Profiling results ----------------- Total cpu time observed: 21780ms (out of 22032ms) Number of samples taken: 97 (once every 225ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 96 hidden) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [22] 100.0% [1] 21180(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% ------------------------------------------------------------------ ??? [22] 100.0% [2] 15058(69.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [4] 94.6% setup-prog [5] 2.8% get-final-combination [6] 2.6% ------------------------------------------------------------------ profile-thunk14 [1] 100.0% [3] 21180(97.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [4] 14244(65.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [7] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [5] 416(1.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [8] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [6] 398(1.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [9] 100.0% ------------------------------------------------------------------ for-loop [4] 100.0% [7] 14244(65.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [11] 93.0% finalize-iter! [12] 2.8% gen-series! [13] 1.4% choose-best-alt! [14] 1.4% localize-error [15] 1.4% ------------------------------------------------------------------ setup-prog [5] 100.0% [8] 416(1.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [10] 100.0% ------------------------------------------------------------------ get-final-combination [6] 100.0% [9] 398(1.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [56] 100.0% ------------------------------------------------------------------ loop [56] 2.8% simplify-alt [8] 3.0% ??? [22] 94.2% [10] 14056(64.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 82.4% for-loop [18] 11.8% iterate-egraph!5 [23] 5.8% ------------------------------------------------------------------ run-iter! [7] 100.0% [11] 13242(60.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% ------------------------------------------------------------------ run-iter! [7] 100.0% [12] 400(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% ------------------------------------------------------------------ run-iter! [7] 100.0% [13] 202(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [20] 100.0% ------------------------------------------------------------------ run-iter! [7] 100.0% [14] 202(0.9%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [19] 100.0% ------------------------------------------------------------------ run-iter! [7] 100.0% [15] 198(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [21] 100.0% ------------------------------------------------------------------ simplify! [11] 100.0% [16] 13242(60.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% ------------------------------------------------------------------ simplify [10] 100.0% [17] 11576(53.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 100.0% ------------------------------------------------------------------ simplify [10] 100.0% [18] 1664(7.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 100.0% ------------------------------------------------------------------ choose-best-alt! [14] 33.6% finalize-iter! [12] 66.4% [19] 602(2.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [24] 66.4% atab-pick-alt8 [25] 33.6% ------------------------------------------------------------------ gen-series! [13] 100.0% [20] 202(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ------------------------------------------------------------------ localize-error [15] 100.0% [21] 198(0.9%) 198(0.9%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 ------------------------------------------------------------------ for-loop [16] 20.6% run [3] 38.8% [22] 21780(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.8% run-improve58 [2] 25.2% simplify [10] 20.6% loop [28] 15.4% ------------------------------------------------------------------ simplify [10] 5.8% for-loop [18] 11.8% simplify-expr [17] 82.4% [23] 14056(64.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 97.1% map-enodes [29] 2.9% ------------------------------------------------------------------ ??? [19] 100.0% [24] 400(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ------------------------------------------------------------------ ??? [19] 100.0% [25] 202(0.9%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [31] 100.0% ------------------------------------------------------------------ for-loop [20] 100.0% [26] 202(0.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [23] 100.0% [27] 13652(62.7%) 200(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 52.3% loop [34] 46.2% ------------------------------------------------------------------ ??? [22] 100.0% [28] 6722(30.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [40] 59.8% loop [35] 40.2% ------------------------------------------------------------------ iterate-egraph!5 [23] 100.0% [29] 404(1.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [72] 50.0% loop [56] 50.0% ------------------------------------------------------------------ for-loop [24] 100.0% [30] 400(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 override-at-pnts [38] 50.0% loop [56] 50.0% ------------------------------------------------------------------ atab-pick-alt8 [25] 100.0% [31] 202(0.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [36] 100.0% ------------------------------------------------------------------ taylor-alt [26] 100.0% [32] 202(0.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [37] 100.0% ------------------------------------------------------------------ for-loop [33] 47.2% one-iter [27] 52.8% [33] 7138(32.8%) 1828(8.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 47.2% match-e [44] 37.2% ------------------------------------------------------------------ one-iter [27] 100.0% [34] 6314(29.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ------------------------------------------------------------------ loop [28] 100.0% [35] 2702(12.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 57.0% make-exacts* [40] 43.0% ------------------------------------------------------------------ ??? [31] 100.0% [36] 202(0.9%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [42] 100.0% ------------------------------------------------------------------ location-do [37] 50.0% for-loop [32] 50.0% [37] 202(0.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [37] 50.0% approximate9 [43] 50.0% ------------------------------------------------------------------ atab-add-altn [30] 100.0% [38] 200(0.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [54] 100.0% ------------------------------------------------------------------ loop [34] 100.0% [39] 6314(29.0%) 202(0.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [44] 36.2% merge-egraph-nodes! [52] 35.2% for-loop [46] 15.8% reduce-to-single! [47] 6.4% substitute-e [48] 3.2% ------------------------------------------------------------------ loop [35] 22.4% loop [28] 77.6% [40] 5182(23.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [45] 65.4% loop [56] 34.6% ------------------------------------------------------------------ loop [35] 100.0% [41] 1540(7.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [45] 100.0% ------------------------------------------------------------------ best-alt [36] 100.0% [42] 202(0.9%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [49] 100.0% ------------------------------------------------------------------ location-do [37] 100.0% [43] 202(0.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [50] 100.0% ------------------------------------------------------------------ for-loop [58] 9.9% apply-match [39] 27.0% for-loop [33] 63.1% [44] 7596(34.9%) 3888(17.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 35.4% loop [56] 9.8% list-cartesian-product [59] 5.6% ------------------------------------------------------------------ loop [41] 31.2% make-exacts* [40] 68.8% [45] 4928(22.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [56] 100.0% ------------------------------------------------------------------ apply-match [39] 100.0% [46] 1000(4.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [53] 80.0% merge-egraph-nodes! [52] 20.0% ------------------------------------------------------------------ apply-match [39] 100.0% [47] 402(1.8%) 402(1.8%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ------------------------------------------------------------------ apply-match [39] 33.3% substitute-e [48] 66.7% [48] 202(0.9%) 202(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [48] 66.7% ------------------------------------------------------------------ argmins [42] 100.0% [49] 202(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [54] 100.0% ------------------------------------------------------------------ approximate9 [43] 100.0% [50] 202(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [55] 100.0% ------------------------------------------------------------------ match-e [44] 100.0% [51] 3068(14.1%) 1242(5.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 46.6% list-cartesian-product [59] 6.5% loop [56] 6.5% filter [61] 3.3% ------------------------------------------------------------------ merge-egraph-nodes! [52] 2.8% for-loop [69] 2.8% for-loop [46] 8.3% apply-match [39] 86.2% [52] 2422(11.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [57] 69.7% for-loop [60] 16.5% enode-merge! [68] 8.3% for-loop [69] 2.8% merge-egraph-nodes! [52] 2.8% ------------------------------------------------------------------ loop [56] 29.2% for-loop [46] 70.8% [53] 800(3.7%) 200(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [56] 54.2% custom-set-union [66] 25.0% set [65] 8.3% ------------------------------------------------------------------ override-at-pnts [38] 49.8% composed [49] 50.2% [54] 402(1.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [62] 50.2% for-loop [67] 49.8% ------------------------------------------------------------------ ??? [64] 50.0% loop [50] 50.0% [55] 202(0.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [64] 50.0% taylor [63] 50.0% ------------------------------------------------------------------ map-enodes [29] 0.1% make-exacts* [40] 0.1% atab-add-altn [30] 0.4% map [45] 0.6% for-loop [51] 1.1% loop! [53] 2.3% extract-alt [9] 2.7% match-e [44] 9.4% loop [56] 83.4% [56] 8964(41.2%) 798(3.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [56] 83.4% foldl [74] 2.7% simplify [10] 2.7% loop [75] 2.3% loop! [53] 2.0% ??? [70] 0.7% loop [77] 0.4% for-loop [72] 0.1% ------------------------------------------------------------------ merge-egraph-nodes! [52] 100.0% [57] 1822(8.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [71] 100.0% ------------------------------------------------------------------ for-loop [51] 100.0% [58] 1630(7.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [44] 81.6% ??? [73] 18.4% ------------------------------------------------------------------ for-loop [51] 31.8% match-e [44] 68.2% [59] 622(2.9%) 622(2.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------ merge-egraph-nodes! [52] 100.0% [60] 400(1.8%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [94] 50.0% ------------------------------------------------------------------ for-loop [51] 100.0% [61] 202(0.9%) 202(0.9%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------ errors [54] 100.0% [62] 202(0.9%) 202(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------ hash-ref! [55] 100.0% [63] 202(0.9%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [76] 100.0% ------------------------------------------------------------------ hash-ref! [55] 100.0% [64] 202(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [55] 100.0% ------------------------------------------------------------------ loop! [53] 100.0% [65] 200(0.9%) 200(0.9%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------ loop! [53] 100.0% [66] 200(0.9%) 200(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------ errors [54] 100.0% [67] 200(0.9%) 200(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ------------------------------------------------------------------ merge-egraph-nodes! [52] 100.0% [68] 200(0.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [78] 100.0% ------------------------------------------------------------------ merge-egraph-nodes! [52] 100.0% [69] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [52] 100.0% ------------------------------------------------------------------ loop [56] 100.0% [70] 6722(30.9%) 680(3.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 46.0% real->bigfloat [80] 39.9% ??? [82] 4.0% ------------------------------------------------------------------ update-leader! [57] 100.0% [71] 1822(8.4%) 400(1.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [81] 78.0% ------------------------------------------------------------------ loop [56] 50.0% map-enodes [29] 50.0% [72] 404(1.9%) 202(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [84] 50.0% ------------------------------------------------------------------ for-loop [58] 100.0% [73] 400(1.8%) 400(1.8%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------ loop [56] 100.0% [74] 242(1.1%) 242(1.1%) foldl ...et/collects/racket/private/list.rkt:229:4 ------------------------------------------------------------------ loop [56] 100.0% [75] 202(0.9%) 202(0.9%) loop ...e/racket/collects/racket/function.rkt:53:6 ------------------------------------------------------------------ taylor [63] 100.0% [76] 202(0.9%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [83] 100.0% ------------------------------------------------------------------ loop [56] 25.0% loop [77] 75.0% [77] 200(0.9%) 200(0.9%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [77] 75.0% ------------------------------------------------------------------ enode-merge! [68] 100.0% [78] 200(0.9%) 200(0.9%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ------------------------------------------------------------------ ??? [70] 100.0% [79] 3092(14.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 100.0% ------------------------------------------------------------------ ??? [70] 100.0% [80] 2682(12.3%) 2682(12.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------ for-loop [71] 100.0% [81] 1422(6.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [86] 100.0% ------------------------------------------------------------------ ??? [70] 100.0% [82] 268(1.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [90] 100.0% ------------------------------------------------------------------ debug-print [76] 100.0% [83] 202(0.9%) 202(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------ for-loop [72] 100.0% [84] 202(0.9%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [87] 100.0% ------------------------------------------------------------------ ??? [79] 100.0% [85] 3092(14.2%) 914(4.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [88] 53.6% ??? [90] 16.8% ------------------------------------------------------------------ for-loop [81] 100.0% [86] 1422(6.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [89] 100.0% ------------------------------------------------------------------ setfindf [84] 100.0% [87] 202(0.9%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ------------------------------------------------------------------ ??? [85] 100.0% [88] 1658(7.6%) 1372(6.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 17.2% ------------------------------------------------------------------ hash-update! [86] 100.0% [89] 1422(6.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [91] 100.0% ------------------------------------------------------------------ ??? [82] 34.0% ??? [85] 66.0% [90] 788(3.6%) 252(1.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 68.0% ------------------------------------------------------------------ ??? [89] 100.0% [91] 1422(6.5%) 1222(5.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [94] 14.1% ------------------------------------------------------------------ ??? [90] 100.0% [92] 536(2.5%) 268(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 50.0% ------------------------------------------------------------------ bfdiv [88] 100.0% [93] 286(1.3%) 286(1.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ for-loop [60] 50.0% for-loop [91] 50.0% [94] 400(1.8%) 400(1.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------ ??? [92] 100.0% [95] 268(1.2%) 268(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------