Profiling results ----------------- Total cpu time observed: 30620ms (out of 31136ms) Number of samples taken: 83 (once every 369ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ==================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ==================================================================== ??? [8] 100.0% [1] 29286(95.6%) 0(0.0%) profile-thunk16 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% -------------------------------------------------------------------- hash-ref! [58] 100.0% [2] 332(1.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:295:23 for-loop [7] 100.0% -------------------------------------------------------------------- ??? [32] 100.0% [3] 332(1.1%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [6] 100.0% -------------------------------------------------------------------- loop [73] 100.0% [4] 326(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [58] 100.0% -------------------------------------------------------------------- profile-thunk16 [1] 100.0% [5] 29286(95.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:39:2 ??? [8] 100.0% -------------------------------------------------------------------- approximate9 [3] 100.0% [6] 332(1.1%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 ??? [32] 100.0% -------------------------------------------------------------------- ??? [2] 100.0% [7] 332(1.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:298:27 hash-ref! [58] 100.0% -------------------------------------------------------------------- for-loop [24] 5.4% run [5] 45.1% [8] 30620(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 45.1% loop [10] 25.0% run-improve50 [9] 24.5% ??? [33] 5.4% -------------------------------------------------------------------- ??? [8] 100.0% [9] 15702(51.3%) 0(0.0%) run-improve50 ...ie/develop/src/mainloop.rkt:234:0 for-loop [11] 70.2% get-final-combination [12] 27.9% loop [10] 1.9% -------------------------------------------------------------------- run-improve50 [9] 1.9% ??? [8] 98.1% [10] 15214(49.7%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:193:2 make-exacts* [16] 54.5% loop [14] 45.5% -------------------------------------------------------------------- run-improve50 [9] 100.0% [11] 11030(36.0%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:249:10 run-iter! [13] 100.0% -------------------------------------------------------------------- run-improve50 [9] 100.0% [12] 4376(14.3%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:264:0 split-table [15] 100.0% -------------------------------------------------------------------- for-loop [11] 100.0% [13] 11030(36.0%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:215:0 simplify! [17] 48.1% finalize-iter! [19] 36.7% localize-error [20] 6.2% gen-series! [21] 6.0% choose-best-alt! [22] 2.9% -------------------------------------------------------------------- loop [10] 100.0% [14] 6920(22.6%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:151:2 loop [18] 70.0% make-exacts* [16] 25.7% eval-prog [81] 4.3% -------------------------------------------------------------------- get-final-combination [12] 100.0% [15] 4376(14.3%) 0(0.0%) split-table ...s/herbie/develop/src/glue.rkt:162:0 f6 [65] 100.0% -------------------------------------------------------------------- loop [14] 17.7% loop [10] 82.3% [16] 10072(32.9%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:138:0 loop [73] 53.9% map [68] 46.1% -------------------------------------------------------------------- run-iter! [13] 100.0% [17] 5308(17.3%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:155:0 for-loop [24] 100.0% -------------------------------------------------------------------- loop [14] 100.0% [18] 4846(15.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:141:4 map [68] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [19] 4050(13.2%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:169:0 ??? [23] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [20] 682(2.2%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [58] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [21] 666(2.2%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:129:0 for-loop [25] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [22] 324(1.1%) 0(0.0%) choose-best-alt! ...develop/src/mainloop.rkt:115:0 ??? [23] 100.0% -------------------------------------------------------------------- debug7 [41] 5.6% choose-best-alt! [22] 6.1% match-e [50] 12.5% finalize-iter! [19] 75.8% [23] 5342(17.4%) 968(3.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 75.8% ??? [28] 6.1% -------------------------------------------------------------------- simplify! [17] 100.0% [24] 5308(17.3%) 334(1.1%) for-loop .../herbie/develop/src/mainloop.rkt:159:6 ??? [8] 93.7% -------------------------------------------------------------------- gen-series! [21] 100.0% [25] 666(2.2%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:135:7 taylor-alt [27] 100.0% -------------------------------------------------------------------- ??? [23] 100.0% [26] 4050(13.2%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [29] 100.0% -------------------------------------------------------------------- for-loop [25] 100.0% [27] 666(2.2%) 0(0.0%) taylor-alt ...es/herbie/develop/src/glue.rkt:139:0 for-loop [30] 100.0% -------------------------------------------------------------------- ??? [23] 100.0% [28] 324(1.1%) 0(0.0%) ??? .../herbie/develop/src/core/alt-table.rkt:54:0 ??? [32] 100.0% -------------------------------------------------------------------- for-loop [26] 100.0% [29] 4050(13.2%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:208:0 best-and-tied-at-points [31]100.0% -------------------------------------------------------------------- taylor-alt [27] 100.0% [30] 666(2.2%) 0(0.0%) for-loop ...lies/herbie/develop/src/glue.rkt:141:2 ??? [32] 100.0% -------------------------------------------------------------------- atab-add-altn [29] 100.0% [31] 4050(13.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [75] 100.0% -------------------------------------------------------------------- loop [6] 4.8% ??? [33] 12.0% for-loop [30] 12.0% ??? [28] 14.1% f6 [65] 57.1% [32] 2306(7.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:342:33 ??? [33] 69.1% best-alt [34] 14.1% simplify [60] 7.2% approximate9 [3] 4.8% hash-ref! [58] 4.8% -------------------------------------------------------------------- ??? [33] 12.9% ??? [32] 25.3% for-loop [36] 26.0% ??? [8] 35.8% [33] 6956(22.7%) 652(2.1%) ??? ...llects/racket/private/norm-define.rkt:53:83 iterate-egraph!13 [35] 31.1% for-loop [36] 26.0% ??? [33] 12.9% ??? [32] 6.4% ??? [37] 5.1% dict? [40] 4.4% loop [38] 2.5% debug7 [41] 2.2% -------------------------------------------------------------------- ??? [32] 100.0% [34] 324(1.1%) 0(0.0%) best-alt ...tlies/herbie/develop/src/glue.rkt:76:0 argmins [39] 100.0% -------------------------------------------------------------------- ??? [33] 100.0% [35] 4330(14.1%) 0(0.0%) iterate-egraph!13 ...p/src/core/simplify.rkt:102:0 one-iter [42] 100.0% -------------------------------------------------------------------- ??? [33] 100.0% [36] 3624(11.8%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:63:12 ??? [33] 100.0% -------------------------------------------------------------------- ??? [33] 100.0% [37] 358(1.2%) 358(1.2%) ??? ...ects/racket/contract/private/list.rkt:737:4 -------------------------------------------------------------------- ??? [33] 100.0% [38] 344(1.1%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:210:2 pass [44] 100.0% -------------------------------------------------------------------- best-alt [34] 100.0% [39] 324(1.1%) 0(0.0%) argmins ...ies/herbie/develop/src/common.rkt:141:0 composed [43] 100.0% -------------------------------------------------------------------- ??? [33] 100.0% [40] 306(1.0%) 306(1.0%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------- ??? [33] 100.0% [41] 300(1.0%) 0(0.0%) debug7 ...tlies/herbie/develop/src/debug.rkt:102:0 ??? [23] 100.0% -------------------------------------------------------------------- iterate-egraph!13 [35] 100.0% [42] 4330(14.1%) 632(2.1%) one-iter ...ie/develop/src/core/simplify.rkt:113:0 for-loop [45] 69.9% loop [46] 15.5% -------------------------------------------------------------------- argmins [39] 49.4% f6 [65] 50.6% [43] 656(2.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [65] 50.6% errors [75] 49.4% -------------------------------------------------------------------- loop [38] 100.0% [44] 344(1.1%) 0(0.0%) pass ...herbie/develop/src/core/simplify.rkt:200:2 for-loop [47] 100.0% -------------------------------------------------------------------- for-loop [45] 50.0% one-iter [42] 50.0% [45] 3028(9.9%) 360(1.2%) for-loop ...e/develop/src/core/simplify.rkt:123:12 for-loop [45] 50.0% match-e [50] 44.1% -------------------------------------------------------------------- one-iter [42] 100.0% [46] 670(2.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:52:19 apply-match [48] 100.0% -------------------------------------------------------------------- pass [44] 100.0% [47] 344(1.1%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:203:29 argmin [49] 100.0% -------------------------------------------------------------------- loop [46] 100.0% [48] 670(2.2%) 0(0.0%) apply-match ...develop/src/core/simplify.rkt:129:2 merge-egraph-nodes! [52] 50.1% match-e [50] 49.9% -------------------------------------------------------------------- for-loop [47] 100.0% [49] 344(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [51] 100.0% -------------------------------------------------------------------- apply-match [48] 3.7% for-loop [53] 23.8% for-loop [45] 72.5% [50] 3002(9.8%) 1346(4.4%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [53] 23.8% for-loop [54] 16.4% custom-in-set [57] 11.1% ??? [23] 9.3% -------------------------------------------------------------------- argmin [49] 100.0% [51] 344(1.1%) 0(0.0%) expression-cost .../develop/src/programs.rkt:199:0 compile [55] 100.0% -------------------------------------------------------------------- apply-match [48] 100.0% [52] 336(1.1%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:152:0 update-leader! [56] 100.0% -------------------------------------------------------------------- match-e [50] 100.0% [53] 1320(4.3%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:65:37 match-e [50] 100.0% -------------------------------------------------------------------- match-e [50] 100.0% [54] 654(2.1%) 654(2.1%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 -------------------------------------------------------------------- expression-cost [51] 100.0% [55] 344(1.1%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:176:0 hash-ref! [58] 100.0% -------------------------------------------------------------------- merge-egraph-nodes! [52] 100.0% [56] 336(1.1%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:217:0 for-loop [59] 100.0% -------------------------------------------------------------------- match-e [50] 100.0% [57] 334(1.1%) 334(1.1%) custom-in-set ...acket/private/set-types.rkt:577:0 -------------------------------------------------------------------- eval-prog [81] 6.0% for-loop [7] 6.7% ??? [63] 6.7% ??? [32] 6.7% compile [55] 6.9% ??? [4] 9.9% loop [73] 11.9% ??? [61] 13.9% localize-error [20] 31.4% [58] 1654(5.4%) 344(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [71] 31.4% ??? [61] 25.8% f6 [65] 9.9% ??? [63] 6.7% ??? [2] 6.7% simplify [60] 6.7% bigfloat-hash [64] 6.0% -------------------------------------------------------------------- update-leader! [56] 100.0% [59] 336(1.1%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:222:6 for-loop [62] 100.0% -------------------------------------------------------------------- hash-ref! [58] 49.8% ??? [32] 50.2% [60] 666(2.2%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:15:0 f6 [65] 100.0% -------------------------------------------------------------------- hash-ref! [58] 100.0% [61] 640(2.1%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:184:5 hash-ref! [58] 53.8% loop [73] 46.2% -------------------------------------------------------------------- for-loop [59] 100.0% [62] 336(1.1%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% -------------------------------------------------------------------- hash-ref! [58] 100.0% [63] 332(1.1%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [58] 100.0% -------------------------------------------------------------------- hash-ref! [58] 100.0% [64] 296(1.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [67] 100.0% -------------------------------------------------------------------- composed [43] 0.6% parse-loop12 [71] 0.6% simplify [60] 1.8% hash-ref! [58] 5.7% eval-prog [81] 6.9% map [68] 7.9% f6 [65] 11.3% split-table [15] 64.4% [65] 5696(18.6%) 332(1.1%) f6 ...et/collects/racket/match/compiler.rkt:507:40 loop [73] 32.9% option-on-expr [74] 31.6% map [68] 14.3% f6 [65] 11.3% ??? [32] 6.9% combine-mterms [70] 1.2% composed [43] 0.6% -------------------------------------------------------------------- for-loop [62] 100.0% [66] 336(1.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% -------------------------------------------------------------------- bigfloat-hash [64] 100.0% [67] 296(1.0%) 296(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------- f6 [65] 9.5% make-exacts* [16] 44.3% loop [18] 46.2% [68] 10482(34.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:20:13 loop [73] 93.6% f6 [65] 5.8% parse-loop12 [71] 0.5% -------------------------------------------------------------------- hash-update! [66] 100.0% [69] 336(1.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:225:24 for-loop [72] 100.0% -------------------------------------------------------------------- f6 [65] 100.0% [70] 334(1.1%) 334(1.1%) combine-mterms ...evelop/src/core/reduce.rkt:180:0 -------------------------------------------------------------------- map [68] 32.7% hash-ref! [58] 67.3% [71] 1014(3.3%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:418:15 loop [73] 67.3% f6 [65] 32.7% -------------------------------------------------------------------- ??? [69] 100.0% [72] 336(1.1%) 336(1.1%) for-loop ...bie/develop/src/core/egraph.rkt:226:26 -------------------------------------------------------------------- parse-loop12 [71] 0.1% make-exacts* [16] 0.3% map [68] 0.7% ??? [61] 1.6% f6 [65] 13.0% loop [73] 84.3% [73] 18270(59.7%) 356(1.2%) loop ...cket/collects/racket/private/map.rkt:25:19 loop [73] 84.3% option-on-expr [74] 13.0% hash-ref! [58] 1.6% ??? [88] 0.8% ->flonum [89] 0.1% ??? [4] 0.1% ??? [95] 0.1% -------------------------------------------------------------------- f6 [65] 45.7% loop [73] 54.3% [74] 4376(14.3%) 0(0.0%) option-on-expr ...evelop/src/core/regimes.rkt:92:0 pick-errors [76] 69.7% sort-context-on-expr [77] 22.7% errors [75] 7.6% -------------------------------------------------------------------- composed [43] 6.9% option-on-expr [74] 7.1% best-and-tied-at-points [31] 86.0% [75] 4708(15.4%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:218:0 for-loop [78] 93.0% eval-prog [81] 7.0% -------------------------------------------------------------------- option-on-expr [74] 100.0% [76] 3050(10.0%) 0(0.0%) pick-errors .../develop/src/core/regimes.rkt:160:0 for-loop [79] 100.0% -------------------------------------------------------------------- option-on-expr [74] 100.0% [77] 992(3.2%) 0(0.0%) sort-context-on-expr ...velop/src/points.rkt:115:0 ??? [80] 100.0% -------------------------------------------------------------------- errors [75] 100.0% [78] 4380(14.3%) 1018(3.3%) for-loop ...es/herbie/develop/src/points.rkt:221:4 ??? [88] 61.7% ->flonum [89] 7.7% ulp-difference [83] 7.4% -------------------------------------------------------------------- pick-errors [76] 100.0% [79] 3050(10.0%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:163:6 eval-prog [81] 100.0% -------------------------------------------------------------------- sort-context-on-expr [77] 100.0% [80] 992(3.2%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:403:3 generic-sort/key [82] 66.9% loop [86] 33.1% -------------------------------------------------------------------- loop [14] 8.1% errors [75] 8.9% for-loop [79] 83.0% [81] 3674(12.0%) 1728(5.6%) eval-prog ...herbie/develop/src/programs.rkt:149:0 f6 [65] 35.8% go [85] 9.1% hash-ref! [58] 8.1% -------------------------------------------------------------------- ??? [80] 100.0% [82] 664(2.2%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:185:2 copying-mergesort [84] 50.6% loop [86] 49.4% -------------------------------------------------------------------- for-loop [78] 100.0% [83] 324(1.1%) 0(0.0%) ulp-difference ...erbie/develop/src/float.rkt:19:0 ??? [92] 100.0% -------------------------------------------------------------------- copying-mergesort [84] 50.0% generic-sort/key [82] 50.0% [84] 336(1.1%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:130:8 copying-mergesort [84] 50.0% loop [86] 50.0% -------------------------------------------------------------------- eval-prog [81] 100.0% [85] 334(1.1%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [87] 100.0% -------------------------------------------------------------------- ??? [80] 33.1% generic-sort/key [82] 33.1% copying-mergesort [84] 33.9% [86] 992(3.2%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:97:12 ->flonum [89] 66.1% ??? [88] 33.9% -------------------------------------------------------------------- loop [87] 50.0% go [85] 50.0% [87] 334(1.1%) 334(1.1%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [87] 50.0% -------------------------------------------------------------------- loop [86] 1.9% for-loop [78] 15.7% loop [73] 82.4% [88] 17240(56.3%) 358(1.2%) ??? ...tlies/herbie/develop/src/programs.rkt:155:4 ??? [90] 89.8% ??? [91] 6.3% ??? [93] 1.8% -------------------------------------------------------------------- for-loop [78] 19.7% loop [86] 38.4% loop [73] 41.9% [89] 1708(5.6%) 696(2.3%) ->flonum ...s/herbie/develop/src/programs.rkt:37:0 return/no-unsupplied [100] 38.9% ??? [92] 20.4% -------------------------------------------------------------------- ??? [88] 100.0% [90] 15484(50.6%) 2738(8.9%) ??? ...acket/collects/racket/private/kw.rkt:444:14 ??? [94] 71.5% ??? [95] 10.9% -------------------------------------------------------------------- ??? [88] 100.0% [91] 1086(3.5%) 0(0.0%) ??? ...contract/private/../../private/kw.rkt:761:9 real->bigfloat [96] 100.0% -------------------------------------------------------------------- ulp-difference [83] 48.2% ->flonum [89] 51.8% [92] 672(2.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:761:9 ??? [98] 51.8% ??? [97] 48.2% -------------------------------------------------------------------- ??? [88] 100.0% [93] 312(1.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:145:21 ??? [97] 100.0% -------------------------------------------------------------------- ??? [90] 100.0% [94] 11064(36.1%) 6806(22.2%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [99] 31.7% bfexp [101] 6.8% -------------------------------------------------------------------- loop [73] 16.2% ??? [90] 83.8% [95] 2008(6.6%) 1674(5.5%) ??? ...herbie/develop/src/syntax/syntax.rkt:118:17 return/no-unsupplied [100] 16.6% -------------------------------------------------------------------- ??? [91] 100.0% [96] 1086(3.5%) 758(2.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [102] 30.2% -------------------------------------------------------------------- ??? [93] 49.1% ??? [92] 50.9% [97] 636(2.1%) 636(2.1%) ??? ...ects/racket/contract/private/guts.rkt:644:8 -------------------------------------------------------------------- ??? [92] 100.0% [98] 348(1.1%) 348(1.1%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------- ??? [94] 100.0% [99] 3508(11.5%) 3158(10.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 10.0% -------------------------------------------------------------------- ??? [95] 33.5% ->flonum [89] 66.5% [100] 998(3.3%) 998(3.3%) return/no-unsupplied ...ct/private/arr-i.rkt:533:0 -------------------------------------------------------------------- ??? [94] 100.0% [101] 750(2.4%) 750(2.4%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 -------------------------------------------------------------------- real->bigfloat [96] 48.4% bfdiv [99] 51.6% [102] 678(2.2%) 678(2.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------