Profiling results ----------------- Total cpu time observed: 17648ms (out of 17952ms) Number of samples taken: 73 (once every 242ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [28] 100.0% [1] 17648(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [28] 100.0% [2] 8134(46.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [7] 65.5% for-loop [9] 32.1% get-final-combination [10] 2.5% ----------------------------------------------------------------------- post-process [11] 7.7% loop [62] 92.3% [3] 2612(14.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 92.3% debug-print [80] 7.7% ----------------------------------------------------------------------- loop [62] 11.1% ??? [28] 88.9% [4] 1800(10.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 77.9% iterate-egraph!5 [12] 22.1% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [5] 200(1.1%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [62] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 17648(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 5324(30.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [11] 100.0% ----------------------------------------------------------------------- simplify [4] 36.8% completely-simplify-alt [3] 63.2% [8] 3812(21.6%) 200(1.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 89.5% loop [15] 5.2% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2610(14.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 200(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ----------------------------------------------------------------------- finalize-table! [7] 100.0% [11] 5324(30.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [62] 53.2% for-loop [17] 31.0% ??? [25] 12.1% completely-simplify-alt [3] 3.8% ----------------------------------------------------------------------- simplify [4] 10.4% simplify-expr [8] 89.6% [12] 3810(21.6%) 200(1.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [16] 94.8% ----------------------------------------------------------------------- for-loop [9] 100.0% [13] 2610(14.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 61.3% finalize-iter! [20] 23.8% localize-error [19] 14.9% ----------------------------------------------------------------------- get-final-combination [10] 100.0% [14] 200(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% ----------------------------------------------------------------------- simplify-expr [8] 100.0% [15] 200(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [16] 3610(20.5%) 202(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 88.9% loop [26] 5.5% ----------------------------------------------------------------------- post-process [11] 100.0% [17] 1648(9.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [23] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [18] 1600(9.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ----------------------------------------------------------------------- run-iter! [13] 48.1% loop [62] 51.9% [19] 810(4.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [20] 620(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% ----------------------------------------------------------------------- loop [15] 100.0% [21] 200(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ----------------------------------------------------------------------- for-loop [22] 46.9% one-iter [16] 53.1% [22] 3208(18.2%) 802(4.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 46.9% match-e [29] 34.4% ??? [32] 3.1% ----------------------------------------------------------------------- for-loop [17] 100.0% [23] 1648(9.3%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [30] 86.7% loop [62] 13.3% ----------------------------------------------------------------------- simplify! [18] 100.0% [24] 1600(9.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ----------------------------------------------------------------------- finalize-iter! [20] 49.1% post-process [11] 50.9% [25] 1264(7.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 100.0% ----------------------------------------------------------------------- one-iter [16] 100.0% [26] 200(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ----------------------------------------------------------------------- pass [21] 100.0% [27] 200(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [34] 100.0% ----------------------------------------------------------------------- for-loop [24] 3.0% run [6] 48.5% [28] 17648(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.5% loop [35] 27.0% run-improve58 [2] 21.5% simplify [4] 3.0% ----------------------------------------------------------------------- for-loop [39] 4.6% for-loop [22] 95.4% [29] 2206(12.5%) 1604(9.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 list-cartesian-product [38] 18.2% for-loop [41] 9.1% for-loop [39] 4.6% ----------------------------------------------------------------------- loop [62] 13.3% append-map [23] 86.7% [30] 1648(9.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ----------------------------------------------------------------------- ??? [25] 100.0% [31] 1264(7.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [32] 200(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [40] 100.0% ----------------------------------------------------------------------- loop [26] 100.0% [33] 200(1.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [42] 100.0% ----------------------------------------------------------------------- for-loop [27] 100.0% [34] 200(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [43] 100.0% ----------------------------------------------------------------------- ??? [28] 100.0% [35] 9514(53.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [50] 57.1% loop [44] 38.5% loop [51] 2.4% filter-exacts [49] 2.1% ----------------------------------------------------------------------- taylor-alt [30] 100.0% [36] 1648(9.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ----------------------------------------------------------------------- for-loop [31] 100.0% [37] 1264(7.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ----------------------------------------------------------------------- list-cartesian-product [38] 25.1% match-e [29] 74.9% [38] 402(2.3%) 402(2.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [38] 25.1% ----------------------------------------------------------------------- match-e [29] 100.0% [39] 202(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [29] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [40] 200(1.1%) 200(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- match-e [29] 100.0% [41] 200(1.1%) 200(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ----------------------------------------------------------------------- apply-match [33] 100.0% [42] 200(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [47] 100.0% ----------------------------------------------------------------------- argmin [34] 100.0% [43] 200(1.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [48] 100.0% ----------------------------------------------------------------------- loop [35] 100.0% [44] 3660(20.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 66.3% make-exacts* [50] 33.7% ----------------------------------------------------------------------- location-do [45] 14.8% for-loop [36] 85.2% [45] 1648(9.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [52] 85.2% location-do [45] 14.8% ----------------------------------------------------------------------- atab-add-altn [37] 100.0% [46] 1264(7.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [53] 100.0% ----------------------------------------------------------------------- for-loop [42] 100.0% [47] 200(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [54] 100.0% ----------------------------------------------------------------------- expression-cost [43] 100.0% [48] 200(1.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [68] 100.0% ----------------------------------------------------------------------- loop [35] 100.0% [49] 196(1.1%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 for-loop [55] 100.0% ----------------------------------------------------------------------- loop [44] 18.5% loop [35] 81.5% [50] 6660(37.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 58.0% loop [62] 42.0% ----------------------------------------------------------------------- loop [35] 8.7% loop [44] 91.3% [51] 2658(15.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ----------------------------------------------------------------------- location-do [45] 100.0% [52] 1648(9.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 62.3% f6 [83] 24.4% for-loop [60] 13.3% ----------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [53] 1264(7.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [58] 52.4% for-loop [59] 47.6% ----------------------------------------------------------------------- loop! [47] 100.0% [54] 200(1.1%) 200(1.1%) custom-set-union ...et/private/set-types.rkt:168:0 ----------------------------------------------------------------------- filter-exacts [49] 100.0% [55] 196(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:111:4 loop [61] 100.0% ----------------------------------------------------------------------- parse-loop12 [78] 2.8% f6 [83] 13.2% loop [51] 34.2% make-exacts* [50] 49.8% [56] 7770(44.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 82.7% parse-loop12 [78] 5.3% f6 [83] 4.7% ??? [63] 4.1% ??? [67] 2.6% ??? [66] 0.6% ----------------------------------------------------------------------- approximate9 [52] 100.0% [57] 1026(5.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ----------------------------------------------------------------------- errors [53] 100.0% [58] 662(3.8%) 442(2.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 parse-app [64] 33.2% ----------------------------------------------------------------------- errors [53] 100.0% [59] 602(3.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 100.0% ----------------------------------------------------------------------- approximate9 [52] 100.0% [60] 220(1.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:18:8 replace-expression [65] 100.0% ----------------------------------------------------------------------- for-loop [55] 100.0% [61] 196(1.1%) 196(1.1%) loop ...cket/collects/racket/private/map.rkt:82:23 ----------------------------------------------------------------------- make-exacts* [50] 0.1% map [56] 0.2% extract-alt [14] 0.5% parse-loop12 [78] 0.8% post-process [11] 1.0% taylor [5] 1.5% ??? [67] 1.5% append-map [23] 1.6% f6 [83] 3.1% loop [62] 89.7% [62] 13784(78.1%) 420(2.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 89.7% simplify [73] 4.5% taylor-alt [30] 1.6% real->bigfloat [72] 1.5% completely-simplify-alt [3] 0.9% f6 [83] 0.7% simplify [4] 0.5% ??? [67] 0.3% localize-error [19] 0.1% ??? [63] 0.0% ??? [93] 0.0% ??? [87] 0.0% bffma [79] 0.0% ----------------------------------------------------------------------- loop [62] 49.0% map [56] 51.0% [63] 608(3.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 100.0% ----------------------------------------------------------------------- eval-prog [58] 100.0% [64] 220(1.2%) 220(1.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ----------------------------------------------------------------------- for-loop [69] 25.0% for-loop [60] 25.0% replace-expression [65] 50.0% [65] 220(1.2%) 220(1.2%) replace-expression ...erbie/src/programs.rkt:119:0 replace-expression [65] 50.0% for-loop [69] 25.0% ----------------------------------------------------------------------- map [56] 100.0% [66] 202(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [70] 100.0% ----------------------------------------------------------------------- map [56] 2.0% for-loop [59] 6.1% loop [62] 91.9% [67] 9920(56.2%) 698(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 62.6% real->bigfloat [72] 17.2% loop [62] 9.1% ->flonum [76] 4.1% ----------------------------------------------------------------------- ??? [77] 4.9% compile [48] 4.9% ??? [75] 10.2% ??? [63] 16.7% ??? [74] 19.6% loop [57] 20.6% localize-error [19] 23.1% [68] 2036(11.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [78] 30.0% ??? [74] 19.6% f6 [83] 15.3% ??? [75] 10.2% simplify [73] 10.2% ??? [77] 9.8% taylor [5] 4.9% ----------------------------------------------------------------------- replace-expression [65] 100.0% [69] 220(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/programs.rkt:124:4 replace-expression [65] 100.0% ----------------------------------------------------------------------- ??? [66] 100.0% [70] 202(1.1%) 202(1.1%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ----------------------------------------------------------------------- ??? [67] 100.0% [71] 6206(35.2%) 448(2.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 63.8% bffma [79] 15.9% bf* [84] 8.6% ...higher-order.rkt:373:33 [82] 4.4% ----------------------------------------------------------------------- loop [62] 20.0% ??? [67] 80.0% [72] 2134(12.1%) 1706(9.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 20.1% ----------------------------------------------------------------------- taylor-quotient [91] 14.0% hash-ref! [68] 42.3% loop [62] 43.7% [73] 1428(8.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [83] 57.8% debug-print [80] 28.0% parse-loop12 [78] 14.1% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [74] 824(4.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [75] 604(3.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ----------------------------------------------------------------------- ??? [67] 100.0% [76] 402(2.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [81] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [77] 200(1.1%) 200(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [68] 50.0% ----------------------------------------------------------------------- simplify [73] 14.1% hash-ref! [68] 42.5% map [56] 43.5% [78] 1436(8.1%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 51.3% f6 [83] 43.6% map [56] 5.1% ----------------------------------------------------------------------- loop [62] 16.0% ??? [71] 84.0% [79] 1174(6.7%) 276(1.6%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [84] 60.5% ...ow-val-first.rkt:357:18 [86] 16.0% ----------------------------------------------------------------------- completely-simplify-alt [3] 33.6% simplify [73] 66.4% [80] 602(3.4%) 200(1.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [85] 66.8% ----------------------------------------------------------------------- ->flonum [76] 100.0% [81] 402(2.3%) 402(2.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [71] 100.0% [82] 276(1.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 100.0% ----------------------------------------------------------------------- loop [62] 7.0% parse-loop12 [78] 10.7% f6 [83] 11.6% approximate9 [52] 16.8% hash-ref! [68] 17.1% simplify [73] 18.4% map [56] 18.4% [83] 1428(8.1%) 200(1.1%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [56] 50.8% taylor-quotient [91] 14.0% f6 [83] 11.6% gather-multiplicative-terms [89] 7.8% loop [62] 5.9% combine-mterms [90] 2.8% ----------------------------------------------------------------------- ??? [71] 42.9% bffma [79] 57.1% [84] 1244(7.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [87] 100.0% ----------------------------------------------------------------------- debug-print [80] 100.0% [85] 402(2.3%) 402(2.3%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- bffma [79] 100.0% [86] 188(1.1%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [88] 100.0% ----------------------------------------------------------------------- loop [62] 3.7% bf* [84] 23.0% ??? [71] 73.3% [87] 5408(30.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [92] 82.9% ??? [94] 17.1% ----------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [86] 40.5% ...higher-order.rkt:373:33 [82] 59.5% [88] 464(2.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% ----------------------------------------------------------------------- f6 [83] 100.0% [89] 424(2.4%) 424(2.4%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- f6 [83] 100.0% [90] 202(1.1%) 202(1.1%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 ----------------------------------------------------------------------- f6 [83] 100.0% [91] 200(1.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [73] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [92] 4482(25.4%) 3968(22.5%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 11.5% ----------------------------------------------------------------------- ??? [88] 49.2% loop [62] 50.8% [93] 944(5.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ----------------------------------------------------------------------- ??? [87] 49.5% ??? [93] 50.5% [94] 1870(10.6%) 1146(6.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 38.7% ----------------------------------------------------------------------- real->bigfloat [72] 45.4% bfdiv [92] 54.6% [95] 942(5.3%) 942(5.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [94] 100.0% [96] 724(4.1%) 188(1.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 74.0% ----------------------------------------------------------------------- ??? [96] 100.0% [97] 536(3.0%) 536(3.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------