Profiling results ----------------- Total cpu time observed: 28840ms (out of 29416ms) Number of samples taken: 126 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 95 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [14] 100.0% [1] 27912(96.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- location-do [73] 100.0% [2] 3832(13.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 89.6% taylor-exp [12] 5.2% f6 [41] 5.2% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [3] 1220(4.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [10] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [4] 1024(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [5] 402(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- f6 [41] 100.0% [6] 202(0.7%) 0(0.0%) taylor-log ...ock/herbie/src/core/taylor.rkt:476:0 simplify [15] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [7] 198(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [52] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.3% [8] 28406(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [14] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [9] 3432(11.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [10] 1220(4.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [47] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 1024(3.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ---------------------------------------------------------------------- approximate9 [2] 49.8% hash-ref! [68] 50.2% [12] 402(1.4%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [15] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 402(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [68] 100.0% ---------------------------------------------------------------------- for-loop [38] 1.0% run [8] 50.0% [14] 28602(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.3% loop [19] 33.1% run-improve58 [17] 17.7% simplify [60] 1.0% ---------------------------------------------------------------------- taylor-log [6] 5.6% taylor-exp [12] 11.1% hash-ref! [68] 83.4% [15] 3632(12.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [41] 94.4% debug7 [18] 5.6% ---------------------------------------------------------------------- for-loop [11] 100.0% [16] 1024(3.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [68] 100.0% ---------------------------------------------------------------------- ??? [14] 100.0% [17] 9686(33.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [20] 62.6% for-loop [21] 28.0% loop [19] 5.1% get-final-combination [22] 4.3% ---------------------------------------------------------------------- simplify [15] 100.0% [18] 202(0.7%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [23] 100.0% ---------------------------------------------------------------------- run-improve58 [17] 2.5% ??? [14] 97.5% [19] 19410(67.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [28] 41.9% loop [24] 40.5% loop [29] 17.6% ---------------------------------------------------------------------- run-improve58 [17] 100.0% [20] 6060(21.0%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [25] 100.0% ---------------------------------------------------------------------- run-improve58 [17] 100.0% [21] 2712(9.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% ---------------------------------------------------------------------- run-improve58 [17] 100.0% [22] 420(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [27] 100.0% ---------------------------------------------------------------------- debug7 [18] 100.0% [23] 202(0.7%) 202(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ---------------------------------------------------------------------- loop [19] 100.0% [24] 7862(27.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [29] 60.7% make-exacts* [28] 39.3% ---------------------------------------------------------------------- finalize-table! [20] 100.0% [25] 6060(21.0%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [30] 53.1% loop [52] 33.0% ??? [37] 13.9% ---------------------------------------------------------------------- for-loop [21] 100.0% [26] 2712(9.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 finalize-iter! [31] 38.2% simplify! [33] 30.4% gen-series! [34] 22.6% localize-error [32] 8.8% ---------------------------------------------------------------------- get-final-combination [22] 100.0% [27] 420(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [35] 52.4% loop [52] 47.6% ---------------------------------------------------------------------- loop [24] 27.5% loop [19] 72.5% [28] 11224(38.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [44] 62.5% loop [52] 37.5% ---------------------------------------------------------------------- loop [19] 41.7% loop [24] 58.3% [29] 8186(28.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [44] 100.0% ---------------------------------------------------------------------- post-process [25] 100.0% [30] 3218(11.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [36] 100.0% ---------------------------------------------------------------------- run-iter! [26] 100.0% [31] 1036(3.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ---------------------------------------------------------------------- run-iter! [26] 28.5% loop [52] 71.5% [32] 836(2.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 100.0% ---------------------------------------------------------------------- run-iter! [26] 100.0% [33] 824(2.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [38] 100.0% ---------------------------------------------------------------------- run-iter! [26] 100.0% [34] 614(2.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [39] 100.0% ---------------------------------------------------------------------- extract-alt [27] 100.0% [35] 220(0.8%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [40] 100.0% ---------------------------------------------------------------------- f6 [41] 4.7% for-loop [30] 95.3% [36] 3218(11.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [57] 81.2% loop [52] 14.1% f6 [41] 3.1% ---------------------------------------------------------------------- post-process [25] 44.9% finalize-iter! [31] 55.1% [37] 1880(6.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 89.4% atab-add-altns [43] 10.6% ---------------------------------------------------------------------- simplify! [33] 100.0% [38] 824(2.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [14] 100.0% ---------------------------------------------------------------------- gen-series! [34] 100.0% [39] 614(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [57] 100.0% ---------------------------------------------------------------------- f6 [41] 47.9% loop [35] 52.1% [40] 422(1.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [53] 52.1% f6 [41] 47.9% ---------------------------------------------------------------------- composed [40] 0.9% parse-loop12 [47] 1.4% append-map [36] 1.7% f6 [41] 2.9% approximate9 [2] 4.3% loop [52] 5.1% hash-ref! [68] 19.4% map [44] 24.3% simplify [15] 40.0% [41] 4668(16.2%) 804(2.8%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [44] 80.6% taylor-quotient [46] 4.3% f6 [41] 2.9% append-map [36] 2.6% taylor-log [6] 1.4% composed [40] 0.9% ---------------------------------------------------------------------- ??? [37] 100.0% [42] 1680(5.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [43] 200(0.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [45] 100.0% ---------------------------------------------------------------------- ??? [61] 0.5% f6 [41] 21.4% make-exacts* [28] 36.0% loop [29] 42.1% [44] 19464(67.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 76.8% parse-loop12 [47] 8.7% f6 [41] 7.9% ??? [61] 3.5% ??? [67] 1.3% make-multiplication-node [49] 0.6% ??? [51] 0.5% ->flonum [63] 0.5% ??? [79] 0.3% ---------------------------------------------------------------------- atab-add-altns [43] 10.6% for-loop [42] 89.4% [45] 1880(6.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 88.3% override-at-pnts [50] 11.7% ---------------------------------------------------------------------- f6 [41] 100.0% [46] 200(0.7%) 200(0.7%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 ---------------------------------------------------------------------- loop [52] 1.2% parse-loop12 [47] 2.5% hash-ref! [68] 19.6% for-loop [10] 23.1% map [44] 53.7% [47] 3262(11.3%) 1820(6.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [52] 29.4% for-loop [54] 23.1% ??? [79] 3.6% f6 [41] 3.1% parse-loop12 [47] 2.5% ---------------------------------------------------------------------- atab-add-altn [45] 100.0% [48] 1660(5.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [53] 100.0% ---------------------------------------------------------------------- map [44] 100.0% [49] 404(1.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [55]100.0% ---------------------------------------------------------------------- atab-add-altn [45] 100.0% [50] 220(0.8%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [53] 100.0% ---------------------------------------------------------------------- map [44] 100.0% [51] 200(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [56] 100.0% ---------------------------------------------------------------------- make-exacts* [28] 0.1% ??? [7] 0.8% extract-alt [27] 0.9% post-process [25] 1.2% map [44] 2.1% append-map [36] 2.6% parse-loop12 [47] 3.6% loop [52] 88.8% [52] 23430(81.2%) 248(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 88.8% taylor-alt [57] 2.6% ??? [67] 2.2% f6 [41] 1.7% ??? [61] 1.0% localize-error [32] 0.9% simplify [60] 0.9% parse-loop12 [47] 0.9% hash-ref! [68] 0.8% completely-simplify-alt [59] 0.3% ->flonum [63] 0.0% ??? [79] 0.0% ---------------------------------------------------------------------- override-at-pnts [50] 10.5% composed [40] 10.5% best-and-tied-at-points [48] 79.0% [53] 2100(7.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 69.6% eval-prog [62] 30.4% ---------------------------------------------------------------------- parse-loop12 [47] 100.0% [54] 1220(4.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [68] 100.0% ---------------------------------------------------------------------- make-multiplication-node [49] 100.0% [55] 404(1.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [64] 50.0% group-by68 [65] 50.0% ---------------------------------------------------------------------- ??? [51] 100.0% [56] 200(0.7%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [66] 100.0% ---------------------------------------------------------------------- loop [52] 15.8% for-loop [39] 16.0% append-map [36] 68.2% [57] 3832(13.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [69] 100.0% ---------------------------------------------------------------------- errors [53] 100.0% [58] 1462(5.1%) 200(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 86.3% ---------------------------------------------------------------------- loop [52] 100.0% [59] 1400(4.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [70] 100.0% ---------------------------------------------------------------------- loop [52] 19.5% ??? [14] 80.5% [60] 1024(3.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [70] 58.8% iterate-egraph!5 [75] 41.2% ---------------------------------------------------------------------- loop [52] 26.1% map [44] 73.9% [61] 836(2.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 88.2% map [44] 11.8% ---------------------------------------------------------------------- errors [53] 100.0% [62] 638(2.2%) 440(1.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [68] 31.0% ---------------------------------------------------------------------- map [44] 31.4% loop [52] 68.6% [63] 630(2.2%) 232(0.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [82] 63.2% ---------------------------------------------------------------------- make-multiplication-subnode [55]100.0% [64] 202(0.7%) 202(0.7%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ---------------------------------------------------------------------- make-multiplication-subnode [55]100.0% [65] 202(0.7%) 0(0.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [71] 100.0% ---------------------------------------------------------------------- for-loop [56] 100.0% [66] 200(0.7%) 200(0.7%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ---------------------------------------------------------------------- map [44] 1.3% for-loop [58] 6.2% loop [52] 92.5% [67] 20230(70.1%) 1398(4.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [72] 80.0% real->bigfloat [76] 12.0% ??? [78] 1.1% ---------------------------------------------------------------------- loop [52] 2.2% eval-prog [62] 2.2% for-loop [13] 2.3% for-loop [16] 5.6% for-loop [54] 6.7% localize-error [32] 7.4% ??? [61] 11.4% ??? [77] 14.2% ??? [74] 21.7% loop [9] 26.3% [68] 4466(15.5%) 198(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [74] 21.7% simplify [15] 21.7% ??? [77] 14.2% f6 [41] 12.9% parse-loop12 [47] 8.0% ??? [3] 6.7% ??? [4] 5.6% taylor-exp [12] 2.3% ??? [5] 2.3% ??? [7] 2.2% ---------------------------------------------------------------------- taylor-alt [57] 100.0% [69] 3832(13.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [73] 100.0% ---------------------------------------------------------------------- simplify [60] 30.1% completely-simplify-alt [59] 69.9% [70] 2002(6.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [75] 100.0% ---------------------------------------------------------------------- group-by68 [65] 100.0% [71] 202(0.7%) 202(0.7%) hash-update ...cket/private/more-scheme.rkt:356:13 ---------------------------------------------------------------------- ??? [67] 100.0% [72] 16178(56.1%) 1064(3.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [79] 92.2% ---------------------------------------------------------------------- for-loop [69] 38.8% location-do [73] 61.2% [73] 3832(13.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [73] 61.2% approximate9 [2] 38.8% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [74] 3028(10.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ---------------------------------------------------------------------- simplify [60] 17.4% simplify-expr [70] 82.6% [75] 2424(8.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [80] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [76] 2422(8.4%) 1972(6.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 18.6% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [77] 2020(7.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [78] 232(0.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [82] 100.0% ---------------------------------------------------------------------- map [44] 1.3% loop [52] 1.3% parse-loop12 [47] 1.5% ??? [72] 95.9% [79] 15554(53.9%) 9302(32.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfcbrt [81] 20.4% ??? [82] 11.2% bfatan2 [84] 8.7% ---------------------------------------------------------------------- iterate-egraph!5 [75] 100.0% [80] 2424(8.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [83] 91.9% apply-match [85] 8.1% ---------------------------------------------------------------------- ??? [79] 100.0% [81] 3166(11.0%) 2268(7.9%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [86] 28.4% ---------------------------------------------------------------------- ??? [78] 9.8% ->flonum [63] 16.8% ??? [79] 73.4% [82] 2370(8.2%) 1354(4.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [88] 42.9% ---------------------------------------------------------------------- for-loop [83] 50.0% one-iter [80] 50.0% [83] 2228(7.7%) 804(2.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [83] 50.0% match-e [87] 32.0% ---------------------------------------------------------------------- ??? [79] 100.0% [84] 1346(4.7%) 1128(3.9%) bfatan2 ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [86] 16.2% ---------------------------------------------------------------------- one-iter [80] 100.0% [85] 196(0.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [89] 100.0% ---------------------------------------------------------------------- bfatan2 [84] 13.9% real->bigfloat [76] 28.7% bfcbrt [81] 57.3% [86] 1566(5.4%) 1566(5.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- for-loop [83] 100.0% [87] 1424(4.9%) 1424(4.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ---------------------------------------------------------------------- ??? [82] 100.0% [88] 1016(3.5%) 398(1.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [90] 60.8% ---------------------------------------------------------------------- apply-match [85] 100.0% [89] 196(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [91] 100.0% ---------------------------------------------------------------------- ??? [88] 100.0% [90] 618(2.1%) 618(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- merge-egraph-nodes! [89] 100.0% [91] 196(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [92] 100.0% ---------------------------------------------------------------------- enode-merge! [91] 100.0% [92] 196(0.7%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [93] 100.0% ---------------------------------------------------------------------- adopt-enode! [92] 100.0% [93] 196(0.7%) 196(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 ----------------------------------------------------------------------