Profiling results ----------------- Total cpu time observed: 198104ms (out of 198908ms) Number of samples taken: 950 (once every 209ms) (Hiding functions with self<1.0% and local<2.0%: 11 of 209 hidden) =========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================== ??? [39] 100.0% [1] 167570(84.6%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------------- ??? [39] 100.0% [2] 163018(82.3%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [8] 96.2% get-final-combination [11] 3.1% loop [54] 0.4% setup-alt-simplified [13] 0.2% --------------------------------------------------------------------------- ??? [97] 100.0% [3] 157610(79.6%) 200(0.1%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [9] 98.8% map-enodes [12] 1.1% --------------------------------------------------------------------------- ??? [97] 100.0% [4] 13218(6.7%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:215:2 pass [10] 100.0% --------------------------------------------------------------------------- substitute-e [42] 13.2% match-e [32] 86.8% [5] 4352(2.2%) 0(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:660:0 ??? [33] 100.0% --------------------------------------------------------------------------- copying-mergesort [196] 100.0% [6] 1028(0.5%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [88] 89.9% ??? [95] 10.1% --------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [7] 167570(84.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [39] 100.0% --------------------------------------------------------------------------- run-improve50 [2] 100.0% [8] 156846(79.2%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [14] 100.0% --------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [9] 155754(78.6%) 2932(1.5%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 loop [15] 65.4% for-loop [16] 28.2% apply-match [22] 4.0% --------------------------------------------------------------------------- loop [4] 100.0% [10] 13218(6.7%) 0(0.0%) pass ...herbie/develop/src/core/simplify.rkt:205:2 for-loop [17] 100.0% --------------------------------------------------------------------------- run-improve50 [2] 100.0% [11] 5094(2.6%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [18] 98.0% extract-alt [20] 2.0% --------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [12] 1656(0.8%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:139:0 loop [156] 93.8% for-loop [164] 6.2% --------------------------------------------------------------------------- run-improve50 [2] 100.0% [13] 346(0.2%) 0(0.0%) setup-alt-simplified .../develop/src/glue.rkt:49:0 simplify-alt [19] 100.0% --------------------------------------------------------------------------- for-loop [8] 100.0% [14] 156846(79.2%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [21] 90.9% finalize-iter! [23] 7.0% gen-series! [26] 1.0% gen-rewrites! [28] 0.4% localize-error [29] 0.4% --------------------------------------------------------------------------- one-iter [9] 100.0% [15] 101804(51.4%) 504(0.3%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [22] 99.5% --------------------------------------------------------------------------- for-loop [16] 49.1% one-iter [9] 50.9% [16] 43884(22.2%) 10226(5.2%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [16] 49.1% match-e [32] 38.3% --------------------------------------------------------------------------- pass [10] 100.0% [17] 13218(6.7%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:208:29 argmin [24] 75.0% loop [25] 18.6% for-loop [27] 6.4% --------------------------------------------------------------------------- get-final-combination [11] 100.0% [18] 4992(2.5%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f101 [108] 100.0% --------------------------------------------------------------------------- setup-alt-simplified [13] 100.0% [19] 346(0.2%) 0(0.0%) simplify-alt ...s/herbie/develop/src/glue.rkt:76:0 ??? [97] 100.0% --------------------------------------------------------------------------- get-final-combination [11] 100.0% [20] 102(0.1%) 0(0.0%) extract-alt ...es/herbie/develop/src/glue.rkt:55:0 loop [120] 100.0% --------------------------------------------------------------------------- run-iter! [14] 100.0% [21] 142562(72.0%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [30] 100.0% --------------------------------------------------------------------------- one-iter [9] 5.7% loop [15] 94.3% [22] 107458(54.2%) 336(0.2%) apply-match ...develop/src/core/simplify.rkt:130:2 for-loop [31] 86.7% match-e [32] 10.2% update-leader! [52] 1.8% reduce-to-single! [37] 0.9% --------------------------------------------------------------------------- run-iter! [14] 100.0% [23] 10998(5.6%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [33] 100.0% --------------------------------------------------------------------------- for-loop [17] 100.0% [24] 9916(5.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [34] 87.1% expression-cost [36] 12.9% --------------------------------------------------------------------------- for-loop [17] 100.0% [25] 2460(1.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [34] 92.6% expression-cost [36] 7.4% --------------------------------------------------------------------------- run-iter! [14] 100.0% [26] 1548(0.8%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [35] 100.0% --------------------------------------------------------------------------- for-loop [17] 100.0% [27] 842(0.4%) 842(0.4%) for-loop ...e/develop/src/core/simplify.rkt:195:13 --------------------------------------------------------------------------- run-iter! [14] 100.0% [28] 698(0.4%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [38] 100.0% --------------------------------------------------------------------------- run-iter! [14] 100.0% [29] 672(0.3%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [99] 100.0% --------------------------------------------------------------------------- simplify! [21] 100.0% [30] 142562(72.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [39] 100.0% --------------------------------------------------------------------------- apply-match [22] 100.0% [31] 93186(47.0%) 966(0.5%) for-loop ...e/develop/src/core/simplify.rkt:145:10 mk-enode! [50] 27.3% merge-egraph-nodes! [41] 25.2% loop! [160] 21.8% substitute-e [42] 20.4% list-member? [109] 4.3% --------------------------------------------------------------------------- apply-match [22] 14.2% for-loop [51] 24.4% for-loop [16] 61.4% [32] 44644(22.5%) 19502(9.8%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [40] 40.9% for-loop [51] 10.0% list-cartesian-product [55] 3.9% variable? [5] 3.3% ??? [33] 3.3% loop [156] 1.2% filter [141] 0.4% --------------------------------------------------------------------------- setfindf [177] 0.6% f101 [108] 0.8% ??? [158] 1.1% debug7 [154] 1.7% substitute-e [42] 2.3% match-e [32] 12.8% variable? [5] 16.9% get-sigs [83] 19.8% finalize-iter! [23] 42.6% [33] 25802(13.0%) 7224(3.6%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [43] 40.9% hash-has-key? [44] 27.5% atab-add-altns [48] 1.8% ??? [49] 1.4% --------------------------------------------------------------------------- loop [25] 20.9% argmin [24] 79.1% [34] 10910(5.5%) 630(0.3%) for-loop .../herbie/develop/src/programs.rkt:199:2 ??? [97] 70.0% ...velop/src/common.rkt:47:2 [98] 24.3% --------------------------------------------------------------------------- gen-series! [26] 100.0% [35] 1548(0.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [45] 100.0% --------------------------------------------------------------------------- loop [25] 12.4% argmin [24] 87.6% [36] 1466(0.7%) 0(0.0%) expression-cost .../develop/src/programs.rkt:198:0 compile [46] 100.0% --------------------------------------------------------------------------- apply-match [22] 100.0% [37] 1010(0.5%) 720(0.4%) reduce-to-single! ...lop/src/core/egraph.rkt:324:0 make-sequence [179] 28.7% --------------------------------------------------------------------------- gen-rewrites! [28] 100.0% [38] 698(0.4%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [47] 100.0% --------------------------------------------------------------------------- for-loop [30] 24.4% run [7] 30.9% [39] 194450(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 ??? [97] 38.1% profile-thunk16 [1] 30.9% run-improve50 [2] 29.8% loop [54] 1.2% --------------------------------------------------------------------------- match-e [32] 100.0% [40] 24536(12.4%) 8188(4.1%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [51] 53.6% list-cartesian-product [55] 9.7% loop [156] 4.9% curry* [61] 1.3% --------------------------------------------------------------------------- merge-egraph-nodes! [41] 5.0% for-loop [56] 7.4% for-loop [31] 87.6% [41] 23514(11.9%) 318(0.2%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [52] 51.1% for-loop [56] 15.1% loop! [160] 15.0% for-loop [57] 9.1% merge-egraph-nodes! [41] 5.0% enode-merge! [59] 3.3% --------------------------------------------------------------------------- substitute-e [42] 5.6% for-loop [31] 94.4% [42] 19028(9.6%) 668(0.3%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [50] 90.3% substitute-e [42] 5.6% ??? [33] 1.0% variable? [5] 1.0% --------------------------------------------------------------------------- ??? [33] 100.0% [43] 10544(5.3%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [53] 100.0% --------------------------------------------------------------------------- mk-enode! [50] 14.3% ??? [33] 85.7% [44] 8292(4.2%) 2818(1.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [107] 52.9% ??? [114] 13.1% --------------------------------------------------------------------------- for-loop [35] 100.0% [45] 1548(0.8%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [58] 100.0% --------------------------------------------------------------------------- expression-cost [36] 100.0% [46] 1466(0.7%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:175:0 hash-ref! [99] 100.0% --------------------------------------------------------------------------- for-loop [38] 100.0% [47] 698(0.4%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [60] 100.0% --------------------------------------------------------------------------- ??? [33] 100.0% [48] 454(0.2%) 0(0.0%) atab-add-altns ...elop/src/core/alt-table.rkt:50:0 atab-add-altn [53] 100.0% --------------------------------------------------------------------------- ??? [33] 100.0% [49] 368(0.2%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [95] 100.0% --------------------------------------------------------------------------- expr->enode [128] 3.9% substitute-e [42] 38.8% for-loop [31] 57.3% [50] 44300(22.4%) 2872(1.4%) mk-enode! ...bie/develop/src/core/egraph.rkt:101:0 new-enode [62] 90.8% hash-has-key? [44] 2.7% --------------------------------------------------------------------------- match-e [32] 37.5% for-loop [40] 62.5% [51] 20902(10.6%) 1426(0.7%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [32] 93.9% --------------------------------------------------------------------------- apply-match [22] 12.7% merge-egraph-nodes! [41] 87.3% [52] 15260(7.7%) 1404(0.7%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [63] 88.7% hash-ref! [99] 0.7% --------------------------------------------------------------------------- atab-add-altns [48] 4.1% for-loop [43] 95.9% [53] 10998(5.6%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [64] 82.7% override-at-pnts [66] 16.4% --------------------------------------------------------------------------- run-improve50 [2] 13.1% ??? [39] 86.9% [54] 5588(2.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 loop [65] 58.8% make-exacts* [77] 26.5% loop [78] 12.8% for-loop [73] 1.9% --------------------------------------------------------------------------- list-cartesian-product [55] 21.1% match-e [32] 34.4% for-loop [40] 44.5% [55] 5300(2.7%) 4416(2.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 21.1% for-loop [67] 15.3% --------------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [56] 5126(2.6%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:200:10 merge-egraph-nodes! [41] 64.8% loop! [160] 35.2% --------------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [57] 2148(1.1%) 1940(1.0%) for-loop ...rbie/develop/src/core/egraph.rkt:232:6 update-en-expr [173] 9.7% --------------------------------------------------------------------------- taylor-alt [45] 100.0% [58] 1548(0.8%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [95] 100.0% --------------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [59] 774(0.4%) 240(0.1%) enode-merge! ...e/develop/src/core/enode.rkt:129:0 adopt-enode! [70] 40.3% custom-set-intersect! [71] 28.7% --------------------------------------------------------------------------- ??? [47] 38.1% matcher [79] 61.9% [60] 698(0.4%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [68] 61.9% f101 [108] 26.2% *rules* [69] 11.9% --------------------------------------------------------------------------- for-loop [40] 100.0% [61] 428(0.2%) 224(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [72] 47.7% --------------------------------------------------------------------------- mk-enode! [50] 100.0% [62] 40240(20.3%) 540(0.3%) new-enode ...erbie/develop/src/core/enode.rkt:97:0 type-of-enode-expr [74] 98.4% set [172] 0.2% --------------------------------------------------------------------------- update-leader! [52] 100.0% [63] 13538(6.8%) 698(0.4%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [76] 94.8% --------------------------------------------------------------------------- atab-add-altn [53] 100.0% [64] 9092(4.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [75] 100.0% --------------------------------------------------------------------------- loop [54] 100.0% [65] 3286(1.7%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 make-exacts* [77] 35.6% eval-prog [86] 32.0% loop [78] 29.4% loop [82] 3.0% --------------------------------------------------------------------------- atab-add-altn [53] 100.0% [66] 1804(0.9%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [75] 100.0% --------------------------------------------------------------------------- list-cartesian-product [55] 100.0% [67] 884(0.4%) 884(0.4%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 --------------------------------------------------------------------------- rewriter [60] 100.0% [68] 698(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [79] 100.0% --------------------------------------------------------------------------- rewriter [60] 100.0% [69] 332(0.2%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:512:0 for-loop [80] 100.0% --------------------------------------------------------------------------- enode-merge! [59] 100.0% [70] 312(0.2%) 0(0.0%) adopt-enode! ...e/develop/src/core/enode.rkt:105:0 custom-set-union [171] 100.0% --------------------------------------------------------------------------- enode-merge! [59] 100.0% [71] 222(0.1%) 222(0.1%) custom-set-intersect! ...ivate/set-types.rkt:269:0 --------------------------------------------------------------------------- curry* [61] 100.0% [72] 204(0.1%) 204(0.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 --------------------------------------------------------------------------- loop [54] 100.0% [73] 104(0.1%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:200:24 for-loop [81] 100.0% --------------------------------------------------------------------------- new-enode [62] 100.0% [74] 39600(20.0%) 500(0.3%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 get-sigs [83] 98.7% --------------------------------------------------------------------------- option-on-expr [161] 2.9% composed [132] 3.4% override-at-pnts [66] 13.1% loop [156] 14.8% best-and-tied-at-points [64] 65.8% [75] 13810(7.0%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [85] 75.4% eval-prog [86] 24.6% --------------------------------------------------------------------------- for-loop [63] 100.0% [76] 12840(6.5%) 398(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [84] 96.9% --------------------------------------------------------------------------- loop [65] 44.1% loop [54] 55.9% [77] 2652(1.3%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [156] 65.1% map [125] 34.9% --------------------------------------------------------------------------- loop [54] 42.6% loop [65] 57.4% [78] 1682(0.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [125] 100.0% --------------------------------------------------------------------------- for-loop [87] 50.0% for-loop [68] 50.0% [79] 698(0.4%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:167:2 for-loop [87] 50.0% rewriter [60] 50.0% --------------------------------------------------------------------------- *rules* [69] 100.0% [80] 332(0.2%) 332(0.2%) for-loop ...ies/herbie/develop/src/common.rkt:99:9 --------------------------------------------------------------------------- for-loop [73] 100.0% [81] 104(0.1%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:201:26 ??? [95] 100.0% --------------------------------------------------------------------------- loop [65] 7.7% loop [82] 92.3% [82] 100(0.1%) 100(0.1%) loop ...htlies/herbie/develop/src/points.rkt:130:2 loop [82] 92.3% --------------------------------------------------------------------------- type-of-enode-expr [74] 100.0% [83] 39100(19.7%) 416(0.2%) get-sigs .../herbie/develop/src/type-check.rkt:5:0 ??? [122] 37.6% ??? [97] 33.6% ...velop/src/common.rkt:47:2 [98] 14.6% ??? [33] 13.0% --------------------------------------------------------------------------- for-loop [76] 100.0% [84] 12442(6.3%) 282(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [89] 97.7% --------------------------------------------------------------------------- errors [75] 100.0% [85] 10414(5.3%) 544(0.3%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [88] 86.1% ??? [95] 6.8% --------------------------------------------------------------------------- loop [65] 23.6% errors [75] 76.4% [86] 4446(2.2%) 1016(0.5%) eval-prog ...herbie/develop/src/programs.rkt:148:0 f101 [108] 40.7% hash-ref! [99] 23.6% parse-lambda [90] 8.1% parse-app [91] 2.5% ??? [92] 2.2% --------------------------------------------------------------------------- matcher [79] 100.0% [87] 698(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:183:21 matcher [79] 100.0% --------------------------------------------------------------------------- map [125] 0.8% loop [198] 6.1% jloop [6] 6.2% loop [156] 26.8% for-loop [85] 60.2% [88] 14898(7.5%) 192(0.1%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [93] 82.9% ??? [95] 12.2% ??? [96] 3.6% --------------------------------------------------------------------------- hash-update! [84] 100.0% [89] 12160(6.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [94] 100.0% --------------------------------------------------------------------------- eval-prog [86] 100.0% [90] 360(0.2%) 360(0.2%) parse-lambda ...llects/racket/private/kw.rkt:437:2 --------------------------------------------------------------------------- eval-prog [86] 100.0% [91] 110(0.1%) 110(0.1%) parse-app .../collects/racket/private/kw.rkt:951:2 --------------------------------------------------------------------------- eval-prog [86] 100.0% [92] 100(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ??? [159] 100.0% --------------------------------------------------------------------------- ??? [88] 100.0% [93] 12356(6.2%) 6750(3.4%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [100] 19.2% ??? [101] 15.9% ??? [103] 7.6% parse-loop12 [153] 1.7% ??? [159] 0.9% --------------------------------------------------------------------------- ??? [89] 100.0% [94] 12160(6.1%) 10784(5.4%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 update-en-expr [173] 11.3% --------------------------------------------------------------------------- jloop [6] 1.5% for-loop [81] 1.5% loop [118] 2.8% loop [198] 3.0% loop [156] 3.5% ??? [49] 5.5% ??? [97] 10.1% for-loop [58] 10.1% for-loop [85] 10.5% f101 [108] 24.4% ??? [88] 27.0% [95] 6722(3.4%) 202(0.1%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [97] 72.9% approximate9 [102] 10.1% ...velop/src/common.rkt:47:2 [98] 5.7% best-alt [105] 5.5% hash-ref! [99] 2.8% --------------------------------------------------------------------------- ??? [88] 100.0% [96] 532(0.3%) 104(0.1%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [104] 80.5% --------------------------------------------------------------------------- simplify-alt [19] 0.1% for-loop [34] 1.4% ??? [97] 2.2% get-sigs [83] 2.5% ??? [95] 2.9% for-loop [106] 44.6% ??? [39] 45.5% [97] 178412(90.1%) 9218(4.7%) ??? ...llects/racket/private/norm-define.rkt:53:83 for-loop [106] 44.6% iterate-egraph!13 [3] 43.0% loop [4] 3.0% ??? [107] 2.6% ??? [97] 2.2% ??? [95] 0.6% mk-egraph [113] 0.4% return/no-unsupplied [127] 0.4% ??? [126] 0.4% ??? [145] 0.2% ??? [114] 0.1% list-member? [109] 0.1% debug7 [154] 0.0% --------------------------------------------------------------------------- ??? [95] 4.4% for-loop [34] 30.2% get-sigs [83] 65.4% [98] 8748(4.4%) 1960(1.0%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [110] 40.9% ??? [111] 36.7% --------------------------------------------------------------------------- update-leader! [52] 2.6% ??? [121] 3.1% ??? [166] 4.3% ??? [119] 5.7% ??? [95] 5.7% eval-prog [86] 10.2% localize-error [29] 13.1% loop [156] 17.1% ??? [112] 17.4% compile [46] 20.7% [99] 3848(1.9%) 916(0.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [112] 43.3% parse-loop12 [153] 17.5% bigfloat-hash [115] 10.2% ??? [119] 5.7% simplify [148] 5.7% ??? [121] 3.1% --------------------------------------------------------------------------- ??? [93] 100.0% [100] 2378(1.2%) 1864(0.9%) ??? ...herbie/develop/src/syntax/syntax.rkt:153:17 ??? [126] 21.6% --------------------------------------------------------------------------- ??? [93] 100.0% [101] 1968(1.0%) 234(0.1%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [116] 48.0% bfsqrt [117] 40.1% --------------------------------------------------------------------------- ??? [95] 100.0% [102] 1548(0.8%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 f101 [108] 63.8% loop [118] 36.2% --------------------------------------------------------------------------- ??? [93] 100.0% [103] 934(0.5%) 934(0.5%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 --------------------------------------------------------------------------- ??? [96] 100.0% [104] 428(0.2%) 222(0.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [131] 48.1% --------------------------------------------------------------------------- ??? [95] 100.0% [105] 368(0.2%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:71:0 loop [120] 100.0% --------------------------------------------------------------------------- ??? [97] 100.0% [106] 165352(83.5%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 ??? [97] 100.0% --------------------------------------------------------------------------- hash-has-key? [44] 26.3% ??? [97] 73.7% [107] 16686(8.4%) 7488(3.8%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [123] 33.1% ??? [139] 19.1% ??? [145] 2.9% --------------------------------------------------------------------------- map [125] 0.4% ??? [166] 1.0% simplify [148] 2.4% eval-const-expr [178] 3.5% rewriter [60] 4.3% eval-prog [86] 6.7% approximate9 [102] 7.4% f101 [108] 17.3% split-table [18] 57.0% [108] 8448(4.3%) 368(0.2%) f101 .../collects/racket/match/compiler.rkt:507:40 loop [156] 52.1% f101 [108] 17.3% map [125] 6.9% ??? [95] 6.4% option-on-expr [161] 4.9% ??? [133] 3.5% ??? [33] 2.4% ??? [122] 1.9% taylor-sqrt [135] 1.8% --------------------------------------------------------------------------- ??? [97] 2.6% for-loop [31] 97.4% [109] 4090(2.1%) 106(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 loop [124] 90.4% member [134] 7.0% --------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [98] 100.0% [110] 3574(1.8%) 912(0.5%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 assoc-ref [129] 34.2% return/no-unsupplied [127] 23.4% ??? [126] 16.8% --------------------------------------------------------------------------- for-loop [155] 1.7% ??? [145] 18.2% ...velop/src/common.rkt:47:2 [98] 80.1% [111] 3214(1.6%) 352(0.2%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [145] 64.3% ??? [158] 16.7% ??? [142] 11.2% --------------------------------------------------------------------------- hash-ref! [99] 100.0% [112] 2298(1.2%) 650(0.3%) ??? ...tlies/herbie/develop/src/programs.rkt:183:5 loop [156] 45.7% hash-ref! [99] 39.6% --------------------------------------------------------------------------- ??? [97] 100.0% [113] 1708(0.9%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:123:0 expr->enode [128] 100.0% --------------------------------------------------------------------------- ??? [97] 23.7% hash-has-key? [44] 76.3% [114] 1420(0.7%) 1420(0.7%) ??? ...ects/racket/contract/private/hash.rkt:245:7 --------------------------------------------------------------------------- hash-ref! [99] 100.0% [115] 1050(0.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [130] 90.7% sig+exp->bigfloat [136] 9.3% --------------------------------------------------------------------------- ??? [101] 100.0% [116] 944(0.5%) 592(0.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [131] 37.3% --------------------------------------------------------------------------- ??? [101] 100.0% [117] 790(0.4%) 684(0.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [131] 13.4% --------------------------------------------------------------------------- approximate9 [102] 100.0% [118] 560(0.3%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [95] 100.0% --------------------------------------------------------------------------- hash-ref! [99] 100.0% [119] 560(0.3%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [99] 100.0% --------------------------------------------------------------------------- extract-alt [20] 21.7% best-alt [105] 78.3% [120] 470(0.2%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:151:2 composed [132] 100.0% --------------------------------------------------------------------------- hash-ref! [99] 100.0% [121] 360(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:357:30 hash-ref! [99] 100.0% --------------------------------------------------------------------------- f101 [108] 1.1% get-sigs [83] 98.9% [122] 14884(7.5%) 392(0.2%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [137] 49.5% for-loop [138] 30.9% get/build-late-neg-projection [162] 15.0% ??? [142] 2.0% --------------------------------------------------------------------------- ??? [107] 100.0% [123] 5528(2.8%) 3360(1.7%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [139] 23.2% for-loop [138] 16.0% --------------------------------------------------------------------------- list-member? [109] 100.0% [124] 3698(1.9%) 3698(1.9%) loop (unknown source) --------------------------------------------------------------------------- f101 [108] 24.4% make-exacts* [77] 26.9% loop [78] 48.8% [125] 3448(1.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [156] 72.3% ??? [166] 15.2% taylor-invert [143] 4.7% ??? [88] 3.4% f101 [108] 2.2% taylor [144] 2.2% --------------------------------------------------------------------------- ??? [100] 25.1% ??? [110] 29.4% ??? [97] 45.5% [126] 2044(1.0%) 200(0.1%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [140] 75.6% ??? [158] 14.6% --------------------------------------------------------------------------- ??? [110] 47.9% ??? [97] 52.1% [127] 1750(0.9%) 760(0.4%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [141] 56.6% --------------------------------------------------------------------------- mk-egraph [113] 41.4% expr->enode [128] 58.6% [128] 1708(0.9%) 0(0.0%) expr->enode ...e/develop/src/core/egraph.rkt:124:2 expr->enode [128] 58.6% mk-enode! [50] 41.4% --------------------------------------------------------------------------- ??? [110] 100.0% [129] 1224(0.6%) 1224(0.6%) assoc-ref ...collects/racket/private/dict.rkt:56:0 --------------------------------------------------------------------------- bigfloat-hash [115] 100.0% [130] 952(0.5%) 952(0.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------------- bfsqrt [117] 16.0% real->bigfloat [104] 31.0% bfdiv [116] 53.0% [131] 664(0.3%) 664(0.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------------- loop [120] 100.0% [132] 470(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [75] 100.0% --------------------------------------------------------------------------- f101 [108] 100.0% [133] 294(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:336:46 ??? [158] 100.0% --------------------------------------------------------------------------- list-member? [109] 100.0% [134] 286(0.1%) 286(0.1%) member (unknown source) --------------------------------------------------------------------------- f101 [108] 100.0% [135] 148(0.1%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:346:0 simplify [148] 100.0% --------------------------------------------------------------------------- bigfloat-hash [115] 100.0% [136] 98(0.0%) 98(0.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------------- ??? [122] 100.0% [137] 7370(3.7%) 208(0.1%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [146] 97.2% --------------------------------------------------------------------------- for-loop [123] 16.2% ??? [122] 83.8% [138] 5482(2.8%) 608(0.3%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [145] 88.9% --------------------------------------------------------------------------- for-loop [123] 28.7% ??? [107] 71.3% [139] 4474(2.3%) 2684(1.4%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [147] 40.0% --------------------------------------------------------------------------- ??? [126] 100.0% [140] 1546(0.8%) 1446(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [150] 6.5% --------------------------------------------------------------------------- match-e [32] 26.7% return/no-unsupplied [127] 73.3% [141] 1350(0.7%) 1350(0.7%) filter ...t/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------------- ??? [122] 45.5% ??? [111] 54.5% [142] 660(0.3%) 660(0.3%) ??? ...ects/racket/contract/private/hash.rkt:222:6 --------------------------------------------------------------------------- map [125] 100.0% [143] 326(0.2%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:312:0 simplify [148] 100.0% --------------------------------------------------------------------------- map [125] 100.0% [144] 152(0.1%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 debug-print [149] 100.0% --------------------------------------------------------------------------- ??? [107] 5.4% ??? [97] 9.0% ??? [111] 30.6% for-loop [138] 55.1% [145] 8848(4.5%) 2500(1.3%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [152] 53.9% ??? [111] 13.2% for-loop [155] 2.4% ??? [159] 2.3% --------------------------------------------------------------------------- ??? [137] 100.0% [146] 7162(3.6%) 346(0.2%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [151] 95.2% --------------------------------------------------------------------------- ??? [139] 100.0% [147] 1790(0.9%) 1790(0.9%) make-keyword-procedure ...ket/private/kw.rkt:260:4 --------------------------------------------------------------------------- taylor-sqrt [135] 14.3% taylor-invert [143] 31.5% hash-ref! [99] 54.2% [148] 1034(0.5%) 148(0.1%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 parse-loop12 [153] 34.8% debug7 [154] 31.5% f101 [108] 19.3% --------------------------------------------------------------------------- taylor [144] 100.0% [149] 152(0.1%) 152(0.1%) debug-print .../herbie/develop/src/debug.rkt:107:0 --------------------------------------------------------------------------- ??? [140] 100.0% [150] 100(0.1%) 100(0.1%) ??? ...ects/racket/contract/private/prop.rkt:256:4 --------------------------------------------------------------------------- ??? [146] 100.0% [151] 6816(3.4%) 476(0.2%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [157] 93.0% --------------------------------------------------------------------------- ??? [145] 100.0% [152] 4770(2.4%) 666(0.3%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [158] 81.6% ??? [159] 4.4% --------------------------------------------------------------------------- ??? [93] 17.3% simplify [148] 28.8% hash-ref! [99] 53.8% [153] 1248(0.6%) 908(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [156] 40.5% --------------------------------------------------------------------------- ??? [97] 24.9% simplify [148] 75.1% [154] 434(0.2%) 0(0.0%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [33] 100.0% --------------------------------------------------------------------------- ??? [145] 100.0% [155] 210(0.1%) 100(0.1%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [111] 52.4% --------------------------------------------------------------------------- map [125] 0.3% make-exacts* [77] 0.3% parse-loop12 [153] 1.0% map-enodes [12] 1.6% option-on-expr [161] 2.2% match-e [32] 2.3% for-loop [40] 2.3% ??? [112] 3.2% f101 [108] 7.3% loop! [160] 12.7% loop [156] 66.8% [156] 33066(16.7%) 2096(1.1%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [156] 66.8% loop! [160] 12.4% option-on-expr [161] 7.3% hash-ref! [99] 3.2% errors [75] 2.2% for-loop [164] 1.6% foldl [167] 1.2% ??? [166] 1.0% ??? [88] 0.6% ??? [170] 0.0% set-precompute! [169] 0.0% ??? [95] 0.0% --------------------------------------------------------------------------- ??? [151] 100.0% [157] 6340(3.2%) 1844(0.9%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [163] 51.2% get/build-late-neg-projection [162] 19.7% --------------------------------------------------------------------------- ??? [133] 5.3% ??? [126] 5.4% ??? [111] 19.3% ??? [152] 70.0% [158] 5562(2.8%) 4192(2.1%) ??? ...ects/racket/contract/private/guts.rkt:644:8 contract? [165] 19.3% ??? [33] 5.3% --------------------------------------------------------------------------- ??? [92] 16.1% ??? [93] 17.7% ??? [145] 32.3% ??? [152] 33.9% [159] 620(0.3%) 310(0.2%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [168] 50.0% --------------------------------------------------------------------------- for-loop [56] 4.5% merge-egraph-nodes! [41] 13.7% loop [156] 33.2% for-loop [31] 48.6% [160] 27246(13.8%) 6212(3.1%) loop! ...s/herbie/develop/src/core/enode.rkt:192:2 loop [156] 36.8% custom-set-union [171] 31.6% set [172] 15.3% update-en-expr [173] 4.7% --------------------------------------------------------------------------- f101 [108] 10.1% loop [156] 89.9% [161] 4992(2.5%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:103:0 sort-context-on-expr [174] 44.8% loop [156] 40.9% errors [75] 8.0% err-lsts->split-indices [183] 6.2% --------------------------------------------------------------------------- ??? [175] 24.9% for-loop [157] 36.0% ??? [122] 39.1% [162] 3478(1.8%) 1154(0.6%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [176] 38.7% ??? [175] 31.3% listof-late-neg-projection [182] 4.7% --------------------------------------------------------------------------- for-loop [157] 100.0% [163] 3244(1.6%) 3244(1.6%) add-list-context ...ontract/private/list.rkt:752:0 --------------------------------------------------------------------------- map-enodes [12] 6.6% loop [156] 93.4% [164] 1544(0.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:173:2 setfindf [177] 52.1% eval-const-expr [178] 26.3% compose [181] 21.6% --------------------------------------------------------------------------- ??? [158] 100.0% [165] 1076(0.5%) 1076(0.5%) contract? ...acket/contract/private/guts.rkt:109:0 --------------------------------------------------------------------------- loop [156] 32.5% map [125] 67.5% [166] 1020(0.5%) 362(0.2%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [99] 32.5% f101 [108] 32.0% --------------------------------------------------------------------------- loop [156] 100.0% [167] 582(0.3%) 224(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [180] 61.5% --------------------------------------------------------------------------- ??? [159] 100.0% [168] 310(0.2%) 110(0.1%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [184] 64.5% --------------------------------------------------------------------------- loop [156] 100.0% [169] 112(0.1%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:172:0 make-sequence [179] 100.0% --------------------------------------------------------------------------- loop [156] 100.0% [170] 102(0.1%) 0(0.0%) ??? ...erbie/develop/src/core/alt-table.rkt:199:30 loop [185] 100.0% --------------------------------------------------------------------------- adopt-enode! [70] 3.1% loop! [160] 96.9% [171] 9994(5.0%) 3250(1.6%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [186] 51.6% for-loop [188] 15.9% --------------------------------------------------------------------------- new-enode [62] 1.3% loop! [160] 98.7% [172] 7876(4.0%) 7876(4.0%) set ...collects/racket/private/set-types.rkt:981:0 --------------------------------------------------------------------------- for-loop [57] 5.0% for-loop [94] 32.9% loop! [160] 62.2% [173] 4186(2.1%) 4186(2.1%) update-en-expr ...evelop/src/core/egraph.rkt:211:0 --------------------------------------------------------------------------- option-on-expr [161] 100.0% [174] 2238(1.1%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [187] 100.0% --------------------------------------------------------------------------- get/build-late-neg-projection [162]100.0% [175] 1954(1.0%) 220(0.1%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [162] 88.7% --------------------------------------------------------------------------- get/build-late-neg-projection [162]100.0% [176] 1774(0.9%) 502(0.3%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [189] 71.7% --------------------------------------------------------------------------- for-loop [164] 100.0% [177] 804(0.4%) 426(0.2%) setfindf ...es/herbie/develop/src/common.rkt:184:0 for-loop [191] 26.4% ??? [33] 20.6% --------------------------------------------------------------------------- for-loop [164] 100.0% [178] 406(0.2%) 112(0.1%) eval-const-expr .../develop/src/programs.rkt:166:0 f101 [108] 72.4% --------------------------------------------------------------------------- set-precompute! [169] 27.9% reduce-to-single! [37] 72.1% [179] 402(0.2%) 402(0.2%) make-sequence ...ects/racket/private/for.rkt:509:2 --------------------------------------------------------------------------- foldl [167] 100.0% [180] 358(0.2%) 358(0.2%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 --------------------------------------------------------------------------- for-loop [164] 100.0% [181] 334(0.2%) 334(0.2%) compose ...collects/racket/private/list.rkt:385:12 --------------------------------------------------------------------------- get/build-late-neg-projection [162]100.0% [182] 330(0.2%) 330(0.2%) listof-late-neg-projection ...ivate/list.rkt:162:0 --------------------------------------------------------------------------- option-on-expr [161] 100.0% [183] 310(0.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:222:0 add-splitpoint [190] 100.0% --------------------------------------------------------------------------- ??? [168] 100.0% [184] 200(0.1%) 200(0.1%) ??? ...ects/racket/contract/private/list.rkt:141:5 --------------------------------------------------------------------------- ??? [170] 100.0% [185] 102(0.1%) 102(0.1%) loop ...ket/collects/racket/private/list.rkt:82:16 --------------------------------------------------------------------------- custom-set-union [171] 100.0% [186] 5158(2.6%) 1992(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [192] 61.4% --------------------------------------------------------------------------- sort-context-on-expr [174] 100.0% [187] 2238(1.1%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [193] 81.9% loop [198] 18.1% --------------------------------------------------------------------------- custom-set-union [171] 100.0% [188] 1586(0.8%) 1586(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 --------------------------------------------------------------------------- contract-struct-name [194] 27.2% ??? [176] 72.8% [189] 1272(0.6%) 1272(0.6%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [194] 27.2% --------------------------------------------------------------------------- err-lsts->split-indices [183] 100.0% [190] 310(0.2%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:235:2 for-loop [195] 100.0% --------------------------------------------------------------------------- setfindf [177] 100.0% [191] 212(0.1%) 212(0.1%) for-loop ...es/herbie/develop/src/common.rkt:185:2 --------------------------------------------------------------------------- for-loop [186] 100.0% [192] 3166(1.6%) 3166(1.6%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------------- ??? [187] 100.0% [193] 1834(0.9%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [196] 89.1% loop [198] 10.9% --------------------------------------------------------------------------- build-compound-type-name [189] 100.0% [194] 692(0.3%) 0(0.0%) contract-struct-name ...ract/private/prop.rkt:89:0 build-compound-type-name [189] 100.0% --------------------------------------------------------------------------- add-splitpoint [190] 100.0% [195] 310(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:237:4 for-loop [197] 100.0% --------------------------------------------------------------------------- generic-sort/key [193] 32.2% copying-mergesort [196] 67.8% [196] 1634(0.8%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [196] 67.8% loop [198] 16.5% jloop [6] 15.7% --------------------------------------------------------------------------- for-loop [195] 100.0% [197] 310(0.2%) 310(0.2%) for-loop ...bie/develop/src/core/regimes.rkt:241:8 --------------------------------------------------------------------------- generic-sort/key [193] 16.5% ??? [187] 33.4% copying-mergesort [196] 50.1% [198] 1210(0.6%) 102(0.1%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [88] 75.0% ??? [95] 16.5% ---------------------------------------------------------------------------