Profiling results ----------------- Total cpu time observed: 18534ms (out of 18992ms) Number of samples taken: 78 (once every 238ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 99 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [22] 100.0% [1] 18298(98.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [22] 100.0% [2] 6820(36.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 61.8% finalize-table! [6] 26.5% loop [26] 8.7% get-final-combination [7] 2.9% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [3] 198(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [8] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 18298(98.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 4218(22.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 1808(9.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [10] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 200(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [8] 198(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [44] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [9] 4218(22.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 75.2% finalize-iter! [13] 15.3% choose-best-alt! [16] 4.8% gen-series! [17] 4.7% ---------------------------------------------------------------------- finalize-table! [6] 100.0% [10] 1808(9.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [55] 55.5% for-loop [14] 22.2% localize-error [15] 11.2% ??? [19] 11.1% ---------------------------------------------------------------------- get-final-combination [7] 100.0% [11] 200(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [12] 3174(17.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 644(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% ---------------------------------------------------------------------- post-process [10] 100.0% [14] 402(2.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [20] 100.0% ---------------------------------------------------------------------- post-process [10] 100.0% [15] 202(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [44] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [16] 202(1.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [19] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [17] 198(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% ---------------------------------------------------------------------- simplify! [12] 100.0% [18] 3174(17.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% ---------------------------------------------------------------------- post-process [10] 19.1% choose-best-alt! [16] 19.3% finalize-iter! [13] 61.6% [19] 1046(5.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [23] 80.7% atab-pick-alt8 [25] 19.3% ---------------------------------------------------------------------- for-loop [14] 100.0% [20] 402(2.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [24] 100.0% ---------------------------------------------------------------------- gen-series! [17] 100.0% [21] 198(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ---------------------------------------------------------------------- for-loop [18] 5.7% run [4] 46.5% [22] 18534(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.5% loop [26] 32.2% run-improve58 [2] 15.5% simplify [57] 5.7% ---------------------------------------------------------------------- ??? [19] 100.0% [23] 844(4.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [27] 100.0% ---------------------------------------------------------------------- for-loop [21] 33.0% append-map [20] 67.0% [24] 600(3.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [28] 100.0% ---------------------------------------------------------------------- ??? [19] 100.0% [25] 202(1.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [29] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 4.8% ??? [22] 95.2% [26] 12308(66.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [30] 56.2% make-exacts* [34] 31.2% loop [35] 12.7% ---------------------------------------------------------------------- for-loop [23] 100.0% [27] 844(4.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [31] 100.0% ---------------------------------------------------------------------- taylor-alt [24] 100.0% [28] 600(3.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [32] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [25] 100.0% [29] 202(1.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [33] 100.0% ---------------------------------------------------------------------- loop [26] 100.0% [30] 6914(37.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [35] 50.4% make-exacts* [34] 40.7% eval-prog [42] 9.0% ---------------------------------------------------------------------- atab-add-altn [27] 100.0% [31] 844(4.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [40] 100.0% ---------------------------------------------------------------------- location-do [32] 33.5% for-loop [28] 66.5% [32] 600(3.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [38] 49.7% location-do [32] 33.5% loop [37] 16.8% ---------------------------------------------------------------------- ??? [29] 100.0% [33] 202(1.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [36] 100.0% ---------------------------------------------------------------------- loop [30] 42.3% loop [26] 57.7% [34] 6648(35.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [55] 55.7% map [52] 41.0% eval-prog [42] 3.4% ---------------------------------------------------------------------- loop [26] 30.9% loop [30] 69.1% [35] 5040(27.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ---------------------------------------------------------------------- best-alt [33] 100.0% [36] 202(1.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [39] 100.0% ---------------------------------------------------------------------- loop [37] 50.0% location-do [32] 50.0% [37] 202(1.1%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [37] 50.0% approximate9 [38] 50.0% ---------------------------------------------------------------------- loop [37] 33.7% location-do [32] 66.3% [38] 600(3.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [41] 66.7% f6 [49] 33.3% ---------------------------------------------------------------------- argmins [36] 100.0% [39] 202(1.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [40] 100.0% ---------------------------------------------------------------------- composed [39] 19.3% best-and-tied-at-points [31] 80.7% [40] 1046(5.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [43] 57.7% eval-prog [42] 42.3% ---------------------------------------------------------------------- approximate9 [38] 100.0% [41] 400(2.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [44] 100.0% ---------------------------------------------------------------------- make-exacts* [34] 17.4% errors [40] 34.4% loop [30] 48.2% [42] 1286(6.9%) 200(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [44] 50.1% go [45] 18.8% new-lambda [46] 15.6% ---------------------------------------------------------------------- errors [40] 100.0% [43] 604(3.3%) 404(2.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [56] 33.1% ---------------------------------------------------------------------- for-loop [8] 7.9% ??? [50] 12.1% loop [41] 12.1% localize-error [15] 16.2% eval-prog [42] 22.8% loop [55] 28.8% [44] 1246(6.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [48] 28.8% bigfloat-hash [47] 22.8% f6 [49] 16.2% ??? [50] 12.1% simplify [60] 12.1% ??? [3] 7.9% ---------------------------------------------------------------------- eval-prog [42] 100.0% [45] 242(1.3%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [51] 100.0% ---------------------------------------------------------------------- eval-prog [42] 100.0% [46] 200(1.1%) 200(1.1%) new-lambda ...ollects/racket/private/kw.rkt:631:11 ---------------------------------------------------------------------- hash-ref! [44] 100.0% [47] 644(3.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [53] 65.2% sig+exp->bigfloat [54] 34.8% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [48] 644(3.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [55] 100.0% ---------------------------------------------------------------------- map [52] 16.6% approximate9 [38] 16.6% hash-ref! [44] 33.4% simplify [60] 33.4% [49] 604(3.3%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [52] 83.4% loop [55] 16.6% ---------------------------------------------------------------------- hash-ref! [44] 100.0% [50] 400(2.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [44] 100.0% ---------------------------------------------------------------------- go [45] 25.0% loop [51] 75.0% [51] 242(1.3%) 242(1.3%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [51] 75.0% ---------------------------------------------------------------------- parse-loop50 [66] 2.3% f6 [49] 5.9% make-exacts* [34] 31.8% loop [35] 58.8% [52] 8566(46.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 91.5% ??? [56] 2.6% parse-loop50 [66] 2.4% f6 [49] 2.3% ->flonum [58] 1.2% ---------------------------------------------------------------------- bigfloat-hash [47] 100.0% [53] 420(2.3%) 420(2.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [47] 100.0% [54] 224(1.2%) 224(1.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- make-exacts* [34] 0.6% extract-alt [11] 0.7% f6 [49] 1.5% post-process [10] 2.3% ??? [48] 3.3% map [52] 3.6% loop [55] 87.9% [55] 13688(73.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 87.9% hash-ref! [44] 3.3% ??? [56] 2.6% completely-simplify-alt [59] 2.3% simplify [60] 1.5% parse-loop50 [66] 1.4% simplify [57] 0.7% ->flonum [58] 0.0% ---------------------------------------------------------------------- for-loop [43] 1.9% map [52] 2.1% loop [55] 96.0% [56] 10696(57.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [61] 81.2% real->bigfloat [63] 18.8% ---------------------------------------------------------------------- loop [55] 5.9% ??? [22] 94.1% [57] 3374(18.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [62] 62.0% for-loop [64] 26.1% iterate-egraph!5 [69] 11.9% ---------------------------------------------------------------------- map [52] 17.3% loop [55] 82.7% [58] 1170(6.3%) 214(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [65] 38.8% ??? [86] 23.6% ??? [67] 19.3% ---------------------------------------------------------------------- loop [55] 100.0% [59] 1004(5.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [62] 100.0% ---------------------------------------------------------------------- loop [55] 33.3% hash-ref! [44] 66.7% [60] 600(3.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [49] 33.7% ??? [68] 33.3% parse-loop50 [66] 33.0% ---------------------------------------------------------------------- ??? [56] 100.0% [61] 8686(46.9%) 200(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [76] 66.4% bffma [70] 31.3% ---------------------------------------------------------------------- completely-simplify-alt [59] 32.4% simplify [57] 67.6% [62] 3096(16.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [69] 100.0% ---------------------------------------------------------------------- ??? [56] 100.0% [63] 2010(10.8%) 1586(8.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [85] 21.1% ---------------------------------------------------------------------- simplify [57] 100.0% [64] 882(4.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [69] 100.0% ---------------------------------------------------------------------- ->flonum [58] 100.0% [65] 454(2.4%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [85] 100.0% ---------------------------------------------------------------------- loop [55] 16.5% parse-loop50 [66] 16.5% simplify [60] 16.5% map [52] 50.5% [66] 400(2.2%) 400(2.2%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [66] 16.5% map [52] 16.5% ---------------------------------------------------------------------- ->flonum [58] 100.0% [67] 226(1.2%) 226(1.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- simplify [60] 100.0% [68] 200(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [71] 100.0% ---------------------------------------------------------------------- simplify [57] 9.1% for-loop [64] 20.1% simplify-expr [62] 70.7% [69] 4378(23.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [72] 100.0% ---------------------------------------------------------------------- ??? [61] 100.0% [70] 2716(14.7%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [73] 75.0% ...ow-val-first.rkt:357:18 [74] 25.0% ---------------------------------------------------------------------- ??? [68] 100.0% [71] 200(1.1%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [75] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [69] 100.0% [72] 4378(23.6%) 420(2.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [77] 71.1% loop [78] 19.3% ---------------------------------------------------------------------- bffma [70] 100.0% [73] 2038(11.0%) 226(1.2%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [76] 88.9% ---------------------------------------------------------------------- bffma [70] 100.0% [74] 678(3.7%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [79] 100.0% ---------------------------------------------------------------------- for-loop [71] 100.0% [75] 200(1.1%) 200(1.1%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ---------------------------------------------------------------------- bf* [73] 23.9% ??? [61] 76.1% [76] 7582(40.9%) 1798(9.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [80] 47.7% ??? [86] 15.7% bfsqr [82] 13.0% ---------------------------------------------------------------------- for-loop [77] 50.0% one-iter [72] 50.0% [77] 3114(16.8%) 1270(6.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [77] 50.0% match-e [81] 29.6% ---------------------------------------------------------------------- one-iter [72] 100.0% [78] 844(4.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [83] 100.0% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [74]100.0% [79] 678(3.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [84] 100.0% ---------------------------------------------------------------------- ??? [76] 100.0% [80] 3614(19.5%) 2756(14.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [85] 23.7% ---------------------------------------------------------------------- for-loop [77] 100.0% [81] 1844(9.9%) 1444(7.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [88] 10.8% list-cartesian-product [89] 10.8% ---------------------------------------------------------------------- ??? [76] 100.0% [82] 982(5.3%) 482(2.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [85] 50.9% ---------------------------------------------------------------------- loop [78] 100.0% [83] 844(4.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [87] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [84] 678(3.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 100.0% ---------------------------------------------------------------------- real->bigfloat [63] 19.0% ??? [65] 20.3% bfsqr [82] 22.4% bfadd [80] 38.4% [85] 2236(12.1%) 2236(12.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ->flonum [58] 12.9% ??? [84] 31.7% ??? [76] 55.5% [86] 2142(11.6%) 464(2.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [90] 78.3% ---------------------------------------------------------------------- apply-match [83] 100.0% [87] 844(4.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [91] 100.0% ---------------------------------------------------------------------- match-e [81] 100.0% [88] 200(1.1%) 200(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- list-cartesian-product [89] 50.0% match-e [81] 50.0% [89] 200(1.1%) 200(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [89] 50.0% ---------------------------------------------------------------------- ??? [86] 100.0% [90] 1678(9.1%) 1014(5.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 39.6% ---------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [91] 844(4.6%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [92] 100.0% ---------------------------------------------------------------------- update-leader! [91] 100.0% [92] 844(4.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [94] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [93] 664(3.6%) 664(3.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- for-loop [92] 100.0% [94] 844(4.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [95] 100.0% ---------------------------------------------------------------------- for-loop [94] 100.0% [95] 844(4.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [96] 100.0% ---------------------------------------------------------------------- hash-update! [95] 100.0% [96] 844(4.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [97] 100.0% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 844(4.6%) 400(2.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [98] 52.6% ---------------------------------------------------------------------- for-loop [97] 100.0% [98] 444(2.4%) 444(2.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------