Profiling results ----------------- Total cpu time observed: 16558ms (out of 16916ms) Number of samples taken: 69 (once every 240ms) (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 =================================================================== ??? [34] 100.0% [1] 15898(96.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------- ??? [34] 100.0% [2] 9964(60.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [9] 54.0% for-loop [10] 43.8% get-final-combination [14] 2.2% ------------------------------------------------------------------- loop [80] 6.5% ??? [34] 93.5% [3] 3386(20.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 57.4% iterate-egraph!5 [17] 23.7% for-loop [12] 18.9% ------------------------------------------------------------------- loop [80] 100.0% [4] 1826(11.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ------------------------------------------------------------------- hash-ref! [66] 100.0% [5] 1028(6.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [13] 61.5% hash-ref! [66] 38.5% ------------------------------------------------------------------- loop [80] 45.5% map [59] 54.5% [6] 404(2.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [66] 54.5% map [59] 45.5% ------------------------------------------------------------------- hash-ref! [66] 100.0% [7] 202(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 15898(96.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 5384(32.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [16] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 4360(26.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ------------------------------------------------------------------- completely-simplify-alt [4] 48.5% simplify [3] 51.5% [11] 3768(22.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------- simplify [3] 100.0% [12] 640(3.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------- ??? [5] 100.0% [13] 632(3.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [66] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 220(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ------------------------------------------------------------------- ??? [7] 100.0% [15] 202(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [20] 100.0% ------------------------------------------------------------------- finalize-table! [9] 100.0% [16] 5384(32.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [23] 49.7% loop [80] 38.0% ??? [31] 12.3% ------------------------------------------------------------------- for-loop [12] 12.3% simplify [3] 15.4% simplify-expr [11] 72.3% [17] 5212(31.5%) 202(1.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 84.6% map-enodes [25] 11.6% ------------------------------------------------------------------- for-loop [10] 100.0% [18] 4360(26.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 72.6% finalize-iter! [24] 14.1% gen-series! [27] 9.0% localize-error [26] 4.2% ------------------------------------------------------------------- get-final-combination [14] 100.0% [19] 220(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ------------------------------------------------------------------- for-loop [15] 100.0% [20] 202(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [66] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [21] 4408(26.6%) 238(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 61.0% loop [32] 24.5% apply-match [36] 9.1% ------------------------------------------------------------------- run-iter! [18] 100.0% [22] 3166(19.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ------------------------------------------------------------------- post-process [16] 100.0% [23] 2678(16.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [30] 100.0% ------------------------------------------------------------------- run-iter! [18] 100.0% [24] 616(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [25] 602(3.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [80] 100.0% ------------------------------------------------------------------- run-iter! [18] 45.5% loop [80] 54.5% [26] 404(2.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [66] 100.0% ------------------------------------------------------------------- run-iter! [18] 100.0% [27] 394(2.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ------------------------------------------------------------------- simplify! [22] 100.0% [28] 3166(19.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ------------------------------------------------------------------- for-loop [29] 50.0% one-iter [21] 50.0% [29] 2688(16.2%) 822(5.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [41] 34.7% ------------------------------------------------------------------- f16 [81] 5.0% for-loop [23] 95.0% [30] 2678(16.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 77.5% loop [80] 17.5% f16 [81] 5.0% ------------------------------------------------------------------- finalize-iter! [24] 48.3% post-process [16] 51.7% [31] 1276(7.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 82.6% atab-add-altns [38] 17.4% ------------------------------------------------------------------- one-iter [21] 100.0% [32] 1082(6.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ------------------------------------------------------------------- gen-series! [27] 100.0% [33] 394(2.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ------------------------------------------------------------------- for-loop [28] 6.8% run [8] 45.3% [34] 16558(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.3% run-improve58 [2] 28.0% loop [39] 19.9% simplify [3] 6.8% ------------------------------------------------------------------- for-loop [33] 12.8% loop [80] 19.6% append-map [30] 67.6% [35] 3072(18.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ------------------------------------------------------------------- one-iter [21] 27.0% loop [32] 73.0% [36] 1482(9.0%) 240(1.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [41] 55.5% substitute-e [43] 14.8% for-loop [44] 13.5% ------------------------------------------------------------------- ??? [31] 100.0% [37] 1054(6.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ------------------------------------------------------------------- ??? [31] 100.0% [38] 222(1.3%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [42] 100.0% ------------------------------------------------------------------- ??? [34] 100.0% [39] 6594(39.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [45] 56.4% make-exacts* [53] 43.6% ------------------------------------------------------------------- taylor-alt [35] 100.0% [40] 3072(18.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ------------------------------------------------------------------- for-loop [57] 16.6% apply-match [36] 17.7% for-loop [29] 65.7% [41] 2688(16.2%) 2066(12.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [48] 18.4% for-loop [57] 13.9% list-cartesian-product [50] 3.7% ------------------------------------------------------------------- atab-add-altns [38] 17.4% for-loop [37] 82.6% [42] 1276(7.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 84.3% override-at-pnts [52] 15.7% ------------------------------------------------------------------- apply-match [36] 100.0% [43] 220(1.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [49] 100.0% ------------------------------------------------------------------- apply-match [36] 100.0% [44] 200(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [51] 100.0% ------------------------------------------------------------------- loop [39] 100.0% [45] 3718(22.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [53] 66.0% loop [56] 34.0% ------------------------------------------------------------------- location-do [46] 36.7% for-loop [40] 63.3% [46] 3072(18.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 63.3% location-do [46] 36.7% ------------------------------------------------------------------- atab-add-altn [42] 100.0% [47] 1076(6.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 100.0% ------------------------------------------------------------------- match-e [41] 100.0% [48] 642(3.9%) 202(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 68.5% ------------------------------------------------------------------- substitute-e [43] 100.0% [49] 220(1.3%) 220(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------- list-cartesian-product [50] 50.0% match-e [41] 50.0% [50] 200(1.2%) 200(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [50] 50.0% ------------------------------------------------------------------- for-loop [44] 100.0% [51] 200(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [58] 100.0% ------------------------------------------------------------------- atab-add-altn [42] 100.0% [52] 200(1.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [55] 100.0% ------------------------------------------------------------------- loop [45] 46.0% loop [39] 54.0% [53] 5330(32.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [80] 58.1% map [59] 37.7% eval-prog [61] 4.2% ------------------------------------------------------------------- location-do [46] 100.0% [54] 3072(18.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [60] 79.8% taylor-quotient [63] 7.2% f16 [81] 6.5% debug-print [65] 6.4% ------------------------------------------------------------------- override-at-pnts [52] 15.7% best-and-tied-at-points [47] 84.3% [55] 1276(7.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [61] 51.1% for-loop [62] 48.9% ------------------------------------------------------------------- loop [45] 100.0% [56] 1264(7.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ------------------------------------------------------------------- for-loop [48] 31.7% match-e [41] 68.3% [57] 1040(6.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 78.8% ??? [64] 21.2% ------------------------------------------------------------------- merge-egraph-nodes! [51] 100.0% [58] 200(1.2%) 200(1.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------- ??? [6] 3.3% loop [56] 23.0% make-exacts* [53] 36.6% f16 [81] 37.1% [59] 5500(33.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 60.9% f16 [81] 28.1% parse-loop12 [78] 3.8% ->flonum [84] 3.3% ??? [6] 2.7% ??? [71] 1.2% ------------------------------------------------------------------- approximate9 [54] 100.0% [60] 2452(14.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [66] 100.0% ------------------------------------------------------------------- make-exacts* [53] 25.4% errors [55] 74.6% [61] 874(5.3%) 430(2.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [66] 25.4% go [67] 25.4% ------------------------------------------------------------------- errors [55] 100.0% [62] 624(3.8%) 222(1.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [68] 32.4% ??? [69] 32.1% ------------------------------------------------------------------- approximate9 [54] 100.0% [63] 222(1.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [72] 100.0% ------------------------------------------------------------------- for-loop [57] 100.0% [64] 220(1.3%) 220(1.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------- approximate9 [54] 100.0% [65] 198(1.2%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [70] 100.0% ------------------------------------------------------------------- for-loop [20] 1.5% ??? [5] 3.5% ??? [6] 4.5% for-loop [13] 4.8% eval-prog [61] 6.8% localize-error [26] 7.9% taylor-sqrt [85] 8.1% ??? [74] 17.0% ??? [73] 17.3% loop [60] 28.6% [66] 3278(19.8%) 222(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [72] 31.3% ??? [73] 17.3% ??? [74] 17.0% ??? [5] 8.4% bigfloat-hash [76] 6.8% f16 [81] 6.7% parse-loop12 [78] 5.6% taylor-sqrt [85] 2.0% ??? [7] 1.5% ------------------------------------------------------------------- eval-prog [61] 100.0% [67] 222(1.3%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [75] 100.0% ------------------------------------------------------------------- for-loop [62] 100.0% [68] 202(1.2%) 202(1.2%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ------------------------------------------------------------------- for-loop [62] 100.0% [69] 200(1.2%) 200(1.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------- debug-print [65] 100.0% [70] 198(1.2%) 198(1.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------- map [59] 100.0% [71] 194(1.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [77] 100.0% ------------------------------------------------------------------- taylor-quotient [63] 8.4% hash-ref! [66] 91.6% [72] 2652(16.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [81] 68.6% parse-loop12 [78] 31.4% ------------------------------------------------------------------- hash-ref! [66] 100.0% [73] 1850(11.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [66] 100.0% ------------------------------------------------------------------- hash-ref! [66] 100.0% [74] 1828(11.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [66] 100.0% ------------------------------------------------------------------- go [67] 100.0% [75] 222(1.3%) 222(1.3%) loop ...llects/racket/private/qq-and-or.rkt:101:61 ------------------------------------------------------------------- hash-ref! [66] 100.0% [76] 222(1.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [79] 100.0% ------------------------------------------------------------------- ??? [71] 100.0% [77] 194(1.2%) 194(1.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------- loop [80] 6.3% hash-ref! [66] 10.2% parse-loop12 [78] 22.3% simplify [72] 22.8% map [59] 38.4% [78] 1810(10.9%) 1230(7.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [78] 22.3% f16 [81] 21.9% loop [80] 16.4% ------------------------------------------------------------------- bigfloat-hash [76] 100.0% [79] 222(1.3%) 222(1.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------- make-exacts* [53] 0.0% map [59] 0.7% map-enodes [25] 0.8% extract-alt [19] 1.1% post-process [16] 2.0% parse-loop12 [78] 3.4% append-map [30] 5.1% loop [80] 86.9% [80] 9856(59.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 86.9% taylor-alt [35] 5.1% parse-loop12 [78] 3.4% completely-simplify-alt [4] 1.9% simplify [3] 1.1% for-loop [83] 0.8% ??? [82] 0.7% localize-error [26] 0.1% bfcube [86] 0.1% ??? [6] 0.0% ->flonum [84] 0.0% ------------------------------------------------------------------- append-map [30] 3.0% parse-loop12 [78] 5.1% approximate9 [54] 8.9% hash-ref! [66] 9.8% simplify [72] 21.4% map [59] 50.2% [81] 2240(13.5%) 1228(7.4%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [59] 71.6% taylor-sqrt [85] 8.9% append-map [30] 3.0% ------------------------------------------------------------------- loop [80] 100.0% [82] 6112(36.9%) 766(4.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 55.6% real->bigfloat [88] 31.8% ------------------------------------------------------------------- loop [80] 100.0% [83] 602(3.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [89] 100.0% ------------------------------------------------------------------- map [59] 41.4% loop [80] 58.6% [84] 444(2.7%) 444(2.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ------------------------------------------------------------------- f16 [81] 50.0% hash-ref! [66] 50.0% [85] 400(2.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [66] 100.0% ------------------------------------------------------------------- loop [80] 100.0% [86] 220(1.3%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [90] 100.0% ------------------------------------------------------------------- ??? [82] 100.0% [87] 3400(20.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 100.0% ------------------------------------------------------------------- ??? [82] 100.0% [88] 1946(11.8%) 1946(11.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------- for-loop [83] 100.0% [89] 602(3.6%) 200(1.2%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [91] 33.6% expression-induct31 [92] 33.2% ------------------------------------------------------------------- bfcube [86] 100.0% [90] 220(1.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ------------------------------------------------------------------- eval-const-expr [89] 5.3% bf* [90] 5.8% ??? [87] 89.0% [91] 3822(23.1%) 2058(12.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 27.1% bflog [94] 12.7% ??? [95] 6.3% ------------------------------------------------------------------- eval-const-expr [89] 100.0% [92] 200(1.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [96] 100.0% ------------------------------------------------------------------- ??? [91] 100.0% [93] 1036(6.3%) 582(3.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 43.8% ------------------------------------------------------------------- ??? [91] 100.0% [94] 486(2.9%) 0(0.0%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 100.0% ------------------------------------------------------------------- ??? [91] 100.0% [95] 242(1.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 100.0% ------------------------------------------------------------------- inductor [96] 50.0% expression-induct31 [92] 50.0% [96] 200(1.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [96] 50.0% integer->bigfloat [99] 50.0% ------------------------------------------------------------------- bfmul [93] 48.3% bflog [94] 51.7% [97] 940(5.7%) 940(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- ??? [95] 100.0% [98] 242(1.5%) 242(1.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------- inductor [96] 100.0% [99] 200(1.2%) 200(1.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------