Profiling results ----------------- Total cpu time observed: 63272ms (out of 63736ms) Number of samples taken: 280 (once every 226ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 102 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [32] 100.0% [1] 62216(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [32] 100.0% [2] 14150(22.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 88.9% loop [37] 11.1% ------------------------------------------------------------------------ ??? [32] 100.0% [3] 9212(14.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [15] 49.4% for-loop [9] 28.5% simplify-expr [10] 22.1% ------------------------------------------------------------------------ hash-ref! [75] 100.0% [4] 1712(2.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [75] 100.0% [5] 636(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [13] 51.3% hash-ref! [75] 48.7% ------------------------------------------------------------------------ hash-ref! [75] 100.0% [6] 442(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [12] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.7% [7] 62428(98.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 12574(19.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 2630(4.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 2034(3.2%) 202(0.3%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 90.1% ------------------------------------------------------------------------ ??? [4] 100.0% [11] 1712(2.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [17] 38.0% hash-ref! [75] 37.5% simplify [16] 24.5% ------------------------------------------------------------------------ ??? [6] 100.0% [12] 442(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [16] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 434(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [75] 100.0% ------------------------------------------------------------------------ for-loop [8] 100.0% [14] 12574(19.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 73.3% gen-series! [20] 15.2% finalize-iter! [21] 8.1% localize-error [23] 3.4% ------------------------------------------------------------------------ simplify-expr [10] 20.3% for-loop [9] 29.2% simplify [3] 50.5% [15] 9010(14.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 93.3% map-enodes [22] 6.7% ------------------------------------------------------------------------ for-loop [11] 22.0% for-loop [12] 23.1% hash-ref! [75] 54.9% [16] 1912(3.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [57] 44.1% parse-loop12 [78] 34.0% debug7 [24] 11.4% debug-print [25] 10.5% ------------------------------------------------------------------------ for-loop [11] 100.0% [17] 650(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [75] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [18] 9212(14.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [19] 8408(13.3%) 404(0.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 64.0% loop [28] 28.8% apply-match [33] 2.4% ------------------------------------------------------------------------ run-iter! [14] 100.0% [20] 1912(3.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [21] 1024(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [22] 602(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [80] 66.8% for-loop [83] 33.2% ------------------------------------------------------------------------ run-iter! [14] 100.0% [23] 426(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [75] 100.0% ------------------------------------------------------------------------ simplify [16] 100.0% [24] 218(0.3%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [31] 100.0% ------------------------------------------------------------------------ simplify [16] 100.0% [25] 200(0.3%) 200(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------------ simplify! [18] 100.0% [26] 9212(14.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ------------------------------------------------------------------------ for-loop [27] 50.0% one-iter [19] 50.0% [27] 5380(8.5%) 604(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [38] 42.5% ??? [60] 1.9% ------------------------------------------------------------------------ one-iter [19] 100.0% [28] 2422(3.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ------------------------------------------------------------------------ gen-series! [20] 100.0% [29] 1912(3.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ------------------------------------------------------------------------ finalize-iter! [21] 100.0% [30] 1024(1.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 100.0% ------------------------------------------------------------------------ debug7 [24] 100.0% [31] 218(0.3%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [36] 100.0% ------------------------------------------------------------------------ for-loop [26] 5.0% run [7] 47.3% [32] 63050(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.0% loop [37] 38.9% run-improve58 [2] 9.1% simplify [3] 5.0% ------------------------------------------------------------------------ one-iter [19] 7.7% loop [28] 92.3% [33] 2624(4.1%) 202(0.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 46.6% match-e [38] 30.5% for-loop [41] 7.6% substitute-e [42] 7.5% ------------------------------------------------------------------------ for-loop [29] 100.0% [34] 1912(3.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [35] 1024(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ------------------------------------------------------------------------ ??? [31] 100.0% [36] 218(0.3%) 218(0.3%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------ run-improve58 [2] 3.1% ??? [32] 96.9% [37] 50476(79.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [48] 55.4% loop [43] 42.9% loop [49] 1.8% ------------------------------------------------------------------------ for-loop [51] 10.1% apply-match [33] 12.5% for-loop [27] 77.5% [38] 5374(8.5%) 2698(4.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 34.2% for-loop [51] 10.8% loop [80] 3.8% constant? [73] 1.9% ------------------------------------------------------------------------ taylor-alt [34] 100.0% [39] 1912(3.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ------------------------------------------------------------------------ for-loop [35] 100.0% [40] 1024(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% ------------------------------------------------------------------------ apply-match [33] 100.0% [41] 200(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [46] 100.0% ------------------------------------------------------------------------ apply-match [33] 33.3% substitute-e [42] 66.7% [42] 198(0.3%) 198(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [42] 66.7% ------------------------------------------------------------------------ loop [37] 100.0% [43] 21646(34.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 65.3% make-exacts* [48] 34.7% ------------------------------------------------------------------------ match-e [38] 100.0% [44] 2070(3.3%) 636(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 39.2% list-cartesian-product [54] 19.4% loop [80] 10.6% ------------------------------------------------------------------------ location-do [45] 36.3% for-loop [39] 63.7% [45] 1912(3.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [50] 63.7% location-do [45] 36.3% ------------------------------------------------------------------------ merge-egraph-nodes! [46] 7.0% for-loop [41] 14.0% apply-match [33] 78.9% [46] 1424(2.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [52] 71.9% for-loop [55] 14.0% merge-egraph-nodes! [46] 7.0% loop! [86] 7.0% ------------------------------------------------------------------------ atab-add-altn [40] 100.0% [47] 1024(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [53] 100.0% ------------------------------------------------------------------------ loop [43] 21.2% loop [37] 78.8% [48] 35452(56.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [80] 51.2% map [64] 48.8% ------------------------------------------------------------------------ loop [37] 5.9% loop [43] 94.1% [49] 15024(23.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 98.4% loop [80] 1.6% ------------------------------------------------------------------------ location-do [45] 100.0% [50] 1912(3.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [56] 77.4% taylor-quotient [61] 12.1% f6 [57] 10.5% ------------------------------------------------------------------------ for-loop [44] 43.6% match-e [38] 56.4% [51] 1636(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 62.2% ??? [60] 37.8% ------------------------------------------------------------------------ merge-egraph-nodes! [46] 100.0% [52] 1024(1.6%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [58] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [47] 100.0% [53] 1024(1.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [59] 80.3% eval-prog [63] 19.7% ------------------------------------------------------------------------ for-loop [44] 100.0% [54] 402(0.6%) 200(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [62] 50.2% ------------------------------------------------------------------------ merge-egraph-nodes! [46] 100.0% [55] 200(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [88] 100.0% ------------------------------------------------------------------------ approximate9 [50] 100.0% [56] 1480(2.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [75] 100.0% ------------------------------------------------------------------------ approximate9 [50] 3.9% f6 [57] 7.9% hash-ref! [75] 33.5% simplify [16] 54.6% [57] 1270(2.0%) 402(0.6%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [64] 37.5% parse-app [68] 19.1% f6 [57] 7.9% make-keyword-procedure [70] 3.9% ------------------------------------------------------------------------ update-leader! [52] 100.0% [58] 1024(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [65] 100.0% ------------------------------------------------------------------------ errors [53] 100.0% [59] 822(1.3%) 198(0.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 51.3% ??? [69] 24.6% ------------------------------------------------------------------------ for-loop [27] 24.6% for-loop [51] 75.4% [60] 820(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [66] 100.0% ------------------------------------------------------------------------ ??? [72] 46.3% approximate9 [50] 53.7% [61] 432(0.7%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [67] 100.0% ------------------------------------------------------------------------ list-cartesian-product [54] 100.0% [62] 202(0.3%) 202(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------ errors [53] 100.0% [63] 202(0.3%) 202(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ parse-loop12 [78] 0.7% f6 [57] 1.9% loop [49] 44.9% make-exacts* [48] 52.6% [64] 32944(52.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 98.7% parse-loop12 [78] 0.7% ??? [72] 0.6% ------------------------------------------------------------------------ for-loop [58] 100.0% [65] 1024(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [71] 100.0% ------------------------------------------------------------------------ ??? [60] 100.0% [66] 820(1.3%) 620(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [73] 24.4% ------------------------------------------------------------------------ taylor-quotient [61] 100.0% [67] 432(0.7%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [75] 100.0% ------------------------------------------------------------------------ f6 [57] 100.0% [68] 242(0.4%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [74] 100.0% ------------------------------------------------------------------------ for-loop [59] 100.0% [69] 202(0.3%) 202(0.3%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------ f6 [57] 100.0% [70] 200(0.3%) 200(0.3%) make-keyword-procedure ...ket/private/kw.rkt:216:4 ------------------------------------------------------------------------ for-loop [65] 100.0% [71] 1024(1.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [76] 100.0% ------------------------------------------------------------------------ map [64] 31.9% loop [80] 68.1% [72] 626(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [75] 68.1% taylor-quotient [61] 31.9% ------------------------------------------------------------------------ for-loop [66] 50.0% match-e [38] 50.0% [73] 400(0.6%) 400(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ parse-app [68] 100.0% [74] 242(0.4%) 242(0.4%) loop .../collects/racket/private/stxcase.rkt:112:7 ------------------------------------------------------------------------ ??? [5] 4.0% for-loop [13] 5.0% localize-error [23] 6.1% ??? [17] 9.0% for-loop [11] 9.2% ??? [72] 12.1% first-nonzero-exp [67] 13.5% ??? [77] 20.6% loop [56] 20.6% [75] 2338(3.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 25.6% ??? [77] 20.6% simplify [16] 20.4% parse-loop12 [78] 12.1% ??? [5] 9.0% ??? [6] 6.3% f6 [57] 6.1% ------------------------------------------------------------------------ hash-update! [71] 100.0% [76] 1024(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [79] 100.0% ------------------------------------------------------------------------ hash-ref! [75] 100.0% [77] 1480(2.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [75] 100.0% ------------------------------------------------------------------------ map [64] 5.0% parse-loop12 [78] 11.3% loop [80] 22.1% simplify [16] 22.1% hash-ref! [75] 39.6% [78] 1076(1.7%) 418(0.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 61.6% parse-loop12 [78] 11.3% make-multiplication-node [81] 10.8% map [64] 5.0% ------------------------------------------------------------------------ ??? [76] 100.0% [79] 1024(1.6%) 622(1.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [88] 39.3% ------------------------------------------------------------------------ map-enodes [22] 0.1% loop! [86] 0.1% make-exacts* [48] 0.1% loop [49] 0.1% match-e [38] 0.4% for-loop [44] 0.4% parse-loop12 [78] 0.7% map [64] 1.4% loop [80] 96.6% [80] 52576(83.1%) 422(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 96.6% ??? [82] 1.6% parse-loop12 [78] 0.7% loop! [86] 0.1% for-loop [83] 0.1% ??? [72] 0.1% ??? [91] 0.0% ->flonum [85] 0.0% ------------------------------------------------------------------------ parse-loop12 [78] 100.0% [81] 232(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [84]100.0% ------------------------------------------------------------------------ for-loop [59] 0.8% loop [80] 99.2% [82] 50678(80.1%) 220(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 97.7% real->bigfloat [89] 1.4% ??? [96] 0.4% ------------------------------------------------------------------------ map-enodes [22] 33.2% loop [80] 66.8% [83] 602(1.0%) 200(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [90] 66.8% ------------------------------------------------------------------------ make-multiplication-node [81] 100.0% [84] 232(0.4%) 232(0.4%) make-multiplication-subnode ...re/reduce.rkt:231:0 ------------------------------------------------------------------------ loop [80] 100.0% [85] 220(0.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 100.0% ------------------------------------------------------------------------ loop [80] 50.0% merge-egraph-nodes! [46] 50.0% [86] 200(0.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [80] 50.0% update-en-expr [88] 50.0% ------------------------------------------------------------------------ ??? [82] 100.0% [87] 49524(78.3%) 442(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 97.4% ...higher-order.rkt:373:33 [92] 1.3% ??? [93] 0.4% ------------------------------------------------------------------------ loop! [86] 24.9% for-loop [55] 24.9% for-loop [79] 50.1% [88] 802(1.3%) 802(1.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ ??? [82] 100.0% [89] 710(1.1%) 710(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------ for-loop [83] 100.0% [90] 402(0.6%) 402(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------ loop [80] 0.9% ??? [87] 99.1% [91] 48638(76.9%) 46144(72.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [94] 5.1% ------------------------------------------------------------------------ ??? [87] 100.0% [92] 650(1.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 67.4% ??? [96] 32.6% ------------------------------------------------------------------------ ??? [87] 50.0% ->flonum [85] 50.0% [93] 440(0.7%) 440(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [91] 100.0% [94] 2494(3.9%) 2038(3.2%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 18.3% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [92] 100.0% [95] 438(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [92] 24.3% ??? [82] 25.6% ??? [95] 50.1% [96] 874(1.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ------------------------------------------------------------------------ bfdiv [94] 100.0% [97] 456(0.7%) 456(0.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [96] 100.0% [98] 874(1.4%) 220(0.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 74.8% ------------------------------------------------------------------------ ??? [98] 100.0% [99] 654(1.0%) 224(0.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 65.7% ------------------------------------------------------------------------ ??? [99] 100.0% [100] 430(0.7%) 430(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------