) 1480(9.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- ??? [91] 100.0% [93] 4208(26.7%) 2130(13.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfatan2 [96] 27.9% bflog1p [98] 15.9% ??? [100] 5.6% ----------------------------------------------------------------------- ??? [91] 100.0% [94] 286(1.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ----------------------------------------------------------------------- ??? [91] 100.0% [95] 200(1.3%) 200(1.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [93] 100.0% [96] 1176(7.5%) 502(3.2%) bfatan2 ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 57.3% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [94] 37.8% ??? [89] 62.2% [97] 756(4.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [98] 668(4.2%) 0(0.0%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 100.0% ----------------------------------------------------------------------- bflog1p [98] 49.8% bfatan2 [96] 50.2% [99] 1342(8.5%) 1342(8.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [93] 23.6% ??? [97] 76.4% [100] 990(6.3%) 758(4.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 23.4% ----------------------------------------------------------------------- ??? [100] 100.0% [101] 232(1.5%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 100.0% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 232(1.5%) 232(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------