Profiling results ----------------- Total cpu time observed: 15084ms (out of 15492ms) Number of samples taken: 59 (once every 256ms) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [37] 100.0% [1] 14618(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------- ??? [37] 100.0% [2] 3904(25.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [9] 48.2% for-loop [10] 46.7% get-final-combination [16] 5.1% ------------------------------------------------------------------- ??? [37] 100.0% [3] 1210(8.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 66.4% for-loop [15] 33.6% ------------------------------------------------------------------- hash-ref! [76] 100.0% [4] 440(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ------------------------------------------------------------------- hash-ref! [76] 100.0% [5] 440(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ------------------------------------------------------------------- loop [67] 100.0% [6] 400(2.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ------------------------------------------------------------------- f6 [62] 100.0% [7] 200(1.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [12] 100.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 14618(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1882(12.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [17] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1822(12.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ------------------------------------------------------------------- completely-simplify-alt [6] 33.2% simplify [3] 66.8% [11] 1204(8.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ------------------------------------------------------------------- taylor-invert [7] 23.8% hash-ref! [76] 76.2% [12] 842(5.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [20] 52.3% debug7 [21] 47.7% ------------------------------------------------------------------- ??? [5] 100.0% [13] 440(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [76] 100.0% ------------------------------------------------------------------- ??? [4] 100.0% [14] 440(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [76] 100.0% ------------------------------------------------------------------- simplify [3] 100.0% [15] 406(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 200(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% ------------------------------------------------------------------- finalize-table! [9] 100.0% [17] 1882(12.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [25] 57.4% loop [67] 21.3% localize-error [26] 10.7% ??? [33] 10.6% ------------------------------------------------------------------- for-loop [10] 100.0% [18] 1822(12.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 66.4% localize-error [26] 11.4% finalize-iter! [27] 11.1% gen-series! [28] 11.1% ------------------------------------------------------------------- for-loop [15] 25.2% simplify-expr [11] 74.8% [19] 1610(10.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 100.0% ------------------------------------------------------------------- hash-ref! [76] 48.2% simplify [12] 51.8% [20] 850(5.6%) 440(2.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 48.2% ------------------------------------------------------------------- simplify [12] 100.0% [21] 402(2.7%) 200(1.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [33] 50.2% ------------------------------------------------------------------- get-final-combination [16] 100.0% [22] 200(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [29] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [23] 1610(10.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 62.6% loop [34] 37.4% ------------------------------------------------------------------- run-iter! [18] 100.0% [24] 1210(8.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% ------------------------------------------------------------------- post-process [17] 100.0% [25] 1080(7.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% ------------------------------------------------------------------- post-process [17] 49.3% run-iter! [18] 50.7% [26] 410(2.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [76] 100.0% ------------------------------------------------------------------- run-iter! [18] 100.0% [27] 202(1.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% ------------------------------------------------------------------- run-iter! [18] 100.0% [28] 202(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% ------------------------------------------------------------------- extract-alt [22] 100.0% [29] 200(1.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [36] 100.0% ------------------------------------------------------------------- simplify! [24] 100.0% [30] 1210(8.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ------------------------------------------------------------------- for-loop [25] 100.0% [31] 1080(7.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 100.0% ------------------------------------------------------------------- for-loop [32] 50.0% one-iter [23] 50.0% [32] 1008(6.7%) 400(2.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [39] 30.2% ------------------------------------------------------------------- post-process [17] 33.1% debug7 [21] 33.4% finalize-iter! [27] 33.4% [33] 604(4.0%) 202(1.3%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [41] 66.6% ------------------------------------------------------------------- one-iter [23] 100.0% [34] 602(4.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ------------------------------------------------------------------- gen-series! [28] 100.0% [35] 202(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ------------------------------------------------------------------- loop [29] 100.0% [36] 200(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [57] 100.0% ------------------------------------------------------------------- for-loop [30] 2.9% run [8] 47.3% [37] 15084(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.3% loop [42] 37.9% run-improve58 [2] 11.8% simplify [3] 2.9% ------------------------------------------------------------------- for-loop [35] 15.8% append-map [31] 84.2% [38] 1282(8.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ------------------------------------------------------------------- for-loop [32] 100.0% [39] 608(4.0%) 406(2.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 list-cartesian-product [46] 33.2% ------------------------------------------------------------------- loop [34] 100.0% [40] 602(4.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [45] 66.8% substitute-e [47] 33.2% ------------------------------------------------------------------- ??? [33] 100.0% [41] 402(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ------------------------------------------------------------------- ??? [37] 100.0% [42] 11180(74.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 53.0% make-exacts* [54] 33.9% loop [55] 13.1% ------------------------------------------------------------------- taylor-alt [38] 100.0% [43] 1282(8.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ------------------------------------------------------------------- for-loop [41] 100.0% [44] 402(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51]100.0% ------------------------------------------------------------------- for-loop [53] 24.9% apply-match [40] 75.1% [45] 402(2.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 75.1% for-loop [53] 24.9% ------------------------------------------------------------------- list-cartesian-product [46] 50.0% match-e [39] 50.0% [46] 202(1.3%) 202(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [46] 50.0% ------------------------------------------------------------------- apply-match [40] 100.0% [47] 200(1.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [52] 100.0% ------------------------------------------------------------------- loop [42] 100.0% [48] 5926(39.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [54] 56.3% loop [55] 43.7% ------------------------------------------------------------------- location-do [49] 22.9% for-loop [43] 77.1% [49] 1282(8.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 77.1% location-do [49] 22.9% ------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [50] 402(2.7%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [59] 50.2% custom-set-union! [60] 49.8% ------------------------------------------------------------------- atab-add-altn [44] 100.0% [51] 402(2.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [58] 50.2% errors [57] 49.8% ------------------------------------------------------------------- substitute-e [47] 100.0% [52] 200(1.3%) 200(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [53] 200(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [45] 100.0% ------------------------------------------------------------------- loop [48] 46.8% loop [42] 53.2% [54] 7128(47.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 68.3% loop [67] 31.7% ------------------------------------------------------------------- loop [42] 36.0% loop [48] 64.0% [55] 4052(26.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ------------------------------------------------------------------- location-do [49] 100.0% [56] 1282(8.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 84.4% f6 [62] 15.6% ------------------------------------------------------------------- best-and-tied-at-points [51] 50.0% composed [36] 50.0% [57] 400(2.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 100.0% ------------------------------------------------------------------- best-and-tied-at-points [51]100.0% [58] 202(1.3%) 202(1.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------- update-leader! [50] 100.0% [59] 202(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% ------------------------------------------------------------------- update-leader! [50] 100.0% [60] 200(1.3%) 200(1.3%) custom-set-union! ...t/private/set-types.rkt:246:0 ------------------------------------------------------------------- approximate9 [56] 100.0% [61] 1082(7.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [76] 100.0% ------------------------------------------------------------------- approximate9 [56] 6.6% f6 [62] 26.2% hash-ref! [76] 67.2% [62] 610(4.0%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [65] 67.2% f6 [62] 26.2% taylor-invert [7] 6.6% ------------------------------------------------------------------- errors [57] 100.0% [63] 400(2.7%) 200(1.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [70] 50.0% ------------------------------------------------------------------- for-loop [59] 100.0% [64] 202(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% ------------------------------------------------------------------- f6 [62] 4.4% loop [55] 43.4% make-exacts* [54] 52.2% [65] 9330(61.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 90.1% ??? [70] 5.5% loop [68] 2.2% ??? [71] 2.2% ------------------------------------------------------------------- for-loop [64] 100.0% [66] 202(1.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ------------------------------------------------------------------- make-exacts* [54] 0.0% post-process [17] 0.6% parse-loop12 [20] 1.9% map [65] 2.6% loop [67] 94.8% [67] 11474(76.1%) 248(1.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 94.8% ??? [70] 2.6% ??? [71] 1.8% completely-simplify-alt [6] 0.6% ??? [79] 0.1% ->flonum [78] 0.0% ------------------------------------------------------------------- map [65] 14.3% loop [68] 85.7% [68] 208(1.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [68] 85.7% ??? [72] 14.3% ------------------------------------------------------------------- hash-update! [66] 100.0% [69] 202(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [73] 100.0% ------------------------------------------------------------------- for-loop [63] 1.8% map [65] 4.7% loop [67] 93.5% [70] 10940(72.5%) 932(6.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [74] 46.2% real->bigfloat [75] 40.8% ??? [77] 4.4% ------------------------------------------------------------------- map [65] 49.3% loop [67] 50.7% [71] 410(2.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [76] 100.0% ------------------------------------------------------------------- loop [68] 100.0% [72] 208(1.4%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [78] 100.0% ------------------------------------------------------------------- ??? [69] 100.0% [73] 202(1.3%) 202(1.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------- ??? [70] 100.0% [74] 5056(33.5%) 266(1.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [79] 94.7% ------------------------------------------------------------------- ??? [70] 100.0% [75] 4466(29.6%) 2616(17.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [85] 41.4% ------------------------------------------------------------------- for-loop [14] 5.9% for-loop [13] 5.9% ??? [81] 5.9% ??? [80] 12.7% ??? [71] 13.7% localize-error [26] 13.7% loop [61] 42.2% [76] 1492(9.9%) 440(2.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [20] 13.7% f6 [62] 13.7% ??? [80] 12.7% simplify [12] 12.7% ??? [81] 5.9% ??? [5] 5.9% ??? [4] 5.9% ------------------------------------------------------------------- ??? [70] 100.0% [77] 486(3.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [83] 100.0% ------------------------------------------------------------------- loop [67] 48.0% ??? [72] 52.0% [78] 400(2.7%) 208(1.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [83] 48.0% ------------------------------------------------------------------- loop [67] 4.0% ??? [74] 96.0% [79] 4992(33.1%) 1172(7.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [82] 37.6% bfadd [84] 25.4% ??? [83] 13.5% ------------------------------------------------------------------- hash-ref! [76] 100.0% [80] 642(4.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [76] 100.0% ------------------------------------------------------------------- hash-ref! [76] 100.0% [81] 440(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [76] 100.0% ------------------------------------------------------------------- ??? [79] 100.0% [82] 1878(12.5%) 1664(11.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [85] 11.4% ------------------------------------------------------------------- ->flonum [78] 14.2% ??? [77] 35.9% ??? [79] 49.9% [83] 1354(9.0%) 416(2.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [86] 69.3% ------------------------------------------------------------------- ??? [79] 100.0% [84] 1266(8.4%) 816(5.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [85] 35.5% ------------------------------------------------------------------- bfsqrt [82] 8.5% bfadd [84] 17.9% real->bigfloat [75] 73.6% [85] 2514(16.7%) 2514(16.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- ??? [83] 100.0% [86] 938(6.2%) 192(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [87] 79.5% ------------------------------------------------------------------- ??? [86] 100.0% [87] 746(4.9%) 746(4.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------