Profiling results ----------------- Total cpu time observed: 47610ms (out of 48108ms) Number of samples taken: 207 (once every 230ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 100 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [24] 100.0% [1] 47408(99.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [2] 16100(33.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 95.9% loop [28] 2.8% get-final-combination [10] 1.2% ----------------------------------------------------------------------- loop [69] 1.5% ??? [24] 98.5% [3] 13526(28.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 53.0% iterate-egraph!5 [12] 23.5% for-loop [8] 23.5% ----------------------------------------------------------------------- f6 [65] 100.0% [4] 232(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [9] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 47408(99.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 15444(32.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [7] 7168(15.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 3174(6.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 100.0% ----------------------------------------------------------------------- taylor-invert [4] 35.2% hash-ref! [62] 64.8% [9] 660(1.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [64] 69.7% f6 [65] 30.3% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 200(0.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ----------------------------------------------------------------------- for-loop [6] 100.0% [11] 15444(32.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 86.3% finalize-iter! [16] 6.5% gen-series! [17] 4.3% localize-error [18] 2.9% ----------------------------------------------------------------------- for-loop [8] 23.5% simplify [3] 23.5% simplify-expr [7] 53.0% [12] 13526(28.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 97.0% ----------------------------------------------------------------------- get-final-combination [10] 100.0% [13] 200(0.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% ----------------------------------------------------------------------- run-iter! [11] 100.0% [14] 13326(28.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [19] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [15] 13126(27.6%) 424(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [20] 56.2% loop [21] 34.2% apply-match [25] 6.4% ----------------------------------------------------------------------- run-iter! [11] 100.0% [16] 1006(2.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% ----------------------------------------------------------------------- run-iter! [11] 100.0% [17] 660(1.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ----------------------------------------------------------------------- run-iter! [11] 100.0% [18] 452(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify! [14] 100.0% [19] 13326(28.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% ----------------------------------------------------------------------- for-loop [20] 48.5% one-iter [15] 51.5% [20] 7376(15.5%) 2652(5.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [20] 48.5% match-e [29] 32.0% ----------------------------------------------------------------------- one-iter [15] 100.0% [21] 4492(9.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [25] 100.0% ----------------------------------------------------------------------- finalize-iter! [16] 100.0% [22] 1006(2.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 100.0% ----------------------------------------------------------------------- gen-series! [17] 100.0% [23] 660(1.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [27] 100.0% ----------------------------------------------------------------------- for-loop [19] 9.4% run [5] 45.2% [24] 47610(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.2% loop [28] 33.1% run-improve58 [2] 12.3% simplify [3] 9.4% ----------------------------------------------------------------------- one-iter [15] 15.7% loop [21] 84.3% [25] 5326(11.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 45.0% match-e [29] 23.7% for-loop [32] 11.6% loop! [75] 7.5% update-leader! [44] 4.2% mk-enode! [39] 4.1% substitute-e [33] 3.8% ----------------------------------------------------------------------- ??? [22] 100.0% [26] 1006(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ----------------------------------------------------------------------- for-loop [23] 100.0% [27] 660(1.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [31] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [24] 98.6% [28] 31966(67.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [42] 57.4% loop [34] 41.9% loop [43] 0.7% ----------------------------------------------------------------------- apply-match [25] 14.2% for-loop [45] 15.1% for-loop [20] 70.7% [29] 5988(12.6%) 4492(9.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [35] 28.6% list-cartesian-product [40] 5.1% for-loop [45] 4.7% ----------------------------------------------------------------------- for-loop [26] 100.0% [30] 1006(2.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [37] 79.9% override-at-pnts [41] 20.1% ----------------------------------------------------------------------- taylor-alt [27] 100.0% [31] 660(1.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ----------------------------------------------------------------------- apply-match [25] 100.0% [32] 620(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [75] 35.2% mk-enode! [39] 32.6% merge-egraph-nodes! [36] 32.3% ----------------------------------------------------------------------- apply-match [25] 100.0% [33] 202(0.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [39] 100.0% ----------------------------------------------------------------------- loop [28] 100.0% [34] 13386(28.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [43] 64.2% make-exacts* [42] 35.8% ----------------------------------------------------------------------- match-e [29] 100.0% [35] 2618(5.5%) 682(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [45] 66.2% loop [69] 7.7% ----------------------------------------------------------------------- for-loop [32] 7.7% apply-match [25] 92.3% [36] 2596(5.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 76.8% loop! [75] 7.8% for-loop [49] 7.7% enode-merge! [50] 7.7% ----------------------------------------------------------------------- atab-add-altn [30] 100.0% [37] 804(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [46] 100.0% ----------------------------------------------------------------------- location-do [38] 15.2% for-loop [31] 84.8% [38] 660(1.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [47] 84.8% location-do [38] 15.2% ----------------------------------------------------------------------- substitute-e [33] 32.4% for-loop [32] 32.4% apply-match [25] 35.3% [39] 624(1.3%) 624(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- list-cartesian-product [40] 50.0% match-e [29] 50.0% [40] 406(0.9%) 406(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [40] 50.0% ----------------------------------------------------------------------- atab-add-altn [30] 100.0% [41] 202(0.4%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 loop [48] 100.0% ----------------------------------------------------------------------- loop [34] 20.7% loop [28] 79.3% [42] 23156(48.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [69] 52.4% map [51] 46.6% eval-prog [54] 1.0% ----------------------------------------------------------------------- loop [28] 2.5% loop [34] 97.5% [43] 8810(18.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [51] 100.0% ----------------------------------------------------------------------- apply-match [25] 10.0% merge-egraph-nodes! [36] 90.0% [44] 2216(4.7%) 214(0.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [52] 90.3% ----------------------------------------------------------------------- match-e [29] 16.3% for-loop [35] 83.7% [45] 1940(4.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [29] 89.4% ??? [56] 10.6% ----------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [46] 804(1.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [53] 75.1% eval-prog [54] 24.9% ----------------------------------------------------------------------- location-do [38] 100.0% [47] 660(1.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [55] 64.8% f6 [65] 35.2% ----------------------------------------------------------------------- override-at-pnts [41] 100.0% [48] 202(0.4%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:106:2 loop [69] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [49] 200(0.4%) 200(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [50] 200(0.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [57] 100.0% ----------------------------------------------------------------------- f6 [65] 4.3% loop [43] 43.0% make-exacts* [42] 52.7% [51] 20474(43.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 97.3% ??? [59] 1.7% f6 [65] 0.7% parse-loop12 [64] 0.2% ----------------------------------------------------------------------- update-leader! [44] 100.0% [52] 2002(4.2%) 234(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [58] 88.3% ----------------------------------------------------------------------- errors [46] 100.0% [53] 604(1.3%) 202(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 66.6% ----------------------------------------------------------------------- errors [46] 45.5% make-exacts* [42] 54.5% [54] 440(0.9%) 200(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [62] 54.5% ----------------------------------------------------------------------- approximate9 [47] 100.0% [55] 428(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ----------------------------------------------------------------------- for-loop [45] 100.0% [56] 206(0.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [60] 100.0% ----------------------------------------------------------------------- enode-merge! [50] 100.0% [57] 200(0.4%) 200(0.4%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ----------------------------------------------------------------------- for-loop [52] 100.0% [58] 1768(3.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [61] 100.0% ----------------------------------------------------------------------- map [51] 44.7% loop [69] 55.3% [59] 684(1.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 66.1% f6 [65] 33.9% ----------------------------------------------------------------------- ??? [56] 100.0% [60] 206(0.4%) 206(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- for-loop [58] 100.0% [61] 1768(3.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [63] 100.0% ----------------------------------------------------------------------- ??? [68] 10.2% localize-error [18] 11.8% ??? [66] 14.0% loop [55] 14.0% eval-prog [54] 21.4% ??? [59] 28.6% [62] 1120(2.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [64] 23.6% bigfloat-hash [67] 21.4% f6 [65] 16.8% ??? [66] 14.0% simplify [9] 14.0% ??? [68] 10.2% ----------------------------------------------------------------------- hash-update! [61] 100.0% [63] 1768(3.7%) 222(0.5%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [70] 87.4% ----------------------------------------------------------------------- map [51] 18.0% hash-ref! [62] 40.6% simplify [9] 41.4% [64] 1112(2.3%) 232(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [69] 40.6% parse-app [72] 20.5% ??? [73] 18.0% ----------------------------------------------------------------------- simplify [9] 5.7% ??? [59] 8.7% f6 [65] 8.7% approximate9 [47] 8.7% map [51] 17.0% hash-ref! [62] 51.1% [65] 884(1.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [51] 82.5% f6 [65] 8.7% taylor-invert [4] 8.7% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [66] 428(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [67] 240(0.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [71] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [68] 228(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [62] 100.0% ----------------------------------------------------------------------- make-exacts* [42] 0.1% parse-loop12 [64] 0.3% extract-alt [13] 0.3% loop [48] 0.6% for-loop [35] 0.6% loop! [75] 0.6% map [51] 1.7% loop [69] 95.8% [69] 33604(70.6%) 202(0.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 95.8% ??? [74] 1.6% loop! [75] 0.6% foldl [76] 0.6% simplify [3] 0.3% ??? [59] 0.3% ??? [88] 0.1% set-precompute! [77] 0.1% ----------------------------------------------------------------------- ??? [63] 100.0% [70] 1546(3.2%) 1326(2.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [80] 14.2% ----------------------------------------------------------------------- bigfloat-hash [67] 100.0% [71] 240(0.5%) 240(0.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- parse-loop12 [64] 100.0% [72] 228(0.5%) 228(0.5%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- parse-loop12 [64] 100.0% [73] 200(0.4%) 200(0.4%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 ----------------------------------------------------------------------- for-loop [53] 1.3% loop [69] 98.7% [74] 32128(67.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 98.4% real->bigfloat [79] 1.6% ----------------------------------------------------------------------- merge-egraph-nodes! [36] 12.3% for-loop [32] 13.3% apply-match [25] 36.7% loop [69] 37.7% [75] 822(1.7%) 218(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [69] 37.7% custom-set-union [84] 24.6% set [83] 12.3% update-en-expr [80] 12.2% ----------------------------------------------------------------------- loop [69] 100.0% [76] 202(0.4%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [81] 100.0% ----------------------------------------------------------------------- loop [69] 100.0% [77] 202(0.4%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [82] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [78] 31616(66.4%) 200(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 91.4% bf* [85] 5.1% ...higher-order.rkt:373:33 [86] 2.3% ----------------------------------------------------------------------- ??? [74] 100.0% [79] 512(1.1%) 512(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- loop! [75] 47.6% for-loop [70] 52.4% [80] 420(0.9%) 420(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- foldl [76] 100.0% [81] 202(0.4%) 202(0.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- set-precompute! [77] 100.0% [82] 202(0.4%) 202(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- loop! [75] 100.0% [83] 202(0.4%) 202(0.4%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- loop! [75] 100.0% [84] 202(0.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [87] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [85] 1614(3.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [88] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [86] 718(1.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 66.9% ??? [90] 33.1% ----------------------------------------------------------------------- custom-set-union [84] 100.0% [87] 202(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [91] 100.0% ----------------------------------------------------------------------- loop [69] 1.5% bf* [85] 5.2% ??? [78] 93.3% [88] 30948(65.0%) 26716(56.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [92] 7.7% bfcos [94] 3.0% ??? [93] 2.9% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [86]100.0% [89] 480(1.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [86]100.0% [90] 238(0.5%) 238(0.5%) ??? ...cts/racket/contract/private/list.rkt:187:10 ----------------------------------------------------------------------- for-loop [87] 100.0% [91] 202(0.4%) 202(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- ??? [88] 100.0% [92] 2386(5.0%) 1468(3.1%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 38.5% ----------------------------------------------------------------------- ??? [89] 34.5% ??? [88] 65.5% [93] 1392(2.9%) 714(1.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 48.7% ----------------------------------------------------------------------- ??? [88] 100.0% [94] 934(2.0%) 696(1.5%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 25.5% ----------------------------------------------------------------------- bfcos [94] 20.6% bfdiv [92] 79.4% [95] 1156(2.4%) 1156(2.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [93] 100.0% [96] 678(1.4%) 478(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 29.5% ----------------------------------------------------------------------- ??? [96] 100.0% [97] 200(0.4%) 200(0.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------