Profiling results ----------------- Total cpu time observed: 43600ms (out of 44292ms) Number of samples taken: 184 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 92 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [26] 100.0% [1] 42776(98.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [2] 7232(16.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 75.6% loop [32] 13.1% get-final-combination [8] 11.2% ---------------------------------------------------------------------- loop [57] 16.0% ??? [26] 84.0% [3] 3814(8.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [11] 58.0% simplify-expr [7] 31.5% for-loop [9] 10.4% ---------------------------------------------------------------------- f6 [77] 100.0% [4] 200(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [70] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.5% [5] 43004(98.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 5470(12.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 1202(2.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 812(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 398(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [10] 5470(12.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 58.6% finalize-iter! [15] 18.7% gen-series! [16] 14.7% localize-error [17] 8.0% ---------------------------------------------------------------------- for-loop [9] 10.4% simplify-expr [7] 31.5% simplify [3] 58.0% [11] 3814(8.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [13] 94.8% map-enodes [19] 5.2% ---------------------------------------------------------------------- get-final-combination [8] 100.0% [12] 812(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [57] 75.1% loop [18] 24.9% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [13] 3614(8.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [21] 83.4% loop [24] 11.0% apply-match [30] 5.6% ---------------------------------------------------------------------- run-iter! [10] 100.0% [14] 3204(7.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [20] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 1024(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [16] 804(1.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [17] 438(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% ---------------------------------------------------------------------- extract-alt [12] 100.0% [18] 202(0.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [25] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [19] 200(0.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [57] 100.0% ---------------------------------------------------------------------- simplify! [14] 100.0% [20] 3204(7.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% ---------------------------------------------------------------------- for-loop [21] 46.7% one-iter [13] 53.3% [21] 3014(6.9%) 1210(2.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 46.7% match-e [27] 29.9% ---------------------------------------------------------------------- finalize-iter! [15] 100.0% [22] 1024(2.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 80.5% atab-add-altns [31] 19.5% ---------------------------------------------------------------------- gen-series! [16] 100.0% [23] 804(1.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [29] 100.0% ---------------------------------------------------------------------- one-iter [13] 100.0% [24] 398(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [30] 100.0% ---------------------------------------------------------------------- loop [18] 100.0% [25] 202(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [48] 100.0% ---------------------------------------------------------------------- for-loop [20] 2.5% run [5] 48.6% [26] 43390(99.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.1% loop [32] 42.1% run-improve58 [2] 7.4% simplify [3] 2.5% ---------------------------------------------------------------------- for-loop [38] 5.5% for-loop [21] 94.5% [27] 1804(4.1%) 1006(2.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [35] 38.7% for-loop [38] 5.5% ---------------------------------------------------------------------- ??? [22] 100.0% [28] 824(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [33] 100.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [29] 804(1.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ---------------------------------------------------------------------- one-iter [13] 33.7% loop [24] 66.3% [30] 600(1.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 66.3% substitute-e [37] 33.7% ---------------------------------------------------------------------- ??? [22] 100.0% [31] 200(0.5%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [33] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.6% ??? [26] 97.4% [32] 37108(85.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [39] 50.5% make-exacts* [46] 35.9% loop [47] 13.6% ---------------------------------------------------------------------- atab-add-altns [31] 19.5% for-loop [28] 80.5% [33] 1024(2.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% ---------------------------------------------------------------------- taylor-alt [29] 100.0% [34] 804(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% ---------------------------------------------------------------------- match-e [27] 100.0% [35] 798(1.8%) 400(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 foldl [44] 25.1% list-cartesian-product [45] 24.8% ---------------------------------------------------------------------- apply-match [30] 100.0% [36] 398(0.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [42] 100.0% ---------------------------------------------------------------------- apply-match [30] 100.0% [37] 202(0.5%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [43] 100.0% ---------------------------------------------------------------------- match-e [27] 100.0% [38] 200(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [27] 100.0% ---------------------------------------------------------------------- loop [32] 100.0% [39] 18754(43.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [47] 66.6% make-exacts* [46] 33.4% ---------------------------------------------------------------------- atab-add-altn [33] 100.0% [40] 1024(2.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [48] 100.0% ---------------------------------------------------------------------- for-loop [34] 43.8% location-do [41] 56.2% [41] 804(1.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [41] 56.2% approximate9 [49] 43.8% ---------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [42] 398(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [50] 100.0% ---------------------------------------------------------------------- substitute-e [37] 100.0% [43] 202(0.5%) 202(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- for-loop [35] 100.0% [44] 200(0.5%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [51] 100.0% ---------------------------------------------------------------------- list-cartesian-product [45] 50.0% for-loop [35] 50.0% [45] 198(0.5%) 198(0.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [45] 50.0% ---------------------------------------------------------------------- loop [39] 32.0% loop [32] 68.0% [46] 19582(44.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [57] 50.8% map [52] 49.2% ---------------------------------------------------------------------- loop [32] 28.7% loop [39] 71.3% [47] 17526(40.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ---------------------------------------------------------------------- composed [25] 16.5% best-and-tied-at-points [40] 83.5% [48] 1226(2.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [53] 83.5% eval-prog [56] 16.5% ---------------------------------------------------------------------- location-do [41] 100.0% [49] 804(1.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [54] 75.1% f6 [77] 24.9% ---------------------------------------------------------------------- update-leader! [42] 100.0% [50] 398(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [55] 100.0% ---------------------------------------------------------------------- foldl [44] 100.0% [51] 200(0.5%) 200(0.5%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- f6 [77] 3.0% make-exacts* [46] 34.4% loop [47] 62.6% [52] 27990(64.2%) 198(0.5%) map ...acket/collects/racket/private/map.rkt:21:13 loop [57] 93.9% ??? [59] 3.1% f6 [77] 1.2% ??? [60] 0.8% parse-loop12 [71] 0.7% ---------------------------------------------------------------------- errors [48] 100.0% [53] 1024(2.3%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [59] 80.5% ->flonum [83] 19.5% ---------------------------------------------------------------------- approximate9 [49] 100.0% [54] 604(1.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ---------------------------------------------------------------------- for-loop [50] 100.0% [55] 398(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [58] 100.0% ---------------------------------------------------------------------- errors [48] 100.0% [56] 202(0.5%) 202(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- ??? [73] 0.0% ??? [59] 0.1% map-enodes [19] 0.1% f6 [77] 0.5% parse-loop12 [71] 0.6% make-exacts* [46] 1.0% extract-alt [12] 1.0% map [52] 3.0% loop [57] 93.7% [57] 37686(86.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [57] 93.7% ??? [59] 3.9% simplify [3] 1.0% ??? [60] 0.6% simplify [70] 0.5% set-precompute! [62] 0.1% real->bigfloat [64] 0.0% ??? [81] 0.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [58] 398(0.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [61] 100.0% ---------------------------------------------------------------------- for-loop [53] 2.2% map [52] 2.3% loop [57] 95.5% [59] 37932(87.0%) 724(1.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [63] 80.9% real->bigfloat [64] 11.1% loop [57] 4.9% ??? [81] 1.2% ---------------------------------------------------------------------- map [52] 13.2% loop [57] 86.8% [60] 438(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [65] 100.0% ---------------------------------------------------------------------- hash-update! [58] 100.0% [61] 398(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [66] 100.0% ---------------------------------------------------------------------- loop [57] 100.0% [62] 200(0.5%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [67] 100.0% ---------------------------------------------------------------------- ??? [59] 100.0% [63] 30682(70.4%) 854(2.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [75] 68.8% bf* [68] 14.8% ...higher-order.rkt:373:33 [69] 12.3% ??? [88] 0.7% ---------------------------------------------------------------------- loop [57] 25.3% ??? [59] 74.7% [64] 5620(12.9%) 4730(10.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [87] 15.8% ---------------------------------------------------------------------- localize-error [17] 11.0% loop [84] 11.4% loop [54] 16.2% ??? [72] 30.4% ??? [60] 31.0% [65] 1042(2.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [71] 33.1% ??? [72] 30.4% f6 [77] 20.6% simplify [70] 11.4% ??? [73] 4.5% ---------------------------------------------------------------------- ??? [61] 100.0% [66] 398(0.9%) 398(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- set-precompute! [62] 100.0% [67] 200(0.5%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [74] 100.0% ---------------------------------------------------------------------- ??? [63] 100.0% [68] 4548(10.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [75] 100.0% ---------------------------------------------------------------------- ??? [63] 100.0% [69] 3786(8.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [76] 82.3% ??? [81] 17.7% ---------------------------------------------------------------------- loop [57] 24.6% taylor-invert [4] 24.9% hash-ref! [65] 50.5% [70] 804(1.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [77] 50.5% debug-print [78] 49.5% ---------------------------------------------------------------------- map [52] 32.2% hash-ref! [65] 67.8% [71] 646(1.5%) 208(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [57] 57.2% loop [79] 10.6% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [72] 604(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [73] 232(0.5%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 loop [57] 100.0% ---------------------------------------------------------------------- make-sequence [67] 100.0% [74] 200(0.5%) 200(0.5%) ??? ...acket/collects/racket/private/for.rkt:428:7 ---------------------------------------------------------------------- bf* [68] 17.7% ??? [63] 82.3% [75] 25666(58.9%) 12882(29.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [80] 30.4% bfexp [82] 10.0% ??? [86] 9.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [69]100.0% [76] 3116(7.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [81] 100.0% ---------------------------------------------------------------------- approximate9 [49] 6.4% simplify [70] 11.5% f6 [77] 13.1% map [52] 16.0% hash-ref! [65] 53.0% [77] 1036(2.4%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [52] 49.9% loop [57] 19.1% f6 [77] 13.1% loop [84] 11.5% taylor-invert [4] 6.4% ---------------------------------------------------------------------- simplify [70] 100.0% [78] 398(0.9%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [85] 100.0% ---------------------------------------------------------------------- parse-loop12 [71] 7.7% loop [79] 92.3% [79] 206(0.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [79] 92.3% ->flonum [83] 7.7% ---------------------------------------------------------------------- ??? [75] 100.0% [80] 7796(17.9%) 4132(9.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [87] 47.0% ---------------------------------------------------------------------- loop [57] 9.5% ??? [59] 9.9% ...higher-order.rkt:373:33 [69] 14.3% ??? [76] 66.3% [81] 4698(10.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 100.0% ---------------------------------------------------------------------- ??? [75] 100.0% [82] 2566(5.9%) 1424(3.3%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [87] 44.5% ---------------------------------------------------------------------- for-loop [53] 49.3% loop [79] 50.7% [83] 406(0.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [88] 100.0% ---------------------------------------------------------------------- f6 [77] 100.0% [84] 406(0.9%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [65] 100.0% ---------------------------------------------------------------------- debug-print [78] 100.0% [85] 398(0.9%) 398(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- ??? [75] 34.0% ??? [81] 66.0% [86] 7120(16.3%) 3596(8.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 49.5% ---------------------------------------------------------------------- real->bigfloat [64] 15.6% bfexp [82] 20.0% bfmul [80] 64.3% [87] 5696(13.1%) 5696(13.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [63] 33.2% ->flonum [83] 66.8% [88] 608(1.4%) 608(1.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [86] 100.0% [89] 3524(8.1%) 1328(3.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [90] 62.3% ---------------------------------------------------------------------- ??? [89] 100.0% [90] 2196(5.0%) 2196(5.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------