Profiling results ----------------- Total cpu time observed: 26356ms (out of 26680ms) Number of samples taken: 111 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 102 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [36] 100.0% [1] 25758(97.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [36] 100.0% [2] 11470(43.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 77.5% finalize-table! [10] 13.3% setup-prog [11] 3.8% get-final-combination [12] 3.5% loop [42] 1.8% ----------------------------------------------------------------------- location-do [51] 100.0% [3] 680(2.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [15] 35.6% taylor-quotient [16] 32.6% f94 [26] 31.8% ----------------------------------------------------------------------- loop [69] 100.0% [4] 644(2.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [30] 100.0% ----------------------------------------------------------------------- hash-ref! [34] 100.0% [5] 242(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [34] 100.0% [6] 242(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- loop [69] 100.0% [7] 220(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [34] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.3% [8] 25952(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 8894(33.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1528(5.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 432(1.6%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [20] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 404(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 242(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [34] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 242(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [19] 100.0% ----------------------------------------------------------------------- approximate9 [3] 100.0% [15] 242(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [34] 100.0% ----------------------------------------------------------------------- approximate9 [3] 100.0% [16] 222(0.8%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [19] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [17] 8894(33.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 90.8% finalize-iter! [24] 6.8% gen-series! [28] 2.4% ----------------------------------------------------------------------- finalize-table! [10] 100.0% [18] 1528(5.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [69] 42.1% for-loop [25] 30.4% localize-error [27] 14.4% ??? [32] 13.1% ----------------------------------------------------------------------- taylor-quotient [16] 47.8% for-loop [14] 52.2% [19] 464(1.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [26] 52.2% parse-loop12 [40] 47.8% ----------------------------------------------------------------------- setup-prog [11] 100.0% [20] 432(1.6%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [22] 100.0% ----------------------------------------------------------------------- get-final-combination [12] 100.0% [21] 404(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% ----------------------------------------------------------------------- loop [69] 4.5% simplify-alt [20] 4.8% ??? [36] 90.6% [22] 8910(33.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [30] 47.5% iterate-egraph!5 [37] 30.3% for-loop [31] 22.1% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 8074(30.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [24] 604(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [25] 464(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% ----------------------------------------------------------------------- approximate9 [3] 47.2% simplify [19] 52.8% [26] 458(1.7%) 242(0.9%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [58] 47.2% ----------------------------------------------------------------------- post-process [18] 100.0% [27] 220(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [34] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [28] 216(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% ----------------------------------------------------------------------- simplify! [23] 100.0% [29] 8074(30.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 13.2% simplify [22] 86.8% [30] 4880(18.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [37] 100.0% ----------------------------------------------------------------------- simplify [22] 100.0% [31] 1970(7.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [37] 100.0% ----------------------------------------------------------------------- post-process [18] 24.9% finalize-iter! [24] 75.1% [32] 804(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 100.0% ----------------------------------------------------------------------- for-loop [25] 100.0% [33] 464(1.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [39] 100.0% ----------------------------------------------------------------------- localize-error [27] 15.9% for-loop [13] 17.5% ??? [41] 17.5% loop [15] 17.5% ??? [7] 31.7% [34] 462(1.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [40] 47.6% ??? [41] 17.5% ??? [6] 17.5% ??? [5] 17.5% ----------------------------------------------------------------------- gen-series! [28] 100.0% [35] 216(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [39] 100.0% ----------------------------------------------------------------------- for-loop [29] 10.3% run [8] 44.6% [36] 26356(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.9% loop [42] 28.6% run-improve58 [2] 17.2% simplify [22] 10.3% ----------------------------------------------------------------------- for-loop [31] 20.6% simplify [22] 28.3% simplify-expr [30] 51.1% [37] 9554(36.2%) 202(0.8%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [43] 95.7% map-enodes [46] 2.2% ----------------------------------------------------------------------- ??? [32] 100.0% [38] 804(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ----------------------------------------------------------------------- for-loop [35] 31.8% append-map [33] 68.2% [39] 680(2.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [45] 100.0% ----------------------------------------------------------------------- hash-ref! [34] 49.8% simplify [19] 50.2% [40] 442(1.7%) 222(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [69] 49.8% ----------------------------------------------------------------------- hash-ref! [34] 100.0% [41] 242(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [34] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [36] 98.6% [42] 15098(57.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [47] 43.1% make-exacts* [53] 42.5% loop [54] 11.5% map [58] 1.6% ----------------------------------------------------------------------- iterate-egraph!5 [37] 100.0% [43] 9142(34.7%) 462(1.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [48] 55.6% loop [49] 35.0% apply-match [55] 2.2% loop [52] 2.2% ----------------------------------------------------------------------- for-loop [38] 100.0% [44] 804(3.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 100.0% ----------------------------------------------------------------------- taylor-alt [39] 100.0% [45] 680(2.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [51] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [37] 100.0% [46] 210(0.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [69] 100.0% ----------------------------------------------------------------------- loop [42] 100.0% [47] 6510(24.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [54] 53.0% make-exacts* [53] 42.8% eval-prog [61] 4.3% ----------------------------------------------------------------------- for-loop [48] 50.0% one-iter [43] 50.0% [48] 5084(19.3%) 1068(4.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [48] 50.0% match-e [59] 39.5% ----------------------------------------------------------------------- one-iter [43] 100.0% [49] 3196(12.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [55] 100.0% ----------------------------------------------------------------------- atab-add-altn [44] 100.0% [50] 804(3.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 74.9% for-loop [57] 25.1% ----------------------------------------------------------------------- for-loop [45] 30.4% location-do [51] 69.6% [51] 680(2.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [51] 69.6% approximate9 [3] 30.4% ----------------------------------------------------------------------- one-iter [43] 100.0% [52] 200(0.8%) 200(0.8%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- loop [47] 30.2% loop [42] 69.8% [53] 9206(34.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [58] 65.1% loop [69] 34.9% ----------------------------------------------------------------------- loop [42] 33.5% loop [47] 66.5% [54] 5184(19.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ----------------------------------------------------------------------- one-iter [43] 5.9% loop [49] 94.1% [55] 3396(12.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [60] 43.8% match-e [59] 24.9% update-leader! [64] 19.0% loop! [76] 12.4% ----------------------------------------------------------------------- best-and-tied-at-points [50] 100.0% [56] 602(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 66.4% eval-prog [61] 33.6% ----------------------------------------------------------------------- best-and-tied-at-points [50] 100.0% [57] 202(0.8%) 202(0.8%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- f94 [26] 1.9% loop [42] 2.0% loop [54] 44.6% make-exacts* [53] 51.5% [58] 11630(44.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 94.3% loop [65] 2.0% taylor [68] 1.9% ??? [74] 1.8% ----------------------------------------------------------------------- apply-match [55] 11.0% for-loop [70] 19.4% for-loop [48] 69.6% [59] 4862(18.4%) 1930(7.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [63] 43.1% for-loop [70] 8.5% constant? [66] 4.6% list-cartesian-product [72] 4.6% loop [69] 4.3% ----------------------------------------------------------------------- apply-match [55] 100.0% [60] 1486(5.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [64] 85.1% for-loop [67] 14.9% ----------------------------------------------------------------------- errors [56] 42.1% loop [47] 57.9% [61] 480(1.8%) 480(1.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- errors [56] 100.0% [62] 400(1.5%) 200(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 50.0% ----------------------------------------------------------------------- match-e [59] 100.0% [63] 2528(9.6%) 1440(5.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [70] 38.2% loop [69] 8.8% list-cartesian-product [72] 8.0% ----------------------------------------------------------------------- apply-match [55] 33.8% merge-egraph-nodes! [60] 66.2% [64] 1908(7.2%) 220(0.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [71] 88.5% ----------------------------------------------------------------------- map [58] 0.1% loop [65] 99.9% [65] 236(0.9%) 236(0.9%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [65] 99.9% ----------------------------------------------------------------------- match-e [59] 100.0% [66] 222(0.8%) 222(0.8%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [67] 222(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [92] 100.0% ----------------------------------------------------------------------- map [58] 100.0% [68] 216(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [73] 100.0% ----------------------------------------------------------------------- make-exacts* [53] 0.1% parse-loop12 [40] 0.1% map-enodes [46] 0.2% post-process [18] 0.5% for-loop [63] 1.3% map [58] 2.0% extract-alt [21] 2.4% loop! [76] 2.5% match-e [59] 2.5% loop [69] 88.3% [69] 16724(63.5%) 202(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 88.3% curried [81] 2.6% loop! [76] 2.5% simplify [22] 2.4% ??? [74] 1.6% completely-simplify-alt [4] 0.5% for-loop [77] 0.2% ??? [7] 0.1% bffma [85] 0.0% ----------------------------------------------------------------------- match-e [59] 38.3% for-loop [63] 61.7% [70] 1888(7.2%) 202(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [59] 94.7% ----------------------------------------------------------------------- update-leader! [64] 100.0% [71] 1688(6.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [75] 100.0% ----------------------------------------------------------------------- for-loop [63] 23.8% match-e [59] 26.2% list-cartesian-product [72] 50.0% [72] 424(1.6%) 424(1.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [72] 50.0% ----------------------------------------------------------------------- taylor [68] 100.0% [73] 216(0.8%) 216(0.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- for-loop [62] 1.4% map [58] 1.4% loop [69] 97.2% [74] 14362(54.5%) 230(0.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 90.2% real->bigfloat [80] 5.0% ...e/case-arrow.rkt:150:50 [82] 3.2% ----------------------------------------------------------------------- for-loop [71] 100.0% [75] 1688(6.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [79] 100.0% ----------------------------------------------------------------------- loop [69] 50.0% apply-match [55] 50.0% [76] 420(1.6%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [69] 50.0% custom-set-union [83] 26.2% set [84] 23.8% ----------------------------------------------------------------------- loop [69] 100.0% [77] 210(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 curried [81] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [78] 12958(49.2%) 714(2.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 59.2% bffma [85] 20.8% ...higher-order.rkt:373:33 [87] 11.0% ...ow-val-first.rkt:357:18 [90] 3.5% ----------------------------------------------------------------------- for-loop [75] 100.0% [79] 1688(6.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [86] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [80] 718(2.7%) 482(1.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 32.9% ----------------------------------------------------------------------- for-loop [77] 32.2% loop [69] 67.8% [81] 652(2.5%) 652(2.5%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- ??? [74] 100.0% [82] 456(1.7%) 456(1.7%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- loop! [76] 100.0% [83] 220(0.8%) 220(0.8%) custom-set-union ...et/private/set-types.rkt:168:0 ----------------------------------------------------------------------- loop! [76] 100.0% [84] 200(0.8%) 200(0.8%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- loop [69] 7.6% ??? [78] 92.4% [85] 2912(11.0%) 220(0.8%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [88] 87.2% ...ow-val-first.rkt:357:18 [90] 5.3% ----------------------------------------------------------------------- hash-update! [79] 100.0% [86] 1688(6.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [89] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [87] 1430(5.4%) 1206(4.6%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 15.7% ----------------------------------------------------------------------- bffma [85] 100.0% [88] 2538(9.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ----------------------------------------------------------------------- ??? [86] 100.0% [89] 1688(6.4%) 842(3.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [92] 50.1% ----------------------------------------------------------------------- bffma [85] 25.5% ??? [78] 74.5% [90] 604(2.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [93] 100.0% ----------------------------------------------------------------------- bf* [88] 24.9% ??? [78] 75.1% [91] 10210(38.7%) 2622(9.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [94] 43.0% bfsqr [95] 20.7% ??? [98] 10.6% ----------------------------------------------------------------------- for-loop [67] 20.8% for-loop [89] 79.2% [92] 1068(4.1%) 1068(4.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 27.1% ...ow-val-first.rkt:357:18 [90] 72.9% [93] 828(3.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [91] 100.0% [94] 4394(16.7%) 2760(10.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 37.2% ----------------------------------------------------------------------- ??? [91] 100.0% [95] 2112(8.0%) 1648(6.3%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 22.0% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 828(3.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ----------------------------------------------------------------------- real->bigfloat [80] 10.1% bfsqr [95] 19.9% bfadd [94] 70.0% [97] 2334(8.9%) 2334(8.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 43.4% ??? [91] 56.6% [98] 1910(7.2%) 676(2.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 64.6% ----------------------------------------------------------------------- ??? [98] 100.0% [99] 1234(4.7%) 566(2.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 54.1% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 668(2.5%) 668(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------