Profiling results ----------------- Total cpu time observed: 28534ms (out of 29192ms) Number of samples taken: 117 (once every 244ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 97 hidden) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [44] 100.0% [1] 28314(99.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% ------------------------------------------------------------------- ??? [44] 100.0% [2] 8658(30.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [18] 58.0% for-loop [20] 39.2% loop [50] 2.8% ------------------------------------------------------------------- location-do [87] 100.0% [3] 5906(20.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [17] 92.8% taylor-sqrt [25] 3.8% f37 [19] 3.4% ------------------------------------------------------------------- hash-ref! [69] 100.0% [4] 5704(20.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [19] 63.0% parse-loop12 [65] 37.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [5] 5280(18.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [69] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [6] 2550(8.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [7] 2330(8.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [8] 1886(6.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [69] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [9] 660(2.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [69] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [10] 660(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [23] 100.0% ------------------------------------------------------------------- loop [72] 100.0% [11] 622(2.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [24] 100.0% ------------------------------------------------------------------- ??? [44] 100.0% [12] 422(1.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [30] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [13] 234(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [72] 100.0% ------------------------------------------------------------------- hash-ref! [69] 100.0% [14] 222(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [26] 100.0% ------------------------------------------------------------------- loop [72] 100.0% [15] 220(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% ------------------------------------------------------------------- profile-thunk14 [1] 99.2% [16] 28534(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [44] 100.0% ------------------------------------------------------------------- approximate9 [3] 100.0% [17] 5482(19.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 5024(17.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% ------------------------------------------------------------------- approximate9 [3] 1.3% loop [72] 2.6% append-map [70] 3.5% parse-loop12 [65] 4.7% map [62] 12.8% simplify [4] 75.0% [19] 3798(13.3%) 644(2.3%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [62] 81.7% parse-app [66] 5.8% append-map [70] 1.8% taylor-sqrt [25] 1.3% ------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 3394(11.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [28] 100.0% ------------------------------------------------------------------- ??? [6] 100.0% [21] 2550(8.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [69] 100.0% ------------------------------------------------------------------- ??? [7] 100.0% [22] 2330(8.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [29] 100.0% ------------------------------------------------------------------- ??? [10] 100.0% [23] 660(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [69] 100.0% ------------------------------------------------------------------- completely-simplify-alt [11]100.0% [24] 622(2.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [30] 100.0% ------------------------------------------------------------------- f37 [19] 47.6% approximate9 [3] 52.4% [25] 424(1.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [69] 100.0% ------------------------------------------------------------------- ??? [14] 100.0% [26] 222(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [65] 100.0% ------------------------------------------------------------------- finalize-table! [18] 100.0% [27] 5024(17.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [31] 79.6% loop [72] 12.4% ??? [39] 4.0% localize-error [35] 4.0% ------------------------------------------------------------------- for-loop [20] 100.0% [28] 3394(11.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [32] 56.2% finalize-iter! [33] 24.9% simplify! [36] 12.4% localize-error [35] 6.5% ------------------------------------------------------------------- for-loop [22] 100.0% [29] 2330(8.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [69] 100.0% ------------------------------------------------------------------- simplify [12] 40.4% simplify-expr [24] 59.6% [30] 1044(3.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [34] 78.9% map-enodes [37] 21.1% ------------------------------------------------------------------- post-process [27] 100.0% [31] 3998(14.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [70] 100.0% ------------------------------------------------------------------- run-iter! [28] 100.0% [32] 1908(6.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [38] 100.0% ------------------------------------------------------------------- run-iter! [28] 100.0% [33] 844(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [39] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [34] 824(2.9%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [40] 51.2% apply-match [42] 48.8% ------------------------------------------------------------------- post-process [27] 47.9% run-iter! [28] 52.1% [35] 422(1.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [69] 52.1% sort [43] 47.9% ------------------------------------------------------------------- run-iter! [28] 100.0% [36] 422(1.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [41] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [37] 220(0.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [72] 100.0% ------------------------------------------------------------------- gen-series! [32] 100.0% [38] 1908(6.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [75] 100.0% ------------------------------------------------------------------- post-process [27] 19.3% finalize-iter! [33] 80.7% [39] 1046(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [45] 80.9% atab-add-altns [49] 19.1% ------------------------------------------------------------------- for-loop [40] 50.0% one-iter [34] 50.0% [40] 422(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [40] 50.0% match-e [46] 50.0% ------------------------------------------------------------------- simplify! [36] 100.0% [41] 422(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [44] 100.0% ------------------------------------------------------------------- one-iter [34] 100.0% [42] 402(1.4%) 202(0.7%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [48] 49.8% ------------------------------------------------------------------- localize-error [35] 100.0% [43] 202(0.7%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 loop [47] 100.0% ------------------------------------------------------------------- for-loop [41] 0.5% run [16] 50.1% [44] 28534(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.4% loop [50] 35.2% run-improve58 [2] 14.9% simplify [12] 0.5% ------------------------------------------------------------------- ??? [39] 100.0% [45] 846(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [51] 100.0% ------------------------------------------------------------------- for-loop [40] 100.0% [46] 422(1.5%) 422(1.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ------------------------------------------------------------------- sort [43] 100.0% [47] 202(0.7%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [52] 100.0% ------------------------------------------------------------------- apply-match [42] 100.0% [48] 200(0.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [53] 100.0% ------------------------------------------------------------------- ??? [39] 100.0% [49] 200(0.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [51] 100.0% ------------------------------------------------------------------- run-improve58 [2] 1.2% ??? [44] 98.8% [50] 20116(70.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [54] 50.7% make-exacts* [58] 35.8% loop [59] 12.4% for-loop [56] 1.1% ------------------------------------------------------------------- atab-add-altns [49] 19.1% for-loop [45] 80.9% [51] 1046(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [55] 80.9% loop [57] 19.1% ------------------------------------------------------------------- loop [47] 100.0% [52] 202(0.7%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [72] 100.0% ------------------------------------------------------------------- substitute-e [48] 100.0% [53] 200(0.7%) 200(0.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------- loop [50] 100.0% [54] 10206(35.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [59] 56.0% make-exacts* [58] 41.7% eval-prog [64] 2.3% ------------------------------------------------------------------- atab-add-altn [51] 100.0% [55] 846(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 100.0% ------------------------------------------------------------------- loop [50] 100.0% [56] 220(0.8%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [61] 100.0% ------------------------------------------------------------------- atab-add-altn [51] 100.0% [57] 200(0.7%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [72] 100.0% ------------------------------------------------------------------- loop [54] 37.2% loop [50] 62.8% [58] 11454(40.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 53.9% map [62] 46.1% ------------------------------------------------------------------- loop [50] 30.4% loop [54] 69.6% [59] 8208(28.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [62] 100.0% ------------------------------------------------------------------- best-and-tied-at-points [55]100.0% [60] 846(3.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 74.0% eval-prog [64] 26.0% ------------------------------------------------------------------- for-loop [56] 100.0% [61] 220(0.8%) 220(0.8%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ------------------------------------------------------------------- parse-loop12 [65] 1.7% f37 [19] 18.3% make-exacts* [58] 31.3% loop [59] 48.7% [62] 16858(59.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 80.6% parse-loop12 [65] 15.8% f37 [19] 3.5% ------------------------------------------------------------------- errors [60] 100.0% [63] 626(2.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 100.0% ------------------------------------------------------------------- errors [60] 48.5% loop [54] 51.5% [64] 454(1.6%) 220(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [69] 51.5% ------------------------------------------------------------------- hash-ref! [69] 3.9% for-loop [26] 3.9% loop [72] 8.1% simplify [4] 17.7% parse-loop12 [65] 26.8% map [62] 37.8% [65] 5702(20.0%) 4216(14.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [65] 26.8% loop [72] 11.2% f37 [19] 5.6% map [62] 5.0% for-loop [67] 3.9% simplify-node [68] 3.9% append-map [70] 1.8% parse-app [66] 1.2% ------------------------------------------------------------------- parse-loop12 [65] 47.4% f37 [19] 52.6% [66] 422(1.5%) 422(1.5%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------- parse-loop12 [65] 100.0% [67] 222(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [69] 100.0% ------------------------------------------------------------------- parse-loop12 [65] 100.0% [68] 220(0.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [70] 100.0% ------------------------------------------------------------------- for-loop [67] 0.4% eval-prog [64] 0.9% localize-error [35] 1.2% for-loop [23] 2.0% ??? [9] 2.0% ??? [15] 2.3% loop [72] 2.8% taylor-sqrt [25] 6.7% for-loop [29] 7.3% ??? [8] 8.2% for-loop [21] 9.8% ??? [5] 26.6% loop [17] 29.8% [69] 6360(22.3%) 202(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [4] 33.3% ??? [5] 26.6% ??? [6] 9.8% ??? [8] 8.2% ??? [7] 7.3% ??? [13] 2.8% parse-loop12 [65] 2.3% ??? [9] 2.0% ??? [10] 2.0% bigfloat-hash [71] 0.9% ??? [14] 0.4% ------------------------------------------------------------------- f37 [19] 2.3% parse-loop12 [65] 2.3% simplify-node [68] 5.0% for-loop [31] 90.5% [70] 4420(15.5%) 220(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [75] 76.3% loop [72] 14.2% f37 [19] 4.6% ------------------------------------------------------------------- hash-ref! [69] 100.0% [71] 234(0.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [73] 100.0% ------------------------------------------------------------------- loop [57] 0.0% errors-score [52] 0.1% map-enodes [37] 0.5% make-exacts* [58] 0.5% post-process [27] 0.6% ??? [13] 1.0% append-map [70] 1.5% map [62] 2.7% parse-loop12 [65] 2.8% loop [72] 90.3% [72] 23030(80.7%) 202(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 90.3% parse-loop12 [65] 3.4% ??? [74] 2.2% taylor-alt [75] 1.5% hash-ref! [69] 1.0% completely-simplify-alt [11] 0.6% for-loop [77] 0.5% f37 [19] 0.3% ??? [15] 0.1% ->flonum [76] 0.1% ??? [82] 0.1% ??? [78] 0.0% ------------------------------------------------------------------- bigfloat-hash [71] 100.0% [73] 234(0.8%) 234(0.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------- for-loop [63] 3.3% loop [72] 96.7% [74] 19170(67.2%) 704(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 66.6% real->bigfloat [81] 22.1% ??? [82] 7.7% ------------------------------------------------------------------- loop [72] 10.6% for-loop [38] 32.3% append-map [70] 57.1% [75] 5906(20.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [80] 100.0% ------------------------------------------------------------------- loop [72] 100.0% [76] 1118(3.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 59.2% ??? [83] 40.8% ------------------------------------------------------------------- loop [72] 100.0% [77] 220(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [84] 100.0% ------------------------------------------------------------------- loop [72] 100.0% [78] 200(0.7%) 0(0.0%) ??? ...atlock/herbie/src/core/alt-table.rkt:199:30 loop [85] 100.0% ------------------------------------------------------------------- ??? [74] 100.0% [79] 12758(44.7%) 436(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 93.3% ??? [88] 3.3% ------------------------------------------------------------------- taylor-alt [75] 100.0% [80] 5906(20.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [87] 100.0% ------------------------------------------------------------------- ??? [74] 100.0% [81] 4232(14.8%) 3988(14.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 5.8% ------------------------------------------------------------------- loop [72] 13.0% ??? [74] 87.0% [82] 1696(5.9%) 194(0.7%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 88.6% ------------------------------------------------------------------- ->flonum [76] 100.0% [83] 456(1.6%) 262(0.9%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [93] 42.5% ------------------------------------------------------------------- for-loop [77] 100.0% [84] 220(0.8%) 220(0.8%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ------------------------------------------------------------------- ??? [78] 33.3% loop [85] 66.7% [85] 200(0.7%) 200(0.7%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [85] 66.7% ------------------------------------------------------------------- ??? [79] 100.0% [86] 11898(41.7%) 1328(4.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [90] 35.6% bfsqrt [91] 34.9% ??? [89] 18.3% ------------------------------------------------------------------- for-loop [80] 45.6% location-do [87] 54.4% [87] 5906(20.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [87] 54.4% approximate9 [3] 45.6% ------------------------------------------------------------------- ??? [79] 100.0% [88] 424(1.5%) 424(1.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------- ->flonum [76] 15.2% ??? [82] 34.6% ??? [86] 50.2% [89] 4344(15.2%) 1624(5.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 62.6% ------------------------------------------------------------------- ??? [86] 100.0% [90] 4238(14.9%) 3112(10.9%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 26.6% ------------------------------------------------------------------- ??? [86] 100.0% [91] 4152(14.6%) 3192(11.2%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 23.1% ------------------------------------------------------------------- ??? [89] 100.0% [92] 2720(9.5%) 1552(5.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 42.9% ------------------------------------------------------------------- ??? [83] 7.7% real->bigfloat [81] 9.7% bfsqrt [91] 38.0% bfexpt [90] 44.6% [93] 2524(8.8%) 2524(8.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- ??? [92] 100.0% [94] 1168(4.1%) 1168(4.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------