Profiling results ----------------- Total cpu time observed: 21300ms (out of 21796ms) Number of samples taken: 90 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 95 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [27] 100.0% [1] 20876(98.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [27] 100.0% [2] 5476(25.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [8] 50.3% for-loop [9] 38.5% loop [31] 7.3% get-final-combination [14] 4.0% ----------------------------------------------------------------------- hash-ref! [47] 100.0% [3] 1528(7.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [47] 100.0% [4] 1132(5.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ----------------------------------------------------------------------- loop [49] 100.0% [5] 1002(4.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- hash-ref! [47] 100.0% [6] 688(3.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 20876(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2752(12.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2108(9.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ----------------------------------------------------------------------- simplify [55] 46.0% completely-simplify-alt [5] 54.0% [10] 1854(8.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [67] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [11] 1528(7.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [17] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 1132(5.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [47] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 688(3.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [47] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 218(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ----------------------------------------------------------------------- finalize-table! [8] 100.0% [15] 2752(12.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [19] 55.5% loop [49] 44.5% ----------------------------------------------------------------------- for-loop [9] 100.0% [16] 2108(9.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [20] 40.3% simplify! [21] 39.7% finalize-iter! [22] 20.0% ----------------------------------------------------------------------- for-loop [11] 100.0% [17] 1528(7.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [47] 100.0% ----------------------------------------------------------------------- get-final-combination [14] 100.0% [18] 218(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [49] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [19] 1528(7.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [23] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [20] 850(4.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [24] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [21] 836(3.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [22] 422(2.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ----------------------------------------------------------------------- for-loop [19] 100.0% [23] 1528(7.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [28] 100.0% ----------------------------------------------------------------------- gen-series! [20] 100.0% [24] 850(4.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ----------------------------------------------------------------------- simplify! [21] 100.0% [25] 836(3.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ----------------------------------------------------------------------- finalize-iter! [22] 100.0% [26] 422(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 atab-add-altns [29] 52.6% for-loop [30] 47.4% ----------------------------------------------------------------------- for-loop [25] 1.3% run [7] 48.4% [27] 21300(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.4% loop [31] 38.1% run-improve58 [2] 12.2% simplify [55] 1.3% ----------------------------------------------------------------------- for-loop [24] 35.7% append-map [23] 64.3% [28] 2378(11.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [29] 222(1.0%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [33] 100.0% ----------------------------------------------------------------------- ??? [26] 100.0% [30] 200(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [27] 97.5% [31] 16222(76.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [34] 43.7% make-exacts* [37] 37.8% loop [38] 18.5% ----------------------------------------------------------------------- taylor-alt [28] 100.0% [32] 2378(11.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [35] 100.0% ----------------------------------------------------------------------- for-loop [30] 47.4% atab-add-altns [29] 52.6% [33] 422(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [36] 100.0% ----------------------------------------------------------------------- loop [31] 100.0% [34] 7088(33.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [38] 57.8% make-exacts* [37] 39.3% eval-prog [44] 2.8% ----------------------------------------------------------------------- location-do [35] 14.0% for-loop [32] 86.0% [35] 2378(11.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [40] 77.6% location-do [35] 14.0% simplify [39] 8.4% ----------------------------------------------------------------------- atab-add-altn [33] 100.0% [36] 422(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [41] 52.6% for-loop [42] 47.4% ----------------------------------------------------------------------- loop [34] 31.3% loop [31] 68.7% [37] 8914(41.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [49] 51.6% map [46] 43.4% eval-prog [44] 4.9% ----------------------------------------------------------------------- loop [31] 42.3% loop [34] 57.7% [38] 7108(33.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [46] 100.0% ----------------------------------------------------------------------- location-do [35] 8.4% hash-ref! [47] 91.6% [39] 2378(11.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [54] 64.3% f37 [45] 35.7% ----------------------------------------------------------------------- location-do [35] 100.0% [40] 2178(10.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [43] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [36] 100.0% [41] 222(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [44] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [36] 100.0% [42] 200(0.9%) 200(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- approximate9 [40] 100.0% [43] 2178(10.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [47] 100.0% ----------------------------------------------------------------------- loop [34] 23.2% errors [41] 25.8% make-exacts* [37] 51.0% [44] 862(4.0%) 454(2.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [47] 24.1% inductor [48] 23.2% ----------------------------------------------------------------------- simplify [39] 100.0% [45] 850(4.0%) 206(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [46] 75.8% ----------------------------------------------------------------------- parse-loop50 [54] 3.5% f37 [45] 5.3% make-exacts* [37] 32.1% loop [38] 59.0% [46] 12044(56.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [49] 93.0% parse-loop50 [54] 3.7% make-multiplication-node [52] 1.7% ??? [53] 1.6% ----------------------------------------------------------------------- for-loop [13] 6.2% eval-prog [44] 8.7% for-loop [12] 10.9% for-loop [17] 17.1% ??? [50] 28.6% loop [43] 28.6% [47] 2386(11.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [50] 28.6% simplify [39] 28.6% ??? [3] 17.1% ??? [4] 10.9% bigfloat-hash [51] 8.7% ??? [6] 6.2% ----------------------------------------------------------------------- eval-prog [44] 33.3% inductor [48] 66.7% [48] 200(0.9%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [48] 66.7% ??? [77] 33.3% ----------------------------------------------------------------------- make-exacts* [37] 0.3% map-enodes [76] 0.5% extract-alt [18] 1.2% post-process [15] 2.3% map [46] 4.1% parse-loop50 [54] 4.3% loop [49] 87.3% [49] 18336(86.1%) 686(3.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [49] 87.3% parse-loop50 [54] 6.6% ??? [53] 2.0% localize-error [57] 1.2% simplify [55] 1.2% completely-simplify-alt [5] 1.1% ->flonum [56] 0.0% ----------------------------------------------------------------------- hash-ref! [47] 100.0% [50] 2178(10.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [47] 100.0% ----------------------------------------------------------------------- hash-ref! [47] 100.0% [51] 208(1.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [58] 100.0% ----------------------------------------------------------------------- map [46] 100.0% [52] 200(0.9%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [59]100.0% ----------------------------------------------------------------------- map [46] 1.4% loop [49] 98.6% [53] 14204(66.7%) 1184(5.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [60] 58.7% real->bigfloat [61] 25.4% ??? [77] 7.5% ----------------------------------------------------------------------- map [46] 9.4% loop [49] 22.9% simplify [39] 31.3% parse-loop50 [54] 36.4% [54] 1972(9.3%) 1972(9.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [54] 36.4% loop [49] 17.5% map [46] 5.3% ----------------------------------------------------------------------- loop [49] 20.7% ??? [27] 79.3% [55] 1054(4.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 80.8% for-loop [64] 19.2% ----------------------------------------------------------------------- loop [49] 100.0% [56] 692(3.2%) 452(2.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [62] 34.7% ----------------------------------------------------------------------- loop [49] 100.0% [57] 222(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [63] 100.0% ----------------------------------------------------------------------- bigfloat-hash [51] 100.0% [58] 208(1.0%) 208(1.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- make-multiplication-node [52] 100.0% [59] 200(0.9%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [65] 100.0% ----------------------------------------------------------------------- ??? [53] 100.0% [60] 8338(39.1%) 626(2.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [66] 67.6% bf<= [68] 13.7% ...higher-order.rkt:369:33 [69] 8.3% ...higher-order.rkt:373:33 [70] 2.8% ----------------------------------------------------------------------- ??? [53] 100.0% [61] 3614(17.0%) 2912(13.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [78] 19.4% ----------------------------------------------------------------------- ->flonum [56] 100.0% [62] 240(1.1%) 240(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- localize-error [57] 100.0% [63] 222(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 loop [71] 100.0% ----------------------------------------------------------------------- simplify [55] 100.0% [64] 202(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [67] 100.0% ----------------------------------------------------------------------- make-multiplication-subnode [59]100.0% [65] 200(0.9%) 200(0.9%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- ??? [60] 100.0% [66] 5636(26.5%) 1868(8.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [72] 49.4% ??? [81] 12.9% bfsqr [75] 4.6% ----------------------------------------------------------------------- for-loop [64] 9.8% simplify-expr [10] 90.2% [67] 2056(9.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [73] 90.3% map-enodes [76] 9.7% ----------------------------------------------------------------------- ??? [60] 100.0% [68] 1144(5.4%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [81] 100.0% ----------------------------------------------------------------------- ??? [60] 100.0% [69] 696(3.3%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [74] 67.5% ??? [77] 32.5% ----------------------------------------------------------------------- ??? [60] 100.0% [70] 236(1.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [74] 100.0% ----------------------------------------------------------------------- for-loop [63] 100.0% [71] 222(1.0%) 222(1.0%) loop ...ket/collects/racket/private/map.rkt:113:23 ----------------------------------------------------------------------- ??? [66] 100.0% [72] 2782(13.1%) 2332(10.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [78] 16.2% ----------------------------------------------------------------------- iterate-egraph!5 [67] 100.0% [73] 1856(8.7%) 200(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [79] 44.9% for-loop [80] 44.3% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [70] 33.4% ...higher-order.rkt:369:33 [69] 66.6% [74] 706(3.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [77] 100.0% ----------------------------------------------------------------------- ??? [66] 100.0% [75] 260(1.2%) 260(1.2%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- iterate-egraph!5 [67] 100.0% [76] 200(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [49] 100.0% ----------------------------------------------------------------------- inductor [48] 9.1% ...higher-order.rkt:369:33 [69] 10.3% ??? [74] 32.1% ??? [53] 48.5% [77] 2200(10.3%) 216(1.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [81] 90.2% ----------------------------------------------------------------------- bfadd [72] 39.1% real->bigfloat [61] 60.9% [78] 1152(5.4%) 1152(5.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- one-iter [73] 100.0% [79] 834(3.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [82] 100.0% ----------------------------------------------------------------------- for-loop [80] 50.0% one-iter [73] 50.0% [80] 822(3.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [80] 50.0% match-e [84] 50.0% ----------------------------------------------------------------------- ??? [66] 18.8% bf<= [68] 29.7% ??? [77] 51.5% [81] 3854(18.1%) 2044(9.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [83] 47.0% ----------------------------------------------------------------------- loop [79] 100.0% [82] 834(3.9%) 420(2.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [85] 25.7% match-e [84] 24.0% ----------------------------------------------------------------------- ??? [81] 100.0% [83] 1810(8.5%) 962(4.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [86] 46.9% ----------------------------------------------------------------------- apply-match [82] 19.6% for-loop [80] 80.4% [84] 1022(4.8%) 602(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [87] 21.5% custom-in-set [89] 19.6% ----------------------------------------------------------------------- apply-match [82] 100.0% [85] 214(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [88] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [86] 848(4.0%) 848(4.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- match-e [84] 100.0% [87] 220(1.0%) 220(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ----------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [88] 214(1.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [90] 100.0% ----------------------------------------------------------------------- match-e [84] 100.0% [89] 200(0.9%) 200(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- update-leader! [88] 100.0% [90] 214(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [91] 100.0% ----------------------------------------------------------------------- for-loop [90] 100.0% [91] 214(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [92] 100.0% ----------------------------------------------------------------------- for-loop [91] 100.0% [92] 214(1.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [93] 100.0% ----------------------------------------------------------------------- hash-update! [92] 100.0% [93] 214(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [94] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [94] 214(1.0%) 214(1.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -----------------------------------------------------------------------