Profiling results ----------------- Total cpu time observed: 32456ms (out of 33072ms) Number of samples taken: 135 (once every 240ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 102 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [30] 100.0% [1] 31576(97.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [2] 12322(38.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [7] 53.6% for-loop [8] 26.6% finalize-table! [9] 16.5% loop [36] 3.4% ----------------------------------------------------------------------- loop [57] 9.7% ??? [30] 90.3% [3] 2486(7.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 41.8% for-loop [11] 32.0% iterate-egraph!5 [15] 26.1% ----------------------------------------------------------------------- loop [57] 100.0% [4] 602(1.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- map [53] 100.0% [5] 200(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-sqrt [12] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 31576(97.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 6604(20.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [13] 96.4% extract-alt [17] 3.6% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 3272(10.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2028(6.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [16] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 36.7% simplify [3] 63.3% [10] 1642(5.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 796(2.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [12] 200(0.6%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [59] 100.0% ----------------------------------------------------------------------- get-final-combination [7] 100.0% [13] 6364(19.6%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [18] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [14] 3272(10.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 68.6% finalize-iter! [22] 24.6% choose-best-alt! [23] 6.7% ----------------------------------------------------------------------- simplify [3] 21.0% for-loop [11] 25.8% simplify-expr [10] 53.2% [15] 3088(9.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 100.0% ----------------------------------------------------------------------- finalize-table! [9] 100.0% [16] 2028(6.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [21] 50.6% loop [57] 29.7% ??? [26] 19.7% ----------------------------------------------------------------------- get-final-combination [7] 100.0% [17] 240(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [57] 100.0% ----------------------------------------------------------------------- split-table [13] 100.0% [18] 6364(19.6%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [62] 76.1% loop [57] 23.9% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [19] 3088(9.5%) 240(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 79.3% loop [29] 6.5% filter [28] 6.5% ----------------------------------------------------------------------- run-iter! [14] 100.0% [20] 2246(6.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- post-process [16] 100.0% [21] 1026(3.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [27] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 806(2.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [23] 220(0.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [26] 100.0% ----------------------------------------------------------------------- for-loop [24] 50.0% one-iter [19] 50.0% [24] 2448(7.5%) 622(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [31] 37.3% ----------------------------------------------------------------------- simplify! [20] 100.0% [25] 2246(6.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ----------------------------------------------------------------------- choose-best-alt! [23] 15.4% post-process [16] 28.1% finalize-iter! [22] 56.5% [26] 1426(4.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 84.6% atab-pick-alt8 [34] 15.4% ----------------------------------------------------------------------- for-loop [21] 100.0% [27] 1026(3.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [33] 100.0% ----------------------------------------------------------------------- one-iter [19] 100.0% [28] 200(0.6%) 200(0.6%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------- one-iter [19] 100.0% [29] 200(0.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ----------------------------------------------------------------------- for-loop [25] 2.3% run [6] 48.2% [30] 31992(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% loop [36] 31.4% run-improve58 [2] 18.1% simplify [3] 2.3% ----------------------------------------------------------------------- for-loop [24] 100.0% [31] 1826(5.6%) 1224(3.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [39] 21.9% constant? [41] 11.1% ----------------------------------------------------------------------- ??? [26] 100.0% [32] 1206(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ----------------------------------------------------------------------- append-map [27] 100.0% [33] 1026(3.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [34] 220(0.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [40] 100.0% ----------------------------------------------------------------------- loop [29] 100.0% [35] 200(0.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [30] 97.9% [36] 20088(61.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 48.8% make-exacts* [49] 42.0% loop [50] 9.1% ----------------------------------------------------------------------- for-loop [32] 100.0% [37] 1206(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ----------------------------------------------------------------------- taylor-alt [33] 100.0% [38] 1026(3.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ----------------------------------------------------------------------- match-e [31] 100.0% [39] 400(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [57] 50.0% list-cartesian-product [48] 50.0% ----------------------------------------------------------------------- atab-pick-alt8 [34] 100.0% [40] 220(0.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [46] 100.0% ----------------------------------------------------------------------- match-e [31] 100.0% [41] 202(0.6%) 202(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- apply-match [35] 100.0% [42] 200(0.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 make-sequence [47] 100.0% ----------------------------------------------------------------------- loop [36] 100.0% [43] 9810(30.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 52.7% make-exacts* [49] 45.0% eval-prog [93] 2.3% ----------------------------------------------------------------------- atab-add-altn [37] 100.0% [44] 1206(3.7%) 200(0.6%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [58] 83.4% ----------------------------------------------------------------------- location-do [45] 48.7% for-loop [38] 51.3% [45] 1026(3.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [51] 51.3% location-do [45] 48.7% ----------------------------------------------------------------------- ??? [40] 100.0% [46] 220(0.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [52] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [47] 200(0.6%) 200(0.6%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- list-cartesian-product [48] 50.0% for-loop [39] 50.0% [48] 200(0.6%) 200(0.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [48] 50.0% ----------------------------------------------------------------------- loop [43] 34.4% loop [36] 65.6% [49] 12858(39.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [53] 52.0% loop [57] 48.0% ----------------------------------------------------------------------- loop [36] 26.2% loop [43] 73.8% [50] 7004(21.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 100.0% ----------------------------------------------------------------------- location-do [45] 100.0% [51] 1026(3.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [54] 60.8% for-loop [56] 19.7% f16 [75] 19.5% ----------------------------------------------------------------------- best-alt [46] 100.0% [52] 220(0.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [55] 100.0% ----------------------------------------------------------------------- f16 [75] 1.4% make-exacts* [49] 48.1% loop [50] 50.4% [53] 13886(42.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [57] 96.9% ??? [69] 1.7% ??? [5] 0.5% f16 [75] 0.5% make-multiplication-node [61] 0.5% ----------------------------------------------------------------------- approximate9 [51] 100.0% [54] 624(1.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [59] 100.0% ----------------------------------------------------------------------- argmins [52] 100.0% [55] 220(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [58] 100.0% ----------------------------------------------------------------------- approximate9 [51] 100.0% [56] 202(0.6%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:18:8 replace-expression [60] 100.0% ----------------------------------------------------------------------- post-process [16] 0.3% option-on-expr [62] 0.4% ??? [69] 0.5% extract-alt [17] 0.5% make-exacts* [49] 0.6% for-loop [39] 0.9% map [53] 1.7% infer-splitpoints4 [18] 6.8% loop [57] 88.4% [57] 22354(68.9%) 246(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [57] 88.4% option-on-expr [62] 6.8% ??? [69] 2.3% foldl [67] 0.9% simplify [3] 0.5% errors [58] 0.4% real->bigfloat [77] 0.3% completely-simplify-alt [4] 0.3% ??? [90] 0.2% ->flonum [79] 0.0% ----------------------------------------------------------------------- loop [57] 11.9% composed [55] 15.8% best-and-tied-at-points [44] 72.3% [58] 1392(4.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 69.7% eval-prog [93] 30.3% ----------------------------------------------------------------------- ??? [66] 12.3% ??? [65] 13.3% taylor-sqrt [12] 24.3% loop [54] 50.1% [59] 824(2.5%) 422(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [64] 36.5% ??? [65] 13.3% ??? [66] 12.3% ----------------------------------------------------------------------- for-loop [56] 16.7% replace-expression [60] 83.3% [60] 202(0.6%) 202(0.6%) replace-expression ...erbie/src/programs.rkt:119:0 replace-expression [60] 83.3% ----------------------------------------------------------------------- map [53] 100.0% [61] 200(0.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [68]100.0% ----------------------------------------------------------------------- loop [57] 23.9% infer-splitpoints4 [18] 76.1% [62] 6364(19.6%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [70] 87.2% pick-errors [71] 10.2% loop [57] 2.6% ----------------------------------------------------------------------- errors [58] 100.0% [63] 970(3.0%) 202(0.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [69] 79.2% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [64] 402(1.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [72] 50.2% f16 [75] 49.8% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [65] 220(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [66] 202(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- loop [57] 100.0% [67] 200(0.6%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [73] 100.0% ----------------------------------------------------------------------- make-multiplication-node [61] 100.0% [68] 200(0.6%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [74] 100.0% ----------------------------------------------------------------------- map [53] 1.2% for-loop [63] 3.8% loop [57] 95.0% [69] 20152(62.1%) 934(2.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 44.7% real->bigfloat [77] 22.9% loop [57] 12.2% ??? [90] 11.5% ->flonum [79] 2.8% ----------------------------------------------------------------------- option-on-expr [62] 100.0% [70] 5548(17.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [78] 100.0% ----------------------------------------------------------------------- option-on-expr [62] 100.0% [71] 650(2.0%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [80] 100.0% ----------------------------------------------------------------------- simplify [64] 100.0% [72] 202(0.6%) 202(0.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ----------------------------------------------------------------------- foldl [67] 100.0% [73] 200(0.6%) 200(0.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- make-multiplication-subnode [68]100.0% [74] 200(0.6%) 200(0.6%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- map [53] 25.0% simplify [64] 25.0% f16 [75] 25.0% approximate9 [51] 25.0% [75] 200(0.6%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [53] 75.0% f16 [75] 25.0% ----------------------------------------------------------------------- ??? [69] 100.0% [76] 9014(27.8%) 202(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 79.6% bf* [82] 12.7% ...higher-order.rkt:373:33 [84] 5.4% ----------------------------------------------------------------------- loop [57] 29.7% ??? [69] 70.3% [77] 6582(20.3%) 4952(15.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 24.8% ----------------------------------------------------------------------- sort-context-on-expr [70] 100.0% [78] 5548(17.1%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [81] 68.5% loop [86] 31.5% ----------------------------------------------------------------------- loop [57] 45.8% ??? [69] 54.2% [79] 1044(3.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [83] 78.5% ??? [95] 21.5% ----------------------------------------------------------------------- pick-errors [71] 100.0% [80] 650(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [93] 100.0% ----------------------------------------------------------------------- sort [78] 40.2% copying-mergesort [81] 59.8% [81] 3800(11.7%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [81] 59.8% loop [86] 23.7% jloop [87] 16.4% ----------------------------------------------------------------------- ??? [76] 100.0% [82] 1146(3.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [85] 100.0% ----------------------------------------------------------------------- ->flonum [79] 100.0% [83] 820(2.5%) 820(2.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [76] 100.0% [84] 488(1.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 54.1% ??? [88] 45.9% ----------------------------------------------------------------------- bf* [82] 13.8% ??? [76] 86.2% [85] 8324(25.6%) 1850(5.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [91] 36.5% bfatan [92] 35.6% ??? [95] 5.6% ----------------------------------------------------------------------- copying-mergesort [81] 42.7% sort [78] 57.3% [86] 3050(9.4%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [89] 100.0% ----------------------------------------------------------------------- copying-mergesort [81] 100.0% [87] 2498(7.7%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [89] 100.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [84] 100.0% [88] 224(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 100.0% ----------------------------------------------------------------------- jloop [87] 45.0% loop [86] 55.0% [89] 5548(17.1%) 176(0.5%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [93] 96.8% ----------------------------------------------------------------------- ??? [88] 7.3% loop [57] 8.5% ...higher-order.rkt:373:33 [84] 8.6% ??? [69] 75.6% [90] 3074(9.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [85] 100.0% [91] 3040(9.4%) 1884(5.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 38.0% ----------------------------------------------------------------------- ??? [85] 100.0% [92] 2966(9.1%) 1982(6.1%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 33.2% ----------------------------------------------------------------------- loop [43] 3.4% errors [58] 6.3% for-loop [80] 9.7% ??? [89] 80.5% [93] 6670(20.6%) 6028(18.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [97] 6.5% go [98] 3.1% ----------------------------------------------------------------------- bfatan [92] 26.1% bfmul [91] 30.7% real->bigfloat [77] 43.2% [94] 3770(11.6%) 3770(11.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ->flonum [79] 5.9% ??? [85] 12.4% ??? [90] 81.6% [95] 3766(11.6%) 2090(6.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 44.5% ----------------------------------------------------------------------- ??? [95] 100.0% [96] 1676(5.2%) 998(3.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 40.5% ----------------------------------------------------------------------- eval-prog [93] 100.0% [97] 434(1.3%) 222(0.7%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [100] 48.8% ----------------------------------------------------------------------- eval-prog [93] 100.0% [98] 208(0.6%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [101] 100.0% ----------------------------------------------------------------------- ??? [96] 100.0% [99] 678(2.1%) 678(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- ??? [97] 100.0% [100] 212(0.7%) 212(0.7%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ----------------------------------------------------------------------- go [98] 25.0% loop [101] 75.0% [101] 208(0.6%) 208(0.6%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [101] 75.0% -----------------------------------------------------------------------