Profiling results ----------------- Total cpu time observed: 77256ms (out of 78008ms) Number of samples taken: 340 (once every 227ms) (Hiding functions with self<1.0% and local<2.0%: 12 of 195 hidden) =============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =============================================================================== ??? [52] 100.0% [1] 74632(96.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ------------------------------------------------------------------------------- ??? [52] 100.0% [2] 53858(69.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [16] 59.2% for-loop [18] 36.3% get-final-combination [24] 3.8% loop [62] 0.8% ------------------------------------------------------------------------------- loop [82] 5.8% location-do [67] 94.2% [3] 25046(32.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [17] 88.2% f3 [109] 8.4% taylor-sqrt [155] 1.6% taylor [118] 1.0% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [4] 20072(26.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [31] 88.4% hash-ref! [91] 8.3% simplify [100] 3.3% ------------------------------------------------------------------------------- loop [127] 11.1% ??? [52] 88.9% [5] 18580(24.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [32] 40.6% iterate-egraph!5 [36] 34.7% for-loop [23] 24.7% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [6] 18558(24.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [7] 16682(21.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [8] 15412(19.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [9] 8660(11.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% ------------------------------------------------------------------------------- post-process [29] 4.4% loop [127] 95.6% [10] 5034(6.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [32] 100.0% ------------------------------------------------------------------------------- f3 [109] 100.0% [11] 1006(1.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [25] 100.0% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [12] 826(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [91] 62.1% for-loop [28] 37.9% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [13] 682(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [26] 100.0% ------------------------------------------------------------------------------- f3 [109] 100.0% [14] 650(0.8%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [27] 100.0% ------------------------------------------------------------------------------- profile-thunk14 [1] 99.7% [15] 74854(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [52] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 31862(41.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [29] 100.0% ------------------------------------------------------------------------------- approximate9 [3] 100.0% [17] 22090(28.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 19524(25.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [30] 100.0% ------------------------------------------------------------------------------- ??? [6] 100.0% [19] 18558(24.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [31] 78.0% hash-ref! [91] 20.0% simplify [100] 2.0% ------------------------------------------------------------------------------- ??? [7] 100.0% [20] 16682(21.6%) 188(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [91] 99.4% ------------------------------------------------------------------------------- ??? [8] 100.0% [21] 15412(19.9%) 236(0.3%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [91] 96.6% simplify [100] 2.6% ------------------------------------------------------------------------------- ??? [9] 100.0% [22] 8660(11.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [33] 100.0% ------------------------------------------------------------------------------- simplify [5] 100.0% [23] 4590(5.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [36] 95.3% simplify-expr [32] 4.7% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 2064(2.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [34] 100.0% ------------------------------------------------------------------------------- taylor-sqrt [155] 16.7% taylor-invert [11] 83.3% [25] 1208(1.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [91] 83.3% simplify [100] 16.7% ------------------------------------------------------------------------------- ??? [13] 100.0% [26] 682(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [121] 100.0% ------------------------------------------------------------------------------- combine-mterms [14] 100.0% [27] 650(0.8%) 450(0.6%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [91] 30.8% ------------------------------------------------------------------------------- ??? [12] 100.0% [28] 424(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- finalize-table! [16] 100.0% [29] 31862(41.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [35] 76.6% loop [127] 19.9% localize-error [38] 1.5% ??? [47] 1.3% completely-simplify-alt [10] 0.7% ------------------------------------------------------------------------------- for-loop [18] 100.0% [30] 19524(25.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [37] 84.6% finalize-iter! [39] 6.4% localize-error [38] 4.7% gen-series! [41] 3.2% choose-best-alt! [42] 1.1% ------------------------------------------------------------------------------- ??? [4] 19.8% for-loop [19] 80.2% [31] 18362(23.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- for-loop [23] 1.7% completely-simplify-alt [10] 39.3% simplify [5] 59.0% [32] 12802(16.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [36] 88.8% loop [40] 9.7% mk-egraph [43] 1.6% ------------------------------------------------------------------------------- for-loop [22] 100.0% [33] 8660(11.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- get-final-combination [24] 100.0% [34] 2064(2.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [127] 100.0% ------------------------------------------------------------------------------- post-process [29] 100.0% [35] 24416(31.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [44] 100.0% ------------------------------------------------------------------------------- for-loop [23] 19.7% simplify [5] 29.0% simplify-expr [32] 51.2% [36] 22176(28.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [45] 94.8% map-enodes [49] 5.2% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [37] 16516(21.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% ------------------------------------------------------------------------------- post-process [29] 16.0% run-iter! [30] 31.4% loop [127] 52.6% [38] 2900(3.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [39] 1246(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [47] 100.0% ------------------------------------------------------------------------------- simplify-expr [32] 100.0% [40] 1238(1.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [48] 100.0% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [41] 630(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [50] 100.0% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [42] 220(0.3%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [47] 100.0% ------------------------------------------------------------------------------- simplify-expr [32] 100.0% [43] 200(0.3%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [51] 100.0% ------------------------------------------------------------------------------- simplify-node [128] 1.1% f3 [109] 6.2% for-loop [35] 92.6% [44] 24416(31.6%) 624(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 loop [127] 76.0% taylor-alt [53] 16.6% f3 [109] 5.0% parse-loop12 [121] 1.2% free-variables [132] 0.4% ------------------------------------------------------------------------------- iterate-egraph!5 [36] 100.0% [45] 21032(27.2%) 868(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [54] 57.1% loop [55] 33.6% apply-match [63] 3.1% ------------------------------------------------------------------------------- simplify! [37] 100.0% [46] 16516(21.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [52] 100.0% ------------------------------------------------------------------------------- debug7 [126] 9.7% choose-best-alt! [42] 10.5% post-process [29] 20.3% finalize-iter! [39] 59.6% [47] 2092(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 70.2% atab-pick-alt8 [58] 10.5% assoc-has-key? [59] 9.7% atab-add-altns [60] 9.7% ------------------------------------------------------------------------------- loop [40] 100.0% [48] 1238(1.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [57] 100.0% ------------------------------------------------------------------------------- iterate-egraph!5 [36] 100.0% [49] 1144(1.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [127] 100.0% ------------------------------------------------------------------------------- gen-series! [41] 100.0% [50] 630(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [53] 100.0% ------------------------------------------------------------------------------- mk-egraph [43] 33.3% expr->enode [51] 66.7% [51] 200(0.3%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [51] 66.7% mk-enode! [72] 33.3% ------------------------------------------------------------------------------- for-loop [46] 7.4% run [15] 46.0% [52] 75894(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.7% run-improve58 [2] 32.2% loop [62] 14.7% simplify [5] 7.4% ------------------------------------------------------------------------------- for-loop [50] 2.5% append-map [44] 16.8% loop [127] 80.7% [53] 25046(32.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [61] 100.0% ------------------------------------------------------------------------------- for-loop [54] 49.1% one-iter [45] 50.9% [54] 12018(15.6%) 3932(5.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [54] 49.1% match-e [69] 33.6% ------------------------------------------------------------------------------- one-iter [45] 100.0% [55] 7062(9.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [63] 100.0% ------------------------------------------------------------------------------- ??? [47] 100.0% [56] 1468(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [64] 100.0% ------------------------------------------------------------------------------- pass [48] 100.0% [57] 1238(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [65] 66.9% for-loop [66] 33.1% ------------------------------------------------------------------------------- ??? [47] 100.0% [58] 220(0.3%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [106] 100.0% ------------------------------------------------------------------------------- ??? [47] 100.0% [59] 202(0.3%) 202(0.3%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 ------------------------------------------------------------------------------- ??? [47] 100.0% [60] 202(0.3%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [64] 100.0% ------------------------------------------------------------------------------- taylor-alt [53] 100.0% [61] 25046(32.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [67] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [52] 98.2% [62] 22444(29.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [68] 54.8% make-exacts* [79] 34.6% loop [80] 9.6% for-loop [77] 1.0% ------------------------------------------------------------------------------- one-iter [45] 8.3% loop [55] 91.7% [63] 7704(10.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [69] 30.6% for-loop [70] 21.8% merge-egraph-nodes! [83] 16.5% loop! [141] 11.1% mk-enode! [72] 8.6% update-leader! [94] 5.2% reduce-to-single! [74] 3.1% substitute-e [75] 3.0% ------------------------------------------------------------------------------- atab-add-altns [60] 12.1% for-loop [56] 87.9% [64] 1670(2.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [71] 88.0% loop [78] 12.0% ------------------------------------------------------------------------------- for-loop [57] 100.0% [65] 828(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [73] 72.9% for-loop [76] 27.1% ------------------------------------------------------------------------------- for-loop [57] 100.0% [66] 410(0.5%) 410(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------------- loop [82] 1.4% for-loop [61] 46.4% location-do [67] 52.2% [67] 25046(32.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [67] 52.2% approximate9 [3] 43.5% loop [82] 4.3% ------------------------------------------------------------------------------- loop [62] 100.0% [68] 12298(15.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [80] 52.3% make-exacts* [79] 41.0% eval-prog [122] 6.7% ------------------------------------------------------------------------------- for-loop [92] 14.3% apply-match [63] 16.4% for-loop [54] 69.4% [69] 10446(13.5%) 4038(5.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [81] 46.5% for-loop [92] 9.0% constant? [86] 3.9% loop [127] 2.0% list-cartesian-product [93] 1.9% ------------------------------------------------------------------------------- apply-match [63] 100.0% [70] 1682(2.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [141] 51.1% merge-egraph-nodes! [83] 48.9% ------------------------------------------------------------------------------- atab-add-altn [64] 100.0% [71] 1470(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [84] 71.2% for-loop [85] 28.8% ------------------------------------------------------------------------------- expr->enode [51] 23.3% apply-match [63] 76.7% [72] 860(1.1%) 660(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [90] 23.3% ------------------------------------------------------------------------------- argmin [65] 100.0% [73] 604(0.8%) 202(0.3%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [87] 66.6% ------------------------------------------------------------------------------- apply-match [63] 100.0% [74] 242(0.3%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [88] 100.0% ------------------------------------------------------------------------------- substitute-e [75] 50.0% apply-match [63] 50.0% [75] 232(0.3%) 232(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [75] 50.0% ------------------------------------------------------------------------------- argmin [65] 100.0% [76] 224(0.3%) 224(0.3%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 ------------------------------------------------------------------------------- loop [62] 100.0% [77] 222(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [89] 100.0% ------------------------------------------------------------------------------- atab-add-altn [64] 100.0% [78] 200(0.3%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [127] 100.0% ------------------------------------------------------------------------------- loop [68] 39.4% loop [62] 60.6% [79] 12812(16.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [127] 54.3% map [116] 44.1% eval-prog [122] 1.6% ------------------------------------------------------------------------------- loop [62] 25.2% loop [68] 74.8% [80] 8588(11.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [116] 100.0% ------------------------------------------------------------------------------- match-e [69] 100.0% [81] 5370(7.0%) 2202(2.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [93] 32.9% for-loop [92] 32.2% loop [127] 4.1% ------------------------------------------------------------------------------- loop [82] 50.0% location-do [67] 50.0% [82] 2758(3.6%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [82] 50.0% approximate9 [3] 26.3% location-do [67] 23.7% ------------------------------------------------------------------------------- for-loop [96] 6.6% for-loop [70] 39.3% apply-match [63] 54.1% [83] 2094(2.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [94] 55.2% for-loop [97] 19.1% for-loop [96] 16.2% enode-merge! [99] 9.6% ------------------------------------------------------------------------------- composed [124] 17.4% best-and-tied-at-points [71] 82.6% [84] 1266(1.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [95] 65.1% eval-prog [122] 34.9% ------------------------------------------------------------------------------- best-and-tied-at-points [71] 100.0% [85] 424(0.5%) 424(0.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------------- match-e [69] 100.0% [86] 410(0.5%) 410(0.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------------- expression-cost [73] 100.0% [87] 402(0.5%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- reduce-to-single! [74] 100.0% [88] 242(0.3%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [98] 100.0% ------------------------------------------------------------------------------- for-loop [77] 100.0% [89] 222(0.3%) 222(0.3%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ------------------------------------------------------------------------------- mk-enode! [72] 100.0% [90] 200(0.3%) 200(0.3%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 ------------------------------------------------------------------------------- for-loop [27] 0.0% for-loop [28] 0.2% compile [87] 0.4% eval-prog [122] 0.5% ??? [12] 0.5% f3 [109] 0.7% taylor-sqrt [155] 0.8% ??? [103] 1.1% first-nonzero-exp [25] 1.1% ??? [142] 1.2% ??? [4] 1.5% loop [127] 1.9% for-loop [33] 2.3% for-loop [21] 4.4% for-loop [19] 5.8% ??? [101] 8.7% localize-error [38] 9.0% loop [17] 11.0% for-loop [20] 12.1% ??? [31] 36.5% [91] 26414(34.2%) 602(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [6] 37.4% ??? [7] 12.3% f3 [109] 11.2% ??? [4] 8.7% ??? [101] 8.7% simplify [100] 7.6% ??? [8] 4.7% ??? [103] 3.0% ??? [9] 2.3% parse-loop12 [121] 1.8% ??? [12] 0.7% bigfloat-hash [105] 0.5% taylor-sqrt [155] 0.3% ??? [13] 0.2% ------------------------------------------------------------------------------- match-e [69] 37.2% for-loop [81] 62.8% [92] 3646(4.7%) 242(0.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [69] 79.1% ??? [104] 14.3% ------------------------------------------------------------------------------- match-e [69] 9.6% list-cartesian-product [93] 15.0% for-loop [81] 75.4% [93] 2076(2.7%) 1878(2.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [93] 15.0% for-loop [108] 9.5% ------------------------------------------------------------------------------- apply-match [63] 23.7% merge-egraph-nodes! [83] 76.3% [94] 1696(2.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [102] 87.1% update-en-expr [147] 12.9% ------------------------------------------------------------------------------- errors [84] 100.0% [95] 824(1.1%) 422(0.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [140] 24.5% ??? [106] 24.3% ------------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [96] 408(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [83] 51.0% loop! [141] 49.0% ------------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [97] 400(0.5%) 400(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------------- make-sequence [88] 100.0% [98] 242(0.3%) 242(0.3%) ??? ...acket/collects/racket/private/for.rkt:428:7 ------------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [99] 200(0.3%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [107] 100.0% ------------------------------------------------------------------------------- first-nonzero-exp [25] 0.9% for-loop [21] 1.7% parse-loop12 [121] 1.9% loop [127] 2.6% ??? [4] 2.8% for-loop [19] 4.5% taylor-sqrt [155] 4.6% hash-ref! [91] 77.3% [100] 23340(30.2%) 404(0.5%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f3 [109] 57.4% parse-loop12 [121] 30.3% debug-print [123] 5.5% debug7 [126] 4.3% simplify-node [128] 0.9% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [101] 8780(11.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [91] 100.0% ------------------------------------------------------------------------------- update-leader! [94] 100.0% [102] 1478(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [110] 100.0% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [103] 1020(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [127] 60.6% hash-ref! [91] 39.4% ------------------------------------------------------------------------------- for-loop [92] 100.0% [104] 620(0.8%) 420(0.5%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 custom-in-set [114] 32.3% ------------------------------------------------------------------------------- hash-ref! [91] 100.0% [105] 618(0.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [112] 35.0% sig+exp->bigfloat [113] 34.0% bigfloat->sig+exp [115] 31.1% ------------------------------------------------------------------------------- for-loop [95] 47.6% atab-pick-alt8 [58] 52.4% [106] 420(0.5%) 200(0.3%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [111] 52.4% ------------------------------------------------------------------------------- enode-merge! [99] 100.0% [107] 200(0.3%) 200(0.3%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------------------- list-cartesian-product [93] 100.0% [108] 198(0.3%) 198(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------------- for-loop [134] 0.1% simplify-node [128] 0.4% ??? [142] 1.3% composed [124] 1.4% loop [127] 1.9% append-map [44] 3.8% approximate9 [3] 3.8% parse-loop12 [121] 4.0% f3 [109] 6.8% hash-ref! [91] 18.2% simplify [100] 28.5% map [116] 29.6% [109] 19570(25.3%) 3362(4.4%) f3 ...et/collects/racket/match/compiler.rkt:499:40 map [116] 57.7% for-loop [117] 11.2% f3 [109] 6.8% append-map [44] 5.1% hash-ref! [91] 3.1% taylor [118] 2.6% composed [124] 1.6% taylor-sqrt [155] 1.4% taylor-invert [11] 0.9% combine-mterms [14] 0.7% parse-app [133] 0.6% parse-loop12 [121] 0.4% compose [173] 0.1% ------------------------------------------------------------------------------- for-loop [102] 100.0% [110] 1478(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [119] 100.0% ------------------------------------------------------------------------------- ??? [106] 100.0% [111] 220(0.3%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [120] 100.0% ------------------------------------------------------------------------------- bigfloat-hash [105] 100.0% [112] 216(0.3%) 216(0.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------------- bigfloat-hash [105] 100.0% [113] 210(0.3%) 210(0.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------------- ??? [104] 100.0% [114] 200(0.3%) 200(0.3%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------------------- bigfloat-hash [105] 100.0% [115] 192(0.2%) 192(0.2%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ------------------------------------------------------------------------------- ??? [142] 0.2% parse-loop12 [121] 5.8% make-exacts* [79] 19.0% loop [80] 28.9% f3 [109] 46.0% [116] 29742(38.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [127] 50.2% f3 [109] 25.1% parse-loop12 [121] 17.8% ??? [142] 3.7% simplify-node [128] 1.3% taylor-sqrt [155] 0.7% ??? [131] 0.6% ->flonum [145] 0.2% make-multiplication-node [143] 0.2% ------------------------------------------------------------------------------- f3 [109] 100.0% [117] 2192(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [122] 89.7% ??? [140] 10.3% ------------------------------------------------------------------------------- ??? [142] 12.8% approximate9 [3] 14.3% f3 [109] 73.0% [118] 1694(2.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [123] 51.9% loop [127] 36.2% debug7 [126] 11.8% ------------------------------------------------------------------------------- for-loop [110] 100.0% [119] 1478(1.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [125] 100.0% ------------------------------------------------------------------------------- best-alt [111] 100.0% [120] 220(0.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [124] 100.0% ------------------------------------------------------------------------------- f3 [109] 1.8% for-loop [26] 4.2% hash-ref! [91] 4.3% append-map [44] 5.0% loop [127] 10.9% simplify [100] 16.0% parse-loop12 [121] 28.1% map [116] 29.7% [121] 16330(21.1%) 10626(13.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [121] 28.1% loop [127] 18.1% map [116] 8.5% f3 [109] 5.3% make-multiplication-node [143] 3.7% simplify [100] 2.7% parse-app [133] 1.8% for-loop [134] 1.6% loop [135] 0.7% simplify-node [128] 0.7% ??? [131] 0.4% ------------------------------------------------------------------------------- make-exacts* [79] 6.1% errors [84] 12.8% loop [68] 23.9% for-loop [117] 57.2% [122] 3440(4.5%) 1762(2.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [171] 18.0% hash-ref! [91] 18.0% go [136] 6.5% ??? [137] 6.4% ------------------------------------------------------------------------------- taylor [118] 40.9% simplify [100] 59.1% [123] 2154(2.8%) 818(1.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [130] 62.0% ------------------------------------------------------------------------------- loop [120] 11.7% f3 [109] 88.3% [124] 1884(2.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f3 [109] 77.7% errors [84] 11.7% free-variables [132] 10.6% ------------------------------------------------------------------------------- hash-update! [119] 100.0% [125] 1478(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [129] 100.0% ------------------------------------------------------------------------------- taylor [118] 16.6% simplify [100] 83.4% [126] 1208(1.6%) 604(0.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [138] 16.7% ??? [47] 16.7% assoc-ref [139] 16.6% ------------------------------------------------------------------------------- for-loop [81] 0.0% loop [78] 0.0% map-enodes [49] 0.1% loop! [141] 0.4% make-exacts* [79] 0.4% match-e [69] 0.8% taylor [118] 0.9% ??? [103] 1.1% map [116] 1.3% extract-alt [34] 1.9% post-process [29] 2.8% parse-loop12 [121] 5.2% append-map [44] 29.8% loop [127] 55.3% [127] 54022(69.9%) 676(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [127] 55.3% taylor-alt [53] 29.8% parse-loop12 [121] 4.1% simplify [5] 1.9% localize-error [38] 1.7% f3 [109] 1.5% hash-ref! [91] 1.1% completely-simplify-alt [10] 1.1% simplify [100] 0.9% ??? [140] 0.8% loop! [141] 0.4% ??? [142] 0.3% bf* [161] 0.1% for-loop [144] 0.1% ->flonum [145] 0.0% loop [150] 0.0% ------------------------------------------------------------------------------- simplify [100] 8.1% parse-loop12 [121] 16.1% map [116] 75.8% [128] 2498(3.2%) 824(1.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [44] 33.8% f3 [109] 24.5% gather-additive-terms6 [149] 8.7% ------------------------------------------------------------------------------- ??? [125] 100.0% [129] 1478(1.9%) 1236(1.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [147] 16.4% ------------------------------------------------------------------------------- debug-print [123] 100.0% [130] 1336(1.7%) 1336(1.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------------- parse-loop12 [121] 25.1% map [116] 74.9% [131] 806(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [146] 75.2% for-loop [151] 24.8% ------------------------------------------------------------------------------- composed [124] 30.3% append-map [44] 69.7% [132] 660(0.9%) 660(0.9%) free-variables ...ock/herbie/src/programs.rkt:89:0 ------------------------------------------------------------------------------- f3 [109] 35.0% parse-loop12 [121] 65.0% [133] 634(0.8%) 450(0.6%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [152] 29.0% ------------------------------------------------------------------------------- parse-loop12 [121] 100.0% [134] 612(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [143] 65.7% f3 [109] 34.3% ------------------------------------------------------------------------------- parse-loop12 [121] 1.8% loop [135] 98.2% [135] 242(0.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [135] 98.2% ->flonum [145] 1.8% ------------------------------------------------------------------------------- eval-prog [122] 100.0% [136] 222(0.3%) 222(0.3%) go .../collects/racket/private/qq-and-or.rkt:50:20 ------------------------------------------------------------------------------- eval-prog [122] 100.0% [137] 220(0.3%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [148] 100.0% ------------------------------------------------------------------------------- debug7 [126] 100.0% [138] 202(0.3%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [176] 100.0% ------------------------------------------------------------------------------- debug7 [126] 100.0% [139] 200(0.3%) 200(0.3%) assoc-ref ...collects/racket/private/dict.rkt:56:0 ------------------------------------------------------------------------------- for-loop [95] 1.0% for-loop [117] 1.1% loop [127] 98.0% [140] 20892(27.0%) 1456(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [153] 73.1% real->bigfloat [154] 16.6% ??? [176] 2.0% ------------------------------------------------------------------------------- for-loop [96] 5.2% loop [127] 21.3% for-loop [70] 34.5% apply-match [63] 39.0% [141] 1914(2.5%) 402(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [157] 46.0% loop [127] 21.3% set [160] 17.0% ------------------------------------------------------------------------------- loop [127] 35.9% map [116] 64.1% [142] 1772(2.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [91] 37.9% f3 [109] 35.3% taylor-sqrt [155] 12.5% taylor [118] 12.2% map [116] 2.1% ------------------------------------------------------------------------------- for-loop [134] 28.2% map [116] 29.6% parse-loop12 [121] 42.3% [143] 1428(1.8%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [156] 100.0% ------------------------------------------------------------------------------- loop [127] 100.0% [144] 1144(1.5%) 220(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [158] 42.1% eval-const-expr [159] 38.6% ------------------------------------------------------------------------------- map [116] 23.5% loop [135] 26.1% loop [127] 50.4% [145] 928(1.2%) 242(0.3%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [180] 48.5% ??? [168] 25.4% ------------------------------------------------------------------------------- ??? [131] 100.0% [146] 606(0.8%) 606(0.8%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------------- update-leader! [94] 47.4% for-loop [129] 52.6% [147] 460(0.6%) 460(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------------- ??? [137] 100.0% [148] 220(0.3%) 220(0.3%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------- simplify-node [128] 100.0% [149] 218(0.3%) 218(0.3%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 ------------------------------------------------------------------------------- loop [127] 12.5% loop [150] 87.5% [150] 200(0.3%) 200(0.3%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [150] 87.5% ------------------------------------------------------------------------------- ??? [131] 100.0% [151] 200(0.3%) 200(0.3%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 ------------------------------------------------------------------------------- parse-app [133] 33.3% loop [152] 66.7% [152] 184(0.2%) 184(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [152] 66.7% ------------------------------------------------------------------------------- ??? [140] 100.0% [153] 15268(19.8%) 282(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [169] 45.1% bf* [161] 26.6% ...higher-order.rkt:373:33 [162] 19.0% ...higher-order.rkt:369:33 [163] 6.1% ??? [168] 1.3% ------------------------------------------------------------------------------- ??? [140] 100.0% [154] 3472(4.5%) 3472(4.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------------- hash-ref! [91] 12.0% map [116] 12.1% ??? [142] 13.3% approximate9 [3] 24.2% f3 [109] 38.5% [155] 1672(2.2%) 202(0.3%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [100] 63.8% hash-ref! [91] 12.1% first-nonzero-exp [25] 12.1% ------------------------------------------------------------------------------- make-multiplication-node [143] 100.0% [156] 1428(1.8%) 200(0.3%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [165] 43.7% for-loop [166] 42.3% ------------------------------------------------------------------------------- loop! [141] 100.0% [157] 1080(1.4%) 420(0.5%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [164] 61.1% ------------------------------------------------------------------------------- for-loop [144] 100.0% [158] 482(0.6%) 482(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------------- for-loop [144] 100.0% [159] 442(0.6%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [167] 100.0% ------------------------------------------------------------------------------- loop! [141] 100.0% [160] 432(0.6%) 432(0.6%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------------- loop [127] 5.8% ??? [153] 94.2% [161] 4310(5.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [169] 100.0% ------------------------------------------------------------------------------- ??? [153] 100.0% [162] 2902(3.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [170] 90.0% ??? [176] 10.0% ------------------------------------------------------------------------------- ??? [153] 100.0% [163] 930(1.2%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [176] 75.7% ??? [170] 24.3% ------------------------------------------------------------------------------- custom-set-union [157] 100.0% [164] 660(0.9%) 218(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [172] 67.0% ------------------------------------------------------------------------------- make-multiplication-subnode [156] 100.0% [165] 624(0.8%) 624(0.8%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------------- make-multiplication-subnode [156] 100.0% [166] 604(0.8%) 220(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [174] 33.4% compose [173] 30.1% ------------------------------------------------------------------------------- eval-const-expr [159] 100.0% [167] 442(0.6%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [171] 100.0% ------------------------------------------------------------------------------- ??? [153] 46.1% ->flonum [145] 53.9% [168] 438(0.6%) 438(0.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------------- bf* [161] 38.5% ??? [153] 61.5% [169] 11200(14.5%) 1276(1.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [175] 41.4% ??? [180] 25.9% bfneg [177] 21.3% ------------------------------------------------------------------------------- ...higher-order.rkt:369:33 [163] 8.0% ...higher-order.rkt:373:33 [162] 92.0% [170] 2838(3.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [176] 100.0% ------------------------------------------------------------------------------- eval-prog [122] 18.4% expression-induct31 [167] 20.8% inductor [171] 60.8% [171] 1060(1.4%) 222(0.3%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [171] 60.8% integer->bigfloat [178] 19.2% ...e/case-arrow.rkt:150:50 [179] 9.6% ------------------------------------------------------------------------------- for-loop [164] 100.0% [172] 442(0.6%) 442(0.6%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------- for-loop [166] 47.4% f3 [109] 52.6% [173] 384(0.5%) 384(0.5%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------------- for-loop [166] 100.0% [174] 202(0.3%) 202(0.3%) make-multiplication-subsubsubnode ...uce.rkt:253:0 ------------------------------------------------------------------------------- ??? [169] 100.0% [175] 4638(6.0%) 3110(4.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [181] 32.9% ------------------------------------------------------------------------------- ??? [138] 4.5% ...higher-order.rkt:373:33 [162] 6.5% ??? [140] 9.5% ...higher-order.rkt:369:33 [163] 15.8% ??? [170] 63.7% [176] 4458(5.8%) 202(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [180] 95.5% ------------------------------------------------------------------------------- ??? [169] 100.0% [177] 2388(3.1%) 2146(2.8%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [181] 10.1% ------------------------------------------------------------------------------- inductor [171] 100.0% [178] 634(0.8%) 634(0.8%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------------------- inductor [171] 100.0% [179] 204(0.3%) 204(0.3%) ...e/case-arrow.rkt:150:50 (unknown source) ------------------------------------------------------------------------------- ->flonum [145] 5.9% ??? [169] 38.1% ??? [176] 56.0% [180] 7604(9.8%) 3012(3.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [182] 60.4% ------------------------------------------------------------------------------- bfneg [177] 13.7% bfmul [175] 86.3% [181] 1770(2.3%) 1770(2.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------- ??? [180] 100.0% [182] 4592(5.9%) 3438(4.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [183] 25.1% ------------------------------------------------------------------------------- ??? [182] 100.0% [183] 1154(1.5%) 1154(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------