Profiling results ----------------- Total cpu time observed: 41866ms (out of 42656ms) Number of samples taken: 158 (once every 265ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 94 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [49] 100.0% [1] 41462(99.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ---------------------------------------------------------------------- ??? [49] 100.0% [2] 8664(20.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [13] 61.4% loop [12] 25.9% finalize-table! [16] 10.2% get-final-combination [21] 2.5% ---------------------------------------------------------------------- loop [59] 5.1% ??? [49] 94.9% [3] 4274(10.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [14] 74.7% for-loop [18] 15.5% iterate-egraph!5 [26] 9.8% ---------------------------------------------------------------------- location-do [76] 100.0% [4] 1268(3.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [15] 82.6% taylor-sqrt [20] 17.4% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 844(2.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 76.1% ??? [22] 23.9% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [6] 842(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [7] 640(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ---------------------------------------------------------------------- loop [59] 100.0% [8] 240(0.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [14] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [9] 236(0.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [59] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [10] 202(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [23] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 41462(99.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [49] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 6.3% ??? [49] 93.7% [12] 35444(84.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [24] 54.7% make-exacts* [31] 31.5% loop [32] 13.8% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 5322(12.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [25] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [8] 7.0% simplify [3] 93.0% [14] 3432(8.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [26] 100.0% ---------------------------------------------------------------------- approximate9 [4] 100.0% [15] 1048(2.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 880(2.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [17] 842(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [71] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [18] 662(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [26] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [19] 640(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [71] 100.0% ---------------------------------------------------------------------- f94 [79] 48.1% approximate9 [4] 51.9% [20] 424(1.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [30] 51.9% simplify [27] 48.1% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [21] 220(0.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [29] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [22] 202(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [71] 100.0% ---------------------------------------------------------------------- ??? [10] 100.0% [23] 202(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [71] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [24] 19380(46.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [32] 56.6% make-exacts* [31] 37.7% eval-prog [64] 5.7% ---------------------------------------------------------------------- for-loop [13] 100.0% [25] 5322(12.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [34] 76.2% finalize-iter! [36] 12.0% gen-series! [37] 11.8% ---------------------------------------------------------------------- simplify [3] 9.3% for-loop [18] 14.7% simplify-expr [14] 76.0% [26] 4514(10.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [33] 95.6% map-enodes [39] 4.4% ---------------------------------------------------------------------- taylor-sqrt [20] 16.1% hash-ref! [71] 83.9% [27] 1268(3.0%) 222(0.5%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [51] 33.3% f94 [79] 33.1% debug-print [38] 16.1% ---------------------------------------------------------------------- finalize-table! [16] 100.0% [28] 880(2.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [35] 72.7% loop [59] 27.3% ---------------------------------------------------------------------- get-final-combination [21] 100.0% [29] 220(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [59] 100.0% ---------------------------------------------------------------------- taylor-sqrt [20] 100.0% [30] 220(0.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- loop [24] 39.5% loop [12] 60.5% [31] 18488(44.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [59] 54.3% map [40] 43.2% eval-prog [64] 2.6% ---------------------------------------------------------------------- loop [12] 30.8% loop [24] 69.2% [32] 15854(37.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [40] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [33] 4314(10.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [42] 74.9% loop [43] 25.1% ---------------------------------------------------------------------- run-iter! [25] 100.0% [34] 4054(9.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [41] 100.0% ---------------------------------------------------------------------- post-process [28] 100.0% [35] 640(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [44] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [36] 640(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [45] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [37] 628(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [46] 100.0% ---------------------------------------------------------------------- simplify [27] 100.0% [38] 204(0.5%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [47] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [39] 200(0.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 hash-keys [48] 100.0% ---------------------------------------------------------------------- f94 [79] 1.7% make-exacts* [31] 32.9% loop [32] 65.4% [40] 24256(57.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [59] 95.5% ??? [63] 2.8% parse-loop50 [51] 1.7% ---------------------------------------------------------------------- simplify! [34] 100.0% [41] 4054(9.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [49] 100.0% ---------------------------------------------------------------------- for-loop [42] 50.0% one-iter [33] 50.0% [42] 3232(7.7%) 846(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [42] 50.0% match-e [53] 36.9% ---------------------------------------------------------------------- one-iter [33] 100.0% [43] 1082(2.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [50] 100.0% ---------------------------------------------------------------------- for-loop [35] 100.0% [44] 640(1.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [66] 68.8% loop [59] 31.2% ---------------------------------------------------------------------- finalize-iter! [36] 100.0% [45] 640(1.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [52] 100.0% ---------------------------------------------------------------------- gen-series! [37] 100.0% [46] 628(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [66] 100.0% ---------------------------------------------------------------------- debug-print [38] 100.0% [47] 204(0.5%) 204(0.5%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- map-enodes [39] 100.0% [48] 200(0.5%) 200(0.5%) hash-keys .../collects/racket/private/hash.rkt:2:2 ---------------------------------------------------------------------- for-loop [41] 3.3% run [11] 48.0% [49] 41866(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.0% loop [12] 39.7% run-improve58 [2] 9.1% simplify [3] 3.3% ---------------------------------------------------------------------- loop [43] 100.0% [50] 1082(2.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [55] 42.5% match-e [53] 38.8% mk-enode! [58] 18.7% ---------------------------------------------------------------------- map [40] 49.9% simplify [27] 50.1% [51] 842(2.0%) 422(1.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 f94 [79] 49.9% ---------------------------------------------------------------------- ??? [45] 100.0% [52] 640(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [54] 100.0% ---------------------------------------------------------------------- apply-match [50] 10.2% for-loop [60] 12.2% for-loop [42] 77.5% [53] 2806(6.7%) 1522(3.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [56] 40.9% for-loop [60] 13.5% ---------------------------------------------------------------------- for-loop [52] 100.0% [54] 640(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [57] 100.0% ---------------------------------------------------------------------- substitute-e [55] 34.8% apply-match [50] 65.2% [55] 460(1.1%) 240(0.6%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [58] 47.8% substitute-e [55] 34.8% ---------------------------------------------------------------------- match-e [53] 100.0% [56] 1282(3.1%) 240(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [59] 57.9% for-loop [60] 23.4% ---------------------------------------------------------------------- atab-add-altn [54] 100.0% [57] 640(1.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 68.8% for-loop [62] 31.2% ---------------------------------------------------------------------- apply-match [50] 47.9% substitute-e [55] 52.1% [58] 422(1.0%) 422(1.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- post-process [28] 0.1% append-map [44] 0.6% extract-alt [29] 0.6% ??? [9] 0.7% make-exacts* [31] 1.0% for-loop [56] 2.0% map [40] 4.9% loop [59] 90.1% [59] 34932(83.4%) 1462(3.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [59] 90.1% ??? [63] 5.8% hash-ref! [71] 0.7% simplify [3] 0.6% taylor-alt [66] 0.6% completely-simplify-alt [8] 0.1% ->flonum [65] 0.1% ---------------------------------------------------------------------- for-loop [56] 36.5% match-e [53] 63.5% [60] 822(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [53] 75.4% ??? [67] 24.6% ---------------------------------------------------------------------- best-and-tied-at-points [57] 100.0% [61] 440(1.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [64] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [57] 100.0% [62] 200(0.5%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [68] 100.0% ---------------------------------------------------------------------- map [40] 2.1% loop [59] 97.9% [63] 31740(75.8%) 1674(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [69] 67.8% real->bigfloat [70] 23.6% ??? [85] 2.1% ---------------------------------------------------------------------- errors [61] 21.8% make-exacts* [31] 23.5% loop [24] 54.7% [64] 2016(4.8%) 884(2.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 56.2% ---------------------------------------------------------------------- loop [59] 100.0% [65] 1286(3.1%) 202(0.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [73] 62.8% ??? [87] 21.5% ---------------------------------------------------------------------- loop [59] 15.8% append-map [44] 34.7% for-loop [46] 49.5% [66] 1268(3.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [72] 100.0% ---------------------------------------------------------------------- for-loop [60] 100.0% [67] 202(0.5%) 202(0.5%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- for-loop [62] 100.0% [68] 200(0.5%) 200(0.5%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- ??? [63] 100.0% [69] 21508(51.4%) 714(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [80] 53.9% bf* [74] 26.9% ...higher-order.rkt:373:33 [75] 15.8% ---------------------------------------------------------------------- ??? [63] 100.0% [70] 7496(17.9%) 5698(13.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [88] 24.0% ---------------------------------------------------------------------- for-loop [23] 2.1% ??? [22] 2.1% first-nonzero-exp [30] 3.1% for-loop [19] 7.0% ??? [5] 7.0% loop [59] 7.4% ??? [78] 9.0% for-loop [17] 9.1% loop [15] 13.4% eval-prog [64] 39.8% [71] 2400(5.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [77] 39.8% simplify [27] 12.2% ??? [5] 9.1% ??? [6] 9.1% ??? [78] 9.0% ??? [9] 7.4% ??? [7] 7.0% f94 [79] 4.2% ??? [10] 2.1% ---------------------------------------------------------------------- taylor-alt [66] 100.0% [72] 1268(3.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [76] 100.0% ---------------------------------------------------------------------- ->flonum [65] 100.0% [73] 808(1.9%) 808(1.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [69] 100.0% [74] 5796(13.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [80] 100.0% ---------------------------------------------------------------------- ??? [69] 100.0% [75] 3404(8.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [81] 85.5% ??? [85] 14.5% ---------------------------------------------------------------------- for-loop [72] 31.0% location-do [76] 69.0% [76] 1268(3.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [76] 69.0% approximate9 [4] 31.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 1132(2.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [82] 79.7% sig+exp->bigfloat [83] 20.3% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [78] 626(1.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- f94 [79] 16.3% hash-ref! [71] 16.3% parse-loop50 [51] 33.7% simplify [27] 33.7% [79] 624(1.5%) 420(1.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [40] 33.7% f94 [79] 16.3% taylor-sqrt [20] 16.3% ---------------------------------------------------------------------- bf* [74] 33.3% ??? [69] 66.7% [80] 17390(41.5%) 1352(3.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [84] 55.5% bfsqrt [86] 20.6% ??? [87] 16.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [75]100.0% [81] 2912(7.0%) 256(0.6%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [85] 91.2% ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [82] 902(2.2%) 902(2.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [83] 230(0.5%) 230(0.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [80] 100.0% [84] 9648(23.0%) 7260(17.3%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [88] 24.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [75] 12.9% ??? [63] 17.7% ??? [81] 69.5% [85] 3824(9.1%) 256(0.6%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [87] 93.3% ---------------------------------------------------------------------- ??? [80] 100.0% [86] 3590(8.6%) 2380(5.7%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [88] 33.7% ---------------------------------------------------------------------- ->flonum [65] 4.2% ??? [80] 42.1% ??? [85] 53.7% [87] 6644(15.9%) 3490(8.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 40.1% ??? [90] 7.4% ---------------------------------------------------------------------- bfsqrt [86] 22.4% real->bigfloat [70] 33.3% bfadd [84] 44.3% [88] 5396(12.9%) 5396(12.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [87] 100.0% [89] 2664(6.4%) 1896(4.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [91] 28.8% ---------------------------------------------------------------------- ??? [87] 100.0% [90] 490(1.2%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [91] 768(1.8%) 768(1.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- ??? [90] 100.0% [92] 490(1.2%) 490(1.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ----------------------------------------------------------------------