Profiling results ----------------- Total cpu time observed: 46828ms (out of 47492ms) Number of samples taken: 204 (once every 230ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 97 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [12] 100.0% [1] 45724(97.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ location-do [41] 100.0% [2] 16750(35.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [8] 97.4% f37 [45] 2.6% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [3] 11146(23.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [9] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [4] 10362(22.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [10] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [5] 6230(13.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [6] 692(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [57] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.0% [7] 46166(98.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [12] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [8] 16308(34.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [3] 100.0% [9] 11146(23.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [13] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [10] 10362(22.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [11] 6230(13.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [54] 100.0% ------------------------------------------------------------------------ for-loop [33] 0.6% run [7] 49.5% [12] 46828(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.5% loop [16] 29.5% run-improve58 [14] 21.4% simplify [15] 0.6% ------------------------------------------------------------------------ for-loop [9] 100.0% [13] 11146(23.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [12] 100.0% [14] 20076(42.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [17] 82.4% for-loop [18] 16.5% loop [16] 1.2% ------------------------------------------------------------------------ ??? [12] 100.0% [15] 812(1.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [74] 75.1% simplify-expr [69] 24.9% ------------------------------------------------------------------------ run-improve58 [14] 0.9% ??? [12] 99.1% [16] 26984(57.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [20] 45.5% make-exacts* [23] 42.3% loop [25] 11.4% for-loop [22] 0.8% ------------------------------------------------------------------------ run-improve58 [14] 100.0% [17] 16540(35.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [19] 100.0% ------------------------------------------------------------------------ run-improve58 [14] 100.0% [18] 3304(7.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% ------------------------------------------------------------------------ finalize-table! [17] 100.0% [19] 16540(35.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [24] 89.9% loop [57] 8.8% ??? [34] 1.3% ------------------------------------------------------------------------ loop [16] 100.0% [20] 12284(26.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [25] 51.2% make-exacts* [23] 45.1% eval-prog [46] 3.7% ------------------------------------------------------------------------ for-loop [18] 100.0% [21] 3304(7.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [26] 63.3% simplify! [27] 24.6% finalize-iter! [30] 6.1% localize-error [28] 6.1% ------------------------------------------------------------------------ loop [16] 100.0% [22] 220(0.5%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [29] 100.0% ------------------------------------------------------------------------ loop [20] 32.7% loop [16] 67.3% [23] 16944(36.2%) 222(0.5%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [57] 56.4% map [49] 41.0% eval-prog [46] 1.4% ------------------------------------------------------------------------ post-process [19] 100.0% [24] 14872(31.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% ------------------------------------------------------------------------ loop [16] 32.8% loop [20] 67.2% [25] 9360(20.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [49] 100.0% ------------------------------------------------------------------------ run-iter! [21] 100.0% [26] 2092(4.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ------------------------------------------------------------------------ run-iter! [21] 100.0% [27] 812(1.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [33] 100.0% ------------------------------------------------------------------------ run-iter! [21] 50.0% loop [57] 50.0% [28] 400(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 50.0% sort [35] 50.0% ------------------------------------------------------------------------ for-loop [22] 100.0% [29] 220(0.5%) 220(0.5%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ------------------------------------------------------------------------ run-iter! [21] 100.0% [30] 200(0.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ------------------------------------------------------------------------ for-loop [24] 100.0% [31] 14872(31.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [36] 90.3% loop [57] 9.7% ------------------------------------------------------------------------ gen-series! [26] 100.0% [32] 2092(4.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ------------------------------------------------------------------------ simplify! [27] 100.0% [33] 812(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [12] 100.0% ------------------------------------------------------------------------ finalize-iter! [30] 47.6% post-process [19] 52.4% [34] 420(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 100.0% ------------------------------------------------------------------------ localize-error [28] 100.0% [35] 200(0.4%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 errors-score [38] 100.0% ------------------------------------------------------------------------ loop [57] 8.5% for-loop [32] 12.3% append-map [31] 79.1% [36] 16964(36.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ------------------------------------------------------------------------ ??? [34] 100.0% [37] 420(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ------------------------------------------------------------------------ sort [35] 100.0% [38] 200(0.4%) 200(0.4%) errors-score ...atlock/herbie/src/points.rkt:154:0 ------------------------------------------------------------------------ taylor-alt [36] 100.0% [39] 16964(36.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% ------------------------------------------------------------------------ for-loop [37] 100.0% [40] 420(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [42] 100.0% ------------------------------------------------------------------------ for-loop [39] 36.4% location-do [41] 63.6% [41] 16964(36.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [41] 63.6% approximate9 [2] 36.2% simplify [43] 0.2% ------------------------------------------------------------------------ atab-add-altn [40] 100.0% [42] 420(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [44] 100.0% ------------------------------------------------------------------------ location-do [41] 1.3% hash-ref! [68] 98.7% [43] 16762(35.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [54] 54.3% f37 [45] 44.5% debug7 [47] 1.2% ------------------------------------------------------------------------ best-and-tied-at-points [42] 100.0% [44] 420(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [46] 52.4% for-loop [48] 47.6% ------------------------------------------------------------------------ f37 [45] 1.3% hash-ref! [68] 2.3% approximate9 [2] 2.6% loop [57] 6.9% map [49] 14.5% parse-loop50 [54] 15.4% simplify [43] 57.0% [45] 8528(18.2%) 1860(4.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [49] 75.2% taylor-sqrt [50] 2.6% compose [51] 2.4% parse-app [59] 2.4% make-keyword-procedure [53] 2.3% f37 [45] 1.3% ------------------------------------------------------------------------ errors [44] 24.1% make-exacts* [23] 25.4% loop [20] 50.4% [46] 912(1.9%) 220(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [68] 75.9% ------------------------------------------------------------------------ simplify [43] 100.0% [47] 202(0.4%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [52] 100.0% ------------------------------------------------------------------------ errors [44] 100.0% [48] 200(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [63] 100.0% ------------------------------------------------------------------------ parse-loop50 [54] 8.3% f37 [45] 26.7% make-exacts* [23] 27.7% loop [25] 37.4% [49] 25052(53.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [57] 68.5% parse-loop50 [54] 25.4% f37 [45] 4.9% ??? [55] 1.1% ------------------------------------------------------------------------ f37 [45] 100.0% [50] 442(0.9%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [68] 100.0% ------------------------------------------------------------------------ f37 [45] 100.0% [51] 202(0.4%) 202(0.4%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ debug7 [47] 100.0% [52] 202(0.4%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [56] 100.0% ------------------------------------------------------------------------ f37 [45] 100.0% [53] 200(0.4%) 200(0.4%) make-keyword-procedure ...ket/private/kw.rkt:216:4 ------------------------------------------------------------------------ hash-ref! [68] 1.2% loop [57] 9.8% for-loop [11] 16.3% simplify [43] 20.4% map [49] 26.1% parse-loop50 [54] 26.3% [54] 16748(35.8%) 12206(26.1%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [54] 26.3% for-loop [58] 15.1% loop [57] 12.5% f37 [45] 8.1% map [49] 6.6% parse-app [59] 1.6% make-multiplication-node [61] 0.3% ------------------------------------------------------------------------ map [49] 100.0% [55] 422(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 foldl [60] 52.1% pattern-match [62] 47.9% ------------------------------------------------------------------------ ??? [52] 100.0% [56] 202(0.4%) 202(0.4%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------ make-exacts* [23] 0.1% post-process [19] 0.4% ??? [6] 1.9% append-map [31] 3.1% map [49] 3.7% parse-loop50 [54] 12.7% loop [57] 78.1% [57] 35902(76.7%) 512(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [57] 78.1% parse-loop50 [54] 12.6% taylor-alt [36] 3.1% f37 [45] 2.7% hash-ref! [68] 1.9% ??? [63] 1.2% completely-simplify-alt [64] 0.3% ->flonum [65] 0.0% localize-error [28] 0.0% ??? [71] 0.0% ------------------------------------------------------------------------ parse-loop50 [54] 100.0% [58] 6028(12.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [68] 100.0% ------------------------------------------------------------------------ f37 [45] 19.3% parse-loop50 [54] 80.7% [59] 1048(2.2%) 1048(2.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ ??? [55] 100.0% [60] 220(0.5%) 220(0.5%) foldl ...et/collects/racket/private/list.rkt:229:4 ------------------------------------------------------------------------ parse-loop50 [54] 100.0% [61] 220(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [66]100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [62] 202(0.4%) 202(0.4%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------ for-loop [48] 0.8% loop [57] 99.2% [63] 24632(52.6%) 714(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [67] 94.0% real->bigfloat [70] 3.1% ------------------------------------------------------------------------ loop [57] 100.0% [64] 1248(2.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [69] 100.0% ------------------------------------------------------------------------ loop [57] 100.0% [65] 906(1.9%) 470(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [88] 48.1% ------------------------------------------------------------------------ make-multiplication-node [61] 100.0% [66] 220(0.5%) 220(0.5%) make-multiplication-subnode ...re/reduce.rkt:231:0 ------------------------------------------------------------------------ ??? [63] 100.0% [67] 23166(49.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [71] 97.1% ...higher-order.rkt:373:33 [76] 2.0% ------------------------------------------------------------------------ localize-error [28] 0.4% taylor-sqrt [50] 0.7% eval-prog [46] 1.7% ??? [73] 2.2% loop [57] 2.2% for-loop [58] 7.7% for-loop [10] 13.7% for-loop [13] 16.2% ??? [72] 26.6% loop [8] 27.8% [68] 17642(37.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [43] 28.1% ??? [72] 26.6% ??? [3] 16.2% ??? [4] 13.7% ??? [5] 8.1% ??? [6] 2.2% ??? [73] 2.2% bigfloat-hash [75] 1.7% parse-loop50 [54] 0.8% f37 [45] 0.4% ------------------------------------------------------------------------ simplify [15] 13.9% completely-simplify-alt [64] 86.1% [69] 1450(3.1%) 222(0.5%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [74] 56.8% loop [77] 27.9% ------------------------------------------------------------------------ ??? [63] 100.0% [70] 752(1.6%) 538(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [84] 28.5% ------------------------------------------------------------------------ loop [57] 0.9% ??? [67] 99.1% [71] 22704(48.5%) 16992(36.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [78] 11.5% ??? [88] 7.3% bflog [79] 6.4% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [72] 16106(34.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [73] 1930(4.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [68] 100.0% ------------------------------------------------------------------------ simplify [15] 42.5% simplify-expr [69] 57.5% [74] 1434(3.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [80] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [75] 692(1.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [81] 100.0% ------------------------------------------------------------------------ ??? [67] 100.0% [76] 462(1.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 52.4% ??? [86] 47.6% ------------------------------------------------------------------------ simplify-expr [69] 100.0% [77] 404(0.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [82] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [78] 2600(5.6%) 1586(3.4%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [84] 39.0% ------------------------------------------------------------------------ ??? [71] 100.0% [79] 1456(3.1%) 1228(2.6%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [84] 15.7% ------------------------------------------------------------------------ iterate-egraph!5 [74] 100.0% [80] 1434(3.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [85] 100.0% ------------------------------------------------------------------------ bigfloat-hash [75] 100.0% [81] 692(1.5%) 692(1.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ loop [77] 100.0% [82] 404(0.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [87] 100.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [76] 100.0% [83] 242(0.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 100.0% ------------------------------------------------------------------------ real->bigfloat [70] 14.7% bflog [79] 15.7% bfexpt [78] 69.6% [84] 1456(3.1%) 1456(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ for-loop [85] 50.0% one-iter [80] 50.0% [85] 1434(3.1%) 402(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [85] 50.0% match-e [89] 36.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [76] 47.6% ??? [83] 52.4% [86] 462(1.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [88] 100.0% ------------------------------------------------------------------------ pass [82] 100.0% [87] 404(0.9%) 202(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [90] 50.0% ------------------------------------------------------------------------ ->flonum [65] 17.1% ??? [86] 18.1% ??? [71] 64.8% [88] 2554(5.5%) 696(1.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 72.7% ------------------------------------------------------------------------ for-loop [85] 100.0% [89] 1032(2.2%) 824(1.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 list-cartesian-product [92] 20.2% ------------------------------------------------------------------------ for-loop [87] 100.0% [90] 202(0.4%) 202(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ ??? [88] 100.0% [91] 1858(4.0%) 706(1.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 62.0% ------------------------------------------------------------------------ list-cartesian-product [92] 50.0% match-e [89] 50.0% [92] 208(0.4%) 208(0.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [92] 50.0% ------------------------------------------------------------------------ ??? [91] 100.0% [93] 1152(2.5%) 1152(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------