Profiling results ----------------- Total cpu time observed: 23116ms (out of 23412ms) Number of samples taken: 94 (once every 246ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 91 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [15] 100.0% [1] 22078(95.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [2] 2874(12.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [3] 2798(12.1%) 282(1.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [11] 89.9% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [4] 1446(6.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [12] 100.0% ----------------------------------------------------------------------- ??? [15] 100.0% [5] 1108(4.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [13] 59.9% for-loop [14] 40.1% ----------------------------------------------------------------------- f37 [80] 100.0% [6] 404(1.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [80] 50.0% parse-loop50 [77] 50.0% ----------------------------------------------------------------------- loop [47] 100.0% [7] 220(1.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [13] 100.0% ----------------------------------------------------------------------- f37 [80] 100.0% [8] 200(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [75] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.0% [9] 22294(96.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [15] 100.0% ----------------------------------------------------------------------- ??? [2] 100.0% [10] 2874(12.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [73] 70.1% ??? [17] 29.9% ----------------------------------------------------------------------- ??? [3] 100.0% [11] 2516(10.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [77] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 1446(6.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [73] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [7] 24.9% simplify [5] 75.1% [13] 884(3.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- simplify [5] 100.0% [14] 444(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- for-loop [43] 1.6% run [9] 47.9% [15] 23116(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.0% loop [21] 32.0% run-improve58 [18] 19.4% simplify [5] 1.6% ----------------------------------------------------------------------- for-loop [14] 33.4% simplify-expr [13] 66.6% [16] 1328(5.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 83.3% map-enodes [20] 16.7% ----------------------------------------------------------------------- for-loop [10] 100.0% [17] 858(3.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [73] 100.0% ----------------------------------------------------------------------- ??? [15] 100.0% [18] 8734(37.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [22] 58.4% finalize-table! [23] 38.6% loop [21] 2.9% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [19] 1106(4.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 222(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [47] 100.0% ----------------------------------------------------------------------- run-improve58 [18] 1.7% ??? [15] 98.3% [21] 14638(63.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [25] 48.1% make-exacts* [30] 39.5% loop [31] 10.9% filter-exacts [29] 1.5% ----------------------------------------------------------------------- run-improve58 [18] 100.0% [22] 5104(22.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% ----------------------------------------------------------------------- run-improve58 [18] 100.0% [23] 3374(14.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% ----------------------------------------------------------------------- for-loop [24] 50.0% one-iter [19] 50.0% [24] 1106(4.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [28] 50.0% ----------------------------------------------------------------------- loop [21] 100.0% [25] 7046(30.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [31] 63.6% make-exacts* [30] 30.4% eval-prog [71] 6.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [26] 5104(22.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [32] 65.1% simplify! [34] 21.7% finalize-iter! [35] 4.7% gen-rewrites! [37] 4.3% localize-error [39] 4.2% ----------------------------------------------------------------------- finalize-table! [23] 100.0% [27] 3374(14.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [33] 93.5% loop [47] 6.5% ----------------------------------------------------------------------- for-loop [24] 100.0% [28] 1106(4.8%) 884(3.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [36] 20.1% ----------------------------------------------------------------------- loop [21] 100.0% [29] 216(0.9%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 for-loop [38] 100.0% ----------------------------------------------------------------------- loop [25] 27.0% loop [21] 73.0% [30] 7926(34.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [40] 53.0% loop [47] 44.0% eval-prog [71] 3.0% ----------------------------------------------------------------------- loop [21] 26.2% loop [25] 73.8% [31] 6070(26.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [40] 100.0% ----------------------------------------------------------------------- run-iter! [26] 100.0% [32] 3322(14.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [41] 100.0% ----------------------------------------------------------------------- post-process [27] 100.0% [33] 3154(13.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [42] 100.0% ----------------------------------------------------------------------- run-iter! [26] 100.0% [34] 1108(4.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [43] 100.0% ----------------------------------------------------------------------- run-iter! [26] 100.0% [35] 240(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [44] 100.0% ----------------------------------------------------------------------- match-e [28] 100.0% [36] 222(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 foldl [45] 100.0% ----------------------------------------------------------------------- run-iter! [26] 100.0% [37] 220(1.0%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [46] 100.0% ----------------------------------------------------------------------- filter-exacts [29] 100.0% [38] 216(0.9%) 216(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:111:4 ----------------------------------------------------------------------- run-iter! [26] 100.0% [39] 214(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ----------------------------------------------------------------------- parse-loop50 [77] 7.9% f37 [80] 8.0% make-exacts* [30] 34.4% loop [31] 49.7% [40] 12214(52.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [47] 82.9% parse-loop50 [77] 8.6% ??? [53] 3.7% f37 [80] 2.7% make-multiplication-node [51] 0.5% ----------------------------------------------------------------------- gen-series! [32] 100.0% [41] 3322(14.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [48] 100.0% ----------------------------------------------------------------------- parse-loop50 [77] 1.1% f37 [80] 9.4% for-loop [33] 89.5% [42] 3154(13.6%) 202(0.9%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [48] 76.8% loop [47] 13.8% f37 [80] 7.0% free-variables [52] 1.3% ----------------------------------------------------------------------- simplify! [34] 100.0% [43] 1108(4.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [15] 100.0% ----------------------------------------------------------------------- finalize-iter! [35] 100.0% [44] 240(1.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [49] 100.0% ----------------------------------------------------------------------- for-loop [36] 100.0% [45] 222(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [50] 100.0% ----------------------------------------------------------------------- gen-rewrites! [37] 100.0% [46] 220(1.0%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 debug-print [78] 100.0% ----------------------------------------------------------------------- make-exacts* [30] 0.0% post-process [27] 0.3% append-map [42] 1.2% map-enodes [20] 1.4% map [40] 6.3% parse-loop50 [77] 7.0% loop [47] 83.7% [47] 15882(68.7%) 236(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [47] 83.7% parse-loop50 [77] 8.6% ??? [53] 3.3% f37 [80] 1.8% for-loop [57] 1.4% taylor-alt [48] 0.7% completely-simplify-alt [7] 0.3% ->flonum [83] 0.2% ----------------------------------------------------------------------- loop [47] 6.2% append-map [42] 42.5% for-loop [41] 51.3% [48] 6476(28.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [54] 100.0% ----------------------------------------------------------------------- ??? [44] 100.0% [49] 240(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [55] 100.0% ----------------------------------------------------------------------- foldl [45] 100.0% [50] 222(1.0%) 222(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- map [40] 100.0% [51] 222(1.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [56]100.0% ----------------------------------------------------------------------- append-map [42] 100.0% [52] 202(0.9%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [58] 100.0% ----------------------------------------------------------------------- map [40] 3.5% loop [47] 96.5% [53] 12908(55.8%) 2060(8.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [59] 57.3% real->bigfloat [61] 20.1% ??? [74] 6.7% ----------------------------------------------------------------------- taylor-alt [48] 100.0% [54] 6476(28.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [60] 100.0% ----------------------------------------------------------------------- for-loop [49] 100.0% [55] 240(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [62] 100.0% ----------------------------------------------------------------------- make-multiplication-node [51] 100.0% [56] 222(1.0%) 222(1.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- loop [47] 100.0% [57] 222(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [63] 100.0% ----------------------------------------------------------------------- free-variables [52] 100.0% [58] 202(0.9%) 202(0.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- ??? [53] 100.0% [59] 7390(32.0%) 454(2.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [64] 84.9% ...higher-order.rkt:373:33 [66] 9.0% ----------------------------------------------------------------------- location-do [60] 35.6% for-loop [54] 64.4% [60] 6476(28.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [65] 62.7% location-do [60] 35.6% simplify [75] 1.7% ----------------------------------------------------------------------- ??? [53] 100.0% [61] 2594(11.2%) 2366(10.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [87] 8.8% ----------------------------------------------------------------------- atab-add-altn [55] 100.0% [62] 240(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [67] 100.0% ----------------------------------------------------------------------- for-loop [57] 100.0% [63] 222(1.0%) 222(1.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- ??? [59] 100.0% [64] 6272(27.1%) 1914(8.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [69] 27.4% bflog [70] 27.1% ??? [84] 15.0% ----------------------------------------------------------------------- location-do [60] 100.0% [65] 6256(27.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [68] 96.8% f37 [80] 3.2% ----------------------------------------------------------------------- ??? [59] 100.0% [66] 664(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [74] 62.3% ??? [72] 37.7% ----------------------------------------------------------------------- best-and-tied-at-points [62] 100.0% [67] 240(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [71] 100.0% ----------------------------------------------------------------------- approximate9 [65] 100.0% [68] 6056(26.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ----------------------------------------------------------------------- ??? [64] 100.0% [69] 1716(7.4%) 1716(7.4%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ----------------------------------------------------------------------- ??? [64] 100.0% [70] 1700(7.4%) 1202(5.2%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [87] 29.3% ----------------------------------------------------------------------- make-exacts* [30] 26.2% errors [67] 26.6% loop [25] 47.2% [71] 902(3.9%) 902(3.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [66] 100.0% [72] 250(1.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [74] 100.0% ----------------------------------------------------------------------- localize-error [39] 1.7% ??? [17] 3.7% for-loop [12] 6.6% for-loop [10] 10.7% for-loop [79] 11.4% ??? [76] 32.1% loop [68] 32.1% [73] 6270(27.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [76] 32.1% simplify [75] 29.8% ??? [2] 14.4% ??? [3] 13.7% ??? [4] 6.6% f37 [80] 1.7% parse-loop50 [77] 1.7% ----------------------------------------------------------------------- ??? [72] 16.4% ...higher-order.rkt:373:33 [66] 27.1% ??? [53] 56.5% [74] 1528(6.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [84] 100.0% ----------------------------------------------------------------------- taylor-invert [8] 3.2% location-do [60] 3.6% hash-ref! [73] 93.2% [75] 6194(26.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [77] 83.1% f37 [80] 10.1% debug-print [78] 6.8% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [76] 6056(26.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ----------------------------------------------------------------------- composed [6] 3.4% hash-ref! [73] 3.6% loop [47] 7.4% for-loop [11] 9.8% map [40] 10.0% simplify [75] 25.4% parse-loop50 [77] 40.5% [77] 5988(25.9%) 4520(19.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [77] 40.5% for-loop [79] 9.8% map [40] 7.6% loop [47] 6.0% f37 [80] 4.2% loop [82] 3.6% append-map [42] 3.4% ----------------------------------------------------------------------- for-loop [46] 34.4% simplify [75] 65.6% [78] 640(2.8%) 220(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [81] 65.6% ----------------------------------------------------------------------- parse-loop50 [77] 100.0% [79] 2516(10.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [73] 100.0% ----------------------------------------------------------------------- composed [6] 2.4% f37 [80] 6.0% approximate9 [65] 6.0% loop [47] 6.5% map [40] 10.5% simplify [75] 10.5% hash-ref! [73] 12.8% append-map [42] 13.3% parse-loop50 [77] 32.0% [80] 1666(7.2%) 226(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [40] 52.2% append-map [42] 17.8% f37 [80] 6.0% taylor-invert [8] 6.0% composed [6] 4.4% ----------------------------------------------------------------------- debug-print [78] 100.0% [81] 420(1.8%) 420(1.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- parse-loop50 [77] 1.3% loop [82] 98.7% [82] 214(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [82] 98.7% ->flonum [83] 1.3% ----------------------------------------------------------------------- loop [82] 25.8% loop [47] 74.2% [83] 830(3.6%) 420(1.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [84] 25.8% ??? [85] 23.6% ----------------------------------------------------------------------- ->flonum [83] 8.0% ??? [64] 35.1% ??? [74] 56.9% [84] 2684(11.6%) 1108(4.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [86] 58.7% ----------------------------------------------------------------------- ->flonum [83] 100.0% [85] 196(0.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [87] 100.0% ----------------------------------------------------------------------- ??? [84] 100.0% [86] 1576(6.8%) 406(1.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [88] 74.2% ----------------------------------------------------------------------- ??? [85] 21.3% real->bigfloat [61] 24.7% bflog [70] 54.0% [87] 922(4.0%) 922(4.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [86] 100.0% [88] 1170(5.1%) 1170(5.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------