Profiling results ----------------- Total cpu time observed: 143738ms (out of 145720ms) Number of samples taken: 608 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 185 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [53] 100.0% [1] 134798(93.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% -------------------------------------------------------------------------- ??? [53] 100.0% [2] 71038(49.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [15] 46.2% for-loop [16] 45.2% get-final-combination [20] 4.1% loop [59] 3.9% setup-prog [23] 0.6% -------------------------------------------------------------------------- simplify-alt [34] 1.4% loop [125] 8.8% ??? [53] 89.9% [3] 32844(22.8%) 114(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [14] 51.4% iterate-egraph!5 [26] 30.4% for-loop [18] 16.1% loop [30] 1.8% -------------------------------------------------------------------------- post-process [27] 1.9% loop [125] 98.1% [4] 21148(14.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [14] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [5] 4764(3.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [96] 82.7% ??? [33] 12.7% simplify [102] 4.6% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [6] 3136(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [7] 2710(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 100.0% -------------------------------------------------------------------------- loop [8] 23.3% location-do [153] 76.7% [8] 2666(1.9%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [17] 64.7% loop [8] 23.3% location-do [153] 12.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [9] 1086(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [22] 61.3% hash-ref! [96] 38.7% -------------------------------------------------------------------------- f94 [123] 100.0% [10] 424(0.3%) 222(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [25] 47.6% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [11] 422(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [24] 100.0% -------------------------------------------------------------------------- f94 [123] 100.0% [12] 202(0.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [102] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.5% [13] 135428(94.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [53] 100.0% -------------------------------------------------------------------------- simplify [3] 44.4% completely-simplify-alt [4] 55.6% [14] 38018(26.4%) 200(0.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [26] 88.5% loop [30] 11.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 32822(22.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 32090(22.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [28] 100.0% -------------------------------------------------------------------------- loop [8] 26.4% location-do [153] 73.6% [17] 7686(5.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [29] 72.9% f94 [123] 21.4% taylor-quotient [32] 2.9% taylor [127] 2.8% -------------------------------------------------------------------------- simplify [3] 100.0% [18] 5282(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [26] 91.6% mk-egraph [36] 4.2% loop [30] 4.2% -------------------------------------------------------------------------- ??? [6] 100.0% [19] 3136(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [96] 71.5% ??? [33] 25.0% simplify [102] 3.5% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 2880(2.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [31] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [21] 2710(1.9%) 200(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [96] 92.6% -------------------------------------------------------------------------- ??? [9] 100.0% [22] 666(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [96] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 446(0.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [34] 100.0% -------------------------------------------------------------------------- ??? [11] 100.0% [24] 422(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [35] 100.0% -------------------------------------------------------------------------- combine-mterms [10] 100.0% [25] 202(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [96] 100.0% -------------------------------------------------------------------------- for-loop [18] 10.0% simplify [3] 20.6% simplify-expr [14] 69.4% [26] 48462(33.7%) 418(0.3%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 93.1% map-enodes [41] 5.6% debug7 [110] 0.5% -------------------------------------------------------------------------- finalize-table! [15] 100.0% [27] 32822(22.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [125] 72.6% for-loop [39] 20.9% ??? [51] 4.6% completely-simplify-alt [4] 1.2% localize-error [132] 0.7% -------------------------------------------------------------------------- for-loop [16] 100.0% [28] 32090(22.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [38] 92.0% finalize-iter! [42] 4.0% gen-series! [43] 2.6% localize-error [132] 1.4% -------------------------------------------------------------------------- approximate9 [17] 100.0% [29] 5606(3.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [96] 100.0% -------------------------------------------------------------------------- for-loop [18] 4.4% simplify [3] 12.1% simplify-expr [14] 83.5% [30] 4994(3.5%) 202(0.1%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [40] 96.0% -------------------------------------------------------------------------- get-final-combination [20] 100.0% [31] 2880(2.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [125] 100.0% -------------------------------------------------------------------------- map [81] 14.8% approximate9 [17] 15.0% f94 [123] 70.2% [32] 1484(1.0%) 220(0.2%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [44] 43.3% simplify [102] 41.9% -------------------------------------------------------------------------- ??? [5] 30.6% for-loop [19] 69.4% [33] 1446(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [96] 100.0% -------------------------------------------------------------------------- setup-prog [23] 100.0% [34] 446(0.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- for-loop [24] 100.0% [35] 422(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [96] 100.0% -------------------------------------------------------------------------- for-loop [18] 100.0% [36] 222(0.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [45] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [37] 45106(31.4%) 1668(1.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [46] 67.3% loop [48] 26.7% apply-match [54] 1.8% -------------------------------------------------------------------------- run-iter! [28] 100.0% [38] 29518(20.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [47] 100.0% -------------------------------------------------------------------------- post-process [27] 100.0% [39] 6850(4.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [49] 100.0% -------------------------------------------------------------------------- loop [30] 100.0% [40] 4792(3.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [50] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [41] 2716(1.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [125] 100.0% -------------------------------------------------------------------------- run-iter! [28] 100.0% [42] 1294(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [51] 100.0% -------------------------------------------------------------------------- run-iter! [28] 100.0% [43] 836(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [52] 100.0% -------------------------------------------------------------------------- taylor-quotient [32] 100.0% [44] 642(0.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [96] 100.0% -------------------------------------------------------------------------- expr->enode [45] 50.0% mk-egraph [36] 50.0% [45] 222(0.2%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [45] 50.0% mk-enode! [78] 50.0% -------------------------------------------------------------------------- for-loop [46] 49.0% one-iter [37] 51.0% [46] 30340(21.1%) 8722(6.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [46] 49.0% match-e [60] 35.6% -------------------------------------------------------------------------- simplify! [38] 100.0% [47] 29518(20.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [53] 100.0% -------------------------------------------------------------------------- one-iter [37] 100.0% [48] 12054(8.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% -------------------------------------------------------------------------- append-map [49] 1.0% simplify-node [121] 1.0% f94 [123] 19.6% for-loop [39] 78.4% [49] 6850(4.8%) 840(0.6%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [131] 62.2% loop [125] 16.3% f94 [123] 11.9% free-variables [136] 3.2% parse-loop12 [107] 2.5% append-map [49] 1.0% -------------------------------------------------------------------------- pass [40] 100.0% [50] 4792(3.3%) 222(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [55] 60.5% for-loop [57] 26.5% loop [58] 8.3% -------------------------------------------------------------------------- debug7 [110] 6.7% finalize-iter! [42] 42.8% post-process [27] 50.5% [51] 3022(2.1%) 202(0.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 93.3% -------------------------------------------------------------------------- gen-series! [43] 100.0% [52] 836(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [131] 100.0% -------------------------------------------------------------------------- for-loop [47] 7.2% run [13] 45.6% [53] 138728(96.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.2% loop [59] 24.5% run-improve58 [2] 23.0% simplify [3] 7.2% -------------------------------------------------------------------------- one-iter [37] 6.4% loop [48] 93.6% [54] 12876(9.0%) 424(0.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [66] 38.2% match-e [60] 22.6% for-loop [63] 13.2% loop! [133] 11.4% substitute-e [69] 4.8% mk-enode! [78] 4.8% update-leader! [75] 1.6% -------------------------------------------------------------------------- for-loop [50] 100.0% [55] 2898(2.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [61] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [56] 2820(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [62] 100.0% -------------------------------------------------------------------------- for-loop [50] 100.0% [57] 1272(0.9%) 1272(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [50] 100.0% [58] 400(0.3%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [61] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 4.0% ??? [53] 96.0% [59] 70490(49.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [64] 48.6% make-exacts* [72] 35.1% loop [73] 16.3% -------------------------------------------------------------------------- apply-match [54] 8.7% for-loop [74] 9.3% for-loop [46] 82.0% [60] 24528(17.1%) 14454(10.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [65] 25.3% for-loop [74] 8.6% list-cartesian-product [77] 6.1% constant? [70] 3.8% loop [125] 1.8% custom-in-set [158] 1.7% -------------------------------------------------------------------------- loop [58] 12.1% argmin [55] 87.9% [61] 3298(2.3%) 200(0.1%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [67] 93.9% -------------------------------------------------------------------------- for-loop [56] 100.0% [62] 2820(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [68] 92.5% override-at-pnts [71] 7.5% -------------------------------------------------------------------------- apply-match [54] 100.0% [63] 1706(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [69] 36.3% merge-egraph-nodes! [66] 25.9% loop! [133] 24.9% mk-enode! [78] 12.9% -------------------------------------------------------------------------- loop [59] 100.0% [64] 34252(23.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [72] 43.2% loop [73] 39.5% eval-prog [82] 17.4% -------------------------------------------------------------------------- match-e [60] 100.0% [65] 7318(5.1%) 2906(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [74] 30.2% loop [125] 15.9% list-cartesian-product [77] 11.5% foldl [137] 2.8% -------------------------------------------------------------------------- merge-egraph-nodes! [66] 1.9% for-loop [63] 8.2% apply-match [54] 88.0% [66] 5360(3.7%) 202(0.1%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [75] 55.7% for-loop [79] 19.5% loop! [133] 9.8% enode-merge! [80] 7.5% merge-egraph-nodes! [66] 1.9% -------------------------------------------------------------------------- expression-cost [61] 100.0% [67] 3098(2.2%) 202(0.1%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [96] 93.5% -------------------------------------------------------------------------- atab-add-altn [62] 100.0% [68] 2608(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [76] 100.0% -------------------------------------------------------------------------- for-loop [63] 49.8% apply-match [54] 50.2% [69] 1244(0.9%) 220(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [78] 82.3% -------------------------------------------------------------------------- match-e [60] 100.0% [70] 1042(0.7%) 1042(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- atab-add-altn [62] 100.0% [71] 212(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [76] 100.0% -------------------------------------------------------------------------- loop [64] 37.4% loop [59] 62.6% [72] 39558(27.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [125] 44.8% map [81] 44.8% eval-prog [82] 10.4% -------------------------------------------------------------------------- loop [59] 45.9% loop [64] 54.1% [73] 24976(17.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [81] 100.0% -------------------------------------------------------------------------- for-loop [65] 38.9% match-e [60] 61.1% [74] 5464(3.8%) 642(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [60] 79.2% ??? [86] 11.1% -------------------------------------------------------------------------- apply-match [54] 6.1% merge-egraph-nodes! [66] 93.9% [75] 3290(2.3%) 844(0.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [83] 68.3% mutable-set [89] 6.0% -------------------------------------------------------------------------- override-at-pnts [71] 7.5% best-and-tied-at-points [68] 92.5% [76] 2820(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [84] 76.4% eval-prog [82] 23.6% -------------------------------------------------------------------------- for-loop [65] 17.9% list-cartesian-product [77] 31.6% match-e [60] 50.5% [77] 2350(1.6%) 2350(1.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [77] 31.6% -------------------------------------------------------------------------- for-loop [63] 10.5% expr->enode [45] 10.6% apply-match [54] 29.9% substitute-e [69] 49.0% [78] 2090(1.5%) 844(0.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [85] 39.4% new-enode [87] 20.2% -------------------------------------------------------------------------- merge-egraph-nodes! [66] 100.0% [79] 1044(0.7%) 844(0.6%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [115] 19.2% -------------------------------------------------------------------------- merge-egraph-nodes! [66] 100.0% [80] 402(0.3%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [88] 100.0% -------------------------------------------------------------------------- gather-multiplicative-terms [128] 0.3% parse-loop12 [107] 4.4% f94 [123] 12.1% make-exacts* [72] 34.6% loop [73] 48.7% [81] 51268(35.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [125] 82.6% f94 [123] 8.1% ??? [90] 4.7% parse-loop12 [107] 2.3% ??? [130] 0.9% make-multiplication-node [113] 0.4% loop [114] 0.4% gather-multiplicative-terms [128] 0.3% taylor-quotient [32] 0.2% simplify-node [121] 0.2% -------------------------------------------------------------------------- errors [76] 6.2% make-exacts* [72] 38.4% loop [64] 55.4% [82] 10746(7.5%) 878(0.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [96] 87.2% inductor [167] 2.3% ??? [93] 2.3% -------------------------------------------------------------------------- update-leader! [75] 100.0% [83] 2248(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [91] 100.0% -------------------------------------------------------------------------- errors [76] 100.0% [84] 2154(1.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [130] 90.7% ulp-difference [95] 9.3% -------------------------------------------------------------------------- mk-enode! [78] 100.0% [85] 824(0.6%) 824(0.6%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- for-loop [74] 100.0% [86] 604(0.4%) 200(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [92] 66.9% -------------------------------------------------------------------------- mk-enode! [78] 100.0% [87] 422(0.3%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [142] 52.6% check-valid-enode5 [94] 47.4% -------------------------------------------------------------------------- enode-merge! [80] 100.0% [88] 402(0.3%) 402(0.3%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 -------------------------------------------------------------------------- update-leader! [75] 100.0% [89] 198(0.1%) 198(0.1%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------- loop [125] 46.2% map [81] 53.8% [90] 3632(2.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [96] 71.3% f94 [123] 17.7% taylor-exp [99] 5.5% taylor [127] 5.5% -------------------------------------------------------------------------- for-loop [83] 100.0% [91] 2248(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [97] 100.0% -------------------------------------------------------------------------- ??? [86] 100.0% [92] 404(0.3%) 404(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- eval-prog [82] 100.0% [93] 248(0.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [98] 100.0% -------------------------------------------------------------------------- new-enode [87] 100.0% [94] 200(0.1%) 200(0.1%) check-valid-enode5 ...bie/src/core/enode.rkt:177:0 -------------------------------------------------------------------------- for-loop [84] 100.0% [95] 200(0.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [157] 100.0% -------------------------------------------------------------------------- for-loop [35] 0.3% for-loop [25] 0.3% ??? [9] 0.4% for-loop [22] 0.6% first-nonzero-exp [44] 0.9% ??? [33] 2.1% for-loop [19] 2.8% localize-error [132] 3.2% for-loop [21] 3.2% compile [67] 4.2% ??? [5] 4.6% ??? [103] 5.4% loop [29] 7.6% ??? [90] 9.3% ??? [100] 9.8% eval-prog [82] 11.3% loop [125] 34.0% [96] 20684(14.4%) 2460(1.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [100] 44.6% parse-loop12 [107] 12.1% bigfloat-hash [101] 11.3% ??? [5] 6.0% simplify [102] 5.8% ??? [103] 5.4% ??? [6] 4.2% ??? [7] 3.6% f94 [123] 1.9% ??? [9] 1.0% ??? [11] 0.3% ??? [105] 0.2% -------------------------------------------------------------------------- for-loop [91] 100.0% [97] 2248(1.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [104] 100.0% -------------------------------------------------------------------------- ??? [93] 100.0% [98] 248(0.2%) 248(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- ??? [90] 100.0% [99] 200(0.1%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [102] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [100] 12052(8.4%) 638(0.4%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [125] 76.0% hash-ref! [96] 22.8% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [101] 9372(6.5%) 234(0.2%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [106] 73.3% sig+exp->bigfloat [109] 22.1% bigfloat->sig+exp [112] 2.1% -------------------------------------------------------------------------- taylor-exp [99] 3.0% taylor-invert [12] 3.0% ??? [5] 3.3% for-loop [19] 3.3% loop [125] 6.0% taylor-quotient [32] 9.4% hash-ref! [96] 71.9% [102] 6630(4.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [123] 78.5% debug7 [110] 9.1% parse-loop12 [107] 6.4% debug-print [135] 6.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [103] 3760(2.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [96] 100.0% -------------------------------------------------------------------------- hash-update! [97] 100.0% [104] 2248(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [108] 100.0% -------------------------------------------------------------------------- hash-ref! [96] 100.0% [105] 222(0.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 repeat [111] 100.0% -------------------------------------------------------------------------- bigfloat-hash [101] 100.0% [106] 6866(4.8%) 6866(4.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- f94 [123] 1.9% parse-loop12 [107] 3.9% simplify [102] 4.0% append-map [49] 5.8% map [81] 35.3% hash-ref! [96] 49.2% [107] 5262(3.7%) 842(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [125] 31.2% f94 [123] 19.7% map [81] 16.1% make-multiplication-node [113] 9.6% simplify-node [121] 5.7% parse-loop12 [107] 3.9% for-loop [117] 2.0% loop [114] 1.9% -------------------------------------------------------------------------- ??? [104] 100.0% [108] 2248(1.6%) 2006(1.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [115] 10.8% -------------------------------------------------------------------------- bigfloat-hash [101] 100.0% [109] 2072(1.4%) 1618(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [177] 12.4% integer->mpz [119] 9.6% -------------------------------------------------------------------------- iterate-egraph!5 [26] 26.9% simplify [102] 73.1% [110] 826(0.6%) 424(0.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [51] 24.5% ??? [118] 24.2% -------------------------------------------------------------------------- ??? [105] 100.0% [111] 222(0.2%) 0(0.0%) repeat ...atlock/herbie/src/core/localize.rkt:13:0 for-loop [116] 100.0% -------------------------------------------------------------------------- bigfloat-hash [101] 100.0% [112] 200(0.1%) 200(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 -------------------------------------------------------------------------- map [81] 26.5% parse-loop12 [107] 73.5% [113] 822(0.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [120]100.0% -------------------------------------------------------------------------- parse-loop12 [107] 0.9% map [81] 3.3% loop [114] 95.8% [114] 662(0.5%) 218(0.2%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [114] 95.8% ->flonum [143] 0.9% -------------------------------------------------------------------------- for-loop [79] 45.2% for-loop [108] 54.8% [115] 442(0.3%) 442(0.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- repeat [111] 100.0% [116] 222(0.2%) 222(0.2%) for-loop ...lock/herbie/src/core/localize.rkt:14:2 -------------------------------------------------------------------------- parse-loop12 [107] 100.0% [117] 206(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 simplify-node [121] 100.0% -------------------------------------------------------------------------- debug7 [110] 100.0% [118] 200(0.1%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [122] 100.0% -------------------------------------------------------------------------- sig+exp->bigfloat [109] 100.0% [119] 198(0.1%) 198(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- make-multiplication-node [113] 100.0% [120] 822(0.6%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [124] 100.0% -------------------------------------------------------------------------- for-loop [117] 12.8% map [81] 37.7% parse-loop12 [107] 49.5% [121] 804(0.6%) 404(0.3%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f94 [123] 49.8% append-map [49] 12.8% -------------------------------------------------------------------------- ??? [118] 100.0% [122] 200(0.1%) 200(0.1%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------- simplify-node [121] 0.9% ??? [90] 2.2% composed [126] 3.8% hash-ref! [96] 4.7% parse-loop12 [107] 7.7% append-map [49] 8.2% approximate9 [17] 8.4% f94 [123] 10.0% simplify [102] 23.0% map [81] 31.0% [123] 7272(5.1%) 662(0.5%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [81] 56.8% append-map [49] 12.3% f94 [123] 10.0% composed [126] 5.7% taylor-quotient [32] 3.1% taylor [127] 3.1% combine-mterms [10] 1.7% loop [125] 1.4% gather-multiplicative-terms [128] 1.1% taylor-invert [12] 0.4% parse-loop12 [107] 0.2% -------------------------------------------------------------------------- make-multiplication-subnode [120]100.0% [124] 822(0.6%) 604(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [129] 26.5% -------------------------------------------------------------------------- match-e [60] 0.0% map-enodes [41] 0.1% make-exacts* [72] 0.2% f94 [123] 0.3% loop! [133] 0.6% map [81] 0.8% parse-loop12 [107] 0.8% for-loop [65] 1.0% extract-alt [31] 1.3% append-map [49] 1.5% post-process [27] 2.2% ??? [100] 8.7% loop [125] 82.6% [125] 102744(71.5%) 1504(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [125] 82.6% hash-ref! [96] 8.7% taylor-alt [131] 1.5% completely-simplify-alt [4] 1.5% simplify [3] 1.3% ??? [130] 0.9% ??? [90] 0.8% localize-error [132] 0.7% loop! [133] 0.6% simplify [102] 0.3% for-loop [134] 0.1% foldl [137] 0.1% ??? [169] 0.0% bffma [152] 0.0% bf* [164] 0.0% curried [149] 0.0% bfcube [155] 0.0% set-precompute! [138] 0.0% ->flonum [143] 0.0% -------------------------------------------------------------------------- f94 [123] 100.0% [126] 2292(1.6%) 202(0.1%) composed ...ollects/racket/private/list.rkt:321:16 f94 [123] 82.4% free-variables [136] 8.8% -------------------------------------------------------------------------- ??? [90] 31.4% approximate9 [17] 33.6% f94 [123] 34.9% [127] 636(0.4%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [135] 100.0% -------------------------------------------------------------------------- gather-multiplicative-terms [128] 12.5% map [81] 25.0% f94 [123] 62.5% [128] 400(0.3%) 400(0.3%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [81] 25.0% gather-multiplicative-terms [128] 12.5% -------------------------------------------------------------------------- group-by68 [124] 100.0% [129] 218(0.2%) 218(0.2%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------- map [81] 0.7% for-loop [84] 3.1% loop [125] 96.1% [130] 62072(43.2%) 456(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [139] 94.1% real->bigfloat [141] 4.1% ??? [174] 0.8% ->flonum [143] 0.3% -------------------------------------------------------------------------- for-loop [52] 10.9% loop [125] 21.4% append-map [49] 67.7% [131] 7686(5.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [140] 100.0% -------------------------------------------------------------------------- post-process [27] 5.9% run-iter! [28] 11.8% loop [125] 82.2% [132] 3740(2.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [96] 69.2% sort [144] 30.8% -------------------------------------------------------------------------- merge-egraph-nodes! [66] 12.4% for-loop [63] 16.9% loop [125] 29.2% apply-match [54] 41.6% [133] 2516(1.8%) 202(0.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [145] 37.6% set [142] 29.2% loop [125] 29.2% -------------------------------------------------------------------------- loop [125] 100.0% [134] 2494(1.7%) 424(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [146] 40.3% eval-const-expr [148] 25.7% curried [149] 16.9% -------------------------------------------------------------------------- simplify [102] 38.6% taylor [127] 61.4% [135] 1036(0.7%) 200(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [147] 80.7% -------------------------------------------------------------------------- composed [126] 19.6% append-map [49] 80.4% [136] 1030(0.7%) 1030(0.7%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------- for-loop [65] 48.1% loop [125] 51.9% [137] 420(0.3%) 218(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [151] 48.1% -------------------------------------------------------------------------- loop [125] 100.0% [138] 222(0.2%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [150] 100.0% -------------------------------------------------------------------------- ??? [130] 100.0% [139] 58382(40.6%) 2892(2.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [169] 44.3% bf* [164] 18.2% bffma [152] 13.4% ...higher-order.rkt:373:33 [154] 11.9% ...ow-val-first.rkt:357:18 [165] 4.0% bfcube [155] 2.9% ??? [157] 0.4% -------------------------------------------------------------------------- taylor-alt [131] 100.0% [140] 7686(5.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [153] 100.0% -------------------------------------------------------------------------- ??? [130] 100.0% [141] 2530(1.8%) 1832(1.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [177] 27.6% -------------------------------------------------------------------------- new-enode [87] 14.9% loop! [133] 85.1% [142] 1490(1.0%) 1490(1.0%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- ??? [130] 17.5% loop [114] 38.4% loop [125] 44.1% [143] 1156(0.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [176] 44.3% ??? [161] 38.2% ??? [157] 17.5% -------------------------------------------------------------------------- localize-error [132] 100.0% [144] 1152(0.8%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [159] 50.9% loop [160] 49.1% -------------------------------------------------------------------------- loop! [133] 100.0% [145] 1046(0.7%) 222(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [156] 78.8% -------------------------------------------------------------------------- for-loop [134] 100.0% [146] 1006(0.7%) 404(0.3%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [162] 39.8% custom-in-set [158] 20.1% -------------------------------------------------------------------------- debug-print [135] 100.0% [147] 836(0.6%) 836(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- for-loop [134] 100.0% [148] 642(0.4%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [169] 34.3% expression-induct31 [163] 34.3% ...higher-order.rkt:373:33 [154] 31.5% -------------------------------------------------------------------------- loop [125] 34.1% for-loop [134] 65.9% [149] 640(0.4%) 640(0.4%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- set-precompute! [138] 100.0% [150] 222(0.2%) 222(0.2%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- foldl [137] 100.0% [151] 202(0.1%) 202(0.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- loop [125] 5.3% ??? [139] 94.7% [152] 8266(5.8%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [164] 75.4% ...ow-val-first.rkt:357:18 [165] 24.6% -------------------------------------------------------------------------- loop [8] 1.4% for-loop [140] 26.2% location-do [153] 72.4% [153] 7686(5.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [153] 72.4% approximate9 [17] 19.6% loop [8] 8.0% -------------------------------------------------------------------------- eval-const-expr [148] 2.8% ??? [139] 97.2% [154] 7156(5.0%) 490(0.3%) ...higher-order.rkt:373:33 (unknown source) ??? [170] 77.8% ??? [174] 15.3% -------------------------------------------------------------------------- loop [125] 10.5% ??? [139] 89.5% [155] 1904(1.3%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [164] 66.2% ...ow-val-first.rkt:357:18 [165] 33.8% -------------------------------------------------------------------------- custom-set-union [145] 100.0% [156] 824(0.6%) 424(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [168] 48.5% -------------------------------------------------------------------------- ulp-difference [95] 32.1% ->flonum [143] 32.4% ??? [139] 35.6% [157] 624(0.4%) 624(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- setfindf [146] 33.0% match-e [60] 67.0% [158] 612(0.4%) 612(0.4%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------- sort [144] 100.0% [159] 586(0.4%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 jloop [166] 100.0% -------------------------------------------------------------------------- sort [144] 100.0% [160] 566(0.4%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [171] 100.0% -------------------------------------------------------------------------- ->flonum [143] 100.0% [161] 442(0.3%) 222(0.2%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [177] 49.8% -------------------------------------------------------------------------- setfindf [146] 100.0% [162] 400(0.3%) 400(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- eval-const-expr [148] 100.0% [163] 220(0.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [167] 100.0% -------------------------------------------------------------------------- loop [125] 1.2% bfcube [155] 6.9% bffma [152] 34.0% ??? [139] 57.9% [164] 18320(12.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [169] 100.0% -------------------------------------------------------------------------- bfcube [155] 12.9% bffma [152] 40.7% ??? [139] 46.4% [165] 5002(3.5%) 286(0.2%) ...ow-val-first.rkt:357:18 (unknown source) ??? [170] 94.3% -------------------------------------------------------------------------- copying-mergesort [159] 100.0% [166] 586(0.4%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [171] 100.0% -------------------------------------------------------------------------- eval-prog [82] 4.8% expression-induct31 [163] 23.5% inductor [167] 71.7% [167] 468(0.3%) 220(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [167] 71.7% integer->bigfloat [172] 4.8% -------------------------------------------------------------------------- for-loop [156] 100.0% [168] 400(0.3%) 400(0.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- eval-const-expr [148] 0.5% loop [125] 1.4% bf* [164] 40.7% ??? [139] 57.4% [169] 45016(31.3%) 4018(2.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [173] 72.2% ??? [176] 17.7% -------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [165] 45.8% ...higher-order.rkt:373:33 [154] 54.2% [170] 10286(7.2%) 1130(0.8%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [174] 89.0% -------------------------------------------------------------------------- loop [160] 49.1% jloop [166] 50.9% [171] 1152(0.8%) 566(0.4%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [175] 50.9% -------------------------------------------------------------------------- inductor [167] 100.0% [172] 248(0.2%) 248(0.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------------- ??? [169] 100.0% [173] 32484(22.6%) 23686(16.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [177] 27.1% -------------------------------------------------------------------------- ??? [130] 4.7% ...higher-order.rkt:373:33 [154] 10.2% ??? [170] 85.1% [174] 10754(7.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [176] 100.0% -------------------------------------------------------------------------- errors-score [171] 100.0% [175] 586(0.4%) 586(0.4%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------- ->flonum [143] 2.7% ??? [169] 41.5% ??? [174] 55.9% [176] 19254(13.4%) 10718(7.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [178] 40.9% ??? [179] 3.4% -------------------------------------------------------------------------- ??? [161] 2.2% sig+exp->bigfloat [109] 2.6% real->bigfloat [141] 7.0% bfmul [173] 88.2% [177] 9972(6.9%) 9972(6.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [176] 100.0% [178] 7882(5.5%) 3758(2.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [180] 52.3% -------------------------------------------------------------------------- ??? [176] 100.0% [179] 654(0.5%) 218(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [181] 66.7% -------------------------------------------------------------------------- ??? [178] 100.0% [180] 4124(2.9%) 4124(2.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [179] 100.0% [181] 436(0.3%) 436(0.3%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------