Profiling results ----------------- Total cpu time observed: 21402ms (out of 21664ms) Number of samples taken: 94 (once every 228ms) (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 ====================================================================== ??? [27] 100.0% [1] 20596(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [2] 13630(63.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 93.8% get-final-combination [8] 4.4% setup-prog [9] 1.7% ---------------------------------------------------------------------- simplify-alt [14] 1.9% loop [74] 5.0% ??? [27] 93.1% [3] 12142(56.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 65.8% for-loop [7] 20.1% iterate-egraph!5 [11] 14.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 20596(96.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 12790(59.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [6] 7994(37.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 89.7% loop [12] 10.3% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 2446(11.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 604(2.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 236(1.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [14] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [10] 12790(59.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [15] 89.9% finalize-iter! [17] 6.5% gen-series! [19] 3.6% ---------------------------------------------------------------------- simplify [3] 15.0% for-loop [7] 21.6% simplify-expr [6] 63.4% [11] 11320(52.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [16] 94.7% map-enodes [20] 3.6% debug7 [91] 1.8% ---------------------------------------------------------------------- simplify-expr [6] 100.0% [12] 822(3.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [18] 100.0% ---------------------------------------------------------------------- get-final-combination [8] 100.0% [13] 604(2.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [74] 100.0% ---------------------------------------------------------------------- setup-prog [9] 100.0% [14] 236(1.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 11504(53.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [16] 10716(50.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 57.7% loop [23] 36.5% apply-match [28] 5.8% ---------------------------------------------------------------------- run-iter! [10] 100.0% [17] 826(3.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [18] 822(3.8%) 416(1.9%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [26] 49.4% ---------------------------------------------------------------------- run-iter! [10] 100.0% [19] 460(2.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [20] 404(1.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [74] 100.0% ---------------------------------------------------------------------- simplify! [15] 100.0% [21] 11504(53.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 98.2% debug7 [91] 1.8% ---------------------------------------------------------------------- for-loop [22] 46.5% one-iter [16] 53.5% [22] 6184(28.9%) 1040(4.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 46.5% match-e [34] 41.6% ---------------------------------------------------------------------- one-iter [16] 100.0% [23] 3912(18.3%) 202(0.9%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [28] 94.8% ---------------------------------------------------------------------- finalize-iter! [17] 100.0% [24] 826(3.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 100.0% ---------------------------------------------------------------------- gen-series! [19] 100.0% [25] 460(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ---------------------------------------------------------------------- pass [18] 100.0% [26] 406(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [31] 50.2% loop [32] 49.8% ---------------------------------------------------------------------- for-loop [21] 18.3% run [4] 40.4% [27] 20998(98.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.4% run-improve58 [2] 23.8% simplify [3] 18.3% loop [33] 17.5% ---------------------------------------------------------------------- one-iter [16] 14.3% loop [23] 85.7% [28] 4330(20.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [41] 38.0% for-loop [35] 23.6% match-e [34] 18.5% loop! [78] 10.6% substitute-e [43] 9.3% ---------------------------------------------------------------------- ??? [24] 100.0% [29] 826(3.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [30] 460(2.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [31] 204(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [38] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [32] 202(0.9%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [38] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [33] 7368(34.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [47] 69.1% loop [40] 30.9% ---------------------------------------------------------------------- apply-match [28] 6.2% for-loop [48] 21.4% for-loop [22] 72.4% [34] 5946(27.8%) 2436(11.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [39] 47.0% for-loop [48] 10.6% custom-in-set [46] 3.4% loop [74] 2.0% ---------------------------------------------------------------------- apply-match [28] 100.0% [35] 1020(4.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [41] 58.8% substitute-e [43] 21.6% mk-enode! [52] 19.6% ---------------------------------------------------------------------- for-loop [29] 100.0% [36] 826(3.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [42] 100.0% ---------------------------------------------------------------------- taylor-alt [30] 100.0% [37] 460(2.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ---------------------------------------------------------------------- loop [32] 49.8% argmin [31] 50.2% [38] 406(1.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [45] 100.0% ---------------------------------------------------------------------- match-e [34] 100.0% [39] 3274(15.3%) 1426(6.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [48] 37.7% loop [56] 9.2% curried [57] 6.7% foldl [58] 6.2% list-cartesian-product [59] 3.1% ---------------------------------------------------------------------- loop [33] 100.0% [40] 2276(10.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 59.1% make-exacts* [47] 40.9% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 4.9% for-loop [35] 26.7% apply-match [28] 68.3% [41] 2246(10.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 50.4% for-loop [53] 26.7% loop! [78] 17.9% merge-egraph-nodes! [41] 4.9% ---------------------------------------------------------------------- atab-add-altn [36] 100.0% [42] 826(3.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% ---------------------------------------------------------------------- for-loop [35] 35.4% apply-match [28] 64.6% [43] 622(2.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [52] 100.0% ---------------------------------------------------------------------- location-do [44] 50.0% for-loop [37] 50.0% [44] 460(2.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [44] 50.0% approximate9 [54] 50.0% ---------------------------------------------------------------------- expression-cost [38] 100.0% [45] 406(1.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [55] 100.0% ---------------------------------------------------------------------- match-e [34] 100.0% [46] 200(0.9%) 200(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- loop [40] 15.5% loop [33] 84.5% [47] 6024(28.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [70] 64.9% loop [74] 35.1% ---------------------------------------------------------------------- match-e [34] 43.3% for-loop [39] 56.7% [48] 2902(13.6%) 200(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 85.4% ??? [64] 7.7% ---------------------------------------------------------------------- loop [40] 100.0% [49] 1344(6.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [70] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [50] 1244(5.8%) 200(0.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 66.1% custom-set-union! [65] 17.8% ---------------------------------------------------------------------- best-and-tied-at-points [42] 100.0% [51] 826(3.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [61] 73.4% eval-prog [66] 26.6% ---------------------------------------------------------------------- for-loop [35] 24.3% substitute-e [43] 75.7% [52] 822(3.8%) 622(2.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [69] 24.3% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [53] 600(2.8%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [93] 66.7% ---------------------------------------------------------------------- location-do [44] 100.0% [54] 460(2.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [62] 100.0% ---------------------------------------------------------------------- compile [45] 41.6% ??? [63] 58.4% [55] 406(1.9%) 406(1.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [63] 58.4% ---------------------------------------------------------------------- for-loop [39] 100.0% [56] 402(1.9%) 402(1.9%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- for-loop [39] 100.0% [57] 220(1.0%) 220(1.0%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- for-loop [39] 100.0% [58] 202(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [67] 100.0% ---------------------------------------------------------------------- list-cartesian-product [59] 50.0% for-loop [39] 50.0% [59] 200(0.9%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [59] 50.0% for-loop [68] 50.0% ---------------------------------------------------------------------- update-leader! [50] 100.0% [60] 822(3.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [71] 100.0% ---------------------------------------------------------------------- errors [51] 100.0% [61] 606(2.8%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 33.3% ??? [77] 33.3% ---------------------------------------------------------------------- map [70] 34.8% approximate9 [54] 65.2% [62] 460(2.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [70] 100.0% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [63] 406(1.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [55] 100.0% ---------------------------------------------------------------------- for-loop [48] 100.0% [64] 224(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [72] 100.0% ---------------------------------------------------------------------- update-leader! [50] 100.0% [65] 222(1.0%) 222(1.0%) custom-set-union! ...t/private/set-types.rkt:246:0 ---------------------------------------------------------------------- errors [51] 100.0% [66] 220(1.0%) 220(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- foldl [58] 100.0% [67] 202(0.9%) 202(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- list-cartesian-product [59] 100.0% [68] 200(0.9%) 200(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- mk-enode! [52] 100.0% [69] 200(0.9%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [84] 100.0% ---------------------------------------------------------------------- f94 [62] 8.1% loop [49] 23.5% make-exacts* [47] 68.4% [70] 5714(26.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 91.9% taylor-invert [76] 5.3% f94 [62] 2.8% ---------------------------------------------------------------------- for-loop [60] 100.0% [71] 822(3.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [75] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [72] 224(1.0%) 224(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- for-loop [61] 100.0% [73] 202(0.9%) 202(0.9%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- ??? [77] 0.0% make-exacts* [47] 0.0% map [70] 0.3% match-e [34] 2.5% loop! [78] 2.5% map-enodes [20] 2.9% extract-alt [13] 3.7% loop [74] 88.1% [74] 9436(44.1%) 464(2.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 88.1% simplify [3] 3.7% for-loop [80] 2.9% loop! [78] 2.5% ??? [77] 0.3% real->bigfloat [82] 0.0% ---------------------------------------------------------------------- for-loop [71] 100.0% [75] 822(3.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [79] 100.0% ---------------------------------------------------------------------- map [70] 100.0% [76] 460(2.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [86] 52.2% first-nonzero-exp [81] 47.8% ---------------------------------------------------------------------- for-loop [61] 2.5% loop [74] 97.5% [77] 7974(37.3%) 1538(7.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [82] 36.5% ??? [83] 26.7% loop [74] 8.8% ??? [99] 5.7% ...e/case-arrow.rkt:150:50 [87] 3.1% ---------------------------------------------------------------------- loop [74] 24.4% merge-egraph-nodes! [41] 34.9% apply-match [28] 40.7% [78] 862(4.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [84] 52.4% loop [74] 24.4% custom-set-union [89] 23.2% ---------------------------------------------------------------------- hash-update! [75] 100.0% [79] 822(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [85] 100.0% ---------------------------------------------------------------------- loop [74] 100.0% [80] 404(1.9%) 202(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [88] 50.0% ---------------------------------------------------------------------- taylor-invert [76] 100.0% [81] 220(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [86] 100.0% ---------------------------------------------------------------------- loop [74] 13.9% ??? [77] 86.1% [82] 3382(15.8%) 2952(13.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 12.7% ---------------------------------------------------------------------- ??? [77] 100.0% [83] 2130(10.0%) 194(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 55.3% ...higher-order.rkt:373:33 [92] 35.6% ---------------------------------------------------------------------- new-enode [69] 23.2% loop! [78] 76.8% [84] 862(4.0%) 862(4.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [79] 100.0% [85] 822(3.8%) 620(2.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [93] 24.6% ---------------------------------------------------------------------- first-nonzero-exp [81] 47.8% taylor-invert [76] 52.2% [86] 460(2.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [91] 100.0% ---------------------------------------------------------------------- ??? [77] 100.0% [87] 244(1.1%) 244(1.1%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- for-loop [80] 100.0% [88] 202(0.9%) 202(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- loop! [78] 100.0% [89] 200(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [94] 100.0% ---------------------------------------------------------------------- ??? [83] 100.0% [90] 1178(5.5%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [96] 58.1% ??? [102] 41.9% ---------------------------------------------------------------------- iterate-egraph!5 [11] 23.2% for-loop [21] 23.4% simplify [86] 53.4% [91] 862(4.0%) 460(2.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [97] 46.6% ---------------------------------------------------------------------- ??? [83] 100.0% [92] 758(3.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 100.0% ---------------------------------------------------------------------- for-loop [85] 33.6% for-loop [53] 66.4% [93] 602(2.8%) 602(2.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- custom-set-union [89] 100.0% [94] 200(0.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [98] 100.0% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [92]100.0% [95] 758(3.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [96] 684(3.2%) 486(2.3%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 28.9% ---------------------------------------------------------------------- debug7 [91] 100.0% [97] 402(1.9%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [101] 50.2% ??? [99] 49.8% ---------------------------------------------------------------------- for-loop [94] 100.0% [98] 200(0.9%) 200(0.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [97] 14.2% ??? [77] 32.1% ??? [95] 53.8% [99] 1410(6.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [102] 85.8% dict? [103] 14.2% ---------------------------------------------------------------------- bfadd [96] 31.5% real->bigfloat [82] 68.5% [100] 628(2.9%) 628(2.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [97] 100.0% [101] 202(0.9%) 202(0.9%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ---------------------------------------------------------------------- ??? [90] 29.0% ??? [99] 71.0% [102] 1704(8.0%) 248(1.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [104] 85.4% ---------------------------------------------------------------------- ??? [99] 100.0% [103] 200(0.9%) 200(0.9%) dict? ...ollects/racket/private/generic.rkt:146:11 ---------------------------------------------------------------------- ??? [102] 100.0% [104] 1456(6.8%) 508(2.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [105] 65.1% ---------------------------------------------------------------------- ??? [104] 100.0% [105] 948(4.4%) 948(4.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------