Profiling results ----------------- Total cpu time observed: 26244ms (out of 26712ms) Number of samples taken: 113 (once every 232ms) (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 ===================================================================== ??? [49] 100.0% [1] 25812(98.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% --------------------------------------------------------------------- ??? [49] 100.0% [2] 8376(31.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [14] 60.1% for-loop [16] 34.9% get-final-combination [22] 2.7% loop [55] 2.3% --------------------------------------------------------------------- location-do [86] 100.0% [3] 6302(24.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [12] 89.8% taylor-sqrt [19] 6.7% f37 [50] 3.5% --------------------------------------------------------------------- hash-ref! [74] 100.0% [4] 5278(20.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [5] 4654(17.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [6] 1286(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [17] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [7] 642(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 100.0% --------------------------------------------------------------------- loop [70] 100.0% [8] 612(2.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [18] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [9] 442(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [10] 214(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [70] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 25812(98.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [49] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [12] 5658(21.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [74] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [13] 5278(20.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [24] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 5034(19.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [25] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [15] 4654(17.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [74] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 2924(11.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [17] 1286(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [69] 100.0% --------------------------------------------------------------------- simplify [58] 24.6% completely-simplify-alt [8] 75.4% [18] 812(3.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [27] 75.6% loop [30] 24.4% --------------------------------------------------------------------- f37 [50] 34.2% approximate9 [3] 65.8% [19] 644(2.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [74] 68.6% simplify [23] 31.4% --------------------------------------------------------------------- ??? [7] 100.0% [20] 642(2.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [74] 68.8% ??? [29] 31.2% --------------------------------------------------------------------- ??? [9] 100.0% [21] 442(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [23] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [22] 222(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [28] 100.0% --------------------------------------------------------------------- taylor-sqrt [19] 3.2% for-loop [21] 7.0% hash-ref! [74] 89.8% [23] 6302(24.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [69] 63.3% f37 [50] 33.2% debug-print [37] 3.5% --------------------------------------------------------------------- for-loop [13] 100.0% [24] 5278(20.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [74] 100.0% --------------------------------------------------------------------- finalize-table! [14] 100.0% [25] 5034(19.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [31] 83.8% loop [70] 12.2% localize-error [38] 4.0% --------------------------------------------------------------------- for-loop [16] 100.0% [26] 2924(11.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [32] 71.2% finalize-iter! [34] 14.4% simplify! [35] 14.4% --------------------------------------------------------------------- simplify [58] 26.4% simplify-expr [18] 73.6% [27] 834(3.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [33] 100.0% --------------------------------------------------------------------- get-final-combination [22] 100.0% [28] 222(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [36] 100.0% --------------------------------------------------------------------- for-loop [20] 100.0% [29] 200(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [74] 100.0% --------------------------------------------------------------------- simplify-expr [18] 100.0% [30] 198(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% --------------------------------------------------------------------- post-process [25] 100.0% [31] 4220(16.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [40] 100.0% --------------------------------------------------------------------- run-iter! [26] 100.0% [32] 2082(7.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [41] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [33] 834(3.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [43] 74.1% loop [47] 25.9% --------------------------------------------------------------------- run-iter! [26] 100.0% [34] 422(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [44] 100.0% --------------------------------------------------------------------- run-iter! [26] 100.0% [35] 420(1.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 100.0% --------------------------------------------------------------------- extract-alt [28] 100.0% [36] 222(0.8%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [42] 100.0% --------------------------------------------------------------------- simplify [23] 100.0% [37] 220(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [46] 100.0% --------------------------------------------------------------------- post-process [25] 100.0% [38] 202(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% --------------------------------------------------------------------- loop [30] 100.0% [39] 198(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [48] 100.0% --------------------------------------------------------------------- f37 [50] 7.8% for-loop [31] 92.2% [40] 4220(16.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [75] 72.8% loop [70] 19.4% f37 [50] 5.5% free-variables [51] 2.3% --------------------------------------------------------------------- gen-series! [32] 100.0% [41] 2082(7.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [75] 100.0% --------------------------------------------------------------------- loop [36] 34.4% f37 [50] 65.6% [42] 646(2.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [50] 65.6% errors [64] 34.4% --------------------------------------------------------------------- for-loop [43] 50.0% one-iter [33] 50.0% [43] 618(2.4%) 198(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [43] 50.0% match-e [56] 34.0% --------------------------------------------------------------------- finalize-iter! [34] 100.0% [44] 422(1.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [52] 100.0% --------------------------------------------------------------------- simplify! [35] 100.0% [45] 420(1.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [49] 100.0% --------------------------------------------------------------------- debug-print [37] 100.0% [46] 220(0.8%) 220(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- one-iter [33] 100.0% [47] 216(0.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [53] 100.0% --------------------------------------------------------------------- pass [39] 100.0% [48] 198(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [54] 100.0% --------------------------------------------------------------------- for-loop [45] 0.5% run [11] 49.3% [49] 26026(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.3% loop [55] 34.3% run-improve58 [2] 15.8% simplify [58] 0.5% --------------------------------------------------------------------- composed [42] 2.9% loop [70] 3.0% hash-ref! [74] 6.1% approximate9 [3] 6.6% append-map [40] 7.0% parse-loop50 [69] 27.7% simplify [23] 46.8% [50] 3338(12.7%) 1488(5.7%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [66] 39.2% append-map [40] 9.8% taylor-sqrt [19] 6.6% composed [42] 2.9% --------------------------------------------------------------------- append-map [40] 100.0% [51] 424(1.6%) 424(1.6%) free-variables ...ock/herbie/src/programs.rkt:89:0 --------------------------------------------------------------------- ??? [44] 100.0% [52] 422(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [57] 100.0% --------------------------------------------------------------------- loop [47] 100.0% [53] 216(0.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [56] 100.0% --------------------------------------------------------------------- for-loop [48] 100.0% [54] 198(0.8%) 198(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- run-improve58 [2] 1.1% ??? [49] 98.9% [55] 17846(68.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [59] 46.8% make-exacts* [62] 43.0% loop [63] 10.3% --------------------------------------------------------------------- for-loop [65] 17.0% apply-match [53] 17.0% for-loop [43] 66.0% [56] 636(2.4%) 420(1.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [61] 34.0% --------------------------------------------------------------------- for-loop [52] 100.0% [57] 422(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [60] 100.0% --------------------------------------------------------------------- ??? [49] 100.0% [58] 420(1.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [27] 52.4% simplify-expr [18] 47.6% --------------------------------------------------------------------- loop [55] 100.0% [59] 8346(31.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 59.7% make-exacts* [62] 35.3% eval-prog [67] 4.9% --------------------------------------------------------------------- atab-add-altn [57] 100.0% [60] 422(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% --------------------------------------------------------------------- match-e [56] 100.0% [61] 216(0.8%) 216(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [65] 50.0% --------------------------------------------------------------------- loop [59] 27.8% loop [55] 72.2% [62] 10620(40.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [70] 55.4% map [66] 44.6% --------------------------------------------------------------------- loop [55] 26.8% loop [59] 73.2% [63] 6816(26.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% --------------------------------------------------------------------- composed [42] 34.5% best-and-tied-at-points [60] 65.5% [64] 644(2.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 65.5% eval-prog [67] 34.5% --------------------------------------------------------------------- for-loop [61] 100.0% [65] 216(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [56] 100.0% --------------------------------------------------------------------- f37 [50] 8.9% parse-loop50 [69] 12.2% make-exacts* [62] 32.3% loop [63] 46.6% [66] 14638(55.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 81.2% parse-loop50 [69] 14.1% ??? [73] 4.7% --------------------------------------------------------------------- errors [64] 35.1% loop [59] 64.9% [67] 632(2.4%) 222(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [74] 64.9% --------------------------------------------------------------------- errors [64] 100.0% [68] 422(1.6%) 422(1.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 --------------------------------------------------------------------- hash-ref! [74] 3.4% loop [70] 10.6% for-loop [17] 14.1% map [66] 16.0% simplify [23] 19.4% parse-loop50 [69] 36.4% [69] 5860(22.3%) 3744(14.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [69] 36.4% for-loop [71] 14.1% loop [70] 13.8% map [66] 7.8% f37 [50] 4.9% parse-app [72] 2.0% --------------------------------------------------------------------- make-exacts* [62] 0.4% post-process [25] 0.7% ??? [10] 1.1% append-map [40] 2.7% parse-loop50 [69] 4.3% map [66] 5.7% loop [70] 85.1% [70] 20240(77.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 85.1% parse-loop50 [69] 6.9% taylor-alt [75] 2.7% ??? [73] 2.4% hash-ref! [74] 1.1% completely-simplify-alt [8] 0.7% f37 [50] 0.5% bf* [77] 0.3% ->flonum [76] 0.0% --------------------------------------------------------------------- parse-loop50 [69] 100.0% [71] 1286(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [74] 100.0% --------------------------------------------------------------------- parse-loop50 [69] 100.0% [72] 426(1.6%) 426(1.6%) parse-app .../collects/racket/private/kw.rkt:903:2 --------------------------------------------------------------------- map [66] 4.1% loop [70] 95.9% [73] 16772(63.9%) 652(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 58.5% real->bigfloat [81] 30.7% ??? [93] 5.5% --------------------------------------------------------------------- ??? [29] 0.7% for-loop [20] 1.1% localize-error [38] 1.5% loop [70] 2.1% ??? [82] 3.8% eval-prog [67] 4.0% for-loop [71] 4.1% taylor-sqrt [19] 4.9% for-loop [15] 16.1% for-loop [24] 18.4% ??? [80] 20.0% loop [12] 20.0% [74] 6712(25.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [23] 23.8% ??? [80] 20.0% ??? [4] 18.4% ??? [5] 16.1% ??? [6] 4.1% bigfloat-hash [84] 4.0% ??? [82] 3.8% ??? [10] 2.1% ??? [7] 1.8% parse-loop50 [69] 1.5% f37 [50] 1.5% ??? [9] 1.1% --------------------------------------------------------------------- loop [70] 13.0% for-loop [41] 33.0% append-map [40] 54.0% [75] 6302(24.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [79] 100.0% --------------------------------------------------------------------- loop [70] 100.0% [76] 664(2.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [83] 63.0% ??? [94] 37.0% --------------------------------------------------------------------- loop [70] 100.0% [77] 202(0.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [85] 100.0% --------------------------------------------------------------------- ??? [73] 100.0% [78] 9812(37.4%) 890(3.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 86.4% ...higher-order.rkt:373:33 [87] 4.5% --------------------------------------------------------------------- taylor-alt [75] 100.0% [79] 6302(24.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [86] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [80] 5658(21.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [74] 100.0% --------------------------------------------------------------------- ??? [73] 100.0% [81] 5150(19.6%) 3454(13.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [92] 32.9% --------------------------------------------------------------------- hash-ref! [74] 100.0% [82] 1066(4.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [74] 100.0% --------------------------------------------------------------------- ->flonum [76] 100.0% [83] 418(1.6%) 418(1.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- hash-ref! [74] 100.0% [84] 410(1.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [88] 100.0% --------------------------------------------------------------------- bf* [77] 2.3% ??? [78] 97.7% [85] 8682(33.1%) 1598(6.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [89] 38.0% ??? [94] 26.3% bfsub [90] 17.3% --------------------------------------------------------------------- for-loop [79] 45.8% location-do [86] 54.2% [86] 6302(24.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [86] 54.2% approximate9 [3] 45.8% --------------------------------------------------------------------- ??? [78] 100.0% [87] 442(1.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% --------------------------------------------------------------------- bigfloat-hash [84] 100.0% [88] 410(1.6%) 410(1.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- ??? [85] 100.0% [89] 3300(12.6%) 1382(5.3%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [92] 58.1% --------------------------------------------------------------------- ??? [85] 100.0% [90] 1502(5.7%) 1336(5.1%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [92] 11.1% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [87]100.0% [91] 442(1.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% --------------------------------------------------------------------- bfsub [90] 4.4% real->bigfloat [81] 44.9% bfsqr [89] 50.7% [92] 3780(14.4%) 3780(14.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [91] 32.3% ??? [73] 67.7% [93] 1368(5.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% --------------------------------------------------------------------- ->flonum [76] 6.3% ??? [93] 35.1% ??? [85] 58.6% [94] 3896(14.8%) 2040(7.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 47.6% --------------------------------------------------------------------- ??? [94] 100.0% [95] 1856(7.1%) 454(1.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 75.5% --------------------------------------------------------------------- ??? [95] 100.0% [96] 1402(5.3%) 1402(5.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------