Profiling results ----------------- Total cpu time observed: 333456ms (out of 339760ms) Number of samples taken: 2647 (once every 126ms) (Hiding functions with self<1.0% and local<2.0%: 11 of 209 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [61] 100.0% [1] 309430(92.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% -------------------------------------------------------------------------------- ??? [61] 100.0% [2] 147172(44.1%) 222(0.1%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [15] 65.9% for-loop [16] 23.0% loop [14] 7.9% get-final-combination [22] 2.9% setup-prog [26] 0.2% -------------------------------------------------------------------------------- simplify-alt [35] 0.8% loop [87] 13.1% ??? [61] 86.1% [3] 29324(8.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 51.1% iterate-egraph!5 [29] 29.3% for-loop [20] 19.0% loop [34] 0.7% -------------------------------------------------------------------------------- hash-ref! [170] 100.0% [4] 28140(8.4%) 200(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 99.3% -------------------------------------------------------------------------------- hash-ref! [170] 100.0% [5] 21290(6.4%) 194(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 99.1% -------------------------------------------------------------------------------- post-process [27] 2.6% loop [87] 97.4% [6] 15928(4.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 100.0% -------------------------------------------------------------------------------- hash-ref! [170] 100.0% [7] 4818(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% -------------------------------------------------------------------------------- location-do [79] 30.8% loop [8] 69.2% [8] 4664(1.4%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [8] 69.2% approximate9 [88] 30.8% -------------------------------------------------------------------------------- f94 [159] 100.0% [9] 4418(1.3%) 1956(0.6%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [23] 55.7% -------------------------------------------------------------------------------- f94 [159] 100.0% [10] 3504(1.1%) 408(0.1%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [133] 48.1% first-nonzero-exp [24] 40.3% -------------------------------------------------------------------------------- ??? [64] 25.1% f94 [159] 74.9% [11] 868(0.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [133] 52.3% first-nonzero-exp [24] 47.7% -------------------------------------------------------------------------------- hash-ref! [170] 100.0% [12] 394(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [25] 100.0% -------------------------------------------------------------------------------- profile-thunk14 [1] 99.7% [13] 310260(93.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [61] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 6.4% ??? [61] 93.6% [14] 180060(54.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [28] 47.6% make-exacts* [36] 38.5% loop [38] 13.4% for-loop [33] 0.5% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 96938(29.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 33900(10.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [30] 100.0% -------------------------------------------------------------------------------- simplify [3] 48.5% completely-simplify-alt [6] 51.5% [17] 30904(9.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [29] 98.1% loop [34] 1.9% -------------------------------------------------------------------------------- ??? [4] 100.0% [18] 27940(8.4%) 196(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [31] 62.5% hash-ref! [170] 30.1% simplify [133] 7.0% -------------------------------------------------------------------------------- ??? [5] 100.0% [19] 21096(6.3%) 220(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [170] 98.5% simplify [133] 0.9% -------------------------------------------------------------------------------- simplify [3] 100.0% [20] 5562(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [29] 100.0% -------------------------------------------------------------------------------- ??? [7] 100.0% [21] 4818(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [170] 91.9% simplify [133] 8.1% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [22] 4288(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [32] 100.0% -------------------------------------------------------------------------------- combine-mterms [9] 100.0% [23] 2462(0.7%) 1226(0.4%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [170] 50.2% -------------------------------------------------------------------------------- taylor-sqrt [122] 17.7% taylor-quotient [11] 18.6% taylor-invert [10] 63.6% [24] 2220(0.7%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [170] 64.2% simplify [133] 35.8% -------------------------------------------------------------------------------- ??? [12] 100.0% [25] 394(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [170] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [26] 240(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [35] 100.0% -------------------------------------------------------------------------------- finalize-table! [15] 100.0% [27] 96938(29.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [37] 78.7% loop [87] 18.0% ??? [56] 2.6% completely-simplify-alt [6] 0.4% localize-error [42] 0.2% -------------------------------------------------------------------------------- loop [14] 100.0% [28] 85684(25.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [38] 55.6% make-exacts* [36] 43.6% eval-prog [103] 0.5% loop [48] 0.3% -------------------------------------------------------------------------------- for-loop [20] 12.5% simplify [3] 19.3% simplify-expr [17] 68.2% [29] 44456(13.3%) 300(0.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [39] 97.9% -------------------------------------------------------------------------------- for-loop [16] 100.0% [30] 33900(10.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [40] 75.0% gen-series! [41] 16.7% finalize-iter! [43] 4.4% localize-error [42] 2.0% gen-rewrites! [47] 1.2% choose-best-alt! [49] 0.7% -------------------------------------------------------------------------------- ??? [179] 5.8% for-loop [18] 94.2% [31] 21436(6.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [170] 100.0% -------------------------------------------------------------------------------- get-final-combination [22] 100.0% [32] 4288(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [87] 89.8% loop [46] 10.2% -------------------------------------------------------------------------------- loop [14] 100.0% [33] 892(0.3%) 186(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [45] 79.1% -------------------------------------------------------------------------------- simplify [3] 24.9% simplify-expr [17] 75.1% [34] 796(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [44] 100.0% -------------------------------------------------------------------------------- setup-prog [26] 100.0% [35] 240(0.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------------- loop [28] 35.0% loop [14] 65.0% [36] 106724(32.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [87] 50.6% map [50] 49.2% eval-prog [103] 0.2% -------------------------------------------------------------------------------- post-process [27] 100.0% [37] 76332(22.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [51] 100.0% -------------------------------------------------------------------------------- loop [14] 33.6% loop [28] 66.4% [38] 71778(21.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [29] 100.0% [39] 43520(13.1%) 2374(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [52] 74.5% loop [54] 17.7% apply-match [63] 2.3% -------------------------------------------------------------------------------- run-iter! [30] 100.0% [40] 25434(7.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [53] 100.0% -------------------------------------------------------------------------------- run-iter! [30] 100.0% [41] 5650(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [55] 100.0% -------------------------------------------------------------------------------- post-process [27] 7.8% run-iter! [30] 24.4% loop [87] 67.8% [42] 2792(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [170] 85.0% location-hash [59] 7.8% sort [176] 7.2% -------------------------------------------------------------------------------- run-iter! [30] 100.0% [43] 1506(0.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [56] 100.0% -------------------------------------------------------------------------------- loop [34] 100.0% [44] 796(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [57] 100.0% -------------------------------------------------------------------------------- for-loop [33] 100.0% [45] 706(0.2%) 644(0.2%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [60] 8.8% -------------------------------------------------------------------------------- extract-alt [32] 100.0% [46] 438(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [165] 50.2% errors-score [185] 49.8% -------------------------------------------------------------------------------- run-iter! [30] 100.0% [47] 392(0.1%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [58] 100.0% -------------------------------------------------------------------------------- loop [28] 2.2% loop [48] 97.8% [48] 276(0.1%) 276(0.1%) loop /home/ztatlock/herbie/src/points.rkt:72:2 loop [48] 97.8% -------------------------------------------------------------------------------- run-iter! [30] 100.0% [49] 238(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [56] 100.0% -------------------------------------------------------------------------------- ??? [64] 0.2% gather-multiplicative-terms [166] 0.4% parse-loop12 [140] 0.5% f94 [159] 23.5% make-exacts* [36] 31.8% loop [38] 43.5% [50] 165040(49.5%) 1450(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [87] 74.3% f94 [159] 15.5% parse-loop12 [140] 2.8% ??? [64] 2.3% simplify-node [155] 2.0% ??? [118] 1.0% make-multiplication-node [156] 0.7% gather-multiplicative-terms [166] 0.4% taylor [180] 0.3% ->flonum [135] 0.2% ??? [151] 0.0% -------------------------------------------------------------------------------- parse-loop12 [140] 0.2% simplify-node [155] 1.9% f94 [159] 13.1% for-loop [37] 84.8% [51] 76530(23.0%) 2474(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [62] 80.4% f94 [159] 10.4% loop [87] 4.5% parse-loop12 [140] 3.1% free-variables [173] 0.6% loop [171] 0.3% -------------------------------------------------------------------------------- for-loop [52] 49.0% one-iter [39] 51.0% [52] 32444(9.7%) 11352(3.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [52] 49.0% match-e [72] 31.9% ??? [105] 0.6% -------------------------------------------------------------------------------- simplify! [40] 100.0% [53] 25434(7.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [61] 99.2% debug7 [184] 0.8% -------------------------------------------------------------------------------- one-iter [39] 100.0% [54] 7688(2.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [63] 100.0% -------------------------------------------------------------------------------- gen-series! [41] 100.0% [55] 5650(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [62] 100.0% -------------------------------------------------------------------------------- choose-best-alt! [49] 4.6% debug7 [184] 15.9% finalize-iter! [43] 29.4% post-process [27] 50.1% [56] 5126(1.5%) 616(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [65] 75.5% atab-pick-alt8 [68] 4.6% atab-add-altns [70] 3.9% ??? [191] 3.9% -------------------------------------------------------------------------------- pass [44] 100.0% [57] 796(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [66] 100.0% -------------------------------------------------------------------------------- gen-rewrites! [47] 100.0% [58] 392(0.1%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [67] 100.0% -------------------------------------------------------------------------------- localize-error [42] 100.0% [59] 218(0.1%) 0(0.0%) location-hash ...lock/herbie/src/programs.rkt:45:0 inductor [69] 100.0% -------------------------------------------------------------------------------- for-loop [45] 100.0% [60] 62(0.0%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [143] 100.0% -------------------------------------------------------------------------------- for-loop [53] 2.7% run [13] 48.0% [61] 315648(94.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.7% loop [14] 27.0% run-improve58 [2] 22.6% simplify [3] 2.7% -------------------------------------------------------------------------------- loop [87] 4.4% for-loop [55] 6.9% append-map [51] 88.7% [62] 81982(24.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [71] 100.0% -------------------------------------------------------------------------------- one-iter [39] 11.7% loop [54] 88.3% [63] 8702(2.6%) 198(0.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [82] 39.1% loop! [102] 16.9% for-loop [74] 16.0% match-e [72] 9.6% mk-enode! [93] 6.8% reduce-to-single! [76] 4.6% substitute-e [83] 4.6% -------------------------------------------------------------------------------- loop [87] 23.1% map [50] 76.9% [64] 7288(2.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [159] 64.7% hash-ref! [170] 25.4% map [50] 4.1% taylor-quotient [11] 3.0% taylor [180] 2.7% -------------------------------------------------------------------------------- ??? [56] 100.0% [65] 3872(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [73] 100.0% -------------------------------------------------------------------------------- for-loop [57] 100.0% [66] 796(0.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [75] 100.0% -------------------------------------------------------------------------------- for-loop [58] 100.0% [67] 392(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [77] 100.0% -------------------------------------------------------------------------------- ??? [56] 100.0% [68] 238(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [78] 100.0% -------------------------------------------------------------------------------- location-hash [59] 16.7% inductor [69] 83.3% [69] 218(0.1%) 218(0.1%) inductor .../ztatlock/herbie/src/programs.rkt:24:2 inductor [69] 83.3% -------------------------------------------------------------------------------- ??? [56] 100.0% [70] 200(0.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [73] 100.0% -------------------------------------------------------------------------------- taylor-alt [62] 100.0% [71] 81982(24.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [79] 100.0% -------------------------------------------------------------------------------- apply-match [63] 3.4% for-loop [90] 7.6% for-loop [52] 89.0% [72] 21524(6.5%) 13734(4.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [80] 20.9% list-cartesian-product [92] 5.8% for-loop [90] 5.2% custom-in-set [125] 2.9% constant? [181] 2.9% loop [87] 2.8% -------------------------------------------------------------------------------- atab-add-altns [70] 4.9% for-loop [65] 95.1% [73] 4072(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [81] 100.0% -------------------------------------------------------------------------------- apply-match [63] 100.0% [74] 1396(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [102] 56.9% substitute-e [83] 28.8% merge-egraph-nodes! [82] 14.3% -------------------------------------------------------------------------------- argmin [66] 100.0% [75] 796(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [84] 100.0% -------------------------------------------------------------------------------- apply-match [63] 100.0% [76] 400(0.1%) 400(0.1%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 -------------------------------------------------------------------------------- ??? [67] 33.3% matcher [95] 66.7% [77] 392(0.1%) 392(0.1%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [85] 66.7% -------------------------------------------------------------------------------- atab-pick-alt8 [68] 100.0% [78] 238(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [86] 100.0% -------------------------------------------------------------------------------- location-do [79] 40.7% for-loop [71] 59.3% [79] 81982(24.6%) 198(0.1%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [88] 56.8% location-do [79] 40.7% loop [8] 1.7% simplify [133] 0.5% -------------------------------------------------------------------------------- match-e [72] 100.0% [80] 5316(1.6%) 2268(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [90] 40.0% list-cartesian-product [92] 15.1% loop [109] 4.1% loop [87] 1.9% -------------------------------------------------------------------------------- atab-add-altn [73] 100.0% [81] 4072(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [89] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [82] 3.1% for-loop [74] 5.5% apply-match [63] 91.4% [82] 3604(1.1%) 200(0.1%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [91] 55.6% make-sequence [94] 13.3% loop! [102] 11.0% enode-merge! [97] 6.0% for-loop [98] 5.5% merge-egraph-nodes! [82] 3.1% -------------------------------------------------------------------------------- substitute-e [83] 12.5% for-loop [74] 37.7% apply-match [63] 49.9% [83] 802(0.2%) 200(0.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [93] 75.1% substitute-e [83] 12.5% -------------------------------------------------------------------------------- expression-cost [75] 100.0% [84] 796(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [170] 100.0% -------------------------------------------------------------------------------- rewriter [77] 100.0% [85] 392(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [95] 100.0% -------------------------------------------------------------------------------- ??? [78] 100.0% [86] 238(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [96] 100.0% -------------------------------------------------------------------------------- errors-score [185] 0.0% for-loop [168] 0.1% for-loop [80] 0.1% match-e [72] 0.1% parse-loop12 [140] 0.3% loop! [102] 0.3% make-exacts* [36] 0.4% extract-alt [32] 0.5% post-process [27] 0.5% ??? [118] 0.6% taylor [180] 0.9% append-map [51] 1.5% map [50] 2.2% f94 [159] 3.3% loop [87] 89.0% [87] 215176(64.5%) 13214(4.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [87] 89.0% simplify [133] 4.2% ??? [118] 2.6% taylor-alt [62] 1.4% completely-simplify-alt [6] 0.5% simplify [3] 0.5% loop! [102] 0.3% real->bigfloat [134] 0.2% ->flonum [135] 0.1% foldl [110] 0.1% parse-loop12 [140] 0.1% f94 [159] 0.1% loop [171] 0.1% ??? [191] 0.1% hash-ref! [170] 0.1% localize-error [42] 0.1% ??? [64] 0.0% for-loop [107] 0.0% bf* [147] 0.0% curried [126] 0.0% ...ow-val-first.rkt:357:18 [148] 0.0% ??? [153] 0.0% loop [109] 0.0% ...higher-order.rkt:373:33 [139] 0.0% -------------------------------------------------------------------------------- loop [8] 5.7% location-do [79] 94.3% [88] 81184(24.3%) 198(0.1%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [99] 86.8% for-loop [100] 6.9% f94 [159] 5.6% for-loop [116] 0.2% taylor [180] 0.2% -------------------------------------------------------------------------------- composed [165] 10.1% best-and-tied-at-points [81] 89.9% [89] 4530(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [101] 70.9% eval-prog [103] 29.1% -------------------------------------------------------------------------------- match-e [72] 43.2% for-loop [80] 56.8% [90] 4270(1.3%) 596(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [72] 76.2% ??? [105] 9.8% -------------------------------------------------------------------------------- merge-egraph-nodes! [82] 100.0% [91] 2114(0.6%) 636(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [104] 39.8% mutable-set [108] 10.4% custom-set-union! [113] 10.2% hash-ref! [170] 9.5% -------------------------------------------------------------------------------- list-cartesian-product [92] 24.5% for-loop [80] 34.5% match-e [72] 41.0% [92] 2042(0.6%) 1436(0.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [106] 24.8% list-cartesian-product [92] 24.5% -------------------------------------------------------------------------------- apply-match [63] 49.7% substitute-e [83] 50.3% [93] 1198(0.4%) 596(0.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [114] 16.9% hash-has-key? [115] 16.7% mutable-set [108] 16.7% -------------------------------------------------------------------------------- merge-egraph-nodes! [82] 100.0% [94] 478(0.1%) 280(0.1%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [117] 41.4% -------------------------------------------------------------------------------- matcher [95] 12.8% for-loop [111] 37.2% for-loop [85] 50.0% [95] 392(0.1%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [77] 50.0% for-loop [111] 37.2% matcher [95] 12.8% -------------------------------------------------------------------------------- best-alt [86] 100.0% [96] 238(0.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [165] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [82] 100.0% [97] 216(0.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [112] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [82] 100.0% [98] 198(0.1%) 198(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------------- approximate9 [88] 100.0% [99] 70458(21.1%) 12730(3.8%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [170] 73.3% loop [119] 5.7% iterate-diagonal [120] 3.0% -------------------------------------------------------------------------------- approximate9 [88] 100.0% [100] 5572(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [159] 79.0% taylor-sqrt [122] 10.7% taylor [180] 10.3% -------------------------------------------------------------------------------- errors [89] 100.0% [101] 3210(1.0%) 420(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [118] 86.9% -------------------------------------------------------------------------------- merge-egraph-nodes! [82] 11.2% for-loop [74] 22.4% loop [87] 27.6% apply-match [63] 38.8% [102] 2666(0.8%) 454(0.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [121] 48.5% loop [87] 27.6% set [124] 11.7% update-en-expr [130] 3.7% -------------------------------------------------------------------------------- make-exacts* [36] 11.3% loop [28] 20.2% errors [89] 68.5% [103] 1928(0.6%) 1232(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [170] 24.9% parse-lambda [128] 11.2% -------------------------------------------------------------------------------- update-leader! 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[191] 1.6% ->flonum [135] 0.1% -------------------------------------------------------------------------------- loop [99] 100.0% [119] 3994(1.2%) 3994(1.2%) loop .../ztatlock/herbie/src/core/taylor.rkt:151:2 -------------------------------------------------------------------------------- loop [99] 100.0% [120] 2082(0.6%) 1290(0.4%) iterate-diagonal ...rbie/src/core/taylor.rkt:150:0 hash-ref! [170] 38.0% -------------------------------------------------------------------------------- loop! [102] 100.0% [121] 1392(0.4%) 596(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [137] 57.2% -------------------------------------------------------------------------------- for-loop [100] 49.9% hash-ref! [170] 50.1% [122] 1194(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [170] 33.7% simplify [133] 33.3% first-nonzero-exp [24] 33.0% -------------------------------------------------------------------------------- for-loop [104] 100.0% [123] 842(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [136] 100.0% -------------------------------------------------------------------------------- new-enode [114] 24.5% loop! [102] 75.5% [124] 824(0.2%) 824(0.2%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------------- ??? 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[102] 100.0% [130] 198(0.1%) 198(0.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- ??? [105] 100.0% [131] 198(0.1%) 198(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------------- ??? [118] 100.0% [132] 123866(37.1%) 5618(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [147] 35.6% ...higher-order.rkt:373:33 [139] 23.4% ??? [153] 23.1% bffma [141] 8.3% ...ow-val-first.rkt:357:18 [148] 3.0% bfcube [142] 1.9% ??? [143] 0.2% -------------------------------------------------------------------------------- for-loop [19] 0.4% ??? [179] 0.7% for-loop [21] 0.8% taylor-sqrt [122] 0.8% taylor-quotient [11] 0.9% location-do [79] 1.2% first-nonzero-exp [24] 1.6% taylor-invert [10] 3.4% for-loop [18] 17.7% loop [87] 19.0% hash-ref! [170] 53.5% [133] 49932(15.0%) 594(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [159] 67.4% parse-loop12 [140] 10.8% debug-print [183] 9.9% debug7 [184] 6.2% simplify-node [155] 4.1% make-multiplication-node [156] 0.4% -------------------------------------------------------------------------------- ??? [118] 20.8% loop [87] 79.2% [134] 28554(8.6%) 20192(6.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [164] 29.3% -------------------------------------------------------------------------------- ??? [118] 7.2% map [50] 30.0% loop [87] 62.8% [135] 2788(0.8%) 712(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [143] 44.0% ??? [194] 21.9% ??? [146] 8.5% -------------------------------------------------------------------------------- for-loop [123] 100.0% [136] 842(0.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? 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[170] 9.2% simplify [133] 15.4% parse-loop12 [140] 15.6% append-map [51] 19.0% map [50] 34.7% [140] 25762(7.7%) 4272(1.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f94 [159] 32.1% parse-loop12 [140] 15.6% for-loop [149] 11.0% loop [87] 9.0% simplify-node [155] 4.8% make-multiplication-node [156] 3.1% map [50] 2.2% append-map [51] 1.5% for-loop [152] 0.8% ??? [151] 0.8% -------------------------------------------------------------------------------- ??? [132] 100.0% [141] 10296(3.1%) 114(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [147] 70.3% ...ow-val-first.rkt:357:18 [148] 28.6% -------------------------------------------------------------------------------- ??? [132] 100.0% [142] 2296(0.7%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [147] 82.1% ...ow-val-first.rkt:357:18 [148] 17.9% -------------------------------------------------------------------------------- sample-default [60] 4.1% ??? 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[170] 4.9% f94 [159] 8.3% append-map [51] 11.7% simplify [133] 19.3% map [50] 37.6% [159] 45922(13.8%) 3880(1.2%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [50] 58.1% append-map [51] 13.2% f94 [159] 8.3% loop [87] 5.5% composed [165] 3.0% taylor-invert [10] 2.2% gather-multiplicative-terms [166] 2.1% combine-mterms [9] 2.1% parse-loop12 [140] 1.8% taylor [180] 0.8% compose [172] 0.3% taylor-quotient [11] 0.0% -------------------------------------------------------------------------------- make-multiplication-node [156] 100.0% [160] 7672(2.3%) 1036(0.3%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [167] 43.4% for-loop [168] 43.1% -------------------------------------------------------------------------------- ??? [153] 100.0% [161] 2274(0.7%) 1754(0.5%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [164] 22.9% -------------------------------------------------------------------------------- simplify-node [155] 100.0% [162] 2258(0.7%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [169] 100.0% -------------------------------------------------------------------------------- for-loop [157] 46.5% ??? [151] 53.5% [163] 370(0.1%) 370(0.1%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------------- ??? [146] 0.7% bfneg [161] 1.9% real->bigfloat [134] 30.6% bfsub [158] 66.9% [164] 27370(8.2%) 27370(8.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- loop [46] 2.2% argmins [96] 2.4% f94 [159] 95.4% [165] 10054(3.0%) 400(0.1%) composed ...ollects/racket/private/list.rkt:321:16 f94 [159] 79.5% loop [171] 6.1% errors [89] 4.6% free-variables [173] 3.9% parse-loop12 [140] 2.0% -------------------------------------------------------------------------------- map [50] 19.7% f94 [159] 80.3% [166] 4732(1.4%) 3914(1.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [50] 28.5% compose [172] 6.3% -------------------------------------------------------------------------------- make-multiplication-subnode [160] 100.0% [167] 3328(1.0%) 2728(0.8%) group-by68 ...acket/collects/racket/list.rkt:749:0 for-loop [175] 12.0% sort [176] 6.0% -------------------------------------------------------------------------------- make-multiplication-subnode [160] 100.0% [168] 3308(1.0%) 1258(0.4%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [172] 24.6% make-multiplication-subsubsubnode [174] 18.7% loop [87] 6.7% parse-loop12 [140] 6.0% partition [177] 6.0% -------------------------------------------------------------------------------- combine-aterms [162] 100.0% [169] 2258(0.7%) 796(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [170] 64.7% -------------------------------------------------------------------------------- for-loop [25] 0.0% taylor-sqrt [122] 0.1% for-loop [169] 0.2% loop [87] 0.3% update-leader! [91] 0.3% first-nonzero-exp [24] 0.4% for-loop [23] 0.4% eval-prog [103] 0.6% for-loop [21] 0.6% compile [84] 0.8% iterate-diagonal [120] 1.4% localize-error [42] 1.9% ??? [64] 2.3% for-loop [18] 2.5% for-loop [19] 2.8% ??? [179] 4.3% loop [99] 11.4% ??? [31] 14.4% ??? [178] 54.3% [170] 57306(17.2%) 10166(3.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [178] 54.5% ??? [4] 17.6% ??? [179] 4.9% simplify [133] 4.3% parse-loop12 [140] 4.1% ??? [5] 2.9% f94 [159] 1.5% taylor [180] 1.1% ??? [7] 0.7% taylor-sqrt [122] 0.1% ??? [12] 0.0% -------------------------------------------------------------------------------- loop [87] 6.9% composed [165] 9.9% append-map [51] 33.9% loop [171] 49.3% [171] 2850(0.9%) 2850(0.9%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [171] 49.3% -------------------------------------------------------------------------------- f94 [159] 24.6% gather-multiplicative-terms [166] 24.8% for-loop [168] 50.6% [172] 1610(0.5%) 1610(0.5%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- composed [165] 24.5% append-map [51] 75.5% [173] 1606(0.5%) 1406(0.4%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [181] 12.5% -------------------------------------------------------------------------------- for-loop [168] 100.0% [174] 618(0.2%) 618(0.2%) make-multiplication-subsubsubnode ...uce.rkt:253:0 -------------------------------------------------------------------------------- group-by68 [167] 100.0% [175] 400(0.1%) 400(0.1%) for-loop .../racket/collects/racket/list.rkt:783:4 -------------------------------------------------------------------------------- localize-error [42] 50.0% group-by68 [167] 50.0% [176] 400(0.1%) 200(0.1%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [182] 50.0% -------------------------------------------------------------------------------- for-loop [168] 100.0% [177] 198(0.1%) 198(0.1%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------------- hash-ref! [170] 100.0% [178] 50444(15.1%) 200(0.1%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [170] 99.8% -------------------------------------------------------------------------------- hash-ref! [170] 100.0% [179] 35070(10.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [170] 91.7% ??? [31] 7.2% simplify [133] 1.1% -------------------------------------------------------------------------------- approximate9 [88] 2.5% ??? [64] 2.6% for-loop [100] 7.4% map [50] 16.1% f94 [159] 20.0% hash-ref! [170] 51.5% [180] 7834(2.3%) 1994(0.6%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [87] 25.8% debug7 [184] 25.1% debug-print [183] 23.6% -------------------------------------------------------------------------------- free-variables [173] 24.5% match-e [72] 75.5% [181] 816(0.2%) 816(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- sort [176] 100.0% [182] 200(0.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [185] 100.0% -------------------------------------------------------------------------------- taylor [180] 27.3% simplify [133] 72.7% [183] 6794(2.0%) 1586(0.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [186] 76.7% -------------------------------------------------------------------------------- for-loop [53] 3.8% taylor [180] 37.3% simplify [133] 58.9% [184] 5264(1.6%) 1988(0.6%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [187] 27.5% ??? [56] 15.5% return/no-unsupplied [188] 15.4% assoc-ref [189] 3.8% -------------------------------------------------------------------------------- jloop [182] 47.8% loop [46] 52.2% [185] 418(0.1%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [87] 52.2% loop [190] 47.8% -------------------------------------------------------------------------------- debug-print [183] 100.0% [186] 5208(1.6%) 5208(1.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- debug7 [184] 100.0% [187] 1448(0.4%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [192] 70.2% ??? [191] 29.8% -------------------------------------------------------------------------------- debug7 [184] 100.0% [188] 812(0.2%) 420(0.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [193] 48.3% -------------------------------------------------------------------------------- debug7 [184] 100.0% [189] 200(0.1%) 200(0.1%) assoc-ref ...collects/racket/private/dict.rkt:56:0 -------------------------------------------------------------------------------- errors-score [185] 100.0% [190] 200(0.1%) 200(0.1%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------------- ??? [56] 0.4% ??? [187] 1.0% ??? [118] 6.5% ...higher-order.rkt:373:33 [139] 11.8% loop [87] 16.5% ??? [154] 63.8% [191] 45044(13.5%) 710(0.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [194] 97.0% -------------------------------------------------------------------------------- ??? [187] 100.0% [192] 1016(0.3%) 1016(0.3%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------------- return/no-unsupplied [188] 100.0% [193] 392(0.1%) 392(0.1%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------------- ->flonum [135] 1.0% ??? [153] 28.5% ??? [191] 70.5% [194] 61988(18.6%) 29190(8.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [195] 49.7% ??? [196] 3.2% -------------------------------------------------------------------------------- ??? [194] 100.0% [195] 30794(9.2%) 15508(4.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [197] 49.6% -------------------------------------------------------------------------------- ??? [194] 100.0% [196] 2004(0.6%) 1560(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [198] 22.2% -------------------------------------------------------------------------------- ??? [195] 100.0% [197] 15286(4.6%) 15286(4.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------- ??? [196] 100.0% [198] 444(0.1%) 444(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------------