Profiling results ----------------- Total cpu time observed: 527398ms (out of 540640ms) Number of samples taken: 2338 (once every 226ms) (Hiding functions with self<1.0% and local<2.0%: 13 of 194 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [54] 100.0% [1] 494154(93.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% -------------------------------------------------------------------------------- ??? [54] 100.0% [2] 109858(20.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [13] 58.3% for-loop [16] 28.4% loop [66] 10.1% get-final-combination [21] 2.8% setup-prog [23] 0.4% -------------------------------------------------------------------------------- post-process [24] 1.8% loop [112] 98.2% [3] 23600(4.5%) 238(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [14] 99.0% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [4] 17022(3.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [126] 96.0% ??? [28] 4.0% -------------------------------------------------------------------------------- loop [5] 44.7% location-do [76] 55.3% [5] 16080(3.0%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [15] 53.7% loop [5] 44.7% location-do [76] 1.6% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [6] 13866(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [7] 11574(2.2%) 216(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [18] 99.1% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [8] 7050(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [126] 84.0% for-loop [22] 16.0% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [9] 6160(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [19] 100.0% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [10] 4502(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [20] 100.0% -------------------------------------------------------------------------------- map [102] 13.0% f94 [149] 87.0% [11] 1834(0.3%) 446(0.1%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [90] 50.8% first-nonzero-exp [51] 24.9% -------------------------------------------------------------------------------- profile-thunk14 [1] 99.6% [12] 496012(94.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [54] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 64098(12.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [24] 100.0% -------------------------------------------------------------------------------- simplify [118] 35.2% completely-simplify-alt [3] 64.8% [14] 36060(6.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [25] 90.2% loop [31] 9.2% loop [112] 0.7% -------------------------------------------------------------------------------- loop [5] 46.3% location-do [76] 53.7% [15] 34254(6.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [27] 76.3% for-loop [29] 17.7% f94 [149] 6.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 31178(5.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% -------------------------------------------------------------------------------- ??? [6] 100.0% [17] 13866(2.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [28] 49.5% hash-ref! [126] 47.3% simplify [90] 3.1% -------------------------------------------------------------------------------- ??? [7] 100.0% [18] 11574(2.2%) 700(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [126] 96.0% -------------------------------------------------------------------------------- ??? [9] 100.0% [19] 6160(1.2%) 232(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [126] 88.8% simplify [90] 7.4% -------------------------------------------------------------------------------- ??? [10] 100.0% [20] 4502(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [30] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [21] 3026(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [32] 100.0% -------------------------------------------------------------------------------- ??? [8] 100.0% [22] 1130(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [126] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 416(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [33] 52.4% ??? [48] 47.6% -------------------------------------------------------------------------------- finalize-table! [13] 100.0% [24] 64098(12.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [35] 51.1% loop [112] 41.9% ??? [48] 5.3% localize-error [37] 1.1% completely-simplify-alt [3] 0.7% -------------------------------------------------------------------------------- simplify [118] 15.6% for-loop [127] 17.2% simplify-expr [14] 67.2% [25] 48380(9.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [34] 98.1% map-enodes [42] 1.9% -------------------------------------------------------------------------------- for-loop [16] 100.0% [26] 31178(5.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [36] 87.0% gen-series! [39] 7.1% finalize-iter! [40] 4.5% localize-error [37] 1.5% -------------------------------------------------------------------------------- approximate9 [15] 100.0% [27] 26134(5.0%) 1414(0.3%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [126] 91.8% -------------------------------------------------------------------------------- ??? [4] 8.5% for-loop [17] 91.5% [28] 7970(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [126] 100.0% -------------------------------------------------------------------------------- approximate9 [15] 100.0% [29] 6070(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [149] 92.5% taylor-quotient [41] 7.5% -------------------------------------------------------------------------------- for-loop [20] 100.0% [30] 4502(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [126] 100.0% -------------------------------------------------------------------------------- for-loop [127] 5.3% simplify [118] 20.7% simplify-expr [14] 74.0% [31] 4462(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [38] 100.0% -------------------------------------------------------------------------------- get-final-combination [21] 100.0% [32] 3026(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [112] 92.4% loop [43] 7.6% -------------------------------------------------------------------------------- setup-prog [23] 100.0% [33] 218(0.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [118] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [34] 47464(9.0%) 2818(0.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [45] 67.6% loop [47] 24.1% apply-match [56] 1.0% -------------------------------------------------------------------------------- post-process [24] 100.0% [35] 32758(6.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [44] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [36] 27124(5.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 9.4% post-process [24] 14.4% loop [112] 76.2% [37] 4822(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [126] 85.9% sort [52] 9.2% for-loop [53] 4.9% -------------------------------------------------------------------------------- loop [31] 100.0% [38] 4462(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [39] 2210(0.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [50] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [40] 1390(0.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [48] 100.0% -------------------------------------------------------------------------------- f94 [149] 19.3% for-loop [29] 40.3% hash-ref! [126] 40.5% [41] 1132(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [51] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [42] 916(0.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [112] 74.0% for-loop [122] 26.0% -------------------------------------------------------------------------------- extract-alt [32] 100.0% [43] 230(0.0%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [157] 100.0% -------------------------------------------------------------------------------- parse-loop12 [134] 0.2% f94 [149] 4.8% for-loop [35] 94.6% [44] 33072(6.3%) 1164(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [55] 78.9% loop [112] 15.7% f94 [149] 3.1% free-variables [165] 1.1% loop [62] 0.1% -------------------------------------------------------------------------------- for-loop [45] 46.8% one-iter [34] 53.2% [45] 32064(6.1%) 8576(1.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [45] 46.8% match-e [68] 36.3% ??? [106] 0.3% -------------------------------------------------------------------------------- simplify! [36] 100.0% [46] 27124(5.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [54] 98.5% debug-print [164] 1.5% -------------------------------------------------------------------------------- one-iter [34] 100.0% [47] 11426(2.2%) 218(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [56] 98.1% -------------------------------------------------------------------------------- setup-prog [23] 3.2% debug7 [163] 19.0% finalize-iter! [40] 22.7% post-process [24] 55.0% [48] 6126(1.2%) 1166(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [57] 73.8% atab-add-altns [63] 3.9% make-alt-table [65] 3.2% -------------------------------------------------------------------------------- pass [38] 100.0% [49] 4462(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [58] 73.6% loop [59] 15.6% for-loop [60] 10.7% -------------------------------------------------------------------------------- gen-series! [39] 100.0% [50] 2210(0.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [55] 100.0% -------------------------------------------------------------------------------- taylor-invert [11] 28.7% taylor-quotient [41] 71.3% [51] 1588(0.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [126] 100.0% -------------------------------------------------------------------------------- localize-error [37] 100.0% [52] 444(0.1%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 loop [61] 100.0% -------------------------------------------------------------------------------- localize-error [37] 100.0% [53] 236(0.0%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 loop [64] 100.0% -------------------------------------------------------------------------------- for-loop [46] 1.8% run [12] 48.6% [54] 503964(95.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% loop [66] 39.8% run-improve58 [2] 10.2% simplify [118] 1.8% -------------------------------------------------------------------------------- for-loop [50] 6.3% loop [112] 15.9% append-map [44] 77.8% [55] 34968(6.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [67] 100.0% -------------------------------------------------------------------------------- one-iter [34] 4.0% loop [47] 96.0% [56] 11670(2.2%) 690(0.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [78] 46.4% match-e [68] 18.1% for-loop [71] 11.6% substitute-e [82] 7.9% mk-enode! [95] 4.1% loop! [120] 3.9% reduce-to-single! [74] 2.0% -------------------------------------------------------------------------------- ??? [48] 100.0% [57] 4522(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [69] 100.0% -------------------------------------------------------------------------------- for-loop [49] 100.0% [58] 3286(0.6%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [70] 92.7% for-loop [73] 7.3% -------------------------------------------------------------------------------- for-loop [49] 100.0% [59] 698(0.1%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [70] 100.0% -------------------------------------------------------------------------------- for-loop [49] 100.0% [60] 478(0.1%) 478(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------------- sort [52] 100.0% [61] 444(0.1%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [72] 100.0% -------------------------------------------------------------------------------- loop [62] 50.0% append-map [44] 50.0% [62] 240(0.0%) 240(0.0%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [62] 50.0% -------------------------------------------------------------------------------- ??? [48] 100.0% [63] 240(0.0%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [69] 100.0% -------------------------------------------------------------------------------- for-loop [53] 100.0% [64] 236(0.0%) 236(0.0%) loop ...ket/collects/racket/private/map.rkt:113:23 -------------------------------------------------------------------------------- ??? [48] 100.0% [65] 198(0.0%) 198(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 -------------------------------------------------------------------------------- run-improve58 [2] 2.7% ??? [54] 97.3% [66] 405246(76.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [75] 49.2% make-exacts* [88] 38.1% loop [89] 12.0% for-loop [81] 0.6% -------------------------------------------------------------------------------- taylor-alt [55] 100.0% [67] 34968(6.6%) 240(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [76] 99.3% -------------------------------------------------------------------------------- apply-match [56] 5.5% for-loop [91] 8.8% for-loop [45] 85.7% [68] 25382(4.8%) 15202(2.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [77] 26.0% for-loop [91] 9.3% custom-in-set [83] 2.3% constant? [151] 2.1% loop [112] 1.8% curry* [87] 0.9% list-cartesian-product [96] 0.9% -------------------------------------------------------------------------------- atab-add-altns [63] 5.0% for-loop [57] 95.0% [69] 4762(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [79] 86.1% override-at-pnts [84] 13.9% -------------------------------------------------------------------------------- loop [59] 18.6% argmin [58] 81.4% [70] 3744(0.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [80] 100.0% -------------------------------------------------------------------------------- apply-match [56] 100.0% [71] 1354(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [82] 49.5% loop! [120] 34.3% merge-egraph-nodes! [78] 16.2% -------------------------------------------------------------------------------- loop [61] 100.0% [72] 444(0.1%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [85] 53.6% loop [112] 46.4% -------------------------------------------------------------------------------- argmin [58] 100.0% [73] 240(0.0%) 240(0.0%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------------- apply-match [56] 100.0% [74] 238(0.0%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [86] 100.0% -------------------------------------------------------------------------------- loop [66] 100.0% [75] 199380(37.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [89] 54.9% make-exacts* [88] 44.4% eval-prog [103] 0.7% -------------------------------------------------------------------------------- loop [5] 0.6% for-loop [67] 41.7% location-do [76] 57.7% [76] 34728(6.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [76] 57.7% approximate9 [15] 27.2% loop [5] 14.6% simplify [90] 0.6% -------------------------------------------------------------------------------- match-e [68] 100.0% [77] 7698(1.5%) 3496(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [91] 34.7% list-cartesian-product [96] 12.5% foldl [98] 5.9% loop [112] 4.6% -------------------------------------------------------------------------------- for-loop [71] 3.9% merge-egraph-nodes! [78] 6.4% apply-match [56] 89.7% [78] 5636(1.1%) 238(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [93] 60.6% loop! [120] 16.5% for-loop [97] 8.1% merge-egraph-nodes! [78] 6.4% enode-merge! [100] 4.2% -------------------------------------------------------------------------------- atab-add-altn [69] 100.0% [79] 4102(0.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [92] 89.1% for-loop [99] 10.9% -------------------------------------------------------------------------------- expression-cost [70] 100.0% [80] 3744(0.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [126] 100.0% -------------------------------------------------------------------------------- loop [66] 100.0% [81] 2618(0.5%) 918(0.2%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [94] 64.9% -------------------------------------------------------------------------------- for-loop [71] 26.3% substitute-e [82] 29.8% apply-match [56] 44.0% [82] 1590(0.3%) 874(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [95] 45.0% substitute-e [82] 29.8% -------------------------------------------------------------------------------- match-e [68] 100.0% [83] 686(0.1%) 686(0.1%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------------- atab-add-altn [69] 100.0% [84] 660(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [92] 100.0% -------------------------------------------------------------------------------- errors-score [72] 100.0% [85] 238(0.0%) 238(0.0%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------------- reduce-to-single! [74] 100.0% [86] 238(0.0%) 238(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------------- match-e [68] 100.0% [87] 228(0.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [101] 100.0% -------------------------------------------------------------------------------- loop [75] 36.4% loop [66] 63.6% [88] 242956(46.1%) 230(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [112] 51.2% map [102] 48.7% eval-prog [103] 0.0% -------------------------------------------------------------------------------- loop [66] 30.8% loop [75] 69.2% [89] 158214(30.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [102] 100.0% -------------------------------------------------------------------------------- for-loop [17] 1.8% for-loop [19] 1.8% location-do [76] 1.9% taylor-invert [11] 3.7% loop [112] 22.4% hash-ref! [126] 67.5% [90] 24880(4.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [149] 66.9% parse-loop12 [134] 14.7% debug7 [163] 8.2% debug-print [164] 6.4% simplify* [145] 1.0% make-multiplication-node [142] 1.0% -------------------------------------------------------------------------------- for-loop [77] 45.0% match-e [68] 55.0% [91] 6464(1.2%) 1156(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [68] 66.3% ??? [106] 17.5% -------------------------------------------------------------------------------- composed [157] 5.1% override-at-pnts [84] 14.5% best-and-tied-at-points [79] 80.4% [92] 4544(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [104] 59.8% eval-prog [103] 40.2% -------------------------------------------------------------------------------- merge-egraph-nodes! [78] 100.0% [93] 3772(0.7%) 1404(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [105] 50.7% make-sequence [107] 12.0% -------------------------------------------------------------------------------- for-loop [81] 100.0% [94] 1700(0.3%) 680(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [114] 34.2% sample [109] 25.8% -------------------------------------------------------------------------------- apply-match [56] 40.0% substitute-e [82] 60.0% [95] 1194(0.2%) 1194(0.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 -------------------------------------------------------------------------------- list-cartesian-product [96] 9.4% match-e [68] 9.4% for-loop [77] 81.2% [96] 1182(0.2%) 1182(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [96] 9.4% -------------------------------------------------------------------------------- merge-egraph-nodes! [78] 100.0% [97] 456(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [120] 100.0% -------------------------------------------------------------------------------- for-loop [77] 100.0% [98] 452(0.1%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [108] 100.0% -------------------------------------------------------------------------------- best-and-tied-at-points [79] 100.0% [99] 448(0.1%) 218(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [111] 51.3% -------------------------------------------------------------------------------- merge-egraph-nodes! [78] 100.0% [100] 238(0.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [110] 100.0% -------------------------------------------------------------------------------- curry* [87] 100.0% [101] 228(0.0%) 228(0.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------------- loop [112] 0.1% gather-multiplicative-terms [159] 0.1% ??? [119] 0.1% parse-loop12 [134] 1.1% f94 [149] 6.9% make-exacts* [88] 39.2% loop [89] 52.5% [102] 301590(57.2%) 1874(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [112] 90.7% f94 [149] 3.4% parse-loop12 [134] 2.1% ??? [119] 1.5% ??? [117] 1.1% make-multiplication-node [142] 0.4% loop [143] 0.2% ->flonum [158] 0.1% gather-multiplicative-terms [159] 0.1% ??? [116] 0.0% simplify* [145] 0.0% taylor-invert [11] 0.0% -------------------------------------------------------------------------------- make-exacts* [88] 3.0% loop [75] 43.1% errors [92] 54.0% [103] 3384(0.6%) 2926(0.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [126] 13.5% -------------------------------------------------------------------------------- errors [92] 100.0% [104] 2718(0.5%) 674(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [117] 75.2% -------------------------------------------------------------------------------- update-leader! [93] 100.0% [105] 1914(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [113] 100.0% -------------------------------------------------------------------------------- for-loop [45] 16.2% for-loop [91] 83.8% [106] 1354(0.3%) 664(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [115] 51.0% -------------------------------------------------------------------------------- update-leader! [93] 100.0% [107] 454(0.1%) 454(0.1%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------------- foldl [98] 100.0% [108] 452(0.1%) 452(0.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------------- for-loop [94] 100.0% [109] 438(0.1%) 222(0.0%) sample /home/ztatlock/herbie/src/points.rkt:68:0 sample-default [114] 49.3% -------------------------------------------------------------------------------- enode-merge! [100] 100.0% [110] 238(0.0%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [129] 100.0% -------------------------------------------------------------------------------- for-loop [99] 100.0% [111] 230(0.0%) 230(0.0%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------------- errors-score [72] 0.0% simplify-expr [14] 0.0% map-enodes [42] 0.0% loop! [120] 0.0% for-loop [77] 0.1% ??? [137] 0.1% match-e [68] 0.1% extract-alt [32] 0.3% taylor [156] 0.4% make-exacts* [88] 0.4% ??? [117] 0.6% post-process [24] 0.6% parse-loop12 [134] 0.7% f94 [149] 0.8% append-map [44] 1.0% map [102] 2.0% loop [112] 93.0% [112] 447278(84.8%) 25724(4.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [112] 93.0% ??? [117] 2.2% simplify [90] 1.0% taylor-alt [55] 1.0% completely-simplify-alt [3] 0.4% ??? [119] 0.3% real->bigfloat [125] 0.3% simplify [118] 0.3% parse-loop12 [134] 0.3% f94 [149] 0.2% localize-error [37] 0.2% ??? [176] 0.1% hash-ref! [126] 0.1% ->flonum [158] 0.0% loop! [120] 0.0% ...ow-val-first.rkt:357:18 [141] 0.0% for-loop [122] 0.0% ??? [147] 0.0% map [102] 0.0% bffma [135] 0.0% -------------------------------------------------------------------------------- for-loop [105] 100.0% [113] 1914(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [121] 100.0% -------------------------------------------------------------------------------- sample [109] 27.1% for-loop [94] 72.9% [114] 798(0.2%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [166] 100.0% -------------------------------------------------------------------------------- ??? [106] 100.0% [115] 690(0.1%) 690(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------------- map [102] 100.0% [116] 240(0.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [123] 100.0% -------------------------------------------------------------------------------- for-loop [104] 0.5% map [102] 0.8% loop [112] 98.7% [117] 401404(76.1%) 7988(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [124] 68.3% loop [112] 24.8% real->bigfloat [125] 3.4% ??? [176] 1.2% -------------------------------------------------------------------------------- simplify-alt [33] 0.7% loop [112] 9.4% ??? [54] 89.9% [118] 29720(5.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [14] 42.7% for-loop [127] 28.8% iterate-egraph!5 [25] 25.4% loop [31] 3.1% -------------------------------------------------------------------------------- loop [112] 41.9% map [102] 58.1% [119] 6248(1.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [126] 62.0% f94 [149] 26.1% taylor [156] 7.6% map [102] 4.2% -------------------------------------------------------------------------------- for-loop [97] 14.6% for-loop [71] 14.8% apply-match [56] 19.9% merge-egraph-nodes! [78] 23.7% loop [112] 26.9% [120] 2312(0.4%) 218(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [112] 36.5% custom-set-union [129] 34.6% set [130] 15.4% update-en-expr [146] 10.3% -------------------------------------------------------------------------------- for-loop [113] 100.0% [121] 1914(0.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [128] 100.0% -------------------------------------------------------------------------------- map-enodes [42] 26.0% loop [112] 74.0% [122] 916(0.2%) 238(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [131] 74.0% -------------------------------------------------------------------------------- ??? [116] 100.0% [123] 240(0.0%) 240(0.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------------- ??? [117] 100.0% [124] 274168(52.0%) 11566(2.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [140] 34.2% ??? [147] 26.0% ...higher-order.rkt:373:33 [132] 25.8% bffma [135] 5.6% bfcube [136] 2.4% ...ow-val-first.rkt:357:18 [141] 1.9% -------------------------------------------------------------------------------- ??? [117] 21.2% loop [112] 78.8% [125] 64998(12.3%) 38230(7.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [172] 41.2% -------------------------------------------------------------------------------- eval-prog [103] 0.3% for-loop [22] 0.6% loop [112] 1.1% for-loop [30] 1.1% for-loop [19] 1.4% first-nonzero-exp [51] 1.5% ??? [8] 1.8% ??? [28] 2.1% for-loop [17] 2.4% localize-error [37] 3.2% compile [80] 3.9% ??? [4] 5.0% for-loop [18] 5.5% ??? [137] 7.4% ??? [119] 9.2% loop [27] 12.3% ??? [133] 39.6% [126] 33280(6.3%) 5666(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [133] 39.6% parse-loop12 [134] 11.9% ??? [137] 10.0% ??? [7] 6.4% simplify [90] 6.4% ??? [4] 5.3% ??? [6] 4.3% ??? [8] 2.4% f94 [149] 2.4% ??? [9] 1.6% ??? [10] 1.1% taylor [156] 0.4% taylor-quotient [41] 0.2% -------------------------------------------------------------------------------- simplify [118] 100.0% [127] 8558(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [25] 97.2% loop [31] 2.8% -------------------------------------------------------------------------------- hash-update! [121] 100.0% [128] 1914(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [138] 100.0% -------------------------------------------------------------------------------- adopt-enode! [110] 20.6% loop! [120] 79.4% [129] 1158(0.2%) 240(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [139] 79.3% -------------------------------------------------------------------------------- loop! [120] 100.0% [130] 714(0.1%) 714(0.1%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------------- for-loop [122] 100.0% [131] 678(0.1%) 678(0.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 -------------------------------------------------------------------------------- ??? [124] 100.0% [132] 70672(13.4%) 1592(0.3%) ...higher-order.rkt:373:33 (unknown source) ??? [148] 81.9% ??? [176] 15.8% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [133] 22888(4.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [126] 100.0% -------------------------------------------------------------------------------- composed [157] 1.3% f94 [149] 2.4% loop [112] 3.9% parse-loop12 [134] 11.1% simplify [90] 14.6% hash-ref! [126] 23.0% map [102] 43.6% [134] 18000(3.4%) 5416(1.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f94 [149] 27.1% loop [112] 23.2% map [102] 13.2% parse-loop12 [134] 11.1% loop [143] 1.3% append-map [44] 1.3% make-multiplication-node [142] 0.6% simplify* [145] 0.6% -------------------------------------------------------------------------------- loop [112] 1.4% ??? [124] 98.6% [135] 15504(2.9%) 100(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [140] 65.9% ...ow-val-first.rkt:357:18 [141] 33.5% -------------------------------------------------------------------------------- ??? [124] 100.0% [136] 6472(1.2%) 220(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [140] 60.8% ...ow-val-first.rkt:357:18 [141] 35.8% -------------------------------------------------------------------------------- hash-ref! [126] 100.0% [137] 3964(0.8%) 1398(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [126] 76.7% loop [112] 11.6% -------------------------------------------------------------------------------- ??? [128] 100.0% [138] 1914(0.4%) 1674(0.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [146] 12.5% -------------------------------------------------------------------------------- custom-set-union [129] 100.0% [139] 918(0.2%) 238(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [144] 74.1% -------------------------------------------------------------------------------- bfcube [136] 3.6% bffma [135] 9.5% ??? [124] 86.9% [140] 107780(20.4%) 1852(0.4%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [147] 98.3% -------------------------------------------------------------------------------- loop [112] 8.6% bfcube [136] 16.6% bffma [135] 37.1% ??? [124] 37.7% [141] 13998(2.7%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? 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[151] 31.3% -------------------------------------------------------------------------------- loop! [120] 49.8% for-loop [138] 50.2% [146] 478(0.1%) 478(0.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- loop [112] 0.2% ??? [124] 40.1% bf* [140] 59.6% [147] 177596(33.7%) 21624(4.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [154] 55.7% ??? [177] 29.1% bfcbrt [155] 3.0% -------------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [141] 19.5% ...higher-order.rkt:373:33 [132] 80.5% [148] 71880(13.6%) 5258(1.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [176] 92.7% -------------------------------------------------------------------------------- composed [157] 1.3% ??? [119] 1.3% loop [112] 2.7% append-map [44] 3.0% approximate9 [15] 3.1% for-loop [29] 6.7% parse-loop12 [134] 7.3% hash-ref! [126] 8.8% f94 [149] 10.1% map [102] 25.2% simplify [90] 28.6% [149] 27066(5.1%) 2742(0.5%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [102] 60.1% f94 [149] 10.1% loop [112] 6.6% append-map [44] 4.3% taylor [156] 3.6% composed [157] 3.4% gather-multiplicative-terms [159] 3.1% taylor-invert [11] 1.4% combine-mterms [160] 1.4% parse-loop12 [134] 1.0% taylor-quotient [41] 0.8% compose [167] 0.2% -------------------------------------------------------------------------------- make-multiplication-node [142] 100.0% [150] 2492(0.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [161] 45.7% group-by68 [162] 35.3% compose [167] 18.9% -------------------------------------------------------------------------------- simplify* [145] 23.5% match-e [68] 76.5% [151] 892(0.2%) 892(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- loop [143] 100.0% [152] 238(0.0%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [158] 100.0% -------------------------------------------------------------------------------- loop [143] 100.0% [153] 218(0.0%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? 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[126] 23.9% f94 [149] 64.2% [156] 3996(0.8%) 240(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [112] 41.2% debug7 [163] 29.4% debug-print [164] 23.3% -------------------------------------------------------------------------------- loop [43] 6.5% f94 [149] 93.5% [157] 3528(0.7%) 238(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [149] 55.2% free-variables [165] 24.9% parse-loop12 [134] 6.6% errors [92] 6.5% -------------------------------------------------------------------------------- ??? [152] 8.0% map [102] 19.8% loop [112] 72.2% [158] 2990(0.6%) 550(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [177] 52.0% ??? [166] 15.9% ??? [169] 13.6% -------------------------------------------------------------------------------- map [102] 7.9% f94 [149] 92.1% [159] 2902(0.6%) 2444(0.5%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [102] 15.4% compose [167] 8.2% -------------------------------------------------------------------------------- f94 [149] 100.0% [160] 1368(0.3%) 692(0.1%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [168] 49.4% -------------------------------------------------------------------------------- make-multiplication-subnode [150] 100.0% [161] 1140(0.2%) 460(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [170] 21.1% partition [171] 20.9% compose [167] 17.7% -------------------------------------------------------------------------------- make-multiplication-subnode [150] 100.0% [162] 880(0.2%) 880(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------------- taylor [156] 36.6% simplify [90] 63.4% [163] 3216(0.6%) 1132(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? 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[174] 21.7% return/no-unsupplied [175] 6.8% -------------------------------------------------------------------------------- for-loop [46] 14.2% taylor [156] 31.6% simplify [90] 54.2% [164] 2946(0.6%) 472(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [173] 84.0% -------------------------------------------------------------------------------- composed [157] 46.5% append-map [44] 53.5% [165] 1892(0.4%) 1892(0.4%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------------- ulp-difference [153] 14.6% ->flonum [158] 31.9% sample-default [114] 53.5% [166] 1492(0.3%) 1492(0.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- for-loop [161] 17.6% f94 [149] 20.6% gather-multiplicative-terms [159] 20.7% make-multiplication-subnode [150] 41.1% [167] 1148(0.2%) 1148(0.2%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- combine-mterms [160] 100.0% [168] 676(0.1%) 676(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 -------------------------------------------------------------------------------- ->flonum [158] 100.0% [169] 408(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [172] 100.0% -------------------------------------------------------------------------------- for-loop [161] 100.0% [170] 240(0.0%) 240(0.0%) make-multiplication-subsubsubnode ...uce.rkt:253:0 -------------------------------------------------------------------------------- for-loop [161] 100.0% [171] 238(0.0%) 238(0.0%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------------- ??? [169] 0.5% bfcbrt [155] 3.7% real->bigfloat [125] 34.8% bfsub [154] 61.0% [172] 76876(14.6%) 76876(14.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- debug-print [164] 100.0% [173] 2474(0.5%) 2474(0.5%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- debug7 [163] 100.0% [174] 698(0.1%) 240(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [176] 65.6% -------------------------------------------------------------------------------- debug7 [163] 100.0% [175] 220(0.0%) 220(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------------- ??? [174] 0.4% ??? [117] 4.7% ...higher-order.rkt:373:33 [132] 10.6% loop [112] 21.4% ??? [148] 62.9% [176] 105916(20.1%) 3016(0.6%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [177] 96.7% -------------------------------------------------------------------------------- ->flonum [158] 1.0% ??? [147] 33.2% ??? [176] 65.8% [177] 155612(29.5%) 82170(15.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [178] 44.9% ??? [179] 2.3% -------------------------------------------------------------------------------- ??? [177] 100.0% [178] 69838(13.2%) 41244(7.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [180] 40.9% -------------------------------------------------------------------------------- ??? [177] 100.0% [179] 3604(0.7%) 2124(0.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [181] 41.1% -------------------------------------------------------------------------------- ??? [178] 100.0% [180] 28594(5.4%) 28594(5.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------- ??? [179] 100.0% [181] 1480(0.3%) 1480(0.3%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------------