Profiling results ----------------- Total cpu time observed: 18632ms (out of 19128ms) Number of samples taken: 80 (once every 233ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [14] 100.0% [1] 17982(96.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- location-do [80] 100.0% [2] 3876(20.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 84.2% taylor-quotient [11] 10.6% f6 [57] 5.2% ----------------------------------------------------------------------- ??? [14] 100.0% [3] 1664(8.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [15] 50.4% simplify-expr [10] 49.6% ----------------------------------------------------------------------- post-process [32] 13.4% loop [66] 86.6% [4] 1640(8.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- hash-ref! [50] 100.0% [5] 222(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:425:23 for-loop [12] 100.0% ----------------------------------------------------------------------- f6 [57] 100.0% [6] 202(1.1%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [50] 100.0% ----------------------------------------------------------------------- hash-ref! [50] 100.0% [7] 202(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 17982(96.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [14] 100.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [9] 3264(17.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [50] 100.0% ----------------------------------------------------------------------- simplify [3] 33.5% completely-simplify-alt [4] 66.5% [10] 2466(13.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 92.0% loop [18] 8.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [11] 410(2.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [17] 51.2% ??? [73] 48.8% ----------------------------------------------------------------------- ??? [5] 100.0% [12] 222(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:428:30 for-loop [16] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [13] 202(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [50] 100.0% ----------------------------------------------------------------------- for-loop [52] 3.0% run [8] 46.8% [14] 18632(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.8% loop [19] 25.8% run-improve58 [20] 24.5% simplify [3] 3.0% ----------------------------------------------------------------------- simplify [3] 27.0% simplify-expr [10] 73.0% [15] 3106(16.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 93.6% map-enodes [22] 6.4% ----------------------------------------------------------------------- for-loop [12] 100.0% [16] 222(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:431:42 hash-ref! [50] 100.0% ----------------------------------------------------------------------- taylor-quotient [11] 100.0% [17] 210(1.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [50] 100.0% ----------------------------------------------------------------------- simplify-expr [10] 100.0% [18] 198(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% ----------------------------------------------------------------------- ??? [14] 100.0% [19] 9356(50.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [31] 60.1% loop [25] 39.9% ----------------------------------------------------------------------- ??? [14] 100.0% [20] 9276(49.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [24] 59.9% for-loop [26] 37.9% get-final-combination [29] 2.2% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [21] 2906(15.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 84.9% apply-match [28] 15.1% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [22] 200(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [30] 100.0% ----------------------------------------------------------------------- loop [18] 100.0% [23] 198(1.1%) 198(1.1%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 ----------------------------------------------------------------------- run-improve58 [20] 100.0% [24] 5558(29.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% ----------------------------------------------------------------------- loop [19] 100.0% [25] 3736(20.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [34] 64.5% make-exacts* [31] 35.5% ----------------------------------------------------------------------- run-improve58 [20] 100.0% [26] 3516(18.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [33] 100.0% ----------------------------------------------------------------------- for-loop [27] 45.9% one-iter [21] 54.1% [27] 2468(13.2%) 1246(6.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 45.9% match-e [35] 24.8% ----------------------------------------------------------------------- one-iter [21] 100.0% [28] 438(2.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 50.7% mk-enode! [37] 49.3% ----------------------------------------------------------------------- run-improve58 [20] 100.0% [29] 202(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [38] 100.0% ----------------------------------------------------------------------- map-enodes [22] 100.0% [30] 200(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [39] 100.0% ----------------------------------------------------------------------- loop [25] 19.1% loop [19] 80.9% [31] 6946(37.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [60] 51.4% loop [66] 48.6% ----------------------------------------------------------------------- finalize-table! [24] 100.0% [32] 5558(29.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [40] 58.6% loop [66] 25.5% ??? [61] 8.0% completely-simplify-alt [4] 4.0% localize-error [43] 4.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [33] 3516(18.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [41] 47.3% finalize-iter! [42] 23.4% gen-series! [44] 17.6% localize-error [43] 11.6% ----------------------------------------------------------------------- loop [25] 100.0% [34] 2410(12.9%) 258(1.4%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 89.3% ----------------------------------------------------------------------- for-loop [45] 16.3% for-loop [27] 83.7% [35] 1222(6.6%) 820(4.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 16.5% list-cartesian-product [49] 16.4% for-loop [45] 16.3% ----------------------------------------------------------------------- apply-match [28] 100.0% [36] 222(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 100.0% ----------------------------------------------------------------------- apply-match [28] 100.0% [37] 216(1.2%) 216(1.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- get-final-combination [29] 100.0% [38] 202(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [48] 100.0% ----------------------------------------------------------------------- for-loop [30] 100.0% [39] 200(1.1%) 200(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- post-process [32] 100.0% [40] 3256(17.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [51] 100.0% ----------------------------------------------------------------------- run-iter! [33] 100.0% [41] 1664(8.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [52] 100.0% ----------------------------------------------------------------------- run-iter! [33] 100.0% [42] 824(4.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [61] 100.0% ----------------------------------------------------------------------- post-process [32] 35.0% run-iter! [33] 65.0% [43] 628(3.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [50] 100.0% ----------------------------------------------------------------------- run-iter! [33] 100.0% [44] 620(3.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [53] 100.0% ----------------------------------------------------------------------- match-e [35] 100.0% [45] 398(2.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [46] 222(1.2%) 222(1.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ----------------------------------------------------------------------- match-e [35] 100.0% [47] 202(1.1%) 202(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ----------------------------------------------------------------------- extract-alt [38] 100.0% [48] 202(1.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [62] 100.0% ----------------------------------------------------------------------- list-cartesian-product [49] 50.0% match-e [35] 50.0% [49] 200(1.1%) 200(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [49] 50.0% ----------------------------------------------------------------------- for-loop [16] 1.3% for-loop [13] 1.6% for-loop [58] 2.8% loop [6] 4.7% first-nonzero-exp [17] 4.9% ??? [73] 6.2% localize-error [43] 8.3% ??? [56] 14.2% ??? [55] 25.6% loop [9] 30.3% [50] 4304(23.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [54] 39.9% ??? [55] 25.6% ??? [56] 17.1% parse-loop12 [64] 8.3% f6 [57] 6.2% ??? [7] 1.6% ??? [5] 1.3% ----------------------------------------------------------------------- for-loop [40] 100.0% [51] 3256(17.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [70] 93.5% loop [66] 6.5% ----------------------------------------------------------------------- simplify! [41] 100.0% [52] 1664(8.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [14] 100.0% ----------------------------------------------------------------------- gen-series! [44] 100.0% [53] 620(3.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [70] 100.0% ----------------------------------------------------------------------- hash-ref! [50] 100.0% [54] 3676(19.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [64] 83.4% debug7 [59] 11.2% f6 [57] 5.4% ----------------------------------------------------------------------- hash-ref! [50] 100.0% [55] 3062(16.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [50] 100.0% ----------------------------------------------------------------------- hash-ref! [50] 100.0% [56] 2258(12.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [50] 81.3% for-loop [58] 18.7% ----------------------------------------------------------------------- loop [66] 3.2% simplify [54] 3.2% map [60] 9.7% f6 [57] 9.8% approximate9 [2] 9.8% composed [62] 9.8% parse-loop12 [64] 13.0% hash-ref! [50] 41.5% [57] 1032(5.5%) 202(1.1%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [60] 57.6% composed [62] 9.8% f6 [57] 9.8% loop [6] 9.8% gather-multiplicative-terms [63] 3.2% ----------------------------------------------------------------------- ??? [56] 100.0% [58] 422(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [50] 100.0% ----------------------------------------------------------------------- simplify [54] 100.0% [59] 412(2.2%) 202(1.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [61] 51.0% ----------------------------------------------------------------------- ??? [73] 0.7% f6 [57] 7.8% parse-loop12 [64] 13.8% loop [34] 29.2% make-exacts* [31] 48.5% [60] 7362(39.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [66] 83.2% parse-loop12 [64] 12.1% ??? [73] 2.2% f6 [57] 1.6% ->flonum [72] 0.7% ----------------------------------------------------------------------- debug7 [59] 14.2% post-process [32] 29.9% finalize-iter! [42] 55.8% [61] 1476(7.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [65] 85.8% ??? [96] 14.2% ----------------------------------------------------------------------- f6 [57] 50.0% argmins [48] 50.0% [62] 404(2.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [76] 50.0% f6 [57] 50.0% ----------------------------------------------------------------------- f6 [57] 100.0% [63] 200(1.1%) 200(1.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- parse-loop12 [64] 5.7% map [60] 12.5% hash-ref! [50] 16.1% loop [66] 16.4% simplify [54] 49.3% [64] 3892(20.9%) 2044(11.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [66] 30.0% map [60] 9.9% parse-app [68] 9.5% parse-loop12 [64] 5.7% loop [69] 5.1% f6 [57] 4.3% ----------------------------------------------------------------------- ??? [61] 100.0% [65] 1266(6.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [67] 100.0% ----------------------------------------------------------------------- make-exacts* [31] 0.0% append-map [51] 0.1% post-process [32] 1.3% map [60] 2.2% parse-loop12 [64] 8.0% loop [66] 88.2% [66] 12964(69.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [66] 88.2% parse-loop12 [64] 6.2% ??? [73] 1.8% completely-simplify-alt [4] 1.3% f6 [57] 0.8% make-multiplication-node [74] 0.8% ??? [84] 0.6% ??? [90] 0.1% taylor-alt [70] 0.1% ->flonum [72] 0.0% ----------------------------------------------------------------------- for-loop [65] 100.0% [67] 1266(6.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [71] 100.0% ----------------------------------------------------------------------- parse-loop12 [64] 100.0% [68] 618(3.3%) 618(3.3%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- parse-loop12 [64] 16.7% loop [69] 83.3% [69] 200(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [69] 83.3% ->flonum [72] 16.7% ----------------------------------------------------------------------- loop [66] 5.5% for-loop [53] 16.0% append-map [51] 78.5% [70] 3876(20.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [75] 100.0% ----------------------------------------------------------------------- atab-add-altn [67] 100.0% [71] 1266(6.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [76] 100.0% ----------------------------------------------------------------------- loop [69] 22.1% map [60] 24.3% loop [66] 53.5% [72] 904(4.9%) 220(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [77] 53.5% ??? [78] 22.1% ----------------------------------------------------------------------- map [60] 26.3% taylor-quotient [11] 31.8% loop [66] 41.9% [73] 628(3.4%) 200(1.1%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [50] 59.4% map [60] 8.8% ----------------------------------------------------------------------- loop [66] 100.0% [74] 200(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [79]100.0% ----------------------------------------------------------------------- taylor-alt [70] 100.0% [75] 3876(20.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [80] 100.0% ----------------------------------------------------------------------- composed [62] 13.8% best-and-tied-at-points [71] 86.2% [76] 1468(7.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [81] 71.3% eval-prog [82] 28.7% ----------------------------------------------------------------------- ->flonum [72] 100.0% [77] 484(2.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [95] 100.0% ----------------------------------------------------------------------- ->flonum [72] 100.0% [78] 200(1.1%) 200(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- make-multiplication-node [74] 100.0% [79] 200(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [83] 100.0% ----------------------------------------------------------------------- for-loop [75] 26.2% location-do [80] 73.8% [80] 3876(20.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [80] 73.8% approximate9 [2] 26.2% ----------------------------------------------------------------------- errors [76] 100.0% [81] 1046(5.6%) 222(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [84] 78.8% ----------------------------------------------------------------------- errors [76] 100.0% [82] 422(2.3%) 422(2.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- make-multiplication-subnode [79]100.0% [83] 200(1.1%) 200(1.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- for-loop [81] 8.7% loop [66] 91.3% [84] 9438(50.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 84.5% real->bigfloat [86] 15.5% ----------------------------------------------------------------------- ??? [84] 100.0% [85] 7974(42.8%) 1088(5.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 67.5% bf* [87] 6.6% ...higher-order.rkt:373:33 [88] 6.1% ...ow-val-first.rkt:357:18 [91] 3.1% bfcube [89] 3.0% ----------------------------------------------------------------------- ??? [84] 100.0% [86] 1464(7.9%) 1166(6.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 20.4% ----------------------------------------------------------------------- ??? [85] 100.0% [87] 524(2.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ----------------------------------------------------------------------- ??? [85] 100.0% [88] 484(2.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- ??? [85] 100.0% [89] 242(1.3%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 ...ow-val-first.rkt:357:18 [91] 100.0% ----------------------------------------------------------------------- loop [66] 3.4% bf* [87] 8.6% ??? [85] 88.0% [90] 6118(32.8%) 2304(12.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpm1 [92] 26.9% ??? [97] 18.5% bfmul [93] 16.9% ----------------------------------------------------------------------- bfcube [89] 49.2% ??? [85] 50.8% [91] 492(2.6%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- ??? [90] 100.0% [92] 1648(8.8%) 988(5.3%) bfexpm1 ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 40.0% ----------------------------------------------------------------------- ??? [90] 100.0% [93] 1032(5.5%) 1032(5.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 49.6% ...ow-val-first.rkt:357:18 [91] 50.4% [94] 976(5.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ----------------------------------------------------------------------- real->bigfloat [86] 20.7% ??? [77] 33.6% bfexpm1 [92] 45.8% [95] 1442(7.7%) 1442(7.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [61] 17.7% ??? [94] 82.3% [96] 1186(6.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 82.3% dict? [98] 17.7% ----------------------------------------------------------------------- ??? [96] 46.3% ??? [90] 53.7% [97] 2110(11.3%) 2110(11.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 210(1.1%) 210(1.1%) dict? ...ollects/racket/private/generic.rkt:146:11 -----------------------------------------------------------------------