Profiling results ----------------- Total cpu time observed: 17216ms (out of 17588ms) Number of samples taken: 74 (once every 233ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [37] 100.0% [1] 16802(97.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [2] 7536(43.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [10] 55.0% for-loop [12] 42.6% get-final-combination [16] 2.4% ----------------------------------------------------------------------- loop [60] 100.0% [3] 2260(13.1%) 276(1.6%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 87.8% ----------------------------------------------------------------------- loop [60] 8.8% ??? [37] 91.2% [4] 2042(11.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 82.5% iterate-egraph!5 [18] 17.5% ----------------------------------------------------------------------- location-do [72] 100.0% [5] 182(1.1%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [13] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [6] 182(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [7] 182(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% ----------------------------------------------------------------------- f94 [8] 50.0% hash-ref! [67] 50.0% [8] 180(1.0%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [8] 50.0% loop [60] 50.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.6% [9] 17034(98.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 4148(24.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [17] 100.0% ----------------------------------------------------------------------- simplify [4] 45.9% completely-simplify-alt [3] 54.1% [11] 3668(21.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 3208(18.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ----------------------------------------------------------------------- loop [5] 14.3% location-do [72] 85.7% [13] 1276(7.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [20] 71.5% taylor [21] 14.3% taylor-sqrt [22] 14.3% ----------------------------------------------------------------------- ??? [7] 100.0% [14] 182(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [67] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 182(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [67] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 180(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [23] 100.0% ----------------------------------------------------------------------- finalize-table! [10] 100.0% [17] 4148(24.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [60] 59.5% for-loop [26] 22.0% ??? [32] 13.2% localize-error [28] 5.3% ----------------------------------------------------------------------- simplify [4] 8.9% simplify-expr [11] 91.1% [18] 4026(23.4%) 184(1.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 95.4% ----------------------------------------------------------------------- for-loop [12] 100.0% [19] 3208(18.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 58.0% finalize-iter! [27] 24.4% gen-series! [29] 11.3% localize-error [28] 6.2% ----------------------------------------------------------------------- approximate9 [13] 100.0% [20] 912(5.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ----------------------------------------------------------------------- approximate9 [13] 100.0% [21] 182(1.1%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [82] 100.0% ----------------------------------------------------------------------- approximate9 [13] 100.0% [22] 182(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [74] 100.0% ----------------------------------------------------------------------- get-final-combination [16] 100.0% [23] 180(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [60] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [24] 3842(22.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 85.1% apply-match [40] 5.2% loop [35] 5.1% loop [36] 4.6% ----------------------------------------------------------------------- run-iter! [19] 100.0% [25] 1862(10.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ----------------------------------------------------------------------- post-process [17] 100.0% [26] 912(5.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [27] 782(4.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- run-iter! [19] 31.8% loop [60] 33.4% post-process [17] 34.7% [28] 628(3.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [29] 364(2.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% ----------------------------------------------------------------------- for-loop [30] 47.1% one-iter [24] 52.9% [30] 3270(19.0%) 774(4.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 47.1% match-e [38] 38.2% ----------------------------------------------------------------------- simplify! [25] 100.0% [31] 1862(10.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ----------------------------------------------------------------------- post-process [17] 41.2% finalize-iter! [27] 58.8% [32] 1330(7.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 83.5% atab-add-altns [41] 16.5% ----------------------------------------------------------------------- for-loop [26] 100.0% [33] 912(5.3%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 loop [60] 60.1% taylor-alt [62] 39.9% ----------------------------------------------------------------------- gen-series! [29] 100.0% [34] 364(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [62] 100.0% ----------------------------------------------------------------------- one-iter [24] 100.0% [35] 196(1.1%) 196(1.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- one-iter [24] 100.0% [36] 178(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ----------------------------------------------------------------------- for-loop [31] 3.6% run [9] 48.3% [37] 17216(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.0% loop [42] 28.8% run-improve58 [2] 20.6% simplify [4] 3.6% ----------------------------------------------------------------------- for-loop [44] 5.3% for-loop [30] 94.7% [38] 2496(14.5%) 1918(11.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 8.7% list-cartesian-product [47] 7.3% constant? [48] 7.1% for-loop [44] 5.3% ----------------------------------------------------------------------- ??? [32] 100.0% [39] 1110(6.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- loop [36] 47.3% one-iter [24] 52.7% [40] 376(2.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 52.7% loop! [64] 47.3% ----------------------------------------------------------------------- ??? [32] 100.0% [41] 220(1.3%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [42] 9680(56.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [54] 54.2% loop [49] 43.4% for-loop [51] 2.4% ----------------------------------------------------------------------- atab-add-altns [41] 16.5% for-loop [39] 83.5% [43] 1330(7.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 83.5% override-at-pnts [52] 16.5% ----------------------------------------------------------------------- match-e [38] 100.0% [44] 264(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 100.0% ----------------------------------------------------------------------- match-e [38] 100.0% [45] 218(1.3%) 218(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ----------------------------------------------------------------------- apply-match [40] 100.0% [46] 198(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [53] 100.0% ----------------------------------------------------------------------- match-e [38] 100.0% [47] 182(1.1%) 182(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- match-e [38] 100.0% [48] 178(1.0%) 178(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- loop [42] 100.0% [49] 4200(24.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 67.0% make-exacts* [54] 28.5% eval-prog [59] 4.5% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [50] 1110(6.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 100.0% ----------------------------------------------------------------------- loop [42] 100.0% [51] 232(1.3%) 232(1.3%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [52] 220(1.3%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [56] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [53] 198(1.2%) 198(1.2%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 ----------------------------------------------------------------------- loop [49] 18.6% loop [42] 81.4% [54] 6446(37.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [60] 53.8% map [57] 46.2% ----------------------------------------------------------------------- loop [49] 100.0% [55] 2812(16.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [57] 100.0% ----------------------------------------------------------------------- override-at-pnts [52] 16.5% best-and-tied-at-points [50] 83.5% [56] 1330(7.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 86.3% eval-prog [59] 13.7% ----------------------------------------------------------------------- for-loop [95] 2.9% parse-loop12 [75] 6.4% loop [55] 44.0% make-exacts* [54] 46.7% [57] 6384(37.1%) 182(1.1%) map ...acket/collects/racket/private/map.rkt:21:13 loop [60] 90.7% loop [83] 3.3% ??? [63] 3.1% ----------------------------------------------------------------------- errors [56] 100.0% [58] 1148(6.7%) 184(1.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [61] 84.0% ----------------------------------------------------------------------- errors [56] 48.9% loop [49] 51.1% [59] 372(2.2%) 190(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [67] 48.9% ----------------------------------------------------------------------- ??? [61] 0.0% loop! [64] 0.1% extract-alt [23] 0.5% parse-loop12 [75] 0.7% ??? [79] 1.0% f94 [8] 1.4% post-process [17] 2.2% map [57] 3.3% make-exacts* [54] 3.3% append-map [33] 4.2% loop [60] 83.4% [60] 13196(76.6%) 234(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [60] 83.4% ??? [61] 5.6% taylor-alt [62] 4.2% completely-simplify-alt [3] 1.6% simplify [74] 1.4% hash-ref! [67] 1.0% ->flonum [88] 1.0% ??? [63] 0.6% localize-error [28] 0.5% simplify [4] 0.5% loop! [64] 0.1% bf* [81] 0.1% real->bigfloat [66] 0.0% ----------------------------------------------------------------------- for-loop [58] 9.9% loop [60] 90.1% [61] 9718(56.4%) 252(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [65] 66.5% real->bigfloat [66] 22.0% ...e/case-arrow.rkt:150:50 [69] 4.5% loop [60] 2.6% ->flonum [88] 1.9% ----------------------------------------------------------------------- for-loop [34] 28.5% append-map [33] 28.5% loop [60] 42.9% [62] 1276(7.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [68] 100.0% ----------------------------------------------------------------------- map [57] 24.4% loop [60] 75.6% [63] 410(2.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [67] 100.0% ----------------------------------------------------------------------- loop [60] 50.0% apply-match [40] 50.0% [64] 178(1.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [60] 50.0% update-en-expr [70] 50.0% ----------------------------------------------------------------------- ??? [61] 100.0% [65] 6462(37.5%) 590(3.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 33.8% ...higher-order.rkt:373:33 [71] 27.2% bffma [73] 12.4% bf* [81] 11.3% ...ow-val-first.rkt:357:18 [78] 3.2% ??? [93] 3.0% ----------------------------------------------------------------------- loop [60] 10.4% ??? [61] 89.6% [66] 2384(13.8%) 2118(12.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 11.2% ----------------------------------------------------------------------- for-loop [15] 2.6% for-loop [14] 2.6% eval-prog [59] 2.6% ??? [76] 6.2% loop [60] 7.9% ??? [77] 10.5% ??? [63] 13.8% localize-error [28] 22.6% loop [20] 30.9% [67] 1722(10.0%) 548(3.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [75] 36.5% ??? [77] 10.5% ??? [79] 7.9% ??? [76] 6.2% simplify [74] 6.2% f94 [8] 3.5% ??? [7] 2.6% ??? [6] 2.6% ----------------------------------------------------------------------- taylor-alt [62] 100.0% [68] 1276(7.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [72] 100.0% ----------------------------------------------------------------------- ??? [61] 100.0% [69] 438(2.5%) 438(2.5%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- loop! [64] 100.0% [70] 178(1.0%) 178(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ??? [65] 100.0% [71] 1760(10.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [80] 100.0% ----------------------------------------------------------------------- for-loop [68] 38.1% location-do [72] 61.9% [72] 1276(7.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [72] 61.9% approximate9 [13] 33.4% loop [5] 4.8% ----------------------------------------------------------------------- ??? [65] 100.0% [73] 802(4.7%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [81] 100.0% ----------------------------------------------------------------------- loop [60] 24.7% taylor-sqrt [22] 25.0% hash-ref! [67] 50.3% [74] 728(4.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [82] 50.0% make-multiplication-node [85] 25.0% debug7 [84] 25.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [75] 628(3.6%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [60] 38.0% loop [83] 34.7% map [57] 27.3% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [76] 366(2.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [77] 364(2.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [67] 100.0% ----------------------------------------------------------------------- ??? [65] 100.0% [78] 204(1.2%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [80] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [79] 182(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [60] 100.0% ----------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [78] 10.4% ...higher-order.rkt:373:33 [71] 89.6% [80] 1964(11.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [87] 100.0% ----------------------------------------------------------------------- loop [60] 11.6% ??? [65] 42.1% bffma [73] 46.4% [81] 1730(10.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [86] 100.0% ----------------------------------------------------------------------- taylor [21] 33.3% simplify [74] 66.7% [82] 546(3.2%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [89] 100.0% ----------------------------------------------------------------------- parse-loop12 [75] 1.0% map [57] 1.0% loop [83] 97.9% [83] 428(2.5%) 210(1.2%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [83] 97.9% ->flonum [88] 1.0% ----------------------------------------------------------------------- simplify [74] 100.0% [84] 182(1.1%) 182(1.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- simplify [74] 100.0% [85] 182(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [90]100.0% ----------------------------------------------------------------------- bf* [81] 44.2% ??? [65] 55.8% [86] 3916(22.7%) 506(2.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [92] 63.6% ??? [91] 23.5% ----------------------------------------------------------------------- ??? [80] 100.0% [87] 1964(11.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ----------------------------------------------------------------------- ??? [61] 27.2% loop [83] 32.5% loop [60] 40.3% [88] 670(3.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 40.3% ??? [91] 32.5% ??? [93] 27.2% ----------------------------------------------------------------------- debug-print [82] 100.0% [89] 546(3.2%) 546(3.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- make-multiplication-node [85] 100.0% [90] 182(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [95] 100.0% ----------------------------------------------------------------------- ->flonum [88] 7.0% ??? [86] 29.7% ??? [87] 63.3% [91] 3102(18.0%) 1770(10.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 42.9% ----------------------------------------------------------------------- ??? [86] 100.0% [92] 2490(14.5%) 1998(11.6%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 19.8% ----------------------------------------------------------------------- ->flonum [88] 48.7% ??? [65] 51.3% [93] 374(2.2%) 374(2.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ->flonum [88] 100.0% [94] 270(1.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [97] 100.0% ----------------------------------------------------------------------- make-multiplication-subnode [90]100.0% [95] 182(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 map [57] 100.0% ----------------------------------------------------------------------- ??? [91] 100.0% [96] 1332(7.7%) 250(1.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 81.2% ----------------------------------------------------------------------- real->bigfloat [66] 25.9% ??? [94] 26.3% bfdiv [92] 47.9% [97] 1028(6.0%) 1028(6.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 1082(6.3%) 1082(6.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------