Profiling results ----------------- Total cpu time observed: 780488ms (out of 788112ms) Number of samples taken: 2187 (once every 357ms) (Hiding functions with self<1.0% and local<2.0%: 17 of 291 hidden) ========================================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================= ??? [38] 100.0% [1] 699156(89.6%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [18] 100.0% ----------------------------------------------------------------------------------------- f6 [140] 1.8% loop [236] 98.2% [2] 329312(42.2%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:102:0 sindices->spoints [20] 57.6% loop [236] 22.4% sort-context-on-expr [23] 8.4% err-lsts->split-indices [25] 6.8% errors [94] 3.5% pick-errors [30] 1.2% ----------------------------------------------------------------------------------------- ??? [181] 100.0% [3] 209496(26.8%) 0(0.0%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [19] 97.2% map-enodes [29] 2.7% debug-print [173] 0.1% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [4] 32818(4.2%) 334(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [22] 89.7% f6 [140] 4.1% taylor-sqrt [48] 3.0% for-loop [36] 2.1% ----------------------------------------------------------------------------------------- ??? [181] 100.0% [5] 31398(4.0%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:210:2 pass [21] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [6] 22862(2.9%) 328(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [24] 99.3% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [7] 19788(2.5%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [214] 78.8% ??? [201] 21.2% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [8] 16734(2.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:26 for-loop [26] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [9] 14272(1.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:338:33 for-loop [27] 69.5% hash-ref! [214] 30.5% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [10] 11476(1.5%) 324(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:392:23 for-loop [28] 91.4% ??? [250] 3.1% partition-list [37] 2.6% ----------------------------------------------------------------------------------------- copying-mergesort [72] 100.0% [11] 8646(1.1%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [120] 87.9% ->flonum [165] 12.1% ----------------------------------------------------------------------------------------- ??? [250] 6.5% f6 [140] 93.5% [12] 5548(0.7%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:328:0 first-nonzero-exp [184] 100.0% ----------------------------------------------------------------------------------------- loop [236] 100.0% [13] 5248(0.7%) 1042(0.1%) for-loop ...ie/develop/src/core/simplify.rkt:168:2 eval-const-expr [31] 60.4% setfindf [35] 13.4% ->flonum [165] 6.4% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [14] 2808(0.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:483:23 for-loop [32] 100.0% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [15] 1362(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:322:33 for-loop [33] 100.0% ----------------------------------------------------------------------------------------- f6 [140] 100.0% [16] 722(0.1%) 0(0.0%) combine-mterms ...evelop/src/core/reduce.rkt:180:0 for-loop [34] 100.0% ----------------------------------------------------------------------------------------- f6 [140] 100.0% [17] 682(0.1%) 0(0.0%) taylor-log ...ie/develop/src/core/taylor.rkt:476:0 simplify [43] 100.0% ----------------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [18] 699480(89.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [38] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [19] 203596(26.1%) 5128(0.7%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 for-loop [40] 50.6% loop [41] 45.1% apply-match [56] 1.3% loop [243] 0.3% filter [252] 0.2% ----------------------------------------------------------------------------------------- option-on-expr [2] 100.0% [20] 189830(24.3%) 0(0.0%) sindices->spoints ...op/src/core/regimes.rkt:115:0 loop [39] 99.3% eval-prog [132] 0.4% for-loop [50] 0.4% ----------------------------------------------------------------------------------------- loop [5] 100.0% [21] 31398(4.0%) 0(0.0%) pass ...herbie/develop/src/core/simplify.rkt:200:2 for-loop [42] 98.9% ----------------------------------------------------------------------------------------- approximate9 [4] 100.0% [22] 29452(3.8%) 300(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 hash-ref! [214] 99.0% ----------------------------------------------------------------------------------------- option-on-expr [2] 100.0% [23] 27772(3.6%) 358(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [44] 98.7% ----------------------------------------------------------------------------------------- ??? [6] 100.0% [24] 22862(2.9%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [214] 98.4% simplify [43] 1.6% ----------------------------------------------------------------------------------------- option-on-expr [2] 100.0% [25] 22422(2.9%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:221:0 add-splitpoint [45] 95.5% for-loop [49] 4.5% ----------------------------------------------------------------------------------------- ??? [8] 100.0% [26] 16734(2.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:285:52 ??? [201] 58.7% hash-ref! [214] 39.1% simplify [43] 2.1% ----------------------------------------------------------------------------------------- ??? [9] 100.0% [27] 10940(1.4%) 334(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:341:46 hash-ref! [214] 96.9% ----------------------------------------------------------------------------------------- ??? [10] 100.0% [28] 10494(1.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:396:33 for-loop [46] 100.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 100.0% [29] 5596(0.7%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:139:0 loop [236] 100.0% ----------------------------------------------------------------------------------------- option-on-expr [2] 100.0% [30] 3952(0.5%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:183:0 for-loop [47] 92.1% point->alt [51] 7.9% ----------------------------------------------------------------------------------------- for-loop [13] 100.0% [31] 3168(0.4%) 686(0.1%) eval-const-expr .../develop/src/programs.rkt:167:0 f6 [140] 69.1% ??? [53] 9.2% ----------------------------------------------------------------------------------------- ??? [14] 100.0% [32] 2808(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:487:35 parse-loop12 [167] 100.0% ----------------------------------------------------------------------------------------- ??? [15] 100.0% [33] 1362(0.2%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:324:46 hash-ref! [214] 100.0% ----------------------------------------------------------------------------------------- combine-mterms [16] 100.0% [34] 722(0.1%) 360(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:184:5 hash-ref! [214] 50.1% ----------------------------------------------------------------------------------------- for-loop [13] 100.0% [35] 704(0.1%) 704(0.1%) setfindf ...es/herbie/develop/src/common.rkt:175:0 ----------------------------------------------------------------------------------------- approximate9 [4] 100.0% [36] 690(0.1%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:29:18 taylor-sqrt [48] 52.5% f6 [140] 47.5% ----------------------------------------------------------------------------------------- ??? [10] 100.0% [37] 298(0.0%) 0(0.0%) partition-list ...evelop/src/core/taylor.rkt:376:0 rle [52] 100.0% ----------------------------------------------------------------------------------------- for-loop [107] 10.4% run [18] 42.8% [38] 734384(94.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 42.7% run-improve50 [54] 37.5% ??? [181] 13.2% loop [92] 6.6% ----------------------------------------------------------------------------------------- map [153] 0.3% loop [39] 2.9% sindices->spoints [20] 96.8% [39] 189184(24.2%) 718(0.1%) loop ...cket/collects/racket/private/map.rkt:36:19 sidx->spoint [55] 96.8% loop [39] 2.9% ----------------------------------------------------------------------------------------- for-loop [40] 48.6% one-iter [19] 51.4% [40] 102954(13.2%) 21280(2.7%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [40] 48.6% match-e [69] 39.5% ??? [113] 0.2% ----------------------------------------------------------------------------------------- one-iter [19] 100.0% [41] 91760(11.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [56] 100.0% ----------------------------------------------------------------------------------------- pass [21] 100.0% [42] 31066(4.0%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:203:29 argmin [59] 65.4% loop [60] 21.2% for-loop [61] 13.5% ----------------------------------------------------------------------------------------- taylor-invert [176] 1.1% for-loop [26] 1.2% for-loop [24] 1.2% taylor-log [17] 2.4% loop [236] 3.5% hash-ref! [214] 90.5% [43] 28880(3.7%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:15:0 f6 [140] 79.7% parse-loop12 [167] 4.8% simplify-node [63] 3.7% debug-print [173] 3.6% make-multiplication-node [207] 3.6% simplify* [185] 2.4% debug7 [65] 2.2% ----------------------------------------------------------------------------------------- sort-context-on-expr [23] 98.8% [44] 27746(3.6%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [57] 89.1% loop [86] 10.9% ----------------------------------------------------------------------------------------- err-lsts->split-indices [25] 100.0% [45] 21404(2.7%) 0(0.0%) add-splitpoint ...velop/src/core/regimes.rkt:234:2 for-loop [58] 100.0% ----------------------------------------------------------------------------------------- for-loop [28] 100.0% [46] 10494(1.3%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:398:39 hash-ref! [214] 100.0% ----------------------------------------------------------------------------------------- pick-errors [30] 100.0% [47] 3640(0.5%) 360(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:185:2 ??? [62] 90.1% ----------------------------------------------------------------------------------------- for-loop [36] 17.4% f6 [140] 34.7% approximate9 [4] 47.9% [48] 2076(0.3%) 0(0.0%) taylor-sqrt ...e/develop/src/core/taylor.rkt:346:0 first-nonzero-exp [184] 65.3% hash-ref! [214] 34.7% ----------------------------------------------------------------------------------------- err-lsts->split-indices [25] 100.0% [49] 1018(0.1%) 300(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:259:4 map [153] 70.5% ----------------------------------------------------------------------------------------- sindices->spoints [20] 100.0% [50] 666(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:116:2 f6 [140] 50.2% free-variables [64] 49.8% ----------------------------------------------------------------------------------------- pick-errors [30] 100.0% [51] 312(0.0%) 0(0.0%) point->alt ...e/develop/src/core/regimes.rkt:170:0 eval-prog [132] 100.0% ----------------------------------------------------------------------------------------- partition-list [37] 100.0% [52] 298(0.0%) 0(0.0%) rle ...es/herbie/develop/src/core/taylor.rkt:372:0 group-by68 [230] 100.0% ----------------------------------------------------------------------------------------- eval-const-expr [31] 100.0% [53] 292(0.0%) 292(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1635:39 ----------------------------------------------------------------------------------------- ??? [38] 100.0% [54] 612562(78.5%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 get-final-combination [66] 53.9% for-loop [67] 45.5% loop [92] 0.4% setup-alt-simplified [77] 0.2% ----------------------------------------------------------------------------------------- loop [39] 100.0% [55] 188466(24.1%) 0(0.0%) sidx->spoint ...develop/src/core/regimes.rkt:125:2 binary-search [68] 60.4% binary-search-floats [70] 39.6% ----------------------------------------------------------------------------------------- one-iter [19] 2.9% loop [41] 97.1% [56] 94466(12.1%) 2398(0.3%) apply-match ...develop/src/core/simplify.rkt:129:2 merge-egraph-nodes! [85] 34.1% match-e [69] 27.3% loop! [99] 10.6% for-loop [75] 10.3% update-leader! [96] 7.6% substitute-e [87] 3.2% mk-enode! [228] 3.1% reduce-to-single! [78] 1.1% ----------------------------------------------------------------------------------------- ??? [44] 100.0% [57] 24732(3.2%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [72] 85.8% loop [86] 14.2% ----------------------------------------------------------------------------------------- add-splitpoint [45] 100.0% [58] 21404(2.7%) 2032(0.3%) for-loop ...bie/develop/src/core/regimes.rkt:236:4 for-loop [73] 88.9% loop [79] 1.6% ----------------------------------------------------------------------------------------- for-loop [42] 100.0% [59] 20302(2.6%) 632(0.1%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [71] 83.6% expression-cost [76] 13.3% ----------------------------------------------------------------------------------------- for-loop [42] 100.0% [60] 6584(0.8%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 for-loop [71] 100.0% ----------------------------------------------------------------------------------------- for-loop [42] 100.0% [61] 4180(0.5%) 4180(0.5%) for-loop ...e/develop/src/core/simplify.rkt:190:13 ----------------------------------------------------------------------------------------- ??? [258] 17.5% for-loop [47] 82.5% [62] 3974(0.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:176:2 ??? [120] 100.0% ----------------------------------------------------------------------------------------- parse-loop12 [167] 14.9% map [153] 40.9% simplify [43] 44.2% [63] 2432(0.3%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:39:0 append-map [157] 57.4% f6 [140] 29.2% combine-aterms [80] 13.4% ----------------------------------------------------------------------------------------- for-loop [50] 10.2% append-map [157] 89.8% [64] 1624(0.2%) 0(0.0%) free-variables ...e/develop/src/programs.rkt:101:0 variable? [74] 69.2% ??? [182] 20.6% f6 [140] 10.2% ----------------------------------------------------------------------------------------- ??? [181] 36.6% simplify [43] 63.4% [65] 990(0.1%) 362(0.0%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [182] 32.9% ??? [216] 30.5% ----------------------------------------------------------------------------------------- run-improve50 [54] 100.0% [66] 330370(42.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [81] 99.9% ??? [154] 0.1% ----------------------------------------------------------------------------------------- run-improve50 [54] 100.0% [67] 278818(35.7%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [82] 100.0% ----------------------------------------------------------------------------------------- sidx->spoint [55] 100.0% [68] 113758(14.6%) 0(0.0%) binary-search ...rbie/develop/src/common.rkt:217:0 pred [83] 100.0% ----------------------------------------------------------------------------------------- apply-match [56] 15.4% for-loop [95] 24.9% for-loop [40] 59.7% [69] 107138(13.7%) 28482(3.6%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [84] 48.4% for-loop [95] 10.4% ??? [182] 8.1% variable? [74] 4.6% list-cartesian-product [100] 3.6% loop [236] 1.6% ----------------------------------------------------------------------------------------- sidx->spoint [55] 100.0% [70] 74708(9.6%) 0(0.0%) binary-search-floats ...velop/src/common.rkt:232:0 pred [83] 100.0% ----------------------------------------------------------------------------------------- loop [60] 28.0% argmin [59] 72.0% [71] 23556(3.0%) 1326(0.2%) for-loop .../herbie/develop/src/programs.rkt:200:2 ??? [181] 72.8% ...velop/src/common.rkt:47:2 [183] 20.0% ??? [170] 1.5% ----------------------------------------------------------------------------------------- copying-mergesort [72] 46.5% generic-sort/key [57] 53.5% [72] 21220(2.7%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [72] 46.5% loop [86] 41.7% jloop [11] 10.2% ----------------------------------------------------------------------------------------- for-loop [58] 100.0% [73] 19034(2.4%) 19034(2.4%) for-loop ...bie/develop/src/core/regimes.rkt:240:8 ----------------------------------------------------------------------------------------- pattern-substitute [197] 2.0% taylor [158] 2.0% f6 [140] 2.2% simplify* [185] 4.2% substitute-e [87] 4.5% free-variables [64] 8.1% match-e [69] 77.0% [74] 16012(2.1%) 334(0.0%) variable? ...e/develop/src/syntax/syntax.rkt:529:0 ??? [182] 97.9% ----------------------------------------------------------------------------------------- apply-match [56] 100.0% [75] 9748(1.2%) 360(0.0%) for-loop ...e/develop/src/core/simplify.rkt:143:10 loop! [99] 51.0% merge-egraph-nodes! [85] 24.1% mk-enode! [228] 10.7% substitute-e [87] 10.4% ----------------------------------------------------------------------------------------- argmin [59] 100.0% [76] 2698(0.3%) 302(0.0%) expression-cost .../develop/src/programs.rkt:199:0 compile [88] 88.8% ----------------------------------------------------------------------------------------- run-improve50 [54] 100.0% [77] 1080(0.1%) 0(0.0%) setup-alt-simplified .../develop/src/glue.rkt:48:0 simplify-alt [89] 100.0% ----------------------------------------------------------------------------------------- apply-match [56] 100.0% [78] 1050(0.1%) 690(0.1%) reduce-to-single! ...lop/src/core/egraph.rkt:324:0 for-loop [90] 34.3% ----------------------------------------------------------------------------------------- for-loop [58] 3.2% loop [79] 96.8% [79] 338(0.0%) 338(0.0%) loop ...hare/racket/collects/racket/list.rkt:154:2 loop [79] 96.8% ----------------------------------------------------------------------------------------- simplify-node [63] 100.0% [80] 326(0.0%) 0(0.0%) combine-aterms ...evelop/src/core/reduce.rkt:172:0 for-loop [91] 100.0% ----------------------------------------------------------------------------------------- get-final-combination [66] 100.0% [81] 330006(42.3%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:156:0 f6 [140] 99.8% ??? [182] 0.2% ----------------------------------------------------------------------------------------- for-loop [67] 100.0% [82] 278818(35.7%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [93] 77.0% gen-series! [97] 11.8% finalize-iter! [98] 8.9% choose-best-alt! [101] 1.2% gen-rewrites! [103] 0.9% ----------------------------------------------------------------------------------------- binary-search-floats [70] 39.6% binary-search [68] 60.4% [83] 188466(24.1%) 0(0.0%) pred ...herbie/develop/src/core/regimes.rkt:131:17 loop [92] 94.4% errors [94] 5.6% ----------------------------------------------------------------------------------------- match-e [69] 100.0% [84] 67932(8.7%) 19436(2.5%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [95] 55.9% list-cartesian-product [100] 8.3% loop [236] 6.1% foldl [253] 1.4% curried [263] 1.0% filter [252] 0.5% curry* [106] 0.5% ----------------------------------------------------------------------------------------- for-loop [104] 2.9% merge-egraph-nodes! [85] 3.7% for-loop [75] 6.8% apply-match [56] 86.6% [85] 34596(4.4%) 652(0.1%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [96] 72.8% for-loop [102] 8.5% loop! [99] 7.2% merge-egraph-nodes! [85] 3.7% enode-merge! [105] 3.0% for-loop [104] 2.9% ----------------------------------------------------------------------------------------- ??? [44] 16.1% generic-sort/key [57] 18.7% copying-mergesort [72] 65.2% [86] 18768(2.4%) 326(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [120] 93.0% ->flonum [165] 5.3% ----------------------------------------------------------------------------------------- for-loop [75] 20.8% substitute-e [87] 22.7% apply-match [56] 56.5% [87] 4088(0.5%) 336(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 mk-enode! [228] 51.3% substitute-e [87] 22.7% ??? [182] 9.0% variable? [74] 8.8% ----------------------------------------------------------------------------------------- expression-cost [76] 100.0% [88] 2396(0.3%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:176:0 hash-ref! [214] 100.0% ----------------------------------------------------------------------------------------- setup-alt-simplified [77] 100.0% [89] 1080(0.1%) 0(0.0%) simplify-alt ...s/herbie/develop/src/glue.rkt:75:0 ??? [181] 100.0% ----------------------------------------------------------------------------------------- reduce-to-single! [78] 100.0% [90] 360(0.0%) 360(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------------------------- combine-aterms [80] 100.0% [91] 326(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:174:4 hash-ref! [214] 100.0% ----------------------------------------------------------------------------------------- run-improve50 [54] 0.8% ??? [38] 34.9% pred [83] 64.3% [92] 276894(35.5%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 loop [108] 66.6% loop [121] 18.9% make-exacts* [122] 11.5% for-loop [112] 2.6% filter-exacts [117] 0.1% ----------------------------------------------------------------------------------------- run-iter! [82] 100.0% [93] 214682(27.5%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [107] 100.0% ----------------------------------------------------------------------------------------- override-at-pnts [231] 1.1% composed [202] 2.8% pred [83] 8.6% option-on-expr [2] 9.4% best-and-tied-at-points [226] 18.0% loop [236] 60.2% [94] 122636(15.7%) 328(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [109] 79.1% eval-prog [132] 20.6% ----------------------------------------------------------------------------------------- match-e [69] 32.0% for-loop [84] 68.0% [95] 55750(7.1%) 3714(0.5%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [69] 86.2% ??? [113] 7.7% ----------------------------------------------------------------------------------------- apply-match [56] 21.1% merge-egraph-nodes! [85] 78.9% [96] 33986(4.4%) 4084(0.5%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [111] 83.1% update-en-expr [169] 3.9% ----------------------------------------------------------------------------------------- run-iter! [82] 100.0% [97] 32818(4.2%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [110] 100.0% ----------------------------------------------------------------------------------------- run-iter! [82] 100.0% [98] 24808(3.2%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [182] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [85] 12.4% for-loop [75] 17.4% loop [236] 32.2% apply-match [56] 38.0% [99] 17986(2.3%) 4622(0.6%) loop! ...s/herbie/develop/src/core/enode.rkt:163:2 loop [236] 34.0% custom-set-union [126] 29.1% set [249] 13.8% update-en-expr [169] 6.5% ----------------------------------------------------------------------------------------- match-e [69] 25.5% list-cartesian-product [100] 28.1% for-loop [84] 46.4% [100] 11180(1.4%) 9796(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [100] 28.1% for-loop [115] 12.4% ----------------------------------------------------------------------------------------- run-iter! [82] 100.0% [101] 3400(0.4%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:115:0 ??? [182] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [102] 3110(0.4%) 2788(0.4%) for-loop ...rbie/develop/src/core/egraph.rkt:232:6 update-en-expr [169] 10.4% ----------------------------------------------------------------------------------------- run-iter! [82] 100.0% [103] 2452(0.3%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:142:0 for-loop [114] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [104] 2098(0.3%) 0(0.0%) for-loop ...bie/develop/src/core/egraph.rkt:200:10 merge-egraph-nodes! [85] 100.0% ----------------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [105] 1024(0.1%) 0(0.0%) enode-merge! ...e/develop/src/core/enode.rkt:100:0 custom-set-intersect! [116] 68.2% adopt-enode! [119] 31.8% ----------------------------------------------------------------------------------------- for-loop [84] 100.0% [106] 334(0.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [118] 100.0% ----------------------------------------------------------------------------------------- simplify! [93] 97.9% [107] 219214(28.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [38] 100.0% ----------------------------------------------------------------------------------------- loop [92] 100.0% [108] 184390(23.6%) 350(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 eval-prog [132] 75.4% loop [121] 13.1% make-exacts* [122] 11.2% ----------------------------------------------------------------------------------------- errors [94] 100.0% [109] 97012(12.4%) 3756(0.5%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [120] 89.1% ulp-difference [127] 3.4% ->flonum [165] 3.2% ??? [259] 0.3% ----------------------------------------------------------------------------------------- gen-series! [97] 100.0% [110] 32818(4.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [123] 100.0% ----------------------------------------------------------------------------------------- update-leader! [96] 100.0% [111] 28236(3.6%) 686(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [124] 97.6% ----------------------------------------------------------------------------------------- loop [92] 100.0% [112] 7204(0.9%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:200:24 for-loop [125] 100.0% ----------------------------------------------------------------------------------------- for-loop [40] 7.2% for-loop [95] 92.8% [113] 4628(0.6%) 2296(0.3%) ??? ...ies/herbie/develop/src/core/ematch.rkt:50:5 for-loop [129] 50.4% ----------------------------------------------------------------------------------------- gen-rewrites! [103] 100.0% [114] 2452(0.3%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:147:11 ??? [128] 100.0% ----------------------------------------------------------------------------------------- list-cartesian-product [100] 100.0% [115] 1384(0.2%) 1384(0.2%) for-loop ...erbie/develop/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------------------------- enode-merge! [105] 100.0% [116] 698(0.1%) 358(0.0%) custom-set-intersect! ...ivate/set-types.rkt:269:0 for-loop [130] 48.7% ----------------------------------------------------------------------------------------- loop [92] 100.0% [117] 338(0.0%) 0(0.0%) filter-exacts ...rbie/develop/src/points.rkt:166:0 for-loop [131] 100.0% ----------------------------------------------------------------------------------------- curry* [106] 100.0% [118] 334(0.0%) 334(0.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------------------------- enode-merge! [105] 100.0% [119] 326(0.0%) 0(0.0%) adopt-enode! ...ie/develop/src/core/enode.rkt:76:0 custom-set-union [126] 100.0% ----------------------------------------------------------------------------------------- ??? [62] 1.7% jloop [11] 3.2% loop [86] 7.5% map [153] 9.5% for-loop [109] 36.9% loop [236] 41.1% [120] 234234(30.0%) 4604(0.6%) ??? ...tlies/herbie/develop/src/programs.rkt:155:4 ??? [133] 67.8% loop [236] 11.7% ??? [247] 11.4% ->flonum [165] 7.2% ----------------------------------------------------------------------------------------- loop [108] 31.6% loop [92] 68.4% [121] 76682(9.8%) 676(0.1%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [153] 99.1% ----------------------------------------------------------------------------------------- loop [108] 39.4% loop [92] 60.6% [122] 52532(6.7%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 map [153] 48.7% loop [236] 45.9% eval-prog [132] 5.5% ----------------------------------------------------------------------------------------- for-loop [110] 100.0% [123] 32818(4.2%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:133:0 for-loop [134] 100.0% ----------------------------------------------------------------------------------------- for-loop [111] 100.0% [124] 27550(3.5%) 744(0.1%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [135] 97.3% ----------------------------------------------------------------------------------------- for-loop [112] 100.0% [125] 7204(0.9%) 1402(0.2%) for-loop ...s/herbie/develop/src/points.rkt:201:26 ??? [154] 75.9% ??? [256] 4.6% ----------------------------------------------------------------------------------------- adopt-enode! [119] 5.5% loop! [99] 94.5% [126] 5902(0.8%) 1940(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [136] 61.4% for-loop [139] 5.7% ----------------------------------------------------------------------------------------- for-loop [109] 100.0% [127] 3310(0.4%) 2358(0.3%) ulp-difference ...erbie/develop/src/float.rkt:19:0 return/no-unsupplied [239] 19.8% ??? [216] 9.0% ----------------------------------------------------------------------------------------- for-loop [114] 100.0% [128] 2452(0.3%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:88:0 rewriter [137] 100.0% ----------------------------------------------------------------------------------------- ??? [113] 100.0% [129] 2332(0.3%) 1700(0.2%) for-loop ...erbie/develop/src/core/ematch.rkt:51:7 ??? [182] 27.1% ----------------------------------------------------------------------------------------- custom-set-intersect! [116] 100.0% [130] 340(0.0%) 340(0.0%) for-loop ...cts/racket/private/set-types.rkt:272:4 ----------------------------------------------------------------------------------------- filter-exacts [117] 100.0% [131] 338(0.0%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:169:4 loop [138] 100.0% ----------------------------------------------------------------------------------------- point->alt [51] 0.2% sindices->spoints [20] 0.4% make-exacts* [122] 1.7% errors [94] 15.0% loop [108] 82.7% [132] 168280(21.6%) 28334(3.6%) eval-prog ...herbie/develop/src/programs.rkt:149:0 hash-ref! [214] 56.2% f6 [140] 22.3% ??? [154] 1.8% ??? [149] 1.1% ??? [151] 0.8% go [152] 0.6% parse-app [188] 0.4% ----------------------------------------------------------------------------------------- ??? [120] 100.0% [133] 158720(20.3%) 73960(9.5%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [155] 15.7% bf* [142] 15.1% ??? [143] 10.6% ??? [144] 7.7% ??? [145] 2.1% ...higher-order.rkt:346:33 [146] 2.1% ----------------------------------------------------------------------------------------- taylor-alt [123] 100.0% [134] 32818(4.2%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:135:2 ??? [154] 100.0% ----------------------------------------------------------------------------------------- for-loop [124] 100.0% [135] 26806(3.4%) 368(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [141] 98.6% ----------------------------------------------------------------------------------------- custom-set-union [126] 100.0% [136] 3626(0.5%) 360(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [147] 90.1% ----------------------------------------------------------------------------------------- ??? [128] 45.9% matcher [159] 54.1% [137] 2452(0.3%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:127:2 for-loop [148] 61.6% *rules* [150] 38.4% ----------------------------------------------------------------------------------------- for-loop [131] 100.0% [138] 338(0.0%) 338(0.0%) loop ...cket/collects/racket/private/map.rkt:81:23 ----------------------------------------------------------------------------------------- custom-set-union [126] 100.0% [139] 336(0.0%) 336(0.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------------------------- free-variables [64] 0.0% for-loop [36] 0.0% for-loop [50] 0.0% for-loop [192] 0.0% composed [202] 0.1% approximate9 [4] 0.1% simplify-node [63] 0.1% loop [236] 0.1% ??? [250] 0.2% append-map [157] 0.4% parse-loop12 [167] 0.4% hash-ref! [214] 0.4% eval-const-expr [31] 0.6% simplify [43] 2.3% eval-prog [132] 2.5% map [153] 2.8% f6 [140] 6.8% split-table [81] 83.2% [140] 362286(46.4%) 5984(0.8%) f6 ...et/collects/racket/match/compiler.rkt:507:40 loop [236] 81.6% f6 [140] 6.8% map [153] 5.3% ??? [154] 2.5% option-on-expr [2] 1.6% append-map [157] 0.4% ??? [182] 0.3% ...velop/src/common.rkt:47:2 [183] 0.2% taylor-quotient [12] 0.2% parse-loop12 [167] 0.1% parse-app [188] 0.1% taylor [158] 0.1% ??? [170] 0.1% composed [202] 0.1% combine-mterms [16] 0.1% taylor-sqrt [48] 0.0% taylor-log [17] 0.0% variable? [74] 0.0% ----------------------------------------------------------------------------------------- hash-update! [135] 100.0% [141] 26438(3.4%) 982(0.1%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [156] 95.1% make-sequence [164] 1.2% ----------------------------------------------------------------------------------------- ??? [133] 100.0% [142] 23892(3.1%) 752(0.1%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [155] 96.9% ----------------------------------------------------------------------------------------- ??? [133] 100.0% [143] 16754(2.1%) 7614(1.0%) ??? ...herbie/develop/src/syntax/syntax.rkt:118:17 ??? [216] 31.4% return/no-unsupplied [239] 23.1% ----------------------------------------------------------------------------------------- ??? [133] 100.0% [144] 12154(1.6%) 12154(1.6%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ----------------------------------------------------------------------------------------- ??? [133] 100.0% [145] 3400(0.4%) 1978(0.3%) ??? ...ects/racket/contract/private/prop.rkt:493:4 ??? [161] 41.8% ----------------------------------------------------------------------------------------- ??? [133] 100.0% [146] 3316(0.4%) 1560(0.2%) ...higher-order.rkt:346:33 (unknown source) ??? [217] 53.0% ----------------------------------------------------------------------------------------- for-loop [136] 100.0% [147] 3266(0.4%) 3266(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------------------------- rewriter [137] 100.0% [148] 2116(0.3%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:130:10 matcher [159] 100.0% ----------------------------------------------------------------------------------------- eval-prog [132] 100.0% [149] 1768(0.2%) 330(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [160] 81.3% ----------------------------------------------------------------------------------------- rewriter [137] 100.0% [150] 1768(0.2%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:455:0 for-loop [220] 60.2% flag-set? [229] 39.8% ----------------------------------------------------------------------------------------- eval-prog [132] 100.0% [151] 1378(0.2%) 360(0.0%) ??? ...cket/collects/racket/private/kw.rkt:1633:36 unpack242 [162] 73.9% ----------------------------------------------------------------------------------------- eval-prog [132] 100.0% [152] 996(0.1%) 324(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [163] 67.5% ----------------------------------------------------------------------------------------- ??? [250] 0.1% parse-loop12 [167] 0.3% for-loop [49] 0.6% make-exacts* [122] 19.7% f6 [140] 20.7% loop [121] 58.6% [153] 129730(16.6%) 2112(0.3%) map ...acket/collects/racket/private/map.rkt:20:13 loop [236] 59.8% ??? [120] 17.2% f6 [140] 11.9% parse-loop12 [167] 5.2% ??? [250] 1.9% ->flonum [165] 1.2% simplify* [185] 1.0% loop [39] 0.6% taylor-invert [176] 0.4% simplify-node [63] 0.3% ----------------------------------------------------------------------------------------- get-final-combination [66] 0.5% eval-prog [132] 3.7% ??? [204] 4.3% for-loop [125] 6.4% ??? [225] 12.2% ??? [181] 14.5% for-loop [134] 14.5% f6 [140] 43.6% [154] 79864(10.2%) 3250(0.4%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [181] 36.4% approximate9 [4] 14.5% ??? [168] 14.1% hash-ref! [214] 12.2% ...velop/src/common.rkt:47:2 [183] 5.5% ??? [170] 5.0% best-alt [171] 4.3% ->bf [172] 3.3% ??? [256] 0.4% ->flonum [165] 0.4% ??? [247] 0.4% ----------------------------------------------------------------------------------------- bf* [142] 48.2% ??? [133] 51.8% [155] 48020(6.2%) 9792(1.3%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfsub [166] 74.9% bfsqrt [174] 4.7% ----------------------------------------------------------------------------------------- ??? [141] 100.0% [156] 25134(3.2%) 22370(2.9%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 update-en-expr [169] 11.0% ----------------------------------------------------------------------------------------- simplify-node [63] 34.6% f6 [140] 65.4% [157] 4038(0.5%) 658(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [140] 52.6% parse-loop12 [167] 26.7% loop [178] 8.9% free-variables [64] 8.4% ----------------------------------------------------------------------------------------- ??? [250] 11.3% f6 [140] 88.7% [158] 2680(0.3%) 304(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 debug-print [173] 38.4% loop [236] 38.1% variable? [74] 12.2% ----------------------------------------------------------------------------------------- matcher [159] 16.9% for-loop [175] 33.8% for-loop [148] 49.3% [159] 2116(0.3%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:163:2 rewriter [137] 45.1% for-loop [175] 33.8% matcher [159] 16.9% for-loop [177] 4.2% ----------------------------------------------------------------------------------------- ??? [149] 100.0% [160] 1438(0.2%) 1438(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ----------------------------------------------------------------------------------------- ??? [145] 100.0% [161] 1422(0.2%) 1422(0.2%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ----------------------------------------------------------------------------------------- ??? [151] 100.0% [162] 1018(0.1%) 688(0.1%) unpack242 ...private/arrow-higher-order.rkt:354:44 maybe-cons-kwd [179] 32.4% ----------------------------------------------------------------------------------------- go [152] 23.3% loop [163] 76.7% [163] 672(0.1%) 672(0.1%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [163] 76.7% ----------------------------------------------------------------------------------------- ??? [141] 100.0% [164] 322(0.0%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:509:2 ??? [180] 100.0% ----------------------------------------------------------------------------------------- ??? [154] 0.8% for-loop [13] 0.8% loop [86] 2.3% jloop [11] 2.5% map [153] 4.1% for-loop [109] 7.4% ??? [120] 40.0% loop [236] 42.1% [165] 42328(5.4%) 19488(2.5%) ->flonum ...s/herbie/develop/src/programs.rkt:37:0 return/no-unsupplied [239] 27.7% ??? [216] 21.6% ??? [193] 2.4% list-member? [194] 2.2% ----------------------------------------------------------------------------------------- ??? [155] 100.0% [166] 35986(4.6%) 19854(2.5%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [268] 44.8% ----------------------------------------------------------------------------------------- loop [236] 1.9% hash-ref! [214] 2.0% append-map [157] 3.6% f6 [140] 4.2% simplify [43] 8.4% parse-loop12 [167] 12.8% for-loop [32] 13.3% map [153] 53.7% [167] 16494(2.1%) 8634(1.1%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 f6 [140] 14.0% for-loop [187] 13.3% parse-loop12 [167] 12.8% loop [236] 6.8% map [153] 5.8% parse-app [188] 2.9% for-loop [192] 2.8% make-multiplication-node [207] 2.2% simplify* [185] 1.3% simplify-node [63] 0.7% ??? [250] 0.3% ----------------------------------------------------------------------------------------- ??? [217] 2.4% ??? [182] 4.4% ??? [216] 9.0% ??? [205] 9.2% ??? [154] 75.0% [168] 15016(1.9%) 1742(0.2%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [182] 75.0% contract? [191] 9.2% dict? [208] 4.3% ----------------------------------------------------------------------------------------- for-loop [102] 4.7% update-leader! [96] 19.4% loop! [99] 35.8% for-loop [156] 40.1% [169] 6900(0.9%) 6542(0.8%) update-en-expr ...evelop/src/core/egraph.rkt:211:0 for-loop [195] 5.2% ----------------------------------------------------------------------------------------- f6 [140] 6.5% for-loop [71] 7.7% ??? [154] 85.8% [170] 4636(0.6%) 2346(0.3%) ??? ...ts/racket/contract/private/arr-i.rkt:804:10 ??? [189] 35.4% ??? [269] 7.0% coerce-contract [198] 7.0% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [171] 3400(0.4%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:70:0 loop [186] 100.0% ----------------------------------------------------------------------------------------- ??? [154] 100.0% [172] 2608(0.3%) 0(0.0%) ->bf ...tlies/herbie/develop/src/programs.rkt:52:0 ??? [181] 62.0% ...velop/src/common.rkt:47:2 [183] 25.1% ??? [182] 13.0% ----------------------------------------------------------------------------------------- iterate-egraph!13 [3] 12.8% taylor [158] 43.1% simplify [43] 44.1% [173] 2384(0.3%) 970(0.1%) debug-print .../herbie/develop/src/debug.rkt:107:0 for-loop [190] 59.3% ----------------------------------------------------------------------------------------- ??? [155] 100.0% [174] 2242(0.3%) 1086(0.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [268] 51.6% ----------------------------------------------------------------------------------------- matcher [159] 100.0% [175] 1790(0.2%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:179:21 matcher [159] 100.0% ----------------------------------------------------------------------------------------- map [153] 100.0% [176] 1050(0.1%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:312:0 first-nonzero-exp [184] 69.0% simplify [43] 31.0% ----------------------------------------------------------------------------------------- matcher [159] 100.0% [177] 684(0.1%) 0(0.0%) for-loop ...bie/develop/src/core/matcher.rkt:155:6 pattern-match [196] 52.3% pattern-substitute [197] 47.7% ----------------------------------------------------------------------------------------- append-map [157] 100.0% [178] 360(0.0%) 360(0.0%) loop ...are/racket/collects/racket/list.rkt:414:34 ----------------------------------------------------------------------------------------- unpack242 [162] 100.0% [179] 330(0.0%) 0(0.0%) maybe-cons-kwd ...ate/arrow-higher-order.rkt:498:0 successfully-got-the-right-kind-of-function [271]100.0% ----------------------------------------------------------------------------------------- make-sequence [164] 100.0% [180] 322(0.0%) 322(0.0%) ??? ...acket/collects/racket/private/for.rkt:429:7 ----------------------------------------------------------------------------------------- simplify-alt [89] 0.2% ->bf [172] 0.5% for-loop [71] 1.9% ??? [181] 7.0% ??? [154] 15.1% for-loop [199] 35.2% ??? [38] 39.9% [181] 294196(37.7%) 7854(1.0%) ??? ...llects/racket/private/norm-define.rkt:53:83 iterate-egraph!13 [3] 35.6% for-loop [199] 35.3% ??? [154] 9.1% ??? [181] 7.0% ??? [248] 4.8% loop [5] 4.4% loop [206] 0.8% return/no-unsupplied [239] 0.3% ??? [216] 0.2% ??? [255] 0.2% *simplify-rules* [211] 0.1% ??? [217] 0.1% debug7 [65] 0.1% mk-egraph [213] 0.1% dict? [208] 0.0% ----------------------------------------------------------------------------------------- debug7 [65] 0.4% free-variables [64] 0.4% ->bf [172] 0.4% for-loop [129] 0.8% split-table [81] 0.9% substitute-e [87] 1.2% f6 [140] 2.7% choose-best-alt! [101] 4.4% ??? [168] 14.4% variable? [74] 20.3% match-e [69] 22.2% finalize-iter! [98] 31.9% [182] 77320(9.9%) 26202(3.4%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [200] 31.4% hash-has-key? [238] 28.1% ??? [204] 4.4% split-atab [209] 0.9% ??? [168] 0.9% ----------------------------------------------------------------------------------------- ->bf [172] 6.2% f6 [140] 6.9% ??? [154] 41.9% for-loop [71] 45.0% [183] 10476(1.3%) 4112(0.5%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [203] 34.4% ??? [205] 26.3% ----------------------------------------------------------------------------------------- taylor-invert [176] 9.5% taylor-sqrt [48] 17.8% taylor-quotient [12] 72.7% [184] 7628(1.0%) 0(0.0%) first-nonzero-exp ...lop/src/core/taylor.rkt:260:0 hash-ref! [214] 100.0% ----------------------------------------------------------------------------------------- parse-loop12 [167] 14.1% simplify [43] 15.4% map [153] 70.5% [185] 4458(0.6%) 1348(0.2%) simplify* ...rbie/develop/src/core/reduce.rkt:20:0 hash-ref! [214] 39.3% variable? [74] 15.0% ??? [210] 8.1% return/no-unsupplied [239] 7.3% ----------------------------------------------------------------------------------------- best-alt [171] 100.0% [186] 3400(0.4%) 0(0.0%) loop ...htlies/herbie/develop/src/common.rkt:142:2 composed [202] 100.0% ----------------------------------------------------------------------------------------- parse-loop12 [167] 100.0% [187] 2808(0.4%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:490:59 hash-ref! [214] 88.1% ??? [201] 11.9% ----------------------------------------------------------------------------------------- parse-loop12 [167] 26.3% f6 [140] 29.4% eval-prog [132] 30.4% [188] 2374(0.3%) 2374(0.3%) parse-app .../collects/racket/private/kw.rkt:951:2 ----------------------------------------------------------------------------------------- ??? [170] 100.0% [189] 1640(0.2%) 1640(0.2%) ??? ...private/unconstrained-domain-arrow.rkt:69:2 ----------------------------------------------------------------------------------------- debug-print [173] 100.0% [190] 1414(0.2%) 1414(0.2%) for-loop ...ies/herbie/develop/src/debug.rkt:113:2 ----------------------------------------------------------------------------------------- ??? [168] 100.0% [191] 1374(0.2%) 1040(0.1%) contract? ...acket/contract/private/guts.rkt:109:0 coerce-contract/f4 [212] 24.3% ----------------------------------------------------------------------------------------- parse-loop12 [167] 100.0% [192] 1036(0.1%) 358(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:88:13 f6 [140] 34.9% make-multiplication-node [207] 30.5% ----------------------------------------------------------------------------------------- ->flonum [165] 100.0% [193] 1012(0.1%) 334(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:60:15 ??? [268] 67.0% ----------------------------------------------------------------------------------------- ->flonum [165] 100.0% [194] 944(0.1%) 944(0.1%) list-member? ...llects/racket/private/set.rkt:24:0 ----------------------------------------------------------------------------------------- update-en-expr [169] 100.0% [195] 358(0.0%) 358(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:213:6 ----------------------------------------------------------------------------------------- for-loop [177] 100.0% [196] 358(0.0%) 358(0.0%) pattern-match ...develop/src/core/matcher.rkt:47:0 ----------------------------------------------------------------------------------------- pattern-substitute [197] 50.0% for-loop [177] 50.0% [197] 326(0.0%) 0(0.0%) pattern-substitute ...op/src/core/matcher.rkt:72:0 pattern-substitute [197] 50.0% variable? [74] 50.0% ----------------------------------------------------------------------------------------- ??? [170] 100.0% [198] 324(0.0%) 324(0.0%) coerce-contract ...contract/private/guts.rkt:257:0 ----------------------------------------------------------------------------------------- ??? [181] 100.0% [199] 212598(27.2%) 326(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 ??? [181] 99.8% ----------------------------------------------------------------------------------------- ??? [182] 100.0% [200] 24450(3.1%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [215] 100.0% ----------------------------------------------------------------------------------------- for-loop [187] 2.4% ??? [7] 17.9% for-loop [26] 79.7% [201] 13728(1.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:288:19 hash-ref! [214] 100.0% ----------------------------------------------------------------------------------------- f6 [140] 36.8% loop [186] 63.2% [202] 5376(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [94] 63.2% f6 [140] 36.8% ----------------------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [183] 100.0% [203] 3604(0.5%) 1010(0.1%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 return/no-unsupplied [239] 44.9% ??? [216] 27.1% ----------------------------------------------------------------------------------------- ??? [182] 100.0% [204] 3400(0.4%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [154] 100.0% ----------------------------------------------------------------------------------------- for-loop [232] 6.5% ??? [217] 18.4% ...velop/src/common.rkt:47:2 [183] 75.1% [205] 2760(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [217] 75.1% ??? [168] 24.9% ----------------------------------------------------------------------------------------- ??? [181] 100.0% [206] 2256(0.3%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:66:6 random-exp [218] 100.0% ----------------------------------------------------------------------------------------- for-loop [192] 18.3% parse-loop12 [167] 20.9% simplify [43] 60.8% [207] 1726(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:219:0 make-multiplication-subnode [219] 100.0% ----------------------------------------------------------------------------------------- ??? [181] 36.4% ??? [168] 63.6% [208] 1010(0.1%) 1010(0.1%) dict? ...ollects/racket/private/generic.rkt:146:11 ----------------------------------------------------------------------------------------- ??? [182] 100.0% [209] 694(0.1%) 0(0.0%) split-atab .../develop/src/core/alt-table.rkt:74:0 for-loop [221] 100.0% ----------------------------------------------------------------------------------------- simplify* [185] 100.0% [210] 362(0.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [227] 100.0% ----------------------------------------------------------------------------------------- ??? [181] 100.0% [211] 360(0.0%) 0(0.0%) *simplify-rules* ...lop/src/syntax/rules.rkt:459:0 for-loop [220] 100.0% ----------------------------------------------------------------------------------------- contract? [191] 100.0% [212] 334(0.0%) 334(0.0%) coerce-contract/f4 ...tract/private/guts.rkt:299:0 ----------------------------------------------------------------------------------------- ??? [181] 100.0% [213] 322(0.0%) 0(0.0%) mk-egraph ...bie/develop/src/core/egraph.rkt:123:0 expr->enode [222] 100.0% ----------------------------------------------------------------------------------------- for-loop [34] 0.0% for-loop [91] 0.0% taylor-sqrt [48] 0.1% for-loop [33] 0.1% for-loop [187] 0.1% simplify* [185] 0.2% ??? [250] 0.2% ??? [9] 0.4% for-loop [46] 0.7% ??? [224] 0.8% for-loop [27] 0.8% for-loop [26] 0.8% first-nonzero-exp [184] 0.8% compile [88] 1.1% ??? [7] 1.4% ??? [201] 1.7% ??? [154] 2.7% loop [22] 2.7% for-loop [24] 4.4% ??? [225] 6.5% eval-prog [132] 23.3% loop [236] 50.8% [214] 127826(16.4%) 11066(1.4%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [224] 51.6% bigfloat-hash [223] 21.6% ??? [225] 9.3% ??? [6] 4.5% simplify [43] 2.4% ??? [8] 2.3% ??? [7] 1.7% ??? [9] 1.3% f6 [140] 1.0% ??? [10] 0.8% parse-loop12 [167] 0.2% ??? [14] 0.1% ??? [15] 0.1% ----------------------------------------------------------------------------------------- for-loop [200] 98.6% [215] 24808(3.2%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [226] 94.5% override-at-pnts [231] 5.5% ----------------------------------------------------------------------------------------- ulp-difference [127] 1.8% debug7 [65] 1.8% ??? [181] 4.0% ??? [203] 5.9% ??? [143] 31.6% ->flonum [165] 55.0% [216] 16668(2.1%) 5940(0.8%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [227] 56.2% ??? [168] 8.1% ----------------------------------------------------------------------------------------- ??? [181] 6.3% ...higher-order.rkt:346:33 [146] 36.4% ??? [205] 57.3% [217] 4818(0.6%) 2780(0.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [205] 21.1% for-loop [232] 13.7% ??? [168] 7.5% ----------------------------------------------------------------------------------------- loop [206] 100.0% [218] 2256(0.3%) 2256(0.3%) random-exp .../herbie/develop/src/common.rkt:242:0 ----------------------------------------------------------------------------------------- make-multiplication-node [207] 100.0% [219] 1726(0.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:229:0 group-by68 [230] 81.7% for-loop [235] 18.3% ----------------------------------------------------------------------------------------- *simplify-rules* [211] 25.3% *rules* [150] 74.7% [220] 1424(0.2%) 326(0.0%) for-loop ...ies/herbie/develop/src/common.rkt:94:9 flag-set? [229] 77.1% ----------------------------------------------------------------------------------------- split-atab [209] 100.0% [221] 694(0.1%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:75:2 for-loop [233] 51.6% for-loop [234] 48.4% ----------------------------------------------------------------------------------------- mk-egraph [213] 33.3% expr->enode [222] 66.7% [222] 322(0.0%) 0(0.0%) expr->enode ...e/develop/src/core/egraph.rkt:124:2 expr->enode [222] 66.7% mk-enode! [228] 33.3% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [223] 87700(11.2%) 1770(0.2%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [237] 84.7% sig+exp->bigfloat [240] 10.4% bigfloat->sig+exp [251] 2.8% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [224] 86808(11.1%) 334(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:184:5 loop [236] 97.9% hash-ref! [214] 2.0% ----------------------------------------------------------------------------------------- hash-ref! [214] 100.0% [225] 29152(3.7%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 hash-ref! [214] 65.6% ??? [154] 34.4% ----------------------------------------------------------------------------------------- atab-add-altn [215] 100.0% [226] 23454(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [94] 94.1% for-loop [242] 5.9% ----------------------------------------------------------------------------------------- ??? [210] 3.7% ??? [216] 96.3% [227] 9732(1.2%) 9404(1.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ??? [245] 3.4% ----------------------------------------------------------------------------------------- expr->enode [222] 5.0% for-loop [75] 16.3% substitute-e [87] 32.6% apply-match [56] 46.1% [228] 6432(0.8%) 3740(0.5%) mk-enode! ...bie/develop/src/core/egraph.rkt:101:0 new-enode [241] 31.5% hash-has-key? [238] 10.4% ----------------------------------------------------------------------------------------- *rules* [150] 39.1% for-loop [220] 60.9% [229] 1802(0.2%) 1064(0.1%) flag-set? ...es/herbie/develop/src/config.rkt:32:0 return/no-unsupplied [239] 41.0% ----------------------------------------------------------------------------------------- rle [52] 17.4% make-multiplication-subnode [219] 82.6% [230] 1708(0.2%) 984(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [244] 42.4% ----------------------------------------------------------------------------------------- atab-add-altn [215] 100.0% [231] 1354(0.2%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [94] 100.0% ----------------------------------------------------------------------------------------- ??? [217] 100.0% [232] 660(0.1%) 302(0.0%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [205] 54.2% ----------------------------------------------------------------------------------------- for-loop [221] 100.0% [233] 358(0.0%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:80:53 loop [243] 100.0% ----------------------------------------------------------------------------------------- for-loop [221] 100.0% [234] 336(0.0%) 0(0.0%) for-loop ...e/develop/src/core/alt-table.rkt:76:45 ??? [258] 100.0% ----------------------------------------------------------------------------------------- make-multiplication-subnode [219] 100.0% [235] 316(0.0%) 0(0.0%) for-loop ...rbie/develop/src/core/reduce.rkt:231:3 compose [246] 100.0% ----------------------------------------------------------------------------------------- map-enodes [29] 0.1% make-exacts* [122] 0.1% taylor [158] 0.2% match-e [69] 0.4% parse-loop12 [167] 0.4% for-loop [84] 0.6% loop! [99] 0.8% map [153] 1.3% ??? [120] 1.5% option-on-expr [2] 2.7% ??? [224] 10.8% f6 [140] 19.7% loop [236] 61.3% [236] 445338(57.1%) 9028(1.2%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [236] 61.3% option-on-expr [2] 19.7% hash-ref! [214] 10.8% errors [94] 2.7% ??? [120] 1.2% ->flonum [165] 1.2% loop! [99] 0.8% ??? [247] 0.3% f6 [140] 0.2% simplify [43] 0.2% parse-loop12 [167] 0.2% for-loop [13] 0.1% foldl [253] 0.1% curried [263] 0.1% ??? [250] 0.1% ??? [256] 0.0% ----------------------------------------------------------------------------------------- bigfloat-hash [223] 100.0% [237] 74314(9.5%) 71554(9.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [251] 3.7% ----------------------------------------------------------------------------------------- mk-enode! [228] 3.0% ??? [182] 97.0% [238] 22524(2.9%) 8212(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [248] 54.5% ??? [255] 9.1% ----------------------------------------------------------------------------------------- simplify* [185] 1.6% ulp-difference [127] 3.3% flag-set? [229] 3.7% ??? [181] 5.1% ??? [203] 8.1% ??? [143] 19.4% ->flonum [165] 58.8% [239] 19950(2.6%) 15930(2.0%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [252] 20.2% ----------------------------------------------------------------------------------------- bigfloat-hash [223] 100.0% [240] 9140(1.2%) 5786(0.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [254] 36.7% ----------------------------------------------------------------------------------------- mk-enode! [228] 100.0% [241] 2024(0.3%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:68:0 set [249] 51.0% mutable-set [257] 49.0% ----------------------------------------------------------------------------------------- best-and-tied-at-points [226] 100.0% [242] 1394(0.2%) 1066(0.1%) for-loop .../develop/src/core/alt-table.rkt:124:16 ??? [259] 23.5% ----------------------------------------------------------------------------------------- for-loop [233] 34.2% one-iter [19] 65.8% [243] 1046(0.1%) 688(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [258] 34.2% ----------------------------------------------------------------------------------------- group-by68 [230] 100.0% [244] 724(0.1%) 724(0.1%) hash-update ...cket/private/more-scheme.rkt:356:13 ----------------------------------------------------------------------------------------- ??? [227] 100.0% [245] 328(0.0%) 328(0.0%) ??? ...ects/racket/contract/private/prop.rkt:256:4 ----------------------------------------------------------------------------------------- for-loop [235] 100.0% [246] 316(0.0%) 316(0.0%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------------------------- ??? [154] 0.9% loop [236] 26.8% ??? [120] 72.3% [247] 36802(4.7%) 1482(0.2%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [260] 95.1% ----------------------------------------------------------------------------------------- hash-has-key? [238] 36.0% ??? [181] 64.0% [248] 34070(4.4%) 12422(1.6%) ??? ...ects/racket/contract/private/list.rkt:737:4 for-loop [261] 49.8% ??? [269] 8.7% do-chaperone-procedure [265] 2.0% successfully-got-the-right-kind-of-function [271] 2.0% ----------------------------------------------------------------------------------------- new-enode [241] 17.2% loop! [99] 82.8% [249] 6014(0.8%) 6014(0.8%) set ...collects/racket/private/set-types.rkt:981:0 ----------------------------------------------------------------------------------------- parse-loop12 [167] 0.8% ??? [10] 3.3% loop [236] 4.2% map [153] 91.7% [250] 5538(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f6 [140] 78.8% taylor-quotient [12] 6.5% taylor [158] 5.5% hash-ref! [214] 5.0% curried [263] 3.3% map [153] 0.8% ----------------------------------------------------------------------------------------- bigfloat-hash [223] 47.3% bfcanonicalize [237] 52.7% [251] 5236(0.7%) 3504(0.4%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [262] 26.4% size+limbs->integer [266] 6.7% ----------------------------------------------------------------------------------------- one-iter [19] 7.1% for-loop [84] 14.1% return/no-unsupplied [239] 78.9% [252] 5096(0.7%) 5096(0.7%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------------------------- loop [236] 47.6% for-loop [84] 52.4% [253] 3540(0.5%) 2218(0.3%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [264] 37.3% ----------------------------------------------------------------------------------------- sig+exp->bigfloat [240] 100.0% [254] 3354(0.4%) 3354(0.4%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ----------------------------------------------------------------------------------------- ??? [181] 24.4% hash-has-key? [238] 75.6% [255] 2704(0.3%) 2704(0.3%) ??? ...ects/racket/contract/private/hash.rkt:245:7 ----------------------------------------------------------------------------------------- for-loop [125] 32.7% loop [236] 32.9% ??? [154] 34.3% [256] 1020(0.1%) 1020(0.1%) ??? ...tract/private/arrow-higher-order.rkt:145:21 ----------------------------------------------------------------------------------------- new-enode [241] 100.0% [257] 992(0.1%) 656(0.1%) mutable-set .../racket/private/set-types.rkt:999:0 for-loop [267] 33.9% ----------------------------------------------------------------------------------------- for-loop [234] 48.4% loop [243] 51.6% [258] 694(0.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/regimes.rkt:283:4 ??? [62] 100.0% ----------------------------------------------------------------------------------------- for-loop [242] 50.0% for-loop [109] 50.0% [259] 656(0.1%) 656(0.1%) ??? ...ket/collects/racket/private/for.rkt:1151:14 ----------------------------------------------------------------------------------------- ??? [247] 100.0% [260] 35000(4.5%) 27196(3.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [268] 22.3% ----------------------------------------------------------------------------------------- ??? [248] 100.0% [261] 16982(2.2%) 11846(1.5%) for-loop ...acket/contract/private/list.rkt:743:12 ??? [269] 20.0% for-loop [270] 8.1% successfully-got-the-right-kind-of-function [271] 2.1% ----------------------------------------------------------------------------------------- bigfloat->sig+exp [251] 100.0% [262] 1380(0.2%) 1380(0.2%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ----------------------------------------------------------------------------------------- loop [236] 24.0% ??? [250] 26.5% for-loop [84] 49.5% [263] 1358(0.2%) 1358(0.2%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------------------------- foldl [253] 100.0% [264] 1322(0.2%) 1322(0.2%) merge2 .../herbie/develop/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------------------------- ??? [248] 100.0% [265] 684(0.1%) 684(0.1%) do-chaperone-procedure ...et/private/kw.rkt:1616:2 ----------------------------------------------------------------------------------------- bigfloat->sig+exp [251] 100.0% [266] 352(0.0%) 352(0.0%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ----------------------------------------------------------------------------------------- mutable-set [257] 100.0% [267] 336(0.0%) 336(0.0%) for-loop ...cts/racket/private/set-types.rkt:943:2 ----------------------------------------------------------------------------------------- ??? [193] 2.6% bfsqrt [174] 4.5% real->bigfloat [260] 30.3% bfsub [166] 62.6% [268] 25770(3.3%) 25770(3.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------------------------- ??? [170] 4.9% ??? [248] 44.3% for-loop [261] 50.9% [269] 6690(0.9%) 3674(0.5%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [274] 45.1% ----------------------------------------------------------------------------------------- for-loop [261] 100.0% [270] 1374(0.2%) 1042(0.1%) for-loop ...racket/contract/private/hash.rkt:239:6 ??? [273] 24.2% ----------------------------------------------------------------------------------------- maybe-cons-kwd [179] 24.1% for-loop [261] 26.3% ??? [248] 49.6% [271] 1370(0.2%) 690(0.1%) successfully-got-the-right-kind-of-function ...9:4 arity-checking-wrapper [272] 49.6% ----------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [271]100.0% [272] 680(0.1%) 320(0.0%) arity-checking-wrapper ...w-higher-order.rkt:402:0 make-keyword-procedure [274] 52.9% ----------------------------------------------------------------------------------------- for-loop [270] 100.0% [273] 332(0.0%) 332(0.0%) ??? ...ects/racket/contract/private/list.rkt:686:7 ----------------------------------------------------------------------------------------- arity-checking-wrapper [272] 10.7% ??? [269] 89.3% [274] 3376(0.4%) 3376(0.4%) make-keyword-procedure ...ket/private/kw.rkt:260:4 -----------------------------------------------------------------------------------------