Profiling results ----------------- Total cpu time observed: 21018ms (out of 22840ms) Number of samples taken: 93 (once every 226ms) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [31] 100.0% [1] 20200(96.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ------------------------------------------------------------------ ??? [31] 100.0% [2] 5334(25.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [12] 96.3% loop [36] 3.7% ------------------------------------------------------------------ location-do [42] 100.0% [3] 2874(13.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [13] 79.0% f37 [59] 14.1% taylor-sqrt [16] 7.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [4] 2268(10.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [5] 2066(9.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [6] 668(3.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [58] 100.0% ------------------------------------------------------------------ loop [58] 100.0% [7] 218(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 100.0% ------------------------------------------------------------------ f37 [59] 100.0% [8] 202(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [17] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [9] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [19] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [10] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [18] 100.0% ------------------------------------------------------------------ profile-thunk14 [1] 100.0% [11] 20200(96.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 5138(24.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ------------------------------------------------------------------ approximate9 [3] 100.0% [13] 2270(10.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ------------------------------------------------------------------ ??? [4] 100.0% [14] 2268(10.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [62] 100.0% ------------------------------------------------------------------ ??? [5] 100.0% [15] 2066(9.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [22] 100.0% ------------------------------------------------------------------ approximate9 [3] 49.8% f37 [59] 50.2% [16] 402(1.9%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [62] 100.0% ------------------------------------------------------------------ taylor-invert [8] 100.0% [17] 202(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [21] 100.0% ------------------------------------------------------------------ ??? [10] 100.0% [18] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [68] 100.0% ------------------------------------------------------------------ ??? [9] 100.0% [19] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [21] 100.0% ------------------------------------------------------------------ for-loop [12] 100.0% [20] 5138(24.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [23] 55.9% simplify! [24] 20.0% finalize-iter! [25] 16.0% localize-error [26] 4.2% choose-best-alt! [27] 3.9% ------------------------------------------------------------------ for-loop [19] 7.0% first-nonzero-exp [17] 7.0% hash-ref! [62] 86.0% [21] 2874(13.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [68] 64.9% f37 [59] 35.1% ------------------------------------------------------------------ for-loop [15] 100.0% [22] 2066(9.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [62] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [23] 2874(13.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [24] 1026(4.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [25] 820(3.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [26] 218(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ------------------------------------------------------------------ run-iter! [20] 100.0% [27] 200(1.0%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [30] 100.0% ------------------------------------------------------------------ gen-series! [23] 100.0% [28] 2874(13.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ------------------------------------------------------------------ simplify! [24] 100.0% [29] 1026(4.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 80.3% debug7 [34] 19.7% ------------------------------------------------------------------ choose-best-alt! [27] 19.6% finalize-iter! [25] 80.4% [30] 1020(4.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 80.4% atab-pick-alt8 [35] 19.6% ------------------------------------------------------------------ for-loop [29] 1.3% run [11] 47.9% [31] 20796(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.9% loop [36] 38.1% run-improve58 [2] 12.6% simplify [38] 1.3% ------------------------------------------------------------------ for-loop [28] 100.0% [32] 2874(13.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ------------------------------------------------------------------ ??? [30] 100.0% [33] 820(3.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ------------------------------------------------------------------ for-loop [29] 100.0% [34] 202(1.0%) 202(1.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ------------------------------------------------------------------ ??? [30] 100.0% [35] 200(1.0%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [40] 100.0% ------------------------------------------------------------------ run-improve58 [2] 1.3% ??? [31] 98.7% [36] 15658(74.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [41] 51.2% make-exacts* [48] 41.4% loop [49] 7.4% ------------------------------------------------------------------ taylor-alt [32] 100.0% [37] 2874(13.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [42] 100.0% ------------------------------------------------------------------ ??? [31] 100.0% [38] 824(3.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [51] 51.5% simplify-expr [46] 24.3% mk-egraph [44] 24.3% ------------------------------------------------------------------ for-loop [33] 100.0% [39] 820(3.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 75.6% loop [45] 24.4% ------------------------------------------------------------------ atab-pick-alt8 [35] 100.0% [40] 200(1.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [47] 100.0% ------------------------------------------------------------------ loop [36] 100.0% [41] 8014(38.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 50.7% make-exacts* [48] 38.5% eval-prog [50] 10.9% ------------------------------------------------------------------ for-loop [37] 39.2% location-do [42] 60.8% [42] 2874(13.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [42] 60.8% approximate9 [3] 39.2% ------------------------------------------------------------------ atab-add-altn [39] 100.0% [43] 620(2.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [71] 100.0% ------------------------------------------------------------------ simplify [38] 100.0% [44] 200(1.0%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [52] 100.0% ------------------------------------------------------------------ atab-add-altn [39] 100.0% [45] 200(1.0%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [53] 100.0% ------------------------------------------------------------------ simplify [38] 100.0% [46] 200(1.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [51] 100.0% ------------------------------------------------------------------ ??? [40] 100.0% [47] 200(1.0%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [54] 100.0% ------------------------------------------------------------------ loop [41] 32.2% loop [36] 67.8% [48] 9574(45.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [58] 52.8% map [55] 47.2% ------------------------------------------------------------------ loop [36] 22.1% loop [41] 77.9% [49] 5214(24.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [55] 100.0% ------------------------------------------------------------------ loop [41] 100.0% [50] 870(4.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [62] 76.8% inductor [57] 23.2% ------------------------------------------------------------------ simplify-expr [46] 32.1% simplify [38] 67.9% [51] 624(3.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [56] 100.0% ------------------------------------------------------------------ mk-egraph [44] 100.0% [52] 200(1.0%) 200(1.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 ------------------------------------------------------------------ loop [45] 100.0% [53] 200(1.0%) 200(1.0%) loop ...cket/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------ best-alt [47] 100.0% [54] 200(1.0%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [64] 100.0% ------------------------------------------------------------------ parse-loop12 [68] 3.9% f37 [59] 5.6% make-exacts* [48] 42.0% loop [49] 48.5% [55] 10760(51.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 86.4% parse-loop12 [68] 7.7% ??? [82] 4.0% f37 [59] 1.9% ------------------------------------------------------------------ iterate-egraph!5 [51] 100.0% [56] 624(3.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [60] 100.0% ------------------------------------------------------------------ eval-prog [50] 33.3% inductor [57] 66.7% [57] 202(1.0%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [57] 66.7% integer->bigfloat [61] 33.3% ------------------------------------------------------------------ make-exacts* [48] 0.3% parse-loop12 [68] 1.7% map [55] 3.5% ??? [6] 4.2% loop [58] 90.3% [58] 15866(75.5%) 234(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 90.3% hash-ref! [62] 4.2% ??? [82] 3.6% parse-loop12 [68] 1.7% ->flonum [63] 0.1% ??? [7] 0.0% ??? [87] 0.0% ------------------------------------------------------------------ map [55] 4.8% composed [64] 7.1% f37 [59] 7.2% approximate9 [3] 8.4% parse-loop12 [68] 21.3% simplify [21] 51.3% [59] 1408(6.7%) 402(1.9%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [55] 33.5% composed [64] 21.3% f37 [59] 7.2% append-map [67] 7.1% taylor-sqrt [16] 4.8% taylor-invert [8] 3.6% compose [66] 3.6% ------------------------------------------------------------------ for-loop [60] 50.0% one-iter [56] 50.0% [60] 624(3.0%) 222(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [60] 50.0% match-e [65] 32.2% ------------------------------------------------------------------ inductor [57] 100.0% [61] 202(1.0%) 202(1.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------ for-loop [81] 1.4% ??? [7] 3.1% localize-error [26] 3.1% eval-prog [50] 4.4% ??? [70] 6.3% taylor-sqrt [16] 7.1% for-loop [22] 12.7% loop [58] 14.4% ??? [69] 15.5% loop [13] 15.5% for-loop [14] 16.6% [62] 3558(16.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [21] 21.2% ??? [4] 16.6% ??? [69] 15.5% ??? [6] 14.4% ??? [5] 12.7% ??? [70] 6.3% parse-loop12 [68] 6.1% bigfloat-hash [72] 4.4% ??? [10] 1.4% ??? [9] 1.4% ------------------------------------------------------------------ loop [58] 100.0% [63] 670(3.2%) 254(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [73] 32.5% ??? [76] 29.6% ------------------------------------------------------------------ loop [54] 33.3% f37 [59] 66.7% [64] 600(2.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 parse-loop12 [68] 33.3% errors [71] 33.3% f37 [59] 33.3% ------------------------------------------------------------------ for-loop [60] 100.0% [65] 402(1.9%) 200(1.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [74] 50.2% ------------------------------------------------------------------ f37 [59] 100.0% [66] 202(1.0%) 202(1.0%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------ f37 [59] 100.0% [67] 200(1.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 free-variables [75] 100.0% ------------------------------------------------------------------ composed [64] 1.5% loop [58] 3.0% for-loop [18] 7.4% hash-ref! [62] 8.1% map [55] 18.3% simplify [21] 27.3% parse-loop12 [68] 34.4% [68] 2688(12.8%) 2070(9.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [68] 34.4% loop [58] 11.1% for-loop [81] 7.4% f37 [59] 3.3% map [55] 3.2% ------------------------------------------------------------------ hash-ref! [62] 100.0% [69] 2270(10.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [70] 1046(5.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [62] 100.0% ------------------------------------------------------------------ composed [64] 24.4% best-and-tied-at-points [43] 75.6% [71] 820(3.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [77] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [72] 668(3.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [78] 65.3% sig+exp->bigfloat [79] 34.7% ------------------------------------------------------------------ ->flonum [63] 100.0% [73] 218(1.0%) 218(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------ match-e [65] 100.0% [74] 202(1.0%) 202(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ------------------------------------------------------------------ append-map [67] 100.0% [75] 200(1.0%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [80] 100.0% ------------------------------------------------------------------ ->flonum [63] 100.0% [76] 198(0.9%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [91] 100.0% ------------------------------------------------------------------ errors [71] 100.0% [77] 820(3.9%) 220(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 73.2% ------------------------------------------------------------------ bigfloat-hash [72] 100.0% [78] 436(2.1%) 436(2.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------ bigfloat-hash [72] 100.0% [79] 232(1.1%) 232(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------ free-variables [75] 100.0% [80] 200(1.0%) 200(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------ parse-loop12 [68] 100.0% [81] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [62] 100.0% ------------------------------------------------------------------ map [55] 2.9% for-loop [77] 4.1% loop [58] 93.0% [82] 14706(70.0%) 1432(6.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 65.5% real->bigfloat [84] 18.7% ??? [85] 4.4% new [86] 1.6% ------------------------------------------------------------------ ??? [82] 100.0% [83] 9638(45.9%) 400(1.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 95.8% ------------------------------------------------------------------ ??? [82] 100.0% [84] 2754(13.1%) 1788(8.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 35.1% ------------------------------------------------------------------ ??? [82] 100.0% [85] 648(3.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [88] 100.0% ------------------------------------------------------------------ ??? [82] 100.0% [86] 234(1.1%) 234(1.1%) new ...cket/contract/private/case-arrow.rkt:227:53 ------------------------------------------------------------------ loop [58] 2.3% ??? [83] 97.7% [87] 9456(45.0%) 2546(12.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [89] 31.5% ??? [88] 24.8% bfexpt [90] 16.8% ------------------------------------------------------------------ ??? [85] 21.6% ??? [87] 78.4% [88] 2994(14.2%) 1586(7.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 32.0% ??? [93] 15.0% ------------------------------------------------------------------ ??? [87] 100.0% [89] 2980(14.2%) 2084(9.9%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [91] 30.1% ------------------------------------------------------------------ ??? [87] 100.0% [90] 1584(7.5%) 470(2.2%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [91] 70.3% ------------------------------------------------------------------ ??? [76] 6.2% bfsqr [89] 28.2% real->bigfloat [84] 30.4% bfexpt [90] 35.1% [91] 3174(15.1%) 3174(15.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ ??? [88] 100.0% [92] 958(4.6%) 300(1.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 68.7% ------------------------------------------------------------------ ??? [88] 100.0% [93] 450(2.1%) 450(2.1%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------ ??? [92] 100.0% [94] 658(3.1%) 658(3.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------