Profiling results ----------------- Total cpu time observed: 22992ms (out of 23224ms) Number of samples taken: 97 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [28] 100.0% [1] 21570(93.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------ ??? [28] 100.0% [2] 13236(57.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 98.3% get-final-combination [11] 1.7% ------------------------------------------------------------------ loop [73] 1.9% ??? [28] 98.1% [3] 11522(50.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 67.4% for-loop [10] 25.3% iterate-egraph!5 [14] 7.3% ------------------------------------------------------------------ hash-ref! [62] 100.0% [4] 218(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ------------------------------------------------------------------ f6 [67] 100.0% [5] 198(0.9%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [73] 100.0% ------------------------------------------------------------------ loop [73] 100.0% [6] 196(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 66.7% map [70] 33.3% ------------------------------------------------------------------ profile-thunk14 [1] 100.0% [7] 21570(93.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 13016(56.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [9] 7764(33.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 96.9% loop [15] 3.1% ------------------------------------------------------------------ simplify [3] 100.0% [10] 2914(12.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 220(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ------------------------------------------------------------------ ??? [4] 100.0% [12] 218(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [62] 100.0% ------------------------------------------------------------------ for-loop [8] 100.0% [13] 13016(56.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 86.8% gen-series! [19] 6.4% finalize-iter! [20] 5.2% localize-error [22] 1.5% ------------------------------------------------------------------ simplify [3] 7.5% for-loop [10] 25.8% simplify-expr [9] 66.7% [14] 11280(49.1%) 216(0.9%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 98.1% ------------------------------------------------------------------ simplify-expr [9] 100.0% [15] 242(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ------------------------------------------------------------------ get-final-combination [11] 100.0% [16] 220(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ------------------------------------------------------------------ run-iter! [13] 100.0% [17] 11302(49.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [18] 11064(48.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 66.4% loop [25] 33.6% ------------------------------------------------------------------ run-iter! [13] 100.0% [19] 836(3.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ------------------------------------------------------------------ run-iter! [13] 100.0% [20] 682(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [61] 100.0% ------------------------------------------------------------------ loop [15] 100.0% [21] 242(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ------------------------------------------------------------------ run-iter! [13] 100.0% [22] 196(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ------------------------------------------------------------------ simplify! [17] 100.0% [23] 11302(49.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ------------------------------------------------------------------ for-loop [24] 50.0% one-iter [18] 50.0% [24] 7344(31.9%) 1450(6.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [33] 40.1% ------------------------------------------------------------------ one-iter [18] 100.0% [25] 3720(16.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% ------------------------------------------------------------------ gen-series! [19] 100.0% [26] 836(3.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ------------------------------------------------------------------ pass [21] 100.0% [27] 242(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [31] 100.0% ------------------------------------------------------------------ for-loop [23] 17.3% run [7] 40.0% [28] 22570(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.0% run-improve58 [2] 22.0% loop [32] 20.7% simplify [3] 17.3% ------------------------------------------------------------------ loop [25] 100.0% [29] 3720(16.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 39.9% match-e [33] 27.7% for-loop [35] 16.1% substitute-e [41] 10.9% loop! [77] 5.4% ------------------------------------------------------------------ for-loop [26] 100.0% [30] 836(3.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ------------------------------------------------------------------ for-loop [27] 100.0% [31] 242(1.1%) 242(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------ ??? [28] 100.0% [32] 9334(40.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [44] 49.4% loop [36] 45.0% loop [42] 3.1% loop [45] 2.5% ------------------------------------------------------------------ for-loop [46] 9.5% apply-match [29] 13.4% for-loop [24] 77.1% [33] 6926(30.1%) 2328(10.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [37] 37.4% list-cartesian-product [39] 15.3% for-loop [46] 13.0% custom-in-set [43] 2.9% filter [50] 1.4% ------------------------------------------------------------------ taylor-alt [30] 100.0% [34] 836(3.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ------------------------------------------------------------------ apply-match [29] 100.0% [35] 600(2.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [38] 33.3% loop! [77] 33.3% substitute-e [41] 33.3% ------------------------------------------------------------------ loop [32] 100.0% [36] 4202(18.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [45] 62.1% make-exacts* [44] 37.9% ------------------------------------------------------------------ match-e [33] 100.0% [37] 3150(13.7%) 1022(4.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [46] 34.3% loop [73] 12.9% filter [50] 7.0% foldl [52] 7.0% curry* [54] 6.3% ------------------------------------------------------------------ for-loop [35] 11.9% for-loop [48] 13.1% apply-match [29] 75.0% [38] 1684(7.3%) 240(1.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [49] 35.6% for-loop [48] 25.1% loop! [77] 13.1% for-loop [53] 11.9% ------------------------------------------------------------------ list-cartesian-product [39] 39.7% match-e [33] 60.3% [39] 1062(4.6%) 1062(4.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [39] 39.7% ------------------------------------------------------------------ location-do [40] 38.0% for-loop [34] 62.0% [40] 836(3.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [47] 62.0% location-do [40] 38.0% ------------------------------------------------------------------ for-loop [35] 33.1% apply-match [29] 66.9% [41] 604(2.6%) 202(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [51] 66.6% ------------------------------------------------------------------ loop [32] 0.1% loop [42] 99.9% [42] 292(1.3%) 292(1.3%) loop ...hare/racket/collects/racket/list.rkt:154:2 loop [42] 99.9% ------------------------------------------------------------------ match-e [33] 100.0% [43] 200(0.9%) 200(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------ loop [36] 25.7% loop [32] 74.3% [44] 6202(27.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [73] 63.4% map [70] 36.6% ------------------------------------------------------------------ loop [32] 8.1% loop [36] 91.9% [45] 2840(12.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [70] 100.0% ------------------------------------------------------------------ for-loop [37] 46.4% match-e [33] 53.6% [46] 2110(9.2%) 656(2.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 59.1% ??? [59] 9.8% ------------------------------------------------------------------ location-do [40] 100.0% [47] 836(3.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 50.0% debug7 [56] 26.3% f6 [67] 23.7% ------------------------------------------------------------------ merge-egraph-nodes! [38] 100.0% [48] 644(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [38] 68.6% loop! [77] 31.4% ------------------------------------------------------------------ merge-egraph-nodes! [38] 100.0% [49] 600(2.6%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [55] 100.0% ------------------------------------------------------------------ match-e [33] 47.4% for-loop [37] 52.6% [50] 422(1.8%) 422(1.8%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------ substitute-e [41] 100.0% [51] 402(1.7%) 402(1.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------ for-loop [37] 100.0% [52] 220(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [58] 100.0% ------------------------------------------------------------------ merge-egraph-nodes! [38] 100.0% [53] 200(0.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------ for-loop [37] 100.0% [54] 200(0.9%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [60] 100.0% ------------------------------------------------------------------ update-leader! [49] 100.0% [55] 600(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% ------------------------------------------------------------------ simplify [81] 47.4% approximate9 [47] 52.6% [56] 418(1.8%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [61] 100.0% ------------------------------------------------------------------ approximate9 [47] 100.0% [57] 418(1.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ------------------------------------------------------------------ foldl [52] 100.0% [58] 220(1.0%) 220(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------ for-loop [46] 100.0% [59] 206(0.9%) 206(0.9%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------ curry* [54] 100.0% [60] 200(0.9%) 200(0.9%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------ debug7 [56] 38.0% finalize-iter! [20] 62.0% [61] 1100(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [64] 62.0% ??? [78] 38.0% ------------------------------------------------------------------ for-loop [12] 5.1% ??? [69] 5.1% ??? [68] 5.1% localize-error [22] 10.6% loop [57] 15.9% ??? [6] 21.3% ??? [66] 36.9% [62] 614(2.7%) 200(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [66] 36.9% parse-loop12 [87] 21.3% f6 [67] 10.6% ??? [68] 5.1% ??? [69] 5.1% ??? [4] 5.1% simplify [81] 5.1% ------------------------------------------------------------------ for-loop [55] 100.0% [63] 600(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [65] 100.0% ------------------------------------------------------------------ ??? [61] 100.0% [64] 682(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [71] 100.0% ------------------------------------------------------------------ for-loop [63] 100.0% [65] 600(2.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [66] 418(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% ------------------------------------------------------------------ map [70] 25.1% approximate9 [47] 25.1% hash-ref! [62] 49.7% [67] 394(1.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [70] 74.9% taylor [5] 25.1% ------------------------------------------------------------------ hash-ref! [62] 100.0% [68] 218(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [69] 218(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [62] 100.0% ------------------------------------------------------------------ ??? [6] 1.8% f6 [67] 5.4% make-exacts* [44] 41.3% loop [45] 51.6% [70] 5506(23.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 90.7% ??? [76] 4.0% f6 [67] 3.6% ->flonum [79] 1.8% ------------------------------------------------------------------ for-loop [64] 100.0% [71] 682(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [75] 67.7% loop [73] 32.3% ------------------------------------------------------------------ hash-update! [65] 100.0% [72] 600(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ------------------------------------------------------------------ ??? [76] 0.0% parse-loop12 [87] 0.3% atab-add-altn [71] 0.4% extract-alt [16] 0.4% map [70] 0.5% make-exacts* [44] 0.6% loop! [77] 1.4% taylor [5] 1.9% for-loop [37] 3.8% loop [73] 90.8% [73] 10666(46.4%) 638(2.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 90.8% simplify [81] 1.9% loop! [77] 1.4% ??? [76] 0.9% simplify [3] 0.4% loop [82] 0.4% ??? [6] 0.4% ->flonum [79] 0.0% ??? [78] 0.0% real->bigfloat [83] 0.0% ------------------------------------------------------------------ ??? [72] 100.0% [74] 600(2.6%) 600(2.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------ atab-add-altn [71] 100.0% [75] 462(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [80] 100.0% ------------------------------------------------------------------ map [70] 2.6% loop [73] 97.4% [76] 8376(36.4%) 254(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 44.9% real->bigfloat [83] 42.6% loop [73] 9.4% ------------------------------------------------------------------ apply-match [29] 9.6% for-loop [35] 9.6% for-loop [48] 9.7% loop [73] 28.8% merge-egraph-nodes! [38] 42.3% [77] 1044(4.5%) 202(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [85] 61.5% loop [73] 28.8% ------------------------------------------------------------------ loop [73] 39.4% ??? [61] 60.6% [78] 690(3.0%) 418(1.8%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 39.4% ------------------------------------------------------------------ map [70] 31.1% loop [73] 68.9% [79] 630(2.7%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [88] 35.6% ??? [95] 33.3% ??? [89] 31.1% ------------------------------------------------------------------ best-and-tied-at-points [75]100.0% [80] 462(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [86] 100.0% ------------------------------------------------------------------ loop [73] 47.6% hash-ref! [62] 52.4% [81] 416(1.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [87] 52.4% debug7 [56] 47.6% ------------------------------------------------------------------ loop [73] 2.3% loop [82] 97.7% [82] 220(1.0%) 220(1.0%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [82] 97.7% ------------------------------------------------------------------ loop [73] 12.6% ??? [76] 87.4% [83] 4088(17.8%) 3836(16.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 6.2% ------------------------------------------------------------------ ??? [76] 100.0% [84] 3762(16.4%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 77.7% bf* [90] 22.3% ------------------------------------------------------------------ loop! [77] 100.0% [85] 842(3.7%) 400(1.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [91] 52.5% ------------------------------------------------------------------ errors [80] 100.0% [86] 462(2.0%) 462(2.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------ hash-ref! [62] 47.3% simplify [81] 52.7% [87] 414(1.8%) 218(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [73] 47.3% ------------------------------------------------------------------ ->flonum [79] 100.0% [88] 224(1.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [97] 100.0% ------------------------------------------------------------------ ->flonum [79] 100.0% [89] 196(0.9%) 196(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------ ??? [84] 100.0% [90] 838(3.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ------------------------------------------------------------------ custom-set-union [85] 100.0% [91] 442(1.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [93] 100.0% ------------------------------------------------------------------ bf* [90] 22.3% ??? [84] 77.7% [92] 3762(16.4%) 202(0.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [94] 71.8% ??? [95] 15.6% bfsqr [96] 7.2% ------------------------------------------------------------------ for-loop [91] 100.0% [93] 442(1.9%) 442(1.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------ ??? [92] 100.0% [94] 2702(11.8%) 1968(8.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 27.2% ------------------------------------------------------------------ ->flonum [79] 19.7% ??? [78] 25.5% ??? [92] 54.9% [95] 1068(4.6%) 560(2.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 47.6% ------------------------------------------------------------------ ??? [92] 100.0% [96] 272(1.2%) 272(1.2%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ------------------------------------------------------------------ ??? [88] 18.5% real->bigfloat [83] 20.8% bfadd [94] 60.7% [97] 1210(5.3%) 1210(5.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ ??? [95] 100.0% [98] 508(2.2%) 210(0.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 58.7% ------------------------------------------------------------------ ??? [98] 100.0% [99] 298(1.3%) 298(1.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------