Profiling results ----------------- Total cpu time observed: 13324ms (out of 13600ms) Number of samples taken: 56 (once every 238ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [28] 100.0% [1] 12878(96.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [2] 3960(29.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [8] 50.8% for-loop [9] 39.1% get-final-combination [10] 10.2% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [3] 402(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [4] 400(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [5] 202(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [6] 200(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 12878(96.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2010(15.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1548(11.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 402(3.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [11] 402(3.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [49] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [12] 400(3.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [19] 50.0% hash-ref! [49] 50.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 202(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 200(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [49] 100.0% ---------------------------------------------------------------------- finalize-table! [8] 100.0% [15] 2010(15.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [20] 50.0% loop [62] 30.0% ??? [27] 10.0% localize-error [22] 10.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [16] 1548(11.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 55.8% localize-error [22] 15.5% finalize-iter! [23] 14.3% choose-best-alt! [24] 14.3% ---------------------------------------------------------------------- get-final-combination [10] 100.0% [17] 402(3.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% ---------------------------------------------------------------------- for-loop [13] 100.0% [18] 202(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [49] 100.0% ---------------------------------------------------------------------- for-loop [12] 100.0% [19] 200(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [49] 100.0% ---------------------------------------------------------------------- post-process [15] 100.0% [20] 1006(7.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [25] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [21] 864(6.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ---------------------------------------------------------------------- post-process [15] 31.2% loop [62] 31.5% run-iter! [16] 37.4% [22] 642(4.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [49] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [23] 222(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [24] 222(1.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [27] 100.0% ---------------------------------------------------------------------- simplify-node [59] 10.0% for-loop [20] 90.0% [25] 1006(7.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [29] 79.9% loop [62] 10.0% f6 [56] 10.0% ---------------------------------------------------------------------- simplify! [21] 100.0% [26] 864(6.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ---------------------------------------------------------------------- post-process [15] 31.3% choose-best-alt! [24] 34.4% finalize-iter! [23] 34.4% [27] 646(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 65.6% atab-pick-alt8 [31] 34.4% ---------------------------------------------------------------------- for-loop [26] 2.2% run [7] 47.2% [28] 13324(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [32] 36.8% run-improve58 [2] 13.8% simplify [66] 2.2% ---------------------------------------------------------------------- loop [62] 20.1% append-map [25] 79.9% [29] 1006(7.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [30] 424(3.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [31] 222(1.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [35] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [32] 9364(70.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [36] 45.0% make-exacts* [40] 32.1% loop [41] 22.9% ---------------------------------------------------------------------- taylor-alt [29] 100.0% [33] 1006(7.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [37] 100.0% ---------------------------------------------------------------------- for-loop [30] 100.0% [34] 424(3.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [38] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [31] 100.0% [35] 222(1.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [39] 100.0% ---------------------------------------------------------------------- loop [32] 100.0% [36] 4216(31.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 43.2% make-exacts* [40] 35.9% eval-prog [47] 20.9% ---------------------------------------------------------------------- location-do [37] 23.3% for-loop [33] 76.7% [37] 1006(7.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [42] 56.6% location-do [37] 23.3% simplify [51] 20.1% ---------------------------------------------------------------------- atab-add-altn [34] 100.0% [38] 424(3.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [46] 100.0% ---------------------------------------------------------------------- ??? [35] 100.0% [39] 222(1.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [43] 100.0% ---------------------------------------------------------------------- loop [36] 33.5% loop [32] 66.5% [40] 4518(33.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [62] 50.4% map [60] 40.0% eval-prog [47] 9.6% ---------------------------------------------------------------------- loop [36] 45.9% loop [32] 54.1% [41] 3966(29.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ---------------------------------------------------------------------- location-do [37] 100.0% [42] 804(6.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [44] 74.9% f6 [56] 25.1% ---------------------------------------------------------------------- best-alt [39] 100.0% [43] 222(1.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [45] 100.0% ---------------------------------------------------------------------- approximate9 [42] 100.0% [44] 602(4.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [49] 100.0% ---------------------------------------------------------------------- argmins [43] 100.0% [45] 222(1.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [46] 100.0% ---------------------------------------------------------------------- composed [45] 34.4% best-and-tied-at-points [38] 65.6% [46] 646(4.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [48] 65.6% eval-prog [47] 34.4% ---------------------------------------------------------------------- errors [46] 14.5% make-exacts* [40] 28.3% loop [36] 57.3% [47] 1536(11.5%) 222(1.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [49] 85.5% ---------------------------------------------------------------------- errors [46] 100.0% [48] 424(3.2%) 202(1.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ->flonum [63] 52.4% ---------------------------------------------------------------------- for-loop [12] 1.1% for-loop [14] 1.1% for-loop [18] 2.0% ??? [54] 2.2% ??? [19] 2.6% for-loop [11] 3.1% ??? [52] 5.7% loop [44] 5.7% ??? [67] 12.5% localize-error [22] 12.5% loop [62] 13.4% eval-prog [47] 38.0% [49] 2558(19.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [50] 38.0% parse-loop12 [55] 20.4% ??? [53] 13.4% ??? [52] 5.7% simplify [51] 5.7% f6 [56] 4.7% ??? [4] 3.7% ??? [3] 3.1% ??? [54] 2.2% ??? [5] 2.0% ??? [6] 1.1% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [50] 1314(9.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [57] 64.5% bfcanonicalize [58] 35.5% ---------------------------------------------------------------------- taylor-sqrt [64] 20.1% location-do [37] 20.1% hash-ref! [49] 59.8% [51] 1006(7.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [55] 40.2% f6 [56] 39.8% simplify-node [59] 20.1% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [52] 602(4.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [49] 100.0% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [53] 428(3.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [62] 100.0% ---------------------------------------------------------------------- hash-ref! [49] 100.0% [54] 200(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [49] 100.0% ---------------------------------------------------------------------- map [60] 8.0% simplify [51] 19.5% parse-loop12 [55] 21.0% hash-ref! [49] 51.5% [55] 1246(9.4%) 604(4.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 43.5% parse-loop12 [55] 21.0% map [60] 8.0% ---------------------------------------------------------------------- f6 [56] 9.7% approximate9 [42] 9.7% map [60] 12.8% append-map [25] 19.3% hash-ref! [49] 23.0% simplify [51] 25.5% [56] 1044(7.8%) 200(1.5%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [60] 51.8% gather-additive-terms6 [61] 19.3% f6 [56] 9.7% ---------------------------------------------------------------------- bigfloat-hash [50] 100.0% [57] 848(6.4%) 848(6.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bigfloat-hash [50] 100.0% [58] 466(3.5%) 466(3.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- simplify [51] 100.0% [59] 202(1.5%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [25] 100.0% ---------------------------------------------------------------------- ??? [67] 1.8% parse-loop12 [55] 3.0% f6 [56] 7.9% make-exacts* [40] 27.3% loop [41] 60.0% [60] 6614(49.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 85.9% ??? [65] 3.2% taylor-sqrt [64] 3.1% ??? [67] 3.0% f6 [56] 2.0% ->flonum [63] 1.8% parse-loop12 [55] 1.0% ---------------------------------------------------------------------- f6 [56] 100.0% [61] 202(1.5%) 202(1.5%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 ---------------------------------------------------------------------- make-exacts* [40] 0.2% post-process [15] 0.4% parse-loop12 [55] 0.7% map [60] 1.8% append-map [25] 2.0% extract-alt [17] 2.7% ??? [53] 4.3% loop [62] 87.9% [62] 9912(74.4%) 230(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 87.9% hash-ref! [49] 4.3% simplify [66] 2.7% taylor-alt [29] 2.0% ??? [65] 1.3% ??? [67] 1.2% completely-simplify-alt [68] 0.4% ...higher-order.rkt:373:33 [76] 0.0% localize-error [22] 0.0% bffma [69] 0.0% ---------------------------------------------------------------------- for-loop [48] 48.1% map [60] 51.9% [63] 462(3.5%) 222(1.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [86] 51.9% ---------------------------------------------------------------------- map [60] 100.0% [64] 202(1.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [51] 100.0% ---------------------------------------------------------------------- map [60] 2.7% loop [62] 97.3% [65] 7820(58.7%) 242(1.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [70] 66.1% real->bigfloat [71] 27.9% ??? [83] 2.9% ---------------------------------------------------------------------- loop [62] 31.8% ??? [28] 68.2% [66] 1266(9.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [72] 100.0% ---------------------------------------------------------------------- map [60] 31.2% loop [62] 68.8% [67] 642(4.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [49] 81.3% map [60] 18.7% ---------------------------------------------------------------------- loop [62] 100.0% [68] 400(3.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [72] 100.0% ---------------------------------------------------------------------- loop [62] 100.0% [69] 202(1.5%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [73] 100.0% ---------------------------------------------------------------------- ??? [65] 100.0% [70] 5170(38.8%) 200(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [74] 83.2% ...higher-order.rkt:373:33 [76] 13.0% ---------------------------------------------------------------------- ??? [65] 100.0% [71] 2184(16.4%) 1984(14.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [82] 9.2% ---------------------------------------------------------------------- completely-simplify-alt [68] 24.0% simplify [66] 76.0% [72] 1666(12.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [75] 100.0% ---------------------------------------------------------------------- bffma [69] 100.0% [73] 202(1.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [74] 100.0% ---------------------------------------------------------------------- bf* [73] 4.5% ??? [70] 95.5% [74] 4502(33.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [77] 58.9% ??? [86] 25.7% bfsqrt [79] 15.4% ---------------------------------------------------------------------- simplify-expr [72] 100.0% [75] 1666(12.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [78] 86.7% debug-print [81] 13.3% ---------------------------------------------------------------------- loop [62] 23.0% ??? [70] 77.0% [76] 870(6.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [80] 75.2% ??? [83] 24.8% ---------------------------------------------------------------------- ??? [74] 100.0% [77] 2652(19.9%) 1738(13.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [82] 34.5% ---------------------------------------------------------------------- iterate-egraph!5 [75] 100.0% [78] 1444(10.8%) 200(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [84] 70.9% loop [85] 15.2% ---------------------------------------------------------------------- ??? [74] 100.0% [79] 692(5.2%) 692(5.2%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [76]100.0% [80] 654(4.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [83] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [75] 100.0% [81] 222(1.7%) 222(1.7%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- real->bigfloat [71] 18.0% bfmul [77] 82.0% [82] 1114(8.4%) 1114(8.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [76] 19.7% ??? [65] 20.5% ??? [80] 59.8% [83] 1094(8.2%) 200(1.5%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 81.7% ---------------------------------------------------------------------- for-loop [84] 50.0% one-iter [78] 50.0% [84] 1024(7.7%) 202(1.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [84] 50.0% match-e [87] 40.1% ---------------------------------------------------------------------- one-iter [78] 100.0% [85] 220(1.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [88] 100.0% ---------------------------------------------------------------------- ->flonum [63] 10.5% ??? [83] 39.0% ??? [74] 50.5% [86] 2292(17.2%) 2068(15.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 9.8% ---------------------------------------------------------------------- for-loop [84] 100.0% [87] 822(6.2%) 602(4.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [90] 26.8% ---------------------------------------------------------------------- loop [85] 100.0% [88] 220(1.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [91] 100.0% ---------------------------------------------------------------------- ??? [86] 100.0% [89] 224(1.7%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 100.0% ---------------------------------------------------------------------- match-e [87] 100.0% [90] 220(1.7%) 220(1.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- apply-match [88] 100.0% [91] 220(1.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [93] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [92] 224(1.7%) 224(1.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- substitute-e [91] 100.0% [93] 220(1.7%) 220(1.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------