Profiling results ----------------- Total cpu time observed: 21476ms (out of 21736ms) Number of samples taken: 98 (once every 219ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [23] 100.0% [1] 19584(91.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [2] 14272(66.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 91.5% get-final-combination [7] 7.0% setup-prog [8] 1.4% ---------------------------------------------------------------------- loop [67] 100.0% [3] 222(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [20] 50.0% map [52] 50.0% ---------------------------------------------------------------------- f94 [66] 100.0% [4] 200(0.9%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [67] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 19584(91.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 13066(60.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 1006(4.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 200(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [9] 13066(60.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 95.2% localize-error [14] 1.7% finalize-iter! [15] 1.5% gen-series! [16] 1.5% ---------------------------------------------------------------------- get-final-combination [7] 100.0% [10] 1006(4.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% ---------------------------------------------------------------------- setup-prog [8] 100.0% [11] 200(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% ---------------------------------------------------------------------- simplify-alt [11] 1.5% loop [67] 7.4% ??? [23] 91.2% [12] 13648(63.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [18] 62.6% for-loop [19] 22.7% iterate-egraph!5 [24] 14.7% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 12442(57.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [17] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [14] 222(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [20] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [15] 202(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [21] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [16] 200(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [17] 12442(57.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [23] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [18] 8548(39.8%) 200(0.9%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [24] 92.8% loop [25] 4.9% ---------------------------------------------------------------------- simplify [12] 100.0% [19] 3096(14.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [24] 100.0% ---------------------------------------------------------------------- ??? [3] 50.0% localize-error [14] 50.0% [20] 222(1.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [26] 100.0% ---------------------------------------------------------------------- finalize-iter! [15] 100.0% [21] 202(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 100.0% ---------------------------------------------------------------------- gen-series! [16] 100.0% [22] 200(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ---------------------------------------------------------------------- for-loop [17] 20.9% run [5] 37.8% [23] 21046(98.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 37.8% run-improve58 [2] 25.2% simplify [12] 20.9% loop [30] 16.1% ---------------------------------------------------------------------- simplify [12] 15.4% for-loop [19] 23.8% simplify-expr [18] 60.9% [24] 13032(60.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [29] 93.8% map-enodes [31] 6.2% ---------------------------------------------------------------------- simplify-expr [18] 100.0% [25] 416(1.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [32] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [26] 222(1.0%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 100.0% ---------------------------------------------------------------------- ??? [21] 100.0% [27] 202(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [33] 100.0% ---------------------------------------------------------------------- for-loop [22] 100.0% [28] 200(0.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [29] 12228(56.9%) 442(2.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [35] 43.2% for-loop [36] 41.5% apply-match [42] 10.0% ---------------------------------------------------------------------- ??? [23] 100.0% [30] 6774(31.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [43] 61.1% loop [37] 35.5% filter-points [39] 3.4% ---------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [31] 804(3.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [67] 100.0% ---------------------------------------------------------------------- loop [25] 100.0% [32] 416(1.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [38] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [33] 202(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% ---------------------------------------------------------------------- taylor-alt [28] 100.0% [34] 200(0.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% ---------------------------------------------------------------------- one-iter [29] 100.0% [35] 5286(24.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 100.0% ---------------------------------------------------------------------- for-loop [36] 50.0% one-iter [29] 50.0% [36] 5076(23.6%) 1004(4.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 50.0% match-e [51] 38.1% ??? [48] 2.0% ---------------------------------------------------------------------- loop [30] 100.0% [37] 2404(11.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [44] 63.3% make-exacts* [43] 36.7% ---------------------------------------------------------------------- pass [32] 100.0% [38] 416(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [46] 51.9% argmin [49] 48.1% ---------------------------------------------------------------------- loop [30] 100.0% [39] 232(1.1%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [45] 100.0% ---------------------------------------------------------------------- atab-add-altn [33] 100.0% [40] 202(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [47] 100.0% ---------------------------------------------------------------------- location-do [41] 50.0% for-loop [34] 50.0% [41] 200(0.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [41] 50.0% approximate9 [50] 50.0% ---------------------------------------------------------------------- one-iter [29] 18.8% loop [35] 81.2% [42] 6510(30.3%) 404(1.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [51] 34.6% merge-egraph-nodes! [53] 34.2% for-loop [54] 15.7% loop! [75] 6.2% substitute-e [63] 3.1% ---------------------------------------------------------------------- loop [37] 17.6% loop [30] 82.4% [43] 5020(23.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [52] 56.5% loop [67] 43.5% ---------------------------------------------------------------------- loop [37] 100.0% [44] 1522(7.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ---------------------------------------------------------------------- filter-points [39] 100.0% [45] 232(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 andmap [55] 100.0% ---------------------------------------------------------------------- for-loop [38] 100.0% [46] 216(1.0%) 216(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [47] 202(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [56] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [48] 200(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [57] 100.0% ---------------------------------------------------------------------- for-loop [38] 100.0% [49] 200(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [58] 100.0% ---------------------------------------------------------------------- location-do [41] 100.0% [50] 200(0.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 for-loop [59] 100.0% ---------------------------------------------------------------------- for-loop [68] 18.4% apply-match [42] 26.6% for-loop [36] 55.0% [51] 6126(28.5%) 3070(14.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [60] 48.4% list-cartesian-product [70] 4.9% loop [67] 3.3% for-loop [68] 3.3% ---------------------------------------------------------------------- f94 [66] 4.2% ??? [3] 4.6% loop [44] 31.8% make-exacts* [43] 59.3% [52] 4782(22.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 91.2% ->flonum [83] 4.6% f94 [66] 4.2% ---------------------------------------------------------------------- merge-egraph-nodes! [53] 4.5% for-loop [64] 9.0% apply-match [42] 86.6% [53] 2224(10.4%) 200(0.9%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [61] 32.4% loop! [75] 26.9% enode-merge! [62] 18.3% for-loop [64] 9.0% merge-egraph-nodes! [53] 4.5% ---------------------------------------------------------------------- apply-match [42] 100.0% [54] 1024(4.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [69] 60.5% substitute-e [63] 19.7% loop! [75] 19.7% ---------------------------------------------------------------------- for-loop [45] 100.0% [55] 232(1.1%) 232(1.1%) andmap ...et/collects/racket/private/map.rkt:75:13 ---------------------------------------------------------------------- errors [47] 100.0% [56] 202(0.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 100.0% ---------------------------------------------------------------------- ??? [48] 100.0% [57] 200(0.9%) 200(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- argmin [49] 100.0% [58] 200(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [65] 100.0% ---------------------------------------------------------------------- approximate9 [50] 100.0% [59] 200(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [66] 100.0% ---------------------------------------------------------------------- match-e [51] 100.0% [60] 3476(16.2%) 1226(5.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [68] 53.2% list-cartesian-product [70] 8.6% loop [67] 5.8% ---------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [61] 820(3.8%) 200(0.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [71] 75.6% ---------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [62] 406(1.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [72] 50.2% custom-set-intersect! [73] 49.8% ---------------------------------------------------------------------- for-loop [54] 50.0% apply-match [42] 50.0% [63] 404(1.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [69] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [64] 400(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [53] 100.0% ---------------------------------------------------------------------- expression-cost [58] 100.0% [65] 200(0.9%) 200(0.9%) compile .../ztatlock/herbie/src/programs.rkt:189:0 ---------------------------------------------------------------------- f94 [66] 20.0% for-loop [59] 20.0% map [52] 60.0% [66] 200(0.9%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [52] 60.0% f94 [66] 20.0% taylor [4] 20.0% ---------------------------------------------------------------------- parse-loop12 [26] 0.1% make-exacts* [43] 0.1% ??? [74] 0.2% map [52] 1.0% map-enodes [31] 1.2% taylor [4] 2.0% for-loop [60] 2.0% match-e [51] 2.0% loop! [75] 2.5% extract-alt [10] 5.0% loop [67] 84.1% [67] 10186(47.4%) 604(2.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 84.1% simplify [12] 5.0% loop! [75] 2.5% for-loop [76] 1.2% ??? [74] 1.1% real->bigfloat [79] 0.2% ??? [3] 0.1% ---------------------------------------------------------------------- match-e [51] 16.3% for-loop [60] 83.7% [68] 2450(11.4%) 622(2.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [51] 83.2% ---------------------------------------------------------------------- substitute-e [63] 39.5% for-loop [54] 60.5% [69] 1024(4.8%) 1024(4.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- for-loop [60] 24.9% list-cartesian-product [70] 37.4% match-e [51] 37.7% [70] 804(3.7%) 602(2.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [70] 37.4% for-loop [78] 12.6% ---------------------------------------------------------------------- update-leader! [61] 100.0% [71] 620(2.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [77] 67.7% ---------------------------------------------------------------------- enode-merge! [62] 100.0% [72] 204(0.9%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [81] 100.0% ---------------------------------------------------------------------- enode-merge! [62] 100.0% [73] 202(0.9%) 202(0.9%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ---------------------------------------------------------------------- for-loop [56] 2.9% loop [67] 97.1% [74] 6954(32.4%) 218(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [79] 36.8% ??? [80] 36.0% loop [67] 12.1% ??? [96] 9.1% ->flonum [83] 2.9% ---------------------------------------------------------------------- for-loop [54] 7.2% apply-match [42] 21.5% merge-egraph-nodes! [53] 35.6% loop [67] 35.7% [75] 1402(6.5%) 402(1.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [81] 35.7% loop [67] 35.7% update-en-expr [85] 7.1% set [86] 7.1% ---------------------------------------------------------------------- loop [67] 100.0% [76] 804(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [82] 100.0% ---------------------------------------------------------------------- for-loop [71] 100.0% [77] 420(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [84] 100.0% ---------------------------------------------------------------------- list-cartesian-product [70] 100.0% [78] 202(0.9%) 202(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- loop [67] 24.8% ??? [74] 75.2% [79] 3400(15.8%) 2956(13.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 13.1% ---------------------------------------------------------------------- ??? [74] 100.0% [80] 2502(11.7%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 83.0% ...higher-order.rkt:373:33 [88] 17.0% ---------------------------------------------------------------------- adopt-enode! [72] 25.4% loop! [75] 74.6% [81] 804(3.7%) 604(2.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [92] 24.9% ---------------------------------------------------------------------- for-loop [76] 100.0% [82] 804(3.7%) 402(1.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [90] 50.0% ---------------------------------------------------------------------- ??? [74] 47.6% map [52] 52.4% [83] 424(2.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 52.4% ??? [91] 47.6% ---------------------------------------------------------------------- for-loop [77] 100.0% [84] 420(2.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [89] 100.0% ---------------------------------------------------------------------- loop! [75] 100.0% [85] 200(0.9%) 200(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- loop! [75] 100.0% [86] 200(0.9%) 200(0.9%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [80] 100.0% [87] 2076(9.7%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [93] 89.6% ??? [98] 10.4% ---------------------------------------------------------------------- ??? [80] 100.0% [88] 426(2.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ---------------------------------------------------------------------- hash-update! [84] 100.0% [89] 420(2.0%) 220(1.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [95] 47.6% ---------------------------------------------------------------------- setfindf [82] 100.0% [90] 402(1.9%) 402(1.9%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ---------------------------------------------------------------------- ->flonum [83] 100.0% [91] 202(0.9%) 202(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- custom-set-union [81] 100.0% [92] 200(0.9%) 200(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 ---------------------------------------------------------------------- ??? [87] 100.0% [93] 1860(8.7%) 1634(7.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 12.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [94] 426(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [95] 200(0.9%) 200(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ??? [94] 40.3% ??? [74] 59.7% [96] 1058(4.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ---------------------------------------------------------------------- bfadd [93] 33.7% real->bigfloat [79] 66.3% [97] 670(3.1%) 670(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [87] 14.4% ->flonum [83] 14.8% ??? [96] 70.7% [98] 1496(7.0%) 840(3.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 43.9% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 656(3.1%) 418(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 36.3% ---------------------------------------------------------------------- ??? [99] 100.0% [100] 238(1.1%) 238(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------