Profiling results ----------------- Total cpu time observed: 13680ms (out of 14028ms) Number of samples taken: 57 (once every 240ms) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [31] 100.0% [1] 12852(93.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------ ??? [31] 100.0% [2] 6940(50.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 76.5% finalize-table! [10] 17.4% get-final-combination [12] 6.1% ------------------------------------------------------------------ loop [67] 8.0% ??? [31] 92.0% [3] 5308(38.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 67.9% for-loop [11] 16.6% iterate-egraph!5 [14] 15.5% ------------------------------------------------------------------ loop [67] 100.0% [4] 604(4.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% ------------------------------------------------------------------ loop [67] 100.0% [5] 406(3.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 50.2% map [58] 49.8% ------------------------------------------------------------------ hash-ref! [62] 100.0% [6] 200(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ------------------------------------------------------------------ profile-thunk14 [1] 98.3% [7] 13074(95.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 5310(38.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ------------------------------------------------------------------ completely-simplify-alt [4] 14.4% simplify [3] 85.6% [9] 4208(30.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 95.2% loop [18] 4.8% ------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 1208(8.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [16] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [11] 880(6.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 422(3.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ------------------------------------------------------------------ ??? [6] 100.0% [13] 200(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [62] 100.0% ------------------------------------------------------------------ simplify [3] 14.4% for-loop [11] 15.4% simplify-expr [9] 70.2% [14] 5710(41.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 100.0% ------------------------------------------------------------------ for-loop [8] 100.0% [15] 5310(38.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 92.0% gen-series! [23] 4.1% localize-error [21] 3.8% ------------------------------------------------------------------ finalize-table! [10] 100.0% [16] 1208(8.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [67] 50.0% for-loop [22] 33.3% localize-error [21] 16.7% ------------------------------------------------------------------ get-final-combination [12] 100.0% [17] 422(3.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% ------------------------------------------------------------------ simplify-expr [9] 100.0% [18] 202(1.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [24] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [19] 5710(41.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [26] 49.3% for-loop [27] 39.8% apply-match [32] 10.9% ------------------------------------------------------------------ run-iter! [15] 100.0% [20] 4886(35.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ------------------------------------------------------------------ post-process [16] 49.8% run-iter! [15] 50.2% [21] 406(3.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ------------------------------------------------------------------ post-process [16] 100.0% [22] 402(2.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [28] 100.0% ------------------------------------------------------------------ run-iter! [15] 100.0% [23] 220(1.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ------------------------------------------------------------------ loop [18] 100.0% [24] 202(1.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [30] 100.0% ------------------------------------------------------------------ simplify! [20] 100.0% [25] 4886(35.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ------------------------------------------------------------------ one-iter [19] 100.0% [26] 2814(20.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ------------------------------------------------------------------ for-loop [27] 45.6% one-iter [19] 54.4% [27] 2274(16.6%) 1008(7.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 45.6% match-e [36] 27.8% ------------------------------------------------------------------ for-loop [22] 100.0% [28] 402(2.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [33] 100.0% ------------------------------------------------------------------ gen-series! [23] 100.0% [29] 220(1.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ------------------------------------------------------------------ pass [24] 100.0% [30] 202(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [34] 100.0% ------------------------------------------------------------------ for-loop [25] 12.4% run [7] 43.1% [31] 13680(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.5% loop [35] 25.4% run-improve58 [2] 20.6% simplify [3] 12.4% ------------------------------------------------------------------ one-iter [19] 18.1% loop [26] 81.9% [32] 3436(25.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [37] 30.9% loop! [69] 24.0% for-loop [39] 13.4% match-e [36] 12.3% mk-enode! [43] 7.0% merge-egraph-nodes! [45] 6.5% reduce-to-single! [40] 5.8% ------------------------------------------------------------------ for-loop [29] 35.4% append-map [28] 64.6% [33] 622(4.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ------------------------------------------------------------------ for-loop [30] 100.0% [34] 202(1.5%) 202(1.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------ ??? [31] 100.0% [35] 6740(49.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [41] 49.9% make-exacts* [48] 46.8% for-loop [46] 3.3% ------------------------------------------------------------------ for-loop [51] 17.8% apply-match [32] 19.1% for-loop [27] 63.1% [36] 1690(12.4%) 822(6.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 51.3% for-loop [51] 11.9% ------------------------------------------------------------------ substitute-e [37] 38.0% apply-match [32] 62.0% [37] 1062(7.8%) 860(6.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [37] 38.0% mk-enode! [43] 19.0% ------------------------------------------------------------------ taylor-alt [33] 100.0% [38] 622(4.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ------------------------------------------------------------------ apply-match [32] 100.0% [39] 462(3.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [43] 51.9% merge-egraph-nodes! [45] 48.1% ------------------------------------------------------------------ apply-match [32] 100.0% [40] 200(1.5%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [47] 100.0% ------------------------------------------------------------------ loop [35] 100.0% [41] 3366(24.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 74.4% make-exacts* [48] 25.6% ------------------------------------------------------------------ match-e [36] 100.0% [42] 1068(7.8%) 444(3.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [67] 20.8% list-cartesian-product [55] 18.9% for-loop [51] 18.7% ------------------------------------------------------------------ substitute-e [37] 29.5% for-loop [39] 35.1% apply-match [32] 35.4% [43] 684(5.0%) 442(3.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [52] 35.4% ------------------------------------------------------------------ location-do [44] 33.8% for-loop [38] 66.2% [44] 622(4.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [50] 66.2% location-do [44] 33.8% ------------------------------------------------------------------ for-loop [54] 25.0% apply-match [32] 25.0% for-loop [39] 50.0% [45] 444(3.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [53] 50.0% for-loop [54] 25.0% loop! [69] 25.0% ------------------------------------------------------------------ loop [35] 100.0% [46] 222(1.6%) 222(1.6%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 ------------------------------------------------------------------ reduce-to-single! [40] 100.0% [47] 200(1.5%) 200(1.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ------------------------------------------------------------------ loop [41] 21.5% loop [35] 78.5% [48] 4014(29.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [58] 58.3% loop [67] 41.7% ------------------------------------------------------------------ loop [41] 100.0% [49] 2504(18.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ------------------------------------------------------------------ location-do [44] 100.0% [50] 622(4.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 64.6% f94 [56] 35.4% ------------------------------------------------------------------ for-loop [42] 33.2% match-e [36] 66.8% [51] 602(4.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 100.0% ------------------------------------------------------------------ mk-enode! [43] 100.0% [52] 242(1.8%) 242(1.8%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 ------------------------------------------------------------------ merge-egraph-nodes! [45] 100.0% [53] 222(1.6%) 222(1.6%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------ merge-egraph-nodes! [45] 100.0% [54] 222(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [45] 100.0% ------------------------------------------------------------------ for-loop [42] 100.0% [55] 202(1.5%) 202(1.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------ hash-ref! [62] 16.0% f94 [56] 31.9% approximate9 [50] 52.1% [56] 422(3.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 taylor-invert [59] 52.1% f94 [56] 31.9% map [58] 16.0% ------------------------------------------------------------------ approximate9 [50] 100.0% [57] 402(2.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ------------------------------------------------------------------ ??? [5] 3.8% f94 [56] 3.8% make-exacts* [48] 44.6% loop [49] 47.7% [58] 5248(38.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 92.3% taylor-invert [59] 3.8% ->flonum [70] 3.8% ------------------------------------------------------------------ map [58] 47.9% f94 [56] 52.1% [59] 422(3.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [60] 52.1% first-nonzero-exp [61] 47.9% ------------------------------------------------------------------ taylor-invert [59] 35.4% hash-ref! [62] 64.6% [60] 622(4.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [63] 100.0% ------------------------------------------------------------------ taylor-invert [59] 100.0% [61] 202(1.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [62] 100.0% ------------------------------------------------------------------ for-loop [13] 5.0% ??? [66] 5.0% first-nonzero-exp [61] 6.2% loop [57] 11.2% ??? [5] 16.8% ??? [64] 22.4% localize-error [21] 33.4% [62] 808(5.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [63] 41.8% ??? [64] 22.4% simplify [60] 11.2% ??? [65] 8.4% f94 [56] 6.2% ??? [66] 5.0% ??? [6] 5.0% ------------------------------------------------------------------ hash-ref! [62] 39.5% simplify [60] 60.5% [63] 1028(7.5%) 622(4.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 39.5% ------------------------------------------------------------------ hash-ref! [62] 100.0% [64] 402(2.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [65] 204(1.5%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 loop [67] 100.0% ------------------------------------------------------------------ hash-ref! [62] 100.0% [66] 200(1.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ------------------------------------------------------------------ make-exacts* [48] 0.0% ??? [65] 0.2% map [58] 0.5% parse-loop12 [63] 0.7% post-process [16] 1.4% for-loop [42] 2.5% extract-alt [17] 2.9% loop! [69] 4.0% loop [67] 87.7% [67] 8796(64.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 87.7% loop! [69] 4.0% simplify [3] 2.9% foldl [71] 2.5% completely-simplify-alt [4] 1.4% ??? [5] 0.7% ??? [68] 0.6% real->bigfloat [72] 0.2% ->flonum [70] 0.0% ------------------------------------------------------------------ loop [67] 100.0% [68] 6300(46.1%) 1152(8.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [72] 54.2% ??? [73] 24.4% ??? [79] 3.1% ------------------------------------------------------------------ merge-egraph-nodes! [45] 10.6% loop [67] 44.0% apply-match [32] 45.4% [69] 1046(7.6%) 422(3.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [67] 44.0% custom-set-union [78] 19.1% set [75] 10.6% update-en-expr [77] 9.7% ------------------------------------------------------------------ map [58] 48.1% loop [67] 51.9% [70] 420(3.1%) 202(1.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [76] 51.9% ------------------------------------------------------------------ loop [67] 100.0% [71] 222(1.6%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [74] 100.0% ------------------------------------------------------------------ loop [67] 5.6% ??? [68] 94.4% [72] 3616(26.4%) 2344(17.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [80] 35.2% ------------------------------------------------------------------ ??? [68] 100.0% [73] 1538(11.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [83] 84.4% bf* [81] 15.6% ------------------------------------------------------------------ foldl [71] 100.0% [74] 222(1.6%) 222(1.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------ loop! [69] 100.0% [75] 222(1.6%) 222(1.6%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------ ->flonum [70] 100.0% [76] 218(1.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [80] 100.0% ------------------------------------------------------------------ loop! [69] 100.0% [77] 202(1.5%) 202(1.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------ loop! [69] 100.0% [78] 200(1.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [82] 100.0% ------------------------------------------------------------------ ??? [68] 100.0% [79] 198(1.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 100.0% ------------------------------------------------------------------ ??? [76] 14.6% real->bigfloat [72] 85.4% [80] 1490(10.9%) 1490(10.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------ ??? [73] 100.0% [81] 240(1.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [83] 100.0% ------------------------------------------------------------------ custom-set-union [78] 100.0% [82] 200(1.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [84] 100.0% ------------------------------------------------------------------ bf* [81] 15.6% ??? [73] 84.4% [83] 1538(11.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [85] 84.4% ??? [86] 15.6% ------------------------------------------------------------------ for-loop [82] 100.0% [84] 200(1.5%) 200(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------ ??? [83] 100.0% [85] 1298(9.5%) 1298(9.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ------------------------------------------------------------------ ??? [79] 45.2% ??? [83] 54.8% [86] 438(3.2%) 438(3.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ------------------------------------------------------------------