Profiling results ----------------- Total cpu time observed: 21028ms (out of 21460ms) Number of samples taken: 85 (once every 247ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 87 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [30] 100.0% [1] 20610(98.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [30] 100.0% [2] 4112(19.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 47.9% finalize-table! [10] 41.5% loop [33] 10.6% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [3] 928(4.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [49] 100.0% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [4] 662(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [5] 662(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [6] 440(2.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [7] 220(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 20610(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1970(9.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1706(8.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [17] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 662(3.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [52] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [12] 662(3.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [52] 66.5% ??? [19] 33.5% ---------------------------------------------------------------------- ??? [6] 100.0% [13] 440(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [14] 220(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [16] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [15] 1970(9.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 45.0% gen-series! [23] 33.6% finalize-iter! [24] 21.4% ---------------------------------------------------------------------- for-loop [14] 11.2% hash-ref! [52] 88.8% [16] 1964(9.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [20] 77.7% parse-loop50 [53] 22.3% ---------------------------------------------------------------------- finalize-table! [10] 100.0% [17] 1706(8.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [21] 76.3% ??? [28] 11.8% loop [49] 11.8% ---------------------------------------------------------------------- for-loop [13] 100.0% [18] 440(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [52] 100.0% ---------------------------------------------------------------------- for-loop [12] 100.0% [19] 222(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [52] 100.0% ---------------------------------------------------------------------- map [45] 9.5% parse-loop50 [53] 12.6% simplify [16] 77.9% [20] 1746(8.3%) 442(2.1%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [45] 62.1% composed [29] 12.6% ---------------------------------------------------------------------- post-process [17] 100.0% [21] 1302(6.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [25] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [22] 886(4.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [23] 662(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [24] 422(2.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ---------------------------------------------------------------------- for-loop [21] 100.0% [25] 1302(6.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [31] 100.0% ---------------------------------------------------------------------- simplify! [22] 100.0% [26] 886(4.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ---------------------------------------------------------------------- gen-series! [23] 100.0% [27] 662(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ---------------------------------------------------------------------- post-process [17] 32.4% finalize-iter! [24] 67.6% [28] 624(3.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ---------------------------------------------------------------------- f16 [20] 100.0% [29] 220(1.0%) 220(1.0%) composed ...ollects/racket/private/list.rkt:321:16 ---------------------------------------------------------------------- for-loop [26] 1.4% run [8] 48.3% [30] 21028(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.3% loop [33] 40.7% run-improve58 [2] 9.6% simplify [35] 1.4% ---------------------------------------------------------------------- for-loop [27] 33.7% append-map [25] 66.3% [31] 1964(9.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [32] 624(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [30] 97.5% [33] 17352(82.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [37] 49.0% make-exacts* [40] 35.3% loop [41] 15.7% ---------------------------------------------------------------------- taylor-alt [31] 100.0% [34] 1964(9.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ---------------------------------------------------------------------- ??? [30] 100.0% [35] 886(4.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [60] 100.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [36] 624(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 100.0% ---------------------------------------------------------------------- loop [33] 100.0% [37] 8496(40.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 55.5% make-exacts* [40] 33.3% eval-prog [47] 11.3% ---------------------------------------------------------------------- location-do [38] 36.9% for-loop [34] 63.1% [38] 1964(9.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [42] 63.1% location-do [38] 36.9% ---------------------------------------------------------------------- atab-add-altn [36] 100.0% [39] 624(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [43] 67.6% for-loop [44] 32.4% ---------------------------------------------------------------------- loop [37] 31.6% loop [33] 68.4% [40] 8956(42.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [45] 50.7% loop [49] 46.6% eval-prog [47] 2.7% ---------------------------------------------------------------------- loop [33] 36.6% loop [37] 63.4% [41] 7440(35.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [45] 100.0% ---------------------------------------------------------------------- location-do [38] 100.0% [42] 1964(9.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [46] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [43] 422(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [48] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [44] 202(1.0%) 202(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- parse-loop50 [53] 2.5% f16 [20] 5.8% make-exacts* [40] 34.8% loop [41] 56.9% [45] 13066(62.1%) 220(1.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [49] 88.6% parse-loop50 [53] 4.9% ??? [51] 4.8% f16 [20] 1.3% ---------------------------------------------------------------------- approximate9 [42] 100.0% [46] 1964(9.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [52] 100.0% ---------------------------------------------------------------------- make-exacts* [40] 19.9% loop [37] 80.1% [47] 1194(5.7%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [52] 77.7% inductor [50] 22.3% ---------------------------------------------------------------------- errors [43] 100.0% [48] 422(2.0%) 422(2.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- make-exacts* [40] 0.1% post-process [17] 0.1% parse-loop50 [53] 1.3% map [45] 4.4% ??? [3] 5.4% loop [49] 88.7% [49] 17324(82.4%) 428(2.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [49] 88.7% hash-ref! [52] 5.4% parse-loop50 [53] 3.8% ??? [51] 1.9% completely-simplify-alt [56] 0.1% ->flonum [54] 0.0% ---------------------------------------------------------------------- eval-prog [47] 33.3% inductor [50] 66.7% [50] 266(1.3%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [50] 66.7% integer->bigfloat [55] 33.3% ---------------------------------------------------------------------- map [45] 4.1% loop [49] 95.9% [51] 15282(72.7%) 1578(7.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [57] 71.5% real->bigfloat [59] 12.3% ??? [74] 5.8% ---------------------------------------------------------------------- ??? [19] 1.3% for-loop [18] 4.4% for-loop [12] 5.1% for-loop [11] 8.3% eval-prog [47] 14.9% loop [49] 17.2% ??? [58] 23.8% loop [46] 23.8% [52] 2892(13.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [58] 23.8% simplify [16] 21.9% ??? [3] 17.2% bigfloat-hash [61] 14.9% ??? [4] 8.3% ??? [5] 6.4% ??? [6] 4.4% ??? [7] 1.9% ---------------------------------------------------------------------- loop [49] 16.9% simplify [16] 19.6% parse-loop50 [53] 24.7% map [45] 38.9% [53] 1302(6.2%) 1082(5.1%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [53] 24.7% map [45] 18.0% loop [49] 2.8% f16 [20] 2.8% ---------------------------------------------------------------------- loop [49] 100.0% [54] 448(2.1%) 448(2.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ---------------------------------------------------------------------- inductor [50] 100.0% [55] 266(1.3%) 266(1.3%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- loop [49] 100.0% [56] 202(1.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [60] 100.0% ---------------------------------------------------------------------- ??? [51] 100.0% [57] 10930(52.0%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [62] 66.5% ...higher-order.rkt:373:33 [63] 17.4% ...higher-order.rkt:369:33 [64] 13.5% bf<= [67] 2.6% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [58] 1964(9.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [52] 100.0% ---------------------------------------------------------------------- ??? [51] 100.0% [59] 1884(9.0%) 1656(7.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [75] 12.1% ---------------------------------------------------------------------- completely-simplify-alt [56] 18.6% simplify [35] 81.4% [60] 1088(5.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [65] 100.0% ---------------------------------------------------------------------- hash-ref! [52] 100.0% [61] 928(4.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [66] 74.4% sig+exp->bigfloat [68] 25.6% ---------------------------------------------------------------------- ??? [57] 100.0% [62] 7266(34.6%) 2950(14.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [69] 39.7% bfsqr [72] 13.5% ??? [78] 6.1% ---------------------------------------------------------------------- ??? [57] 100.0% [63] 1898(9.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [70] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [64] 1478(7.0%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [70] 65.0% ??? [74] 35.0% ---------------------------------------------------------------------- simplify-expr [60] 100.0% [65] 1088(5.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [71] 100.0% ---------------------------------------------------------------------- bigfloat-hash [61] 100.0% [66] 690(3.3%) 490(2.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [73] 29.0% ---------------------------------------------------------------------- ??? [57] 100.0% [67] 288(1.4%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [78] 100.0% ---------------------------------------------------------------------- bigfloat-hash [61] 100.0% [68] 238(1.1%) 238(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [62] 100.0% [69] 2888(13.7%) 2152(10.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [75] 25.5% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [64] 33.6% ...higher-order.rkt:373:33 [63] 66.4% [70] 2858(13.6%) 486(2.3%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [74] 83.0% ---------------------------------------------------------------------- iterate-egraph!5 [65] 100.0% [71] 1088(5.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [76] 80.0% loop [77] 20.0% ---------------------------------------------------------------------- ??? [62] 100.0% [72] 984(4.7%) 520(2.5%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [75] 47.2% ---------------------------------------------------------------------- bfcanonicalize [66] 100.0% [73] 200(1.0%) 200(1.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [64] 13.7% ??? [51] 23.5% ??? [70] 62.8% [74] 3780(18.0%) 234(1.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [78] 93.8% ---------------------------------------------------------------------- real->bigfloat [59] 16.0% bfsqr [72] 32.5% bfadd [69] 51.5% [75] 1428(6.8%) 1428(6.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- for-loop [76] 50.0% one-iter [71] 50.0% [76] 870(4.1%) 242(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [76] 50.0% match-e [79] 36.1% ---------------------------------------------------------------------- one-iter [71] 100.0% [77] 218(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [80] 100.0% ---------------------------------------------------------------------- bf<= [67] 6.7% ??? [62] 10.4% ??? [74] 82.9% [78] 4278(20.3%) 2838(13.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [81] 33.7% ---------------------------------------------------------------------- for-loop [76] 100.0% [79] 628(3.0%) 426(2.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 32.2% ---------------------------------------------------------------------- loop [77] 100.0% [80] 218(1.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 reduce-to-single! [82] 100.0% ---------------------------------------------------------------------- ??? [78] 100.0% [81] 1440(6.8%) 1016(4.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [84] 29.4% ---------------------------------------------------------------------- apply-match [80] 100.0% [82] 218(1.0%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [85] 100.0% ---------------------------------------------------------------------- match-e [79] 100.0% [83] 202(1.0%) 202(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ---------------------------------------------------------------------- ??? [81] 100.0% [84] 424(2.0%) 424(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- reduce-to-single! [82] 100.0% [85] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:328:21 update-en-expr [86] 100.0% ---------------------------------------------------------------------- for-loop [85] 100.0% [86] 218(1.0%) 218(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------