Profiling results ----------------- Total cpu time observed: 26912ms (out of 27360ms) Number of samples taken: 117 (once every 230ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 99 hidden) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [32] 100.0% [1] 26052(96.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------ ??? [32] 100.0% [2] 8190(30.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 66.5% finalize-table! [11] 23.2% loop [36] 7.8% get-final-combination [16] 2.5% ------------------------------------------------------------------ loop [74] 4.4% ??? [32] 95.6% [3] 4604(17.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [17] 69.2% for-loop [12] 17.5% simplify-expr [81] 13.3% ------------------------------------------------------------------ hash-ref! [77] 100.0% [4] 632(2.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [74] 100.0% ------------------------------------------------------------------ location-do [47] 100.0% [5] 434(1.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [13] 100.0% ------------------------------------------------------------------ hash-ref! [77] 100.0% [6] 434(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ------------------------------------------------------------------ loop [74] 100.0% [7] 240(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [77] 100.0% ------------------------------------------------------------------ hash-ref! [77] 100.0% [8] 220(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ------------------------------------------------------------------ profile-thunk14 [1] 100.0% [9] 26052(96.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 5446(20.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 1900(7.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [19] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [12] 804(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------ approximate9 [5] 100.0% [13] 434(1.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [77] 100.0% ------------------------------------------------------------------ ??? [6] 100.0% [14] 434(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [77] 100.0% ------------------------------------------------------------------ ??? [8] 100.0% [15] 220(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [20] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [16] 202(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ------------------------------------------------------------------ for-loop [12] 13.8% simplify-expr [81] 31.7% simplify [3] 54.6% [17] 5844(21.7%) 202(0.8%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 96.5% ------------------------------------------------------------------ for-loop [10] 100.0% [18] 5446(20.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 80.8% finalize-iter! [24] 11.6% gen-series! [25] 7.6% ------------------------------------------------------------------ finalize-table! [11] 100.0% [19] 1900(7.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [74] 67.4% for-loop [26] 11.6% ??? [30] 10.5% completely-simplify-alt [78] 10.5% ------------------------------------------------------------------ for-loop [15] 100.0% [20] 220(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [77] 100.0% ------------------------------------------------------------------ get-final-combination [16] 100.0% [21] 202(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [74] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [17] 100.0% [22] 5642(21.0%) 202(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 63.1% loop [29] 29.8% apply-match [33] 3.6% ------------------------------------------------------------------ run-iter! [18] 100.0% [23] 4402(16.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ------------------------------------------------------------------ run-iter! [18] 100.0% [24] 630(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ------------------------------------------------------------------ run-iter! [18] 100.0% [25] 414(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ------------------------------------------------------------------ post-process [19] 100.0% [26] 220(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [72] 100.0% ------------------------------------------------------------------ simplify! [23] 100.0% [27] 4402(16.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ------------------------------------------------------------------ for-loop [28] 46.9% one-iter [22] 53.1% [28] 3558(13.2%) 1064(4.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 46.9% match-e [37] 35.0% ------------------------------------------------------------------ one-iter [22] 100.0% [29] 1680(6.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ------------------------------------------------------------------ post-process [19] 24.1% finalize-iter! [24] 75.9% [30] 830(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ------------------------------------------------------------------ gen-series! [25] 100.0% [31] 414(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ------------------------------------------------------------------ for-loop [27] 5.7% run [9] 46.6% [32] 26452(98.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.6% loop [36] 34.9% run-improve58 [2] 12.8% simplify [3] 5.7% ------------------------------------------------------------------ one-iter [22] 10.7% loop [29] 89.3% [33] 1882(7.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 44.5% match-e [37] 22.5% for-loop [41] 21.4% substitute-e [42] 11.6% ------------------------------------------------------------------ ??? [30] 100.0% [34] 830(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ------------------------------------------------------------------ loop [74] 34.7% for-loop [31] 65.3% [35] 634(2.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ------------------------------------------------------------------ run-improve58 [2] 3.4% ??? [32] 96.6% [36] 18904(70.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 43.4% make-exacts* [51] 36.8% loop [52] 19.8% ------------------------------------------------------------------ for-loop [53] 11.4% apply-match [33] 14.5% for-loop [28] 74.1% [37] 2918(10.8%) 1006(3.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 39.2% list-cartesian-product [56] 14.6% for-loop [53] 11.0% constant? [49] 4.1% ------------------------------------------------------------------ apply-match [33] 100.0% [38] 838(3.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 76.1% for-loop [50] 23.9% ------------------------------------------------------------------ for-loop [34] 100.0% [39] 830(3.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45]100.0% ------------------------------------------------------------------ taylor-alt [35] 100.0% [40] 634(2.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ------------------------------------------------------------------ apply-match [33] 100.0% [41] 402(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [48] 100.0% ------------------------------------------------------------------ substitute-e [42] 50.0% apply-match [33] 50.0% [42] 218(0.8%) 218(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [42] 50.0% ------------------------------------------------------------------ loop [36] 100.0% [43] 8212(30.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 56.5% make-exacts* [51] 38.2% eval-prog [60] 5.3% ------------------------------------------------------------------ match-e [37] 100.0% [44] 1246(4.6%) 420(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 41.3% list-cartesian-product [56] 16.2% loop [74] 8.8% ------------------------------------------------------------------ atab-add-altn [39] 100.0% [45] 830(3.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 75.9% for-loop [59] 24.1% ------------------------------------------------------------------ merge-egraph-nodes! [38] 100.0% [46] 638(2.4%) 220(0.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 65.5% ------------------------------------------------------------------ for-loop [40] 26.2% location-do [47] 73.8% [47] 634(2.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [47] 73.8% approximate9 [5] 18.3% simplify [54] 7.9% ------------------------------------------------------------------ for-loop [41] 100.0% [48] 402(1.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [58] 100.0% ------------------------------------------------------------------ match-e [37] 100.0% [49] 242(0.9%) 242(0.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------ merge-egraph-nodes! [38] 100.0% [50] 200(0.7%) 200(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------ loop [43] 31.1% loop [36] 68.9% [51] 10096(37.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [66] 58.1% loop [74] 39.9% eval-prog [60] 2.0% ------------------------------------------------------------------ loop [36] 44.6% loop [43] 55.4% [52] 8376(31.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% ------------------------------------------------------------------ match-e [37] 41.5% for-loop [44] 58.5% [53] 1066(4.0%) 202(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 62.3% ??? [64] 18.8% ------------------------------------------------------------------ location-do [47] 31.5% hash-ref! [77] 68.5% [54] 634(2.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [84] 68.5% f16 [61] 31.5% ------------------------------------------------------------------ best-and-tied-at-points [45]100.0% [55] 630(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [60] 68.3% for-loop [65] 31.7% ------------------------------------------------------------------ for-loop [44] 16.1% list-cartesian-product [56] 33.4% match-e [37] 50.5% [56] 628(2.3%) 628(2.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [56] 33.4% ------------------------------------------------------------------ update-leader! [46] 100.0% [57] 418(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [62] 100.0% ------------------------------------------------------------------ loop! [48] 100.0% [58] 402(1.5%) 200(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [63] 50.2% ------------------------------------------------------------------ best-and-tied-at-points [45]100.0% [59] 200(0.7%) 200(0.7%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------ make-exacts* [51] 18.8% errors [55] 40.5% loop [43] 40.7% [60] 1062(3.9%) 430(1.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [77] 59.5% ------------------------------------------------------------------ simplify [54] 30.3% parse-loop50 [84] 33.3% hash-ref! [77] 36.4% [61] 660(2.5%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [66] 100.0% ------------------------------------------------------------------ for-loop [57] 100.0% [62] 418(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ------------------------------------------------------------------ custom-set-union [58] 100.0% [63] 202(0.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [68] 100.0% ------------------------------------------------------------------ for-loop [53] 100.0% [64] 200(0.7%) 200(0.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------ errors [55] 100.0% [65] 200(0.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [76] 100.0% ------------------------------------------------------------------ f16 [61] 4.4% make-exacts* [51] 39.4% loop [52] 56.2% [66] 14906(55.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 96.4% parse-loop50 [84] 1.5% simplify-node [71] 1.3% ??? [70] 0.8% ------------------------------------------------------------------ for-loop [62] 100.0% [67] 418(1.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ------------------------------------------------------------------ for-loop [63] 100.0% [68] 202(0.8%) 202(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------ hash-update! [67] 100.0% [69] 418(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [73] 100.0% ------------------------------------------------------------------ map [66] 50.0% loop [74] 50.0% [70] 240(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [77] 100.0% ------------------------------------------------------------------ map [66] 100.0% [71] 200(0.7%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [72] 100.0% ------------------------------------------------------------------ simplify-node [71] 47.6% for-loop [26] 52.4% [72] 420(1.6%) 200(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 loop [74] 52.4% ------------------------------------------------------------------ ??? [69] 100.0% [73] 418(1.6%) 202(0.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [75] 51.7% ------------------------------------------------------------------ parse-loop50 [84] 0.1% make-exacts* [51] 0.2% extract-alt [21] 0.5% for-loop [44] 1.1% append-map [72] 1.1% post-process [19] 1.2% map [66] 1.6% ??? [4] 3.0% loop [74] 91.3% [74] 20826(77.4%) 446(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 91.3% hash-ref! [77] 3.0% ??? [76] 1.7% completely-simplify-alt [78] 1.2% taylor-alt [35] 1.1% simplify [3] 0.5% localize-error [7] 0.1% ??? [70] 0.1% ??? [91] 0.1% ->flonum [79] 0.1% ------------------------------------------------------------------ for-loop [73] 100.0% [75] 216(0.8%) 216(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------ for-loop [65] 1.1% loop [74] 98.9% [76] 17510(65.1%) 1094(4.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 81.0% real->bigfloat [82] 7.6% ??? [83] 4.0% ------------------------------------------------------------------ for-loop [20] 3.4% ??? [87] 3.4% localize-error [7] 6.1% eval-prog [60] 7.9% for-loop [14] 8.8% ??? [86] 8.8% loop [13] 8.8% ??? [70] 12.3% loop [74] 40.5% [77] 1306(4.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 40.5% f16 [61] 12.3% ??? [86] 8.8% ??? [6] 8.8% simplify [54] 8.8% bigfloat-hash [85] 7.9% parse-loop50 [84] 6.1% ??? [87] 3.4% ??? [8] 3.4% ------------------------------------------------------------------ post-process [19] 16.1% loop [74] 83.9% [78] 1240(4.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [81] 100.0% ------------------------------------------------------------------ loop [74] 100.0% [79] 736(2.7%) 240(0.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 67.4% ------------------------------------------------------------------ ??? [76] 100.0% [80] 14178(52.7%) 694(2.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 84.2% bf* [88] 7.9% ------------------------------------------------------------------ simplify [3] 33.0% completely-simplify-alt [78] 67.0% [81] 1852(6.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------ ??? [76] 100.0% [82] 1326(4.9%) 870(3.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 34.4% ------------------------------------------------------------------ ??? [76] 100.0% [83] 698(2.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ------------------------------------------------------------------ map [66] 6.5% simplify [54] 17.1% hash-ref! [77] 35.6% parse-loop50 [84] 40.8% [84] 674(2.5%) 434(1.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [84] 40.8% loop [74] 35.6% f16 [61] 6.5% ------------------------------------------------------------------ hash-ref! [77] 100.0% [85] 632(2.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [89] 65.2% bfcanonicalize [90] 34.8% ------------------------------------------------------------------ hash-ref! [77] 100.0% [86] 434(1.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [77] 100.0% ------------------------------------------------------------------ hash-ref! [77] 100.0% [87] 220(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [77] 100.0% ------------------------------------------------------------------ ??? [80] 100.0% [88] 1126(4.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ------------------------------------------------------------------ bigfloat-hash [85] 100.0% [89] 412(1.5%) 412(1.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------ bigfloat-hash [85] 100.0% [90] 220(0.8%) 220(0.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------ loop [74] 1.8% bf* [88] 8.5% ??? [80] 89.7% [91] 13306(49.4%) 6882(25.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [92] 27.7% bfsub [94] 12.0% ??? [93] 8.6% ------------------------------------------------------------------ ??? [91] 100.0% [92] 3688(13.7%) 2346(8.7%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 36.4% ------------------------------------------------------------------ ->flonum [79] 21.3% ??? [83] 29.9% ??? [91] 48.8% [93] 2334(8.7%) 1386(5.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 40.6% ------------------------------------------------------------------ ??? [91] 100.0% [94] 1596(5.9%) 1172(4.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 26.6% ------------------------------------------------------------------ bfsub [94] 19.1% real->bigfloat [82] 20.5% bfsqrt [92] 60.4% [95] 2222(8.3%) 2222(8.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ ??? [93] 100.0% [96] 948(3.5%) 948(3.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------