Profiling results ----------------- Total cpu time observed: 12188ms (out of 12620ms) Number of samples taken: 50 (once every 244ms) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [29] 100.0% [1] 11966(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------- ??? [29] 100.0% [2] 5784(47.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 68.8% finalize-table! [11] 22.1% setup-prog [12] 5.3% get-final-combination [13] 3.8% ------------------------------------------------------------------- hash-ref! [70] 100.0% [3] 836(6.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [63] 75.8% hash-ref! [70] 24.2% ------------------------------------------------------------------- loop [63] 100.0% [4] 634(5.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [26] 100.0% ------------------------------------------------------------------- hash-ref! [70] 100.0% [5] 222(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ------------------------------------------------------------------- location-do [101] 100.0% [6] 222(1.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [15] 100.0% ------------------------------------------------------------------- loop [63] 100.0% [7] 220(1.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ------------------------------------------------------------------- loop [63] 100.0% [8] 220(1.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 50.0% map [56] 50.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 11966(98.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 3978(32.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 1276(10.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [17] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 308(2.5%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [18] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 222(1.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ------------------------------------------------------------------- ??? [5] 100.0% [14] 222(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [20] 100.0% ------------------------------------------------------------------- approximate9 [6] 100.0% [15] 222(1.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ------------------------------------------------------------------- for-loop [10] 100.0% [16] 3978(32.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 74.4% finalize-iter! [23] 25.6% ------------------------------------------------------------------- finalize-table! [11] 100.0% [17] 1276(10.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [63] 66.9% for-loop [24] 17.4% ??? [27] 15.7% ------------------------------------------------------------------- setup-prog [12] 100.0% [18] 308(2.5%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [21] 100.0% ------------------------------------------------------------------- get-final-combination [13] 100.0% [19] 222(1.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [63] 100.0% ------------------------------------------------------------------- for-loop [14] 100.0% [20] 222(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [70] 100.0% ------------------------------------------------------------------- loop [63] 6.4% simplify-alt [18] 8.8% ??? [29] 84.8% [21] 3488(28.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [30] 50.3% simplify-expr [26] 29.3% loop [32] 11.6% mk-egraph [28] 8.8% ------------------------------------------------------------------- run-iter! [16] 100.0% [22] 2958(24.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ------------------------------------------------------------------- run-iter! [16] 100.0% [23] 1020(8.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ------------------------------------------------------------------- post-process [17] 100.0% [24] 222(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [95] 100.0% ------------------------------------------------------------------- simplify! [22] 100.0% [25] 2958(24.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ------------------------------------------------------------------- completely-simplify-alt [4] 38.3% simplify [21] 61.7% [26] 1656(13.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [30] 88.0% loop [32] 12.0% ------------------------------------------------------------------- post-process [17] 16.4% finalize-iter! [23] 83.6% [27] 1220(10.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 83.4% atab-add-altns [34] 16.6% ------------------------------------------------------------------- simplify [21] 100.0% [28] 308(2.5%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [33] 100.0% ------------------------------------------------------------------- for-loop [25] 8.2% run [9] 45.9% [29] 11966(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.9% loop [35] 25.8% run-improve58 [2] 20.0% simplify [21] 8.2% ------------------------------------------------------------------- simplify-expr [26] 45.4% simplify [21] 54.6% [30] 3212(26.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [36] 92.2% map-enodes [40] 7.8% ------------------------------------------------------------------- ??? [27] 100.0% [31] 1018(8.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ------------------------------------------------------------------- simplify-expr [26] 32.9% simplify [21] 67.1% [32] 602(4.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [38] 100.0% ------------------------------------------------------------------- expr->enode [33] 50.0% mk-egraph [28] 50.0% [33] 308(2.5%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [33] 50.0% mk-enode! [39] 50.0% ------------------------------------------------------------------- ??? [27] 100.0% [34] 202(1.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [37] 100.0% ------------------------------------------------------------------- ??? [29] 100.0% [35] 6182(50.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [48] 56.2% loop [41] 43.8% ------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [36] 2962(24.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [42] 78.9% apply-match [52] 7.5% loop [46] 6.8% loop [47] 6.8% ------------------------------------------------------------------- atab-add-altns [34] 16.6% for-loop [31] 83.4% [37] 1220(10.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43]100.0% ------------------------------------------------------------------- loop [32] 100.0% [38] 602(4.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [44] 100.0% ------------------------------------------------------------------- expr->enode [33] 100.0% [39] 308(2.5%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [45] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [40] 250(2.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [63] 100.0% ------------------------------------------------------------------- loop [35] 100.0% [41] 2706(22.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 49.4% make-exacts* [48] 43.2% eval-prog [57] 7.4% ------------------------------------------------------------------- for-loop [42] 50.0% one-iter [36] 50.0% [42] 2338(19.2%) 464(3.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [42] 50.0% match-e [49] 40.1% ------------------------------------------------------------------- atab-add-altn [37] 100.0% [43] 1220(10.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% ------------------------------------------------------------------- pass [38] 100.0% [44] 602(4.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [53] 66.4% loop [55] 33.6% ------------------------------------------------------------------- mk-enode! [39] 100.0% [45] 308(2.5%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [54] 100.0% ------------------------------------------------------------------- one-iter [36] 100.0% [46] 202(1.7%) 202(1.7%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------- one-iter [36] 100.0% [47] 200(1.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [52] 100.0% ------------------------------------------------------------------- loop [41] 25.2% loop [35] 74.8% [48] 4646(38.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 62.3% loop [63] 32.6% eval-prog [57] 5.1% ------------------------------------------------------------------- for-loop [64] 10.7% for-loop [42] 89.3% [49] 1874(15.4%) 1254(10.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [59] 22.4% loop [63] 10.7% for-loop [64] 5.3% ------------------------------------------------------------------- loop [41] 100.0% [50] 1336(11.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ------------------------------------------------------------------- best-and-tied-at-points [43]100.0% [51] 1220(10.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 65.6% eval-prog [57] 34.4% ------------------------------------------------------------------- loop [47] 47.4% one-iter [36] 52.6% [52] 422(3.5%) 200(1.6%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [61] 52.6% ------------------------------------------------------------------- for-loop [44] 100.0% [53] 400(3.3%) 400(3.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------- new-enode [45] 100.0% [54] 308(2.5%) 0(0.0%) mutable-set ...racket/private/set-types.rkt:1000:0 for-loop [60] 100.0% ------------------------------------------------------------------- for-loop [44] 100.0% [55] 202(1.7%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [62] 100.0% ------------------------------------------------------------------- ??? [8] 4.9% loop [50] 30.0% make-exacts* [48] 65.0% [56] 4452(36.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [63] 95.1% ->flonum [71] 4.9% ------------------------------------------------------------------- loop [41] 23.4% make-exacts* [48] 27.6% errors [51] 49.1% [57] 856(7.0%) 222(1.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 74.1% ------------------------------------------------------------------- errors [51] 100.0% [58] 800(6.6%) 396(3.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [69] 50.5% ------------------------------------------------------------------- match-e [49] 100.0% [59] 620(5.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 filter [66] 35.5% for-loop [64] 32.3% foldl [68] 32.3% ------------------------------------------------------------------- mutable-set [54] 100.0% [60] 308(2.5%) 308(2.5%) for-loop ...cts/racket/private/set-types.rkt:944:2 ------------------------------------------------------------------- apply-match [52] 100.0% [61] 222(1.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [65] 100.0% ------------------------------------------------------------------- loop [55] 100.0% [62] 202(1.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [67] 100.0% ------------------------------------------------------------------- make-exacts* [48] 0.0% parse-loop12 [84] 0.1% map [56] 0.2% match-e [49] 0.5% map-enodes [40] 1.1% post-process [17] 1.1% extract-alt [19] 1.4% ??? [3] 8.0% loop [63] 87.6% [63] 7906(64.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [63] 87.6% hash-ref! [70] 8.0% simplify [21] 1.4% completely-simplify-alt [4] 1.1% for-loop [72] 1.1% curried [74] 0.5% ??? [69] 0.2% ??? [8] 0.1% localize-error [7] 0.0% ->flonum [71] 0.0% ------------------------------------------------------------------- match-e [49] 50.0% for-loop [59] 50.0% [64] 400(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [49] 100.0% ------------------------------------------------------------------- merge-egraph-nodes! [61] 100.0% [65] 222(1.8%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [73] 100.0% ------------------------------------------------------------------- for-loop [59] 100.0% [66] 220(1.8%) 220(1.8%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------- expression-cost [62] 100.0% [67] 202(1.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [70] 100.0% ------------------------------------------------------------------- for-loop [59] 100.0% [68] 200(1.6%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [75] 100.0% ------------------------------------------------------------------- for-loop [58] 7.2% loop [63] 92.8% [69] 5606(46.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [96] 53.1% ??? [76] 42.2% ??? [78] 4.7% ------------------------------------------------------------------- compile [67] 4.0% ??? [20] 4.3% ??? [82] 4.3% ??? [83] 4.3% loop [15] 4.3% ??? [8] 8.6% localize-error [7] 8.6% ??? [3] 11.9% eval-prog [57] 13.7% loop [63] 35.9% [70] 1278(10.5%) 400(3.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 47.8% parse-loop12 [84] 17.2% bigfloat-hash [77] 8.5% ??? [83] 4.3% ??? [82] 4.3% ??? [5] 4.3% simplify [81] 4.3% ------------------------------------------------------------------- map [56] 28.8% loop [63] 71.2% [71] 764(6.3%) 514(4.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 32.7% ------------------------------------------------------------------- loop [63] 100.0% [72] 250(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [79] 100.0% ------------------------------------------------------------------- enode-merge! [65] 100.0% [73] 222(1.8%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [80] 100.0% ------------------------------------------------------------------- loop [63] 100.0% [74] 200(1.6%) 200(1.6%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------- foldl [68] 100.0% [75] 200(1.6%) 200(1.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------- ??? [69] 100.0% [76] 2366(19.4%) 404(3.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 82.9% ------------------------------------------------------------------- hash-ref! [70] 100.0% [77] 436(3.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [86] 100.0% ------------------------------------------------------------------- ??? [69] 100.0% [78] 264(2.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [90] 100.0% ------------------------------------------------------------------- for-loop [72] 100.0% [79] 250(2.1%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [87] 100.0% ------------------------------------------------------------------- adopt-enode! [73] 100.0% [80] 222(1.8%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [88] 100.0% ------------------------------------------------------------------- hash-ref! [70] 100.0% [81] 222(1.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 simplify-node [89] 100.0% ------------------------------------------------------------------- hash-ref! [70] 100.0% [82] 222(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ------------------------------------------------------------------- hash-ref! [70] 100.0% [83] 222(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ------------------------------------------------------------------- hash-ref! [70] 100.0% [84] 220(1.8%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [63] 100.0% ------------------------------------------------------------------- ??? [76] 100.0% [85] 1962(16.1%) 740(6.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfhypot [91] 27.0% ??? [90] 23.5% bftan [93] 11.7% ------------------------------------------------------------------- bigfloat-hash [77] 100.0% [86] 436(3.6%) 436(3.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------- eval-const-expr [79] 100.0% [87] 250(2.1%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [92] 100.0% ------------------------------------------------------------------- custom-set-union [80] 100.0% [88] 222(1.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 100.0% ------------------------------------------------------------------- simplify [81] 100.0% [89] 222(1.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [95] 100.0% ------------------------------------------------------------------- ->flonum [71] 25.6% ??? [78] 27.0% ??? [85] 47.3% [90] 976(8.0%) 744(6.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 23.8% ------------------------------------------------------------------- ??? [85] 100.0% [91] 530(4.3%) 0(0.0%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 100.0% ------------------------------------------------------------------- inductor [92] 50.0% expression-induct31 [87] 50.0% [92] 250(2.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [92] 50.0% real->bigfloat [96] 50.0% ------------------------------------------------------------------- ??? [85] 100.0% [93] 230(1.9%) 0(0.0%) bftan ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 100.0% ------------------------------------------------------------------- for-loop [88] 100.0% [94] 222(1.8%) 222(1.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------- simplify-node [89] 50.0% for-loop [24] 50.0% [95] 222(1.8%) 222(1.8%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [98] 50.0% ------------------------------------------------------------------- inductor [92] 7.7% ??? [69] 92.3% [96] 3226(26.5%) 2748(22.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 14.8% ------------------------------------------------------------------- ??? [90] 100.0% [97] 232(1.9%) 232(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------- append-map [95] 100.0% [98] 222(1.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [100] 100.0% ------------------------------------------------------------------- bftan [93] 18.6% real->bigfloat [96] 38.6% bfhypot [91] 42.8% [99] 1238(10.2%) 1238(10.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- taylor-alt [98] 100.0% [100] 222(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [101] 100.0% ------------------------------------------------------------------- for-loop [100] 20.0% location-do [101] 80.0% [101] 222(1.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [101] 80.0% approximate9 [6] 20.0% -------------------------------------------------------------------