Profiling results ----------------- Total cpu time observed: 2767194ms (out of 2775544ms) Number of samples taken: 8047 (once every 344ms) (Hiding functions with self<1.0% and local<2.0%: 30 of 306 hidden) =========================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================================== ??? [62] 100.0% [1] 2304506(83.3%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% ------------------------------------------------------------------------------------------- ??? [62] 100.0% [2] 2259896(81.7%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [19] 89.1% get-final-combination [20] 10.9% loop [129] 0.1% ------------------------------------------------------------------------------------------- ->flonum [158] 100.0% [3] 2186654(79.0%) 0(0.0%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [18] 99.2% debug-print [199] 0.0% ------------------------------------------------------------------------------------------- ->flonum [158] 100.0% [4] 151000(5.5%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:215:2 pass [21] 100.0% ------------------------------------------------------------------------------------------- substitute-e [65] 14.4% match-e [54] 85.6% [5] 58810(2.1%) 1776(0.1%) variable? ...e/develop/src/syntax/syntax.rkt:567:0 ??? [237] 97.0% ------------------------------------------------------------------------------------------- ??? [152] 100.0% [6] 22392(0.8%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [22] 88.0% f176 [44] 12.0% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [7] 15632(0.6%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [23] 100.0% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [8] 11696(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [24] 100.0% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [9] 8608(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:483:23 for-loop [25] 100.0% ------------------------------------------------------------------------------------------- generic-sort/key [98] 5.2% copying-mergesort [116] 94.8% [10] 6974(0.3%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [144] 94.8% errors-score [29] 5.2% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [11] 2764(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:338:33 hash-ref! [160] 61.9% for-loop [26] 38.1% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [12] 984(0.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 for-loop [27] 100.0% ------------------------------------------------------------------------------------------- hash-ref! [160] 49.8% f176 [44] 50.2% [13] 666(0.0%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:386:0 simplify [174] 100.0% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [14] 636(0.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [28] 100.0% ------------------------------------------------------------------------------------------- f176 [44] 100.0% [15] 360(0.0%) 0(0.0%) exprs-to-branch-on ...op/src/core/regimes.rkt:55:0 all-critical-subexpressions [30] 100.0% ------------------------------------------------------------------------------------------- f176 [44] 100.0% [16] 328(0.0%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 debug7 [31] 100.0% ------------------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [17] 2304858(83.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [62] 100.0% ------------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [18] 2168168(78.4%) 12308(0.4%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 loop [33] 83.7% for-loop [34] 14.7% apply-match [43] 0.9% filter [220] 0.0% ------------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [19] 2012882(72.7%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [32] 100.0% ------------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [20] 245224(8.9%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [35] 99.6% extract-alt [38] 0.3% loop [200] 0.1% ------------------------------------------------------------------------------------------- loop [4] 100.0% [21] 151000(5.5%) 1018(0.0%) pass ...herbie/develop/src/core/simplify.rkt:205:2 for-loop [36] 99.3% ------------------------------------------------------------------------------------------- approximate9 [6] 100.0% [22] 19710(0.7%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [152] 60.0% hash-ref! [160] 38.3% for-loop [41] 1.7% ------------------------------------------------------------------------------------------- ??? [7] 100.0% [23] 15632(0.6%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [160] 100.0% ------------------------------------------------------------------------------------------- ??? [8] 100.0% [24] 11696(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 for-loop [37] 100.0% ------------------------------------------------------------------------------------------- ??? [9] 100.0% [25] 8608(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:487:35 parse-loop12 [190] 100.0% ------------------------------------------------------------------------------------------- ??? [11] 100.0% [26] 1054(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:341:46 hash-ref! [160] 100.0% ------------------------------------------------------------------------------------------- ??? [12] 100.0% [27] 984(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:324:46 hash-ref! [160] 69.5% simplify [174] 30.5% ------------------------------------------------------------------------------------------- ??? [14] 100.0% [28] 636(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 hash-ref! [160] 100.0% ------------------------------------------------------------------------------------------- jloop [10] 100.0% [29] 360(0.0%) 0(0.0%) errors-score ...erbie/develop/src/points.rkt:228:0 loop [39] 100.0% ------------------------------------------------------------------------------------------- exprs-to-branch-on [15] 100.0% [30] 360(0.0%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:71:0 for-loop [40] 100.0% ------------------------------------------------------------------------------------------- taylor [16] 100.0% [31] 328(0.0%) 0(0.0%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [204] 100.0% ------------------------------------------------------------------------------------------- for-loop [19] 100.0% [32] 2012882(72.7%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [42] 95.9% finalize-iter! [46] 2.7% gen-series! [47] 1.1% gen-rewrites! [50] 0.1% ------------------------------------------------------------------------------------------- one-iter [18] 100.0% [33] 1814508(65.6%) 2324(0.1%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [43] 99.9% ------------------------------------------------------------------------------------------- for-loop [34] 48.9% one-iter [18] 51.1% [34] 317978(11.5%) 63290(2.3%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [34] 48.9% match-e [54] 39.8% ??? [99] 0.3% ------------------------------------------------------------------------------------------- get-final-combination [20] 100.0% [35] 244192(8.8%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f176 [44] 99.9% ??? [237] 0.1% ------------------------------------------------------------------------------------------- pass [21] 100.0% [36] 149982(5.4%) 3376(0.1%) for-loop ...e/develop/src/core/simplify.rkt:208:29 argmin [45] 74.6% loop [48] 11.7% for-loop [49] 10.5% make-sequence [231] 0.9% ------------------------------------------------------------------------------------------- for-loop [24] 100.0% [37] 11696(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:398:39 hash-ref! [160] 100.0% ------------------------------------------------------------------------------------------- loop [200] 31.4% get-final-combination [20] 68.6% [38] 1032(0.0%) 0(0.0%) extract-alt ...es/herbie/develop/src/glue.rkt:55:0 loop [181] 66.3% argmins [51] 33.7% ------------------------------------------------------------------------------------------- errors-score [29] 100.0% [39] 360(0.0%) 360(0.0%) loop ...hare/racket/collects/racket/list.rkt:551:2 ------------------------------------------------------------------------------------------- all-critical-subexpressions [30] 100.0% [40] 360(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:75:2 f176 [44] 100.0% ------------------------------------------------------------------------------------------- loop [22] 100.0% [41] 334(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:95:29 ??? [108] 100.0% ------------------------------------------------------------------------------------------- run-iter! [32] 100.0% [42] 1929578(69.7%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [52] 100.0% ------------------------------------------------------------------------------------------- one-iter [18] 1.0% loop [33] 99.0% [43] 1831286(66.2%) 7384(0.3%) apply-match ...develop/src/core/simplify.rkt:130:2 for-loop [53] 88.4% match-e [54] 10.4% reduce-to-single! [59] 0.4% update-leader! [77] 0.4% ------------------------------------------------------------------------------------------- ->flonum [158] 0.0% for-loop [40] 0.0% hash-ref! [160] 0.0% free-variables [107] 0.1% loop [200] 0.1% composed [197] 0.1% append-map [61] 0.1% mterm->expr [182] 0.2% approximate9 [6] 0.2% loop [195] 0.3% parse-loop12 [190] 0.6% eval-const-expr [234] 0.6% for-loop [209] 0.6% map [142] 1.1% simplify [174] 1.5% eval-prog [143] 3.4% f176 [44] 9.0% split-table [35] 82.1% [44] 266172(9.6%) 5370(0.2%) f176 .../collects/racket/match/compiler.rkt:507:40 loop [200] 72.9% option-on-expr [55] 9.2% f176 [44] 9.0% ??? [152] 3.1% map [142] 2.2% ??? [159] 0.5% ??? [237] 0.4% ->flonum [158] 0.3% loop [195] 0.3% append-map [61] 0.2% ...velop/src/common.rkt:47:2 [171] 0.1% expression->type [194] 0.1% composed [197] 0.1% ??? [204] 0.1% taylor [16] 0.0% exprs-to-branch-on [15] 0.0% taylor-exp [13] 0.0% ------------------------------------------------------------------------------------------- for-loop [36] 100.0% [45] 111936(4.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [56] 90.7% expression-cost [58] 9.3% ------------------------------------------------------------------------------------------- run-iter! [32] 100.0% [46] 55146(2.0%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [237] 100.0% ------------------------------------------------------------------------------------------- run-iter! [32] 100.0% [47] 23026(0.8%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [57] 100.0% ------------------------------------------------------------------------------------------- for-loop [36] 100.0% [48] 17572(0.6%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [56] 88.4% expression-cost [58] 11.6% ------------------------------------------------------------------------------------------- for-loop [36] 100.0% [49] 15776(0.6%) 15776(0.6%) for-loop ...e/develop/src/core/simplify.rkt:195:13 ------------------------------------------------------------------------------------------- run-iter! [32] 100.0% [50] 1994(0.1%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [60] 100.0% ------------------------------------------------------------------------------------------- extract-alt [38] 100.0% [51] 348(0.0%) 0(0.0%) argmins ...ies/herbie/develop/src/common.rkt:145:0 composed [197] 100.0% ------------------------------------------------------------------------------------------- simplify! [42] 99.0% [52] 1949402(70.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [62] 100.0% debug-print [199] 0.0% ------------------------------------------------------------------------------------------- apply-match [43] 100.0% [53] 1618096(58.5%) 6240(0.2%) for-loop ...e/develop/src/core/simplify.rkt:145:10 loop! [93] 29.6% merge-egraph-nodes! [63] 27.9% mk-enode! [75] 21.3% substitute-e [65] 14.6% list-member? [67] 6.3% ------------------------------------------------------------------------------------------- apply-match [43] 25.4% for-loop [76] 29.4% for-loop [34] 45.2% [54] 444128(16.0%) 120038(4.3%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [64] 53.6% for-loop [76] 8.0% ??? [237] 6.7% variable? [5] 4.4% list-cartesian-product [82] 2.5% loop [200] 1.4% custom-in-set [250] 0.7% curry* [88] 0.5% filter [220] 0.1% ------------------------------------------------------------------------------------------- f176 [44] 11.3% loop [200] 88.7% [55] 243472(8.8%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:103:0 sindices->spoints [66] 49.0% loop [200] 26.3% err-lsts->split-indices [68] 12.8% sort-context-on-expr [70] 8.6% errors [130] 2.5% pick-errors [73] 0.9% ------------------------------------------------------------------------------------------- loop [48] 13.3% argmin [45] 86.7% [56] 117080(4.2%) 5202(0.2%) for-loop .../herbie/develop/src/programs.rkt:199:2 ->flonum [158] 66.5% ...velop/src/common.rkt:47:2 [171] 27.4% ??? [159] 1.7% ------------------------------------------------------------------------------------------- gen-series! [47] 100.0% [57] 23026(0.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [69] 100.0% ------------------------------------------------------------------------------------------- loop [48] 16.5% argmin [45] 83.5% [58] 12428(0.4%) 0(0.0%) expression-cost .../develop/src/programs.rkt:198:0 compile [71] 100.0% ------------------------------------------------------------------------------------------- apply-match [43] 100.0% [59] 7492(0.3%) 2704(0.1%) reduce-to-single! ...lop/src/core/egraph.rkt:324:0 for-loop [72] 32.2% make-sequence [231] 31.7% ------------------------------------------------------------------------------------------- gen-rewrites! [50] 100.0% [60] 1994(0.1%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [74] 100.0% ------------------------------------------------------------------------------------------- f176 [44] 100.0% [61] 1352(0.0%) 694(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f176 [44] 36.1% free-variables [107] 25.8% ------------------------------------------------------------------------------------------- for-loop [52] 24.6% run [17] 30.8% [62] 2699650(97.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 ->flonum [158] 38.1% profile-thunk16 [1] 30.8% run-improve50 [2] 30.1% loop [129] 1.0% ------------------------------------------------------------------------------------------- merge-egraph-nodes! [63] 6.6% for-loop [79] 6.7% for-loop [53] 86.7% [63] 451378(16.3%) 7216(0.3%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [77] 40.0% loop! [93] 17.5% for-loop [81] 17.4% for-loop [79] 13.4% merge-egraph-nodes! [63] 6.6% enode-merge! [86] 2.6% for-loop [196] 0.7% make-sequence [231] 0.5% ------------------------------------------------------------------------------------------- match-e [54] 100.0% [64] 305728(11.0%) 99318(3.6%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [76] 57.4% list-cartesian-product [82] 8.4% loop [200] 4.7% filter [220] 0.7% curry* [88] 0.6% foldl [222] 0.4% ------------------------------------------------------------------------------------------- substitute-e [65] 8.0% for-loop [53] 92.0% [65] 235594(8.5%) 12270(0.4%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [75] 83.6% substitute-e [65] 8.0% ??? [237] 3.1% variable? [5] 1.3% ------------------------------------------------------------------------------------------- option-on-expr [55] 100.0% [66] 119194(4.3%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:116:0 loop [78] 98.9% eval-prog [143] 0.6% for-loop [91] 0.5% ------------------------------------------------------------------------------------------- for-loop [53] 100.0% [67] 101766(3.7%) 2720(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 loop [80] 86.5% member [87] 10.8% ------------------------------------------------------------------------------------------- option-on-expr [55] 100.0% [68] 31064(1.1%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:222:0 add-splitpoint [83] 100.0% ------------------------------------------------------------------------------------------- for-loop [57] 100.0% [69] 23026(0.8%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [84] 100.0% ------------------------------------------------------------------------------------------- option-on-expr [55] 100.0% [70] 21010(0.8%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [85] 98.3% eval-prog [143] 1.7% ------------------------------------------------------------------------------------------- expression-cost [58] 100.0% [71] 12428(0.4%) 682(0.0%) compile ...s/herbie/develop/src/programs.rkt:175:0 hash-ref! [160] 94.5% ------------------------------------------------------------------------------------------- reduce-to-single! [59] 100.0% [72] 2416(0.1%) 2416(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:325:8 ------------------------------------------------------------------------------------------- option-on-expr [55] 100.0% [73] 2082(0.1%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:184:0 for-loop [90] 81.7% point->alt [92] 18.3% ------------------------------------------------------------------------------------------- for-loop [60] 100.0% [74] 1994(0.1%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [89] 100.0% ------------------------------------------------------------------------------------------- mk-egraph [180] 0.2% expr->enode [193] 1.0% substitute-e [65] 35.9% for-loop [53] 62.8% [75] 548068(19.8%) 44310(1.6%) mk-enode! ...bie/develop/src/core/egraph.rkt:101:0 new-enode [94] 89.7% hash-has-key? [247] 2.0% ------------------------------------------------------------------------------------------- match-e [54] 23.5% for-loop [64] 76.5% [76] 253288(9.2%) 14570(0.5%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [54] 92.2% ??? [99] 3.2% ------------------------------------------------------------------------------------------- apply-match [43] 3.4% merge-egraph-nodes! [63] 96.6% [77] 212454(7.7%) 18690(0.7%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [95] 85.3% custom-set-union! [101] 2.6% update-en-expr [201] 1.4% make-sequence [231] 1.1% hash-ref! [160] 0.3% ------------------------------------------------------------------------------------------- loop [78] 9.8% sindices->spoints [66] 90.2% [78] 117910(4.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [96] 90.2% loop [78] 9.8% ------------------------------------------------------------------------------------------- merge-egraph-nodes! [63] 100.0% [79] 93472(3.4%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:200:10 merge-egraph-nodes! [63] 66.2% loop! [93] 33.8% ------------------------------------------------------------------------------------------- list-member? [67] 100.0% [80] 88058(3.2%) 88058(3.2%) loop (unknown source) ------------------------------------------------------------------------------------------- merge-egraph-nodes! [63] 100.0% [81] 80164(2.9%) 63460(2.3%) for-loop ...rbie/develop/src/core/egraph.rkt:232:6 update-en-expr [201] 20.8% ------------------------------------------------------------------------------------------- match-e [54] 20.6% list-cartesian-product [82] 28.5% for-loop [64] 50.9% [82] 45312(1.6%) 39812(1.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [82] 28.5% for-loop [100] 7.6% ------------------------------------------------------------------------------------------- err-lsts->split-indices [68] 100.0% [83] 31064(1.1%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:235:2 for-loop [97] 100.0% ------------------------------------------------------------------------------------------- taylor-alt [69] 100.0% [84] 23026(0.8%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [152] 100.0% ------------------------------------------------------------------------------------------- sort-context-on-expr [70] 98.3% [85] 21016(0.8%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [98] 88.3% loop [126] 11.7% ------------------------------------------------------------------------------------------- merge-egraph-nodes! [63] 100.0% [86] 12234(0.4%) 2418(0.1%) enode-merge! ...e/develop/src/core/enode.rkt:129:0 adopt-enode! [102] 44.7% custom-set-intersect! [103] 35.6% ------------------------------------------------------------------------------------------- list-member? [67] 100.0% [87] 10988(0.4%) 10988(0.4%) member (unknown source) ------------------------------------------------------------------------------------------- match-e [54] 49.6% for-loop [64] 50.4% [88] 5464(0.2%) 1348(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [274] 75.3% ------------------------------------------------------------------------------------------- ??? [74] 37.2% matcher [119] 62.8% [89] 1994(0.1%) 306(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [104] 68.8% expression->type [194] 13.7% *rules* [106] 9.8% ------------------------------------------------------------------------------------------- pick-errors [73] 100.0% [90] 1700(0.1%) 348(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:186:2 ??? [105] 79.5% ------------------------------------------------------------------------------------------- sindices->spoints [66] 100.0% [91] 600(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:117:2 ??? [108] 50.3% free-variables [107] 49.7% ------------------------------------------------------------------------------------------- pick-errors [73] 100.0% [92] 382(0.0%) 0(0.0%) point->alt ...e/develop/src/core/regimes.rkt:171:0 eval-prog [143] 100.0% ------------------------------------------------------------------------------------------- for-loop [79] 3.5% merge-egraph-nodes! [63] 12.0% loop [200] 29.8% for-loop [53] 54.7% [93] 619554(22.4%) 117136(4.2%) loop! ...s/herbie/develop/src/core/enode.rkt:192:2 custom-set-union [110] 40.1% loop [200] 33.7% set [112] 10.7% update-en-expr [201] 5.0% ------------------------------------------------------------------------------------------- mk-enode! [75] 100.0% [94] 491566(17.8%) 2066(0.1%) new-enode ...erbie/develop/src/core/enode.rkt:97:0 type-of-enode-expr [109] 98.8% set [112] 0.5% ------------------------------------------------------------------------------------------- update-leader! [77] 100.0% [95] 181278(6.6%) 5856(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [111] 96.6% update-en-expr [201] 0.2% ------------------------------------------------------------------------------------------- loop [78] 100.0% [96] 117910(4.3%) 0(0.0%) sidx->spoint ...develop/src/core/regimes.rkt:126:2 binary-search [113] 60.6% binary-search-floats [114] 39.4% ------------------------------------------------------------------------------------------- add-splitpoint [83] 100.0% [97] 31064(1.1%) 2398(0.1%) for-loop ...bie/develop/src/core/regimes.rkt:237:4 for-loop [115] 92.3% ------------------------------------------------------------------------------------------- ??? [85] 100.0% [98] 18562(0.7%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [116] 87.5% loop [126] 10.5% jloop [10] 1.9% ------------------------------------------------------------------------------------------- for-loop [34] 15.7% for-loop [76] 84.3% [99] 10864(0.4%) 7044(0.3%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [117] 35.2% ------------------------------------------------------------------------------------------- list-cartesian-product [82] 100.0% [100] 5500(0.2%) 5500(0.2%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------------------------- update-leader! [77] 100.0% [101] 5496(0.2%) 3488(0.1%) custom-set-union! ...t/private/set-types.rkt:245:0 for-loop [118] 36.5% ------------------------------------------------------------------------------------------- enode-merge! [86] 100.0% [102] 5466(0.2%) 2386(0.1%) adopt-enode! ...e/develop/src/core/enode.rkt:105:0 custom-set-union [110] 56.3% ------------------------------------------------------------------------------------------- enode-merge! [86] 100.0% [103] 4350(0.2%) 3992(0.1%) custom-set-intersect! ...ivate/set-types.rkt:269:0 for-loop [120] 8.2% ------------------------------------------------------------------------------------------- rewriter [89] 100.0% [104] 1994(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [119] 100.0% ------------------------------------------------------------------------------------------- ??? [268] 21.0% for-loop [90] 79.0% [105] 1712(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:177:2 ??? [144] 100.0% ------------------------------------------------------------------------------------------- rewriter [89] 100.0% [106] 662(0.0%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:484:0 for-loop [196] 100.0% ------------------------------------------------------------------------------------------- for-loop [91] 22.6% append-map [61] 77.4% [107] 658(0.0%) 298(0.0%) free-variables ...e/develop/src/programs.rkt:100:0 ??? [237] 54.7% f176 [44] 22.6% ------------------------------------------------------------------------------------------- for-loop [91] 47.5% for-loop [41] 52.5% [108] 636(0.0%) 334(0.0%) ??? ...tract/private/arrow-higher-order.rkt:346:33 ->flonum [158] 47.5% ------------------------------------------------------------------------------------------- new-enode [94] 100.0% [109] 485772(17.6%) 10844(0.4%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 get-sigs [121] 97.8% ------------------------------------------------------------------------------------------- adopt-enode! [102] 1.1% loop! [93] 98.9% [110] 278666(10.1%) 88548(3.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [123] 59.3% for-loop [125] 9.0% ------------------------------------------------------------------------------------------- for-loop [95] 100.0% [111] 175090(6.3%) 2660(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [122] 98.5% ------------------------------------------------------------------------------------------- new-enode [94] 1.9% loop! [93] 98.1% [112] 139476(5.0%) 139476(5.0%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------------------------- sidx->spoint [96] 100.0% [113] 71472(2.6%) 0(0.0%) binary-search ...rbie/develop/src/common.rkt:221:0 pred [124] 100.0% ------------------------------------------------------------------------------------------- sidx->spoint [96] 100.0% [114] 46438(1.7%) 0(0.0%) binary-search-floats ...velop/src/common.rkt:236:0 pred [124] 100.0% ------------------------------------------------------------------------------------------- for-loop [97] 100.0% [115] 28666(1.0%) 28666(1.0%) for-loop ...bie/develop/src/core/regimes.rkt:241:8 ------------------------------------------------------------------------------------------- copying-mergesort [116] 49.0% generic-sort/key [98] 51.0% [116] 16248(0.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [116] 49.0% loop [126] 40.8% jloop [10] 10.2% ------------------------------------------------------------------------------------------- ??? [99] 100.0% [117] 3820(0.1%) 3162(0.1%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ??? [237] 17.2% ------------------------------------------------------------------------------------------- custom-set-union! [101] 100.0% [118] 2008(0.1%) 2008(0.1%) for-loop ...cts/racket/private/set-types.rkt:253:4 ------------------------------------------------------------------------------------------- for-loop [127] 12.2% matcher [119] 38.6% for-loop [104] 49.2% [119] 1994(0.1%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:167:2 rewriter [89] 45.6% matcher [119] 38.6% for-loop [127] 12.2% ??? [237] 3.6% ------------------------------------------------------------------------------------------- custom-set-intersect! [103] 100.0% [120] 358(0.0%) 358(0.0%) for-loop ...cts/racket/private/set-types.rkt:282:4 ------------------------------------------------------------------------------------------- type-of-enode-expr [109] 100.0% [121] 474928(17.2%) 10186(0.4%) get-sigs .../herbie/develop/src/type-check.rkt:5:0 ??? [159] 42.2% ->flonum [158] 29.2% ??? [237] 13.9% ...velop/src/common.rkt:47:2 [171] 12.6% ------------------------------------------------------------------------------------------- for-loop [111] 100.0% [122] 172430(6.2%) 2120(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [128] 98.8% ------------------------------------------------------------------------------------------- custom-set-union [110] 100.0% [123] 165168(6.0%) 50690(1.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [131] 69.3% ------------------------------------------------------------------------------------------- binary-search-floats [114] 39.4% binary-search [113] 60.6% [124] 117910(4.3%) 0(0.0%) pred ...herbie/develop/src/core/regimes.rkt:132:17 loop [129] 88.2% errors [130] 11.8% ------------------------------------------------------------------------------------------- custom-set-union [110] 100.0% [125] 24950(0.9%) 24950(0.9%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------------------------- generic-sort/key [98] 13.9% ??? [85] 17.5% copying-mergesort [116] 68.6% [126] 14042(0.5%) 1074(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [144] 92.4% ------------------------------------------------------------------------------------------- matcher [119] 100.0% [127] 968(0.0%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:183:21 matcher [119] 100.0% ------------------------------------------------------------------------------------------- hash-update! [122] 100.0% [128] 170310(6.2%) 2370(0.1%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [132] 98.6% ------------------------------------------------------------------------------------------- run-improve50 [2] 0.9% ??? [62] 34.2% pred [124] 64.9% [129] 160192(5.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 loop [134] 49.6% loop [137] 34.7% make-exacts* [138] 13.3% for-loop [135] 1.9% filter-exacts [136] 0.2% ------------------------------------------------------------------------------------------- override-at-pnts [261] 2.4% composed [197] 2.5% option-on-expr [55] 4.4% pred [124] 9.9% best-and-tied-at-points [260] 35.5% loop [200] 45.0% [130] 140618(5.1%) 322(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [133] 82.1% eval-prog [143] 17.6% ------------------------------------------------------------------------------------------- for-loop [123] 100.0% [131] 114478(4.1%) 114478(4.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------------------- ??? [128] 100.0% [132] 167940(6.1%) 142420(5.1%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 update-en-expr [201] 15.2% ------------------------------------------------------------------------------------------- errors [130] 100.0% [133] 115488(4.2%) 5852(0.2%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [144] 87.8% ??? [152] 3.6% ulp-difference [139] 3.0% ??? [246] 0.3% ------------------------------------------------------------------------------------------- loop [129] 100.0% [134] 79530(2.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 eval-prog [143] 72.2% loop [137] 16.1% make-exacts* [138] 11.7% ------------------------------------------------------------------------------------------- loop [129] 100.0% [135] 3080(0.1%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:200:24 for-loop [140] 100.0% ------------------------------------------------------------------------------------------- loop [129] 100.0% [136] 352(0.0%) 0(0.0%) filter-exacts ...rbie/develop/src/points.rkt:166:0 for-loop [141] 100.0% ------------------------------------------------------------------------------------------- loop [134] 18.7% loop [129] 81.3% [137] 68354(2.5%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [142] 100.0% ------------------------------------------------------------------------------------------- loop [134] 30.4% loop [129] 69.6% [138] 30660(1.1%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [200] 50.6% map [142] 48.3% eval-prog [143] 1.1% ------------------------------------------------------------------------------------------- for-loop [133] 100.0% [139] 3434(0.1%) 2036(0.1%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [205] 20.8% ??? [204] 19.9% ------------------------------------------------------------------------------------------- for-loop [135] 100.0% [140] 3080(0.1%) 716(0.0%) for-loop ...s/herbie/develop/src/points.rkt:201:26 ??? [152] 76.8% ------------------------------------------------------------------------------------------- filter-exacts [136] 100.0% [141] 352(0.0%) 352(0.0%) for-loop ...es/herbie/develop/src/points.rkt:169:4 ------------------------------------------------------------------------------------------- parse-loop12 [190] 1.6% f176 [44] 9.0% make-exacts* [138] 15.8% loop [137] 73.2% [142] 93376(3.4%) 360(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [200] 66.4% ??? [144] 21.8% f176 [44] 4.8% parse-loop12 [190] 4.0% ??? [152] 1.1% make-multiplication-node [145] 1.0% simplify* [213] 0.3% ??? [150] 0.2% ------------------------------------------------------------------------------------------- make-exacts* [138] 0.4% sort-context-on-expr [70] 0.4% point->alt [92] 0.5% sindices->spoints [66] 0.8% errors [130] 29.5% loop [134] 68.4% [143] 83996(3.0%) 27742(1.0%) eval-prog ...herbie/develop/src/programs.rkt:148:0 f176 [44] 44.2% hash-ref! [160] 15.7% ??? [146] 1.7% go [147] 1.3% ??? [148] 1.2% ??? [152] 1.2% parse-lambda [149] 0.8% parse-app [211] 0.8% ------------------------------------------------------------------------------------------- ??? [105] 0.8% jloop [10] 3.0% loop [126] 6.0% map [142] 9.4% loop [200] 34.2% for-loop [133] 46.6% [144] 217342(7.9%) 4022(0.1%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [151] 84.4% ??? [152] 7.7% ??? [163] 6.0% ------------------------------------------------------------------------------------------- parse-loop12 [190] 9.7% simplify [174] 26.2% map [142] 64.1% [145] 3740(0.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [153] 100.0% ------------------------------------------------------------------------------------------- eval-prog [143] 100.0% [146] 1456(0.1%) 756(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [156] 48.1% ------------------------------------------------------------------------------------------- eval-prog [143] 100.0% [147] 1076(0.0%) 356(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [155] 66.9% ------------------------------------------------------------------------------------------- eval-prog [143] 100.0% [148] 1044(0.0%) 0(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack245 [154] 100.0% ------------------------------------------------------------------------------------------- eval-prog [143] 100.0% [149] 694(0.0%) 358(0.0%) parse-lambda ...llects/racket/private/kw.rkt:437:2 loop [224] 48.4% ------------------------------------------------------------------------------------------- map [142] 100.0% [150] 334(0.0%) 0(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:61:5 for-loop [157] 100.0% ------------------------------------------------------------------------------------------- ??? [144] 100.0% [151] 183414(6.6%) 79756(2.9%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [161] 18.9% ??? [173] 16.9% bf* [162] 9.7% ??? [164] 7.3% parse-loop12 [190] 1.6% ??? [221] 0.6% ------------------------------------------------------------------------------------------- for-loop [169] 0.2% for-loop [219] 0.8% eval-prog [143] 1.2% map [142] 1.2% ??? [251] 2.4% loop [200] 2.5% for-loop [140] 2.7% ??? [179] 2.9% loop [22] 4.5% for-loop [133] 4.7% for-loop [84] 9.4% ->flonum [158] 9.6% ??? [144] 18.8% f176 [44] 39.2% [152] 87754(3.2%) 5458(0.2%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ->flonum [158] 46.8% ??? [227] 16.3% approximate9 [6] 9.1% hash-ref! [160] 7.4% ...velop/src/common.rkt:47:2 [171] 6.8% ??? [159] 3.6% best-alt [166] 2.4% ??? [163] 0.4% simplify [174] 0.4% arrow-higher-order:lnp [265] 0.2% ------------------------------------------------------------------------------------------- make-multiplication-node [145] 100.0% [153] 3740(0.1%) 362(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [165] 81.6% group-by68 [168] 8.7% ------------------------------------------------------------------------------------------- ??? [148] 100.0% [154] 1044(0.0%) 0(0.0%) unpack245 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [167] 100.0% ------------------------------------------------------------------------------------------- go [147] 100.0% [155] 720(0.0%) 720(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 ------------------------------------------------------------------------------------------- ??? [146] 100.0% [156] 700(0.0%) 700(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------------------- ??? [150] 100.0% [157] 334(0.0%) 334(0.0%) for-loop ...erbie/develop/src/core/reduce.rkt:62:7 ------------------------------------------------------------------------------------------- ??? [108] 0.0% f176 [44] 0.1% for-loop [56] 1.1% ??? [152] 1.8% get-sigs [121] 1.9% ->flonum [158] 2.1% for-loop [169] 45.6% ??? [62] 46.7% [158] 2401274(86.8%) 71830(2.6%) ->flonum ...s/racket/private/norm-define.rkt:53:83 for-loop [169] 45.6% iterate-egraph!13 [3] 44.6% loop [4] 2.6% ??? [254] 2.3% ->flonum [158] 2.1% ??? [152] 0.5% ??? [204] 0.3% return/no-unsupplied [205] 0.2% mk-egraph [180] 0.1% ??? [186] 0.1% ??? [183] 0.0% dict? [241] 0.0% ??? [257] 0.0% *simplify-rules* [185] 0.0% f176 [44] 0.0% ------------------------------------------------------------------------------------------- for-loop [56] 1.0% f176 [44] 1.1% ??? [152] 1.5% get-sigs [121] 96.4% [159] 207696(7.5%) 12146(0.4%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [170] 50.8% for-loop [172] 33.7% get/build-late-neg-projection [228] 7.7% ??? [264] 1.0% ??? [263] 0.2% ------------------------------------------------------------------------------------------- simplify* [213] 0.1% for-loop [27] 0.2% for-loop [28] 0.3% for-loop [26] 0.3% ??? [11] 0.4% ??? [179] 1.1% update-leader! [77] 1.4% loop [22] 2.8% for-loop [207] 3.2% for-loop [37] 5.0% ??? [176] 8.6% for-loop [23] 9.6% ??? [152] 10.5% eval-prog [143] 10.7% ??? [175] 11.7% compile [71] 13.7% loop [200] 17.8% [160] 46300(1.7%) 12766(0.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [175] 31.0% simplify [174] 11.5% bigfloat-hash [178] 9.7% ??? [7] 9.6% ??? [176] 8.6% ??? [8] 5.0% ??? [179] 3.9% ??? [9] 3.3% ??? [11] 0.8% parse-loop12 [190] 0.7% ??? [12] 0.4% taylor-exp [13] 0.4% ??? [14] 0.3% f176 [44] 0.2% ------------------------------------------------------------------------------------------- ??? [151] 100.0% [161] 34698(1.3%) 18866(0.7%) ??? ...herbie/develop/src/syntax/syntax.rkt:122:17 ??? [204] 24.8% return/no-unsupplied [205] 20.8% ------------------------------------------------------------------------------------------- ??? [151] 100.0% [162] 17760(0.6%) 326(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [173] 98.2% ------------------------------------------------------------------------------------------- ??? [152] 2.7% ??? [144] 97.3% [163] 13472(0.5%) 1112(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [177] 89.0% integer->bigfloat [184] 2.7% ------------------------------------------------------------------------------------------- ??? [151] 100.0% [164] 13328(0.5%) 13328(0.5%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ------------------------------------------------------------------------------------------- make-multiplication-subnode [153] 100.0% [165] 3052(0.1%) 356(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:242:3 mterm->expr [182] 88.3% ------------------------------------------------------------------------------------------- ??? [152] 100.0% [166] 2446(0.1%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:71:0 loop [181] 100.0% ------------------------------------------------------------------------------------------- unpack245 [154] 100.0% [167] 1044(0.0%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 arrow-higher-order:lnp [265] 64.8% successfully-got-the-right-kind-of-function [266] 35.2% ------------------------------------------------------------------------------------------- make-multiplication-subnode [153] 100.0% [168] 326(0.0%) 326(0.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------------------------- ->flonum [158] 100.0% [169] 2258780(81.6%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 ->flonum [158] 100.0% ??? [152] 0.0% ------------------------------------------------------------------------------------------- ??? [159] 100.0% [170] 105610(3.8%) 6140(0.2%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [187] 94.2% ------------------------------------------------------------------------------------------- f176 [44] 0.6% ??? [152] 6.1% for-loop [56] 32.5% get-sigs [121] 60.5% [171] 98770(3.6%) 33294(1.2%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [218] 34.2% ??? [188] 31.5% ------------------------------------------------------------------------------------------- for-loop [259] 20.6% ??? [159] 79.4% [172] 88246(3.2%) 11690(0.4%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [186] 85.3% ??? [221] 1.4% ------------------------------------------------------------------------------------------- bf* [162] 36.0% ??? [151] 64.0% [173] 48448(1.8%) 11452(0.4%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfadd [189] 59.0% bflog [192] 17.4% ------------------------------------------------------------------------------------------- for-loop [27] 1.3% parse-loop12 [190] 1.3% ??? [152] 2.8% taylor-exp [13] 3.0% hash-ref! [160] 87.0% [174] 22364(0.8%) 632(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f176 [44] 53.1% parse-loop12 [190] 35.0% make-multiplication-node [145] 4.4% loop [195] 3.0% debug-print [199] 1.6% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [175] 20482(0.7%) 1028(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:183:5 loop [200] 55.9% hash-ref! [160] 41.4% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [176] 18032(0.7%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [160] 100.0% ------------------------------------------------------------------------------------------- ??? [163] 100.0% [177] 11992(0.4%) 9020(0.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [206] 24.8% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [178] 11490(0.4%) 318(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [191] 82.1% sig+exp->bigfloat [198] 9.2% bigfloat->sig+exp [212] 6.0% ------------------------------------------------------------------------------------------- hash-ref! [160] 100.0% [179] 7542(0.3%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 ??? [152] 74.8% hash-ref! [160] 25.2% ------------------------------------------------------------------------------------------- ->flonum [158] 100.0% [180] 6920(0.3%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:123:0 expr->enode [193] 82.0% mk-enode! [75] 18.0% ------------------------------------------------------------------------------------------- extract-alt [38] 21.9% best-alt [166] 78.1% [181] 3130(0.1%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:146:2 composed [197] 100.0% ------------------------------------------------------------------------------------------- for-loop [165] 100.0% [182] 2696(0.1%) 0(0.0%) mterm->expr ...e/develop/src/core/reduce.rkt:270:0 expression->type [194] 63.4% f176 [44] 36.6% ------------------------------------------------------------------------------------------- ->flonum [158] 100.0% [183] 694(0.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:60:15 ??? [206] 100.0% ------------------------------------------------------------------------------------------- ??? [163] 100.0% [184] 368(0.0%) 368(0.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------------------------------- ->flonum [158] 100.0% [185] 364(0.0%) 0(0.0%) *simplify-rules* ...lop/src/syntax/rules.rkt:488:0 for-loop [196] 100.0% ------------------------------------------------------------------------------------------- ->flonum [158] 2.3% ??? [254] 2.7% ??? [218] 25.4% for-loop [172] 67.7% [186] 111268(4.0%) 21804(0.8%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [203] 63.4% ??? [218] 9.2% for-loop [208] 5.6% ??? [221] 1.5% ??? [227] 0.7% ------------------------------------------------------------------------------------------- ??? [170] 100.0% [187] 99470(3.6%) 6162(0.2%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [202] 93.8% ------------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [171] 100.0% [188] 31100(1.1%) 9048(0.3%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 ??? [204] 35.2% return/no-unsupplied [205] 23.0% assoc-ref [210] 12.6% ------------------------------------------------------------------------------------------- ??? [173] 100.0% [189] 28572(1.0%) 16206(0.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [206] 43.3% ------------------------------------------------------------------------------------------- hash-ref! [160] 2.0% loop [200] 4.9% simplify [174] 11.8% parse-loop12 [190] 16.5% ??? [151] 17.1% map [142] 17.6% for-loop [25] 30.2% [190] 16806(0.6%) 9362(0.3%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 for-loop [207] 28.4% parse-loop12 [190] 16.5% loop [200] 9.4% f176 [44] 6.4% map [142] 2.9% parse-app [211] 2.1% simplify [174] 1.8% simplify* [213] 1.0% make-multiplication-node [145] 0.5% ------------------------------------------------------------------------------------------- bigfloat-hash [178] 100.0% [191] 9428(0.3%) 8678(0.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [212] 8.0% ------------------------------------------------------------------------------------------- ??? [173] 100.0% [192] 8424(0.3%) 5524(0.2%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [206] 34.4% ------------------------------------------------------------------------------------------- mk-egraph [180] 43.5% expr->enode [193] 56.5% [193] 5672(0.2%) 0(0.0%) expr->enode ...e/develop/src/core/egraph.rkt:124:2 expr->enode [193] 56.5% mk-enode! [75] 43.5% ------------------------------------------------------------------------------------------- rewriter [89] 13.2% for-loop [209] 13.7% f176 [44] 18.5% loop [195] 20.8% mterm->expr [182] 33.8% [194] 5046(0.2%) 0(0.0%) expression->type ...evelop/src/type-check.rkt:45:0 for-loop [209] 100.0% ------------------------------------------------------------------------------------------- simplify [174] 13.9% f176 [44] 86.1% [195] 4746(0.2%) 0(0.0%) loop ...es/herbie/develop/src/core/reduce.rkt:18:2 f176 [44] 64.4% expression->type [194] 35.6% ------------------------------------------------------------------------------------------- *simplify-rules* [185] 7.7% *rules* [106] 14.0% merge-egraph-nodes! [63] 78.2% [196] 4716(0.2%) 3660(0.1%) for-loop ...ies/herbie/develop/src/common.rkt:94:9 update-en-expr [201] 14.7% ormap [216] 7.7% ------------------------------------------------------------------------------------------- argmins [51] 7.7% f176 [44] 22.8% loop [181] 69.4% [197] 4508(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [130] 77.2% f176 [44] 22.8% ------------------------------------------------------------------------------------------- bigfloat-hash [178] 100.0% [198] 1056(0.0%) 0(0.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [214] 66.1% ??? [206] 33.9% ------------------------------------------------------------------------------------------- for-loop [52] 29.7% iterate-egraph!13 [3] 34.7% simplify [174] 35.5% [199] 1036(0.0%) 360(0.0%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [215] 65.3% ------------------------------------------------------------------------------------------- get-final-combination [20] 0.0% make-exacts* [138] 0.0% parse-loop12 [190] 0.5% map [142] 1.1% match-e [54] 1.2% ??? [175] 1.5% option-on-expr [55] 1.5% for-loop [64] 1.9% loop! [93] 7.7% f176 [44] 9.4% loop [200] 74.8% [200] 710542(25.7%) 42304(1.5%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [200] 74.8% option-on-expr [55] 9.4% loop! [93] 7.2% errors [130] 1.5% hash-ref! [160] 1.5% ??? [144] 1.1% foldl [222] 0.6% parse-loop12 [190] 0.4% for-loop [219] 0.3% f176 [44] 0.1% ??? [152] 0.0% extract-alt [38] 0.0% set-precompute! [223] 0.0% ------------------------------------------------------------------------------------------- for-loop [95] 0.3% for-loop [196] 0.6% update-leader! [77] 2.7% for-loop [81] 15.0% for-loop [132] 23.0% loop! [93] 58.3% [201] 111086(4.0%) 111086(4.0%) update-en-expr ...evelop/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------------------------- ??? [187] 100.0% [202] 93308(3.4%) 6500(0.2%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [217] 93.0% ------------------------------------------------------------------------------------------- ??? [186] 100.0% [203] 70548(2.5%) 6728(0.2%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [227] 85.2% ??? [221] 5.2% ------------------------------------------------------------------------------------------- debug7 [31] 1.1% f176 [44] 1.2% ulp-difference [139] 2.3% ??? [161] 28.7% ->flonum [158] 30.2% ??? [188] 36.6% [204] 29984(1.1%) 7746(0.3%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [230] 58.1% ??? [227] 16.1% ------------------------------------------------------------------------------------------- ulp-difference [139] 3.1% ??? [188] 31.3% ??? [161] 31.6% ->flonum [158] 33.9% [205] 22844(0.8%) 15708(0.6%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [220] 31.2% ------------------------------------------------------------------------------------------- sig+exp->bigfloat [198] 1.9% ??? [183] 3.6% bflog [192] 15.0% real->bigfloat [177] 15.4% bfadd [189] 64.1% [206] 19290(0.7%) 19290(0.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------------------- parse-loop12 [190] 100.0% [207] 8308(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:490:59 hash-ref! [160] 100.0% ------------------------------------------------------------------------------------------- ??? [186] 100.0% [208] 6260(0.2%) 2418(0.1%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [218] 61.4% ------------------------------------------------------------------------------------------- expression->type [194] 100.0% [209] 5046(0.2%) 0(0.0%) for-loop ...herbie/develop/src/type-check.rkt:52:5 f176 [44] 86.3% expression->type [194] 13.7% ------------------------------------------------------------------------------------------- ??? [188] 100.0% [210] 3932(0.1%) 3932(0.1%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ------------------------------------------------------------------------------------------- eval-prog [143] 23.6% parse-loop12 [190] 24.5% [211] 2838(0.1%) 2452(0.1%) parse-app .../collects/racket/private/kw.rkt:951:2 loop [224] 13.6% ------------------------------------------------------------------------------------------- bigfloat-hash [178] 47.8% bfcanonicalize [191] 52.2% [212] 1438(0.1%) 750(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [225] 47.8% ------------------------------------------------------------------------------------------- map [142] 49.8% parse-loop12 [190] 50.2% [213] 1318(0.0%) 598(0.0%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [160] 27.6% ??? [226] 27.0% ------------------------------------------------------------------------------------------- sig+exp->bigfloat [198] 100.0% [214] 698(0.0%) 698(0.0%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ------------------------------------------------------------------------------------------- debug-print [199] 100.0% [215] 676(0.0%) 676(0.0%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ------------------------------------------------------------------------------------------- for-loop [196] 100.0% [216] 364(0.0%) 364(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 ------------------------------------------------------------------------------------------- ??? [202] 100.0% [217] 86808(3.1%) 25786(0.9%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [229] 42.0% get/build-late-neg-projection [228] 28.3% ------------------------------------------------------------------------------------------- for-loop [208] 5.7% ??? [186] 15.2% ...velop/src/common.rkt:47:2 [171] 79.1% [218] 33750(1.2%) 11408(0.4%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [186] 62.8% ??? [227] 9.6% ??? [264] 5.1% ------------------------------------------------------------------------------------------- loop [200] 100.0% [219] 16814(0.6%) 3338(0.1%) for-loop ...ie/develop/src/core/simplify.rkt:173:2 setfindf [232] 50.8% eval-const-expr [234] 15.6% compose [236] 8.0% ??? [152] 3.9% ------------------------------------------------------------------------------------------- one-iter [18] 3.2% match-e [54] 6.1% for-loop [64] 24.9% return/no-unsupplied [205] 65.8% [220] 10848(0.4%) 10848(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------------------------- ??? [151] 13.8% for-loop [172] 16.6% ??? [186] 21.4% ??? [203] 48.2% [221] 7674(0.3%) 3910(0.1%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [233] 49.0% ------------------------------------------------------------------------------------------- for-loop [64] 18.0% loop [200] 82.0% [222] 7312(0.3%) 5668(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [235] 22.5% ------------------------------------------------------------------------------------------- loop [200] 100.0% [223] 986(0.0%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:172:0 make-sequence [231] 100.0% ------------------------------------------------------------------------------------------- parse-lambda [149] 46.5% parse-app [211] 53.5% [224] 722(0.0%) 722(0.0%) loop .../collects/racket/private/stxcase.rkt:112:7 ------------------------------------------------------------------------------------------- bigfloat->sig+exp [212] 100.0% [225] 688(0.0%) 688(0.0%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ------------------------------------------------------------------------------------------- simplify* [213] 100.0% [226] 356(0.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [230] 100.0% ------------------------------------------------------------------------------------------- ??? [186] 0.9% ??? [237] 2.0% ??? [204] 5.4% ??? [218] 7.3% ??? [152] 16.2% ??? [203] 67.8% [227] 88624(3.2%) 66710(2.4%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [237] 15.8% contract? [240] 5.7% dict? [241] 3.2% ------------------------------------------------------------------------------------------- ??? [239] 14.5% ??? [159] 23.9% for-loop [217] 60.5% [228] 40562(1.5%) 6440(0.2%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [238] 66.9% ??? [239] 18.8% ------------------------------------------------------------------------------------------- for-loop [217] 100.0% [229] 36492(1.3%) 36492(1.3%) add-list-context ...ontract/private/list.rkt:752:0 ------------------------------------------------------------------------------------------- ??? [226] 2.0% ??? [204] 98.0% [230] 17764(0.6%) 17052(0.6%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [245] 4.0% ------------------------------------------------------------------------------------------- set-precompute! [223] 10.9% for-loop [36] 14.6% merge-egraph-nodes! [63] 23.2% update-leader! [77] 25.1% reduce-to-single! [59] 26.2% [231] 9052(0.3%) 7334(0.3%) make-sequence ...ects/racket/private/for.rkt:509:2 ??? [243] 19.0% ------------------------------------------------------------------------------------------- for-loop [219] 100.0% [232] 8542(0.3%) 6914(0.2%) setfindf ...es/herbie/develop/src/common.rkt:179:0 for-loop [244] 19.1% ------------------------------------------------------------------------------------------- ??? [221] 100.0% [233] 3764(0.1%) 1736(0.1%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [242] 53.9% ------------------------------------------------------------------------------------------- for-loop [219] 100.0% [234] 2624(0.1%) 666(0.0%) eval-const-expr .../develop/src/programs.rkt:166:0 f176 [44] 61.9% ??? [246] 12.7% ------------------------------------------------------------------------------------------- foldl [222] 100.0% [235] 1644(0.1%) 1644(0.1%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------------------------- for-loop [219] 100.0% [236] 1350(0.0%) 1350(0.0%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------------------------- matcher [119] 0.1% free-variables [107] 0.1% split-table [35] 0.1% for-loop [117] 0.2% f176 [44] 1.2% ??? [227] 4.9% substitute-e [65] 6.4% finalize-iter! [46] 19.7% variable? [5] 20.5% match-e [54] 22.0% get-sigs [121] 23.7% [237] 278268(10.1%) 107598(3.9%) ??? ...contract/private/arrow-val-first.rkt:357:18 hash-has-key? [247] 39.9% for-loop [248] 19.4% ??? [251] 0.9% ??? [227] 0.6% split-atab [253] 0.1% ------------------------------------------------------------------------------------------- get/build-late-neg-projection [228] 100.0% [238] 31750(1.1%) 8614(0.3%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [249] 72.9% ------------------------------------------------------------------------------------------- get/build-late-neg-projection [228] 100.0% [239] 13618(0.5%) 1714(0.1%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [228] 87.4% ------------------------------------------------------------------------------------------- ??? [227] 100.0% [240] 5046(0.2%) 4682(0.2%) contract? ...acket/contract/private/guts.rkt:109:0 coerce-contract/f4 [252] 7.2% ------------------------------------------------------------------------------------------- ->flonum [158] 36.8% ??? [227] 63.2% [241] 4538(0.2%) 4538(0.2%) dict? ...ollects/racket/private/generic.rkt:146:11 ------------------------------------------------------------------------------------------- ??? [233] 100.0% [242] 2028(0.1%) 2028(0.1%) ??? ...ects/racket/contract/private/list.rkt:141:5 ------------------------------------------------------------------------------------------- make-sequence [231] 100.0% [243] 1718(0.1%) 0(0.0%) ??? ...acket/collects/racket/private/for.rkt:429:7 custom-in-set [250] 100.0% ------------------------------------------------------------------------------------------- setfindf [232] 100.0% [244] 1628(0.1%) 1628(0.1%) for-loop ...es/herbie/develop/src/common.rkt:180:2 ------------------------------------------------------------------------------------------- ??? [230] 100.0% [245] 712(0.0%) 712(0.0%) ??? ...ects/racket/contract/private/prop.rkt:256:4 ------------------------------------------------------------------------------------------- eval-const-expr [234] 48.1% for-loop [133] 51.9% [246] 694(0.0%) 694(0.0%) ??? ...tract/private/arrow-higher-order.rkt:145:21 ------------------------------------------------------------------------------------------- mk-enode! [75] 8.9% ??? [237] 91.1% [247] 122242(4.4%) 33272(1.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [254] 67.4% ??? [257] 5.4% ------------------------------------------------------------------------------------------- ??? [237] 100.0% [248] 54466(2.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [255] 100.0% ------------------------------------------------------------------------------------------- contract-struct-name [256] 18.4% ??? [238] 81.6% [249] 23136(0.8%) 15868(0.6%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [256] 47.0% ------------------------------------------------------------------------------------------- ??? [243] 31.1% match-e [54] 68.9% [250] 5518(0.2%) 5518(0.2%) custom-in-set ...acket/private/set-types.rkt:577:0 ------------------------------------------------------------------------------------------- ??? [237] 100.0% [251] 2446(0.1%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [152] 100.0% ------------------------------------------------------------------------------------------- contract? [240] 100.0% [252] 364(0.0%) 364(0.0%) coerce-contract/f4 ...tract/private/guts.rkt:299:0 ------------------------------------------------------------------------------------------- ??? [237] 100.0% [253] 360(0.0%) 0(0.0%) split-atab .../develop/src/core/alt-table.rkt:74:0 for-loop [258] 100.0% ------------------------------------------------------------------------------------------- hash-has-key? [247] 34.9% ->flonum [158] 65.1% [254] 236238(8.5%) 81376(2.9%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [259] 52.3% ??? [263] 10.0% ??? [186] 1.3% arrow-higher-order:lnp [265] 1.1% successfully-got-the-right-kind-of-function [266] 0.9% ------------------------------------------------------------------------------------------- for-loop [248] 98.8% [255] 55146(2.0%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [260] 93.1% override-at-pnts [261] 6.9% ------------------------------------------------------------------------------------------- build-compound-type-name [249] 100.0% [256] 14480(0.5%) 7268(0.3%) contract-struct-name ...ract/private/prop.rkt:89:0 build-compound-type-name [249] 54.3% ------------------------------------------------------------------------------------------- ->flonum [158] 17.0% hash-has-key? [247] 83.0% [257] 7942(0.3%) 7942(0.3%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ------------------------------------------------------------------------------------------- split-atab [253] 100.0% [258] 360(0.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:75:2 for-loop [262] 100.0% ------------------------------------------------------------------------------------------- ??? [254] 100.0% [259] 123598(4.5%) 72072(2.6%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [263] 24.3% for-loop [172] 14.7% ??? [264] 1.9% successfully-got-the-right-kind-of-function [266] 0.5% arrow-higher-order:lnp [265] 0.3% ------------------------------------------------------------------------------------------- atab-add-altn [255] 100.0% [260] 51366(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [130] 97.3% for-loop [267] 2.7% ------------------------------------------------------------------------------------------- atab-add-altn [255] 100.0% [261] 3780(0.1%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [130] 90.6% for-loop [269] 9.4% ------------------------------------------------------------------------------------------- for-loop [258] 100.0% [262] 360(0.0%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:76:45 ??? [268] 100.0% ------------------------------------------------------------------------------------------- ??? [159] 0.7% ??? [254] 43.7% for-loop [259] 55.7% [263] 53964(2.0%) 24774(0.9%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [273] 54.1% ------------------------------------------------------------------------------------------- ??? [218] 28.1% ??? [159] 34.1% for-loop [259] 37.8% [264] 6164(0.2%) 1316(0.0%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [270] 78.7% ------------------------------------------------------------------------------------------- ??? [152] 8.1% for-loop [259] 8.3% maybe-cons-kwd [167] 17.0% ??? [254] 66.5% [265] 3978(0.1%) 1008(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [271] 74.7% ------------------------------------------------------------------------------------------- maybe-cons-kwd [167] 12.0% for-loop [259] 19.8% ??? [254] 68.1% [266] 3064(0.1%) 1696(0.1%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [272] 44.6% ------------------------------------------------------------------------------------------- best-and-tied-at-points [260] 100.0% [267] 1386(0.1%) 1386(0.1%) for-loop .../develop/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------------------------- for-loop [262] 100.0% [268] 360(0.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:284:4 ??? [105] 100.0% ------------------------------------------------------------------------------------------- override-at-pnts [261] 100.0% [269] 354(0.0%) 354(0.0%) for-loop .../develop/src/core/alt-table.rkt:146:43 ------------------------------------------------------------------------------------------- ??? [264] 100.0% [270] 4848(0.2%) 2384(0.1%) check-hash/c ...ket/contract/private/hash.rkt:83:0 flat-contract? [275] 50.8% ------------------------------------------------------------------------------------------- arrow-higher-order:lnp [265] 100.0% [271] 2970(0.1%) 2310(0.1%) ??? ...et/contract/private/arity-checking.rkt:19:2 procedure-arity [274] 22.2% ------------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [266]100.0% [272] 1368(0.0%) 0(0.0%) arity-checking-wrapper ...w-higher-order.rkt:402:0 matches-arity-exactly? [276] 74.4% make-keyword-procedure [273] 25.6% ------------------------------------------------------------------------------------------- arity-checking-wrapper [272] 1.2% ??? [263] 98.8% [273] 29540(1.1%) 29540(1.1%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ------------------------------------------------------------------------------------------- ??? [271] 13.8% curry* [88] 86.2% [274] 4776(0.2%) 4776(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------------------------- check-hash/c [270] 100.0% [275] 2464(0.1%) 2464(0.1%) flat-contract? .../contract/private/guts.rkt:111:0 ------------------------------------------------------------------------------------------- arity-checking-wrapper [272] 100.0% [276] 1018(0.0%) 1018(0.0%) matches-arity-exactly? ...te/arrow-common.rkt:70:0 -------------------------------------------------------------------------------------------