Profiling results ----------------- Total cpu time observed: 41602ms (out of 41964ms) Number of samples taken: 179 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 98 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [30] 100.0% [1] 40108(96.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [2] 11890(28.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 90.6% loop [35] 7.6% get-final-combination [11] 1.9% ----------------------------------------------------------------------- loop [82] 2.3% ??? [30] 97.7% [3] 9730(23.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 45.4% for-loop [10] 31.5% iterate-egraph!5 [15] 23.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [4] 220(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ----------------------------------------------------------------------- loop [82] 100.0% [5] 220(0.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [6] 200(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 40108(96.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 10768(25.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [9] 4422(10.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 3066(7.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 222(0.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 220(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [17] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 200(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [68] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [14] 10768(25.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 88.3% finalize-iter! [20] 3.9% gen-series! [21] 3.9% localize-error [22] 2.0% choose-best-alt! [24] 1.8% ----------------------------------------------------------------------- simplify [3] 23.0% for-loop [10] 31.5% simplify-expr [9] 45.4% [15] 9730(23.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 97.9% debug7 [23] 2.1% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [16] 222(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [82] 100.0% ----------------------------------------------------------------------- for-loop [12] 100.0% [17] 220(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [68] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [18] 9528(22.9%) 440(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 49.7% loop [27] 41.0% apply-match [31] 4.7% ----------------------------------------------------------------------- run-iter! [14] 100.0% [19] 9508(22.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [20] 422(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [21] 420(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 220(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [23] 202(0.5%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [24] 198(0.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [28] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [25] 9508(22.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [18] 50.0% [26] 4734(11.4%) 1244(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [36] 36.9% ----------------------------------------------------------------------- one-iter [18] 100.0% [27] 3910(9.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% ----------------------------------------------------------------------- choose-best-alt! [24] 24.1% debug7 [23] 24.6% finalize-iter! [20] 51.3% [28] 822(2.0%) 202(0.5%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 51.3% atab-pick-alt8 [34] 24.1% ----------------------------------------------------------------------- gen-series! [21] 100.0% [29] 420(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ----------------------------------------------------------------------- for-loop [25] 8.1% run [7] 44.8% [30] 41602(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.8% loop [35] 36.2% run-improve58 [2] 10.9% simplify [3] 8.1% ----------------------------------------------------------------------- one-iter [18] 10.2% loop [27] 89.8% [31] 4354(10.5%) 220(0.5%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [37] 55.8% match-e [36] 14.3% update-leader! [44] 10.6% mk-enode! [40] 5.1% for-loop [41] 4.6% loop! [54] 4.5% ----------------------------------------------------------------------- ??? [28] 100.0% [32] 422(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ----------------------------------------------------------------------- for-loop [29] 100.0% [33] 420(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ----------------------------------------------------------------------- ??? [28] 100.0% [34] 198(0.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [42] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.9% ??? [30] 97.1% [35] 30612(73.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [50] 55.1% loop [43] 42.7% loop [51] 2.2% ----------------------------------------------------------------------- apply-match [31] 12.5% for-loop [52] 21.8% for-loop [26] 65.8% [36] 4114(9.9%) 2368(5.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 27.7% for-loop [52] 18.2% loop [82] 4.9% list-cartesian-product [55] 2.7% ----------------------------------------------------------------------- merge-egraph-nodes! [37] 4.2% apply-match [31] 95.8% [37] 2428(5.8%) 242(0.6%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 53.7% loop! [54] 28.0% merge-egraph-nodes! [37] 4.2% for-loop [48] 4.2% ----------------------------------------------------------------------- for-loop [32] 100.0% [38] 422(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ----------------------------------------------------------------------- taylor-alt [33] 100.0% [39] 420(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ----------------------------------------------------------------------- apply-match [31] 100.0% [40] 222(0.5%) 222(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- apply-match [31] 100.0% [41] 200(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [54] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [34] 100.0% [42] 198(0.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [49] 100.0% ----------------------------------------------------------------------- loop [35] 100.0% [43] 13086(31.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 62.3% make-exacts* [50] 37.7% ----------------------------------------------------------------------- apply-match [31] 26.2% merge-egraph-nodes! [37] 73.8% [44] 1766(4.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 100.0% ----------------------------------------------------------------------- match-e [36] 100.0% [45] 1324(3.2%) 442(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [52] 41.8% list-cartesian-product [55] 33.2% ----------------------------------------------------------------------- atab-add-altn [38] 100.0% [46] 422(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [69] 52.6% for-loop [57] 47.4% ----------------------------------------------------------------------- for-loop [39] 42.1% location-do [47] 57.9% [47] 420(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [47] 57.9% approximate9 [56] 42.1% ----------------------------------------------------------------------- merge-egraph-nodes! [37] 100.0% [48] 202(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [54] 100.0% ----------------------------------------------------------------------- ??? [42] 100.0% [49] 198(0.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [58] 100.0% ----------------------------------------------------------------------- loop [43] 22.6% loop [35] 77.4% [50] 21794(52.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [77] 51.5% loop [82] 47.5% eval-prog [64] 1.0% ----------------------------------------------------------------------- loop [35] 7.5% loop [43] 92.5% [51] 8818(21.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [77] 100.0% ----------------------------------------------------------------------- for-loop [45] 34.3% match-e [36] 65.7% [52] 1938(4.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 88.6% ??? [63] 11.4% ----------------------------------------------------------------------- update-leader! [44] 100.0% [53] 1766(4.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [59] 100.0% ----------------------------------------------------------------------- for-loop [48] 5.3% apply-match [31] 7.7% for-loop [41] 7.8% merge-egraph-nodes! [37] 26.6% loop [82] 52.6% [54] 1280(3.1%) 440(1.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [82] 57.9% set [60] 24.9% ----------------------------------------------------------------------- match-e [36] 33.5% for-loop [45] 66.5% [55] 662(1.6%) 240(0.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [61] 63.7% ----------------------------------------------------------------------- location-do [47] 100.0% [56] 420(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [57] 200(0.5%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [65] 100.0% ----------------------------------------------------------------------- best-alt [49] 100.0% [58] 198(0.5%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [66] 100.0% ----------------------------------------------------------------------- for-loop [53] 100.0% [59] 1766(4.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ----------------------------------------------------------------------- loop! [54] 100.0% [60] 638(1.5%) 638(1.5%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- list-cartesian-product [55] 100.0% [61] 422(1.0%) 422(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- approximate9 [56] 100.0% [62] 420(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ----------------------------------------------------------------------- for-loop [52] 100.0% [63] 220(0.5%) 220(0.5%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- make-exacts* [50] 100.0% [64] 220(0.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [68] 100.0% ----------------------------------------------------------------------- for-loop [57] 100.0% [65] 200(0.5%) 200(0.5%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- argmins [58] 100.0% [66] 198(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [69] 100.0% ----------------------------------------------------------------------- for-loop [59] 100.0% [67] 1766(4.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ----------------------------------------------------------------------- for-loop [13] 7.8% ??? [17] 8.5% eval-prog [64] 8.5% ??? [5] 12.8% localize-error [22] 12.8% ??? [72] 16.3% loop [62] 16.3% loop [82] 17.1% [68] 860(2.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [75] 17.1% ??? [72] 16.3% simplify [73] 16.3% parse-loop12 [80] 12.8% f6 [76] 12.8% bigfloat-hash [74] 8.5% ??? [4] 8.5% ??? [6] 7.8% ----------------------------------------------------------------------- composed [66] 47.1% best-and-tied-at-points [46] 52.9% [69] 420(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [71] 100.0% ----------------------------------------------------------------------- hash-update! [67] 100.0% [70] 1766(4.2%) 220(0.5%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [78] 87.5% ----------------------------------------------------------------------- errors [69] 100.0% [71] 420(1.0%) 420(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- hash-ref! [68] 100.0% [72] 420(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [73] 420(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [80] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [74] 220(0.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [79] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [75] 220(0.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [82] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [76] 220(0.5%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [77] 100.0% ----------------------------------------------------------------------- parse-loop12 [80] 1.0% f6 [76] 1.1% loop [51] 43.1% make-exacts* [50] 54.8% [77] 20458(49.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [82] 99.0% parse-loop12 [80] 1.0% ----------------------------------------------------------------------- ??? [70] 100.0% [78] 1546(3.7%) 1304(3.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [81] 15.7% ----------------------------------------------------------------------- bigfloat-hash [74] 100.0% [79] 220(0.5%) 220(0.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- map [77] 15.6% parse-loop12 [80] 22.9% simplify [73] 27.1% hash-ref! [68] 34.4% [80] 640(1.5%) 420(1.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [82] 34.4% parse-loop12 [80] 22.9% map [77] 15.6% ----------------------------------------------------------------------- for-loop [78] 100.0% [81] 242(0.6%) 242(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- parse-loop12 [80] 0.1% make-exacts* [50] 0.1% match-e [36] 0.6% ??? [75] 0.7% extract-alt [16] 0.7% map [77] 0.8% loop! [54] 0.9% loop [82] 96.2% [82] 32536(78.2%) 404(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [82] 96.2% ??? [83] 0.8% loop! [54] 0.8% simplify [3] 0.7% hash-ref! [68] 0.7% ??? [5] 0.1% ??? [88] 0.1% ->flonum [84] 0.0% ----------------------------------------------------------------------- loop [82] 100.0% [83] 30154(72.5%) 220(0.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 96.2% real->bigfloat [86] 3.1% ----------------------------------------------------------------------- loop [82] 100.0% [84] 238(0.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [85] 28994(69.7%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 95.3% ...higher-order.rkt:373:33 [87] 3.1% ----------------------------------------------------------------------- ??? [83] 100.0% [86] 940(2.3%) 720(1.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 23.4% ----------------------------------------------------------------------- ??? [85] 100.0% [87] 896(2.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 75.2% ??? [92] 24.8% ----------------------------------------------------------------------- loop [82] 0.8% ??? [85] 97.6% [88] 28318(68.1%) 25108(60.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [90] 6.7% bfcos [91] 3.8% ??? [93] 0.8% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87]100.0% [89] 674(1.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ----------------------------------------------------------------------- ??? [88] 100.0% [90] 1884(4.5%) 1648(4.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 12.5% ----------------------------------------------------------------------- ??? [88] 100.0% [91] 1086(2.6%) 820(2.0%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 24.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 24.8% ??? [89] 75.2% [92] 896(2.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ----------------------------------------------------------------------- ->flonum [84] 17.3% ??? [88] 17.5% ??? [92] 65.2% [93] 1374(3.3%) 918(2.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 33.2% ----------------------------------------------------------------------- real->bigfloat [86] 30.5% bfmul [90] 32.7% bfcos [91] 36.8% [94] 722(1.7%) 722(1.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [93] 100.0% [95] 456(1.1%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 100.0% ----------------------------------------------------------------------- ??? [95] 100.0% [96] 456(1.1%) 456(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------