Profiling results ----------------- Total cpu time observed: 58242ms (out of 58948ms) Number of samples taken: 245 (once every 238ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 99 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [37] 100.0% [1] 55848(95.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [2] 7488(12.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 79.8% loop [42] 12.0% get-final-combination [15] 5.4% setup-prog [16] 2.8% ---------------------------------------------------------------------- loop [65] 9.4% ??? [37] 90.6% [3] 4262(7.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [19] 43.7% simplify-expr [10] 23.5% for-loop [11] 23.4% loop [14] 9.4% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [4] 636(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [5] 636(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- f6 [91] 100.0% [6] 218(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [73] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [7] 198(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:408:23 for-loop [17] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 97.4% [8] 57334(98.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 5978(10.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 1000(1.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [11] 996(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [12] 636(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [73] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 636(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [73] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [14] 402(0.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [20] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 402(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 208(0.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 ??? [34] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [17] 198(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:411:30 for-loop [22] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [18] 5978(10.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 64.6% finalize-iter! [25] 17.4% gen-series! [26] 14.3% localize-error [27] 3.7% ---------------------------------------------------------------------- for-loop [11] 25.8% simplify-expr [10] 25.9% simplify [3] 48.3% [19] 3860(6.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 100.0% ---------------------------------------------------------------------- loop [14] 100.0% [20] 402(0.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [28] 50.2% hash-set*+ [29] 49.8% ---------------------------------------------------------------------- get-final-combination [15] 100.0% [21] 402(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [65] 100.0% ---------------------------------------------------------------------- for-loop [17] 100.0% [22] 198(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:414:42 ??? [30] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [23] 3860(6.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [24] 3860(6.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 63.3% loop [33] 36.7% ---------------------------------------------------------------------- run-iter! [18] 100.0% [25] 1040(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [26] 854(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [27] 224(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ---------------------------------------------------------------------- pass [20] 100.0% [28] 202(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [36] 100.0% ---------------------------------------------------------------------- pass [20] 100.0% [29] 200(0.3%) 200(0.3%) hash-set*+ ...k/herbie/src/core/simplify.rkt:175:0 ---------------------------------------------------------------------- for-loop [22] 100.0% [30] 198(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [73] 100.0% ---------------------------------------------------------------------- simplify! [23] 100.0% [31] 3860(6.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ---------------------------------------------------------------------- for-loop [32] 50.0% one-iter [24] 50.0% [32] 2444(4.2%) 400(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [43] 41.8% ---------------------------------------------------------------------- one-iter [24] 100.0% [33] 1416(2.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ---------------------------------------------------------------------- setup-prog [16] 16.7% finalize-iter! [25] 83.3% [34] 1248(2.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 83.3% make-alt-table [41] 16.7% ---------------------------------------------------------------------- gen-series! [26] 100.0% [35] 854(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [40] 100.0% ---------------------------------------------------------------------- for-loop [28] 100.0% [36] 202(0.3%) 202(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- for-loop [31] 2.2% run [8] 50.2% [37] 57334(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.6% loop [42] 44.4% run-improve58 [2] 5.8% simplify [3] 2.2% ---------------------------------------------------------------------- loop [33] 100.0% [38] 1416(2.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [46] 28.1% for-loop [47] 28.1% merge-egraph-nodes! [53] 15.5% loop! [68] 14.3% match-e [43] 14.0% ---------------------------------------------------------------------- ??? [34] 100.0% [39] 1040(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ---------------------------------------------------------------------- for-loop [35] 100.0% [40] 854(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [45] 100.0% ---------------------------------------------------------------------- ??? [34] 100.0% [41] 208(0.4%) 0(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 in-parallel [48] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [37] 98.2% [42] 50746(87.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [49] 47.8% make-exacts* [55] 36.4% loop [56] 15.8% ---------------------------------------------------------------------- apply-match [38] 4.4% for-loop [57] 14.8% for-loop [32] 80.7% [43] 2242(3.8%) 1644(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [52] 19.3% for-loop [57] 17.8% ---------------------------------------------------------------------- for-loop [39] 100.0% [44] 1040(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 80.8% loop [65] 19.2% ---------------------------------------------------------------------- taylor-alt [40] 100.0% [45] 854(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ---------------------------------------------------------------------- substitute-e [46] 24.9% apply-match [38] 75.1% [46] 398(0.7%) 198(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 50.3% substitute-e [46] 24.9% ---------------------------------------------------------------------- apply-match [38] 100.0% [47] 398(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [53] 50.3% loop! [68] 49.7% ---------------------------------------------------------------------- make-alt-table [41] 100.0% [48] 208(0.4%) 208(0.4%) in-parallel ...lects/racket/private/for.rkt:1140:2 ---------------------------------------------------------------------- loop [42] 100.0% [49] 24232(41.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 61.5% make-exacts* [55] 38.5% ---------------------------------------------------------------------- location-do [50] 50.0% for-loop [45] 50.0% [50] 854(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [50] 50.0% approximate9 [58] 50.0% ---------------------------------------------------------------------- atab-add-altn [44] 100.0% [51] 840(1.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [59] 100.0% ---------------------------------------------------------------------- match-e [43] 100.0% [52] 600(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 67.0% loop [65] 33.0% ---------------------------------------------------------------------- for-loop [47] 47.6% apply-match [38] 52.4% [53] 420(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [68] 52.4% update-leader! [60] 47.6% ---------------------------------------------------------------------- substitute-e [46] 100.0% [54] 200(0.3%) 200(0.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- loop [49] 33.5% loop [42] 66.5% [55] 27810(47.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 53.3% loop [65] 46.7% ---------------------------------------------------------------------- loop [42] 35.0% loop [49] 65.0% [56] 22936(39.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% ---------------------------------------------------------------------- for-loop [52] 40.3% match-e [43] 59.7% [57] 998(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 59.9% ??? [64] 40.1% ---------------------------------------------------------------------- location-do [50] 100.0% [58] 854(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [91] 51.1% loop [63] 48.9% ---------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [59] 840(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [60] 200(0.3%) 200(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ---------------------------------------------------------------------- f6 [91] 1.7% make-exacts* [55] 38.6% loop [56] 59.7% [61] 38430(66.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 94.7% ??? [67] 3.9% f6 [91] 1.1% ??? [69] 0.3% ---------------------------------------------------------------------- errors [59] 100.0% [62] 840(1.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 100.0% ---------------------------------------------------------------------- approximate9 [58] 100.0% [63] 418(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [64] 400(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [66] 100.0% ---------------------------------------------------------------------- ??? [67] 0.0% parse-loop12 [86] 0.0% atab-add-altn [44] 0.1% loop! [68] 0.3% for-loop [52] 0.4% extract-alt [21] 0.5% make-exacts* [55] 0.6% map [61] 3.2% loop [65] 94.9% [65] 51370(88.2%) 634(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 94.9% ??? [67] 3.7% simplify [3] 0.5% loop! [68] 0.3% loop [70] 0.1% ??? [69] 0.0% ??? [90] 0.0% ->flonum [74] 0.0% real->bigfloat [72] 0.0% ---------------------------------------------------------------------- ??? [64] 100.0% [66] 400(0.7%) 400(0.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- for-loop [62] 1.6% map [61] 2.9% loop [65] 95.5% [67] 51610(88.6%) 650(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 86.3% real->bigfloat [72] 7.7% loop [65] 4.3% ->flonum [74] 0.4% ---------------------------------------------------------------------- for-loop [47] 16.0% apply-match [38] 16.3% merge-egraph-nodes! [53] 17.7% loop [65] 50.0% [68] 620(1.1%) 198(0.3%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [65] 50.0% update-en-expr [75] 17.7% set [76] 16.3% ---------------------------------------------------------------------- map [61] 25.0% loop [65] 75.0% [69] 224(0.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [73] 100.0% ---------------------------------------------------------------------- loop [65] 1.4% loop [70] 98.6% [70] 200(0.3%) 200(0.3%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [70] 98.6% ---------------------------------------------------------------------- ??? [67] 100.0% [71] 44556(76.5%) 596(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [84] 81.3% bf* [77] 10.7% ...higher-order.rkt:373:33 [78] 6.1% ??? [79] 0.5% ---------------------------------------------------------------------- loop [65] 25.2% ??? [67] 74.8% [72] 5332(9.2%) 4014(6.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 24.7% ---------------------------------------------------------------------- ??? [83] 2.6% ??? [30] 2.6% localize-error [27] 5.2% ??? [82] 6.8% loop [63] 6.8% taylor-sqrt [6] 8.4% ??? [81] 13.6% for-loop [13] 15.3% for-loop [12] 17.8% ??? [69] 20.8% [73] 860(1.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 17.8% parse-loop12 [86] 15.6% ??? [5] 15.3% simplify [80] 15.3% ??? [81] 13.6% f6 [91] 10.4% ??? [82] 6.8% ??? [7] 2.6% ??? [83] 2.6% ---------------------------------------------------------------------- ??? [67] 31.5% loop [65] 68.5% [74] 642(1.1%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [79] 100.0% ---------------------------------------------------------------------- loop! [68] 100.0% [75] 220(0.4%) 220(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- loop! [68] 100.0% [76] 202(0.3%) 202(0.3%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [71] 100.0% [77] 4764(8.2%) 228(0.4%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [84] 95.2% ---------------------------------------------------------------------- ??? [71] 100.0% [78] 2740(4.7%) 694(1.2%) ...higher-order.rkt:373:33 (unknown source) ??? [85] 66.6% ??? [90] 8.1% ---------------------------------------------------------------------- ??? [71] 27.0% ->flonum [74] 73.0% [79] 880(1.5%) 880(1.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- hash-ref! [73] 100.0% [80] 636(1.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [87] 34.6% f6 [91] 34.3% parse-loop12 [86] 31.1% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [81] 418(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [73] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [82] 418(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [83] 198(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [73] 100.0% ---------------------------------------------------------------------- bf* [77] 11.1% ??? [71] 88.9% [84] 40754(70.0%) 24784(42.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [88] 21.1% bfcos [89] 11.7% ??? [94] 6.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [78]100.0% [85] 1824(3.1%) 702(1.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 61.5% ---------------------------------------------------------------------- simplify [80] 46.9% hash-ref! [73] 53.1% [86] 422(0.7%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [65] 53.1% f6 [91] 46.9% ---------------------------------------------------------------------- simplify [80] 100.0% [87] 220(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [92] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 8614(14.8%) 6630(11.4%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 23.0% ---------------------------------------------------------------------- ??? [84] 100.0% [89] 4758(8.2%) 3170(5.4%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 33.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [78] 12.3% loop [65] 25.5% ??? [85] 62.2% [90] 1804(3.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ---------------------------------------------------------------------- composed [95] 3.6% simplify [80] 3.6% approximate9 [58] 10.0% map [61] 13.6% f6 [91] 20.0% parse-loop12 [86] 23.1% hash-ref! [73] 26.1% [91] 858(1.5%) 634(1.1%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [61] 39.7% f6 [91] 20.0% taylor-sqrt [6] 3.6% composed [95] 3.6% ---------------------------------------------------------------------- debug-print [87] 100.0% [92] 220(0.4%) 220(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- real->bigfloat [72] 27.0% bfcos [89] 32.5% bfmul [88] 40.6% [93] 4890(8.4%) 4890(8.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [90] 41.0% ??? [84] 59.0% [94] 4402(7.6%) 1724(3.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 56.4% ??? [97] 4.4% ---------------------------------------------------------------------- f6 [91] 100.0% [95] 218(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [91] 100.0% ---------------------------------------------------------------------- ??? [94] 100.0% [96] 2484(4.3%) 1152(2.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 53.6% ---------------------------------------------------------------------- ??? [94] 100.0% [97] 194(0.3%) 194(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- ??? [96] 100.0% [98] 1332(2.3%) 1332(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------