Profiling results ----------------- Total cpu time observed: 12732ms (out of 13192ms) Number of samples taken: 55 (once every 231ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 12310(96.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 5374(42.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [8] 49.9% for-loop [9] 46.3% get-final-combination [14] 3.7% ----------------------------------------------------------------------- loop [73] 9.7% ??? [33] 90.3% [3] 2066(16.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 60.1% for-loop [11] 39.9% ----------------------------------------------------------------------- loop [73] 100.0% [4] 1018(8.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [5] 220(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [6] 220(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 12310(96.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2684(21.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2490(19.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 45.0% simplify [3] 55.0% [10] 2260(17.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 91.2% loop [19] 8.8% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 824(6.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [12] 220(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [85] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 220(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [85] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 200(1.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ----------------------------------------------------------------------- for-loop [11] 28.6% simplify-expr [10] 71.4% [15] 2886(22.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% ----------------------------------------------------------------------- finalize-table! [8] 100.0% [16] 2684(21.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [73] 45.4% for-loop [22] 39.0% ??? [31] 8.2% localize-error [78] 7.5% ----------------------------------------------------------------------- for-loop [9] 100.0% [17] 2490(19.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 74.9% gen-series! [23] 17.0% finalize-iter! [24] 8.0% ----------------------------------------------------------------------- get-final-combination [14] 100.0% [18] 200(1.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ----------------------------------------------------------------------- simplify-expr [10] 100.0% [19] 198(1.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [20] 2886(22.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 84.8% loop [29] 15.2% ----------------------------------------------------------------------- run-iter! [17] 100.0% [21] 1866(14.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- post-process [16] 100.0% [22] 1046(8.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [28] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 424(3.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [24] 200(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% ----------------------------------------------------------------------- loop [19] 100.0% [25] 198(1.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [20] 50.0% [26] 2446(19.2%) 402(3.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [34] 41.8% ----------------------------------------------------------------------- simplify! [21] 100.0% [27] 1866(14.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ----------------------------------------------------------------------- f6 [68] 14.5% for-loop [22] 85.5% [28] 1046(8.2%) 202(1.6%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 64.5% loop [73] 21.0% f6 [68] 9.7% ----------------------------------------------------------------------- one-iter [20] 100.0% [29] 440(3.5%) 200(1.6%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 54.5% ----------------------------------------------------------------------- gen-series! [23] 100.0% [30] 424(3.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- finalize-iter! [24] 47.6% post-process [16] 52.4% [31] 420(3.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 52.4% atab-add-altns [38] 47.6% ----------------------------------------------------------------------- pass [25] 100.0% [32] 198(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [39] 100.0% ----------------------------------------------------------------------- for-loop [27] 5.4% run [7] 46.5% [33] 12732(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.5% loop [40] 28.9% run-improve58 [2] 19.2% simplify [3] 5.4% ----------------------------------------------------------------------- for-loop [48] 20.1% for-loop [26] 79.9% [34] 2044(16.1%) 620(4.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 44.7% list-cartesian-product [49] 14.8% for-loop [48] 10.3% loop [73] 4.9% ----------------------------------------------------------------------- loop [73] 15.0% for-loop [30] 28.8% append-map [28] 56.2% [35] 1470(11.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ----------------------------------------------------------------------- loop [29] 100.0% [36] 240(1.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 mk-enode! [44] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [37] 220(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [38] 200(1.6%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- for-loop [32] 100.0% [39] 198(1.6%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [45] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [40] 7358(57.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [53] 53.4% loop [46] 43.2% for-loop [51] 3.4% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [41] 1470(11.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ----------------------------------------------------------------------- match-e [34] 100.0% [42] 1224(9.6%) 402(3.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [48] 32.8% loop [73] 18.0% list-cartesian-product [49] 16.3% ----------------------------------------------------------------------- atab-add-altns [38] 47.6% for-loop [37] 52.4% [43] 420(3.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 100.0% ----------------------------------------------------------------------- apply-match [36] 100.0% [44] 240(1.9%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [52] 100.0% ----------------------------------------------------------------------- loop [39] 100.0% [45] 198(1.6%) 198(1.6%) expression-cost ...k/herbie/src/programs.rkt:212:0 ----------------------------------------------------------------------- loop [40] 100.0% [46] 3182(25.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [54] 63.3% make-exacts* [53] 36.7% ----------------------------------------------------------------------- location-do [47] 41.2% for-loop [41] 58.8% [47] 1470(11.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 58.8% location-do [47] 41.2% ----------------------------------------------------------------------- for-loop [42] 48.9% match-e [34] 51.1% [48] 822(6.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 100.0% ----------------------------------------------------------------------- for-loop [42] 33.2% list-cartesian-product [49] 33.4% match-e [34] 33.4% [49] 602(4.7%) 602(4.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [49] 33.4% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [50] 420(3.3%) 200(1.6%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 52.4% ----------------------------------------------------------------------- loop [40] 100.0% [51] 250(2.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [56] 100.0% ----------------------------------------------------------------------- mk-enode! [44] 100.0% [52] 240(1.9%) 240(1.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- loop [46] 22.9% loop [40] 77.1% [53] 5094(40.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [70] 50.9% loop [73] 49.1% ----------------------------------------------------------------------- loop [46] 100.0% [54] 2014(15.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [70] 100.0% ----------------------------------------------------------------------- location-do [47] 100.0% [55] 1470(11.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [58] 57.4% taylor-sqrt [61] 15.0% taylor [62] 13.9% for-loop [63] 13.7% ----------------------------------------------------------------------- for-loop [51] 100.0% [56] 250(2.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample [59] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [50] 100.0% [57] 220(1.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [60] 100.0% ----------------------------------------------------------------------- approximate9 [55] 100.0% [58] 844(6.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [85] 76.1% iterate-diagonal [67] 23.9% ----------------------------------------------------------------------- for-loop [56] 100.0% [59] 250(2.0%) 0(0.0%) sample /home/ztatlock/herbie/src/points.rkt:68:0 sample-default [65] 100.0% ----------------------------------------------------------------------- errors [57] 100.0% [60] 220(1.7%) 220(1.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- approximate9 [55] 100.0% [61] 220(1.7%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [64] 100.0% ----------------------------------------------------------------------- approximate9 [55] 100.0% [62] 204(1.6%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [66] 100.0% ----------------------------------------------------------------------- approximate9 [55] 100.0% [63] 202(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f6 [68] 100.0% ----------------------------------------------------------------------- loop [73] 23.9% taylor-sqrt [61] 26.1% hash-ref! [85] 50.0% [64] 844(6.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [68] 100.0% ----------------------------------------------------------------------- sample [59] 100.0% [65] 250(2.0%) 250(2.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ----------------------------------------------------------------------- taylor [62] 100.0% [66] 204(1.6%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [69] 100.0% ----------------------------------------------------------------------- loop [58] 100.0% [67] 202(1.6%) 0(0.0%) iterate-diagonal ...rbie/src/core/taylor.rkt:150:0 hash-ref! [85] 100.0% ----------------------------------------------------------------------- composed [72] 3.2% for-loop [63] 3.2% append-map [28] 6.4% hash-ref! [85] 19.2% map [70] 19.3% simplify [64] 48.6% [68] 1044(8.2%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [70] 62.8% parse-app [71] 21.1% append-map [28] 9.7% loop [73] 3.2% composed [72] 3.2% ----------------------------------------------------------------------- debug-print [66] 100.0% [69] 204(1.6%) 204(1.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- ??? [79] 1.2% f6 [68] 13.9% loop [54] 37.1% make-exacts* [53] 47.8% [70] 5432(42.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 84.8% f6 [68] 6.8% parse-loop12 [88] 4.1% ??? [79] 2.5% ->flonum [76] 1.2% make-multiplication-node [75] 0.6% ----------------------------------------------------------------------- f6 [68] 100.0% [71] 220(1.7%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [74] 100.0% ----------------------------------------------------------------------- f6 [68] 100.0% [72] 202(1.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [68] 100.0% ----------------------------------------------------------------------- ??? [77] 0.0% make-exacts* [53] 0.4% match-e [34] 1.1% extract-alt [18] 1.1% parse-loop12 [88] 1.3% f6 [68] 2.2% map [70] 2.2% for-loop [42] 2.3% append-map [28] 2.3% post-process [16] 3.3% loop [73] 83.9% [73] 9368(73.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 83.9% ??? [77] 2.5% taylor-alt [35] 2.3% curried [80] 2.3% completely-simplify-alt [4] 2.2% simplify [64] 2.2% ??? [79] 1.3% simplify [3] 1.1% foldl [82] 1.1% localize-error [78] 1.1% real->bigfloat [83] 0.0% ----------------------------------------------------------------------- parse-app [71] 100.0% [74] 220(1.7%) 220(1.7%) loop .../collects/racket/private/stxcase.rkt:112:7 ----------------------------------------------------------------------- map [70] 100.0% [75] 202(1.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [81]100.0% ----------------------------------------------------------------------- map [70] 100.0% [76] 200(1.6%) 200(1.6%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ----------------------------------------------------------------------- loop [73] 100.0% [77] 7108(55.8%) 454(3.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [83] 57.8% ??? [84] 21.8% ??? [94] 7.5% loop [73] 6.6% ----------------------------------------------------------------------- post-process [16] 50.0% loop [73] 50.0% [78] 400(3.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [85] 100.0% ----------------------------------------------------------------------- map [70] 25.0% loop [73] 75.0% [79] 400(3.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [85] 87.5% map [70] 12.5% ----------------------------------------------------------------------- loop [73] 100.0% [80] 220(1.7%) 220(1.7%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- make-multiplication-node [75] 100.0% [81] 202(1.6%) 202(1.6%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- loop [73] 100.0% [82] 200(1.6%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [86] 100.0% ----------------------------------------------------------------------- loop [73] 10.2% ??? [77] 89.8% [83] 4572(35.9%) 3390(26.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 25.9% ----------------------------------------------------------------------- ??? [77] 100.0% [84] 1548(12.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 49.9% bf* [89] 33.9% ...higher-order.rkt:373:33 [91] 16.3% ----------------------------------------------------------------------- for-loop [13] 2.5% for-loop [12] 2.5% ??? [90] 6.6% localize-error [78] 12.1% ??? [87] 15.7% iterate-diagonal [67] 16.2% ??? [79] 20.1% loop [58] 24.3% [85] 1244(9.8%) 202(1.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [87] 33.4% parse-loop12 [88] 24.1% f6 [68] 8.0% ??? [90] 6.6% simplify [64] 6.6% ??? [6] 2.5% ??? [5] 2.5% ----------------------------------------------------------------------- foldl [82] 100.0% [86] 200(1.6%) 200(1.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- hash-ref! [85] 100.0% [87] 642(5.0%) 220(1.7%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [85] 65.7% ----------------------------------------------------------------------- map [70] 35.5% hash-ref! [85] 64.5% [88] 620(4.9%) 220(1.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [73] 48.4% ??? [92] 16.1% ----------------------------------------------------------------------- ??? [84] 100.0% [89] 524(4.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [90] 422(3.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [85] 100.0% ----------------------------------------------------------------------- ??? [84] 100.0% [91] 252(2.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ----------------------------------------------------------------------- parse-loop12 [88] 13.4% bf* [89] 35.0% ??? [84] 51.6% [92] 1496(11.7%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [95] 51.9% ??? [96] 48.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [91] 100.0% [93] 252(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- ??? [93] 32.1% ??? [77] 67.9% [94] 786(6.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [92] 100.0% [95] 776(6.1%) 530(4.2%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 31.7% ----------------------------------------------------------------------- ??? [92] 47.8% ??? [94] 52.2% [96] 1506(11.8%) 980(7.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 34.9% ----------------------------------------------------------------------- bfsub [95] 17.2% real->bigfloat [83] 82.8% [97] 1428(11.2%) 1428(11.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 526(4.1%) 526(4.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 -----------------------------------------------------------------------