Profiling results ----------------- Total cpu time observed: 750378ms (out of 755740ms) Number of samples taken: 2145 (once every 350ms) (Hiding functions with self<1.0% and local<2.0%: 19 of 294 hidden) ========================================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================= ??? [83] 100.0% [1] 622726(83.0%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [21] 100.0% ----------------------------------------------------------------------------------------- ??? [83] 100.0% [2] 540038(72.0%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [22] 58.5% get-final-combination [23] 40.7% loop [92] 0.6% setup-alt-simplified [41] 0.1% ??? [138] 0.1% ----------------------------------------------------------------------------------------- f6 [214] 5.3% loop [252] 94.7% [3] 217136(28.9%) 0(0.0%) option-on-expr ...evelop/src/core/regimes.rkt:92:0 sindices->spoints [25] 35.0% pick-errors [26] 31.9% loop [252] 14.8% sort-context-on-expr [30] 9.3% err-lsts->split-indices [34] 4.7% errors [192] 4.2% ----------------------------------------------------------------------------------------- ??? [119] 100.0% [4] 207678(27.7%) 398(0.1%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [24] 97.9% ----------------------------------------------------------------------------------------- ??? [119] 100.0% [5] 60590(8.1%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:210:2 pass [27] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [6] 37492(5.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:292:23 for-loop [28] 100.0% ----------------------------------------------------------------------------------------- map [137] 2.3% ??? [158] 6.3% f6 [214] 91.5% [7] 26418(3.5%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:325:0 first-nonzero-exp [29] 92.7% simplify [50] 7.3% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [8] 19524(2.6%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:335:33 for-loop [33] 52.0% hash-ref! [231] 48.0% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [9] 18762(2.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:282:26 for-loop [31] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [10] 17964(2.4%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:43:15 hash-ref! [231] 93.0% ??? [52] 7.0% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [11] 17852(2.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:389:23 for-loop [32] 100.0% ----------------------------------------------------------------------------------------- free-variables [237] 2.3% f6 [214] 2.3% substitute-e [89] 4.4% match-e [73] 91.1% [12] 15834(2.1%) 618(0.1%) variable? ...e/develop/src/syntax/syntax.rkt:529:0 ??? [138] 96.1% ----------------------------------------------------------------------------------------- generic-sort/key [88] 4.4% copying-mergesort [95] 95.6% [13] 8278(1.1%) 368(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [209] 87.3% ->flonum [259] 8.2% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [14] 5068(0.7%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:480:23 for-loop [35] 100.0% ----------------------------------------------------------------------------------------- loop [252] 100.0% [15] 3550(0.5%) 1568(0.2%) for-loop ...ie/develop/src/core/simplify.rkt:168:2 eval-const-expr [37] 46.6% setfindf [42] 9.2% ----------------------------------------------------------------------------------------- ??? [158] 12.3% hash-ref! [231] 13.2% map [137] 34.7% f6 [214] 39.8% [16] 2706(0.4%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:309:0 first-nonzero-exp [29] 86.8% simplify [50] 13.2% ----------------------------------------------------------------------------------------- rewriter [100] 100.0% [17] 1942(0.3%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:455:0 for-loop [36] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [18] 1390(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:319:33 for-loop [38] 100.0% ----------------------------------------------------------------------------------------- f6 [214] 100.0% [19] 1304(0.2%) 358(0.0%) combine-mterms ...evelop/src/core/reduce.rkt:180:0 for-loop [40] 72.5% ----------------------------------------------------------------------------------------- map [137] 100.0% [20] 1280(0.2%) 300(0.0%) ??? ...ies/herbie/develop/src/core/reduce.rkt:50:5 for-loop [39] 76.6% ----------------------------------------------------------------------------------------- profile-thunk16 [1] 99.9% [21] 623056(83.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [83] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [22] 315890(42.1%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [43] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [23] 219846(29.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [44] 99.9% extract-alt [58] 0.1% ----------------------------------------------------------------------------------------- iterate-egraph!13 [4] 100.0% [24] 203418(27.1%) 7902(1.1%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 for-loop [45] 60.1% loop [47] 34.7% apply-match [61] 1.1% loop [196] 0.2% ----------------------------------------------------------------------------------------- option-on-expr [3] 100.0% [25] 76026(10.1%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:105:0 loop [46] 99.5% for-loop [57] 0.5% ----------------------------------------------------------------------------------------- option-on-expr [3] 100.0% [26] 69334(9.2%) 696(0.1%) pick-errors .../develop/src/core/regimes.rkt:160:0 for-loop [48] 99.0% ----------------------------------------------------------------------------------------- loop [5] 100.0% [27] 60590(8.1%) 356(0.0%) pass ...herbie/develop/src/core/simplify.rkt:200:2 for-loop [49] 98.9% ----------------------------------------------------------------------------------------- ??? [6] 100.0% [28] 37492(5.0%) 692(0.1%) for-loop ...bie/develop/src/core/taylor.rkt:295:27 hash-ref! [231] 98.3% simplify [50] 0.8% ----------------------------------------------------------------------------------------- taylor-sqrt [225] 1.3% taylor-invert [16] 8.6% taylor-quotient [7] 90.1% [29] 27202(3.6%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:257:0 hash-ref! [231] 98.8% simplify [50] 1.2% ----------------------------------------------------------------------------------------- option-on-expr [3] 100.0% [30] 20256(2.7%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [78] 100.0% ----------------------------------------------------------------------------------------- ??? [9] 100.0% [31] 18762(2.5%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:282:52 ??? [52] 60.2% hash-ref! [231] 29.3% simplify [50] 10.6% ----------------------------------------------------------------------------------------- ??? [11] 100.0% [32] 17852(2.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:393:33 for-loop [51] 100.0% ----------------------------------------------------------------------------------------- ??? [8] 100.0% [33] 11638(1.6%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:338:46 hash-ref! [231] 100.0% ----------------------------------------------------------------------------------------- option-on-expr [3] 100.0% [34] 10310(1.4%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:214:0 add-splitpoint [53] 100.0% ----------------------------------------------------------------------------------------- ??? [14] 100.0% [35] 5068(0.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:484:35 parse-loop12 [156] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 15.9% *rules* [17] 84.1% [36] 2310(0.3%) 668(0.1%) for-loop ...ies/herbie/develop/src/common.rkt:94:9 ormap [54] 59.8% flag-set? [70] 11.3% ----------------------------------------------------------------------------------------- for-loop [15] 100.0% [37] 1656(0.2%) 1022(0.1%) eval-const-expr .../develop/src/programs.rkt:167:0 f6 [214] 20.4% parse-app [224] 17.9% ----------------------------------------------------------------------------------------- ??? [18] 100.0% [38] 1390(0.2%) 328(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:321:46 hash-ref! [231] 49.9% simplify [50] 26.5% ----------------------------------------------------------------------------------------- ??? [20] 100.0% [39] 980(0.1%) 332(0.0%) for-loop ...erbie/develop/src/core/reduce.rkt:51:7 pattern-match [55] 66.1% ----------------------------------------------------------------------------------------- combine-mterms [19] 100.0% [40] 946(0.1%) 268(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:184:5 hash-ref! [231] 71.7% ----------------------------------------------------------------------------------------- run-improve50 [2] 100.0% [41] 636(0.1%) 0(0.0%) setup-alt-simplified .../develop/src/glue.rkt:48:0 simplify-alt [56] 100.0% ----------------------------------------------------------------------------------------- for-loop [15] 100.0% [42] 326(0.0%) 0(0.0%) setfindf ...es/herbie/develop/src/common.rkt:175:0 ??? [138] 100.0% ----------------------------------------------------------------------------------------- for-loop [22] 100.0% [43] 315890(42.1%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [59] 72.7% gen-series! [62] 19.2% finalize-iter! [64] 6.1% gen-rewrites! [67] 1.1% choose-best-alt! [69] 0.7% ----------------------------------------------------------------------------------------- get-final-combination [23] 100.0% [44] 219518(29.3%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f6 [214] 98.9% ??? [138] 1.1% ----------------------------------------------------------------------------------------- for-loop [45] 49.0% one-iter [24] 51.0% [45] 122276(16.3%) 23244(3.1%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [45] 49.0% match-e [73] 40.1% ??? [110] 0.4% ----------------------------------------------------------------------------------------- sindices->spoints [25] 100.0% [46] 75666(10.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [60] 100.0% ----------------------------------------------------------------------------------------- one-iter [24] 100.0% [47] 70594(9.4%) 320(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [61] 99.5% ----------------------------------------------------------------------------------------- pick-errors [26] 100.0% [48] 68638(9.1%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:163:6 eval-prog [210] 91.4% ??? [209] 8.6% ----------------------------------------------------------------------------------------- pass [27] 100.0% [49] 59910(8.0%) 350(0.0%) for-loop ...e/develop/src/core/simplify.rkt:203:29 argmin [63] 70.7% loop [65] 23.1% for-loop [68] 5.0% make-sequence [116] 0.6% ----------------------------------------------------------------------------------------- for-loop [28] 0.6% first-nonzero-exp [29] 0.6% loop [252] 0.6% taylor-invert [16] 0.7% for-loop [38] 0.7% taylor-sqrt [225] 1.3% taylor-quotient [7] 3.6% for-loop [31] 3.7% hash-ref! [231] 84.3% [50] 53068(7.1%) 714(0.1%) simplify ...erbie/develop/src/core/reduce.rkt:15:0 f6 [214] 76.2% parse-loop12 [156] 11.6% debug-print [234] 6.4% debug7 [235] 1.9% simplify* [172] 1.3% simplify-node [161] 1.2% ----------------------------------------------------------------------------------------- for-loop [32] 100.0% [51] 17852(2.4%) 336(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:395:39 hash-ref! [231] 98.1% ----------------------------------------------------------------------------------------- ??? [10] 9.4% for-loop [31] 90.6% [52] 13362(1.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:19 hash-ref! [231] 100.0% ----------------------------------------------------------------------------------------- err-lsts->split-indices [34] 100.0% [53] 10310(1.4%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:227:2 for-loop [66] 100.0% ----------------------------------------------------------------------------------------- for-loop [36] 100.0% [54] 1382(0.2%) 328(0.0%) ormap ...et/collects/racket/private/map.rkt:105:13 flag-set? [70] 76.3% ----------------------------------------------------------------------------------------- for-loop [71] 25.2% for-loop [39] 74.8% [55] 648(0.1%) 322(0.0%) pattern-match ...develop/src/core/matcher.rkt:47:0 for-loop [71] 25.2% ??? [138] 25.2% ----------------------------------------------------------------------------------------- setup-alt-simplified [41] 100.0% [56] 636(0.1%) 0(0.0%) simplify-alt ...s/herbie/develop/src/glue.rkt:81:0 ??? [119] 100.0% ----------------------------------------------------------------------------------------- sindices->spoints [25] 100.0% [57] 360(0.0%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:106:2 free-variables [237] 100.0% ----------------------------------------------------------------------------------------- get-final-combination [23] 100.0% [58] 328(0.0%) 0(0.0%) extract-alt ...es/herbie/develop/src/glue.rkt:54:0 loop [145] 100.0% ----------------------------------------------------------------------------------------- run-iter! [43] 100.0% [59] 229510(30.6%) 270(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [72] 99.9% ----------------------------------------------------------------------------------------- loop [46] 100.0% [60] 75666(10.1%) 0(0.0%) sidx->spoint ...develop/src/core/regimes.rkt:115:2 binary-search [76] 59.6% binary-search-floats [77] 40.4% ----------------------------------------------------------------------------------------- one-iter [24] 3.2% loop [47] 96.8% [61] 72564(9.7%) 3252(0.4%) apply-match ...develop/src/core/simplify.rkt:129:2 match-e [73] 30.9% merge-egraph-nodes! [87] 22.3% for-loop [79] 15.3% substitute-e [89] 10.8% loop! [96] 9.8% mk-enode! [98] 5.5% ----------------------------------------------------------------------------------------- run-iter! [43] 100.0% [62] 60780(8.1%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [74] 100.0% ----------------------------------------------------------------------------------------- for-loop [49] 100.0% [63] 42384(5.6%) 358(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [75] 89.0% expression-cost [81] 10.1% ----------------------------------------------------------------------------------------- run-iter! [43] 100.0% [64] 19176(2.6%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [138] 100.0% ----------------------------------------------------------------------------------------- for-loop [49] 100.0% [65] 13834(1.8%) 324(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [75] 85.4% expression-cost [81] 12.3% ----------------------------------------------------------------------------------------- add-splitpoint [53] 100.0% [66] 10310(1.4%) 3142(0.4%) for-loop ...bie/develop/src/core/regimes.rkt:229:4 for-loop [80] 69.5% ----------------------------------------------------------------------------------------- run-iter! [43] 100.0% [67] 3534(0.5%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [82] 100.0% ----------------------------------------------------------------------------------------- for-loop [49] 100.0% [68] 3006(0.4%) 3006(0.4%) for-loop ...e/develop/src/core/simplify.rkt:190:13 ----------------------------------------------------------------------------------------- run-iter! [43] 100.0% [69] 2190(0.3%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:115:0 ??? [138] 100.0% ----------------------------------------------------------------------------------------- for-loop [36] 19.8% ormap [54] 80.2% [70] 1314(0.2%) 260(0.0%) flag-set? ...es/herbie/develop/src/config.rkt:32:0 ??? [268] 80.2% ----------------------------------------------------------------------------------------- pattern-match [55] 100.0% [71] 326(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/matcher.rkt:65:9 pattern-match [55] 100.0% ----------------------------------------------------------------------------------------- simplify! [59] 98.6% [72] 232436(31.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [83] 99.9% debug7 [235] 0.1% ----------------------------------------------------------------------------------------- apply-match [61] 12.5% for-loop [94] 24.5% for-loop [45] 63.1% [73] 120416(16.0%) 31464(4.2%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [84] 49.5% for-loop [94] 9.6% ??? [138] 7.4% variable? [12] 4.8% list-cartesian-product [99] 3.3% loop [252] 1.5% curry* [104] 0.3% ----------------------------------------------------------------------------------------- gen-series! [62] 100.0% [74] 60780(8.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [86] 100.0% ----------------------------------------------------------------------------------------- loop [65] 23.8% argmin [63] 76.2% [75] 49536(6.6%) 336(0.0%) for-loop .../herbie/develop/src/programs.rkt:200:2 ??? [119] 71.4% ...velop/src/common.rkt:47:2 [124] 22.3% ??? [125] 5.7% ----------------------------------------------------------------------------------------- sidx->spoint [60] 100.0% [76] 45128(6.0%) 0(0.0%) binary-search ...rbie/develop/src/common.rkt:212:0 pred [85] 100.0% ----------------------------------------------------------------------------------------- sidx->spoint [60] 100.0% [77] 30538(4.1%) 0(0.0%) binary-search-floats ...velop/src/common.rkt:227:0 pred [85] 100.0% ----------------------------------------------------------------------------------------- sort-context-on-expr [30] 98.2% [78] 20624(2.7%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [88] 88.5% loop [107] 11.5% ----------------------------------------------------------------------------------------- apply-match [61] 100.0% [79] 11070(1.5%) 642(0.1%) for-loop ...e/develop/src/core/simplify.rkt:143:10 loop! [96] 32.7% merge-egraph-nodes! [87] 27.1% substitute-e [89] 22.3% mk-enode! [98] 12.1% ----------------------------------------------------------------------------------------- for-loop [66] 100.0% [80] 7168(1.0%) 7168(1.0%) for-loop ...bie/develop/src/core/regimes.rkt:233:8 ----------------------------------------------------------------------------------------- loop [65] 28.4% argmin [63] 71.6% [81] 6000(0.8%) 0(0.0%) expression-cost .../develop/src/programs.rkt:199:0 compile [90] 100.0% ----------------------------------------------------------------------------------------- gen-rewrites! [67] 100.0% [82] 3534(0.5%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [91] 100.0% ----------------------------------------------------------------------------------------- for-loop [72] 11.9% run [21] 41.0% [83] 667410(88.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 40.9% run-improve50 [2] 35.1% ??? [119] 17.2% loop [92] 6.7% ----------------------------------------------------------------------------------------- match-e [73] 100.0% [84] 76686(10.2%) 27922(3.7%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [94] 50.9% list-cartesian-product [99] 9.1% loop [252] 4.7% foldl [261] 1.8% curry* [104] 1.1% curried [260] 0.2% ----------------------------------------------------------------------------------------- binary-search-floats [77] 40.4% binary-search [76] 59.6% [85] 75666(10.1%) 0(0.0%) pred ...herbie/develop/src/core/regimes.rkt:121:17 loop [92] 94.9% errors [192] 5.1% ----------------------------------------------------------------------------------------- for-loop [74] 100.0% [86] 60780(8.1%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:139:0 for-loop [93] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 3.9% for-loop [101] 6.2% for-loop [79] 15.6% apply-match [61] 74.2% [87] 19190(2.6%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [97] 60.7% loop! [96] 11.7% enode-merge! [102] 9.3% for-loop [103] 7.3% for-loop [101] 6.2% merge-egraph-nodes! [87] 3.9% for-loop [36] 1.0% ----------------------------------------------------------------------------------------- ??? [78] 100.0% [88] 18256(2.4%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [95] 79.4% loop [107] 18.6% jloop [13] 2.0% ----------------------------------------------------------------------------------------- substitute-e [89] 16.1% for-loop [79] 20.0% apply-match [61] 63.9% [89] 10338(1.4%) 1360(0.2%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [98] 68.1% substitute-e [89] 16.1% ??? [138] 4.9% variable? [12] 3.4% ----------------------------------------------------------------------------------------- expression-cost [81] 100.0% [90] 6000(0.8%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:176:0 hash-ref! [231] 100.0% ----------------------------------------------------------------------------------------- for-loop [82] 100.0% [91] 3534(0.5%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [100] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 2.1% pred [85] 43.8% ??? [83] 54.1% [92] 163880(21.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 loop [106] 61.7% make-exacts* [121] 19.9% loop [122] 15.0% for-loop [109] 3.4% ----------------------------------------------------------------------------------------- taylor-alt [86] 100.0% [93] 60780(8.1%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:141:2 ??? [105] 100.0% ----------------------------------------------------------------------------------------- match-e [73] 32.0% for-loop [84] 68.0% [94] 58664(7.8%) 3166(0.4%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [73] 89.6% ??? [110] 6.4% ----------------------------------------------------------------------------------------- generic-sort/key [88] 43.5% copying-mergesort [95] 56.5% [95] 14490(1.9%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [95] 56.5% loop [107] 29.9% jloop [13] 13.6% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 12.1% for-loop [79] 21.0% loop [252] 28.8% apply-match [61] 38.1% [96] 13346(1.8%) 2444(0.3%) loop! ...s/herbie/develop/src/core/enode.rkt:163:2 loop [252] 35.6% custom-set-union [128] 33.3% set [129] 14.5% update-en-expr [183] 7.5% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [97] 13052(1.7%) 3212(0.4%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [108] 60.3% update-en-expr [183] 7.4% hash-ref! [231] 2.7% make-sequence [116] 2.6% custom-set-union! [118] 2.3% ----------------------------------------------------------------------------------------- for-loop [79] 10.8% apply-match [61] 32.3% substitute-e [89] 56.9% [98] 12378(1.6%) 8336(1.1%) mk-enode! ...bie/develop/src/core/egraph.rkt:101:0 hash-has-key? [155] 19.3% new-enode [112] 13.3% ----------------------------------------------------------------------------------------- list-cartesian-product [99] 20.8% match-e [73] 25.0% for-loop [84] 54.2% [99] 12254(1.6%) 11534(1.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [99] 20.8% for-loop [114] 2.9% ----------------------------------------------------------------------------------------- ??? [91] 17.2% matcher [130] 82.8% [100] 3534(0.5%) 1592(0.2%) rewriter ...bie/develop/src/core/matcher.rkt:127:2 for-loop [111] 82.8% *rules* [17] 9.3% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [101] 2382(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:200:10 merge-egraph-nodes! [87] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [102] 1776(0.2%) 360(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:100:0 adopt-enode! [113] 40.7% custom-set-intersect! [115] 39.1% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [103] 1394(0.2%) 1394(0.2%) for-loop ...rbie/develop/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------------------------- match-e [73] 23.2% for-loop [84] 76.8% [104] 1356(0.2%) 996(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [117] 26.5% ----------------------------------------------------------------------------------------- eval-prog [210] 0.6% ??? [164] 1.8% for-loop [127] 4.2% ??? [119] 25.5% for-loop [93] 25.5% f6 [214] 42.4% [105] 119112(15.9%) 1974(0.3%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [119] 45.2% approximate9 [120] 25.5% ??? [123] 14.3% ??? [125] 5.5% ...velop/src/common.rkt:47:2 [124] 5.1% best-alt [131] 1.8% ->flonum [259] 0.6% ----------------------------------------------------------------------------------------- loop [92] 100.0% [106] 101122(13.5%) 364(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 eval-prog [210] 61.5% loop [122] 22.5% make-exacts* [121] 15.7% ----------------------------------------------------------------------------------------- ??? [78] 19.2% generic-sort/key [88] 27.5% copying-mergesort [95] 53.3% [107] 12346(1.6%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [209] 83.2% ->flonum [259] 16.8% ----------------------------------------------------------------------------------------- update-leader! [97] 100.0% [108] 7874(1.0%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [126] 100.0% ----------------------------------------------------------------------------------------- loop [92] 100.0% [109] 5600(0.7%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:200:24 for-loop [127] 100.0% ----------------------------------------------------------------------------------------- for-loop [45] 21.5% for-loop [94] 78.5% [110] 4772(0.6%) 3020(0.4%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [132] 36.7% ----------------------------------------------------------------------------------------- rewriter [100] 100.0% [111] 3534(0.5%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:130:10 matcher [130] 100.0% ----------------------------------------------------------------------------------------- mk-enode! [98] 100.0% [112] 1652(0.2%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:68:0 check-valid-enode5 [133] 41.5% mutable-set [134] 38.6% set [129] 19.9% ----------------------------------------------------------------------------------------- enode-merge! [102] 100.0% [113] 722(0.1%) 362(0.0%) adopt-enode! ...ie/develop/src/core/enode.rkt:76:0 custom-set-union [128] 49.9% ----------------------------------------------------------------------------------------- list-cartesian-product [99] 100.0% [114] 720(0.1%) 720(0.1%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------------------------- enode-merge! [102] 100.0% [115] 694(0.1%) 356(0.0%) custom-set-intersect! ...ivate/set-types.rkt:269:0 for-loop [135] 48.7% ----------------------------------------------------------------------------------------- for-loop [49] 49.4% update-leader! [97] 50.6% [116] 680(0.1%) 680(0.1%) make-sequence ...ects/racket/private/for.rkt:509:2 ----------------------------------------------------------------------------------------- curry* [104] 100.0% [117] 360(0.0%) 360(0.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------------------------- update-leader! [97] 100.0% [118] 300(0.0%) 300(0.0%) custom-set-union! ...t/private/set-types.rkt:245:0 ----------------------------------------------------------------------------------------- simplify-alt [56] 0.1% for-loop [75] 3.3% ??? [119] 5.8% ??? [105] 22.8% for-loop [136] 31.6% ??? [83] 36.3% [119] 352722(47.0%) 17252(2.3%) ??? ...llects/racket/private/norm-define.rkt:53:83 for-loop [136] 31.6% iterate-egraph!13 [4] 29.5% ??? [105] 16.2% loop [5] 6.9% ??? [119] 5.8% ??? [170] 5.4% return/no-unsupplied [267] 0.3% loop [148] 0.3% ??? [268] 0.3% ??? [233] 0.1% mk-egraph [154] 0.0% ----------------------------------------------------------------------------------------- ??? [105] 100.0% [120] 60780(8.1%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [139] 94.0% f6 [214] 3.1% for-loop [149] 1.7% taylor-sqrt [225] 1.2% ----------------------------------------------------------------------------------------- loop [106] 32.7% loop [92] 67.3% [121] 48490(6.5%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [252] 52.0% map [137] 45.4% eval-prog [210] 2.7% ----------------------------------------------------------------------------------------- loop [106] 48.1% loop [92] 51.9% [122] 47264(6.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [137] 100.0% ----------------------------------------------------------------------------------------- ??? [138] 2.4% ??? [268] 5.8% ??? [140] 9.5% ??? [105] 79.1% [123] 21342(2.8%) 1940(0.3%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [138] 80.7% contract? [147] 9.5% ----------------------------------------------------------------------------------------- ??? [105] 35.7% for-loop [75] 64.3% [124] 17152(2.3%) 4076(0.5%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [140] 45.8% ??? [142] 30.5% ----------------------------------------------------------------------------------------- for-loop [75] 30.0% ??? [105] 70.0% [125] 9362(1.2%) 4886(0.7%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [146] 21.8% ??? [193] 14.4% get/build-late-neg-projection [150] 7.7% coerce-contract [151] 3.8% ----------------------------------------------------------------------------------------- for-loop [108] 100.0% [126] 7874(1.0%) 328(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [141] 95.8% ----------------------------------------------------------------------------------------- for-loop [109] 100.0% [127] 5600(0.7%) 654(0.1%) for-loop ...s/herbie/develop/src/points.rkt:201:26 ??? [105] 88.3% ----------------------------------------------------------------------------------------- adopt-enode! [113] 7.0% loop! [96] 93.0% [128] 5144(0.7%) 2008(0.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [144] 54.1% for-loop [152] 6.9% ----------------------------------------------------------------------------------------- new-enode [112] 8.5% loop! [96] 91.5% [129] 3862(0.5%) 3862(0.5%) set ...collects/racket/private/set-types.rkt:981:0 ----------------------------------------------------------------------------------------- matcher [130] 19.5% for-loop [143] 31.1% for-loop [111] 49.3% [130] 3534(0.5%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 rewriter [100] 49.3% for-loop [143] 31.1% matcher [130] 19.5% ----------------------------------------------------------------------------------------- ??? [105] 100.0% [131] 2190(0.3%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:76:0 loop [145] 84.8% argmins [153] 15.2% ----------------------------------------------------------------------------------------- ??? [110] 100.0% [132] 1752(0.2%) 1050(0.1%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ??? [138] 40.1% ----------------------------------------------------------------------------------------- new-enode [112] 100.0% [133] 686(0.1%) 686(0.1%) check-valid-enode5 ...lop/src/core/enode.rkt:177:0 ----------------------------------------------------------------------------------------- new-enode [112] 100.0% [134] 638(0.1%) 638(0.1%) mutable-set .../racket/private/set-types.rkt:999:0 ----------------------------------------------------------------------------------------- custom-set-intersect! [115] 100.0% [135] 338(0.0%) 338(0.0%) for-loop ...cts/racket/private/set-types.rkt:282:4 ----------------------------------------------------------------------------------------- ??? [119] 100.0% [136] 233360(31.1%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 ??? [119] 100.0% ----------------------------------------------------------------------------------------- parse-loop12 [156] 0.1% ??? [158] 0.1% gather-multiplicative-terms [227] 0.5% make-exacts* [121] 18.2% loop [122] 39.1% f6 [214] 42.1% [137] 120998(16.1%) 318(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [252] 50.5% f6 [214] 28.7% ??? [209] 6.5% parse-loop12 [156] 6.0% ??? [158] 4.7% simplify* [172] 1.3% simplify-node [161] 0.6% ->flonum [259] 0.4% gather-multiplicative-terms [227] 0.4% make-multiplication-node [184] 0.4% ??? [20] 0.3% taylor-invert [16] 0.2% taylor-quotient [7] 0.0% ----------------------------------------------------------------------------------------- run-improve50 [2] 0.4% pattern-match [55] 0.4% setfindf [42] 0.4% debug7 [235] 0.9% for-loop [132] 0.9% substitute-e [89] 1.6% f6 [214] 2.3% choose-best-alt! [69] 2.8% split-table [44] 3.0% variable? [12] 19.4% match-e [73] 20.9% ??? [123] 22.2% finalize-iter! [64] 24.5% [138] 78428(10.5%) 24836(3.3%) ??? ...contract/private/arrow-val-first.rkt:357:18 hash-has-key? [155] 36.8% for-loop [157] 24.5% split-atab [163] 3.0% ??? [164] 2.8% ??? [123] 0.9% ----------------------------------------------------------------------------------------- approximate9 [120] 100.0% [139] 57136(7.6%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:83:4 hash-ref! [231] 100.0% ----------------------------------------------------------------------------------------- for-loop [251] 4.6% ??? [233] 17.3% ...velop/src/common.rkt:47:2 [124] 78.1% [140] 7852(1.0%) 1746(0.2%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [233] 74.0% ??? [123] 12.9% ----------------------------------------------------------------------------------------- for-loop [126] 100.0% [141] 7546(1.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [159] 100.0% ----------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [124] 100.0% [142] 5224(0.7%) 1580(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 return/no-unsupplied [267] 30.8% ??? [268] 25.8% assoc-ref [250] 13.1% ----------------------------------------------------------------------------------------- matcher [130] 100.0% [143] 3208(0.4%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [130] 100.0% ----------------------------------------------------------------------------------------- custom-set-union [128] 100.0% [144] 2782(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [162] 100.0% ----------------------------------------------------------------------------------------- extract-alt [58] 15.0% best-alt [131] 85.0% [145] 2186(0.3%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:142:2 composed [160] 100.0% ----------------------------------------------------------------------------------------- ??? [125] 100.0% [146] 2040(0.3%) 1676(0.2%) ??? ...private/unconstrained-domain-arrow.rkt:69:2 get-blame-party-info [167] 17.8% ----------------------------------------------------------------------------------------- ??? [123] 100.0% [147] 2018(0.3%) 2018(0.3%) contract? ...acket/contract/private/guts.rkt:109:0 ----------------------------------------------------------------------------------------- ??? [119] 100.0% [148] 1036(0.1%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:66:6 random-exp [165] 100.0% ----------------------------------------------------------------------------------------- approximate9 [120] 100.0% [149] 1020(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:29:18 f6 [214] 70.4% taylor-sqrt [225] 29.6% ----------------------------------------------------------------------------------------- unconstrained-domain->-projection [166] 50.0% ??? [125] 50.0% [150] 724(0.1%) 364(0.0%) get/build-late-neg-projection ...te/guts.rkt:691:0 unconstrained-domain->-projection [166] 50.0% ??? [168] 24.9% ----------------------------------------------------------------------------------------- ??? [125] 100.0% [151] 360(0.0%) 360(0.0%) coerce-contract ...contract/private/guts.rkt:257:0 ----------------------------------------------------------------------------------------- custom-set-union [128] 100.0% [152] 354(0.0%) 354(0.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------------------------- best-alt [131] 100.0% [153] 332(0.0%) 0(0.0%) argmins ...ies/herbie/develop/src/common.rkt:141:0 composed [160] 100.0% ----------------------------------------------------------------------------------------- ??? [119] 100.0% [154] 274(0.0%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:123:0 expr->enode [169] 100.0% ----------------------------------------------------------------------------------------- mk-enode! [98] 7.7% ??? [138] 92.3% [155] 31230(4.2%) 10956(1.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [170] 62.0% ??? [176] 2.9% ----------------------------------------------------------------------------------------- loop [252] 1.1% hash-ref! [231] 1.2% append-map [223] 2.6% f6 [214] 3.6% parse-loop12 [156] 11.7% for-loop [35] 13.5% simplify [50] 14.6% map [137] 51.7% [156] 27688(3.7%) 12144(1.6%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 f6 [214] 31.1% for-loop [174] 13.5% parse-loop12 [156] 11.7% loop [252] 4.5% simplify* [172] 4.1% for-loop [178] 1.8% make-multiplication-node [184] 1.8% parse-app [224] 1.1% map [137] 0.5% foldr [179] 0.3% ----------------------------------------------------------------------------------------- ??? [138] 100.0% [157] 19176(2.6%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [171] 100.0% ----------------------------------------------------------------------------------------- loop [252] 1.6% map [137] 98.4% [158] 17206(2.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f6 [214] 88.5% taylor-quotient [7] 7.7% taylor-invert [16] 1.9% hash-ref! [231] 1.6% map [137] 0.3% ----------------------------------------------------------------------------------------- hash-update! [141] 100.0% [159] 7546(1.0%) 650(0.1%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [173] 91.4% ----------------------------------------------------------------------------------------- argmins [153] 4.8% loop [145] 31.4% f6 [214] 63.8% [160] 6952(0.9%) 324(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [214] 59.1% errors [192] 36.2% ----------------------------------------------------------------------------------------- simplify [50] 19.7% map [137] 80.3% [161] 3358(0.4%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:39:0 f6 [214] 59.7% combine-aterms [177] 20.5% append-map [223] 19.7% ----------------------------------------------------------------------------------------- for-loop [144] 100.0% [162] 2782(0.4%) 2782(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------------------------- ??? [138] 100.0% [163] 2382(0.3%) 0(0.0%) split-atab .../develop/src/core/alt-table.rkt:74:0 for-loop [175] 100.0% ----------------------------------------------------------------------------------------- ??? [138] 100.0% [164] 2190(0.3%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [105] 100.0% ----------------------------------------------------------------------------------------- loop [148] 100.0% [165] 1036(0.1%) 1036(0.1%) random-exp .../herbie/develop/src/common.rkt:237:0 ----------------------------------------------------------------------------------------- get/build-late-neg-projection [150] 100.0% [166] 724(0.1%) 0(0.0%) unconstrained-domain->-projection ...rrow.rkt:60:0 get/build-late-neg-projection [150] 100.0% ----------------------------------------------------------------------------------------- ??? [146] 100.0% [167] 364(0.0%) 364(0.0%) get-blame-party-info ...ate/arrow-common.rkt:136:0 ----------------------------------------------------------------------------------------- get/build-late-neg-projection [150] 100.0% [168] 360(0.0%) 0(0.0%) ??? ...cts/racket/contract/private/prop.rkt:314:12 build-compound-type-name [180] 100.0% ----------------------------------------------------------------------------------------- expr->enode [169] 50.0% mk-egraph [154] 50.0% [169] 274(0.0%) 274(0.0%) expr->enode ...e/develop/src/core/egraph.rkt:124:2 expr->enode [169] 50.0% ----------------------------------------------------------------------------------------- hash-has-key? [155] 35.8% ??? [119] 64.2% [170] 54116(7.2%) 19860(2.6%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [181] 49.4% ??? [193] 9.4% arrow-higher-order:lnp [247] 2.0% ??? [233] 1.3% successfully-got-the-right-kind-of-function [249] 1.3% ----------------------------------------------------------------------------------------- for-loop [157] 98.5% [171] 19476(2.6%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [182] 88.1% override-at-pnts [185] 8.7% loop [191] 1.7% loop [252] 1.4% ----------------------------------------------------------------------------------------- simplify [50] 9.8% parse-loop12 [156] 19.1% map [137] 71.1% [172] 7050(0.9%) 2956(0.4%) simplify* ...rbie/develop/src/core/reduce.rkt:20:0 return/no-unsupplied [267] 24.0% hash-ref! [231] 23.8% ??? [187] 10.3% ----------------------------------------------------------------------------------------- ??? [159] 100.0% [173] 6896(0.9%) 6000(0.8%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 update-en-expr [183] 13.0% ----------------------------------------------------------------------------------------- parse-loop12 [156] 100.0% [174] 5068(0.7%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:487:59 hash-ref! [231] 100.0% ----------------------------------------------------------------------------------------- split-atab [163] 100.0% [175] 2382(0.3%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:75:2 for-loop [186] 57.0% for-loop [188] 27.9% for-loop [190] 15.1% ----------------------------------------------------------------------------------------- hash-has-key? [155] 100.0% [176] 920(0.1%) 920(0.1%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ----------------------------------------------------------------------------------------- simplify-node [161] 100.0% [177] 690(0.1%) 690(0.1%) combine-aterms ...evelop/src/core/reduce.rkt:172:0 ----------------------------------------------------------------------------------------- parse-loop12 [156] 100.0% [178] 688(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:88:13 make-multiplication-node [184] 100.0% ----------------------------------------------------------------------------------------- parse-loop12 [156] 100.0% [179] 364(0.0%) 0(0.0%) foldr ...et/collects/racket/private/list.rkt:242:4 cp-2 [189] 100.0% ----------------------------------------------------------------------------------------- ??? [168] 100.0% [180] 360(0.0%) 360(0.0%) build-compound-type-name ...private/guts.rkt:448:0 ----------------------------------------------------------------------------------------- ??? [170] 100.0% [181] 26712(3.6%) 16780(2.2%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [193] 24.8% for-loop [194] 11.1% ??? [199] 1.3% ----------------------------------------------------------------------------------------- atab-add-altn [171] 100.0% [182] 17164(2.3%) 662(0.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [192] 91.6% for-loop [197] 4.5% ----------------------------------------------------------------------------------------- for-loop [173] 25.3% update-leader! [97] 27.2% loop! [96] 47.4% [183] 3538(0.5%) 3538(0.5%) update-en-expr ...evelop/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------------------------- parse-loop12 [156] 27.5% for-loop [178] 28.4% map [137] 44.1% [184] 2422(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:219:0 make-multiplication-subnode [195] 100.0% ----------------------------------------------------------------------------------------- atab-add-altn [171] 100.0% [185] 1704(0.2%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [192] 100.0% ----------------------------------------------------------------------------------------- for-loop [175] 100.0% [186] 1358(0.2%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:80:53 loop [196] 75.3% filter [275] 24.7% ----------------------------------------------------------------------------------------- simplify* [172] 100.0% [187] 724(0.1%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [274] 100.0% ----------------------------------------------------------------------------------------- for-loop [175] 100.0% [188] 664(0.1%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:86:30 ??? [203] 100.0% ----------------------------------------------------------------------------------------- foldr [179] 100.0% [189] 364(0.0%) 0(0.0%) cp-2 ...hare/racket/collects/racket/list.rkt:804:2 for-loop [198] 100.0% ----------------------------------------------------------------------------------------- for-loop [175] 100.0% [190] 360(0.0%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:76:45 ??? [203] 100.0% ----------------------------------------------------------------------------------------- atab-add-altn [171] 100.0% [191] 330(0.0%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:182:2 hash-set-lsts [200] 100.0% ----------------------------------------------------------------------------------------- override-at-pnts [185] 2.6% composed [160] 3.9% pred [85] 5.9% option-on-expr [3] 14.0% best-and-tied-at-points [182] 24.2% loop [252] 49.4% [192] 65002(8.7%) 360(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [201] 82.1% eval-prog [210] 16.8% ----------------------------------------------------------------------------------------- ??? [125] 10.3% ??? [170] 39.0% for-loop [181] 50.7% [193] 13084(1.7%) 6250(0.8%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [202] 52.2% ----------------------------------------------------------------------------------------- for-loop [181] 100.0% [194] 2968(0.4%) 2612(0.3%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [206] 12.0% ----------------------------------------------------------------------------------------- make-multiplication-node [184] 100.0% [195] 2422(0.3%) 362(0.0%) make-multiplication-subnode ...re/reduce.rkt:229:0 group-by68 [204] 57.8% for-loop [205] 27.3% ----------------------------------------------------------------------------------------- one-iter [24] 25.8% for-loop [186] 74.2% [196] 1378(0.2%) 356(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [203] 74.2% ----------------------------------------------------------------------------------------- best-and-tied-at-points [182] 100.0% [197] 772(0.1%) 772(0.1%) for-loop .../develop/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------------------------- cp-2 [189] 100.0% [198] 364(0.0%) 364(0.0%) for-loop .../racket/collects/racket/list.rkt:805:4 ----------------------------------------------------------------------------------------- for-loop [181] 100.0% [199] 334(0.0%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:222:6 check-hash/c [207] 100.0% ----------------------------------------------------------------------------------------- loop [191] 100.0% [200] 330(0.0%) 0(0.0%) hash-set-lsts ...elop/src/core/alt-table.rkt:111:0 loop [208] 100.0% ----------------------------------------------------------------------------------------- errors [192] 100.0% [201] 53378(7.1%) 1552(0.2%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [209] 87.9% ulp-difference [211] 4.8% ->flonum [259] 3.7% ----------------------------------------------------------------------------------------- ??? [193] 100.0% [202] 6834(0.9%) 6834(0.9%) make-keyword-procedure ...ket/private/kw.rkt:260:4 ----------------------------------------------------------------------------------------- filter [275] 14.1% for-loop [190] 15.1% for-loop [188] 27.9% loop [196] 42.9% [203] 2382(0.3%) 338(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:281:8 eval-prog [210] 71.7% ??? [209] 14.1% ----------------------------------------------------------------------------------------- make-multiplication-subnode [195] 100.0% [204] 1400(0.2%) 716(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [212] 25.1% for-loop [213] 23.7% ----------------------------------------------------------------------------------------- make-multiplication-subnode [195] 100.0% [205] 660(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:231:3 compose [236] 100.0% ----------------------------------------------------------------------------------------- for-loop [194] 100.0% [206] 356(0.0%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:686:7 ??? [248] 100.0% ----------------------------------------------------------------------------------------- ??? [199] 100.0% [207] 334(0.0%) 334(0.0%) check-hash/c ...ket/contract/private/hash.rkt:83:0 ----------------------------------------------------------------------------------------- hash-set-lsts [200] 100.0% [208] 330(0.0%) 330(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:106:2 ----------------------------------------------------------------------------------------- ??? [203] 0.2% for-loop [48] 3.6% jloop [13] 4.4% map [137] 4.8% loop [107] 6.3% for-loop [201] 28.8% loop [252] 51.7% [209] 162584(21.7%) 2788(0.4%) ??? ...tlies/herbie/develop/src/programs.rkt:155:4 ??? [215] 66.7% loop [252] 17.0% ??? [258] 9.3% ->flonum [259] 5.1% ----------------------------------------------------------------------------------------- make-exacts* [121] 0.9% ??? [203] 1.2% errors [192] 7.9% loop [106] 44.8% for-loop [48] 45.2% [210] 138866(18.5%) 25792(3.4%) eval-prog ...herbie/develop/src/programs.rkt:149:0 f6 [214] 40.1% hash-ref! [231] 34.8% ??? [216] 2.0% parse-app [224] 1.3% ??? [217] 1.2% go [218] 1.0% ??? [105] 0.5% ----------------------------------------------------------------------------------------- for-loop [201] 100.0% [211] 2564(0.3%) 1928(0.3%) ulp-difference ...erbie/develop/src/float.rkt:19:0 ??? [268] 24.8% ----------------------------------------------------------------------------------------- group-by68 [204] 100.0% [212] 352(0.0%) 352(0.0%) hash-update ...cket/private/more-scheme.rkt:356:13 ----------------------------------------------------------------------------------------- group-by68 [204] 100.0% [213] 332(0.0%) 332(0.0%) for-loop .../racket/collects/racket/list.rkt:783:4 ----------------------------------------------------------------------------------------- free-variables [237] 0.0% for-loop [149] 0.0% loop [252] 0.1% eval-const-expr [37] 0.1% composed [160] 0.1% simplify-node [161] 0.1% approximate9 [120] 0.2% append-map [223] 0.5% ??? [158] 0.6% parse-loop12 [156] 1.2% hash-ref! [231] 1.9% simplify [50] 3.2% eval-prog [210] 4.4% map [137] 7.0% f6 [214] 17.3% split-table [44] 63.1% [214] 276928(36.9%) 19746(2.6%) f6 ...et/collects/racket/match/compiler.rkt:507:40 loop [252] 59.6% f6 [214] 17.3% map [137] 10.6% ??? [105] 4.0% option-on-expr [3] 3.5% taylor-quotient [7] 1.0% append-map [223] 0.7% taylor [222] 0.4% ??? [138] 0.2% taylor-sqrt [225] 0.2% combine-mterms [19] 0.2% composed [160] 0.2% gather-multiplicative-terms [227] 0.2% parse-app [224] 0.1% compose [236] 0.1% parse-loop12 [156] 0.1% taylor-invert [16] 0.0% variable? [12] 0.0% ----------------------------------------------------------------------------------------- ??? [209] 100.0% [215] 108450(14.5%) 49742(6.6%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [232] 20.9% bf* [219] 14.0% ??? [220] 10.4% ??? [221] 7.3% ...higher-order.rkt:346:33 [228] 1.2% ??? [248] 0.3% ----------------------------------------------------------------------------------------- eval-prog [210] 100.0% [216] 2824(0.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [226] 100.0% ----------------------------------------------------------------------------------------- eval-prog [210] 100.0% [217] 1702(0.2%) 654(0.1%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack242 [229] 61.6% ----------------------------------------------------------------------------------------- eval-prog [210] 100.0% [218] 1356(0.2%) 350(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [230] 74.2% ----------------------------------------------------------------------------------------- ??? [215] 100.0% [219] 15142(2.0%) 300(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [232] 98.0% ----------------------------------------------------------------------------------------- ??? [215] 100.0% [220] 11290(1.5%) 5042(0.7%) ??? ...herbie/develop/src/syntax/syntax.rkt:118:17 return/no-unsupplied [267] 38.5% ??? [268] 14.2% list-member? [270] 2.7% ----------------------------------------------------------------------------------------- ??? [215] 100.0% [221] 7940(1.1%) 7940(1.1%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ----------------------------------------------------------------------------------------- hash-ref! [231] 11.8% f6 [214] 88.2% [222] 5672(0.8%) 1362(0.2%) taylor ...herbie/develop/src/core/taylor.rkt:160:0 debug-print [234] 47.8% curried [260] 11.9% debug7 [235] 10.4% loop [252] 5.9% ----------------------------------------------------------------------------------------- append-map [223] 3.5% simplify-node [161] 12.9% f6 [214] 83.6% [223] 5146(0.7%) 1022(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [214] 56.1% parse-loop12 [156] 20.8% free-variables [237] 12.8% append-map [223] 3.5% loop [240] 3.5% ----------------------------------------------------------------------------------------- eval-const-expr [37] 6.6% parse-loop12 [156] 13.5% f6 [214] 15.0% eval-prog [210] 40.7% [224] 4466(0.6%) 3786(0.5%) parse-app .../collects/racket/private/kw.rkt:951:2 loop [239] 15.2% ----------------------------------------------------------------------------------------- for-loop [149] 7.0% approximate9 [120] 16.6% f6 [214] 76.4% [225] 4306(0.6%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:343:0 hash-ref! [231] 75.2% simplify [50] 16.4% first-nonzero-exp [29] 8.3% ----------------------------------------------------------------------------------------- ??? [216] 100.0% [226] 2824(0.4%) 2824(0.4%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ----------------------------------------------------------------------------------------- gather-multiplicative-terms [227] 10.3% map [137] 34.0% f6 [214] 55.7% [227] 1962(0.3%) 1274(0.2%) gather-multiplicative-terms ...re/reduce.rkt:105:0 map [137] 38.0% gather-multiplicative-terms [227] 10.3% compose [236] 6.3% ----------------------------------------------------------------------------------------- ??? [215] 100.0% [228] 1330(0.2%) 330(0.0%) ...higher-order.rkt:346:33 (unknown source) ??? [233] 75.2% ----------------------------------------------------------------------------------------- ??? [217] 100.0% [229] 1048(0.1%) 0(0.0%) unpack242 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [238] 100.0% ----------------------------------------------------------------------------------------- go [218] 38.8% loop [230] 61.2% [230] 1006(0.1%) 1006(0.1%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [230] 61.2% ----------------------------------------------------------------------------------------- for-loop [38] 0.0% for-loop [40] 0.1% ??? [158] 0.2% for-loop [174] 0.3% update-leader! [97] 0.3% simplify* [172] 0.4% taylor-sqrt [225] 0.4% for-loop [31] 0.9% for-loop [33] 0.9% ??? [52] 1.0% ??? [8] 1.1% for-loop [51] 1.3% ??? [10] 1.8% compile [90] 2.5% first-nonzero-exp [29] 2.5% ??? [242] 2.8% loop [139] 6.6% for-loop [28] 8.3% eval-prog [210] 14.5% ??? [241] 25.4% loop [252] 28.1% [231] 113432(15.1%) 11244(1.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [242] 31.8% ??? [241] 25.4% bigfloat-hash [243] 13.0% ??? [6] 8.6% simplify [50] 4.4% f6 [214] 4.3% ??? [8] 2.0% ??? [9] 2.0% ??? [10] 1.9% ??? [11] 1.3% ??? [14] 0.3% parse-loop12 [156] 0.2% taylor [222] 0.2% taylor-invert [16] 0.1% ??? [18] 0.1% ----------------------------------------------------------------------------------------- bf* [219] 39.6% ??? [215] 60.4% [232] 37480(5.0%) 9180(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [244] 67.7% bfsqrt [246] 7.8% ----------------------------------------------------------------------------------------- ??? [119] 6.7% ??? [170] 7.0% ...higher-order.rkt:346:33 [228] 10.1% ??? [140] 76.2% [233] 9886(1.3%) 6110(0.8%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [140] 27.5% for-loop [251] 7.3% ??? [248] 3.4% ----------------------------------------------------------------------------------------- taylor [222] 44.3% simplify [50] 55.7% [234] 6118(0.8%) 2064(0.3%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [245] 66.3% ----------------------------------------------------------------------------------------- for-loop [72] 16.7% taylor [222] 30.8% simplify [50] 52.5% [235] 1912(0.3%) 904(0.1%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [138] 35.1% assoc-ref [250] 17.6% ----------------------------------------------------------------------------------------- gather-multiplicative-terms [227] 21.6% for-loop [205] 38.5% f6 [214] 39.9% [236] 1714(0.2%) 1714(0.2%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------------------------- for-loop [57] 24.9% append-map [223] 75.1% [237] 1444(0.2%) 724(0.1%) free-variables ...e/develop/src/programs.rkt:101:0 f6 [214] 24.9% variable? [12] 24.9% ----------------------------------------------------------------------------------------- unpack242 [229] 100.0% [238] 1048(0.1%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 arrow-higher-order:lnp [247] 65.8% successfully-got-the-right-kind-of-function [249] 34.2% ----------------------------------------------------------------------------------------- parse-app [224] 42.4% loop [239] 57.6% [239] 680(0.1%) 680(0.1%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [239] 57.6% ----------------------------------------------------------------------------------------- append-map [223] 100.0% [240] 358(0.0%) 358(0.0%) loop ...are/racket/collects/racket/list.rkt:414:34 ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [241] 56802(7.6%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:64:15 hash-ref! [231] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [242] 47310(6.3%) 1982(0.3%) ??? ...tlies/herbie/develop/src/programs.rkt:184:5 loop [252] 88.8% hash-ref! [231] 9.7% ----------------------------------------------------------------------------------------- hash-ref! [231] 100.0% [243] 43716(5.8%) 718(0.1%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [253] 86.7% sig+exp->bigfloat [254] 10.1% bigfloat->sig+exp [262] 1.5% ----------------------------------------------------------------------------------------- ??? [232] 100.0% [244] 25382(3.4%) 19434(2.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [273] 23.4% ----------------------------------------------------------------------------------------- debug-print [234] 100.0% [245] 4054(0.5%) 4054(0.5%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ----------------------------------------------------------------------------------------- ??? [232] 100.0% [246] 2918(0.4%) 1892(0.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [273] 35.2% ----------------------------------------------------------------------------------------- maybe-cons-kwd [238] 39.3% ??? [170] 60.7% [247] 1756(0.2%) 350(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [255] 80.1% ----------------------------------------------------------------------------------------- ??? [233] 31.6% ??? [206] 33.6% ??? [215] 34.8% [248] 1058(0.1%) 702(0.1%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [256] 33.6% ----------------------------------------------------------------------------------------- maybe-cons-kwd [238] 34.4% ??? [170] 65.6% [249] 1040(0.1%) 716(0.1%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [257] 31.2% ----------------------------------------------------------------------------------------- debug7 [235] 32.9% ??? [142] 67.1% [250] 1022(0.1%) 1022(0.1%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ----------------------------------------------------------------------------------------- ??? [233] 100.0% [251] 720(0.1%) 0(0.0%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [140] 100.0% ----------------------------------------------------------------------------------------- atab-add-altn [171] 0.0% taylor [222] 0.1% make-exacts* [121] 0.2% parse-loop12 [156] 0.5% ??? [209] 0.9% match-e [73] 0.9% for-loop [84] 1.0% map [137] 1.2% loop! [96] 1.2% option-on-expr [3] 2.3% ??? [242] 8.8% f6 [214] 23.2% loop [252] 59.7% [252] 318842(42.5%) 8616(1.1%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [252] 59.7% option-on-expr [3] 23.2% hash-ref! [231] 8.7% errors [192] 2.3% ??? [209] 1.3% loop! [96] 1.0% ->flonum [259] 0.7% curried [260] 0.3% parse-loop12 [156] 0.3% f6 [214] 0.2% ??? [258] 0.2% foldl [261] 0.2% for-loop [15] 0.1% simplify [50] 0.1% loop [265] 0.0% ??? [158] 0.0% ----------------------------------------------------------------------------------------- bigfloat-hash [243] 100.0% [253] 37906(5.1%) 36552(4.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [262] 3.6% ----------------------------------------------------------------------------------------- bigfloat-hash [243] 100.0% [254] 4424(0.6%) 2388(0.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [273] 23.8% integer->mpz [263] 22.2% ----------------------------------------------------------------------------------------- arrow-higher-order:lnp [247] 100.0% [255] 1406(0.2%) 1406(0.2%) ??? ...et/contract/private/arity-checking.rkt:19:2 ----------------------------------------------------------------------------------------- ??? [248] 100.0% [256] 356(0.0%) 0(0.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [264] 100.0% ----------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [249]100.0% [257] 324(0.0%) 324(0.0%) arity-checking-wrapper ...w-higher-order.rkt:402:0 ----------------------------------------------------------------------------------------- ??? [209] 46.9% loop [252] 53.1% [258] 32286(4.3%) 2530(0.3%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [266] 92.2% ----------------------------------------------------------------------------------------- map [137] 2.7% jloop [13] 2.9% ??? [105] 2.9% for-loop [201] 8.3% loop [107] 8.7% ??? [209] 34.7% loop [252] 39.8% [259] 23920(3.2%) 11452(1.5%) ->flonum ...s/herbie/develop/src/programs.rkt:37:0 return/no-unsupplied [267] 28.1% ??? [268] 20.9% ??? [271] 1.7% list-member? [270] 1.5% ----------------------------------------------------------------------------------------- for-loop [84] 13.1% taylor [222] 28.7% loop [252] 58.2% [260] 2350(0.3%) 2350(0.3%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------------------------- loop [252] 33.4% for-loop [84] 66.6% [261] 2078(0.3%) 670(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [269] 67.8% ----------------------------------------------------------------------------------------- bigfloat-hash [243] 33.0% bfcanonicalize [253] 67.0% [262] 2022(0.3%) 1680(0.2%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [272] 16.9% ----------------------------------------------------------------------------------------- sig+exp->bigfloat [254] 100.0% [263] 982(0.1%) 982(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ----------------------------------------------------------------------------------------- ??? [256] 100.0% [264] 356(0.0%) 356(0.0%) ??? ...ects/racket/contract/private/list.rkt:141:5 ----------------------------------------------------------------------------------------- loop [252] 6.2% loop [265] 93.8% [265] 278(0.0%) 278(0.0%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [265] 93.8% ----------------------------------------------------------------------------------------- ??? [258] 100.0% [266] 29756(4.0%) 19464(2.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [273] 34.6% ----------------------------------------------------------------------------------------- ??? [142] 9.7% simplify* [172] 10.1% ??? [119] 13.8% ??? [220] 26.1% ->flonum [259] 40.3% [267] 16656(2.2%) 11488(1.5%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [275] 31.0% ----------------------------------------------------------------------------------------- ulp-difference [211] 5.8% flag-set? [70] 9.6% ??? [142] 12.2% ??? [119] 12.6% ??? [220] 14.5% ->flonum [259] 45.3% [268] 11026(1.5%) 2814(0.4%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [274] 63.3% ??? [123] 11.1% ----------------------------------------------------------------------------------------- foldl [261] 100.0% [269] 1408(0.2%) 1408(0.2%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------------------------- ??? [220] 45.6% ->flonum [259] 54.4% [270] 666(0.1%) 666(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 ----------------------------------------------------------------------------------------- ->flonum [259] 100.0% [271] 396(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:60:15 ??? [273] 100.0% ----------------------------------------------------------------------------------------- bigfloat->sig+exp [262] 100.0% [272] 342(0.0%) 342(0.0%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ----------------------------------------------------------------------------------------- ??? [271] 2.1% bfsqrt [246] 5.5% sig+exp->bigfloat [254] 5.6% bfmul [244] 31.8% real->bigfloat [266] 55.0% [273] 18716(2.5%) 18716(2.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------------------------- ??? [187] 9.4% ??? [268] 90.6% [274] 7708(1.0%) 7708(1.0%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ----------------------------------------------------------------------------------------- for-loop [186] 6.1% return/no-unsupplied [267] 93.9% [275] 5504(0.7%) 5168(0.7%) filter ...t/collects/racket/private/list.rkt:256:2 ??? [203] 6.1% -----------------------------------------------------------------------------------------