Profiling results ----------------- Total cpu time observed: 13806ms (out of 14088ms) Number of samples taken: 56 (once every 247ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [31] 100.0% [1] 13184(95.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [2] 5534(40.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 96.1% get-final-combination [13] 3.9% ---------------------------------------------------------------------- loop [71] 5.1% ??? [31] 94.9% [3] 4252(30.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 57.4% for-loop [10] 28.1% iterate-egraph!5 [17] 14.5% ---------------------------------------------------------------------- location-do [43] 100.0% [4] 622(4.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [11] 67.8% taylor-sqrt [15] 32.2% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [5] 402(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [6] 202(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 13184(95.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 5316(38.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 2440(17.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 1194(8.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- approximate9 [4] 100.0% [11] 422(3.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [55] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [12] 402(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [55] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 218(1.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 202(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [55] 100.0% ---------------------------------------------------------------------- approximate9 [4] 100.0% [15] 200(1.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [55] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [16] 5316(38.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 75.9% gen-series! [21] 11.7% finalize-iter! [22] 7.9% localize-error [23] 4.5% ---------------------------------------------------------------------- simplify [3] 14.5% for-loop [10] 28.1% simplify-expr [9] 57.4% [17] 4252(30.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 95.3% map-enodes [24] 4.7% ---------------------------------------------------------------------- get-final-combination [13] 100.0% [18] 218(1.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [71] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [19] 4054(29.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 75.2% loop [27] 24.8% ---------------------------------------------------------------------- run-iter! [16] 100.0% [20] 4034(29.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [21] 622(4.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [22] 420(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [23] 240(1.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [55] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [24] 198(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [30] 100.0% ---------------------------------------------------------------------- simplify! [20] 100.0% [25] 4034(29.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ---------------------------------------------------------------------- for-loop [26] 50.0% one-iter [19] 50.0% [26] 3050(22.1%) 822(6.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [36] 36.5% ---------------------------------------------------------------------- one-iter [19] 100.0% [27] 1004(7.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ---------------------------------------------------------------------- gen-series! [21] 100.0% [28] 622(4.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ---------------------------------------------------------------------- finalize-iter! [22] 100.0% [29] 420(3.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ---------------------------------------------------------------------- map-enodes [24] 100.0% [30] 198(1.4%) 198(1.4%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ---------------------------------------------------------------------- for-loop [25] 10.4% run [7] 44.1% [31] 13586(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.1% loop [35] 29.6% run-improve58 [2] 15.9% simplify [3] 10.4% ---------------------------------------------------------------------- loop [27] 100.0% [32] 1004(7.3%) 202(1.5%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [39] 20.1% match-e [36] 19.9% merge-egraph-nodes! [40] 19.9% loop! [75] 19.9% ---------------------------------------------------------------------- for-loop [28] 100.0% [33] 622(4.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [34] 420(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [35] 8052(58.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [48] 63.5% loop [41] 36.5% ---------------------------------------------------------------------- for-loop [53] 4.1% apply-match [32] 4.1% for-loop [26] 91.8% [36] 2428(17.6%) 1012(7.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 37.7% list-cartesian-product [45] 16.5% loop [71] 4.1% ---------------------------------------------------------------------- taylor-alt [33] 100.0% [37] 622(4.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ---------------------------------------------------------------------- for-loop [34] 100.0% [38] 420(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ---------------------------------------------------------------------- apply-match [32] 100.0% [39] 202(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [75] 100.0% ---------------------------------------------------------------------- for-loop [47] 50.0% apply-match [32] 50.0% [40] 200(1.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [47] 50.0% update-leader! [46] 50.0% ---------------------------------------------------------------------- loop [35] 100.0% [41] 2938(21.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 54.3% make-exacts* [48] 38.7% eval-prog [50] 7.1% ---------------------------------------------------------------------- match-e [36] 100.0% [42] 1016(7.4%) 618(4.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 19.7% foldl [54] 19.5% ---------------------------------------------------------------------- for-loop [37] 30.4% location-do [43] 69.6% [43] 622(4.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [43] 69.6% approximate9 [4] 30.4% ---------------------------------------------------------------------- atab-add-altn [38] 100.0% [44] 420(3.0%) 220(1.6%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 47.6% ---------------------------------------------------------------------- list-cartesian-product [45] 50.0% match-e [36] 50.0% [45] 400(2.9%) 400(2.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [45] 50.0% ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [46] 200(1.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [51] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [47] 200(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [40] 100.0% ---------------------------------------------------------------------- loop [41] 18.2% loop [35] 81.8% [48] 6250(45.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [69] 52.4% loop [71] 47.6% ---------------------------------------------------------------------- loop [41] 100.0% [49] 1594(11.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [69] 100.0% ---------------------------------------------------------------------- loop [41] 100.0% [50] 208(1.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [55] 100.0% ---------------------------------------------------------------------- update-leader! [46] 100.0% [51] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [56] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [52] 200(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [57] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [53] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [54] 198(1.4%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [58] 100.0% ---------------------------------------------------------------------- localize-error [23] 3.7% for-loop [14] 3.8% ??? [62] 3.8% taylor-sqrt [15] 9.3% for-loop [12] 13.1% ??? [60] 14.1% loop [11] 14.1% ??? [76] 18.7% eval-prog [50] 19.4% [55] 1070(7.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [59] 23.4% bigfloat-hash [61] 19.4% parse-loop12 [64] 15.0% ??? [60] 14.1% ??? [5] 13.1% f6 [67] 7.5% ??? [62] 3.8% ??? [6] 3.8% ---------------------------------------------------------------------- for-loop [51] 100.0% [56] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% ---------------------------------------------------------------------- errors [52] 100.0% [57] 200(1.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 100.0% ---------------------------------------------------------------------- foldl [54] 100.0% [58] 198(1.4%) 198(1.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- hash-ref! [55] 100.0% [59] 622(4.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [64] 67.8% f6 [67] 32.2% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [60] 422(3.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [55] 100.0% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [61] 208(1.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [65] 100.0% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [62] 202(1.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [55] 100.0% ---------------------------------------------------------------------- for-loop [56] 100.0% [63] 200(1.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [66] 100.0% ---------------------------------------------------------------------- parse-loop12 [64] 16.6% hash-ref! [55] 36.3% simplify [59] 47.1% [64] 662(4.8%) 202(1.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [71] 36.3% parse-loop12 [64] 16.6% f6 [67] 16.6% ---------------------------------------------------------------------- bigfloat-hash [61] 100.0% [65] 208(1.5%) 208(1.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- hash-update! [63] 100.0% [66] 200(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [68] 100.0% ---------------------------------------------------------------------- simplify [59] 30.3% parse-loop12 [64] 33.3% hash-ref! [55] 36.4% [67] 660(4.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [69] 66.7% parse-app [70] 33.3% ---------------------------------------------------------------------- ??? [66] 100.0% [68] 200(1.4%) 200(1.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ??? [76] 1.5% f6 [67] 6.8% loop [49] 30.0% make-exacts* [48] 61.7% [69] 5306(38.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 91.7% make-multiplication-node [72] 3.8% ??? [76] 3.0% ->flonum [74] 1.5% ---------------------------------------------------------------------- f6 [67] 100.0% [70] 220(1.6%) 220(1.6%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- make-exacts* [48] 0.0% parse-loop12 [64] 0.3% map [69] 0.4% loop! [75] 0.7% extract-alt [18] 1.2% match-e [36] 2.2% loop [71] 95.2% [71] 8904(64.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 95.2% loop [77] 2.2% simplify [3] 1.2% loop! [75] 0.7% ??? [73] 0.4% ??? [76] 0.3% ->flonum [74] 0.0% ---------------------------------------------------------------------- map [69] 100.0% [72] 200(1.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [78]100.0% ---------------------------------------------------------------------- for-loop [57] 2.6% loop [71] 97.4% [73] 7788(56.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 72.3% real->bigfloat [80] 21.4% ...e/case-arrow.rkt:150:50 [81] 6.3% ---------------------------------------------------------------------- map [69] 48.4% loop [71] 51.6% [74] 496(3.6%) 256(1.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [82] 48.4% ---------------------------------------------------------------------- apply-match [32] 24.9% for-loop [39] 25.1% loop [71] 50.0% [75] 402(2.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [71] 50.0% custom-set-union [83] 25.1% update-en-expr [84] 24.9% ---------------------------------------------------------------------- map [69] 33.3% loop [71] 66.7% [76] 240(1.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [55] 83.3% map [69] 16.7% ---------------------------------------------------------------------- loop [71] 100.0% [77] 200(1.4%) 200(1.4%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- make-multiplication-node [72] 100.0% [78] 200(1.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [85] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [79] 5634(40.8%) 418(3.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [86] 53.0% ??? [90] 22.5% ...higher-order.rkt:373:33 [87] 17.0% ---------------------------------------------------------------------- ??? [73] 100.0% [80] 1666(12.1%) 568(4.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 65.9% ---------------------------------------------------------------------- ??? [73] 100.0% [81] 488(3.5%) 488(3.5%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- ->flonum [74] 100.0% [82] 240(1.7%) 240(1.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- loop! [75] 100.0% [83] 202(1.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [88] 100.0% ---------------------------------------------------------------------- loop! [75] 100.0% [84] 200(1.4%) 200(1.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- make-multiplication-subnode [78]100.0% [85] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [89] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [86] 2988(21.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [87] 958(6.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ---------------------------------------------------------------------- custom-set-union [83] 100.0% [88] 202(1.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [92] 100.0% ---------------------------------------------------------------------- for-loop [85] 100.0% [89] 200(1.4%) 200(1.4%) partition ...racket/collects/racket/list.rkt:547:0 ---------------------------------------------------------------------- ??? [79] 29.8% bf* [86] 70.2% [90] 4258(30.8%) 266(1.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 77.7% bfsqrt [95] 10.6% ??? [97] 5.5% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 100.0% [91] 958(6.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- for-loop [88] 100.0% [92] 202(1.5%) 202(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [90] 100.0% [93] 3308(24.0%) 2618(19.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 20.9% ---------------------------------------------------------------------- ??? [91] 100.0% [94] 958(6.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [95] 450(3.3%) 216(1.6%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 52.0% ---------------------------------------------------------------------- bfsqrt [95] 11.6% bfmul [93] 34.1% real->bigfloat [80] 54.3% [96] 2022(14.6%) 2022(14.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [90] 19.6% ??? [94] 80.4% [97] 1192(8.6%) 448(3.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 62.4% ---------------------------------------------------------------------- ??? [97] 100.0% [98] 744(5.4%) 450(3.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 39.5% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 294(2.1%) 294(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------