Profiling results ----------------- Total cpu time observed: 50626ms (out of 51220ms) Number of samples taken: 226 (once every 224ms) (Hiding functions with self<1.0% and local<2.0%: 8 of 107 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [17] 100.0% [1] 49762(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------------ location-do [88] 100.0% [2] 18580(36.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [10] 97.7% f6 [54] 2.3% ------------------------------------------------------------------------ hash-ref! [82] 100.0% [3] 11030(21.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 98.2% partition-list [16] 1.8% ------------------------------------------------------------------------ hash-ref! [82] 100.0% [4] 9822(19.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ------------------------------------------------------------------------ hash-ref! [82] 100.0% [5] 6088(12.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [13] 100.0% ------------------------------------------------------------------------ loop [66] 100.0% [6] 1706(3.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [14] 100.0% ------------------------------------------------------------------------ map [57] 12.3% loop [66] 87.7% [7] 824(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [82] 100.0% ------------------------------------------------------------------------ hash-ref! [82] 100.0% [8] 202(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [15] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [9] 49762(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [17] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [10] 18160(35.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [82] 100.0% ------------------------------------------------------------------------ ??? [3] 100.0% [11] 10830(21.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 9822(19.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [82] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 6088(12.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [61] 100.0% ------------------------------------------------------------------------ simplify [24] 19.1% completely-simplify-alt [6] 80.9% [14] 2108(4.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [15] 202(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [18] 100.0% ------------------------------------------------------------------------ ??? [3] 100.0% [16] 200(0.4%) 0(0.0%) partition-list ...herbie/src/core/taylor.rkt:376:0 aux [21] 100.0% ------------------------------------------------------------------------ for-loop [51] 0.9% run [9] 48.7% [17] 50626(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.7% loop [27] 27.0% run-improve58 [22] 23.4% simplify [24] 0.9% ------------------------------------------------------------------------ for-loop [15] 1.1% hash-ref! [82] 97.8% [18] 18380(36.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [54] 52.1% parse-loop12 [61] 46.8% debug-print [26] 1.1% ------------------------------------------------------------------------ for-loop [11] 100.0% [19] 10830(21.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [82] 100.0% ------------------------------------------------------------------------ simplify [24] 32.2% simplify-expr [14] 67.8% [20] 3110(6.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 93.0% map-enodes [25] 7.0% ------------------------------------------------------------------------ aux [21] 50.0% partition-list [16] 50.0% [21] 200(0.4%) 200(0.4%) aux ...e/ztatlock/herbie/src/core/taylor.rkt:377:2 aux [21] 50.0% ------------------------------------------------------------------------ ??? [17] 100.0% [22] 23760(46.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [28] 73.4% for-loop [29] 25.7% loop [27] 0.9% ------------------------------------------------------------------------ iterate-egraph!5 [20] 100.0% [23] 2892(5.7%) 222(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 64.5% loop [31] 20.9% loop [33] 6.9% ------------------------------------------------------------------------ ??? [17] 100.0% [24] 1404(2.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [20] 71.4% simplify-expr [14] 28.6% ------------------------------------------------------------------------ iterate-egraph!5 [20] 100.0% [25] 218(0.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 set-precompute! [32] 100.0% ------------------------------------------------------------------------ simplify [18] 100.0% [26] 200(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [34] 100.0% ------------------------------------------------------------------------ run-improve58 [22] 0.8% ??? [17] 99.2% [27] 27070(53.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [36] 52.1% make-exacts* [40] 35.7% loop [42] 12.1% ------------------------------------------------------------------------ run-improve58 [22] 100.0% [28] 17442(34.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [35] 100.0% ------------------------------------------------------------------------ run-improve58 [22] 100.0% [29] 6114(12.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [37] 100.0% ------------------------------------------------------------------------ for-loop [30] 44.1% one-iter [23] 55.9% [30] 1866(3.7%) 662(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 44.1% match-e [44] 32.3% ------------------------------------------------------------------------ one-iter [23] 100.0% [31] 604(1.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ------------------------------------------------------------------------ map-enodes [25] 100.0% [32] 218(0.4%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [39] 100.0% ------------------------------------------------------------------------ one-iter [23] 100.0% [33] 200(0.4%) 200(0.4%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ debug-print [26] 100.0% [34] 200(0.4%) 200(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ finalize-table! [28] 100.0% [35] 17442(34.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [41] 85.4% loop [66] 10.9% ??? [52] 2.4% localize-error [46] 1.3% ------------------------------------------------------------------------ loop [27] 100.0% [36] 14110(27.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [42] 56.3% make-exacts* [40] 42.2% eval-prog [74] 1.6% ------------------------------------------------------------------------ for-loop [29] 100.0% [37] 6114(12.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [43] 63.6% simplify! [45] 23.0% finalize-iter! [47] 6.9% localize-error [46] 6.5% ------------------------------------------------------------------------ loop [31] 100.0% [38] 604(1.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [44] 66.9% merge-egraph-nodes! [48] 33.1% ------------------------------------------------------------------------ set-precompute! [32] 100.0% [39] 218(0.4%) 218(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 ------------------------------------------------------------------------ loop [36] 38.1% loop [27] 61.9% [40] 15624(30.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [66] 53.0% map [57] 47.0% ------------------------------------------------------------------------ post-process [35] 100.0% [41] 14890(29.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [49] 100.0% ------------------------------------------------------------------------ loop [27] 29.3% loop [36] 70.7% [42] 11224(22.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [57] 100.0% ------------------------------------------------------------------------ run-iter! [37] 100.0% [43] 3890(7.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [50] 100.0% ------------------------------------------------------------------------ for-loop [56] 6.3% apply-match [38] 18.8% for-loop [30] 74.9% [44] 1608(3.2%) 1204(2.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 18.8% for-loop [56] 12.6% ------------------------------------------------------------------------ run-iter! [37] 100.0% [45] 1404(2.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [51] 100.0% ------------------------------------------------------------------------ loop [66] 24.5% post-process [35] 26.9% run-iter! [37] 48.5% [46] 824(1.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [82] 100.0% ------------------------------------------------------------------------ run-iter! [37] 100.0% [47] 420(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [52] 100.0% ------------------------------------------------------------------------ apply-match [38] 100.0% [48] 200(0.4%) 200(0.4%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 ------------------------------------------------------------------------ simplify-node [63] 0.7% f6 [54] 4.9% for-loop [41] 94.4% [49] 15292(30.2%) 804(1.6%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [73] 82.8% loop [66] 11.6% f6 [54] 2.7% ------------------------------------------------------------------------ gen-series! [43] 100.0% [50] 3890(7.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [73] 100.0% ------------------------------------------------------------------------ simplify! [45] 100.0% [51] 1404(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [17] 100.0% ------------------------------------------------------------------------ finalize-iter! [47] 49.9% post-process [35] 50.1% [52] 842(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [55] 100.0% ------------------------------------------------------------------------ match-e [44] 100.0% [53] 404(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [56] 100.0% ------------------------------------------------------------------------ f6 [54] 0.9% approximate9 [2] 1.4% composed [58] 2.4% append-map [49] 2.7% hash-ref! [82] 5.6% loop [66] 7.4% parse-loop12 [61] 11.1% map [57] 15.0% simplify [18] 53.4% [54] 11208(22.1%) 1008(2.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [57] 80.8% append-map [49] 4.8% parse-app [68] 2.7% composed [58] 2.4% f6 [54] 0.9% ------------------------------------------------------------------------ ??? [52] 100.0% [55] 842(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [59] 100.0% ------------------------------------------------------------------------ match-e [44] 33.3% for-loop [53] 66.7% [56] 606(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ??? [60] 66.7% match-e [44] 33.3% ------------------------------------------------------------------------ parse-loop12 [61] 8.8% make-exacts* [40] 24.3% f6 [54] 29.8% loop [42] 37.1% [57] 30232(59.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [66] 65.6% parse-loop12 [61] 26.0% f6 [54] 5.9% simplify-node [63] 1.0% ??? [72] 0.7% make-multiplication-node [65] 0.3% ??? [7] 0.3% ??? [76] 0.2% ------------------------------------------------------------------------ f6 [54] 100.0% [58] 1004(2.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [54] 100.0% ------------------------------------------------------------------------ for-loop [55] 100.0% [59] 842(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [62] 100.0% ------------------------------------------------------------------------ for-loop [56] 100.0% [60] 404(0.8%) 202(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 custom-in-set [64] 50.0% ------------------------------------------------------------------------ hash-ref! [82] 4.5% loop [66] 6.3% for-loop [13] 11.7% simplify [18] 16.4% parse-loop12 [61] 26.0% map [57] 35.1% [61] 18400(36.3%) 12896(25.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [61] 26.0% loop [66] 15.2% for-loop [67] 11.7% f6 [54] 7.3% map [57] 7.1% parse-app [68] 4.3% ??? [76] 0.2% ------------------------------------------------------------------------ atab-add-altn [59] 100.0% [62] 842(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [69] 100.0% ------------------------------------------------------------------------ map [57] 100.0% [63] 402(0.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [49] 50.2% combine-aterms [71] 49.8% ------------------------------------------------------------------------ ??? [60] 100.0% [64] 202(0.4%) 202(0.4%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------------ map [57] 100.0% [65] 202(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [70]100.0% ------------------------------------------------------------------------ post-process [35] 0.4% make-exacts* [40] 0.9% append-map [49] 4.1% map [57] 5.5% parse-loop12 [61] 10.1% loop [66] 78.4% [66] 37126(73.3%) 232(0.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [66] 78.4% parse-loop12 [61] 9.6% taylor-alt [73] 4.1% f6 [54] 3.5% ??? [72] 3.0% hash-ref! [82] 0.5% completely-simplify-alt [6] 0.4% ??? [76] 0.3% ->flonum [75] 0.1% ??? [7] 0.1% ??? [87] 0.0% localize-error [46] 0.0% ------------------------------------------------------------------------ parse-loop12 [61] 100.0% [67] 6088(12.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [82] 100.0% ------------------------------------------------------------------------ f6 [54] 35.9% parse-loop12 [61] 64.1% [68] 1668(3.3%) 1248(2.5%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [77] 25.2% ------------------------------------------------------------------------ best-and-tied-at-points [62] 100.0% [69] 842(1.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [74] 76.2% for-loop [79] 23.8% ------------------------------------------------------------------------ make-multiplication-node [65] 100.0% [70] 202(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [78] 100.0% ------------------------------------------------------------------------ simplify-node [63] 100.0% [71] 200(0.4%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [80] 100.0% ------------------------------------------------------------------------ map [57] 0.8% loop [66] 99.2% [72] 25936(51.2%) 1084(2.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 80.3% real->bigfloat [84] 11.9% ??? [96] 3.6% ------------------------------------------------------------------------ loop [66] 10.0% for-loop [50] 20.7% append-map [49] 69.3% [73] 18780(37.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [83] 100.0% ------------------------------------------------------------------------ loop [36] 25.7% errors [69] 74.3% [74] 864(1.7%) 664(1.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [82] 23.1% ------------------------------------------------------------------------ loop [66] 100.0% [75] 680(1.3%) 238(0.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [85] 65.0% ------------------------------------------------------------------------ loop [66] 33.0% map [57] 33.3% parse-loop12 [61] 33.7% [76] 600(1.2%) 202(0.4%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [86] 33.3% pattern-match [91] 33.0% ------------------------------------------------------------------------ loop [77] 23.6% parse-app [68] 76.4% [77] 420(0.8%) 420(0.8%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [77] 23.6% ------------------------------------------------------------------------ make-multiplication-subnode [70]100.0% [78] 202(0.4%) 202(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------ errors [69] 100.0% [79] 200(0.4%) 200(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ------------------------------------------------------------------------ combine-aterms [71] 100.0% [80] 200(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [82] 100.0% ------------------------------------------------------------------------ ??? [72] 100.0% [81] 20826(41.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 96.6% ...higher-order.rkt:373:33 [90] 3.4% ------------------------------------------------------------------------ for-loop [80] 0.2% loop [66] 0.5% eval-prog [74] 0.5% localize-error [46] 1.8% ??? [7] 2.5% for-loop [67] 6.6% for-loop [12] 11.6% for-loop [19] 14.0% ??? [89] 30.2% loop [10] 30.2% [82] 19404(38.3%) 400(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [89] 30.2% simplify [18] 30.0% ??? [3] 14.5% ??? [4] 11.6% ??? [5] 6.6% parse-loop12 [61] 2.6% f6 [54] 1.6% ??? [8] 0.2% ------------------------------------------------------------------------ taylor-alt [73] 100.0% [83] 18780(37.1%) 200(0.4%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [88] 98.9% ------------------------------------------------------------------------ ??? [72] 100.0% [84] 3090(6.1%) 2820(5.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 8.7% ------------------------------------------------------------------------ ->flonum [75] 100.0% [85] 442(0.9%) 442(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [76] 100.0% [86] 200(0.4%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [91] 100.0% ------------------------------------------------------------------------ loop [66] 2.9% ??? [81] 97.1% [87] 20728(40.9%) 14350(28.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [92] 15.8% ??? [97] 11.1% bflog [93] 3.9% ------------------------------------------------------------------------ for-loop [83] 33.1% location-do [88] 66.9% [88] 18580(36.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [88] 66.9% approximate9 [2] 33.1% ------------------------------------------------------------------------ hash-ref! [82] 100.0% [89] 18160(35.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [82] 100.0% ------------------------------------------------------------------------ ??? [81] 100.0% [90] 700(1.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [96] 65.7% ??? [94] 34.3% ------------------------------------------------------------------------ ??? [76] 49.7% for-loop [86] 50.3% [91] 398(0.8%) 398(0.8%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------ ??? [87] 100.0% [92] 3268(6.5%) 762(1.5%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 76.7% ------------------------------------------------------------------------ ??? [87] 100.0% [93] 800(1.6%) 800(1.6%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [90] 100.0% [94] 240(0.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ------------------------------------------------------------------------ real->bigfloat [84] 9.7% bfexpt [92] 90.3% [95] 2776(5.5%) 2776(5.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [94] 14.7% ...higher-order.rkt:373:33 [90] 28.1% ??? [72] 57.2% [96] 1636(3.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ------------------------------------------------------------------------ ??? [96] 41.5% ??? [87] 58.5% [97] 3946(7.8%) 1672(3.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 57.6% ------------------------------------------------------------------------ ??? [97] 100.0% [98] 2274(4.5%) 424(0.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 81.4% ------------------------------------------------------------------------ ??? [98] 100.0% [99] 1850(3.7%) 1850(3.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------