Profiling results ----------------- Total cpu time observed: 48320ms (out of 48780ms) Number of samples taken: 212 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 103 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [15] 100.0% [1] 47496(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ location-do [83] 100.0% [2] 16862(34.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 96.1% f37 [50] 2.6% taylor [14] 1.3% ------------------------------------------------------------------------ loop [58] 1.3% hash-ref! [66] 98.7% [3] 16640(34.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [56] 59.3% f37 [50] 39.5% debug-print [18] 1.2% ------------------------------------------------------------------------ hash-ref! [66] 100.0% [4] 11714(24.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [10] 100.0% ------------------------------------------------------------------------ hash-ref! [66] 100.0% [5] 11290(23.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [66] 100.0% [6] 6774(14.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [12] 100.0% ------------------------------------------------------------------------ loop [58] 100.0% [7] 1666(3.4%) 420(0.9%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [13] 74.8% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [8] 47496(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [15] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [9] 16198(33.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [66] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [10] 11714(24.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [11] 11290(23.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [66] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [12] 6774(14.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [56] 100.0% ------------------------------------------------------------------------ simplify [21] 25.3% completely-simplify-alt [7] 74.7% [13] 1668(3.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [14] 222(0.5%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [18] 100.0% ------------------------------------------------------------------------ for-loop [46] 1.1% run [8] 48.7% [15] 48320(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.7% loop [23] 28.1% run-improve58 [19] 22.2% simplify [21] 1.1% ------------------------------------------------------------------------ for-loop [10] 100.0% [16] 11714(24.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [66] 100.0% ------------------------------------------------------------------------ simplify [21] 37.6% simplify-expr [13] 62.4% [17] 2674(5.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% ------------------------------------------------------------------------ simplify [3] 47.4% taylor [14] 52.6% [18] 422(0.9%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [22] 100.0% ------------------------------------------------------------------------ ??? [15] 100.0% [19] 21210(43.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [24] 70.3% for-loop [25] 26.8% loop [23] 1.8% get-final-combination [28] 1.0% ------------------------------------------------------------------------ iterate-egraph!5 [17] 100.0% [20] 2674(5.5%) 202(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 69.2% loop [27] 23.3% ------------------------------------------------------------------------ ??? [15] 100.0% [21] 1428(3.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [17] 70.4% simplify-expr [13] 29.6% ------------------------------------------------------------------------ debug-print [18] 100.0% [22] 422(0.9%) 422(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ run-improve58 [19] 1.4% ??? [15] 98.6% [23] 27500(56.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [35] 44.0% loop [30] 43.3% loop [37] 12.7% ------------------------------------------------------------------------ run-improve58 [19] 100.0% [24] 14908(30.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [29] 100.0% ------------------------------------------------------------------------ run-improve58 [19] 100.0% [25] 5690(11.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [31] 100.0% ------------------------------------------------------------------------ for-loop [26] 50.0% one-iter [20] 50.0% [26] 1850(3.8%) 202(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [32] 44.5% ------------------------------------------------------------------------ one-iter [20] 100.0% [27] 622(1.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ------------------------------------------------------------------------ run-improve58 [19] 100.0% [28] 222(0.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [34] 100.0% ------------------------------------------------------------------------ finalize-table! [24] 100.0% [29] 14908(30.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [36] 85.9% loop [58] 11.2% ??? [48] 1.5% ------------------------------------------------------------------------ loop [23] 100.0% [30] 11896(24.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [37] 50.1% make-exacts* [35] 49.9% ------------------------------------------------------------------------ for-loop [25] 100.0% [31] 5690(11.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [38] 71.4% simplify! [39] 25.1% finalize-iter! [43] 3.5% ------------------------------------------------------------------------ for-loop [40] 12.8% for-loop [26] 87.2% [32] 1648(3.4%) 1448(3.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [40] 12.8% for-loop [42] 6.1% ------------------------------------------------------------------------ loop [27] 100.0% [33] 622(1.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [68] 100.0% ------------------------------------------------------------------------ get-final-combination [28] 100.0% [34] 222(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [41] 100.0% ------------------------------------------------------------------------ loop [30] 32.9% loop [23] 67.1% [35] 18040(37.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [52] 50.2% loop [58] 47.3% eval-prog [47] 2.5% ------------------------------------------------------------------------ post-process [29] 100.0% [36] 12800(26.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [44] 100.0% ------------------------------------------------------------------------ loop [23] 37.0% loop [30] 63.0% [37] 9460(19.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ------------------------------------------------------------------------ run-iter! [31] 100.0% [38] 4062(8.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [45] 100.0% ------------------------------------------------------------------------ run-iter! [31] 100.0% [39] 1428(3.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% ------------------------------------------------------------------------ match-e [32] 100.0% [40] 422(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [32] 100.0% ------------------------------------------------------------------------ extract-alt [34] 100.0% [41] 222(0.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [53] 100.0% ------------------------------------------------------------------------ match-e [32] 100.0% [42] 200(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [49] 100.0% ------------------------------------------------------------------------ run-iter! [31] 100.0% [43] 200(0.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [48] 100.0% ------------------------------------------------------------------------ parse-loop50 [56] 0.2% f37 [50] 1.1% for-loop [36] 98.6% [44] 12800(26.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [67] 85.8% loop [58] 13.1% f37 [50] 0.9% parse-loop50 [56] 0.2% ------------------------------------------------------------------------ gen-series! [38] 100.0% [45] 4062(8.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [67] 100.0% ------------------------------------------------------------------------ simplify! [39] 100.0% [46] 1428(3.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [15] 100.0% ------------------------------------------------------------------------ make-exacts* [35] 100.0% [47] 448(0.9%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [66] 100.0% ------------------------------------------------------------------------ finalize-iter! [43] 47.4% post-process [29] 52.6% [48] 422(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [51] 100.0% ------------------------------------------------------------------------ for-loop [42] 100.0% [49] 200(0.4%) 200(0.4%) loop ...e/racket/collects/racket/function.rkt:53:6 ------------------------------------------------------------------------ composed [53] 0.7% append-map [44] 1.6% approximate9 [2] 3.6% loop [58] 6.0% map [52] 9.1% parse-loop50 [56] 11.6% simplify [3] 67.4% [50] 7400(15.3%) 1422(2.9%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [52] 82.3% taylor-sqrt [55] 3.0% append-map [44] 1.9% composed [53] 0.7% loop [58] 0.6% ------------------------------------------------------------------------ ??? [48] 100.0% [51] 422(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [54] 100.0% ------------------------------------------------------------------------ parse-loop50 [56] 12.9% f37 [50] 20.7% make-exacts* [35] 32.4% loop [37] 33.9% [52] 27932(57.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 71.3% parse-loop50 [56] 25.7% f37 [50] 2.8% ------------------------------------------------------------------------ loop [41] 35.6% f37 [50] 64.4% [53] 624(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [50] 64.4% errors [61] 35.6% ------------------------------------------------------------------------ for-loop [51] 100.0% [54] 422(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [57] 100.0% ------------------------------------------------------------------------ f37 [50] 100.0% [55] 222(0.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [66] 100.0% ------------------------------------------------------------------------ append-map [44] 1.2% hash-ref! [66] 1.3% loop [58] 11.6% for-loop [12] 12.1% simplify [3] 18.1% map [52] 23.6% parse-loop50 [56] 32.1% [56] 16440(34.0%) 12720(26.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [56] 32.1% for-loop [59] 12.1% loop [58] 11.6% map [52] 7.3% f37 [50] 4.2% parse-app [60] 3.6% append-map [44] 1.2% make-multiplication-node [64] 0.6% ??? [63] 0.5% ------------------------------------------------------------------------ atab-add-altn [54] 100.0% [57] 422(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [62] 52.6% errors [61] 47.4% ------------------------------------------------------------------------ loop! [68] 0.1% post-process [29] 0.4% f37 [50] 0.6% make-exacts* [35] 0.9% append-map [44] 3.6% map [52] 5.9% parse-loop50 [56] 10.4% loop [58] 76.9% [58] 38152(79.0%) 222(0.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 76.9% parse-loop50 [56] 12.9% taylor-alt [67] 3.1% ??? [65] 3.0% f37 [50] 1.7% hash-ref! [66] 1.2% simplify [3] 0.6% completely-simplify-alt [7] 0.4% ->flonum [70] 0.1% loop! [68] 0.1% ??? [82] 0.0% ------------------------------------------------------------------------ parse-loop50 [56] 100.0% [59] 6774(14.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [66] 100.0% ------------------------------------------------------------------------ parse-loop50 [56] 100.0% [60] 1050(2.2%) 1050(2.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ best-and-tied-at-points [57] 47.4% composed [53] 52.6% [61] 422(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [69] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [57] 100.0% [62] 222(0.5%) 222(0.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ parse-loop50 [56] 100.0% [63] 222(0.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [71] 100.0% ------------------------------------------------------------------------ parse-loop50 [56] 100.0% [64] 200(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [72]100.0% ------------------------------------------------------------------------ loop [58] 100.0% [65] 26558(55.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [73] 86.1% real->bigfloat [76] 12.2% ??? [93] 0.8% ------------------------------------------------------------------------ taylor-sqrt [55] 0.4% eval-prog [47] 1.0% loop [58] 1.6% for-loop [59] 7.9% for-loop [11] 15.2% for-loop [16] 16.7% ??? [75] 27.0% loop [9] 27.0% [66] 17088(35.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [3] 27.4% ??? [75] 27.0% ??? [4] 16.7% ??? [5] 15.2% ??? [6] 7.9% parse-loop50 [56] 1.3% bigfloat-hash [77] 1.0% ------------------------------------------------------------------------ loop [58] 9.8% for-loop [45] 24.1% append-map [44] 66.1% [67] 16862(34.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [74] 100.0% ------------------------------------------------------------------------ loop [58] 45.0% apply-match [33] 55.0% [68] 622(1.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [58] 45.0% custom-set-union [79] 32.5% set [78] 22.5% ------------------------------------------------------------------------ errors [61] 100.0% [69] 422(0.9%) 222(0.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [81] 47.4% ------------------------------------------------------------------------ loop [58] 100.0% [70] 272(0.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 100.0% ------------------------------------------------------------------------ ??? [63] 100.0% [71] 222(0.5%) 222(0.5%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------ make-multiplication-node [64] 100.0% [72] 200(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [80] 100.0% ------------------------------------------------------------------------ ??? [65] 100.0% [73] 22856(47.3%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 95.8% ...higher-order.rkt:373:33 [84] 4.2% ------------------------------------------------------------------------ taylor-alt [67] 100.0% [74] 16862(34.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [83] 100.0% ------------------------------------------------------------------------ hash-ref! [66] 100.0% [75] 16198(33.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [66] 100.0% ------------------------------------------------------------------------ ??? [65] 100.0% [76] 3250(6.7%) 2550(5.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [92] 21.5% ------------------------------------------------------------------------ hash-ref! [66] 100.0% [77] 448(0.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [85] 55.8% bfcanonicalize [87] 44.2% ------------------------------------------------------------------------ loop! [68] 100.0% [78] 420(0.9%) 420(0.9%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ loop! [68] 100.0% [79] 202(0.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [86] 100.0% ------------------------------------------------------------------------ make-multiplication-subnode [72]100.0% [80] 200(0.4%) 200(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------ for-loop [69] 100.0% [81] 200(0.4%) 200(0.4%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------ loop [58] 1.0% ??? [73] 99.0% [82] 22122(45.8%) 16446(34.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [88] 15.0% bfatan [89] 6.5% ??? [94] 4.2% ------------------------------------------------------------------------ for-loop [74] 34.6% location-do [83] 65.4% [83] 16862(34.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [83] 65.4% approximate9 [2] 34.6% ------------------------------------------------------------------------ ??? [73] 100.0% [84] 954(2.0%) 240(0.5%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 50.7% ??? [93] 24.1% ------------------------------------------------------------------------ bigfloat-hash [77] 100.0% [85] 250(0.5%) 250(0.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ custom-set-union [79] 100.0% [86] 202(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [91] 100.0% ------------------------------------------------------------------------ bigfloat-hash [77] 100.0% [87] 198(0.4%) 198(0.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ ??? [82] 100.0% [88] 3326(6.9%) 2126(4.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [92] 36.1% ------------------------------------------------------------------------ ??? [82] 100.0% [89] 1430(3.0%) 964(2.0%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [92] 32.6% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [84] 100.0% [90] 484(1.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% ------------------------------------------------------------------------ for-loop [86] 100.0% [91] 202(0.4%) 202(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ bfatan [89] 19.7% real->bigfloat [76] 29.6% bfsub [88] 50.7% [92] 2366(4.9%) 2366(4.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [65] 23.1% ...higher-order.rkt:373:33 [84] 24.8% ??? [90] 52.2% [93] 928(1.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ------------------------------------------------------------------------ ->flonum [70] 12.8% ??? [82] 43.4% ??? [93] 43.8% [94] 2120(4.4%) 720(1.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 66.0% ------------------------------------------------------------------------ ??? [94] 100.0% [95] 1400(2.9%) 956(2.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 31.7% ------------------------------------------------------------------------ ??? [95] 100.0% [96] 444(0.9%) 444(0.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------