Profiling results ----------------- Total cpu time observed: 29354ms (out of 29920ms) Number of samples taken: 127 (once every 231ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 98 hidden) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [36] 100.0% [1] 28456(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ------------------------------------------------------------------ ??? [36] 100.0% [2] 7686(26.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 92.2% loop [41] 5.3% setup-prog [19] 2.5% ------------------------------------------------------------------ simplify-alt [24] 5.5% ??? [36] 94.5% [3] 3542(12.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [21] 57.8% simplify-expr [14] 35.9% for-loop [18] 6.3% ------------------------------------------------------------------ hash-ref! [67] 100.0% [4] 1856(6.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ------------------------------------------------------------------ hash-ref! [67] 100.0% [5] 1656(5.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ------------------------------------------------------------------ hash-ref! [67] 100.0% [6] 1030(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [67] 60.4% for-loop [16] 39.6% ------------------------------------------------------------------ hash-ref! [67] 100.0% [7] 608(2.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ------------------------------------------------------------------ hash-ref! [67] 100.0% [8] 400(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [17] 100.0% ------------------------------------------------------------------ loop [74] 100.0% [9] 216(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [67] 100.0% ------------------------------------------------------------------ profile-thunk14 [1] 99.2% [10] 28676(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 7086(24.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ------------------------------------------------------------------ ??? [4] 100.0% [12] 1856(6.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [67] 100.0% ------------------------------------------------------------------ ??? [5] 100.0% [13] 1656(5.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [22] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [14] 1272(4.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 100.0% ------------------------------------------------------------------ ??? [7] 100.0% [15] 608(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [23] 67.1% hash-ref! [67] 32.9% ------------------------------------------------------------------ ??? [6] 100.0% [16] 408(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [67] 100.0% ------------------------------------------------------------------ ??? [8] 100.0% [17] 400(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [71] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [18] 222(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [19] 194(0.7%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [24] 100.0% ------------------------------------------------------------------ for-loop [11] 100.0% [20] 7086(24.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 47.2% gen-series! [27] 38.1% finalize-iter! [28] 11.6% localize-error [30] 3.0% ------------------------------------------------------------------ for-loop [18] 6.3% simplify-expr [14] 35.9% simplify [3] 57.8% [21] 3542(12.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 88.3% map-enodes [29] 11.7% ------------------------------------------------------------------ for-loop [13] 100.0% [22] 1656(5.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [67] 100.0% ------------------------------------------------------------------ for-loop [15] 100.0% [23] 408(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [67] 100.0% ------------------------------------------------------------------ setup-prog [19] 100.0% [24] 194(0.7%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [25] 3348(11.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [21] 100.0% [26] 3128(10.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 58.6% loop [34] 34.6% apply-match [38] 6.8% ------------------------------------------------------------------ run-iter! [20] 100.0% [27] 2698(9.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [28] 824(2.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [21] 100.0% [29] 414(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [74] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [30] 216(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% ------------------------------------------------------------------ simplify! [25] 100.0% [31] 3348(11.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 100.0% ------------------------------------------------------------------ gen-series! [27] 100.0% [32] 2698(9.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ------------------------------------------------------------------ for-loop [33] 50.0% one-iter [26] 50.0% [33] 1832(6.2%) 618(2.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [43] 33.1% ------------------------------------------------------------------ one-iter [26] 100.0% [34] 1082(3.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ------------------------------------------------------------------ finalize-iter! [28] 100.0% [35] 824(2.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 75.5% atab-add-altns [40] 24.5% ------------------------------------------------------------------ for-loop [31] 4.0% run [10] 48.2% [36] 28892(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.4% loop [41] 37.1% run-improve58 [2] 11.5% simplify [3] 4.0% ------------------------------------------------------------------ for-loop [32] 100.0% [37] 2698(9.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ------------------------------------------------------------------ one-iter [26] 16.5% loop [34] 83.5% [38] 1296(4.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [45] 35.6% match-e [43] 33.5% for-loop [46] 15.4% loop! [50] 15.4% ------------------------------------------------------------------ ??? [35] 100.0% [39] 622(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ------------------------------------------------------------------ ??? [35] 100.0% [40] 202(0.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [44] 100.0% ------------------------------------------------------------------ run-improve58 [2] 1.9% ??? [36] 98.1% [41] 21612(73.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [47] 45.2% make-exacts* [55] 37.9% loop [56] 15.9% ------------------------------------------------------------------ taylor-alt [37] 100.0% [42] 2698(9.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ------------------------------------------------------------------ for-loop [60] 6.5% apply-match [38] 19.8% for-loop [33] 73.7% [43] 1648(5.6%) 818(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 24.0% loop [74] 13.3% for-loop [60] 6.5% list-cartesian-product [54] 6.5% ------------------------------------------------------------------ atab-add-altns [40] 24.5% for-loop [39] 75.5% [44] 824(2.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49]100.0% ------------------------------------------------------------------ apply-match [38] 100.0% [45] 462(1.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [52] 51.9% for-loop [53] 48.1% ------------------------------------------------------------------ apply-match [38] 100.0% [46] 200(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [50] 100.0% ------------------------------------------------------------------ loop [41] 100.0% [47] 9760(33.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 62.0% make-exacts* [55] 38.0% ------------------------------------------------------------------ location-do [48] 38.9% for-loop [42] 61.1% [48] 2698(9.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [57] 61.1% location-do [48] 38.9% ------------------------------------------------------------------ atab-add-altn [44] 100.0% [49] 824(2.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [58] 75.5% for-loop [62] 24.5% ------------------------------------------------------------------ loop [74] 25.0% for-loop [46] 25.0% apply-match [38] 50.0% [50] 400(1.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [61] 75.0% loop [74] 25.0% ------------------------------------------------------------------ match-e [43] 100.0% [51] 396(1.3%) 194(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [60] 51.0% ------------------------------------------------------------------ merge-egraph-nodes! [45] 100.0% [52] 240(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [59] 100.0% ------------------------------------------------------------------ merge-egraph-nodes! [45] 100.0% [53] 222(0.8%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 update-en-expr [59] 100.0% ------------------------------------------------------------------ list-cartesian-product [54] 50.0% match-e [43] 50.0% [54] 214(0.7%) 214(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 50.0% ------------------------------------------------------------------ loop [47] 31.2% loop [41] 68.8% [55] 11898(40.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [63] 60.6% loop [74] 39.4% ------------------------------------------------------------------ loop [41] 36.3% loop [47] 63.7% [56] 9494(32.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [63] 100.0% ------------------------------------------------------------------ location-do [48] 100.0% [57] 2698(9.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 92.6% f37 [79] 7.4% ------------------------------------------------------------------ best-and-tied-at-points [49]100.0% [58] 622(2.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [65] 100.0% ------------------------------------------------------------------ for-loop [53] 48.1% for-loop [52] 51.9% [59] 462(1.6%) 462(1.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------ for-loop [51] 48.6% match-e [43] 51.4% [60] 416(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 51.4% ??? [66] 48.6% ------------------------------------------------------------------ loop! [50] 100.0% [61] 400(1.4%) 400(1.4%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------ best-and-tied-at-points [49]100.0% [62] 202(0.7%) 202(0.7%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------ parse-loop12 [71] 2.4% f37 [79] 3.5% make-exacts* [55] 40.6% loop [56] 53.5% [63] 17752(60.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 95.3% parse-loop12 [71] 4.7% ------------------------------------------------------------------ approximate9 [57] 100.0% [64] 2498(8.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ------------------------------------------------------------------ errors [58] 100.0% [65] 622(2.1%) 200(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [78] 67.8% ------------------------------------------------------------------ for-loop [60] 100.0% [66] 202(0.7%) 202(0.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------ for-loop [15] 0.9% ??? [23] 2.2% for-loop [16] 2.2% for-loop [77] 2.3% loop [85] 3.4% ??? [9] 3.7% localize-error [30] 3.7% ??? [6] 4.5% for-loop [22] 11.4% for-loop [12] 17.6% ??? [68] 23.5% loop [64] 23.5% [67] 2914(9.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [69] 24.8% ??? [68] 23.5% ??? [4] 17.6% ??? [5] 11.4% parse-loop12 [71] 7.4% ??? [6] 6.7% ??? [8] 3.4% ??? [7] 3.0% ??? [70] 1.0% ------------------------------------------------------------------ hash-ref! [67] 100.0% [68] 2498(8.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ------------------------------------------------------------------ hash-ref! [67] 100.0% [69] 2296(7.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [71] 72.7% f37 [79] 18.3% debug-print [72] 9.0% ------------------------------------------------------------------ hash-ref! [67] 100.0% [70] 202(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:408:23 for-loop [73] 100.0% ------------------------------------------------------------------ loop [74] 6.4% hash-ref! [67] 8.6% for-loop [17] 12.0% map [63] 16.9% parse-loop12 [71] 26.5% simplify [69] 29.6% [71] 2506(8.5%) 1870(6.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [71] 26.5% loop [74] 21.8% f37 [79] 6.7% for-loop [77] 4.0% map [63] 3.5% ------------------------------------------------------------------ simplify [69] 100.0% [72] 206(0.7%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [75] 100.0% ------------------------------------------------------------------ ??? [70] 100.0% [73] 202(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:411:30 for-loop [76] 100.0% ------------------------------------------------------------------ loop! [50] 0.1% map-enodes [29] 0.3% make-exacts* [55] 0.9% match-e [43] 0.9% parse-loop12 [71] 1.5% map [63] 4.4% loop [74] 91.8% [74] 23528(80.2%) 220(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 91.8% ??? [78] 4.5% parse-loop12 [71] 1.8% for-loop [80] 0.3% f37 [79] 0.3% ??? [9] 0.1% ??? [86] 0.1% loop! [50] 0.1% ------------------------------------------------------------------ debug-print [72] 100.0% [75] 206(0.7%) 206(0.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------ for-loop [73] 100.0% [76] 202(0.7%) 202(0.7%) for-loop ...lock/herbie/src/core/taylor.rkt:414:42 ------------------------------------------------------------------ parse-loop12 [71] 100.0% [77] 200(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [67] 100.0% ------------------------------------------------------------------ for-loop [65] 1.9% loop [74] 98.1% [78] 22034(75.1%) 704(2.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 89.7% real->bigfloat [93] 6.1% ??? [83] 1.0% ------------------------------------------------------------------ approximate9 [57] 16.1% loop [74] 17.7% parse-loop12 [71] 32.3% simplify [69] 33.9% [79] 620(2.1%) 220(0.7%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [63] 50.0% parse-app [84] 16.1% loop [85] 16.1% ------------------------------------------------------------------ loop [74] 100.0% [80] 414(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [82] 100.0% ------------------------------------------------------------------ ??? [78] 100.0% [81] 19760(67.3%) 458(1.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 96.7% ------------------------------------------------------------------ for-loop [80] 100.0% [82] 414(1.4%) 216(0.7%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [87] 47.8% ------------------------------------------------------------------ ??? [78] 100.0% [83] 220(0.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ------------------------------------------------------------------ f37 [79] 100.0% [84] 200(0.7%) 200(0.7%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------ f37 [79] 100.0% [85] 200(0.7%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [67] 100.0% ------------------------------------------------------------------ loop [74] 1.1% ??? [81] 98.9% [86] 19316(65.8%) 8780(29.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bflog [88] 32.9% ??? [89] 14.3% bfexpt [90] 7.3% ------------------------------------------------------------------ eval-const-expr [82] 100.0% [87] 198(0.7%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [91] 100.0% ------------------------------------------------------------------ ??? [86] 100.0% [88] 6362(21.7%) 4578(15.6%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 28.0% ------------------------------------------------------------------ ??? [83] 7.4% ??? [86] 92.6% [89] 2982(10.2%) 1108(3.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 62.8% ------------------------------------------------------------------ ??? [86] 100.0% [90] 1412(4.8%) 952(3.2%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 32.6% ------------------------------------------------------------------ inductor [91] 50.0% expression-induct31 [87] 50.0% [91] 198(0.7%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [91] 50.0% real->bigfloat [93] 50.0% ------------------------------------------------------------------ ??? [89] 100.0% [92] 1874(6.4%) 1394(4.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 25.6% ------------------------------------------------------------------ inductor [91] 12.8% ??? [78] 87.2% [93] 1548(5.3%) 1128(3.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 27.1% ------------------------------------------------------------------ real->bigfloat [93] 15.8% bfexpt [90] 17.3% bflog [88] 67.0% [94] 2664(9.1%) 2664(9.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ ??? [92] 100.0% [95] 480(1.6%) 480(1.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------