Profiling results ----------------- Total cpu time observed: 39166ms (out of 39456ms) Number of samples taken: 168 (once every 233ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 97 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [18] 100.0% [1] 38504(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------------ location-do [74] 100.0% [2] 16500(42.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [10] 96.0% f37 [38] 2.7% taylor-sqrt [16] 1.3% ------------------------------------------------------------------------ hash-ref! [22] 100.0% [3] 12156(31.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [22] 100.0% [4] 11310(28.9%) 222(0.6%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 98.0% ------------------------------------------------------------------------ hash-ref! [22] 100.0% [5] 4560(11.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [13] 100.0% ------------------------------------------------------------------------ loop [67] 100.0% [6] 1244(3.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [14] 100.0% ------------------------------------------------------------------------ match-e [48] 100.0% [7] 402(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [15] 100.0% ------------------------------------------------------------------------ hash-ref! [22] 100.0% [8] 220(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [17] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [9] 38504(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [18] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [10] 15838(40.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [22] 100.0% ------------------------------------------------------------------------ ??? [3] 100.0% [11] 12156(31.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 11088(28.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [22] 96.2% simplify [27] 3.8% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 4560(11.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [59] 100.0% ------------------------------------------------------------------------ completely-simplify-alt [6] 100.0% [14] 1244(3.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 100.0% ------------------------------------------------------------------------ match-e [48] 35.6% for-loop [7] 64.4% [15] 624(1.6%) 222(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [48] 64.4% ------------------------------------------------------------------------ approximate9 [2] 49.8% f37 [38] 50.2% [16] 442(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [22] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [17] 220(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [27] 100.0% ------------------------------------------------------------------------ for-loop [57] 0.5% run [9] 49.1% [18] 39166(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.1% run-improve58 [21] 25.9% loop [26] 24.6% simplify [24] 0.5% ------------------------------------------------------------------------ for-loop [11] 100.0% [19] 12156(31.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [22] 100.0% ------------------------------------------------------------------------ simplify [24] 15.1% simplify-expr [14] 84.9% [20] 1466(3.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 85.0% map-enodes [25] 15.0% ------------------------------------------------------------------------ ??? [18] 100.0% [21] 20116(51.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [29] 75.8% for-loop [30] 21.0% loop [26] 2.1% get-final-combination [34] 1.1% ------------------------------------------------------------------------ taylor-sqrt [16] 2.0% ??? [31] 2.6% for-loop [63] 5.9% for-loop [12] 15.2% for-loop [19] 17.6% ??? [28] 27.1% loop [10] 27.1% [22] 16700(42.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [27] 27.9% ??? [28] 27.1% ??? [3] 17.6% ??? [4] 17.2% ??? [5] 6.1% ??? [31] 2.6% parse-loop50 [59] 1.2% ??? [8] 0.3% ------------------------------------------------------------------------ iterate-egraph!5 [20] 100.0% [23] 1246(3.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 83.8% loop [35] 16.2% ------------------------------------------------------------------------ ??? [18] 100.0% [24] 460(1.2%) 238(0.6%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [20] 48.3% ------------------------------------------------------------------------ iterate-egraph!5 [20] 100.0% [25] 220(0.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [33] 100.0% ------------------------------------------------------------------------ run-improve58 [21] 2.2% ??? [18] 97.8% [26] 19476(49.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [37] 45.0% make-exacts* [45] 42.2% loop [46] 12.8% ------------------------------------------------------------------------ for-loop [17] 1.4% for-loop [12] 2.6% hash-ref! [22] 96.0% [27] 16074(41.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [59] 61.2% f37 [38] 32.0% debug-print [40] 5.4% ------------------------------------------------------------------------ hash-ref! [22] 100.0% [28] 15838(40.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [22] 100.0% ------------------------------------------------------------------------ run-improve58 [21] 100.0% [29] 15242(38.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [36] 100.0% ------------------------------------------------------------------------ run-improve58 [21] 100.0% [30] 4234(10.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [39] 100.0% ------------------------------------------------------------------------ hash-ref! [22] 100.0% [31] 2330(5.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [22] 100.0% ------------------------------------------------------------------------ for-loop [32] 50.0% one-iter [23] 50.0% [32] 1044(2.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [48] 50.0% ------------------------------------------------------------------------ map-enodes [25] 100.0% [33] 220(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [41] 100.0% ------------------------------------------------------------------------ run-improve58 [21] 100.0% [34] 214(0.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [42] 100.0% ------------------------------------------------------------------------ one-iter [23] 100.0% [35] 202(0.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [43] 100.0% ------------------------------------------------------------------------ finalize-table! [29] 100.0% [36] 15242(38.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [44] 87.7% loop [67] 9.5% ??? [56] 2.8% ------------------------------------------------------------------------ loop [26] 100.0% [37] 8764(22.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [46] 57.6% make-exacts* [45] 37.1% eval-prog [75] 5.3% ------------------------------------------------------------------------ composed [55] 1.7% approximate9 [2] 3.8% append-map [62] 6.4% map [53] 7.2% parse-loop50 [59] 15.6% loop [67] 16.5% simplify [27] 48.9% [38] 7314(18.7%) 2190(5.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [53] 63.5% append-map [62] 10.5% composed [55] 4.1% taylor-sqrt [16] 3.0% ------------------------------------------------------------------------ for-loop [30] 100.0% [39] 4234(10.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [47] 74.0% finalize-iter! [50] 15.2% simplify! [51] 10.9% ------------------------------------------------------------------------ simplify [27] 100.0% [40] 868(2.2%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [49] 100.0% ------------------------------------------------------------------------ for-loop [33] 100.0% [41] 220(0.6%) 220(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------ get-final-combination [34] 100.0% [42] 214(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [52] 100.0% ------------------------------------------------------------------------ loop [35] 100.0% [43] 202(0.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [48] 100.0% ------------------------------------------------------------------------ post-process [36] 100.0% [44] 13368(34.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [62] 100.0% ------------------------------------------------------------------------ loop [37] 28.4% loop [26] 71.6% [45] 11470(29.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [53] 54.1% loop [67] 45.9% ------------------------------------------------------------------------ loop [26] 33.1% loop [37] 66.9% [46] 7542(19.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 100.0% ------------------------------------------------------------------------ run-iter! [39] 100.0% [47] 3132(8.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [54] 100.0% ------------------------------------------------------------------------ apply-match [43] 8.1% for-loop [15] 16.1% for-loop [32] 75.8% [48] 1246(3.2%) 822(2.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [15] 17.8% for-loop [7] 16.1% filter [58] 8.1% ------------------------------------------------------------------------ debug-print [40] 100.0% [49] 868(2.2%) 868(2.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ run-iter! [39] 100.0% [50] 642(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [56] 100.0% ------------------------------------------------------------------------ run-iter! [39] 100.0% [51] 460(1.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [57] 100.0% ------------------------------------------------------------------------ extract-alt [42] 100.0% [52] 214(0.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [55] 100.0% ------------------------------------------------------------------------ parse-loop50 [59] 10.8% f37 [38] 24.7% make-exacts* [45] 29.1% loop [46] 35.4% [53] 21286(54.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 68.2% parse-loop50 [59] 27.1% f37 [38] 3.3% ??? [77] 1.4% ------------------------------------------------------------------------ gen-series! [47] 100.0% [54] 3132(8.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [68] 100.0% ------------------------------------------------------------------------ loop [52] 16.7% f37 [38] 83.3% [55] 1282(3.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 parse-loop50 [59] 50.4% f37 [38] 32.9% errors [72] 16.7% ------------------------------------------------------------------------ post-process [36] 40.1% finalize-iter! [50] 59.9% [56] 1072(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [60] 81.3% atab-add-altns [61] 18.7% ------------------------------------------------------------------------ simplify! [51] 100.0% [57] 460(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [18] 100.0% ------------------------------------------------------------------------ match-e [48] 100.0% [58] 202(0.5%) 202(0.5%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------ append-map [62] 0.4% hash-ref! [22] 1.3% composed [55] 1.4% loop [67] 9.6% for-loop [13] 13.8% map [53] 20.4% simplify [27] 21.2% parse-loop50 [59] 31.8% [59] 15374(39.3%) 10904(27.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [59] 31.8% loop [67] 17.0% for-loop [63] 12.5% f37 [38] 6.2% map [53] 4.0% append-map [62] 1.8% parse-app [65] 1.0% make-multiplication-node [66] 0.7% ------------------------------------------------------------------------ ??? [56] 100.0% [60] 872(2.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [64] 100.0% ------------------------------------------------------------------------ ??? [56] 100.0% [61] 200(0.5%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [64] 100.0% ------------------------------------------------------------------------ parse-loop50 [59] 1.4% f37 [38] 5.1% for-loop [44] 93.5% [62] 13792(35.2%) 1068(2.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [68] 93.5% f37 [38] 3.1% loop [67] 1.1% parse-loop50 [59] 0.3% ------------------------------------------------------------------------ parse-loop50 [59] 100.0% [63] 4356(11.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [22] 100.0% ------------------------------------------------------------------------ atab-add-altns [61] 18.7% for-loop [60] 81.3% [64] 1072(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [69] 100.0% ------------------------------------------------------------------------ parse-loop50 [59] 100.0% [65] 626(1.6%) 626(1.6%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ parse-loop50 [59] 100.0% [66] 200(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [70]100.0% ------------------------------------------------------------------------ make-exacts* [45] 0.2% append-map [62] 0.6% post-process [36] 0.7% map [53] 5.0% parse-loop50 [59] 16.9% loop [67] 76.6% [67] 27838(71.1%) 740(1.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 76.6% parse-loop50 [59] 15.5% f37 [38] 5.1% ??? [77] 1.2% completely-simplify-alt [6] 0.7% ??? [82] 0.0% ->flonum [73] 0.0% ------------------------------------------------------------------------ for-loop [54] 19.0% append-map [62] 81.0% [68] 16500(42.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [71] 100.0% ------------------------------------------------------------------------ atab-add-altn [64] 100.0% [69] 1072(2.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [72] 100.0% ------------------------------------------------------------------------ make-multiplication-node [66] 100.0% [70] 200(0.5%) 200(0.5%) make-multiplication-subnode ...re/reduce.rkt:231:0 ------------------------------------------------------------------------ taylor-alt [68] 100.0% [71] 16500(42.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [74] 100.0% ------------------------------------------------------------------------ composed [55] 16.6% best-and-tied-at-points [69] 83.4% [72] 1286(3.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [75] 84.4% for-loop [76] 15.6% ------------------------------------------------------------------------ loop [67] 100.0% [73] 710(1.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 100.0% ------------------------------------------------------------------------ for-loop [71] 36.3% location-do [74] 63.7% [74] 16500(42.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [74] 63.7% approximate9 [2] 36.3% ------------------------------------------------------------------------ loop [37] 29.9% errors [72] 70.1% [75] 1550(4.0%) 1086(2.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 go [78] 15.6% inductor [79] 14.3% ------------------------------------------------------------------------ errors [72] 100.0% [76] 200(0.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [77] 100.0% ------------------------------------------------------------------------ for-loop [76] 1.1% map [53] 1.7% loop [67] 97.1% [77] 17762(45.4%) 1130(2.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 77.9% real->bigfloat [81] 13.3% ??? [87] 2.5% ------------------------------------------------------------------------ eval-prog [75] 100.0% [78] 242(0.6%) 242(0.6%) go .../collects/racket/private/qq-and-or.rkt:50:20 ------------------------------------------------------------------------ inductor [79] 50.0% eval-prog [75] 50.0% [79] 222(0.6%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [79] 50.0% real->bigfloat [81] 50.0% ------------------------------------------------------------------------ ??? [77] 100.0% [80] 13830(35.3%) 200(0.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 89.8% ...higher-order.rkt:373:33 [83] 7.3% ------------------------------------------------------------------------ inductor [79] 8.6% ??? [77] 91.4% [81] 2582(6.6%) 2348(6.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [88] 9.1% ------------------------------------------------------------------------ loop [67] 1.6% ??? [80] 98.4% [82] 12624(32.2%) 6158(15.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [84] 26.6% bfatan [85] 17.2% ??? [89] 7.4% ------------------------------------------------------------------------ ??? [80] 100.0% [83] 1006(2.6%) 242(0.6%) ...higher-order.rkt:373:33 (unknown source) ??? [87] 52.1% ??? [86] 23.9% ------------------------------------------------------------------------ ??? [82] 100.0% [84] 3354(8.6%) 2868(7.3%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [88] 14.5% ------------------------------------------------------------------------ ??? [82] 100.0% [85] 2176(5.6%) 1738(4.4%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [88] 20.1% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [83] 100.0% [86] 240(0.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [87] 100.0% ------------------------------------------------------------------------ ??? [86] 19.9% ??? [77] 36.7% ...higher-order.rkt:373:33 [83] 43.4% [87] 1206(3.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ------------------------------------------------------------------------ real->bigfloat [81] 20.2% bfatan [85] 37.8% bfexpt [84] 42.0% [88] 1158(3.0%) 1158(3.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ->flonum [73] 24.9% ??? [82] 32.8% ??? [87] 42.3% [89] 2852(7.3%) 1430(3.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [90] 49.9% ------------------------------------------------------------------------ ??? [89] 100.0% [90] 1422(3.6%) 694(1.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [91] 51.2% ------------------------------------------------------------------------ ??? [90] 100.0% [91] 728(1.9%) 728(1.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------