Profiling results ----------------- Total cpu time observed: 142634ms (out of 144316ms) Number of samples taken: 372 (once every 383ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 92 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [8] 100.0% [1] 141276(99.0%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ------------------------------------------------------------------------- map [36] 0.9% for-loop [82] 1.0% loop [38] 98.0% [2] 133916(93.9%) 360(0.3%) ??? ...tlies/herbie/develop/src/programs.rkt:154:4 ??? [5] 94.4% ??? [6] 5.3% ------------------------------------------------------------------------- ??? [43] 100.0% [3] 322(0.2%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [7] 100.0% ------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [4] 141276(99.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [8] 100.0% ------------------------------------------------------------------------- ??? [2] 100.0% [5] 126456(88.7%) 5084(3.6%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [39] 76.8% bffmod [9] 13.2% bf* [13] 4.6% ...higher-order.rkt:346:33 [11] 0.3% parse-loop12 [53] 0.3% ??? [12] 0.3% ------------------------------------------------------------------------- ??? [2] 100.0% [6] 7100(5.0%) 0(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [10] 100.0% ------------------------------------------------------------------------- approximate9 [3] 100.0% [7] 322(0.2%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [43] 100.0% ------------------------------------------------------------------------- for-loop [31] 0.4% run [4] 49.5% [8] 142272(99.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.5% loop [16] 47.5% run-improve50 [14] 2.7% location-do [46] 0.4% ------------------------------------------------------------------------- ??? [5] 100.0% [9] 16652(11.7%) 722(0.5%) bffmod ...rbie/develop/src/syntax/syntax.rkt:329:0 ??? [39] 79.6% bf* [13] 16.1% ------------------------------------------------------------------------- ??? [6] 100.0% [10] 7100(5.0%) 5714(4.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [45] 19.5% ------------------------------------------------------------------------- ??? [5] 100.0% [11] 358(0.3%) 0(0.0%) ...higher-order.rkt:346:33 (unknown source) ??? [15] 100.0% ------------------------------------------------------------------------- ??? [5] 100.0% [12] 334(0.2%) 0(0.0%) ??? ...herbie/develop/src/syntax/syntax.rkt:153:17 ??? [62] 100.0% ------------------------------------------------------------------------- bffmod [9] 31.3% ??? [5] 68.7% [13] 8548(6.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [39] 100.0% ------------------------------------------------------------------------- ??? [8] 100.0% [14] 7584(5.3%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 loop [16] 54.5% for-loop [17] 40.7% get-final-combination [18] 4.7% ------------------------------------------------------------------------- ??? [55] 49.3% ...higher-order.rkt:346:33 [11] 50.7% [15] 706(0.5%) 358(0.3%) ??? ...cts/racket/contract/private/list.rkt:187:10 for-loop [19] 49.3% ------------------------------------------------------------------------- run-improve50 [14] 3.0% ??? [8] 97.0% [16] 138822(97.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 loop [20] 49.9% make-exacts* [23] 37.2% loop [24] 13.0% ------------------------------------------------------------------------- run-improve50 [14] 100.0% [17] 3090(2.2%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [21] 100.0% ------------------------------------------------------------------------- run-improve50 [14] 100.0% [18] 360(0.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 extract-alt [22] 100.0% ------------------------------------------------------------------------- ??? [15] 100.0% [19] 348(0.2%) 0(0.0%) for-loop ...acket/contract/private/list.rkt:190:15 ??? [55] 100.0% ------------------------------------------------------------------------- loop [16] 100.0% [20] 69204(48.5%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 loop [24] 53.5% make-exacts* [23] 44.4% eval-prog [30] 2.1% ------------------------------------------------------------------------- for-loop [17] 100.0% [21] 3090(2.2%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [25] 43.6% finalize-iter! [26] 33.2% localize-error [27] 12.8% gen-series! [29] 10.4% ------------------------------------------------------------------------- get-final-combination [18] 100.0% [22] 360(0.3%) 0(0.0%) extract-alt ...es/herbie/develop/src/glue.rkt:55:0 argmins [28] 100.0% ------------------------------------------------------------------------- loop [20] 37.3% loop [16] 62.7% [23] 82370(57.7%) 348(0.2%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [38] 51.6% map [36] 45.9% eval-prog [30] 2.1% ------------------------------------------------------------------------- loop [16] 32.7% loop [20] 67.3% [24] 55000(38.6%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [36] 100.0% ------------------------------------------------------------------------- run-iter! [21] 100.0% [25] 1348(0.9%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [31] 100.0% ------------------------------------------------------------------------- run-iter! [21] 100.0% [26] 1026(0.7%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [50] 100.0% ------------------------------------------------------------------------- run-iter! [21] 100.0% [27] 394(0.3%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [47] 100.0% ------------------------------------------------------------------------- extract-alt [22] 100.0% [28] 360(0.3%) 0(0.0%) argmins ...ies/herbie/develop/src/common.rkt:150:0 composed [32] 100.0% ------------------------------------------------------------------------- run-iter! [21] 100.0% [29] 322(0.2%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [33] 100.0% ------------------------------------------------------------------------- loop [20] 45.5% make-exacts* [23] 54.5% [30] 3190(2.2%) 328(0.2%) eval-prog ...herbie/develop/src/programs.rkt:148:0 f6 [34] 89.7% ------------------------------------------------------------------------- simplify! [25] 100.0% [31] 1348(0.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [8] 100.0% ------------------------------------------------------------------------- argmins [28] 100.0% [32] 360(0.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [79] 100.0% ------------------------------------------------------------------------- gen-series! [29] 100.0% [33] 322(0.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [35] 100.0% ------------------------------------------------------------------------- f6 [34] 5.3% hash-ref! [47] 12.1% eval-prog [30] 82.6% [34] 3256(2.3%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:507:40 ??? [50] 43.3% ??? [43] 39.3% map [36] 12.1% f6 [34] 5.3% ------------------------------------------------------------------------- for-loop [33] 100.0% [35] 322(0.2%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:134:0 for-loop [37] 100.0% ------------------------------------------------------------------------- f6 [34] 0.4% make-exacts* [23] 40.6% loop [24] 59.0% [36] 93184(65.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [38] 98.2% ??? [2] 1.4% ??? [44] 0.2% ??? [39] 0.2% ------------------------------------------------------------------------- taylor-alt [35] 100.0% [37] 322(0.2%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:139:6 ??? [43] 100.0% ------------------------------------------------------------------------- parse-loop12 [53] 0.3% make-exacts* [23] 0.5% map [36] 2.5% loop [38] 96.7% [38] 134770(94.5%) 714(0.5%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [38] 96.7% ??? [2] 2.6% ??? [43] 0.4% ??? [44] 0.3% ------------------------------------------------------------------------- map [36] 0.3% bf* [13] 7.2% bffmod [9] 11.1% ??? [5] 81.4% [39] 119324(83.7%) 84714(59.4%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [40] 16.9% bfasin [41] 7.8% bffloor [42] 4.4% ------------------------------------------------------------------------- ??? [39] 100.0% [40] 20160(14.1%) 16996(11.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [45] 15.7% ------------------------------------------------------------------------- ??? [39] 100.0% [41] 9256(6.5%) 6296(4.4%) bfasin ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [45] 32.0% ------------------------------------------------------------------------- ??? [39] 100.0% [42] 5194(3.6%) 4516(3.2%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:714:4 ??? [45] 13.1% ------------------------------------------------------------------------- loop [7] 2.6% location-do [46] 2.6% for-loop [37] 2.6% f6 [34] 34.8% loop [38] 57.5% [43] 4176(2.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:342:33 location-do [46] 68.7% ...velop/src/common.rkt:47:2 [48] 17.1% ??? [49] 9.1% approximate9 [3] 2.6% hash-ref! [47] 2.6% ------------------------------------------------------------------------- map [36] 33.3% loop [38] 66.7% [44] 394(0.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [47] 100.0% ------------------------------------------------------------------------- bffloor [42] 8.3% real->bigfloat [10] 16.9% bfasin [41] 36.2% bfmul [40] 38.6% [45] 8188(5.7%) 8188(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------- for-loop [57] 3.8% location-do [46] 12.6% ??? [8] 18.9% ??? [43] 64.7% [46] 4430(3.1%) 1048(0.7%) location-do ...acket/private/norm-define.rkt:53:83 return/no-unsupplied [52] 23.0% location-do [46] 12.6% iterate-egraph!13 [51] 11.5% ??? [67] 8.1% list-member? [56] 7.6% *simplify-rules* [58] 7.4% for-loop [57] 3.8% ??? [43] 2.4% ------------------------------------------------------------------------- localize-error [27] 13.8% ??? [44] 41.3% ??? [43] 45.0% [47] 716(0.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [59] 45.0% parse-loop12 [53] 27.5% f6 [34] 27.5% ------------------------------------------------------------------------- ??? [43] 100.0% [48] 716(0.5%) 0(0.0%) ...velop/src/common.rkt:47:2 ...e/arr-i.rkt:906:19 ??? [54] 51.4% ??? [55] 48.6% ------------------------------------------------------------------------- ??? [43] 100.0% [49] 378(0.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:644:8 ??? [50] 100.0% ------------------------------------------------------------------------- ??? [49] 13.4% finalize-iter! [26] 36.5% f6 [34] 50.1% [50] 2814(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 hash-has-key? [60] 63.5% for-loop [61] 36.5% ------------------------------------------------------------------------- location-do [46] 100.0% [51] 1022(0.7%) 334(0.2%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [63] 67.3% ------------------------------------------------------------------------- location-do [46] 100.0% [52] 1018(0.7%) 686(0.5%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 filter [64] 32.6% ------------------------------------------------------------------------- ??? [5] 47.6% hash-ref! [47] 52.4% [53] 752(0.5%) 358(0.3%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [38] 52.4% ------------------------------------------------------------------------- ...velop/src/common.rkt:47:2 [48]100.0% [54] 368(0.3%) 0(0.0%) ??? ...s/racket/contract/private/arr-i.rkt:1268:39 ??? [62] 100.0% ------------------------------------------------------------------------- for-loop [19] 50.0% ...velop/src/common.rkt:47:2 [48] 50.0% [55] 348(0.2%) 348(0.2%) ??? ...ects/racket/contract/private/list.rkt:342:4 ??? [15] 50.0% ------------------------------------------------------------------------- location-do [46] 100.0% [56] 336(0.2%) 336(0.2%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------- location-do [46] 100.0% [57] 334(0.2%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 location-do [46] 100.0% ------------------------------------------------------------------------- location-do [46] 100.0% [58] 326(0.2%) 0(0.0%) *simplify-rules* ...lop/src/syntax/rules.rkt:518:0 for-loop [65] 100.0% ------------------------------------------------------------------------- hash-ref! [47] 100.0% [59] 322(0.2%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 simplify* [66] 100.0% ------------------------------------------------------------------------- ??? [50] 100.0% [60] 1788(1.3%) 0(0.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ??? [67] 100.0% ------------------------------------------------------------------------- ??? [50] 100.0% [61] 1026(0.7%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [68] 100.0% ------------------------------------------------------------------------- ??? [12] 47.6% ??? [54] 52.4% [62] 702(0.5%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [74] 100.0% ------------------------------------------------------------------------- iterate-egraph!13 [51] 100.0% [63] 688(0.5%) 0(0.0%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 for-loop [69] 52.3% loop [70] 47.7% ------------------------------------------------------------------------- return/no-unsupplied [52] 100.0% [64] 332(0.2%) 332(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------- *simplify-rules* [58] 100.0% [65] 326(0.2%) 326(0.2%) for-loop ...ies/herbie/develop/src/common.rkt:99:9 ------------------------------------------------------------------------- simplify [59] 100.0% [66] 322(0.2%) 0(0.0%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 ??? [71] 100.0% ------------------------------------------------------------------------- location-do [46] 16.7% hash-has-key? [60] 83.3% [67] 2146(1.5%) 378(0.3%) ??? ...ects/racket/contract/private/list.rkt:737:4 arrow-higher-order:lnp [72] 65.7% ??? [76] 16.7% ------------------------------------------------------------------------- for-loop [61] 100.0% [68] 1026(0.7%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [73] 100.0% ------------------------------------------------------------------------- for-loop [69] 50.0% one-iter [63] 50.0% [69] 360(0.3%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [69] 50.0% match-e [75] 50.0% ------------------------------------------------------------------------- one-iter [63] 100.0% [70] 328(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [77] 100.0% ------------------------------------------------------------------------- simplify* [66] 100.0% [71] 322(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:762:9 ??? [74] 100.0% ------------------------------------------------------------------------- ??? [67] 100.0% [72] 1410(1.0%) 0(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:597:7 ??? [78] 100.0% ------------------------------------------------------------------------- atab-add-altn [68] 100.0% [73] 1026(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [79] 100.0% ------------------------------------------------------------------------- ??? [71] 31.4% ??? [62] 68.6% [74] 1024(0.7%) 1024(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------- for-loop [84] 50.0% for-loop [69] 50.0% [75] 360(0.3%) 0(0.0%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [80] 100.0% ------------------------------------------------------------------------- ??? [67] 100.0% [76] 358(0.3%) 358(0.3%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 ------------------------------------------------------------------------- loop [70] 100.0% [77] 328(0.2%) 0(0.0%) apply-match ...develop/src/core/simplify.rkt:130:2 for-loop [81] 100.0% ------------------------------------------------------------------------- arrow-higher-order:lnp [72] 100.0% [78] 1410(1.0%) 1410(1.0%) ??? ...et/contract/private/arity-checking.rkt:19:2 ------------------------------------------------------------------------- composed [32] 26.0% best-and-tied-at-points [73] 74.0% [79] 1386(1.0%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [82] 100.0% ------------------------------------------------------------------------- match-e [75] 100.0% [80] 360(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [84] 50.0% list-cartesian-product [83] 50.0% ------------------------------------------------------------------------- apply-match [77] 100.0% [81] 328(0.2%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:145:10 merge-egraph-nodes! [85] 100.0% ------------------------------------------------------------------------- errors [79] 100.0% [82] 1386(1.0%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [2] 100.0% ------------------------------------------------------------------------- for-loop [80] 100.0% [83] 360(0.3%) 360(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------- for-loop [80] 100.0% [84] 360(0.3%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [75] 100.0% ------------------------------------------------------------------------- for-loop [81] 100.0% [85] 328(0.2%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [86] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [86] 328(0.2%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [87] 100.0% ------------------------------------------------------------------------- update-leader! [86] 100.0% [87] 328(0.2%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [88] 100.0% ------------------------------------------------------------------------- for-loop [87] 100.0% [88] 328(0.2%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [89] 100.0% ------------------------------------------------------------------------- for-loop [88] 100.0% [89] 328(0.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [90] 100.0% ------------------------------------------------------------------------- hash-update! [89] 100.0% [90] 328(0.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [91] 100.0% ------------------------------------------------------------------------- ??? [90] 100.0% [91] 328(0.2%) 328(0.2%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 -------------------------------------------------------------------------