Profiling results ----------------- Total cpu time observed: 87352ms (out of 88116ms) Number of samples taken: 257 (once every 340ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 197 hidden) ======================================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================================= ??? [49] 100.0% [1] 82202(94.1%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% --------------------------------------------------------------------------------------- ??? [49] 100.0% [2] 65636(75.1%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [16] 84.4% get-final-combination [17] 15.1% loop [55] 0.5% --------------------------------------------------------------------------------------- ??? [80] 100.0% [3] 4262(4.9%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [18] 91.4% f6 [60] 8.6% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [4] 2594(3.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [19] 100.0% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [5] 2256(2.6%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [20] 100.0% --------------------------------------------------------------------------------------- copying-mergesort [155] 100.0% [6] 952(1.1%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [77] 100.0% --------------------------------------------------------------------------------------- ??? [82] 100.0% [7] 936(1.1%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:237:2 pass [21] 100.0% --------------------------------------------------------------------------------------- map [68] 100.0% [8] 688(0.8%) 322(0.4%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [143] 53.2% --------------------------------------------------------------------------------------- loop [166] 100.0% [9] 640(0.7%) 0(0.0%) ??? .../herbie/develop/src/core/localize.rkt:43:32 ulp-difference [78] 51.9% ??? [80] 48.1% --------------------------------------------------------------------------------------- f6 [60] 100.0% [10] 366(0.4%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:346:0 simplify [27] 100.0% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [11] 338(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 for-loop [24] 100.0% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [12] 338(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [23] 100.0% --------------------------------------------------------------------------------------- parse-loop12 [152] 100.0% [13] 312(0.4%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:99:13 make-multiplication-node [22] 100.0% --------------------------------------------------------------------------------------- map [68] 100.0% [14] 312(0.4%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 append-map [71] 100.0% --------------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [15] 82202(94.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [49] 100.0% --------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [16] 55392(63.4%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [25] 100.0% --------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [17] 9912(11.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [26] 96.4% extract-alt [31] 3.6% --------------------------------------------------------------------------------------- approximate9 [3] 100.0% [18] 3896(4.5%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [80] 100.0% --------------------------------------------------------------------------------------- ??? [4] 100.0% [19] 2594(3.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- ??? [5] 100.0% [20] 2256(2.6%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 for-loop [28] 100.0% --------------------------------------------------------------------------------------- loop [7] 100.0% [21] 936(1.1%) 0(0.0%) pass ...herbie/develop/src/core/simplify.rkt:227:2 for-loop [29] 100.0% --------------------------------------------------------------------------------------- for-loop [13] 33.5% map [68] 66.5% [22] 932(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [30] 100.0% --------------------------------------------------------------------------------------- ??? [12] 100.0% [23] 338(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- ??? [11] 100.0% [24] 338(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:324:46 simplify [27] 100.0% --------------------------------------------------------------------------------------- for-loop [16] 100.0% [25] 55392(63.4%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [32] 72.2% finalize-iter! [33] 16.5% gen-series! [34] 7.7% localize-error [35] 2.3% gen-rewrites! [37] 1.3% --------------------------------------------------------------------------------------- get-final-combination [17] 100.0% [26] 9556(10.9%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f6 [60] 100.0% --------------------------------------------------------------------------------------- for-loop [24] 7.9% taylor-sqrt [10] 8.6% hash-ref! [143] 83.5% [27] 4262(4.9%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f6 [60] 100.0% --------------------------------------------------------------------------------------- for-loop [20] 100.0% [28] 2256(2.6%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:398:39 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- pass [21] 100.0% [29] 936(1.1%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:230:29 argmin [38] 66.7% loop [40] 33.3% --------------------------------------------------------------------------------------- make-multiplication-node [22] 100.0% [30] 932(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [36] 100.0% --------------------------------------------------------------------------------------- get-final-combination [17] 100.0% [31] 356(0.4%) 0(0.0%) extract-alt ...es/herbie/develop/src/glue.rkt:55:0 loop [39] 100.0% --------------------------------------------------------------------------------------- run-iter! [25] 100.0% [32] 40000(45.8%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [41] 100.0% --------------------------------------------------------------------------------------- run-iter! [25] 100.0% [33] 9156(10.5%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [42] 100.0% --------------------------------------------------------------------------------------- run-iter! [25] 100.0% [34] 4262(4.9%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [43] 100.0% --------------------------------------------------------------------------------------- run-iter! [25] 100.0% [35] 1274(1.5%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- make-multiplication-subnode [30] 100.0% [36] 932(1.1%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:242:3 mterm->expr [44] 100.0% --------------------------------------------------------------------------------------- run-iter! [25] 100.0% [37] 700(0.8%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [45] 100.0% --------------------------------------------------------------------------------------- for-loop [29] 100.0% [38] 624(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [48] 51.9% for-loop [47] 48.1% --------------------------------------------------------------------------------------- extract-alt [31] 100.0% [39] 356(0.4%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:151:2 composed [46] 100.0% --------------------------------------------------------------------------------------- for-loop [29] 100.0% [40] 312(0.4%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [47] 100.0% --------------------------------------------------------------------------------------- simplify! [32] 100.0% [41] 40000(45.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [49] 100.0% --------------------------------------------------------------------------------------- ??? [184] 1.2% setfindf [122] 2.3% substitute-e [120] 2.6% get-sigs [162] 2.7% variable? [132] 10.3% match-e [111] 12.5% finalize-iter! [33] 68.4% [42] 13150(15.1%) 996(1.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [50] 68.4% hash-has-key? [52] 18.8% ??? [184] 5.2% --------------------------------------------------------------------------------------- gen-series! [34] 100.0% [43] 4262(4.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [51] 100.0% --------------------------------------------------------------------------------------- for-loop [36] 100.0% [44] 932(1.1%) 312(0.4%) mterm->expr ...e/develop/src/core/reduce.rkt:270:0 f6 [60] 66.5% --------------------------------------------------------------------------------------- gen-rewrites! [37] 100.0% [45] 700(0.8%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [53] 100.0% --------------------------------------------------------------------------------------- f6 [60] 46.4% loop [39] 53.6% [46] 664(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [65] 53.6% f6 [60] 46.4% --------------------------------------------------------------------------------------- argmin [38] 49.0% loop [40] 51.0% [47] 612(0.7%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:208:2 ??? [82] 100.0% --------------------------------------------------------------------------------------- argmin [38] 100.0% [48] 324(0.4%) 0(0.0%) expression-cost .../develop/src/programs.rkt:207:0 compile [54] 100.0% --------------------------------------------------------------------------------------- for-loop [41] 15.4% run [15] 39.7% [49] 86692(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 39.7% run-improve50 [2] 30.6% ??? [82] 19.8% loop [55] 9.9% --------------------------------------------------------------------------------------- ??? [42] 100.0% [50] 9156(10.5%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [56] 100.0% --------------------------------------------------------------------------------------- for-loop [43] 100.0% [51] 4262(4.9%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [57] 100.0% --------------------------------------------------------------------------------------- mk-enode! [127] 10.7% ??? [42] 89.3% [52] 2956(3.4%) 964(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [90] 44.8% ??? [59] 22.6% --------------------------------------------------------------------------------------- for-loop [45] 100.0% [53] 700(0.8%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [58] 100.0% --------------------------------------------------------------------------------------- expression-cost [48] 100.0% [54] 324(0.4%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:184:0 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- run-improve50 [2] 1.9% ??? [49] 98.1% [55] 17574(20.1%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:205:2 make-exacts* [66] 41.2% loop [62] 29.9% loop [67] 28.9% --------------------------------------------------------------------------------------- for-loop [50] 100.0% [56] 9156(10.5%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [61] 96.6% override-at-pnts [64] 3.4% --------------------------------------------------------------------------------------- taylor-alt [51] 100.0% [57] 4262(4.9%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [80] 100.0% --------------------------------------------------------------------------------------- matcher [69] 50.0% ??? [53] 50.0% [58] 700(0.8%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [63] 50.0% f6 [60] 50.0% --------------------------------------------------------------------------------------- hash-has-key? [52] 100.0% [59] 668(0.8%) 668(0.8%) ??? ...ects/racket/contract/private/hash.rkt:245:7 --------------------------------------------------------------------------------------- composed [46] 0.2% approximate9 [3] 0.4% for-loop [75] 0.5% mterm->expr [44] 1.1% eval-prog [131] 1.4% append-map [71] 1.5% parse-loop12 [152] 1.8% loop [104] 2.4% rewriter [58] 3.0% hash-ref! [143] 6.0% map [68] 7.0% f6 [60] 7.7% simplify [27] 11.5% split-table [26] 55.7% [60] 16162(18.5%) 672(0.8%) f6 ...et/collects/racket/match/compiler.rkt:507:40 loop [104] 45.5% map [68] 26.3% option-on-expr [112] 10.2% f6 [60] 7.7% ??? [82] 3.4% append-map [71] 1.7% ??? [80] 1.4% expression->type [72] 0.5% taylor-sqrt [10] 0.4% composed [46] 0.2% --------------------------------------------------------------------------------------- atab-add-altn [56] 100.0% [61] 8842(10.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 92.6% for-loop [70] 7.4% --------------------------------------------------------------------------------------- loop [55] 100.0% [62] 5252(6.0%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:158:2 make-exacts* [66] 53.7% loop [67] 46.3% --------------------------------------------------------------------------------------- rewriter [58] 100.0% [63] 700(0.8%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [69] 100.0% --------------------------------------------------------------------------------------- atab-add-altn [56] 100.0% [64] 314(0.4%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [65] 100.0% --------------------------------------------------------------------------------------- override-at-pnts [64] 2.3% composed [46] 2.6% option-on-expr [112] 16.3% loop [104] 19.4% best-and-tied-at-points [61] 59.5% [65] 13770(15.8%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:241:0 for-loop [73] 87.9% eval-prog [131] 12.1% --------------------------------------------------------------------------------------- loop [62] 28.0% loop [55] 72.0% [66] 10060(11.5%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [104] 96.9% eval-prog [131] 3.1% --------------------------------------------------------------------------------------- loop [62] 32.4% loop [55] 67.6% [67] 7514(8.6%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 loop [104] 100.0% --------------------------------------------------------------------------------------- ??? [114] 2.3% parse-loop12 [152] 8.7% f6 [60] 88.9% [68] 4578(5.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 parse-loop12 [152] 39.4% f6 [60] 23.8% loop [166] 10.6% ??? [114] 8.1% make-multiplication-node [22] 6.8% loop [104] 4.8% simplify* [8] 3.0% ??? [80] 2.3% simplify-node [14] 1.1% --------------------------------------------------------------------------------------- for-loop [74] 50.0% for-loop [63] 50.0% [69] 700(0.8%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:167:2 for-loop [74] 50.0% rewriter [58] 50.0% --------------------------------------------------------------------------------------- best-and-tied-at-points [61] 100.0% [70] 652(0.7%) 652(0.7%) for-loop .../develop/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------------------------- append-map [71] 25.2% simplify-node [14] 25.2% f6 [60] 49.7% [71] 620(0.7%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [60] 43.5% append-map [71] 25.2% parse-loop12 [152] 25.2% free-variables [76] 6.2% --------------------------------------------------------------------------------------- f6 [60] 33.3% for-loop [75] 66.7% [72] 312(0.4%) 0(0.0%) expression->type ...evelop/src/type-check.rkt:45:0 for-loop [75] 100.0% --------------------------------------------------------------------------------------- errors [65] 100.0% [73] 12098(13.8%) 952(1.1%) for-loop ...es/herbie/develop/src/points.rkt:244:4 ??? [77] 73.4% ??? [80] 13.4% ulp-difference [78] 5.3% --------------------------------------------------------------------------------------- matcher [69] 100.0% [74] 700(0.8%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:183:21 matcher [69] 100.0% --------------------------------------------------------------------------------------- expression->type [72] 100.0% [75] 312(0.4%) 0(0.0%) for-loop ...herbie/develop/src/type-check.rkt:52:5 expression->type [72] 66.7% f6 [60] 33.3% --------------------------------------------------------------------------------------- append-map [71] 100.0% [76] 308(0.4%) 308(0.4%) free-variables ...e/develop/src/programs.rkt:100:0 --------------------------------------------------------------------------------------- ??? [148] 1.1% jloop [6] 3.3% loop [164] 8.5% for-loop [73] 31.2% loop [104] 55.8% [77] 28438(32.6%) 322(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [79] 91.9% ??? [81] 4.8% ??? [80] 2.2% --------------------------------------------------------------------------------------- ??? [9] 34.1% for-loop [73] 65.9% [78] 974(1.1%) 330(0.4%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [94] 34.1% ??? [93] 32.0% --------------------------------------------------------------------------------------- ??? [77] 100.0% [79] 26144(29.9%) 7964(9.1%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [83] 52.9% ??? [84] 10.3% ??? [86] 5.1% ...higher-order.rkt:346:33 [87] 1.3% --------------------------------------------------------------------------------------- ??? [9] 3.0% loop [166] 3.1% map [68] 3.2% ??? [77] 6.1% loop [18] 12.8% f6 [60] 13.0% loop [104] 13.6% ??? [82] 14.6% for-loop [57] 14.6% for-loop [73] 16.0% [80] 10158(11.6%) 332(0.4%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [82] 62.9% approximate9 [3] 14.6% hash-ref! [143] 12.8% ...velop/src/common.rkt:47:2 [171] 3.3% ??? [184] 3.2% --------------------------------------------------------------------------------------- ??? [77] 100.0% [81] 1352(1.5%) 0(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [85] 100.0% --------------------------------------------------------------------------------------- for-loop [47] 0.4% f6 [60] 1.1% get-sigs [162] 1.8% ??? [82] 11.4% ??? [80] 12.2% for-loop [89] 32.7% ??? [49] 40.1% [82] 53672(61.4%) 4848(5.5%) ??? ...llects/racket/private/norm-define.rkt:53:83 iterate-egraph!13 [88] 38.3% for-loop [89] 32.7% ??? [82] 11.4% ??? [80] 3.1% ??? [90] 2.9% return/no-unsupplied [94] 1.8% ??? [93] 1.2% mk-egraph [95] 0.7% loop [7] 0.7% *simplify-rules* [96] 0.7% --------------------------------------------------------------------------------------- ??? [79] 100.0% [83] 13832(15.8%) 8690(9.9%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfatan [91] 22.8% bfadd [92] 14.4% --------------------------------------------------------------------------------------- ??? [79] 100.0% [84] 2682(3.1%) 1384(1.6%) ??? ...herbie/develop/src/syntax/syntax.rkt:155:17 ??? [93] 36.3% list-member? [121] 12.1% --------------------------------------------------------------------------------------- ??? [81] 100.0% [85] 1352(1.5%) 0(0.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 100.0% --------------------------------------------------------------------------------------- ??? [79] 100.0% [86] 1334(1.5%) 1334(1.5%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 --------------------------------------------------------------------------------------- ??? [79] 100.0% [87] 332(0.4%) 0(0.0%) ...higher-order.rkt:346:33 (unknown source) ??? [178] 100.0% --------------------------------------------------------------------------------------- ??? [82] 100.0% [88] 41880(47.9%) 646(0.7%) iterate-egraph!13 ...p/src/core/simplify.rkt:105:0 one-iter [97] 94.5% map-enodes [100] 3.9% --------------------------------------------------------------------------------------- ??? [82] 100.0% [89] 36190(41.4%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:66:12 ??? [82] 100.0% --------------------------------------------------------------------------------------- hash-has-key? [52] 33.7% ??? [82] 66.3% [90] 3932(4.5%) 1900(2.2%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [99] 42.6% ??? [178] 9.1% --------------------------------------------------------------------------------------- ??? [83] 100.0% [91] 3148(3.6%) 2460(2.8%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 21.9% --------------------------------------------------------------------------------------- ??? [83] 100.0% [92] 1994(2.3%) 332(0.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 83.4% --------------------------------------------------------------------------------------- ulp-difference [78] 16.3% ??? [82] 32.7% ??? [84] 51.0% [93] 1910(2.2%) 970(1.1%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [102] 33.5% ??? [184] 15.7% --------------------------------------------------------------------------------------- ulp-difference [78] 25.4% ??? [82] 74.6% [94] 1306(1.5%) 1306(1.5%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 --------------------------------------------------------------------------------------- ??? [82] 100.0% [95] 964(1.1%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:131:0 mk-enode-rec! [101] 100.0% --------------------------------------------------------------------------------------- ??? [82] 100.0% [96] 358(0.4%) 0(0.0%) *simplify-rules* ...lop/src/syntax/rules.rkt:523:0 for-loop [103] 100.0% --------------------------------------------------------------------------------------- iterate-egraph!13 [88] 100.0% [97] 39592(45.3%) 1606(1.8%) one-iter ...ie/develop/src/core/simplify.rkt:116:0 for-loop [105] 52.5% for-loop [106] 43.4% --------------------------------------------------------------------------------------- bfatan [91] 18.6% real->bigfloat [85] 36.5% bfadd [92] 44.9% [98] 3702(4.2%) 3702(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------------------------- ??? [90] 100.0% [99] 1674(1.9%) 688(0.8%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [107] 40.5% successfully-got-the-right-kind-of-function [109] 18.4% --------------------------------------------------------------------------------------- iterate-egraph!13 [88] 100.0% [100] 1642(1.9%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [104] 61.3% for-loop [113] 38.7% --------------------------------------------------------------------------------------- mk-egraph [95] 34.7% mk-enode-rec! [101] 65.3% [101] 964(1.1%) 0(0.0%) mk-enode-rec! ...develop/src/core/egraph.rkt:122:0 mk-enode-rec! [101] 65.3% mk-enode! [127] 34.7% --------------------------------------------------------------------------------------- ??? [93] 100.0% [102] 640(0.7%) 640(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 --------------------------------------------------------------------------------------- *simplify-rules* [96] 100.0% [103] 358(0.4%) 0(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:99:9 ormap [108] 100.0% --------------------------------------------------------------------------------------- loop [67] 0.2% make-exacts* [66] 0.2% map-enodes [100] 0.7% ??? [158] 1.0% map [68] 3.0% loop! [145] 3.1% parse-loop12 [152] 3.5% option-on-expr [112] 3.9% f6 [60] 18.5% loop [104] 65.9% [104] 32636(37.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [104] 65.9% option-on-expr [112] 18.5% errors [65] 3.9% f6 [60] 3.3% ??? [114] 3.2% loop! [145] 3.1% hash-ref! [143] 1.0% for-loop [113] 0.7% ??? [77] 0.3% ??? [80] 0.1% --------------------------------------------------------------------------------------- one-iter [97] 100.0% [105] 20794(23.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:166:2 for-loop [110] 83.9% update-leader! [128] 11.1% reduce-to-single! [115] 3.4% match-e [111] 1.6% --------------------------------------------------------------------------------------- for-loop [106] 49.0% one-iter [97] 51.0% [106] 17192(19.7%) 4978(5.7%) for-loop ...e/develop/src/core/simplify.rkt:126:12 for-loop [106] 49.0% match-e [111] 35.5% --------------------------------------------------------------------------------------- for-loop [99] 100.0% [107] 678(0.8%) 0(0.0%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [116] 100.0% --------------------------------------------------------------------------------------- for-loop [103] 100.0% [108] 358(0.4%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 list-member? [121] 100.0% --------------------------------------------------------------------------------------- for-loop [99] 100.0% [109] 308(0.4%) 308(0.4%) successfully-got-the-right-kind-of-function ...9:4 --------------------------------------------------------------------------------------- for-loop [105] 100.0% [110] 17450(20.0%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:148:10 mk-enode! [127] 36.0% merge-egraph-nodes! [117] 26.8% substitute-e [120] 18.9% loop! [145] 14.6% list-member? [121] 3.8% --------------------------------------------------------------------------------------- for-loop [105] 1.3% for-loop [129] 18.0% for-loop [106] 80.7% [111] 12552(14.4%) 6658(7.6%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [119] 19.6% for-loop [129] 15.2% ??? [42] 7.0% list-cartesian-product [133] 4.0% variable? [132] 4.0% --------------------------------------------------------------------------------------- f6 [60] 17.3% loop [104] 82.7% [112] 9556(10.9%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:103:0 sort-context-on-expr [118] 41.7% loop [104] 28.0% errors [65] 23.4% err-lsts->split-indices [125] 3.5% pick-errors [126] 3.4% --------------------------------------------------------------------------------------- map-enodes [100] 38.7% loop [104] 61.3% [113] 1642(1.9%) 362(0.4%) for-loop ...ie/develop/src/core/simplify.rkt:195:2 setfindf [122] 57.6% eval-const-expr [124] 20.3% --------------------------------------------------------------------------------------- map [68] 15.3% loop [104] 84.7% [114] 1274(1.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [143] 96.4% map [68] 3.6% --------------------------------------------------------------------------------------- for-loop [105] 100.0% [115] 698(0.8%) 334(0.4%) reduce-to-single! ...lop/src/core/egraph.rkt:325:0 for-loop [123] 52.1% --------------------------------------------------------------------------------------- ??? [107] 100.0% [116] 678(0.8%) 678(0.8%) make-keyword-procedure ...ket/private/kw.rkt:260:4 --------------------------------------------------------------------------------------- for-loop [134] 3.7% for-loop [110] 96.3% [117] 4668(5.3%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! [128] 71.5% loop! [145] 11.4% for-loop [134] 10.0% for-loop [138] 7.2% --------------------------------------------------------------------------------------- option-on-expr [112] 100.0% [118] 3988(4.6%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [130] 91.8% eval-prog [131] 8.2% --------------------------------------------------------------------------------------- match-e [111] 100.0% [119] 3600(4.1%) 996(1.1%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [129] 63.2% list-cartesian-product [133] 9.2% --------------------------------------------------------------------------------------- substitute-e [120] 14.1% for-loop [110] 85.9% [120] 3292(3.8%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [127] 78.9% substitute-e [120] 14.1% variable? [132] 3.6% ??? [42] 3.4% --------------------------------------------------------------------------------------- ??? [84] 24.2% ormap [108] 26.7% for-loop [110] 49.1% [121] 1340(1.5%) 682(0.8%) list-member? ...llects/racket/private/set.rkt:24:0 member [136] 24.9% loop [140] 24.2% --------------------------------------------------------------------------------------- for-loop [113] 100.0% [122] 946(1.1%) 302(0.3%) setfindf ...es/herbie/develop/src/common.rkt:184:0 for-loop [135] 35.5% ??? [42] 32.6% --------------------------------------------------------------------------------------- reduce-to-single! [115] 100.0% [123] 364(0.4%) 364(0.4%) for-loop ...rbie/develop/src/core/egraph.rkt:326:8 --------------------------------------------------------------------------------------- for-loop [113] 100.0% [124] 334(0.4%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:166:0 ??? [137] 100.0% --------------------------------------------------------------------------------------- option-on-expr [112] 100.0% [125] 334(0.4%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:222:0 add-splitpoint [139] 100.0% --------------------------------------------------------------------------------------- option-on-expr [112] 100.0% [126] 324(0.4%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:184:0 for-loop [141] 100.0% --------------------------------------------------------------------------------------- mk-enode-rec! [101] 9.8% substitute-e [120] 26.4% for-loop [110] 63.8% [127] 9844(11.3%) 0(0.0%) mk-enode! ...bie/develop/src/core/egraph.rkt:102:0 new-enode [142] 96.8% hash-has-key? [52] 3.2% --------------------------------------------------------------------------------------- for-loop [105] 40.9% merge-egraph-nodes! [117] 59.1% [128] 5644(6.5%) 696(0.8%) update-leader! ...evelop/src/core/egraph.rkt:218:0 for-loop [144] 87.7% --------------------------------------------------------------------------------------- for-loop [119] 40.1% match-e [111] 59.9% [129] 5220(6.0%) 624(0.7%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [111] 82.1% ??? [149] 6.0% --------------------------------------------------------------------------------------- sort-context-on-expr [118] 100.0% [130] 3660(4.2%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [146] 90.6% loop [164] 9.4% --------------------------------------------------------------------------------------- make-exacts* [66] 13.5% sort-context-on-expr [118] 14.2% errors [65] 72.3% [131] 2312(2.6%) 676(0.8%) eval-prog ...herbie/develop/src/programs.rkt:148:0 f6 [60] 57.3% hash-ref! [143] 13.5% --------------------------------------------------------------------------------------- substitute-e [120] 26.4% match-e [111] 73.6% [132] 1354(1.6%) 0(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:662:0 ??? [42] 100.0% --------------------------------------------------------------------------------------- for-loop [119] 16.5% match-e [111] 33.5% list-cartesian-product [133] 50.0% [133] 998(1.1%) 998(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [133] 50.0% --------------------------------------------------------------------------------------- merge-egraph-nodes! [117] 100.0% [134] 638(0.7%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:201:10 merge-egraph-nodes! [117] 54.2% loop! [145] 45.8% --------------------------------------------------------------------------------------- setfindf [122] 100.0% [135] 336(0.4%) 336(0.4%) for-loop ...es/herbie/develop/src/common.rkt:185:2 --------------------------------------------------------------------------------------- list-member? [121] 100.0% [136] 334(0.4%) 334(0.4%) member (unknown source) --------------------------------------------------------------------------------------- eval-const-expr [124] 100.0% [137] 334(0.4%) 334(0.4%) ??? ...cket/collects/racket/private/kw.rkt:1635:39 --------------------------------------------------------------------------------------- merge-egraph-nodes! [117] 100.0% [138] 334(0.4%) 334(0.4%) for-loop ...rbie/develop/src/core/egraph.rkt:233:6 --------------------------------------------------------------------------------------- err-lsts->split-indices [125] 100.0% [139] 334(0.4%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:235:2 for-loop [147] 100.0% --------------------------------------------------------------------------------------- list-member? [121] 100.0% [140] 324(0.4%) 324(0.4%) loop (unknown source) --------------------------------------------------------------------------------------- pick-errors [126] 100.0% [141] 324(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:186:2 ??? [148] 100.0% --------------------------------------------------------------------------------------- mk-enode! [127] 100.0% [142] 9528(10.9%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:97:0 type-of-enode-expr [150] 100.0% --------------------------------------------------------------------------------------- compile [54] 0.7% for-loop [23] 1.4% loop [104] 2.5% eval-prog [131] 2.5% ??? [156] 3.4% ??? [158] 4.5% simplify* [8] 5.9% localize-error [35] 7.2% for-loop [28] 7.5% for-loop [19] 12.2% ??? [114] 13.4% ??? [153] 19.4% ??? [80] 19.4% [143] 6172(7.1%) 690(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [153] 19.4% simplify [27] 18.0% parse-loop12 [152] 14.0% ??? [4] 12.2% ??? [5] 7.5% ??? [158] 7.0% f6 [60] 6.7% ??? [156] 3.4% bigfloat-hash [161] 2.5% ??? [12] 1.4% ??? [11] 1.4% --------------------------------------------------------------------------------------- update-leader! [128] 100.0% [144] 4948(5.7%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:6 for-loop [151] 93.8% update-en-expr [180] 6.2% --------------------------------------------------------------------------------------- for-loop [134] 4.1% merge-egraph-nodes! [117] 9.9% for-loop [110] 42.9% loop [104] 43.0% [145] 3548(4.1%) 300(0.3%) loop! ...s/herbie/develop/src/core/enode.rkt:192:2 loop [104] 43.0% set [154] 30.3% custom-set-union [157] 22.4% --------------------------------------------------------------------------------------- ??? [130] 100.0% [146] 3316(3.8%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [155] 58.1% loop [164] 41.9% --------------------------------------------------------------------------------------- add-splitpoint [139] 100.0% [147] 334(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:237:4 loop [159] 100.0% --------------------------------------------------------------------------------------- for-loop [141] 100.0% [148] 324(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:177:2 ??? [77] 100.0% --------------------------------------------------------------------------------------- for-loop [129] 100.0% [149] 312(0.4%) 0(0.0%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [160] 100.0% --------------------------------------------------------------------------------------- new-enode [142] 100.0% [150] 9528(10.9%) 310(0.4%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 get-sigs [162] 96.7% --------------------------------------------------------------------------------------- for-loop [144] 100.0% [151] 4642(5.3%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:224:8 hash-update! [163] 100.0% --------------------------------------------------------------------------------------- append-map [71] 3.7% parse-loop12 [152] 7.8% hash-ref! [143] 30.3% map [68] 58.1% [152] 4202(4.8%) 1684(1.9%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [104] 30.3% f6 [60] 18.8% map [68] 14.6% parse-loop12 [152] 7.8% for-loop [13] 3.7% parse-app [168] 3.7% loop [166] 3.7% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [153] 3896(4.5%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- loop! [145] 100.0% [154] 2272(2.6%) 2272(2.6%) set ...collects/racket/private/set-types.rkt:981:0 --------------------------------------------------------------------------------------- generic-sort/key [146] 35.0% copying-mergesort [155] 65.0% [155] 1928(2.2%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [155] 65.0% loop [164] 22.7% jloop [6] 12.3% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [156] 1244(1.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:357:30 hash-ref! [143] 100.0% --------------------------------------------------------------------------------------- loop! [145] 100.0% [157] 976(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [165] 100.0% --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [158] 636(0.7%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:192:5 hash-ref! [143] 50.9% loop [104] 49.1% --------------------------------------------------------------------------------------- for-loop [147] 1.9% loop [159] 98.1% [159] 334(0.4%) 334(0.4%) loop ...hare/racket/collects/racket/list.rkt:154:2 loop [159] 98.1% --------------------------------------------------------------------------------------- ??? [149] 100.0% [160] 312(0.4%) 312(0.4%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 --------------------------------------------------------------------------------------- hash-ref! [143] 100.0% [161] 312(0.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [167] 100.0% --------------------------------------------------------------------------------------- type-of-enode-expr [150] 100.0% [162] 9218(10.6%) 0(0.0%) get-sigs .../herbie/develop/src/type-check.rkt:5:0 ??? [169] 54.4% ??? [82] 31.0% ...velop/src/common.rkt:47:2 [171] 10.7% ??? [42] 3.9% --------------------------------------------------------------------------------------- for-loop [151] 100.0% [163] 4642(5.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [170] 100.0% --------------------------------------------------------------------------------------- ??? [130] 12.7% copying-mergesort [155] 36.0% generic-sort/key [146] 51.3% [164] 2708(3.1%) 302(0.3%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [77] 88.8% --------------------------------------------------------------------------------------- custom-set-union [157] 100.0% [165] 976(1.1%) 298(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [172] 69.5% --------------------------------------------------------------------------------------- map [68] 3.0% parse-loop12 [152] 3.6% loop [166] 93.3% [166] 952(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 loop [166] 93.3% ??? [80] 3.6% ??? [9] 3.0% --------------------------------------------------------------------------------------- bigfloat-hash [161] 100.0% [167] 312(0.4%) 312(0.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------------------------- parse-loop12 [152] 100.0% [168] 312(0.4%) 312(0.4%) parse-app .../collects/racket/private/kw.rkt:951:2 --------------------------------------------------------------------------------------- get-sigs [162] 100.0% [169] 5014(5.7%) 0(0.0%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 for-loop [174] 46.8% ??? [175] 39.7% get/build-late-neg-projection [187] 13.4% --------------------------------------------------------------------------------------- hash-update! [163] 100.0% [170] 4642(5.3%) 310(0.4%) ??? ...s/herbie/develop/src/core/egraph.rkt:226:24 for-loop [173] 93.3% --------------------------------------------------------------------------------------- ??? [80] 25.2% get-sigs [162] 74.8% [171] 1316(1.5%) 0(0.0%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [176] 51.1% ??? [177] 48.9% --------------------------------------------------------------------------------------- for-loop [165] 100.0% [172] 678(0.8%) 678(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------------------------- ??? [170] 100.0% [173] 4332(5.0%) 3658(4.2%) for-loop ...bie/develop/src/core/egraph.rkt:227:26 update-en-expr [180] 15.6% --------------------------------------------------------------------------------------- ??? [169] 100.0% [174] 2348(2.7%) 0(0.0%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [178] 100.0% --------------------------------------------------------------------------------------- ??? [169] 100.0% [175] 1992(2.3%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [179] 100.0% --------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [171] 100.0% [176] 672(0.8%) 672(0.8%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 --------------------------------------------------------------------------------------- ??? [178] 24.2% ...velop/src/common.rkt:47:2 [171] 75.8% [177] 644(0.7%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [178] 75.8% ??? [184] 24.2% --------------------------------------------------------------------------------------- ...higher-order.rkt:346:33 [87] 9.0% ??? [90] 9.7% ??? [177] 17.5% for-loop [174] 63.8% [178] 3682(4.2%) 336(0.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [181] 54.6% ??? [186] 9.7% ??? [184] 9.0% for-loop [183] 9.0% ??? [177] 8.5% --------------------------------------------------------------------------------------- ??? [175] 100.0% [179] 1992(2.3%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [182] 100.0% --------------------------------------------------------------------------------------- for-loop [144] 31.2% for-loop [173] 68.8% [180] 980(1.1%) 980(1.1%) update-en-expr ...evelop/src/core/egraph.rkt:212:0 --------------------------------------------------------------------------------------- ??? [178] 100.0% [181] 2012(2.3%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [184] 83.1% ??? [186] 16.9% --------------------------------------------------------------------------------------- ??? [179] 100.0% [182] 1992(2.3%) 360(0.4%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [185] 81.9% --------------------------------------------------------------------------------------- ??? [178] 100.0% [183] 332(0.4%) 332(0.4%) for-loop ...acket/contract/private/list.rkt:190:15 --------------------------------------------------------------------------------------- ??? [93] 8.3% ??? [177] 8.6% ??? [80] 9.0% ??? [178] 9.2% ??? [42] 18.9% ??? [181] 46.1% [184] 3626(4.2%) 2988(3.4%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [42] 9.0% contract? [190] 8.6% --------------------------------------------------------------------------------------- ??? [182] 100.0% [185] 1632(1.9%) 324(0.4%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [188] 40.3% get/build-late-neg-projection [187] 39.8% --------------------------------------------------------------------------------------- ??? [181] 48.7% ??? [178] 51.3% [186] 698(0.8%) 358(0.4%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [189] 48.7% --------------------------------------------------------------------------------------- ??? [192] 25.5% ??? [169] 25.5% for-loop [185] 49.1% [187] 1324(1.5%) 0(0.0%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [191] 74.5% ??? [192] 25.5% --------------------------------------------------------------------------------------- for-loop [185] 100.0% [188] 658(0.8%) 658(0.8%) add-list-context ...ontract/private/list.rkt:752:0 --------------------------------------------------------------------------------------- ??? [186] 100.0% [189] 340(0.4%) 0(0.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [193] 100.0% --------------------------------------------------------------------------------------- ??? [184] 100.0% [190] 312(0.4%) 312(0.4%) contract? ...acket/contract/private/guts.rkt:109:0 --------------------------------------------------------------------------------------- get/build-late-neg-projection [187] 100.0% [191] 1324(1.5%) 674(0.8%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [194] 49.1% --------------------------------------------------------------------------------------- get/build-late-neg-projection [187] 100.0% [192] 674(0.8%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [187] 100.0% --------------------------------------------------------------------------------------- ??? [189] 100.0% [193] 340(0.4%) 340(0.4%) ??? ...ects/racket/contract/private/list.rkt:141:5 --------------------------------------------------------------------------------------- ??? [191] 100.0% [194] 650(0.7%) 304(0.3%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [195] 53.2% --------------------------------------------------------------------------------------- build-compound-type-name [194] 100.0% [195] 346(0.4%) 346(0.4%) contract-struct-name ...ract/private/prop.rkt:89:0 ---------------------------------------------------------------------------------------