Profiling results ----------------- Total cpu time observed: 16148ms (out of 16008ms) Number of samples taken: 66 (once every 245ms) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [27] 100.0% [1] 16148(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ------------------------------------------------------------------- ??? [27] 100.0% [2] 8886(55.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [7] 46.7% for-loop [8] 37.0% finalize-table! [9] 16.3% ------------------------------------------------------------------- hash-ref! [50] 100.0% [3] 1048(6.5%) 200(1.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [10] 71.1% hash-ref! [50] 19.4% ------------------------------------------------------------------- hash-ref! [50] 100.0% [4] 830(5.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------- hash-ref! [50] 100.0% [5] 628(3.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 16148(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 4148(25.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [13] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 3290(20.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1448(9.0%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ------------------------------------------------------------------- ??? [3] 100.0% [10] 1048(6.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [50] 100.0% ------------------------------------------------------------------- ??? [4] 100.0% [11] 830(5.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [50] 63.3% ??? [16] 36.7% ------------------------------------------------------------------- ??? [5] 100.0% [12] 628(3.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [50] 100.0% ------------------------------------------------------------------- get-final-combination [7] 100.0% [13] 4148(25.7%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [17] 100.0% ------------------------------------------------------------------- for-loop [8] 100.0% [14] 3290(20.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 62.0% gen-series! [20] 18.4% finalize-iter! [21] 13.5% choose-best-alt! [22] 6.1% ------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 1448(9.0%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [19] 72.2% loop [57] 27.8% ------------------------------------------------------------------- for-loop [11] 100.0% [16] 406(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [50] 100.0% ------------------------------------------------------------------- split-table [13] 100.0% [17] 4148(25.7%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [60] 80.3% loop [57] 19.7% ------------------------------------------------------------------- run-iter! [14] 100.0% [18] 2040(12.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ------------------------------------------------------------------- post-process [15] 100.0% [19] 1046(6.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [24] 100.0% ------------------------------------------------------------------- run-iter! [14] 100.0% [20] 606(3.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ------------------------------------------------------------------- run-iter! [14] 100.0% [21] 444(2.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% ------------------------------------------------------------------- run-iter! [14] 100.0% [22] 200(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [25] 100.0% ------------------------------------------------------------------- simplify! [18] 100.0% [23] 2040(12.6%) 200(1.2%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 90.2% ------------------------------------------------------------------- for-loop [19] 100.0% [24] 1046(6.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [28] 59.5% loop [57] 40.5% ------------------------------------------------------------------- choose-best-alt! [22] 31.1% finalize-iter! [21] 68.9% [25] 644(4.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 68.9% atab-pick-alt8 [30] 31.1% ------------------------------------------------------------------- gen-series! [20] 100.0% [26] 606(3.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ------------------------------------------------------------------- for-loop [23] 3.8% run [6] 48.1% [27] 16148(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.1% run-improve58 [2] 25.6% loop [31] 22.5% simplify [32] 3.8% ------------------------------------------------------------------- loop [57] 25.7% for-loop [26] 36.7% append-map [24] 37.7% [28] 1652(10.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ------------------------------------------------------------------- ??? [25] 100.0% [29] 444(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ------------------------------------------------------------------- ??? [25] 100.0% [30] 200(1.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [35] 100.0% ------------------------------------------------------------------- ??? [27] 100.0% [31] 7262(45.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [42] 49.3% loop [36] 47.7% for-loop [40] 3.0% ------------------------------------------------------------------- ??? [27] 100.0% [32] 1840(11.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [63] 56.7% iterate-egraph!5 [66] 21.7% for-loop [39] 21.5% ------------------------------------------------------------------- taylor-alt [28] 100.0% [33] 1652(10.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [37] 100.0% ------------------------------------------------------------------- for-loop [29] 100.0% [34] 444(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [38]100.0% ------------------------------------------------------------------- atab-pick-alt8 [30] 100.0% [35] 200(1.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [41] 100.0% ------------------------------------------------------------------- loop [31] 100.0% [36] 3464(21.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [43] 75.8% make-exacts* [42] 24.2% ------------------------------------------------------------------- for-loop [33] 49.6% location-do [37] 50.4% [37] 1652(10.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [37] 50.4% approximate9 [44] 49.6% ------------------------------------------------------------------- atab-add-altn [34] 100.0% [38] 444(2.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% ------------------------------------------------------------------- simplify [32] 100.0% [39] 396(2.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [66] 100.0% ------------------------------------------------------------------- loop [31] 100.0% [40] 220(1.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [45] 100.0% ------------------------------------------------------------------- ??? [35] 100.0% [41] 200(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [46] 100.0% ------------------------------------------------------------------- loop [36] 19.0% loop [31] 81.0% [42] 4418(27.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [55] 54.2% loop [57] 45.8% ------------------------------------------------------------------- loop [36] 100.0% [43] 2624(16.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [55] 100.0% ------------------------------------------------------------------- location-do [37] 100.0% [44] 1652(10.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [47] 87.9% f37 [54] 12.1% ------------------------------------------------------------------- for-loop [40] 100.0% [45] 220(1.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [48] 100.0% ------------------------------------------------------------------- best-alt [41] 100.0% [46] 200(1.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [49] 100.0% ------------------------------------------------------------------- approximate9 [44] 100.0% [47] 1452(9.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [50] 100.0% ------------------------------------------------------------------- for-loop [45] 100.0% [48] 220(1.4%) 220(1.4%) sample-default ...rc/syntax/distributions.rkt:11:0 ------------------------------------------------------------------- argmins [46] 100.0% [49] 200(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [64] 100.0% ------------------------------------------------------------------- first-nonzero-exp [59] 3.5% ??? [16] 3.6% ??? [3] 3.6% for-loop [12] 5.3% for-loop [11] 8.4% ??? [53] 15.4% for-loop [10] 15.4% ??? [52] 20.7% loop [47] 24.2% [50] 1452(9.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 22.4% simplify [51] 20.7% ??? [52] 20.7% ??? [53] 15.4% ??? [4] 12.0% ??? [5] 5.3% taylor-quotient [56] 3.5% ------------------------------------------------------------------- hash-ref! [50] 100.0% [51] 1252(7.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [58] 51.4% debug-print [67] 32.3% f37 [54] 16.3% ------------------------------------------------------------------- hash-ref! [50] 100.0% [52] 1250(7.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [50] 100.0% ------------------------------------------------------------------- hash-ref! [50] 100.0% [53] 1030(6.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [50] 100.0% ------------------------------------------------------------------- f37 [54] 24.8% approximate9 [44] 24.8% simplify [51] 50.5% [54] 404(2.5%) 0(0.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [55] 50.5% f37 [54] 24.8% taylor-quotient [56] 24.8% ------------------------------------------------------------------- f37 [54] 3.9% make-exacts* [42] 45.9% loop [43] 50.2% [55] 5224(32.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [57] 74.7% ??? [70] 21.4% parse-loop50 [58] 3.9% ------------------------------------------------------------------- f37 [54] 49.8% hash-ref! [50] 50.2% [56] 402(2.5%) 200(1.2%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [59] 50.2% ------------------------------------------------------------------- make-exacts* [42] 0.0% map [55] 0.6% post-process [15] 1.2% append-map [24] 5.6% infer-splitpoints4 [17] 10.8% loop [57] 81.8% [57] 7568(46.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [57] 81.8% option-on-expr [60] 10.8% taylor-alt [28] 5.6% completely-simplify-alt [61] 1.2% ??? [70] 0.7% ------------------------------------------------------------------- map [55] 8.0% simplify [51] 29.7% parse-loop50 [58] 62.3% [58] 848(5.3%) 848(5.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [58] 62.3% ------------------------------------------------------------------- taylor-quotient [56] 100.0% [59] 202(1.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [50] 100.0% ------------------------------------------------------------------- loop [57] 19.7% infer-splitpoints4 [17] 80.3% [60] 4148(25.7%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [62] 95.2% errors [64] 4.8% ------------------------------------------------------------------- loop [57] 100.0% [61] 402(2.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [63] 100.0% ------------------------------------------------------------------- option-on-expr [60] 100.0% [62] 3948(24.4%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [65] 100.0% ------------------------------------------------------------------- completely-simplify-alt [61] 27.8% simplify [32] 72.2% [63] 1446(9.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [66] 70.8% debug-print [67] 15.2% loop [69] 14.0% ------------------------------------------------------------------- composed [49] 23.7% option-on-expr [60] 23.7% best-and-tied-at-points [38] 52.6% [64] 844(5.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 73.7% eval-prog [88] 26.3% ------------------------------------------------------------------- sort-context-on-expr [62] 100.0% [65] 3948(24.4%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [71] 71.8% loop [77] 28.2% ------------------------------------------------------------------- for-loop [39] 21.8% simplify [32] 22.0% simplify-expr [63] 56.3% [66] 1820(11.3%) 200(1.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [72] 89.0% ------------------------------------------------------------------- simplify-expr [63] 35.3% simplify [51] 64.7% [67] 624(3.9%) 624(3.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------- errors [64] 100.0% [68] 622(3.9%) 200(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 35.7% ??? [70] 32.2% ------------------------------------------------------------------- simplify-expr [63] 100.0% [69] 202(1.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [74] 100.0% ------------------------------------------------------------------- for-loop [68] 2.8% map [55] 15.4% loop [57] 81.8% [70] 7242(44.8%) 756(4.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [75] 43.8% ??? [76] 42.5% ??? [80] 3.2% ------------------------------------------------------------------- sort [65] 40.6% copying-mergesort [71] 59.4% [71] 2836(17.6%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [71] 59.4% loop [77] 25.0% jloop [78] 15.6% ------------------------------------------------------------------- iterate-egraph!5 [66] 100.0% [72] 1620(10.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [79] 87.8% apply-match [82] 12.2% ------------------------------------------------------------------- for-loop [68] 100.0% [73] 222(1.4%) 222(1.4%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------- loop [69] 100.0% [74] 202(1.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [81] 100.0% ------------------------------------------------------------------- ??? [70] 100.0% [75] 3174(19.7%) 2924(18.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 7.9% ------------------------------------------------------------------- ??? [70] 100.0% [76] 3078(19.1%) 200(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [84] 93.5% ------------------------------------------------------------------- copying-mergesort [71] 48.9% sort [65] 51.1% [77] 2178(13.5%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [83] 100.0% ------------------------------------------------------------------- copying-mergesort [71] 100.0% [78] 1770(11.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [83] 100.0% ------------------------------------------------------------------- for-loop [79] 50.0% one-iter [72] 50.0% [79] 1422(8.8%) 220(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [79] 50.0% match-e [85] 42.3% ------------------------------------------------------------------- ??? [70] 100.0% [80] 234(1.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ------------------------------------------------------------------- pass [74] 100.0% [81] 202(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [86] 100.0% ------------------------------------------------------------------- one-iter [72] 100.0% [82] 198(1.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [87] 100.0% ------------------------------------------------------------------- jloop [78] 44.8% loop [77] 55.2% [83] 3948(24.4%) 202(1.3%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [88] 94.9% ------------------------------------------------------------------- ??? [76] 100.0% [84] 2878(17.8%) 1158(7.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [89] 34.1% bfcot [90] 17.4% ??? [91] 8.3% ------------------------------------------------------------------- for-loop [79] 100.0% [85] 1202(7.4%) 1002(6.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [92] 16.6% ------------------------------------------------------------------- for-loop [81] 100.0% [86] 202(1.3%) 202(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------- apply-match [82] 100.0% [87] 198(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [93] 100.0% ------------------------------------------------------------------- errors [64] 5.6% ??? [83] 94.4% [88] 3968(24.6%) 3746(23.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [97] 5.6% ------------------------------------------------------------------- ??? [84] 100.0% [89] 982(6.1%) 452(2.8%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 54.0% ------------------------------------------------------------------- ??? [84] 100.0% [90] 500(3.1%) 500(3.1%) bfcot ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ------------------------------------------------------------------- ??? [80] 49.6% ??? [84] 50.4% [91] 472(2.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 50.4% ??? [96] 49.6% ------------------------------------------------------------------- match-e [85] 100.0% [92] 200(1.2%) 200(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [93] 198(1.2%) 198(1.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------- real->bigfloat [75] 32.1% bfsub [89] 67.9% [94] 780(4.8%) 780(4.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- ??? [91] 100.0% [95] 238(1.5%) 238(1.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------- ??? [91] 100.0% [96] 234(1.4%) 234(1.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------- eval-prog [88] 100.0% [97] 222(1.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [98] 100.0% ------------------------------------------------------------------- ??? [97] 100.0% [98] 222(1.4%) 222(1.4%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------