Profiling results ----------------- Total cpu time observed: 20902ms (out of 21300ms) Number of samples taken: 82 (once every 255ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [32] 100.0% [1] 19834(94.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [2] 5426(26.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 61.4% finalize-table! [11] 31.1% get-final-combination [15] 7.4% ----------------------------------------------------------------------- loop [62] 13.0% ??? [32] 87.0% [3] 3090(14.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 47.4% for-loop [12] 38.9% iterate-egraph!5 [16] 13.7% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [4] 2148(10.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [62] 100.0% ----------------------------------------------------------------------- post-process [18] 19.3% loop [62] 80.7% [5] 1046(5.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [6] 644(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [7] 422(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 19834(94.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 3334(16.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [5] 41.7% simplify [3] 58.3% [10] 2510(12.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 1690(8.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 1202(5.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 644(3.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [67] 65.5% simplify [74] 34.5% ----------------------------------------------------------------------- ??? [7] 100.0% [14] 422(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [67] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 402(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ----------------------------------------------------------------------- simplify [3] 10.3% for-loop [12] 29.1% simplify-expr [10] 60.7% [16] 4136(19.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 95.1% map-enodes [25] 4.9% ----------------------------------------------------------------------- for-loop [9] 100.0% [17] 3334(16.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 80.6% finalize-iter! [23] 13.3% gen-series! [24] 6.1% ----------------------------------------------------------------------- finalize-table! [11] 100.0% [18] 1690(8.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [62] 49.9% for-loop [22] 38.1% completely-simplify-alt [5] 12.0% ----------------------------------------------------------------------- get-final-combination [15] 100.0% [19] 402(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 3934(18.8%) 442(2.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 57.1% loop [28] 31.6% ----------------------------------------------------------------------- run-iter! [17] 100.0% [21] 2688(12.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [22] 644(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [29] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 442(2.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [24] 204(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [25] 202(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [62] 100.0% ----------------------------------------------------------------------- simplify! [21] 100.0% [26] 2688(12.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ----------------------------------------------------------------------- for-loop [27] 50.0% one-iter [20] 50.0% [27] 2248(10.8%) 846(4.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [37] 31.2% ----------------------------------------------------------------------- one-iter [20] 100.0% [28] 1244(6.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [29] 644(3.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [34] 100.0% ----------------------------------------------------------------------- finalize-iter! [23] 100.0% [30] 442(2.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 100.0% ----------------------------------------------------------------------- gen-series! [24] 100.0% [31] 204(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% ----------------------------------------------------------------------- for-loop [26] 4.8% run [8] 45.8% [32] 20902(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.8% loop [36] 38.1% run-improve58 [2] 11.3% simplify [3] 4.8% ----------------------------------------------------------------------- loop [28] 100.0% [33] 1244(6.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [40] 33.8% update-leader! [44] 32.0% for-loop [41] 18.0% match-e [37] 16.2% ----------------------------------------------------------------------- for-loop [31] 24.1% append-map [29] 75.9% [34] 848(4.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [35] 442(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [36] 15476(74.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 46.9% make-exacts* [47] 42.2% loop [48] 10.9% ----------------------------------------------------------------------- for-loop [52] 6.3% apply-match [33] 6.3% for-loop [27] 87.4% [37] 1604(7.7%) 804(3.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 49.9% ----------------------------------------------------------------------- taylor-alt [34] 100.0% [38] 848(4.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ----------------------------------------------------------------------- for-loop [35] 100.0% [39] 442(2.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [40] 420(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [41] 224(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [69] 100.0% ----------------------------------------------------------------------- loop [36] 100.0% [42] 7260(34.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 49.5% make-exacts* [47] 39.0% eval-prog [56] 11.5% ----------------------------------------------------------------------- location-do [43] 32.7% for-loop [38] 67.3% [43] 848(4.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [49] 67.3% location-do [43] 32.7% ----------------------------------------------------------------------- apply-match [33] 48.7% merge-egraph-nodes! [40] 51.3% [44] 818(3.9%) 202(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [50] 75.3% ----------------------------------------------------------------------- match-e [37] 100.0% [45] 800(3.8%) 198(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [52] 37.6% list-cartesian-product [54] 25.0% loop [53] 12.6% ----------------------------------------------------------------------- atab-add-altn [39] 100.0% [46] 442(2.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% ----------------------------------------------------------------------- loop [42] 30.3% loop [36] 69.7% [47] 9360(44.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [55] 45.0% loop [62] 38.9% eval-prog [56] 16.1% ----------------------------------------------------------------------- loop [36] 32.0% loop [42] 68.0% [48] 5280(25.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [55] 100.0% ----------------------------------------------------------------------- location-do [43] 100.0% [49] 848(4.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [58] 52.4% f160 [82] 24.1% taylor-quotient [61] 23.6% ----------------------------------------------------------------------- update-leader! [44] 100.0% [50] 616(2.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [57] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [51] 442(2.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [56] 50.2% for-loop [59] 49.8% ----------------------------------------------------------------------- for-loop [45] 100.0% [52] 402(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 50.2% ??? [60] 49.8% ----------------------------------------------------------------------- for-loop [45] 100.0% [53] 202(1.0%) 202(1.0%) loop ...e/racket/collects/racket/function.rkt:53:6 ----------------------------------------------------------------------- list-cartesian-product [54] 50.0% for-loop [45] 50.0% [54] 200(1.0%) 200(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 50.0% ----------------------------------------------------------------------- make-exacts* [47] 44.4% loop [48] 55.6% [55] 9492(45.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 100.0% ----------------------------------------------------------------------- errors [51] 8.7% loop [42] 32.6% make-exacts* [47] 58.7% [56] 2562(12.3%) 414(2.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [67] 83.8% ----------------------------------------------------------------------- for-loop [50] 100.0% [57] 616(2.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% ----------------------------------------------------------------------- approximate9 [49] 100.0% [58] 444(2.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ----------------------------------------------------------------------- errors [51] 100.0% [59] 220(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [66] 100.0% ----------------------------------------------------------------------- for-loop [52] 100.0% [60] 200(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [64] 100.0% ----------------------------------------------------------------------- approximate9 [49] 100.0% [61] 200(1.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [65] 100.0% ----------------------------------------------------------------------- make-exacts* [47] 0.1% loop! [69] 0.4% map-enodes [25] 0.6% parse-loop50 [84] 0.6% post-process [18] 0.8% map [55] 1.6% extract-alt [19] 2.3% ??? [4] 12.5% loop [62] 81.0% [62] 17178(82.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 81.0% hash-ref! [67] 12.5% simplify [3] 2.3% ??? [66] 1.7% completely-simplify-alt [5] 0.8% f160 [82] 0.6% for-loop [70] 0.6% loop! [69] 0.4% ----------------------------------------------------------------------- for-loop [57] 100.0% [63] 616(2.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [68] 100.0% ----------------------------------------------------------------------- ??? [60] 100.0% [64] 200(1.0%) 200(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- taylor-quotient [61] 100.0% [65] 200(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [67] 100.0% ----------------------------------------------------------------------- for-loop [59] 1.6% loop [62] 98.4% [66] 13356(63.9%) 226(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 77.6% real->bigfloat [73] 15.6% ??? [96] 5.1% ----------------------------------------------------------------------- first-nonzero-exp [65] 1.8% for-loop [14] 3.8% ??? [76] 4.6% loop [58] 4.6% for-loop [13] 6.2% eval-prog [56] 19.2% loop [62] 57.8% [67] 2792(13.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 57.8% bigfloat-hash [72] 19.2% ??? [6] 8.2% ??? [76] 4.6% simplify [74] 4.4% ??? [7] 3.8% ----------------------------------------------------------------------- hash-update! [63] 100.0% [68] 616(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ----------------------------------------------------------------------- loop [62] 50.0% for-loop [41] 50.0% [69] 224(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [62] 50.0% set [77] 50.0% ----------------------------------------------------------------------- loop [62] 100.0% [70] 202(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [78] 100.0% ----------------------------------------------------------------------- ??? [66] 100.0% [71] 10358(49.6%) 272(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 50.6% bf* [79] 24.0% ...higher-order.rkt:373:33 [80] 20.6% _flexp [85] 2.1% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [72] 2148(10.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [81] 70.0% bfcanonicalize [83] 30.0% ----------------------------------------------------------------------- ??? [66] 100.0% [73] 2086(10.0%) 1852(8.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 11.2% ----------------------------------------------------------------------- taylor-invert [92] 24.1% for-loop [13] 26.2% hash-ref! [67] 49.8% [74] 848(4.1%) 204(1.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f160 [82] 26.2% parse-loop50 [84] 26.2% debug7 [88] 23.6% ----------------------------------------------------------------------- ??? [68] 100.0% [75] 616(2.9%) 416(2.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [87] 32.5% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [76] 444(2.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ----------------------------------------------------------------------- loop! [69] 100.0% [77] 224(1.1%) 224(1.1%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- for-loop [70] 100.0% [78] 202(1.0%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [86] 100.0% ----------------------------------------------------------------------- ??? [71] 100.0% [79] 2486(11.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ----------------------------------------------------------------------- ??? [71] 100.0% [80] 2136(10.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ----------------------------------------------------------------------- bigfloat-hash [72] 100.0% [81] 1504(7.2%) 660(3.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [91] 56.1% ----------------------------------------------------------------------- approximate9 [49] 31.5% loop [62] 34.3% simplify [74] 34.3% [82] 648(3.1%) 444(2.1%) f160 .../collects/racket/match/compiler.rkt:499:40 taylor-invert [92] 31.5% ----------------------------------------------------------------------- bigfloat-hash [72] 100.0% [83] 644(3.1%) 644(3.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- parse-loop50 [84] 50.0% simplify [74] 50.0% [84] 222(1.1%) 0(0.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [84] 50.0% loop [62] 50.0% ----------------------------------------------------------------------- ??? [71] 100.0% [85] 220(1.1%) 220(1.1%) _flexp ...atlock/herbie/src/syntax/syntax.rkt:30:4 ----------------------------------------------------------------------- eval-const-expr [78] 100.0% [86] 202(1.0%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [93] 100.0% ----------------------------------------------------------------------- for-loop [75] 100.0% [87] 200(1.0%) 200(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- simplify [74] 100.0% [88] 200(1.0%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [94] 100.0% ----------------------------------------------------------------------- bf* [79] 32.2% ??? [71] 67.8% [89] 7730(37.0%) 652(3.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [95] 68.3% ??? [99] 11.7% bfsqrt [97] 11.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [80]100.0% [90] 2136(10.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ----------------------------------------------------------------------- sig+exp->bigfloat [81] 100.0% [91] 844(4.0%) 844(4.0%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ----------------------------------------------------------------------- f160 [82] 100.0% [92] 204(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [74] 100.0% ----------------------------------------------------------------------- inductor [93] 50.0% expression-induct31 [86] 50.0% [93] 202(1.0%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [93] 50.0% integer->bigfloat [98] 50.0% ----------------------------------------------------------------------- debug7 [88] 100.0% [94] 200(1.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [95] 5282(25.3%) 3310(15.8%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 37.3% ----------------------------------------------------------------------- ??? [94] 6.6% ??? [66] 22.7% ??? [90] 70.7% [96] 3022(14.5%) 200(1.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 93.4% ----------------------------------------------------------------------- ??? [89] 100.0% [97] 890(4.3%) 890(4.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- inductor [93] 100.0% [98] 202(1.0%) 202(1.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ----------------------------------------------------------------------- ??? [89] 24.3% ??? [96] 75.7% [99] 3728(17.8%) 1894(9.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 49.2% ----------------------------------------------------------------------- real->bigfloat [73] 10.6% bfadd [95] 89.4% [100] 2206(10.6%) 2206(10.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [99] 100.0% [101] 1834(8.8%) 968(4.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 47.2% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 866(4.1%) 866(4.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------