Profiling results ----------------- Total cpu time observed: 671604ms (out of 681252ms) Number of samples taken: 1876 (once every 358ms) (Hiding functions with self<1.0% and local<2.0%: 12 of 289 hidden) ========================================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================= ??? [68] 100.0% [1] 553438(82.4%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [18] 100.0% ----------------------------------------------------------------------------------------- ??? [68] 100.0% [2] 527366(78.5%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [19] 84.5% get-final-combination [21] 15.1% setup-alt-simplified [32] 0.2% loop [77] 0.1% ??? [126] 0.1% ----------------------------------------------------------------------------------------- ??? [231] 100.0% [3] 428370(63.8%) 0(0.0%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [20] 97.8% map-enodes [24] 2.1% debug-print [119] 0.2% ----------------------------------------------------------------------------------------- ??? [231] 100.0% [4] 53668(8.0%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:215:2 pass [22] 100.0% ----------------------------------------------------------------------------------------- ??? [230] 100.0% [5] 18342(2.7%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [23] 71.2% f45 [88] 13.7% for-loop [28] 11.3% taylor-quotient [31] 2.0% taylor [105] 1.8% ----------------------------------------------------------------------------------------- f45 [88] 4.9% substitute-e [70] 24.6% match-e [62] 70.5% [6] 14136(2.1%) 380(0.1%) variable? ...e/develop/src/syntax/syntax.rkt:567:0 ??? [126] 97.3% ----------------------------------------------------------------------------------------- loop [180] 100.0% [7] 8168(1.2%) 1382(0.2%) for-loop ...ie/develop/src/core/simplify.rkt:173:2 setfindf [26] 78.7% eval-const-expr [35] 4.4% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [8] 7062(1.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [25] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [9] 4968(0.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [27] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [10] 4600(0.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:338:33 hash-ref! [232] 76.7% for-loop [30] 23.3% ----------------------------------------------------------------------------------------- copying-mergesort [225] 100.0% [11] 4120(0.6%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [172] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [12] 2122(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [29] 83.0% partition-list [34] 17.0% ----------------------------------------------------------------------------------------- f45 [88] 100.0% [13] 718(0.1%) 0(0.0%) loop ...es/herbie/develop/src/core/reduce.rkt:18:2 expression->type [107] 100.0% ----------------------------------------------------------------------------------------- f45 [88] 100.0% [14] 706(0.1%) 0(0.0%) taylor-log ...ie/develop/src/core/taylor.rkt:476:0 simplify [42] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [15] 692(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 for-loop [33] 100.0% ----------------------------------------------------------------------------------------- map [117] 100.0% [16] 356(0.1%) 0(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:61:5 for-loop [36] 100.0% ----------------------------------------------------------------------------------------- f45 [88] 100.0% [17] 332(0.0%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:386:0 simplify [42] 100.0% ----------------------------------------------------------------------------------------- profile-thunk16 [1] 99.5% [18] 556298(82.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [68] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [19] 445402(66.3%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [37] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [20] 418768(62.4%) 2762(0.4%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 loop [38] 77.0% for-loop [40] 18.3% apply-match [50] 4.0% loop [162] 0.1% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [21] 79840(11.9%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [39] 99.6% ??? [230] 0.4% ----------------------------------------------------------------------------------------- loop [4] 100.0% [22] 53668(8.0%) 358(0.1%) pass ...herbie/develop/src/core/simplify.rkt:205:2 for-loop [41] 99.3% ----------------------------------------------------------------------------------------- approximate9 [5] 100.0% [23] 13056(1.9%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [24] 8886(1.3%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:139:0 loop [180] 100.0% ----------------------------------------------------------------------------------------- ??? [8] 100.0% [25] 7062(1.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- for-loop [7] 100.0% [26] 6426(1.0%) 5390(0.8%) setfindf ...es/herbie/develop/src/common.rkt:179:0 for-loop [46] 10.2% ??? [126] 5.9% ----------------------------------------------------------------------------------------- ??? [9] 100.0% [27] 4968(0.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 hash-ref! [232] 94.6% ??? [45] 5.4% ----------------------------------------------------------------------------------------- approximate9 [5] 100.0% [28] 2072(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:29:18 f45 [88] 100.0% ----------------------------------------------------------------------------------------- ??? [12] 100.0% [29] 1762(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 for-loop [43] 100.0% ----------------------------------------------------------------------------------------- ??? [10] 100.0% [30] 1434(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:341:46 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- approximate9 [5] 33.6% f45 [88] 66.4% [31] 1064(0.2%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:328:0 simplify [42] 66.4% first-nonzero-exp [47] 33.6% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [32] 1060(0.2%) 0(0.0%) setup-alt-simplified .../develop/src/glue.rkt:49:0 simplify-alt [44] 100.0% ----------------------------------------------------------------------------------------- ??? [15] 100.0% [33] 692(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:324:46 simplify [42] 100.0% ----------------------------------------------------------------------------------------- ??? [12] 100.0% [34] 360(0.1%) 360(0.1%) partition-list ...evelop/src/core/taylor.rkt:376:0 ----------------------------------------------------------------------------------------- for-loop [7] 100.0% [35] 360(0.1%) 0(0.0%) eval-const-expr .../develop/src/programs.rkt:166:0 f45 [88] 100.0% ----------------------------------------------------------------------------------------- ??? [16] 100.0% [36] 356(0.1%) 0(0.0%) for-loop ...erbie/develop/src/core/reduce.rkt:62:7 pattern-match [48] 100.0% ----------------------------------------------------------------------------------------- for-loop [19] 100.0% [37] 445402(66.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [49] 88.2% finalize-iter! [52] 6.5% gen-series! [53] 4.2% localize-error [56] 0.5% choose-best-alt! [57] 0.4% gen-rewrites! [58] 0.2% ----------------------------------------------------------------------------------------- one-iter [20] 100.0% [38] 322302(48.0%) 354(0.1%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [50] 99.9% ----------------------------------------------------------------------------------------- get-final-combination [21] 100.0% [39] 79482(11.8%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f45 [88] 99.6% ??? [126] 0.4% ----------------------------------------------------------------------------------------- for-loop [40] 49.3% one-iter [20] 50.7% [40] 76504(11.4%) 13350(2.0%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [40] 49.3% match-e [62] 40.8% ??? [93] 0.5% ----------------------------------------------------------------------------------------- pass [22] 100.0% [41] 53310(7.9%) 670(0.1%) for-loop ...e/develop/src/core/simplify.rkt:208:29 argmin [51] 66.6% loop [54] 28.2% for-loop [55] 4.0% ----------------------------------------------------------------------------------------- taylor-exp [17] 2.2% for-loop [33] 4.7% loop [180] 4.7% taylor-invert [132] 4.7% taylor-quotient [31] 4.8% taylor-log [14] 4.8% hash-ref! [232] 74.2% [42] 14840(2.2%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f45 [88] 78.4% parse-loop12 [241] 4.9% make-multiplication-node [266] 4.8% simplify* [131] 4.8% debug7 [120] 4.7% debug-print [119] 2.3% ----------------------------------------------------------------------------------------- for-loop [29] 100.0% [43] 1762(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:398:39 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- setup-alt-simplified [32] 100.0% [44] 1060(0.2%) 0(0.0%) simplify-alt ...s/herbie/develop/src/glue.rkt:76:0 ??? [231] 100.0% ----------------------------------------------------------------------------------------- for-loop [27] 100.0% [45] 718(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:288:19 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- setfindf [26] 100.0% [46] 656(0.1%) 656(0.1%) for-loop ...es/herbie/develop/src/common.rkt:180:2 ----------------------------------------------------------------------------------------- taylor-quotient [31] 100.0% [47] 358(0.1%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:260:0 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- for-loop [59] 50.0% for-loop [36] 50.0% [48] 356(0.1%) 0(0.0%) pattern-match ...develop/src/core/matcher.rkt:48:0 for-loop [59] 50.0% ??? [126] 50.0% ----------------------------------------------------------------------------------------- run-iter! [37] 100.0% [49] 392966(58.5%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [60] 100.0% ----------------------------------------------------------------------------------------- one-iter [20] 5.0% loop [38] 95.0% [50] 338794(50.4%) 1042(0.2%) apply-match ...develop/src/core/simplify.rkt:130:2 for-loop [61] 91.9% match-e [62] 6.7% update-leader! [78] 0.6% reduce-to-single! [66] 0.5% ----------------------------------------------------------------------------------------- for-loop [41] 100.0% [51] 35496(5.3%) 360(0.1%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [63] 82.3% expression-cost [65] 16.7% ----------------------------------------------------------------------------------------- run-iter! [37] 100.0% [52] 28816(4.3%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [126] 100.0% ----------------------------------------------------------------------------------------- run-iter! [37] 100.0% [53] 18680(2.8%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [64] 100.0% ----------------------------------------------------------------------------------------- for-loop [41] 100.0% [54] 15014(2.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [63] 86.0% expression-cost [65] 14.0% ----------------------------------------------------------------------------------------- for-loop [41] 100.0% [55] 2130(0.3%) 2130(0.3%) for-loop ...e/develop/src/core/simplify.rkt:195:13 ----------------------------------------------------------------------------------------- run-iter! [37] 100.0% [56] 2120(0.3%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- run-iter! [37] 100.0% [57] 1776(0.3%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:115:0 ??? [126] 100.0% ----------------------------------------------------------------------------------------- run-iter! [37] 100.0% [58] 1044(0.2%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [67] 100.0% ----------------------------------------------------------------------------------------- pattern-match [48] 100.0% [59] 356(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/matcher.rkt:66:9 pattern-match [48] 100.0% ----------------------------------------------------------------------------------------- simplify! [49] 100.0% [60] 392966(58.5%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [68] 100.0% ----------------------------------------------------------------------------------------- apply-match [50] 100.0% [61] 311228(46.3%) 1406(0.2%) for-loop ...e/develop/src/core/simplify.rkt:145:10 merge-egraph-nodes! [69] 29.4% loop! [185] 25.0% mk-enode! [76] 23.2% substitute-e [70] 18.9% list-member? [242] 3.1% ----------------------------------------------------------------------------------------- apply-match [50] 14.4% for-loop [79] 28.0% for-loop [40] 57.6% [62] 85210(12.7%) 28904(4.3%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [71] 46.0% for-loop [79] 10.1% ??? [126] 6.3% variable? [6] 4.7% list-cartesian-product [83] 2.1% loop [180] 1.6% curry* [85] 0.4% ----------------------------------------------------------------------------------------- loop [54] 30.7% argmin [51] 69.3% [63] 42126(6.3%) 686(0.1%) for-loop .../herbie/develop/src/programs.rkt:199:2 ??? [231] 69.3% ...velop/src/common.rkt:47:2 [129] 24.9% ??? [127] 4.1% ----------------------------------------------------------------------------------------- gen-series! [53] 100.0% [64] 18680(2.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [72] 100.0% ----------------------------------------------------------------------------------------- loop [54] 26.2% argmin [51] 73.8% [65] 8024(1.2%) 358(0.1%) expression-cost .../develop/src/programs.rkt:198:0 compile [73] 95.5% ----------------------------------------------------------------------------------------- apply-match [50] 100.0% [66] 1700(0.3%) 1014(0.2%) reduce-to-single! ...lop/src/core/egraph.rkt:324:0 for-loop [75] 40.4% ----------------------------------------------------------------------------------------- gen-rewrites! [58] 100.0% [67] 1044(0.2%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [74] 100.0% ----------------------------------------------------------------------------------------- for-loop [60] 20.2% run [18] 33.1% [68] 647264(96.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 ??? [231] 33.2% profile-thunk16 [1] 32.6% run-improve50 [2] 31.2% loop [77] 3.0% ----------------------------------------------------------------------------------------- for-loop [82] 3.9% merge-egraph-nodes! [69] 5.4% for-loop [61] 90.7% [69] 91586(13.6%) 1090(0.2%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [78] 54.1% loop! [185] 15.1% for-loop [81] 13.7% for-loop [82] 6.4% merge-egraph-nodes! [69] 5.4% enode-merge! [84] 3.0% make-sequence [207] 0.7% for-loop [110] 0.4% ----------------------------------------------------------------------------------------- substitute-e [70] 8.7% for-loop [61] 91.3% [70] 58928(8.8%) 2150(0.3%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [76] 82.6% substitute-e [70] 8.7% ??? [126] 2.9% variable? [6] 2.2% ----------------------------------------------------------------------------------------- match-e [62] 100.0% [71] 50702(7.5%) 17282(2.6%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [79] 56.7% list-cartesian-product [83] 8.1% loop [180] 3.1% foldl [193] 1.7% curry* [85] 1.0% filter [256] 0.7% ----------------------------------------------------------------------------------------- for-loop [64] 100.0% [72] 18680(2.8%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [80] 98.2% expression->type [107] 1.8% ----------------------------------------------------------------------------------------- expression-cost [65] 100.0% [73] 7666(1.1%) 706(0.1%) compile ...s/herbie/develop/src/programs.rkt:175:0 hash-ref! [232] 90.8% ----------------------------------------------------------------------------------------- for-loop [67] 100.0% [74] 1044(0.2%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [86] 100.0% ----------------------------------------------------------------------------------------- reduce-to-single! [66] 100.0% [75] 686(0.1%) 686(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------------------------- mk-egraph [244] 0.3% expr->enode [257] 2.5% substitute-e [70] 39.2% for-loop [61] 58.0% [76] 124296(18.5%) 10574(1.6%) mk-enode! ...bie/develop/src/core/egraph.rkt:101:0 new-enode [87] 89.8% hash-has-key? [137] 1.4% mutable-set [99] 0.3% ----------------------------------------------------------------------------------------- run-improve50 [2] 1.1% pred [273] 44.0% ??? [68] 54.9% [77] 65752(9.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 loop [90] 42.9% loop [103] 25.5% make-exacts* [104] 25.1% filter-points [91] 4.3% for-loop [95] 2.1% ----------------------------------------------------------------------------------------- apply-match [50] 3.8% merge-egraph-nodes! [69] 96.2% [78] 54898(8.2%) 3822(0.6%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [89] 91.2% mutable-set [99] 0.6% hash-ref! [232] 0.6% ----------------------------------------------------------------------------------------- match-e [62] 32.3% for-loop [71] 67.7% [79] 45162(6.7%) 1762(0.3%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [62] 94.1% ??? [93] 2.4% ----------------------------------------------------------------------------------------- taylor-alt [72] 100.0% [80] 18342(2.7%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [230] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [81] 12690(1.9%) 10900(1.6%) for-loop ...rbie/develop/src/core/egraph.rkt:232:6 update-en-expr [201] 14.1% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [82] 9612(1.4%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:200:10 merge-egraph-nodes! [69] 74.4% loop! [185] 25.6% ----------------------------------------------------------------------------------------- match-e [62] 23.4% list-cartesian-product [83] 29.3% for-loop [71] 47.3% [83] 6758(1.0%) 4650(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [83] 29.3% for-loop [92] 20.6% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [84] 3100(0.5%) 352(0.1%) enode-merge! ...e/develop/src/core/enode.rkt:129:0 adopt-enode! [94] 54.6% custom-set-intersect! [97] 34.0% ----------------------------------------------------------------------------------------- match-e [62] 33.7% for-loop [71] 66.3% [85] 1068(0.2%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [96] 100.0% ----------------------------------------------------------------------------------------- ??? [74] 20.9% matcher [109] 79.1% [86] 1044(0.2%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [98] 79.1% f45 [88] 11.3% *rules* [100] 9.6% ----------------------------------------------------------------------------------------- mk-enode! [76] 100.0% [87] 111588(16.6%) 362(0.1%) new-enode ...erbie/develop/src/core/enode.rkt:97:0 type-of-enode-expr [101] 98.4% set [200] 1.2% ----------------------------------------------------------------------------------------- ??? [192] 0.1% for-loop [260] 0.1% for-loop [145] 0.2% simplify-node [130] 0.3% rewriter [86] 0.4% eval-const-expr [35] 0.4% for-loop [28] 0.4% hash-ref! [232] 0.4% parse-loop12 [241] 0.5% mterm->expr [277] 0.5% loop [180] 0.8% for-loop [121] 1.0% approximate9 [5] 1.0% eval-prog [165] 2.3% map [117] 4.0% simplify [42] 4.6% f45 [88] 6.1% split-table [39] 77.2% [88] 97472(14.5%) 1050(0.2%) f45 ...t/collects/racket/match/compiler.rkt:507:40 loop [180] 69.2% map [117] 8.8% option-on-expr [186] 7.8% f45 [88] 6.1% ??? [230] 2.1% taylor [105] 1.0% ??? [127] 0.7% expression->type [107] 0.6% ??? [231] 0.6% parse-app [258] 0.6% append-map [141] 0.5% loop [13] 0.3% ...velop/src/common.rkt:47:2 [129] 0.3% exprs-to-branch-on [114] 0.2% taylor-quotient [31] 0.2% taylor-log [14] 0.1% gather-multiplicative-terms [115] 0.1% variable? [6] 0.1% ??? [126] 0.1% taylor-exp [17] 0.1% composed [259] 0.1% ----------------------------------------------------------------------------------------- update-leader! [78] 100.0% [89] 50044(7.5%) 1402(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [102] 97.2% ----------------------------------------------------------------------------------------- loop [77] 100.0% [90] 28230(4.2%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 eval-prog [165] 45.7% loop [103] 42.2% make-exacts* [104] 12.1% ----------------------------------------------------------------------------------------- loop [77] 100.0% [91] 2860(0.4%) 0(0.0%) filter-points ...rbie/develop/src/points.rkt:159:0 for-loop [106] 100.0% ----------------------------------------------------------------------------------------- list-cartesian-product [83] 100.0% [92] 2108(0.3%) 2108(0.3%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------------------------- for-loop [40] 39.3% for-loop [79] 60.7% [93] 1766(0.3%) 1078(0.2%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [111] 39.0% ----------------------------------------------------------------------------------------- enode-merge! [84] 100.0% [94] 1694(0.3%) 326(0.0%) adopt-enode! ...e/develop/src/core/enode.rkt:105:0 custom-set-union [197] 80.8% ----------------------------------------------------------------------------------------- loop [77] 100.0% [95] 1398(0.2%) 320(0.0%) for-loop ...s/herbie/develop/src/points.rkt:200:24 for-loop [108] 77.1% ----------------------------------------------------------------------------------------- curry* [85] 100.0% [96] 1068(0.2%) 1068(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------------------------- enode-merge! [84] 100.0% [97] 1054(0.2%) 694(0.1%) custom-set-intersect! ...ivate/set-types.rkt:269:0 for-loop [113] 34.2% ----------------------------------------------------------------------------------------- rewriter [86] 100.0% [98] 1044(0.2%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [109] 100.0% ----------------------------------------------------------------------------------------- update-leader! [78] 49.7% mk-enode! [76] 50.3% [99] 716(0.1%) 356(0.1%) mutable-set .../racket/private/set-types.rkt:999:0 for-loop [112] 50.3% ----------------------------------------------------------------------------------------- rewriter [86] 100.0% [100] 690(0.1%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:484:0 for-loop [110] 100.0% ----------------------------------------------------------------------------------------- new-enode [87] 100.0% [101] 109846(16.4%) 2350(0.3%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 get-sigs [116] 97.6% parse-loop12 [241] 0.3% ----------------------------------------------------------------------------------------- for-loop [89] 100.0% [102] 48642(7.2%) 356(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [118] 99.3% ----------------------------------------------------------------------------------------- loop [90] 41.6% loop [77] 58.4% [103] 28670(4.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [117] 100.0% ----------------------------------------------------------------------------------------- loop [90] 17.1% loop [77] 82.9% [104] 19924(3.0%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 map [117] 51.7% loop [180] 46.1% eval-prog [165] 2.2% ----------------------------------------------------------------------------------------- approximate9 [5] 8.7% map [117] 9.2% hash-ref! [232] 35.8% f45 [88] 46.3% [105] 3840(0.6%) 358(0.1%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 debug-print [119] 35.3% debug7 [120] 28.6% loop [180] 18.2% ??? [126] 8.6% ----------------------------------------------------------------------------------------- filter-points [91] 100.0% [106] 2860(0.4%) 2860(0.4%) for-loop ...es/herbie/develop/src/points.rkt:162:4 ----------------------------------------------------------------------------------------- taylor-alt [72] 5.3% for-loop [121] 17.3% f45 [88] 18.5% mterm->expr [277] 25.3% loop [13] 33.7% [107] 2132(0.3%) 0(0.0%) expression->type ...evelop/src/type-check.rkt:45:0 for-loop [121] 71.4% ??? [126] 28.6% ----------------------------------------------------------------------------------------- for-loop [95] 100.0% [108] 1078(0.2%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:201:26 ??? [230] 100.0% ----------------------------------------------------------------------------------------- for-loop [122] 10.9% matcher [109] 39.1% for-loop [98] 50.0% [109] 1044(0.2%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:167:2 rewriter [86] 50.0% matcher [109] 39.1% for-loop [122] 10.9% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [69] 33.8% *rules* [100] 66.2% [110] 1042(0.2%) 352(0.1%) for-loop ...ies/herbie/develop/src/common.rkt:94:9 ormap [125] 34.2% curried [195] 32.1% ----------------------------------------------------------------------------------------- ??? [93] 100.0% [111] 688(0.1%) 356(0.1%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ??? [126] 48.3% ----------------------------------------------------------------------------------------- mutable-set [99] 100.0% [112] 360(0.1%) 360(0.1%) for-loop ...cts/racket/private/set-types.rkt:943:2 ----------------------------------------------------------------------------------------- custom-set-intersect! [97] 100.0% [113] 360(0.1%) 360(0.1%) for-loop ...cts/racket/private/set-types.rkt:272:4 ----------------------------------------------------------------------------------------- f45 [88] 100.0% [114] 358(0.1%) 0(0.0%) exprs-to-branch-on ...op/src/core/regimes.rkt:55:0 for-loop [123] 100.0% ----------------------------------------------------------------------------------------- f45 [88] 100.0% [115] 356(0.1%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:116:0 compose [124] 100.0% ----------------------------------------------------------------------------------------- type-of-enode-expr [101] 100.0% [116] 107164(16.0%) 2142(0.3%) get-sigs .../herbie/develop/src/type-check.rkt:5:0 ??? [127] 45.5% ??? [231] 25.9% ??? [126] 14.5% ...velop/src/common.rkt:47:2 [129] 12.1% ----------------------------------------------------------------------------------------- parse-loop12 [241] 1.5% make-exacts* [104] 20.0% f45 [88] 23.0% loop [103] 55.6% [117] 51610(7.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [180] 62.2% ??? [172] 12.7% f45 [88] 10.3% parse-loop12 [241] 5.3% simplify-node [130] 2.9% simplify* [131] 1.7% make-multiplication-node [266] 1.1% ??? [192] 1.0% taylor [105] 0.7% taylor-invert [132] 0.7% ??? [230] 0.6% loop [250] 0.6% ??? [16] 0.2% ----------------------------------------------------------------------------------------- for-loop [102] 100.0% [118] 48286(7.2%) 748(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [128] 98.5% ----------------------------------------------------------------------------------------- simplify [42] 14.3% iterate-egraph!13 [3] 29.7% taylor [105] 56.1% [119] 2414(0.4%) 1716(0.3%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [133] 28.9% ----------------------------------------------------------------------------------------- simplify [42] 39.1% taylor [105] 60.9% [120] 1802(0.3%) 356(0.1%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 return/no-unsupplied [239] 40.6% ??? [126] 19.9% ??? [238] 19.8% ----------------------------------------------------------------------------------------- expression->type [107] 100.0% [121] 1772(0.3%) 0(0.0%) for-loop ...herbie/develop/src/type-check.rkt:52:5 f45 [88] 77.2% expression->type [107] 22.8% ----------------------------------------------------------------------------------------- matcher [109] 100.0% [122] 710(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:183:21 matcher [109] 100.0% ----------------------------------------------------------------------------------------- exprs-to-branch-on [114] 100.0% [123] 358(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:57:27 all-critical-subexpressions [134] 100.0% ----------------------------------------------------------------------------------------- gather-multiplicative-terms [115] 100.0% [124] 356(0.1%) 356(0.1%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------------------------- for-loop [110] 100.0% [125] 356(0.1%) 356(0.1%) ormap ...et/collects/racket/private/map.rkt:105:13 ----------------------------------------------------------------------------------------- taylor [105] 0.4% for-loop [111] 0.4% run-improve50 [2] 0.4% split-table [39] 0.4% pattern-match [48] 0.4% debug7 [120] 0.4% setfindf [26] 0.5% f45 [88] 0.9% expression->type [107] 1.3% ??? [251] 1.8% choose-best-alt! [57] 2.2% substitute-e [70] 5.7% match-e [62] 14.2% variable? [6] 16.9% get-sigs [116] 19.1% finalize-iter! [52] 34.9% [126] 81170(12.1%) 24234(3.6%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [136] 34.0% hash-has-key? [137] 30.9% ??? [142] 2.2% ??? [251] 1.3% atab-add-altns [143] 1.3% split-atab [146] 0.4% ----------------------------------------------------------------------------------------- ??? [230] 0.7% f45 [88] 3.3% for-loop [63] 3.3% get-sigs [116] 92.7% [127] 52550(7.8%) 3124(0.5%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [138] 44.5% for-loop [158] 42.8% get/build-late-neg-projection [167] 6.1% ??? [161] 0.7% ----------------------------------------------------------------------------------------- hash-update! [118] 100.0% [128] 47538(7.1%) 350(0.1%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [135] 99.3% ----------------------------------------------------------------------------------------- f45 [88] 2.8% ??? [230] 6.4% for-loop [63] 40.6% get-sigs [116] 50.2% [129] 25896(3.9%) 8754(1.3%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [139] 33.6% ??? [140] 31.2% ----------------------------------------------------------------------------------------- map [117] 100.0% [130] 2868(0.4%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 append-map [141] 62.5% f45 [88] 37.5% ----------------------------------------------------------------------------------------- simplify [42] 28.9% map [117] 71.1% [131] 2448(0.4%) 716(0.1%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 ??? [144] 42.2% return/no-unsupplied [239] 14.4% hash-ref! [232] 14.1% ----------------------------------------------------------------------------------------- map [117] 100.0% [132] 702(0.1%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:312:0 simplify [42] 100.0% ----------------------------------------------------------------------------------------- debug-print [119] 100.0% [133] 698(0.1%) 698(0.1%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ----------------------------------------------------------------------------------------- for-loop [123] 100.0% [134] 358(0.1%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:71:0 for-loop [145] 100.0% ----------------------------------------------------------------------------------------- ??? [128] 100.0% [135] 47188(7.0%) 42376(6.3%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 update-en-expr [201] 10.2% ----------------------------------------------------------------------------------------- ??? [126] 100.0% [136] 28106(4.2%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [148] 100.0% ----------------------------------------------------------------------------------------- mk-enode! [76] 6.5% ??? [126] 93.5% [137] 27382(4.1%) 8170(1.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [147] 61.0% ??? [245] 9.1% ----------------------------------------------------------------------------------------- ??? [127] 100.0% [138] 23378(3.5%) 1744(0.3%) ??? ...ects/racket/contract/private/hash.rkt:217:4 ??? [149] 92.5% ----------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [129] 100.0% [139] 8706(1.3%) 2092(0.3%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 ??? [238] 32.4% return/no-unsupplied [239] 31.3% assoc-ref [150] 12.3% ----------------------------------------------------------------------------------------- for-loop [217] 2.0% ??? [199] 15.4% ...velop/src/common.rkt:47:2 [129] 82.6% [140] 8076(1.2%) 1768(0.3%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [199] 65.1% ??? [251] 13.0% ??? [161] 4.5% ----------------------------------------------------------------------------------------- append-map [141] 22.2% f45 [88] 33.4% simplify-node [130] 44.5% [141] 3226(0.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop12 [241] 66.7% append-map [141] 22.2% loop [269] 11.1% ----------------------------------------------------------------------------------------- ??? [126] 100.0% [142] 1776(0.3%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [230] 100.0% ----------------------------------------------------------------------------------------- ??? [126] 100.0% [143] 1052(0.2%) 0(0.0%) atab-add-altns ...elop/src/core/alt-table.rkt:50:0 atab-add-altn [148] 100.0% ----------------------------------------------------------------------------------------- simplify* [131] 100.0% [144] 1034(0.2%) 684(0.1%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [251] 33.8% ----------------------------------------------------------------------------------------- all-critical-subexpressions [134] 100.0% [145] 358(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:75:2 f45 [88] 100.0% ----------------------------------------------------------------------------------------- ??? [126] 100.0% [146] 350(0.1%) 0(0.0%) split-atab .../develop/src/core/alt-table.rkt:74:0 for-loop [151] 100.0% ----------------------------------------------------------------------------------------- hash-has-key? [137] 31.5% ??? [231] 68.5% [147] 53076(7.9%) 19568(2.9%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [153] 47.3% ??? [160] 14.6% ??? [199] 0.7% successfully-got-the-right-kind-of-function [234] 0.6% ----------------------------------------------------------------------------------------- atab-add-altns [143] 3.6% for-loop [136] 96.4% [148] 29158(4.3%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [152] 97.7% override-at-pnts [155] 2.3% ----------------------------------------------------------------------------------------- ??? [138] 100.0% [149] 21634(3.2%) 712(0.1%) ??? ...ects/racket/contract/private/list.rkt:169:2 ??? [154] 96.7% ----------------------------------------------------------------------------------------- ??? [139] 100.0% [150] 1070(0.2%) 1070(0.2%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ----------------------------------------------------------------------------------------- split-atab [146] 100.0% [151] 350(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:75:2 for-loop [156] 100.0% ----------------------------------------------------------------------------------------- atab-add-altn [148] 100.0% [152] 28486(4.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [157] 98.8% ----------------------------------------------------------------------------------------- ??? [147] 100.0% [153] 25102(3.7%) 12562(1.9%) for-loop ...acket/contract/private/list.rkt:743:12 for-loop [158] 23.4% ??? [160] 20.9% ??? [161] 4.3% arrow-higher-order:lnp [163] 1.3% ----------------------------------------------------------------------------------------- ??? [149] 100.0% [154] 20922(3.1%) 686(0.1%) ??? ...ects/racket/contract/private/list.rkt:678:5 for-loop [159] 96.7% ----------------------------------------------------------------------------------------- atab-add-altn [148] 100.0% [155] 672(0.1%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [157] 100.0% ----------------------------------------------------------------------------------------- for-loop [151] 100.0% [156] 350(0.1%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:80:53 loop [162] 100.0% ----------------------------------------------------------------------------------------- override-at-pnts [155] 1.1% composed [259] 3.0% option-on-expr [186] 5.2% pred [273] 10.0% loop [180] 33.6% best-and-tied-at-points [152] 47.1% [157] 59804(8.9%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [164] 82.7% eval-prog [165] 17.3% ----------------------------------------------------------------------------------------- for-loop [153] 20.7% ??? [127] 79.3% [158] 28366(4.2%) 2484(0.4%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [199] 90.0% ??? [223] 1.2% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [159] 20236(3.0%) 3864(0.6%) for-loop ...racket/contract/private/list.rkt:680:9 add-list-context [166] 58.6% get/build-late-neg-projection [167] 22.3% ----------------------------------------------------------------------------------------- for-loop [153] 40.4% ??? [147] 59.6% [160] 12976(1.9%) 6272(0.9%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [168] 51.7% ----------------------------------------------------------------------------------------- ??? [127] 20.0% ??? [140] 20.1% for-loop [153] 59.9% [161] 1800(0.3%) 1080(0.2%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [169] 40.0% ----------------------------------------------------------------------------------------- for-loop [156] 49.7% one-iter [20] 50.3% [162] 704(0.1%) 354(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [170] 49.7% ----------------------------------------------------------------------------------------- for-loop [153] 100.0% [163] 336(0.1%) 0(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [171] 100.0% ----------------------------------------------------------------------------------------- errors [157] 100.0% [164] 49456(7.4%) 2470(0.4%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [172] 90.1% ??? [230] 3.6% ----------------------------------------------------------------------------------------- sort-context-on-expr [203] 1.4% make-exacts* [104] 1.8% errors [157] 43.1% loop [90] 53.7% [165] 24030(3.6%) 5986(0.9%) eval-prog ...herbie/develop/src/programs.rkt:148:0 hash-ref! [232] 38.0% f45 [88] 28.4% ??? [175] 4.3% go [176] 2.9% parse-app [258] 1.5% ----------------------------------------------------------------------------------------- for-loop [159] 100.0% [166] 11852(1.8%) 11852(1.8%) add-list-context ...ontract/private/list.rkt:752:0 ----------------------------------------------------------------------------------------- unconstrained-domain->-projection [178] 2.3% ??? [174] 16.1% ??? [127] 23.1% for-loop [159] 58.5% [167] 7726(1.2%) 708(0.1%) get/build-late-neg-projection ...te/guts.rkt:691:0 ??? [173] 70.1% ??? [174] 20.8% unconstrained-domain->-projection [178] 2.3% listof-late-neg-projection [179] 2.3% ----------------------------------------------------------------------------------------- ??? [160] 100.0% [168] 6704(1.0%) 6704(1.0%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ----------------------------------------------------------------------------------------- ??? [161] 100.0% [169] 720(0.1%) 362(0.1%) check-hash/c ...ket/contract/private/hash.rkt:83:0 flat-contract? [177] 49.7% ----------------------------------------------------------------------------------------- loop [162] 100.0% [170] 350(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:284:4 ??? [224] 100.0% ----------------------------------------------------------------------------------------- arrow-higher-order:lnp [163] 100.0% [171] 336(0.1%) 336(0.1%) ??? ...et/contract/private/arity-checking.rkt:19:2 ----------------------------------------------------------------------------------------- ??? [224] 2.0% jloop [11] 3.9% map [117] 6.3% loop [228] 8.5% loop [180] 36.7% for-loop [164] 42.6% [172] 104570(15.6%) 2976(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [181] 67.9% loop [180] 20.3% ??? [230] 5.9% ??? [188] 3.0% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [167] 100.0% [173] 6310(0.9%) 1756(0.3%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [182] 72.2% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [167] 100.0% [174] 2850(0.4%) 360(0.1%) ??? ...ects/racket/contract/private/hash.rkt:211:2 get/build-late-neg-projection [167] 87.4% ----------------------------------------------------------------------------------------- eval-prog [165] 100.0% [175] 1040(0.2%) 352(0.1%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [183] 66.2% ----------------------------------------------------------------------------------------- eval-prog [165] 100.0% [176] 700(0.1%) 342(0.1%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [184] 51.1% ----------------------------------------------------------------------------------------- check-hash/c [169] 100.0% [177] 358(0.1%) 358(0.1%) flat-contract? .../contract/private/guts.rkt:111:0 ----------------------------------------------------------------------------------------- get/build-late-neg-projection [167] 100.0% [178] 356(0.1%) 0(0.0%) unconstrained-domain->-projection ...rrow.rkt:60:0 get/build-late-neg-projection [167] 100.0% ----------------------------------------------------------------------------------------- get/build-late-neg-projection [167] 100.0% [179] 348(0.1%) 348(0.1%) listof-late-neg-projection ...ivate/list.rkt:162:0 ----------------------------------------------------------------------------------------- make-exacts* [104] 0.0% taylor [105] 0.4% for-loop [71] 0.8% parse-loop12 [241] 1.2% match-e [62] 1.3% map-enodes [24] 1.5% map [117] 2.3% option-on-expr [186] 3.2% ??? [172] 3.4% ??? [236] 3.6% loop! [185] 5.2% f45 [88] 19.0% loop [180] 58.2% [180] 183166(27.3%) 8864(1.3%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [180] 58.2% option-on-expr [186] 19.0% loop! [185] 5.0% hash-ref! [232] 3.6% errors [157] 3.2% ??? [230] 2.5% ??? [172] 2.0% for-loop [7] 1.3% f45 [88] 0.6% ??? [188] 0.5% ??? [192] 0.5% foldl [193] 0.4% simplify [42] 0.4% curried [195] 0.4% parse-loop12 [241] 0.1% set-precompute! [196] 0.0% ??? [190] 0.0% ??? [187] 0.0% ----------------------------------------------------------------------------------------- ??? [172] 100.0% [181] 71016(10.6%) 37644(5.6%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [187] 18.3% bf* [189] 10.2% ??? [202] 9.5% ??? [190] 4.8% ...higher-order.rkt:346:33 [194] 2.6% ??? [223] 1.0% parse-loop12 [241] 0.5% ----------------------------------------------------------------------------------------- contract-struct-name [191] 22.8% ??? [173] 77.2% [182] 4554(0.7%) 2124(0.3%) build-compound-type-name ...private/guts.rkt:448:0 contract-struct-name [191] 64.8% ----------------------------------------------------------------------------------------- ??? [175] 100.0% [183] 688(0.1%) 688(0.1%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ----------------------------------------------------------------------------------------- go [176] 100.0% [184] 358(0.1%) 358(0.1%) loop ...llects/racket/private/qq-and-or.rkt:101:61 ----------------------------------------------------------------------------------------- for-loop [82] 2.0% merge-egraph-nodes! [69] 13.3% loop [180] 26.6% for-loop [61] 58.1% [185] 98526(14.7%) 21104(3.1%) loop! ...s/herbie/develop/src/core/enode.rkt:192:2 custom-set-union [197] 41.6% loop [180] 29.6% set [200] 10.1% update-en-expr [201] 5.2% ----------------------------------------------------------------------------------------- f45 [88] 11.0% loop [180] 89.0% [186] 78774(11.7%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:103:0 sindices->spoints [198] 44.3% loop [180] 25.5% sort-context-on-expr [203] 17.4% err-lsts->split-indices [205] 6.1% errors [157] 4.0% pick-errors [206] 2.2% merge-err-lsts [209] 0.5% ----------------------------------------------------------------------------------------- loop [180] 2.6% ??? [181] 97.4% [187] 13380(2.0%) 8812(1.3%) ??? ...herbie/develop/src/syntax/syntax.rkt:122:17 return/no-unsupplied [239] 18.2% ??? [238] 16.0% ----------------------------------------------------------------------------------------- ??? [172] 28.6% loop [180] 71.4% [188] 11116(1.7%) 1400(0.2%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [204] 87.4% ----------------------------------------------------------------------------------------- ??? [181] 100.0% [189] 7256(1.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [202] 100.0% ----------------------------------------------------------------------------------------- loop [180] 9.6% ??? [181] 90.4% [190] 3782(0.6%) 3782(0.6%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ----------------------------------------------------------------------------------------- build-compound-type-name [182] 100.0% [191] 3472(0.5%) 2430(0.4%) contract-struct-name ...ract/private/prop.rkt:89:0 build-compound-type-name [182] 44.9% ----------------------------------------------------------------------------------------- map [117] 21.2% loop [180] 78.8% [192] 2466(0.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [232] 86.0% f45 [88] 14.0% ----------------------------------------------------------------------------------------- loop [180] 49.9% for-loop [71] 50.1% [193] 2094(0.3%) 1378(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [208] 34.2% ----------------------------------------------------------------------------------------- ??? [181] 100.0% [194] 1878(0.3%) 782(0.1%) ...higher-order.rkt:346:33 (unknown source) ??? [199] 58.4% ----------------------------------------------------------------------------------------- for-loop [110] 32.7% loop [180] 67.3% [195] 1020(0.2%) 1020(0.2%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------------------------- loop [180] 100.0% [196] 360(0.1%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:172:0 make-sequence [207] 100.0% ----------------------------------------------------------------------------------------- adopt-enode! [94] 3.0% loop! [185] 97.0% [197] 45140(6.7%) 15572(2.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [210] 54.5% for-loop [214] 11.0% ----------------------------------------------------------------------------------------- option-on-expr [186] 100.0% [198] 34934(5.2%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:116:0 loop [250] 100.0% ----------------------------------------------------------------------------------------- ??? [147] 1.1% ...higher-order.rkt:346:33 [194] 3.3% ??? [140] 19.8% for-loop [158] 75.9% [199] 33652(5.0%) 4892(0.7%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [211] 72.8% ??? [140] 7.4% for-loop [217] 3.1% ??? [251] 1.2% ??? [223] 1.1% ----------------------------------------------------------------------------------------- new-enode [87] 6.4% loop! [185] 93.6% [200] 21576(3.2%) 21576(3.2%) set ...collects/racket/private/set-types.rkt:981:0 ----------------------------------------------------------------------------------------- for-loop [81] 10.6% for-loop [135] 28.4% loop! [185] 61.0% [201] 16914(2.5%) 16566(2.5%) update-en-expr ...evelop/src/core/egraph.rkt:211:0 for-loop [219] 2.1% ----------------------------------------------------------------------------------------- ??? [181] 48.2% bf* [189] 51.8% [202] 14010(2.1%) 2144(0.3%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [213] 84.7% ----------------------------------------------------------------------------------------- option-on-expr [186] 100.0% [203] 13726(2.0%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [212] 97.5% eval-prog [165] 2.5% ----------------------------------------------------------------------------------------- ??? [188] 100.0% [204] 9716(1.4%) 8304(1.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [255] 14.5% ----------------------------------------------------------------------------------------- option-on-expr [186] 100.0% [205] 4782(0.7%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:222:0 add-splitpoint [215] 100.0% ----------------------------------------------------------------------------------------- option-on-expr [186] 100.0% [206] 1756(0.3%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:184:0 for-loop [216] 100.0% ----------------------------------------------------------------------------------------- set-precompute! [196] 34.5% merge-egraph-nodes! [69] 65.5% [207] 1042(0.2%) 1042(0.2%) make-sequence ...ects/racket/private/for.rkt:509:2 ----------------------------------------------------------------------------------------- foldl [193] 100.0% [208] 716(0.1%) 716(0.1%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------------------------- option-on-expr [186] 100.0% [209] 358(0.1%) 0(0.0%) merge-err-lsts ...velop/src/core/regimes.rkt:158:0 loop [218] 100.0% ----------------------------------------------------------------------------------------- custom-set-union [197] 100.0% [210] 24590(3.7%) 9946(1.5%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [220] 59.6% ----------------------------------------------------------------------------------------- ??? [199] 100.0% [211] 24498(3.6%) 1424(0.2%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [251] 87.5% ??? [223] 6.7% ----------------------------------------------------------------------------------------- sort-context-on-expr [203] 100.0% [212] 13378(2.0%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [221] 89.8% loop [228] 10.2% ----------------------------------------------------------------------------------------- ??? [202] 100.0% [213] 11866(1.8%) 6796(1.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [255] 42.7% ----------------------------------------------------------------------------------------- custom-set-union [197] 100.0% [214] 4978(0.7%) 4978(0.7%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------------------------- err-lsts->split-indices [205] 100.0% [215] 4782(0.7%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:235:2 for-loop [222] 100.0% ----------------------------------------------------------------------------------------- pick-errors [206] 100.0% [216] 1756(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:186:2 ??? [224] 100.0% ----------------------------------------------------------------------------------------- ??? [199] 100.0% [217] 1028(0.2%) 706(0.1%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [140] 31.3% ----------------------------------------------------------------------------------------- merge-err-lsts [209] 3.7% loop [218] 96.3% [218] 358(0.1%) 358(0.1%) loop .../herbie/develop/src/core/regimes.rkt:159:2 loop [218] 96.3% ----------------------------------------------------------------------------------------- update-en-expr [201] 100.0% [219] 348(0.1%) 348(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:213:6 ----------------------------------------------------------------------------------------- for-loop [210] 100.0% [220] 14644(2.2%) 14644(2.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------------------------- ??? [212] 100.0% [221] 12020(1.8%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [225] 77.4% loop [228] 22.6% ----------------------------------------------------------------------------------------- add-splitpoint [215] 100.0% [222] 4782(0.7%) 1026(0.2%) for-loop ...bie/develop/src/core/regimes.rkt:237:4 for-loop [226] 78.5% ----------------------------------------------------------------------------------------- for-loop [158] 11.2% ??? [199] 11.6% ??? [181] 23.4% ??? [211] 53.8% [223] 3064(0.5%) 700(0.1%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [227] 77.2% ----------------------------------------------------------------------------------------- ??? [170] 16.6% for-loop [216] 83.4% [224] 2106(0.3%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:177:2 ??? [172] 100.0% ----------------------------------------------------------------------------------------- generic-sort/key [221] 40.9% copying-mergesort [225] 59.1% [225] 9300(1.4%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [225] 59.1% loop [228] 29.8% jloop [11] 11.1% ----------------------------------------------------------------------------------------- for-loop [222] 100.0% [226] 3756(0.6%) 3756(0.6%) for-loop ...bie/develop/src/core/regimes.rkt:241:8 ----------------------------------------------------------------------------------------- ??? [223] 100.0% [227] 2364(0.4%) 1062(0.2%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [229] 55.1% ----------------------------------------------------------------------------------------- ??? [212] 14.7% generic-sort/key [221] 29.4% copying-mergesort [225] 56.0% [228] 9258(1.4%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [172] 96.1% ??? [230] 3.9% ----------------------------------------------------------------------------------------- ??? [227] 100.0% [229] 1302(0.2%) 1302(0.2%) ??? ...ects/racket/contract/private/list.rkt:141:5 ----------------------------------------------------------------------------------------- for-loop [235] 0.3% map [117] 0.7% get-final-combination [21] 0.7% loop [228] 0.8% for-loop [108] 2.2% ??? [142] 2.9% for-loop [164] 3.7% ??? [237] 9.0% f45 [88] 11.3% ??? [172] 12.1% for-loop [80] 14.5% ??? [231] 14.9% loop [180] 26.2% [230] 48162(7.2%) 3492(0.5%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [231] 56.8% approximate9 [5] 14.5% hash-ref! [232] 9.0% ??? [251] 4.9% ...velop/src/common.rkt:47:2 [129] 3.5% best-alt [233] 2.9% ??? [127] 0.7% successfully-got-the-right-kind-of-function [234] 0.3% ----------------------------------------------------------------------------------------- simplify-alt [44] 0.1% f45 [88] 0.1% get-sigs [116] 1.8% for-loop [63] 1.9% ??? [230] 6.8% ??? [231] 7.0% for-loop [235] 37.8% ??? [68] 43.6% [231] 525474(78.2%) 24946(3.7%) ??? ...llects/racket/private/norm-define.rkt:53:83 iterate-egraph!13 [3] 40.0% for-loop [235] 38.0% ??? [231] 7.0% loop [4] 4.2% ??? [230] 2.9% ??? [147] 2.4% ??? [238] 1.1% return/no-unsupplied [239] 0.9% mk-egraph [244] 0.3% dict? [268] 0.1% loop [247] 0.1% ??? [249] 0.1% list-member? [242] 0.1% ??? [245] 0.0% ----------------------------------------------------------------------------------------- simplify* [131] 0.1% ??? [45] 0.2% for-loop [30] 0.4% for-loop [43] 0.6% ??? [10] 1.0% update-leader! [78] 1.1% first-nonzero-exp [47] 1.1% localize-error [56] 2.1% for-loop [27] 3.2% for-loop [25] 3.4% ??? [240] 3.6% ??? [192] 4.4% ??? [230] 5.4% loop [23] 5.4% eval-prog [165] 8.8% ??? [236] 9.4% compile [73] 11.8% ??? [237] 18.0% loop [180] 19.1% [232] 32702(4.9%) 8320(1.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [236] 30.0% ??? [237] 23.4% bigfloat-hash [243] 7.5% parse-loop12 [241] 6.5% simplify [42] 5.2% ??? [240] 3.6% ??? [8] 3.4% ??? [9] 3.4% ??? [10] 1.4% taylor [105] 1.4% ??? [12] 0.6% f45 [88] 0.4% ??? [15] 0.2% ----------------------------------------------------------------------------------------- ??? [230] 100.0% [233] 1776(0.3%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:71:0 loop [246] 100.0% ----------------------------------------------------------------------------------------- ??? [147] 48.5% ??? [230] 51.5% [234] 652(0.1%) 316(0.0%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [248] 51.5% ----------------------------------------------------------------------------------------- ??? [231] 100.0% [235] 415726(61.9%) 712(0.1%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 ??? [231] 99.7% ??? [230] 0.1% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [236] 13660(2.0%) 718(0.1%) ??? ...tlies/herbie/develop/src/programs.rkt:183:5 loop [180] 64.3% hash-ref! [232] 32.2% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [237] 13056(1.9%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 hash-ref! [232] 74.8% ??? [230] 25.2% ----------------------------------------------------------------------------------------- debug7 [120] 2.8% ??? [187] 16.5% ??? [139] 21.8% ??? [231] 58.9% [238] 12940(1.9%) 3180(0.5%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [253] 61.8% ??? [251] 13.6% ----------------------------------------------------------------------------------------- simplify* [131] 3.0% debug7 [120] 6.2% ??? [187] 20.7% ??? [139] 23.2% ??? [231] 46.9% [239] 11754(1.8%) 8308(1.2%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [256] 29.3% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [240] 10978(1.6%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [232] 100.0% ----------------------------------------------------------------------------------------- loop [180] 1.2% ??? [181] 3.1% type-of-enode-expr [101] 3.2% parse-loop12 [241] 4.7% simplify [42] 7.2% append-map [141] 20.4% hash-ref! [232] 20.7% map [117] 39.5% [241] 10246(1.5%) 2080(0.3%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [180] 32.1% f45 [88] 13.1% for-loop [260] 12.3% parse-app [258] 10.7% map [117] 5.7% make-multiplication-node [266] 4.7% parse-loop12 [241] 4.7% loop [250] 0.6% ----------------------------------------------------------------------------------------- ??? [231] 3.4% for-loop [61] 96.6% [242] 9840(1.5%) 334(0.0%) list-member? ...llects/racket/private/set.rkt:24:0 loop [252] 85.8% member [261] 10.8% ----------------------------------------------------------------------------------------- hash-ref! [232] 100.0% [243] 7756(1.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [254] 91.1% sig+exp->bigfloat [263] 4.5% bigfloat->sig+exp [264] 4.4% ----------------------------------------------------------------------------------------- ??? [231] 100.0% [244] 3492(0.5%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:123:0 expr->enode [257] 89.9% mk-enode! [76] 10.1% ----------------------------------------------------------------------------------------- ??? [231] 12.5% hash-has-key? [137] 87.5% [245] 2860(0.4%) 2860(0.4%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ----------------------------------------------------------------------------------------- best-alt [233] 100.0% [246] 1776(0.3%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:146:2 composed [259] 100.0% ----------------------------------------------------------------------------------------- ??? [231] 100.0% [247] 360(0.1%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:66:6 random-exp [262] 100.0% ----------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [234]100.0% [248] 336(0.1%) 336(0.1%) arity-checking-wrapper ...w-higher-order.rkt:402:0 ----------------------------------------------------------------------------------------- ??? [231] 100.0% [249] 334(0.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:60:15 ??? [255] 100.0% ----------------------------------------------------------------------------------------- map [117] 0.0% parse-loop12 [241] 0.1% loop [250] 22.6% sindices->spoints [198] 77.3% [250] 35620(5.3%) 358(0.1%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [265] 77.3% loop [250] 22.6% ----------------------------------------------------------------------------------------- ??? [144] 1.2% ??? [199] 1.3% ??? [126] 3.6% ??? [238] 5.9% ??? [140] 7.0% ??? [230] 7.9% ??? [211] 71.9% [251] 29794(4.4%) 25352(3.8%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [126] 6.7% contract? [267] 5.9% dict? [268] 2.3% ----------------------------------------------------------------------------------------- list-member? [242] 100.0% [252] 8442(1.3%) 8442(1.3%) loop (unknown source) ----------------------------------------------------------------------------------------- ??? [238] 100.0% [253] 8002(1.2%) 8002(1.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ----------------------------------------------------------------------------------------- bigfloat-hash [243] 100.0% [254] 7062(1.1%) 7062(1.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------------------------- ??? [249] 4.9% real->bigfloat [204] 20.7% bfmul [213] 74.4% [255] 6816(1.0%) 6816(1.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------------------------- for-loop [71] 17.4% return/no-unsupplied [239] 82.6% [256] 4170(0.6%) 4170(0.6%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------------------------- mk-egraph [244] 44.4% expr->enode [257] 55.6% [257] 3140(0.5%) 0(0.0%) expr->enode ...e/develop/src/core/egraph.rkt:124:2 expr->enode [257] 55.6% mk-enode! [76] 44.4% ----------------------------------------------------------------------------------------- eval-prog [165] 14.1% f45 [88] 29.1% parse-loop12 [241] 44.3% [258] 2474(0.4%) 2474(0.4%) parse-app .../collects/racket/private/kw.rkt:951:2 ----------------------------------------------------------------------------------------- f45 [88] 15.7% loop [246] 84.3% [259] 2108(0.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [157] 84.3% loop [269] 15.7% ----------------------------------------------------------------------------------------- parse-loop12 [241] 100.0% [260] 1434(0.2%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:99:13 make-multiplication-node [266] 50.1% f45 [88] 49.9% ----------------------------------------------------------------------------------------- list-member? [242] 100.0% [261] 1064(0.2%) 1064(0.2%) member (unknown source) ----------------------------------------------------------------------------------------- loop [247] 100.0% [262] 360(0.1%) 360(0.1%) random-exp .../herbie/develop/src/common.rkt:246:0 ----------------------------------------------------------------------------------------- bigfloat-hash [243] 100.0% [263] 352(0.1%) 352(0.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------------------------- bigfloat-hash [243] 100.0% [264] 342(0.1%) 342(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ----------------------------------------------------------------------------------------- loop [250] 100.0% [265] 34934(5.2%) 0(0.0%) sidx->spoint ...develop/src/core/regimes.rkt:126:2 binary-search [270] 61.4% binary-search-floats [271] 38.6% ----------------------------------------------------------------------------------------- simplify [42] 15.7% for-loop [260] 15.7% parse-loop12 [241] 23.5% map [117] 45.1% [266] 4572(0.7%) 688(0.1%) make-multiplication-node .../core/reduce.rkt:230:0 make-multiplication-subnode [272] 85.0% ----------------------------------------------------------------------------------------- ??? [251] 100.0% [267] 1744(0.3%) 1744(0.3%) contract? ...acket/contract/private/guts.rkt:109:0 ----------------------------------------------------------------------------------------- ??? [251] 49.2% ??? [231] 50.8% [268] 1406(0.2%) 1406(0.2%) dict? ...ollects/racket/private/generic.rkt:146:11 ----------------------------------------------------------------------------------------- composed [259] 48.1% append-map [141] 51.9% [269] 690(0.1%) 690(0.1%) loop ...are/racket/collects/racket/list.rkt:414:34 ----------------------------------------------------------------------------------------- sidx->spoint [265] 100.0% [270] 21442(3.2%) 0(0.0%) binary-search ...rbie/develop/src/common.rkt:221:0 pred [273] 100.0% ----------------------------------------------------------------------------------------- sidx->spoint [265] 100.0% [271] 13492(2.0%) 0(0.0%) binary-search-floats ...velop/src/common.rkt:236:0 pred [273] 100.0% ----------------------------------------------------------------------------------------- make-multiplication-node [266] 100.0% [272] 3884(0.6%) 324(0.0%) make-multiplication-subnode ...re/reduce.rkt:240:0 for-loop [274] 82.4% group-by68 [275] 9.2% ----------------------------------------------------------------------------------------- binary-search-floats [271] 38.6% binary-search [270] 61.4% [273] 34934(5.2%) 0(0.0%) pred ...herbie/develop/src/core/regimes.rkt:132:17 loop [77] 82.8% errors [157] 17.2% ----------------------------------------------------------------------------------------- make-multiplication-subnode [272] 100.0% [274] 3202(0.5%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:242:3 mterm->expr [277] 88.8% make-multiplication-subsubsubnode [276] 11.2% ----------------------------------------------------------------------------------------- make-multiplication-subnode [272] 100.0% [275] 358(0.1%) 358(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------------------------- for-loop [274] 100.0% [276] 360(0.1%) 0(0.0%) make-multiplication-subsubsubnode ...uce.rkt:262:0 mterm->expr [277] 100.0% ----------------------------------------------------------------------------------------- make-multiplication-subsubsubnode [276] 11.2% for-loop [274] 88.8% [277] 3202(0.5%) 0(0.0%) mterm->expr ...e/develop/src/core/reduce.rkt:270:0 f45 [88] 77.6% expression->type [107] 22.4% -----------------------------------------------------------------------------------------