Profiling results ----------------- Total cpu time observed: 102182ms (out of 103088ms) Number of samples taken: 448 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 105 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [38] 100.0% [1] 101720(99.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ------------------------------------------------------------------------ ??? [38] 100.0% [2] 8782(8.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 78.7% loop [45] 14.5% get-final-combination [15] 6.9% ------------------------------------------------------------------------ loop [86] 12.7% ??? [38] 87.3% [3] 4760(4.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 57.3% iterate-egraph!5 [20] 34.2% for-loop [17] 8.4% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [4] 866(0.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [83] 74.4% f6 [13] 25.6% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [5] 866(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ------------------------------------------------------------------------ loop [86] 100.0% [6] 666(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [81] 100.0% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [7] 422(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [8] 422(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [81] 52.1% for-loop [18] 47.9% ------------------------------------------------------------------------ match-e [39] 100.0% [9] 222(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [10] 101720(99.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [38] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 6908(6.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [12] 2728(2.7%) 200(0.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 85.3% loop [24] 7.3% ------------------------------------------------------------------------ f6 [13] 6.7% map [71] 6.7% simplify [4] 10.0% hash-ref! [81] 76.7% [13] 1110(1.1%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [71] 86.7% f6 [13] 6.7% loop [23] 6.7% ------------------------------------------------------------------------ ??? [5] 100.0% [14] 866(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [81] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [15] 604(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [16] 422(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [22] 50.0% hash-ref! [81] 50.0% ------------------------------------------------------------------------ simplify [3] 100.0% [17] 402(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [18] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [81] 100.0% ------------------------------------------------------------------------ for-loop [11] 100.0% [19] 6908(6.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 60.2% finalize-iter! [27] 14.8% gen-series! [28] 12.5% localize-error [29] 9.6% choose-best-alt! [31] 2.9% ------------------------------------------------------------------------ for-loop [17] 9.2% simplify [3] 37.4% simplify-expr [12] 53.4% [20] 4360(4.3%) 202(0.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [25] 95.4% ------------------------------------------------------------------------ get-final-combination [15] 100.0% [21] 604(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [86] 100.0% ------------------------------------------------------------------------ for-loop [16] 100.0% [22] 422(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [81] 100.0% ------------------------------------------------------------------------ f6 [13] 100.0% [23] 222(0.2%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [81] 100.0% ------------------------------------------------------------------------ simplify-expr [12] 100.0% [24] 200(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [30] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [20] 100.0% [25] 4158(4.1%) 402(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 70.5% loop [36] 15.0% apply-match [42] 4.8% ------------------------------------------------------------------------ run-iter! [19] 100.0% [26] 4156(4.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [27] 1020(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [28] 866(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [29] 666(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [81] 100.0% ------------------------------------------------------------------------ loop [24] 100.0% [30] 200(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [37] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [31] 200(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [34] 100.0% ------------------------------------------------------------------------ simplify! [26] 100.0% [32] 4156(4.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [38] 100.0% ------------------------------------------------------------------------ for-loop [33] 50.0% one-iter [25] 50.0% [33] 2932(2.9%) 842(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [39] 35.6% ------------------------------------------------------------------------ choose-best-alt! [31] 16.4% finalize-iter! [27] 83.6% [34] 1220(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 83.6% atab-pick-alt8 [44] 16.4% ------------------------------------------------------------------------ gen-series! [28] 100.0% [35] 866(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [41] 100.0% ------------------------------------------------------------------------ one-iter [25] 100.0% [36] 624(0.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 100.0% ------------------------------------------------------------------------ pass [30] 100.0% [37] 200(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [43] 100.0% ------------------------------------------------------------------------ for-loop [32] 1.4% run [10] 49.2% [38] 101940(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.2% loop [45] 45.7% run-improve58 [2] 3.7% simplify [3] 1.4% ------------------------------------------------------------------------ for-loop [49] 10.1% for-loop [33] 89.9% [39] 2090(2.0%) 1670(1.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 15.4% list-cartesian-product [50] 9.6% for-loop [9] 5.3% ------------------------------------------------------------------------ ??? [34] 100.0% [40] 1020(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [46] 100.0% ------------------------------------------------------------------------ for-loop [35] 100.0% [41] 866(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% ------------------------------------------------------------------------ one-iter [25] 24.3% loop [36] 75.7% [42] 824(0.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [48] 100.0% ------------------------------------------------------------------------ for-loop [37] 100.0% [43] 200(0.2%) 200(0.2%) argmin ...re/racket/collects/racket/list.rkt:743:0 ------------------------------------------------------------------------ ??? [34] 100.0% [44] 200(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [51] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 1.3% ??? [38] 98.7% [45] 94428(92.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [62] 56.5% loop [52] 42.2% loop [63] 1.1% for-loop [58] 0.2% ------------------------------------------------------------------------ for-loop [40] 100.0% [46] 1020(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54] 79.6% override-at-pnts [57] 20.4% ------------------------------------------------------------------------ taylor-alt [41] 100.0% [47] 866(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ------------------------------------------------------------------------ apply-match [42] 100.0% [48] 824(0.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [55] 26.9% loop! [90] 24.5% for-loop [59] 24.3% enode-merge! [60] 24.3% ------------------------------------------------------------------------ for-loop [9] 34.5% match-e [39] 65.5% [49] 644(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 65.8% ??? [56] 34.2% ------------------------------------------------------------------------ match-e [39] 100.0% [50] 200(0.2%) 200(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ atab-pick-alt8 [44] 100.0% [51] 200(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [61] 100.0% ------------------------------------------------------------------------ loop [45] 100.0% [52] 39846(39.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 62.9% make-exacts* [62] 37.1% ------------------------------------------------------------------------ location-do [53] 25.6% for-loop [47] 74.4% [53] 866(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [64] 74.4% location-do [53] 25.6% ------------------------------------------------------------------------ atab-add-altn [46] 100.0% [54] 812(0.8%) 208(0.2%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [76] 74.4% ------------------------------------------------------------------------ merge-egraph-nodes! [48] 100.0% [55] 222(0.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [65] 100.0% ------------------------------------------------------------------------ for-loop [49] 100.0% [56] 220(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [66] 100.0% ------------------------------------------------------------------------ atab-add-altn [46] 100.0% [57] 208(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 for-loop [67] 100.0% ------------------------------------------------------------------------ loop [45] 100.0% [58] 202(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [68] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [48] 100.0% [59] 200(0.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------ merge-egraph-nodes! [48] 100.0% [60] 200(0.2%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [69] 100.0% ------------------------------------------------------------------------ ??? [51] 100.0% [61] 200(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [70] 100.0% ------------------------------------------------------------------------ loop [52] 21.7% loop [45] 78.3% [62] 68126(66.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [86] 50.5% map [71] 49.5% ------------------------------------------------------------------------ loop [45] 4.0% loop [52] 96.0% [63] 26100(25.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [71] 100.0% ------------------------------------------------------------------------ location-do [53] 100.0% [64] 866(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [72] 100.0% ------------------------------------------------------------------------ update-leader! [55] 100.0% [65] 222(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [73] 100.0% ------------------------------------------------------------------------ ??? [56] 100.0% [66] 220(0.2%) 220(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ override-at-pnts [57] 100.0% [67] 208(0.2%) 208(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:146:43 ------------------------------------------------------------------------ for-loop [58] 100.0% [68] 202(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [74] 100.0% ------------------------------------------------------------------------ enode-merge! [60] 100.0% [69] 200(0.2%) 200(0.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------------ best-alt [61] 100.0% [70] 200(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [75] 100.0% ------------------------------------------------------------------------ f6 [13] 1.8% loop [63] 42.8% make-exacts* [62] 55.4% [71] 60944(59.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [86] 99.0% f6 [13] 0.4% ??? [88] 0.3% taylor-quotient [77] 0.2% parse-loop12 [83] 0.2% ------------------------------------------------------------------------ approximate9 [64] 100.0% [72] 866(0.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [81] 100.0% ------------------------------------------------------------------------ for-loop [65] 100.0% [73] 222(0.2%) 222(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 ------------------------------------------------------------------------ for-loop [68] 100.0% [74] 202(0.2%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [78] 100.0% ------------------------------------------------------------------------ loop [70] 100.0% [75] 200(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [76] 100.0% ------------------------------------------------------------------------ composed [75] 24.9% best-and-tied-at-points [54] 75.1% [76] 804(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [79] 100.0% ------------------------------------------------------------------------ map [71] 100.0% [77] 222(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [80] 100.0% ------------------------------------------------------------------------ sample-double [74] 100.0% [78] 202(0.2%) 202(0.2%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ------------------------------------------------------------------------ errors [76] 100.0% [79] 804(0.8%) 200(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [88] 49.8% ??? [82] 25.4% ------------------------------------------------------------------------ taylor-quotient [77] 100.0% [80] 222(0.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [81] 100.0% ------------------------------------------------------------------------ for-loop [18] 2.2% ??? [8] 2.4% first-nonzero-exp [80] 3.6% loop [23] 3.6% for-loop [16] 4.6% ??? [22] 4.6% ??? [85] 4.6% ??? [84] 7.2% for-loop [14] 11.8% loop [72] 11.8% localize-error [29] 17.1% ??? [6] 26.3% [81] 1532(1.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [83] 26.3% f6 [13] 24.4% ??? [5] 11.8% simplify [4] 11.8% ??? [7] 9.2% ??? [84] 7.2% ??? [85] 4.6% ??? [8] 4.6% ------------------------------------------------------------------------ for-loop [79] 100.0% [82] 204(0.2%) 204(0.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------ map [71] 7.2% simplify [4] 21.4% parse-loop12 [83] 27.9% hash-ref! [81] 43.5% [83] 1532(1.5%) 644(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [86] 43.5% parse-loop12 [83] 27.9% parse-app [87] 14.5% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [84] 444(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [81] 100.0% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [85] 422(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [81] 100.0% ------------------------------------------------------------------------ parse-loop12 [83] 0.0% loop! [90] 0.1% make-exacts* [62] 0.1% extract-alt [21] 0.1% map [71] 1.3% loop [86] 98.3% [86] 95760(93.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [86] 98.3% ??? [88] 1.4% simplify [3] 0.1% loop! [90] 0.1% ??? [6] 0.0% ??? [95] 0.0% ->flonum [89] 0.0% ------------------------------------------------------------------------ parse-loop12 [83] 100.0% [87] 222(0.2%) 222(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ map [71] 0.2% for-loop [79] 0.4% loop [86] 99.4% [88] 94428(92.4%) 1120(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [91] 97.7% ??? [99] 0.2% ------------------------------------------------------------------------ loop [86] 100.0% [89] 440(0.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [92] 50.0% ??? [100] 50.0% ------------------------------------------------------------------------ loop [86] 50.0% merge-egraph-nodes! [48] 50.0% [90] 202(0.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [86] 50.0% set [93] 50.0% ------------------------------------------------------------------------ ??? [88] 100.0% [91] 92258(90.3%) 636(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [95] 97.6% ...higher-order.rkt:373:33 [94] 1.0% ------------------------------------------------------------------------ ->flonum [89] 100.0% [92] 220(0.2%) 220(0.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ loop! [90] 100.0% [93] 202(0.2%) 202(0.2%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ??? [91] 100.0% [94] 910(0.9%) 246(0.2%) ...higher-order.rkt:373:33 (unknown source) ??? [96] 73.0% ------------------------------------------------------------------------ loop [86] 0.7% ??? [91] 98.5% [95] 91378(89.4%) 84036(82.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [97] 4.0% bfcos [98] 2.7% ??? [100] 1.2% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [94]100.0% [96] 664(0.6%) 222(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 66.6% ------------------------------------------------------------------------ ??? [95] 100.0% [97] 3696(3.6%) 2796(2.7%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [101] 24.4% ------------------------------------------------------------------------ ??? [95] 100.0% [98] 2512(2.5%) 1950(1.9%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [101] 22.4% ------------------------------------------------------------------------ ??? [88] 33.2% ??? [96] 66.8% [99] 662(0.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ------------------------------------------------------------------------ ->flonum [89] 10.9% ??? [99] 32.8% ??? [95] 56.2% [100] 2016(2.0%) 674(0.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [102] 66.6% ------------------------------------------------------------------------ bfcos [98] 38.4% bfadd [97] 61.6% [101] 1462(1.4%) 1462(1.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [100] 100.0% [102] 1342(1.3%) 1100(1.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [103] 18.0% ------------------------------------------------------------------------ ??? [102] 100.0% [103] 242(0.2%) 242(0.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------