Profiling results ----------------- Total cpu time observed: 16318ms (out of 16696ms) Number of samples taken: 69 (once every 236ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [34] 100.0% [1] 16118(98.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [34] 100.0% [2] 5494(33.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 67.1% finalize-table! [12] 32.9% ----------------------------------------------------------------------- ??? [34] 100.0% [3] 2668(16.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 61.0% iterate-egraph!5 [17] 39.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [4] 798(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- loop [79] 100.0% [5] 604(3.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [6] 396(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [7] 202(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ----------------------------------------------------------------------- f143 [73] 100.0% [8] 200(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [66] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 16118(98.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 3686(22.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [5] 27.1% simplify [3] 72.9% [11] 2232(13.7%) 202(1.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 90.9% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 1808(11.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [13] 798(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [64] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [14] 396(2.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [64] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [15] 202(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [16] 3686(22.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 72.4% finalize-iter! [23] 16.3% choose-best-alt! [24] 6.0% gen-series! [26] 5.3% ----------------------------------------------------------------------- simplify [3] 33.9% simplify-expr [11] 66.1% [17] 3070(18.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% ----------------------------------------------------------------------- finalize-table! [12] 100.0% [18] 1808(11.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [22] 44.4% loop [79] 33.4% localize-error [25] 11.2% ??? [29] 11.1% ----------------------------------------------------------------------- for-loop [15] 100.0% [19] 202(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [64] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [20] 3070(18.8%) 200(1.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 86.9% loop [32] 6.6% ----------------------------------------------------------------------- run-iter! [16] 100.0% [21] 2668(16.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [22] 802(4.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [30] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [23] 600(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [24] 222(1.4%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [29] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [25] 202(1.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [31] 100.0% ----------------------------------------------------------------------- run-iter! [16] 100.0% [26] 196(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ----------------------------------------------------------------------- simplify! [21] 100.0% [27] 2668(16.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ----------------------------------------------------------------------- for-loop [28] 50.0% one-iter [20] 50.0% [28] 2668(16.4%) 600(3.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [41] 38.8% ----------------------------------------------------------------------- post-process [18] 19.6% choose-best-alt! [24] 21.7% finalize-iter! [23] 58.7% [29] 1022(6.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 58.7% atab-pick-alt8 [37] 21.7% atab-add-altns [39] 19.6% ----------------------------------------------------------------------- for-loop [22] 100.0% [30] 802(4.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 75.1% loop [79] 24.9% ----------------------------------------------------------------------- localize-error [25] 100.0% [31] 202(1.2%) 202(1.2%) for-loop ...ock/herbie/src/core/localize.rkt:49:34 ----------------------------------------------------------------------- one-iter [20] 100.0% [32] 202(1.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ----------------------------------------------------------------------- gen-series! [26] 100.0% [33] 196(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- for-loop [27] 5.5% run [9] 46.7% [34] 16318(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.7% loop [40] 33.2% run-improve58 [2] 14.7% simplify [3] 5.5% ----------------------------------------------------------------------- for-loop [33] 19.6% loop [79] 20.0% append-map [30] 60.3% [35] 998(6.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [36] 600(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [37] 222(1.4%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [44] 100.0% ----------------------------------------------------------------------- loop [32] 100.0% [38] 202(1.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [41] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [39] 200(1.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- ??? [34] 100.0% [40] 10824(66.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 60.2% loop [45] 38.0% for-loop [50] 1.9% ----------------------------------------------------------------------- apply-match [38] 4.4% for-loop [54] 14.2% for-loop [28] 81.4% [41] 2270(13.9%) 1666(10.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 27.0% for-loop [54] 9.3% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [42] 998(6.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ----------------------------------------------------------------------- atab-add-altns [39] 25.0% for-loop [36] 75.0% [43] 800(4.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [37] 100.0% [44] 222(1.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [49] 100.0% ----------------------------------------------------------------------- loop [40] 100.0% [45] 4108(25.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 68.2% make-exacts* [51] 31.8% ----------------------------------------------------------------------- location-do [46] 33.5% for-loop [42] 66.5% [46] 998(6.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 66.5% location-do [46] 33.5% ----------------------------------------------------------------------- match-e [41] 100.0% [47] 826(5.1%) 202(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 51.1% list-cartesian-product [56] 24.5% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [48] 800(4.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [63] 75.0% for-loop [58] 25.0% ----------------------------------------------------------------------- ??? [44] 100.0% [49] 222(1.4%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [55] 100.0% ----------------------------------------------------------------------- loop [40] 100.0% [50] 202(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [57] 100.0% ----------------------------------------------------------------------- loop [45] 16.7% loop [40] 83.3% [51] 7820(47.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [79] 61.7% map [76] 38.3% ----------------------------------------------------------------------- loop [45] 100.0% [52] 2802(17.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [76] 100.0% ----------------------------------------------------------------------- location-do [46] 100.0% [53] 998(6.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [59] 80.0% f143 [73] 20.0% ----------------------------------------------------------------------- match-e [41] 50.0% for-loop [47] 50.0% [54] 844(5.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 76.3% ??? [62] 23.7% ----------------------------------------------------------------------- best-alt [49] 100.0% [55] 222(1.4%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [60] 100.0% ----------------------------------------------------------------------- list-cartesian-product [56] 50.0% for-loop [47] 50.0% [56] 202(1.2%) 202(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [56] 50.0% ----------------------------------------------------------------------- for-loop [50] 100.0% [57] 202(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [61] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [48] 100.0% [58] 200(1.2%) 200(1.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- approximate9 [53] 100.0% [59] 798(4.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [64] 100.0% ----------------------------------------------------------------------- argmins [55] 100.0% [60] 222(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [63] 100.0% ----------------------------------------------------------------------- for-loop [57] 100.0% [61] 202(1.2%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [65] 100.0% ----------------------------------------------------------------------- for-loop [54] 100.0% [62] 200(1.2%) 200(1.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- composed [60] 27.0% best-and-tied-at-points [48] 73.0% [63] 822(5.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 75.7% eval-prog [70] 24.3% ----------------------------------------------------------------------- ??? [71] 4.2% for-loop [19] 5.1% for-loop [14] 8.3% ??? [69] 13.3% ??? [67] 21.7% loop [59] 21.7% for-loop [13] 25.8% [64] 798(4.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 25.8% ??? [67] 21.7% simplify [66] 17.6% ??? [69] 13.3% ??? [6] 8.3% ??? [7] 5.1% ??? [71] 4.2% ??? [72] 4.1% ----------------------------------------------------------------------- sample-default [61] 100.0% [65] 202(1.2%) 202(1.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- taylor-sqrt [8] 24.9% hash-ref! [64] 75.1% [66] 802(4.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [73] 49.9% parse-loop50 [80] 25.2% debug-print [74] 24.9% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [67] 798(4.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [64] 100.0% ----------------------------------------------------------------------- errors [63] 100.0% [68] 622(3.8%) 400(2.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 35.7% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [69] 598(3.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [64] 100.0% ----------------------------------------------------------------------- errors [63] 100.0% [70] 200(1.2%) 200(1.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- hash-ref! [64] 100.0% [71] 200(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [64] 100.0% ----------------------------------------------------------------------- hash-ref! [64] 100.0% [72] 196(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:425:23 partition-list [75] 100.0% ----------------------------------------------------------------------- f143 [73] 16.7% approximate9 [53] 16.7% simplify [66] 66.7% [73] 600(3.7%) 0(0.0%) f143 .../collects/racket/match/compiler.rkt:499:40 map [76] 33.3% gather-multiplicative-terms [77] 33.3% f143 [73] 16.7% taylor-sqrt [8] 16.7% ----------------------------------------------------------------------- simplify [66] 100.0% [74] 200(1.2%) 200(1.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- ??? [72] 100.0% [75] 196(1.2%) 0(0.0%) partition-list ...herbie/src/core/taylor.rkt:376:0 rle [78] 100.0% ----------------------------------------------------------------------- f143 [73] 3.3% loop [52] 46.7% make-exacts* [51] 49.9% [76] 5996(36.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [79] 86.4% ??? [82] 10.3% parse-loop50 [80] 3.3% ----------------------------------------------------------------------- f143 [73] 100.0% [77] 200(1.2%) 200(1.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- partition-list [75] 100.0% [78] 196(1.2%) 0(0.0%) rle ...e/ztatlock/herbie/src/core/taylor.rkt:372:0 group-by68 [81] 100.0% ----------------------------------------------------------------------- make-exacts* [51] 0.4% post-process [18] 0.7% append-map [30] 1.9% map [76] 2.0% loop [79] 95.0% [79] 10808(66.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [79] 95.0% ??? [82] 2.4% taylor-alt [35] 1.9% completely-simplify-alt [5] 0.7% ->flonum [83] 0.0% ----------------------------------------------------------------------- map [76] 49.8% simplify [66] 50.2% [80] 402(2.5%) 402(2.5%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ----------------------------------------------------------------------- rle [78] 100.0% [81] 196(1.2%) 196(1.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- for-loop [68] 2.1% map [76] 5.8% loop [79] 92.1% [82] 10624(65.1%) 682(4.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 64.1% real->bigfloat [85] 23.0% ??? [92] 6.5% ----------------------------------------------------------------------- loop [79] 100.0% [83] 220(1.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [82] 100.0% [84] 6808(41.7%) 222(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [87] 40.6% ??? [89] 40.0% bfcube [86] 13.2% ...ow-val-first.rkt:357:18 [88] 2.9% ----------------------------------------------------------------------- ??? [82] 100.0% [85] 2446(15.0%) 2234(13.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 8.7% ----------------------------------------------------------------------- ??? [84] 100.0% [86] 896(5.5%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [87] 50.2% ...ow-val-first.rkt:357:18 [88] 49.8% ----------------------------------------------------------------------- bfcube [86] 14.0% ??? [84] 86.0% [87] 3214(19.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ----------------------------------------------------------------------- ??? [84] 31.0% bfcube [86] 69.0% [88] 646(4.0%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [90] 100.0% ----------------------------------------------------------------------- ??? [84] 45.9% bf* [87] 54.1% [89] 5940(36.4%) 1354(8.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [91] 50.5% bfcbrt [93] 18.8% ??? [95] 7.9% ----------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [88] 100.0% [90] 646(4.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [91] 3000(18.4%) 1128(6.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 62.4% ----------------------------------------------------------------------- ??? [90] 48.4% ??? [82] 51.6% [92] 1334(8.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [93] 1116(6.8%) 866(5.3%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 22.4% ----------------------------------------------------------------------- real->bigfloat [85] 9.1% bfcbrt [93] 10.7% bfmul [91] 80.2% [94] 2334(14.3%) 2334(14.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ->flonum [83] 10.9% ??? [89] 23.2% ??? [92] 65.9% [95] 2024(12.4%) 442(2.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 78.2% ----------------------------------------------------------------------- ??? [95] 100.0% [96] 1582(9.7%) 1142(7.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 27.8% ----------------------------------------------------------------------- ??? [96] 100.0% [97] 440(2.7%) 440(2.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------