Profiling results ----------------- Total cpu time observed: 34578ms (out of 35140ms) Number of samples taken: 151 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 95 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [13] 100.0% [1] 34378(99.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- location-do [71] 100.0% [2] 12956(37.5%) 200(0.6%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [8] 96.9% f16 [46] 1.5% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [3] 8812(25.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [9] 100.0% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [4] 8432(24.4%) 428(1.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [10] 94.9% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [5] 4342(12.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [6] 200(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [12] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 34378(99.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [13] 100.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [8] 12556(36.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [42] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [9] 8812(25.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [14] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [10] 8004(23.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [42] 97.5% simplify [44] 2.5% ----------------------------------------------------------------------- ??? [5] 100.0% [11] 4342(12.6%) 220(0.6%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [53] 94.9% ----------------------------------------------------------------------- ??? [6] 100.0% [12] 200(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 ??? [15] 100.0% ----------------------------------------------------------------------- for-loop [33] 0.6% run [7] 49.4% [13] 34578(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.4% loop [18] 25.9% run-improve58 [16] 24.1% simplify [17] 0.6% ----------------------------------------------------------------------- for-loop [9] 100.0% [14] 8812(25.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [42] 100.0% ----------------------------------------------------------------------- for-loop [12] 15.9% map [50] 16.9% loop [56] 67.1% [15] 1254(3.6%) 200(0.6%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [42] 84.1% ----------------------------------------------------------------------- ??? [13] 100.0% [16] 16650(48.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [19] 78.7% for-loop [20] 20.1% loop [18] 1.2% ----------------------------------------------------------------------- ??? [13] 100.0% [17] 604(1.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [72] 66.9% simplify-expr [69] 33.1% ----------------------------------------------------------------------- run-improve58 [16] 1.1% ??? [13] 98.9% [18] 18132(52.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [22] 54.0% make-exacts* [25] 35.9% loop [26] 10.1% ----------------------------------------------------------------------- run-improve58 [16] 100.0% [19] 13106(37.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [21] 100.0% ----------------------------------------------------------------------- run-improve58 [16] 100.0% [20] 3340(9.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% ----------------------------------------------------------------------- finalize-table! [19] 100.0% [21] 13106(37.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [24] 82.9% loop [56] 12.3% ??? [32] 3.3% localize-error [28] 1.5% ----------------------------------------------------------------------- loop [18] 100.0% [22] 9794(28.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [26] 63.1% make-exacts* [25] 36.9% ----------------------------------------------------------------------- for-loop [20] 100.0% [23] 3340(9.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [27] 62.6% simplify! [29] 18.1% localize-error [28] 13.3% finalize-iter! [30] 6.0% ----------------------------------------------------------------------- post-process [21] 100.0% [24] 10866(31.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [57] 100.0% ----------------------------------------------------------------------- loop [22] 35.8% loop [18] 64.2% [25] 10120(29.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [50] 57.4% loop [56] 40.7% eval-prog [40] 1.9% ----------------------------------------------------------------------- loop [18] 22.9% loop [22] 77.1% [26] 8012(23.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 100.0% ----------------------------------------------------------------------- run-iter! [23] 100.0% [27] 2090(6.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ----------------------------------------------------------------------- post-process [21] 19.2% loop [56] 38.7% run-iter! [23] 42.1% [28] 1054(3.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [42] 100.0% ----------------------------------------------------------------------- run-iter! [23] 100.0% [29] 604(1.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [33] 100.0% ----------------------------------------------------------------------- run-iter! [23] 100.0% [30] 202(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- gen-series! [27] 100.0% [31] 2090(6.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [63] 100.0% ----------------------------------------------------------------------- finalize-iter! [30] 24.3% debug7 [48] 24.3% post-process [21] 51.4% [32] 832(2.4%) 202(0.6%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 51.0% atab-add-altns [35] 24.8% ----------------------------------------------------------------------- simplify! [29] 100.0% [33] 604(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [13] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [34] 424(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [35] 206(0.6%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [36] 100.0% ----------------------------------------------------------------------- atab-add-altns [35] 32.7% for-loop [34] 67.3% [36] 630(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [37] 100.0% ----------------------------------------------------------------------- atab-add-altn [36] 100.0% [37] 630(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [38] 64.8% for-loop [39] 35.2% ----------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [38] 408(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [40] 50.5% for-loop [41] 49.5% ----------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [39] 222(0.6%) 222(0.6%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- make-exacts* [25] 48.8% errors [38] 51.2% [40] 402(1.2%) 206(0.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [42] 48.8% ----------------------------------------------------------------------- errors [38] 100.0% [41] 202(0.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [62] 100.0% ----------------------------------------------------------------------- eval-prog [40] 0.5% loop [56] 0.9% localize-error [28] 3.3% ??? [15] 4.3% for-loop [58] 6.6% for-loop [10] 13.2% for-loop [14] 15.6% ??? [43] 26.4% loop [8] 26.4% [42] 14006(40.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [43] 26.4% simplify [44] 25.7% ??? [3] 15.6% ??? [4] 14.7% ??? [5] 7.0% parse-loop12 [53] 4.1% f16 [46] 3.5% bigfloat-hash [45] 0.5% ??? [6] 0.3% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [43] 12556(36.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [42] 100.0% ----------------------------------------------------------------------- for-loop [10] 1.7% hash-ref! [42] 98.3% [44] 11908(34.4%) 222(0.6%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [53] 49.8% f16 [46] 41.6% debug-print [47] 5.1% debug7 [48] 1.7% ----------------------------------------------------------------------- hash-ref! [42] 100.0% [45] 196(0.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [49] 100.0% ----------------------------------------------------------------------- composed [52] 0.4% f16 [46] 0.8% approximate9 [2] 0.8% append-map [57] 2.2% loop [56] 10.2% map [50] 12.2% hash-ref! [42] 12.6% parse-loop12 [53] 14.0% simplify [44] 46.8% [46] 6606(19.1%) 1002(2.9%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [50] 86.3% append-map [57] 2.6% composed [52] 1.2% f16 [46] 0.8% ----------------------------------------------------------------------- simplify [44] 100.0% [47] 604(1.7%) 202(0.6%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [51] 66.6% ----------------------------------------------------------------------- simplify [44] 100.0% [48] 202(0.6%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [32] 100.0% ----------------------------------------------------------------------- bigfloat-hash [45] 100.0% [49] 196(0.6%) 196(0.6%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- parse-loop12 [53] 8.7% make-exacts* [25] 26.7% f16 [46] 27.8% loop [26] 36.8% [50] 21746(62.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [56] 68.5% parse-loop12 [53] 23.2% f16 [46] 5.4% ??? [54] 1.0% ??? [15] 1.0% ??? [62] 0.9% ----------------------------------------------------------------------- debug-print [47] 100.0% [51] 402(1.2%) 402(1.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- f16 [46] 100.0% [52] 400(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f16 [46] 50.0% free-variables [55] 50.0% ----------------------------------------------------------------------- append-map [57] 1.6% hash-ref! [42] 8.7% loop [56] 9.9% for-loop [11] 14.4% simplify [44] 16.4% map [50] 24.0% parse-loop12 [53] 25.0% [53] 12134(35.1%) 7806(22.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [53] 25.0% loop [56] 24.7% for-loop [58] 14.4% map [50] 4.8% f16 [46] 3.6% append-map [57] 1.6% parse-app [59] 1.3% make-multiplication-node [61] 0.3% ----------------------------------------------------------------------- map [50] 100.0% [54] 222(0.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [60] 100.0% ----------------------------------------------------------------------- composed [52] 100.0% [55] 200(0.6%) 200(0.6%) free-variables ...ock/herbie/src/programs.rkt:89:0 ----------------------------------------------------------------------- post-process [21] 0.6% make-exacts* [25] 1.9% map [50] 5.5% parse-loop12 [53] 14.4% loop [56] 76.8% [56] 26218(75.8%) 630(1.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [56] 76.8% parse-loop12 [53] 13.6% f16 [46] 4.0% ??? [62] 4.0% hash-ref! [42] 0.7% completely-simplify-alt [64] 0.6% ??? [15] 0.1% ??? [70] 0.0% localize-error [28] 0.0% ----------------------------------------------------------------------- parse-loop12 [53] 0.3% f16 [46] 1.5% for-loop [24] 98.2% [57] 11066(32.0%) 200(0.6%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [63] 98.2% f16 [46] 1.3% parse-loop12 [53] 0.3% ----------------------------------------------------------------------- parse-loop12 [53] 100.0% [58] 4122(11.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [42] 100.0% ----------------------------------------------------------------------- parse-loop12 [53] 100.0% [59] 642(1.9%) 642(1.9%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- ??? [54] 100.0% [60] 222(0.6%) 222(0.6%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 ----------------------------------------------------------------------- parse-loop12 [53] 100.0% [61] 202(0.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [65]100.0% ----------------------------------------------------------------------- map [50] 1.1% for-loop [41] 1.1% loop [56] 97.8% [62] 18138(52.5%) 882(2.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [66] 78.0% real->bigfloat [68] 14.6% ??? [80] 2.5% ----------------------------------------------------------------------- for-loop [31] 16.1% append-map [57] 83.9% [63] 12956(37.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [67] 100.0% ----------------------------------------------------------------------- loop [56] 100.0% [64] 1202(3.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [69] 100.0% ----------------------------------------------------------------------- make-multiplication-node [61] 100.0% [65] 202(0.6%) 202(0.6%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- ??? [62] 100.0% [66] 14148(40.9%) 202(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [70] 95.4% ...higher-order.rkt:373:33 [73] 3.2% ----------------------------------------------------------------------- taylor-alt [63] 100.0% [67] 12956(37.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [71] 100.0% ----------------------------------------------------------------------- ??? [62] 100.0% [68] 2650(7.7%) 2650(7.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- simplify [17] 14.3% completely-simplify-alt [64] 85.7% [69] 1402(4.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [72] 100.0% ----------------------------------------------------------------------- loop [56] 3.0% ??? [66] 97.0% [70] 13916(40.2%) 8386(24.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfcbrt [74] 21.9% ??? [82] 12.9% bfexpt [76] 5.0% ----------------------------------------------------------------------- for-loop [67] 34.9% location-do [71] 65.1% [71] 12956(37.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [71] 65.1% approximate9 [2] 34.9% ----------------------------------------------------------------------- simplify [17] 22.4% simplify-expr [69] 77.6% [72] 1806(5.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [75] 100.0% ----------------------------------------------------------------------- ??? [66] 100.0% [73] 454(1.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [77] 51.5% ??? [80] 48.5% ----------------------------------------------------------------------- ??? [70] 100.0% [74] 3042(8.8%) 1648(4.8%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [78] 45.8% ----------------------------------------------------------------------- iterate-egraph!5 [72] 100.0% [75] 1806(5.2%) 200(0.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [79] 66.6% loop [81] 11.2% apply-match [84] 11.2% ----------------------------------------------------------------------- ??? [70] 100.0% [76] 696(2.0%) 456(1.3%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [78] 34.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [73] 100.0% [77] 234(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [80] 100.0% ----------------------------------------------------------------------- bfexpt [76] 14.7% bfcbrt [74] 85.3% [78] 1634(4.7%) 1634(4.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- for-loop [79] 50.0% one-iter [75] 50.0% [79] 1202(3.5%) 404(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [79] 50.0% match-e [83] 33.2% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [73] 24.1% ??? [77] 25.7% ??? [62] 50.2% [80] 912(2.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [82] 100.0% ----------------------------------------------------------------------- one-iter [75] 100.0% [81] 202(0.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [84] 100.0% ----------------------------------------------------------------------- ??? [80] 33.7% ??? [70] 66.3% [82] 2704(7.8%) 1320(3.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [85] 35.1% ??? [86] 16.1% ----------------------------------------------------------------------- for-loop [79] 100.0% [83] 798(2.3%) 798(2.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ----------------------------------------------------------------------- one-iter [75] 50.0% loop [81] 50.0% [84] 404(1.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [87] 100.0% ----------------------------------------------------------------------- ??? [82] 100.0% [85] 948(2.7%) 714(2.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [88] 24.7% ----------------------------------------------------------------------- ??? [82] 100.0% [86] 436(1.3%) 220(0.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [89] 49.5% ----------------------------------------------------------------------- substitute-e [87] 25.0% apply-match [84] 75.0% [87] 404(1.2%) 404(1.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [87] 25.0% ----------------------------------------------------------------------- ??? [85] 100.0% [88] 234(0.7%) 234(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- ??? [86] 100.0% [89] 216(0.6%) 216(0.6%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -----------------------------------------------------------------------