Profiling results ----------------- Total cpu time observed: 16002ms (out of 16236ms) Number of samples taken: 69 (once every 232ms) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [27] 100.0% [1] 15366(96.0%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ------------------------------------------------------------------ ??? [27] 100.0% [2] 13164(82.3%) 0(0.0%) run-improve50 ...ock/herbie/src/mainloop.rkt:237:0 for-loop [5] 82.7% get-final-combination [8] 17.3% ------------------------------------------------------------------ ??? [27] 100.0% [3] 9824(61.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 59.4% for-loop [7] 32.6% iterate-egraph!5 [10] 8.1% ------------------------------------------------------------------ profile-thunk16 [1] 100.0% [4] 15366(96.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [27] 100.0% ------------------------------------------------------------------ run-improve50 [2] 100.0% [5] 10884(68.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:248:8 run-iter! [9] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [6] 5832(36.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [10] 96.4% loop [12] 3.6% ------------------------------------------------------------------ simplify [3] 100.0% [7] 3200(20.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [10] 100.0% ------------------------------------------------------------------ run-improve50 [2] 100.0% [8] 2280(14.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:264:0 split-table [11] 100.0% ------------------------------------------------------------------ for-loop [5] 100.0% [9] 10884(68.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:218:0 simplify! [13] 90.3% finalize-iter! [15] 6.1% choose-best-alt! [18] 1.8% gen-series! [19] 1.8% ------------------------------------------------------------------ simplify [3] 8.2% for-loop [7] 33.3% simplify-expr [6] 58.5% [10] 9616(60.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [14] 97.9% map-enodes [17] 2.1% ------------------------------------------------------------------ get-final-combination [8] 100.0% [11] 2280(14.2%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:170:0 f37 [78] 100.0% ------------------------------------------------------------------ simplify-expr [6] 100.0% [12] 208(1.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [16] 100.0% ------------------------------------------------------------------ run-iter! [9] 100.0% [13] 9824(61.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:157:0 for-loop [20] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [10] 100.0% [14] 9416(58.8%) 422(2.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [21] 57.6% loop [22] 31.0% apply-match [28] 4.6% loop [24] 2.3% ------------------------------------------------------------------ run-iter! [9] 100.0% [15] 660(4.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:172:0 ??? [23] 100.0% ------------------------------------------------------------------ loop [12] 100.0% [16] 208(1.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [25] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [10] 100.0% [17] 200(1.2%) 200(1.2%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 ------------------------------------------------------------------ run-iter! [9] 100.0% [18] 200(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:115:0 ??? [23] 100.0% ------------------------------------------------------------------ run-iter! [9] 100.0% [19] 200(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:129:0 for-loop [26] 100.0% ------------------------------------------------------------------ simplify! [13] 100.0% [20] 9824(61.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:161:6 ??? [27] 100.0% ------------------------------------------------------------------ for-loop [21] 50.0% one-iter [14] 50.0% [21] 5428(33.9%) 1748(10.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 50.0% match-e [33] 33.9% ------------------------------------------------------------------ one-iter [14] 100.0% [22] 2918(18.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [28] 100.0% ------------------------------------------------------------------ choose-best-alt! [18] 23.3% finalize-iter! [15] 76.7% [23] 860(5.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 76.7% ??? [31] 23.3% ------------------------------------------------------------------ one-iter [14] 100.0% [24] 218(1.4%) 218(1.4%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------ pass [16] 100.0% [25] 208(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [30] 100.0% ------------------------------------------------------------------ gen-series! [19] 100.0% [26] 200(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:135:7 taylor-alt [32] 100.0% ------------------------------------------------------------------ for-loop [20] 21.2% run [4] 38.7% [27] 15780(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 38.7% run-improve50 [2] 31.8% simplify [3] 21.2% loop [34] 8.3% ------------------------------------------------------------------ one-iter [14] 12.8% loop [22] 87.2% [28] 3348(20.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 update-leader! [48] 55.4% merge-egraph-nodes! [43] 18.6% match-e [33] 12.8% for-loop [36] 7.2% substitute-e [38] 6.0% ------------------------------------------------------------------ ??? [23] 100.0% [29] 660(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% ------------------------------------------------------------------ for-loop [25] 100.0% [30] 208(1.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [37] 100.0% ------------------------------------------------------------------ ??? [23] 100.0% [31] 200(1.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/alt-table.rkt:54:0 ??? [39] 100.0% ------------------------------------------------------------------ for-loop [26] 100.0% [32] 200(1.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:141:0 for-loop [40] 100.0% ------------------------------------------------------------------ apply-match [28] 5.2% for-loop [49] 12.9% for-loop [21] 81.9% [33] 4108(25.7%) 2874(18.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 25.1% for-loop [49] 15.5% ------------------------------------------------------------------ ??? [27] 100.0% [34] 2616(16.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:159:2 make-exacts* [50] 53.4% loop [42] 46.6% ------------------------------------------------------------------ for-loop [29] 100.0% [35] 660(4.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44]100.0% ------------------------------------------------------------------ apply-match [28] 100.0% [36] 242(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [43] 100.0% ------------------------------------------------------------------ argmin [30] 100.0% [37] 208(1.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:301:0 compile [45] 100.0% ------------------------------------------------------------------ substitute-e [38] 50.0% apply-match [28] 50.0% [38] 200(1.2%) 200(1.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [38] 50.0% ------------------------------------------------------------------ ??? [31] 100.0% [39] 200(1.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:342:33 best-alt [46] 100.0% ------------------------------------------------------------------ taylor-alt [32] 100.0% [40] 200(1.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:143:2 location-do [47] 100.0% ------------------------------------------------------------------ match-e [33] 100.0% [41] 1248(7.8%) 198(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 60.4% list-cartesian-product [52] 23.7% ------------------------------------------------------------------ loop [34] 100.0% [42] 1218(7.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:119:2 loop [51] 79.0% make-exacts* [50] 21.0% ------------------------------------------------------------------ merge-egraph-nodes! [43] 9.3% for-loop [53] 9.3% for-loop [36] 9.3% apply-match [28] 72.1% [43] 866(5.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [48] 81.4% for-loop [53] 9.3% merge-egraph-nodes! [43] 9.3% ------------------------------------------------------------------ atab-add-altn [35] 100.0% [44] 660(4.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% ------------------------------------------------------------------ expression-cost [37] 100.0% [45] 208(1.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:278:0 hash-ref! [54] 100.0% ------------------------------------------------------------------ ??? [39] 100.0% [46] 200(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:78:0 loop [55] 100.0% ------------------------------------------------------------------ location-do [47] 50.0% for-loop [40] 50.0% [47] 200(1.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:218:0 location-do [47] 50.0% approximate9 [56] 50.0% ------------------------------------------------------------------ merge-egraph-nodes! [43] 31.8% apply-match [28] 68.2% [48] 2720(17.0%) 202(1.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 92.6% ------------------------------------------------------------------ match-e [33] 49.9% for-loop [41] 50.1% [49] 1700(10.6%) 438(2.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 62.2% ??? [60] 12.0% ------------------------------------------------------------------ loop [42] 15.5% loop [34] 84.5% [50] 1654(10.3%) 0(0.0%) make-exacts* ...atlock/herbie/src/points.rkt:106:0 map [58] 71.6% loop [62] 28.4% ------------------------------------------------------------------ loop [42] 100.0% [51] 962(6.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:109:4 map [58] 100.0% ------------------------------------------------------------------ list-cartesian-product [52] 25.1% for-loop [41] 74.9% [52] 394(2.5%) 394(2.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [52] 25.1% ------------------------------------------------------------------ merge-egraph-nodes! [43] 100.0% [53] 242(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [43] 100.0% ------------------------------------------------------------------ ??? [59] 50.0% compile [45] 50.0% [54] 208(1.3%) 208(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [59] 50.0% ------------------------------------------------------------------ best-alt [46] 100.0% [55] 200(1.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:110:2 composed [61] 100.0% ------------------------------------------------------------------ location-do [47] 100.0% [56] 200(1.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:12:0 f37 [78] 100.0% ------------------------------------------------------------------ update-leader! [48] 100.0% [57] 2518(15.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% ------------------------------------------------------------------ f37 [78] 8.5% loop [51] 41.0% make-exacts* [50] 50.5% [58] 2346(14.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [62] 91.5% taylor-invert [66] 8.5% ------------------------------------------------------------------ hash-ref! [54] 100.0% [59] 208(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:286:5 hash-ref! [54] 100.0% ------------------------------------------------------------------ for-loop [49] 100.0% [60] 204(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [65] 100.0% ------------------------------------------------------------------ loop [55] 100.0% [61] 200(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [64] 100.0% ------------------------------------------------------------------ make-exacts* [50] 0.0% map [58] 4.9% loop [62] 95.1% [62] 2616(16.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [62] 95.1% ??? [67] 4.9% ------------------------------------------------------------------ for-loop [57] 100.0% [63] 2518(15.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ------------------------------------------------------------------ composed [61] 23.3% best-and-tied-at-points [44] 76.7% [64] 860(5.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:184:0 for-loop [69] 100.0% ------------------------------------------------------------------ ??? [60] 100.0% [65] 204(1.3%) 204(1.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------ map [58] 100.0% [66] 200(1.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:310:0 first-nonzero-exp [70] 100.0% ------------------------------------------------------------------ loop [62] 100.0% [67] 2616(16.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:257:4 ??? [72] 73.2% ??? [73] 26.8% ------------------------------------------------------------------ for-loop [63] 100.0% [68] 2518(15.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [71] 100.0% ------------------------------------------------------------------ errors [64] 100.0% [69] 860(5.4%) 224(1.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:187:4 ulp-difference [74] 48.6% ->flonum [75] 25.3% ------------------------------------------------------------------ taylor-invert [66] 100.0% [70] 200(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:258:0 simplify [76] 100.0% ------------------------------------------------------------------ hash-update! [68] 100.0% [71] 2518(15.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [77] 100.0% ------------------------------------------------------------------ ??? [67] 100.0% [72] 1914(12.0%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [79] 100.0% ------------------------------------------------------------------ ??? [67] 100.0% [73] 702(4.4%) 0(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [80] 100.0% ------------------------------------------------------------------ for-loop [69] 100.0% [74] 418(2.6%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [81] 100.0% ------------------------------------------------------------------ for-loop [69] 100.0% [75] 218(1.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:230:0 ??? [81] 100.0% ------------------------------------------------------------------ first-nonzero-exp [70] 100.0% [76] 200(1.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:15:0 f37 [78] 100.0% ------------------------------------------------------------------ ??? [71] 100.0% [77] 2518(15.7%) 2300(14.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [85] 8.7% ------------------------------------------------------------------ simplify [76] 2.7% f37 [78] 2.7% approximate9 [56] 2.7% split-table [11] 91.9% [78] 2480(15.5%) 200(1.2%) f37 ...t/collects/racket/match/compiler.rkt:507:40 option-on-expr [83] 76.9% debug-print [84] 15.0% f37 [78] 2.7% map [58] 2.7% ------------------------------------------------------------------ ??? [72] 100.0% [79] 1914(12.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfadd [82] 100.0% ------------------------------------------------------------------ ??? [73] 100.0% [80] 702(4.4%) 462(2.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [88] 34.2% ------------------------------------------------------------------ ->flonum [75] 34.3% ulp-difference [74] 65.7% [81] 636(4.0%) 418(2.6%) ??? /home/ztatlock/herbie/src/config.rkt:48:0 ??? [86] 34.3% ------------------------------------------------------------------ ??? [79] 100.0% [82] 1914(12.0%) 1454(9.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [88] 24.0% ------------------------------------------------------------------ f37 [78] 100.0% [83] 1908(11.9%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:115:0 sort-context-on-expr [87] 100.0% ------------------------------------------------------------------ f37 [78] 100.0% [84] 372(2.3%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [89] 100.0% ------------------------------------------------------------------ for-loop [77] 100.0% [85] 218(1.4%) 218(1.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------ ??? [81] 100.0% [86] 218(1.4%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [90] 100.0% ------------------------------------------------------------------ option-on-expr [83] 100.0% [87] 1908(11.9%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:79:0 ??? [91] 100.0% ------------------------------------------------------------------ real->bigfloat [80] 34.3% bfadd [82] 65.7% [88] 700(4.4%) 700(4.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ debug-print [84] 100.0% [89] 372(2.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 write-proc [92] 100.0% ------------------------------------------------------------------ ??? [86] 100.0% [90] 218(1.4%) 218(1.4%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------ sort-context-on-expr [87] 100.0% [91] 1908(11.9%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [93] 67.8% loop [95] 32.2% ------------------------------------------------------------------ for-loop [89] 100.0% [92] 372(2.3%) 372(2.3%) write-proc ...lock/herbie/src/alternative.rkt:22:9 ------------------------------------------------------------------ ??? [91] 100.0% [93] 1294(8.1%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [94] 84.7% loop [95] 15.3% ------------------------------------------------------------------ generic-sort/key [93] 43.4% copying-mergesort [94] 56.6% [94] 1096(6.8%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [94] 56.6% loop [95] 33.9% jloop [96] 9.5% ------------------------------------------------------------------ generic-sort/key [93] 13.3% ??? [91] 41.2% copying-mergesort [94] 45.6% [95] 1492(9.3%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ??? [97] 100.0% ------------------------------------------------------------------ copying-mergesort [94] 100.0% [96] 416(2.6%) 0(0.0%) jloop ...t/collects/racket/private/sort.rkt:121:23 ??? [97] 100.0% ------------------------------------------------------------------ jloop [96] 21.8% loop [95] 78.2% [97] 1908(11.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:81:27 eval-prog [98] 100.0% ------------------------------------------------------------------ ??? [97] 100.0% [98] 1908(11.9%) 1668(10.4%) eval-prog ...tatlock/herbie/src/programs.rkt:251:0 go [99] 12.6% ------------------------------------------------------------------ eval-prog [98] 100.0% [99] 240(1.5%) 240(1.5%) go .../collects/racket/private/qq-and-or.rkt:50:20 ------------------------------------------------------------------