Profiling results ----------------- Total cpu time observed: 46448ms (out of 47124ms) Number of samples taken: 200 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 99 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [30] 100.0% [1] 45148(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [2] 7552(16.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 80.2% loop [35] 11.5% get-final-combination [11] 8.3% ----------------------------------------------------------------------- loop [63] 10.2% ??? [30] 89.8% [3] 4118(8.9%) 202(0.4%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [16] 75.1% simplify-expr [10] 20.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [4] 220(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [12] 100.0% ----------------------------------------------------------------------- location-do [43] 100.0% [5] 200(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [54] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [6] 200(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [7] 200(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 45148(97.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 6060(13.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 824(1.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 624(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 220(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [13] 200(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [69] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [14] 200(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [69] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [15] 6060(13.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 61.0% finalize-iter! [21] 17.3% gen-series! [22] 14.3% localize-error [23] 3.8% choose-best-alt! [24] 3.7% ----------------------------------------------------------------------- simplify-expr [10] 21.0% simplify [3] 79.0% [16] 3916(8.4%) 202(0.4%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 94.8% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [17] 624(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [63] 67.6% loop [55] 32.4% ----------------------------------------------------------------------- for-loop [12] 100.0% [18] 220(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [69] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [19] 3714(8.0%) 202(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 72.4% apply-match [33] 11.4% loop [29] 10.8% ----------------------------------------------------------------------- run-iter! [15] 100.0% [20] 3696(8.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [21] 1046(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [22] 868(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 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! [69] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [24] 222(0.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [27] 100.0% ----------------------------------------------------------------------- simplify! [20] 100.0% [25] 3696(8.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [19] 50.0% [26] 2690(5.8%) 602(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [36] 38.8% ----------------------------------------------------------------------- choose-best-alt! [24] 17.5% finalize-iter! [21] 82.5% [27] 1268(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 82.5% atab-pick-alt8 [34] 17.5% ----------------------------------------------------------------------- gen-series! [22] 100.0% [28] 868(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- one-iter [19] 100.0% [29] 400(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ----------------------------------------------------------------------- for-loop [25] 2.8% run [8] 48.1% [30] 45764(98.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.1% loop [35] 42.2% run-improve58 [2] 7.0% simplify [3] 2.8% ----------------------------------------------------------------------- ??? [27] 100.0% [31] 1046(2.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ----------------------------------------------------------------------- for-loop [28] 100.0% [32] 868(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ----------------------------------------------------------------------- loop [29] 48.7% one-iter [19] 51.3% [33] 822(1.8%) 202(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 reduce-to-single! [40] 26.8% match-e [36] 24.3% merge-egraph-nodes! [41] 24.3% ----------------------------------------------------------------------- ??? [27] 100.0% [34] 222(0.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.2% ??? [30] 97.8% [35] 39080(84.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 48.9% make-exacts* [52] 36.3% loop [53] 14.9% ----------------------------------------------------------------------- apply-match [33] 2.9% for-loop [56] 5.8% for-loop [26] 91.3% [36] 2288(4.9%) 1668(3.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [56] 11.7% list-cartesian-product [47] 9.6% for-loop [51] 2.9% constant? [49] 2.9% ----------------------------------------------------------------------- for-loop [31] 100.0% [37] 1046(2.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 78.8% override-at-pnts [46] 21.2% ----------------------------------------------------------------------- taylor-alt [32] 100.0% [38] 868(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [34] 100.0% [39] 222(0.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [45] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [40] 220(0.5%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [48] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [41] 200(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [50] 100.0% ----------------------------------------------------------------------- loop [35] 100.0% [42] 19094(41.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 50.1% make-exacts* [52] 49.9% ----------------------------------------------------------------------- for-loop [38] 44.2% location-do [43] 55.8% [43] 868(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [43] 55.8% approximate9 [54] 38.5% loop [5] 5.8% ----------------------------------------------------------------------- atab-add-altn [37] 100.0% [44] 824(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% ----------------------------------------------------------------------- ??? [39] 100.0% [45] 222(0.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [55] 100.0% ----------------------------------------------------------------------- atab-add-altn [37] 100.0% [46] 222(0.5%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [64] 100.0% ----------------------------------------------------------------------- list-cartesian-product [47] 50.0% match-e [36] 50.0% [47] 220(0.5%) 220(0.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 50.0% ----------------------------------------------------------------------- reduce-to-single! [40] 100.0% [48] 220(0.5%) 220(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------- match-e [36] 100.0% [49] 200(0.4%) 200(0.4%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [50] 200(0.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [57] 100.0% ----------------------------------------------------------------------- match-e [36] 100.0% [51] 200(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [56] 100.0% ----------------------------------------------------------------------- loop [42] 40.2% loop [35] 59.8% [52] 23690(51.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [58] 56.6% loop [63] 43.4% ----------------------------------------------------------------------- loop [35] 37.8% loop [42] 62.2% [53] 15390(33.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ----------------------------------------------------------------------- loop [5] 23.0% location-do [43] 77.0% [54] 868(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [59] 71.4% f94 [78] 28.6% ----------------------------------------------------------------------- extract-alt [17] 47.6% best-alt [45] 52.4% [55] 424(0.9%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [60] 100.0% ----------------------------------------------------------------------- for-loop [51] 25.0% match-e [36] 75.0% [56] 400(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 50.0% ??? [61] 50.0% ----------------------------------------------------------------------- enode-merge! [50] 100.0% [57] 200(0.4%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [62] 100.0% ----------------------------------------------------------------------- f94 [78] 0.8% make-exacts* [52] 46.2% loop [53] 53.1% [58] 29008(62.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [63] 98.6% parse-loop12 [76] 0.8% ??? [68] 0.7% ----------------------------------------------------------------------- approximate9 [54] 100.0% [59] 620(1.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ----------------------------------------------------------------------- loop [55] 100.0% [60] 424(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [64] 100.0% ----------------------------------------------------------------------- for-loop [56] 100.0% [61] 200(0.4%) 200(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- adopt-enode! [57] 100.0% [62] 200(0.4%) 200(0.4%) custom-set-union ...et/private/set-types.rkt:168:0 ----------------------------------------------------------------------- ??? [68] 0.5% parse-loop12 [76] 0.6% f94 [78] 0.6% extract-alt [17] 0.7% make-exacts* [52] 0.9% map [58] 1.9% loop [63] 94.8% [63] 39784(85.7%) 458(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [63] 94.8% ??? [68] 2.7% simplify [3] 0.7% simplify [72] 0.6% ??? [66] 0.6% ??? [87] 0.2% real->bigfloat [71] 0.1% ->flonum [88] 0.0% ----------------------------------------------------------------------- override-at-pnts [46] 15.1% composed [60] 28.8% best-and-tied-at-points [44] 56.1% [64] 1470(3.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [65] 84.9% eval-prog [67] 15.1% ----------------------------------------------------------------------- errors [64] 100.0% [65] 1248(2.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [68] 100.0% ----------------------------------------------------------------------- loop [63] 100.0% [66] 228(0.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% ----------------------------------------------------------------------- errors [64] 100.0% [67] 222(0.5%) 222(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- map [58] 0.5% for-loop [65] 3.2% loop [63] 96.3% [68] 39418(84.9%) 1714(3.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [70] 80.9% real->bigfloat [71] 11.4% loop [63] 2.9% ??? [87] 0.5% ----------------------------------------------------------------------- for-loop [18] 4.3% ??? [75] 4.3% for-loop [14] 4.7% for-loop [13] 4.7% localize-error [23] 9.0% ??? [73] 14.9% loop [59] 14.9% ??? [66] 17.9% ??? [74] 25.2% [69] 848(1.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [76] 26.9% ??? [74] 25.2% ??? [73] 14.9% simplify [72] 14.9% ??? [7] 4.7% ??? [6] 4.7% ??? [75] 4.3% ??? [4] 4.3% ----------------------------------------------------------------------- ??? [68] 100.0% [70] 31872(68.6%) 1106(2.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 79.9% bf* [81] 8.7% ??? [93] 3.9% ...higher-order.rkt:373:33 [77] 2.1% bffma [79] 1.8% ----------------------------------------------------------------------- loop [63] 13.9% ??? [68] 86.1% [71] 5198(11.2%) 4458(9.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 14.2% ----------------------------------------------------------------------- loop [63] 28.6% hash-ref! [69] 71.4% [72] 868(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [78] 48.4% parse-loop12 [76] 28.6% debug-print [80] 23.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [73] 620(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [69] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [74] 620(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [69] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [75] 220(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [69] 100.0% ----------------------------------------------------------------------- map [58] 31.6% hash-ref! [69] 32.8% simplify [72] 35.6% [76] 696(1.5%) 220(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 make-multiplication-node [82] 35.6% loop [63] 21.8% loop [83] 10.9% ----------------------------------------------------------------------- ??? [70] 100.0% [77] 682(1.5%) 248(0.5%) ...higher-order.rkt:373:33 (unknown source) ??? [87] 34.6% ??? [85] 29.0% ----------------------------------------------------------------------- f94 [78] 18.6% approximate9 [54] 18.6% simplify [72] 62.9% [78] 668(1.4%) 200(0.4%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [58] 32.9% f94 [78] 18.6% loop [63] 18.6% ----------------------------------------------------------------------- ??? [70] 100.0% [79] 578(1.2%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [81] 100.0% ----------------------------------------------------------------------- simplify [72] 100.0% [80] 200(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [84] 100.0% ----------------------------------------------------------------------- bffma [79] 17.2% ??? [70] 82.8% [81] 3356(7.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [86] 100.0% ----------------------------------------------------------------------- parse-loop12 [76] 100.0% [82] 248(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [89]100.0% ----------------------------------------------------------------------- parse-loop12 [76] 14.3% loop [83] 85.7% [83] 228(0.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [83] 85.7% ->flonum [88] 14.3% ----------------------------------------------------------------------- debug-print [80] 100.0% [84] 200(0.4%) 200(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [77] 100.0% [85] 198(0.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [87] 100.0% ----------------------------------------------------------------------- bf* [81] 11.6% ??? [70] 88.4% [86] 28836(62.1%) 16680(35.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfatan2 [90] 22.8% ??? [91] 12.1% bflog [92] 7.2% ----------------------------------------------------------------------- ??? [68] 23.4% ??? [85] 23.9% loop [63] 24.2% ...higher-order.rkt:373:33 [77] 28.5% [87] 828(1.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ----------------------------------------------------------------------- loop [83] 33.5% loop [63] 66.5% [88] 680(1.5%) 448(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 34.1% ----------------------------------------------------------------------- make-multiplication-node [82] 100.0% [89] 248(0.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [94] 100.0% ----------------------------------------------------------------------- ??? [86] 100.0% [90] 6580(14.2%) 4416(9.5%) bfatan2 ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 32.9% ----------------------------------------------------------------------- ??? [87] 19.1% ??? [86] 80.9% [91] 4326(9.3%) 1984(4.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 49.2% ??? [97] 4.9% ----------------------------------------------------------------------- ??? [86] 100.0% [92] 2078(4.5%) 1840(4.0%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 11.5% ----------------------------------------------------------------------- ->flonum [88] 15.7% ??? [70] 84.3% [93] 1480(3.2%) 1480(3.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- make-multiplication-subnode [89]100.0% [94] 248(0.5%) 248(0.5%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- bflog [92] 7.6% real->bigfloat [71] 23.6% bfatan2 [90] 68.9% [95] 3142(6.8%) 3142(6.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [91] 100.0% [96] 2128(4.6%) 1712(3.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 19.5% ----------------------------------------------------------------------- ??? [91] 100.0% [97] 214(0.5%) 214(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 416(0.9%) 416(0.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------