Profiling results ----------------- Total cpu time observed: 41578ms (out of 41940ms) Number of samples taken: 278 (once every 150ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 105 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [32] 100.0% [1] 40432(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [32] 100.0% [2] 7632(18.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 72.4% get-final-combination [10] 13.2% loop [39] 11.6% setup-prog [14] 2.9% ------------------------------------------------------------------------ simplify-alt [18] 4.6% loop [81] 20.8% ??? [32] 74.6% [3] 4834(11.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 54.0% iterate-egraph!5 [16] 25.2% for-loop [11] 20.8% ------------------------------------------------------------------------ hash-ref! [72] 100.0% [4] 436(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ------------------------------------------------------------------------ hash-ref! [72] 100.0% [5] 436(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ------------------------------------------------------------------------ loop [81] 100.0% [6] 228(0.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [72] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.9% [7] 40492(97.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 5522(13.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 2610(6.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 1006(2.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [11] 1004(2.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 436(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [72] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 436(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [72] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [14] 220(0.5%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [18] 100.0% ------------------------------------------------------------------------ for-loop [8] 100.0% [15] 5522(13.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 65.3% gen-series! [21] 11.5% finalize-iter! [22] 11.4% localize-error [23] 4.1% choose-best-alt! [24] 4.0% gen-rewrites! [25] 3.6% ------------------------------------------------------------------------ for-loop [11] 20.8% simplify [3] 25.2% simplify-expr [9] 54.0% [16] 4834(11.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 100.0% ------------------------------------------------------------------------ get-final-combination [10] 100.0% [17] 1006(2.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [81] 100.0% ------------------------------------------------------------------------ setup-prog [14] 100.0% [18] 220(0.5%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [19] 4834(11.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 66.7% loop [28] 33.3% ------------------------------------------------------------------------ run-iter! [15] 100.0% [20] 3608(8.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [21] 636(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [22] 630(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [23] 228(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [24] 220(0.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [29] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [25] 200(0.5%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [31] 100.0% ------------------------------------------------------------------------ simplify! [20] 100.0% [26] 3608(8.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ------------------------------------------------------------------------ for-loop [27] 50.0% one-iter [19] 50.0% [27] 3222(7.7%) 796(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [33] 37.6% ------------------------------------------------------------------------ one-iter [19] 100.0% [28] 1612(3.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [34] 100.0% ------------------------------------------------------------------------ choose-best-alt! [24] 25.9% finalize-iter! [22] 74.1% [29] 850(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 74.1% atab-pick-alt8 [37] 25.9% ------------------------------------------------------------------------ gen-series! [21] 100.0% [30] 636(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ------------------------------------------------------------------------ gen-rewrites! [25] 100.0% [31] 200(0.5%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [38] 100.0% ------------------------------------------------------------------------ for-loop [26] 3.0% run [7] 47.6% [32] 41366(99.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.5% loop [39] 41.4% run-improve58 [2] 8.1% simplify [3] 3.0% ------------------------------------------------------------------------ for-loop [42] 4.5% for-loop [27] 95.5% [33] 2426(5.8%) 1620(3.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 12.9% loop [81] 8.3% constant? [47] 8.3% for-loop [48] 8.2% ------------------------------------------------------------------------ loop [28] 100.0% [34] 1612(3.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [43] 25.1% merge-egraph-nodes! [51] 24.9% for-loop [44] 24.9% mk-enode! [46] 12.5% loop! [84] 12.5% ------------------------------------------------------------------------ for-loop [30] 100.0% [35] 636(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ------------------------------------------------------------------------ ??? [29] 100.0% [36] 630(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ------------------------------------------------------------------------ ??? [29] 100.0% [37] 220(0.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [45] 100.0% ------------------------------------------------------------------------ for-loop [31] 100.0% [38] 200(0.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [49] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 2.6% ??? [32] 97.4% [39] 34618(83.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [50] 65.0% make-exacts* [60] 33.0% loop [61] 1.9% ------------------------------------------------------------------------ taylor-alt [35] 100.0% [40] 636(1.5%) 200(0.5%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 68.6% ------------------------------------------------------------------------ for-loop [36] 100.0% [41] 630(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [53] 68.3% override-at-pnts [58] 31.7% ------------------------------------------------------------------------ match-e [33] 100.0% [42] 422(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 52.1% ??? [56] 47.9% ------------------------------------------------------------------------ substitute-e [43] 33.3% apply-match [34] 66.7% [43] 404(1.0%) 202(0.5%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [43] 33.3% variable? [55] 16.7% ------------------------------------------------------------------------ apply-match [34] 100.0% [44] 402(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [51] 50.2% loop! [84] 49.8% ------------------------------------------------------------------------ atab-pick-alt8 [37] 100.0% [45] 220(0.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [54] 100.0% ------------------------------------------------------------------------ apply-match [34] 100.0% [46] 202(0.5%) 202(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ match-e [33] 100.0% [47] 202(0.5%) 202(0.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ match-e [33] 100.0% [48] 200(0.5%) 200(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ------------------------------------------------------------------------ matcher [66] 50.0% ??? [38] 50.0% [49] 200(0.5%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [59] 50.0% *rules* [57] 50.0% ------------------------------------------------------------------------ loop [39] 100.0% [50] 22496(54.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [61] 59.3% make-exacts* [60] 40.7% ------------------------------------------------------------------------ for-loop [67] 16.6% for-loop [44] 33.4% apply-match [34] 50.0% [51] 604(1.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [63] 66.9% for-loop [67] 16.6% loop! [84] 16.6% ------------------------------------------------------------------------ location-do [52] 32.7% for-loop [40] 67.3% [52] 436(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [62] 67.3% location-do [52] 32.7% ------------------------------------------------------------------------ atab-add-altn [41] 100.0% [53] 430(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [71] 100.0% ------------------------------------------------------------------------ ??? [45] 100.0% [54] 220(0.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [64] 100.0% ------------------------------------------------------------------------ substitute-e [43] 100.0% [55] 202(0.5%) 202(0.5%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ------------------------------------------------------------------------ for-loop [42] 100.0% [56] 202(0.5%) 202(0.5%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------------ rewriter [49] 100.0% [57] 200(0.5%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [65] 100.0% ------------------------------------------------------------------------ atab-add-altn [41] 100.0% [58] 200(0.5%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [71] 100.0% ------------------------------------------------------------------------ rewriter [49] 100.0% [59] 200(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [66] 100.0% ------------------------------------------------------------------------ loop [50] 44.5% loop [39] 55.5% [60] 20570(49.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [81] 58.6% map [80] 41.4% ------------------------------------------------------------------------ loop [39] 4.6% loop [50] 95.4% [61] 13988(33.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [80] 100.0% ------------------------------------------------------------------------ location-do [52] 100.0% [62] 436(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [68] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [51] 100.0% [63] 404(1.0%) 404(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------ best-alt [54] 100.0% [64] 220(0.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [69] 100.0% ------------------------------------------------------------------------ *rules* [57] 100.0% [65] 200(0.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ormap [70] 100.0% ------------------------------------------------------------------------ matcher [66] 50.0% for-loop [59] 50.0% [66] 200(0.5%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 matcher [66] 50.0% rewriter [49] 50.0% ------------------------------------------------------------------------ merge-egraph-nodes! [51] 100.0% [67] 200(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [51] 100.0% ------------------------------------------------------------------------ approximate9 [62] 100.0% [68] 436(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% ------------------------------------------------------------------------ loop [64] 100.0% [69] 220(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [71] 100.0% ------------------------------------------------------------------------ for-loop [65] 100.0% [70] 200(0.5%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:106:13 ??? [94] 100.0% ------------------------------------------------------------------------ override-at-pnts [58] 23.5% composed [69] 25.9% best-and-tied-at-points [53] 50.6% [71] 850(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [73] 74.1% eval-prog [77] 25.9% ------------------------------------------------------------------------ ??? [76] 4.2% localize-error [23] 8.6% ??? [74] 12.2% loop [68] 12.2% for-loop [13] 16.4% for-loop [12] 20.6% ??? [6] 25.8% [72] 664(1.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [78] 25.8% ??? [4] 20.6% ??? [5] 16.4% ??? [74] 12.2% simplify [75] 12.2% f6 [79] 8.6% ??? [76] 4.2% ------------------------------------------------------------------------ errors [71] 100.0% [73] 630(1.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 100.0% ------------------------------------------------------------------------ hash-ref! [72] 100.0% [74] 436(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 100.0% ------------------------------------------------------------------------ hash-ref! [72] 100.0% [75] 436(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [78] 50.9% f6 [79] 49.1% ------------------------------------------------------------------------ hash-ref! [72] 100.0% [76] 222(0.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [72] 100.0% ------------------------------------------------------------------------ errors [71] 100.0% [77] 220(0.5%) 220(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ simplify [75] 16.4% loop [81] 32.9% hash-ref! [72] 50.7% [78] 450(1.1%) 222(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [81] 83.6% ------------------------------------------------------------------------ simplify [75] 16.1% map [80] 32.3% hash-ref! [72] 51.6% [79] 442(1.1%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [80] 100.0% ------------------------------------------------------------------------ f6 [79] 1.9% make-exacts* [60] 37.1% loop [61] 61.0% [80] 22946(55.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 98.2% ??? [83] 0.9% f6 [79] 0.6% make-multiplication-node [82] 0.3% ------------------------------------------------------------------------ make-exacts* [60] 0.2% parse-loop12 [78] 0.4% match-e [33] 0.6% extract-alt [17] 0.8% loop! [84] 1.1% map [80] 1.5% loop [81] 95.5% [81] 36418(87.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 95.5% ??? [83] 1.7% loop! [84] 1.1% simplify [3] 0.8% parse-loop12 [78] 0.4% ??? [6] 0.0% ??? [95] 0.0% ->flonum [86] 0.0% ------------------------------------------------------------------------ map [80] 100.0% [82] 214(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [85]100.0% ------------------------------------------------------------------------ map [80] 0.6% for-loop [73] 1.8% loop [81] 97.6% [83] 35008(84.2%) 60(0.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 94.8% real->bigfloat [88] 2.7% ??? [89] 2.3% ------------------------------------------------------------------------ merge-egraph-nodes! [51] 16.6% apply-match [34] 16.8% for-loop [44] 33.2% loop [81] 33.4% [84] 602(1.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [90] 49.8% loop [81] 33.4% set [92] 16.8% ------------------------------------------------------------------------ make-multiplication-node [82] 100.0% [85] 214(0.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 compose [91] 100.0% ------------------------------------------------------------------------ loop [81] 100.0% [86] 180(0.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 100.0% ------------------------------------------------------------------------ ??? [83] 100.0% [87] 33182(79.8%) 662(1.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [95] 95.3% ??? [94] 0.6% ------------------------------------------------------------------------ ??? [83] 100.0% [88] 944(2.3%) 944(2.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------ ??? [83] 100.0% [89] 822(2.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ------------------------------------------------------------------------ loop! [84] 100.0% [90] 400(1.0%) 400(1.0%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------------ make-multiplication-subnode [85]100.0% [91] 214(0.5%) 214(0.5%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ loop! [84] 100.0% [92] 202(0.5%) 202(0.5%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ->flonum [86] 100.0% [93] 180(0.4%) 180(0.4%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ------------------------------------------------------------------------ ormap [70] 48.8% ??? [87] 51.2% [94] 410(1.0%) 410(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ loop [81] 0.7% ??? [87] 97.4% [95] 32478(78.1%) 31104(74.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [97] 2.6% bfsin [98] 1.4% ??? [96] 0.2% ------------------------------------------------------------------------ ??? [95] 6.8% ??? [89] 93.2% [96] 882(2.1%) 462(1.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 47.6% ------------------------------------------------------------------------ ??? [95] 100.0% [97] 858(2.1%) 722(1.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 15.9% ------------------------------------------------------------------------ ??? [95] 100.0% [98] 456(1.1%) 282(0.7%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [100] 38.2% ------------------------------------------------------------------------ ??? [96] 100.0% [99] 420(1.0%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 100.0% ------------------------------------------------------------------------ bfmul [97] 43.9% bfsin [98] 56.1% [100] 310(0.7%) 310(0.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [99] 100.0% [101] 420(1.0%) 420(1.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------