Profiling results ----------------- Total cpu time observed: 16114ms (out of 16756ms) Number of samples taken: 74 (once every 218ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [21] 100.0% [1] 15694(97.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [21] 100.0% [2] 6904(42.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [6] 62.2% for-loop [7] 35.2% get-final-combination [8] 2.7% ---------------------------------------------------------------------- location-do [31] 100.0% [3] 198(1.2%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [36] 100.0% ---------------------------------------------------------------------- f6 [50] 100.0% [4] 190(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [55] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.6% [5] 15924(98.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [21] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 4292(26.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 2428(15.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 184(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% ---------------------------------------------------------------------- finalize-table! [6] 100.0% [9] 4292(26.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [52] 56.2% for-loop [13] 26.5% ??? [17] 13.2% localize-error [14] 4.1% ---------------------------------------------------------------------- for-loop [7] 100.0% [10] 2428(15.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 53.7% finalize-iter! [15] 30.9% localize-error [14] 15.4% ---------------------------------------------------------------------- get-final-combination [8] 100.0% [11] 184(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [16] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [12] 1304(8.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ---------------------------------------------------------------------- post-process [9] 100.0% [13] 1138(7.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [19] 100.0% ---------------------------------------------------------------------- post-process [9] 19.3% loop [52] 39.8% run-iter! [10] 40.9% [14] 914(5.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [42] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 750(4.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [17] 100.0% ---------------------------------------------------------------------- extract-alt [11] 100.0% [16] 184(1.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [20] 100.0% ---------------------------------------------------------------------- post-process [9] 43.0% finalize-iter! [15] 57.0% [17] 1316(8.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [23] 85.1% atab-add-altns [24] 14.9% ---------------------------------------------------------------------- simplify! [12] 100.0% [18] 1304(8.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [21] 100.0% ---------------------------------------------------------------------- for-loop [13] 100.0% [19] 1138(7.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [22] 100.0% ---------------------------------------------------------------------- argmins [16] 100.0% [20] 184(1.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [35] 100.0% ---------------------------------------------------------------------- for-loop [18] 2.7% run [5] 49.4% [21] 15924(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.9% loop [25] 29.0% run-improve58 [2] 20.3% simplify [27] 2.7% ---------------------------------------------------------------------- append-map [19] 100.0% [22] 1138(7.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [28] 100.0% ---------------------------------------------------------------------- ??? [17] 100.0% [23] 1120(7.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [26] 100.0% ---------------------------------------------------------------------- ??? [17] 100.0% [24] 196(1.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [26] 100.0% ---------------------------------------------------------------------- ??? [21] 100.0% [25] 9020(56.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [29] 48.1% make-exacts* [33] 47.3% filter-exacts [32] 2.5% loop [34] 2.0% ---------------------------------------------------------------------- atab-add-altns [24] 14.9% for-loop [23] 85.1% [26] 1316(8.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [30] 100.0% ---------------------------------------------------------------------- ??? [21] 100.0% [27] 1304(8.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [58] 70.6% iterate-egraph!5 [63] 29.4% ---------------------------------------------------------------------- taylor-alt [22] 100.0% [28] 1138(7.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [31] 100.0% ---------------------------------------------------------------------- loop [25] 100.0% [29] 4336(26.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [34] 65.6% make-exacts* [33] 30.3% eval-prog [41] 4.1% ---------------------------------------------------------------------- atab-add-altn [26] 100.0% [30] 1316(8.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [35] 85.6% for-loop [38] 14.4% ---------------------------------------------------------------------- location-do [31] 44.3% for-loop [28] 55.7% [31] 1138(7.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [36] 49.9% location-do [31] 44.3% loop [3] 5.8% ---------------------------------------------------------------------- loop [25] 100.0% [32] 230(1.4%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 for-loop [37] 100.0% ---------------------------------------------------------------------- loop [29] 23.5% loop [25] 76.5% [33] 5584(34.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [52] 52.7% map [51] 47.3% ---------------------------------------------------------------------- loop [25] 6.1% loop [29] 93.9% [34] 3028(18.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [51] 100.0% ---------------------------------------------------------------------- composed [20] 14.0% best-and-tied-at-points [30] 86.0% [35] 1310(8.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [40] 71.8% eval-prog [41] 28.2% ---------------------------------------------------------------------- loop [3] 17.4% location-do [31] 82.6% [36] 1138(7.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [39] 83.3% f6 [50] 16.7% ---------------------------------------------------------------------- filter-exacts [32] 100.0% [37] 230(1.4%) 230(1.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:111:4 ---------------------------------------------------------------------- best-and-tied-at-points [30] 100.0% [38] 190(1.2%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [43] 100.0% ---------------------------------------------------------------------- approximate9 [36] 100.0% [39] 948(5.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [42] 100.0% ---------------------------------------------------------------------- errors [35] 100.0% [40] 940(5.8%) 198(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [53] 40.4% ??? [43] 38.5% ---------------------------------------------------------------------- loop [29] 32.5% errors [35] 67.5% [41] 548(3.4%) 548(3.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- ??? [47] 5.3% ??? [45] 10.1% ??? [56] 18.8% localize-error [14] 30.3% loop [39] 35.5% [42] 1862(11.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [50] 26.7% parse-loop12 [44] 24.2% simplify [55] 20.1% ??? [45] 10.1% ??? [47] 5.3% ??? [46] 5.3% taylor-quotient [49] 4.9% ??? [48] 3.4% ---------------------------------------------------------------------- for-loop [38] 34.4% for-loop [40] 65.6% [43] 552(3.4%) 552(3.4%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- map [51] 15.9% simplify [55] 17.4% hash-ref! [42] 66.7% [44] 1106(6.9%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [52] 58.2% make-multiplication-node [60] 17.4% f6 [50] 15.9% map [51] 8.5% ---------------------------------------------------------------------- hash-ref! [42] 100.0% [45] 376(2.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [42] 100.0% ---------------------------------------------------------------------- hash-ref! [42] 100.0% [46] 198(1.2%) 198(1.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 ---------------------------------------------------------------------- hash-ref! [42] 100.0% [47] 198(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [42] 100.0% ---------------------------------------------------------------------- hash-ref! [42] 100.0% [48] 188(1.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 real->bigfloat [59] 100.0% ---------------------------------------------------------------------- hash-ref! [42] 100.0% [49] 184(1.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [55] 100.0% ---------------------------------------------------------------------- map [51] 4.3% approximate9 [36] 4.3% parse-loop12 [44] 8.0% simplify [55] 12.4% f6 [50] 13.1% hash-ref! [42] 57.8% [50] 1096(6.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [51] 73.8% f6 [50] 13.1% loop [52] 8.8% taylor-sqrt [4] 4.3% ---------------------------------------------------------------------- parse-loop12 [44] 2.8% f6 [50] 13.4% make-exacts* [33] 39.1% loop [34] 44.8% [51] 6764(42.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 90.1% ??? [56] 4.5% make-multiplication-node [60] 2.7% f6 [50] 1.4% parse-loop12 [44] 1.3% ---------------------------------------------------------------------- make-exacts* [33] 0.0% ??? [53] 0.6% map [51] 1.1% f6 [50] 1.6% parse-loop12 [44] 1.8% post-process [9] 2.6% loop [52] 92.4% [52] 11766(73.0%) 186(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 92.4% completely-simplify-alt [54] 2.5% ??? [56] 1.7% simplify [55] 1.6% ??? [53] 0.9% ??? [75] 0.2% localize-error [14] 0.1% ...higher-order.rkt:373:33 [65] 0.0% real->bigfloat [59] 0.0% ??? [80] 0.0% ->flonum [61] 0.0% ---------------------------------------------------------------------- for-loop [40] 4.4% loop [52] 95.6% [53] 8722(54.1%) 496(3.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [57] 59.3% loop [52] 13.2% real->bigfloat [59] 12.7% ??? [80] 4.0% ...e/case-arrow.rkt:150:50 [62] 3.0% ->flonum [61] 2.1% ---------------------------------------------------------------------- loop [52] 100.0% [54] 2048(12.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [58] 100.0% ---------------------------------------------------------------------- taylor-quotient [49] 19.6% taylor-sqrt [4] 20.2% loop [52] 20.4% hash-ref! [42] 39.8% [55] 940(5.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [50] 38.9% debug-print [72] 21.1% parse-loop12 [44] 20.4% make-multiplication-node [60] 19.6% ---------------------------------------------------------------------- map [51] 38.4% loop [52] 61.6% [56] 550(3.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [42] 100.0% ---------------------------------------------------------------------- ??? [53] 100.0% [57] 5174(32.1%) 196(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [75] 48.5% bffma [64] 19.6% ...higher-order.rkt:373:33 [65] 12.6% ...ow-val-first.rkt:357:18 [71] 8.9% bf* [70] 6.6% ---------------------------------------------------------------------- simplify [27] 31.0% completely-simplify-alt [54] 69.0% [58] 2968(18.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [63] 100.0% ---------------------------------------------------------------------- ??? [48] 9.0% loop [52] 37.6% ??? [53] 53.4% [59] 2082(12.9%) 1830(11.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 12.1% ---------------------------------------------------------------------- simplify [55] 24.8% parse-loop12 [44] 25.9% map [51] 49.3% [60] 742(4.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [66]100.0% ---------------------------------------------------------------------- ??? [53] 40.5% loop [52] 59.5% [61] 454(2.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [67] 59.5% ??? [68] 40.5% ---------------------------------------------------------------------- ??? [53] 100.0% [62] 258(1.6%) 258(1.6%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- simplify [27] 11.5% simplify-expr [58] 88.5% [63] 3352(20.8%) 178(1.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [69] 88.7% debug-print [72] 6.0% ---------------------------------------------------------------------- ??? [57] 100.0% [64] 1012(6.3%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [70] 75.1% ...ow-val-first.rkt:357:18 [71] 24.9% ---------------------------------------------------------------------- loop [52] 22.3% ??? [57] 77.7% [65] 842(5.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [77] 77.2% ??? [80] 22.8% ---------------------------------------------------------------------- make-multiplication-node [60] 100.0% [66] 742(4.6%) 382(2.4%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [73] 24.8% for-loop [74] 23.7% ---------------------------------------------------------------------- ->flonum [61] 100.0% [67] 270(1.7%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [86] 100.0% ---------------------------------------------------------------------- ->flonum [61] 100.0% [68] 184(1.1%) 184(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- iterate-egraph!5 [63] 100.0% [69] 2972(18.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [76] 94.0% loop [78] 6.0% ---------------------------------------------------------------------- ??? [57] 31.0% bffma [64] 69.0% [70] 1102(6.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [75] 100.0% ---------------------------------------------------------------------- bffma [64] 35.3% ??? [57] 64.7% [71] 714(4.4%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [77] 100.0% ---------------------------------------------------------------------- simplify [55] 49.5% iterate-egraph!5 [63] 50.5% [72] 400(2.5%) 400(2.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- make-multiplication-subnode [66]100.0% [73] 184(1.1%) 184(1.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 ---------------------------------------------------------------------- make-multiplication-subnode [66]100.0% [74] 176(1.1%) 176(1.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ---------------------------------------------------------------------- loop [52] 13.0% bf* [70] 26.6% ??? [57] 60.5% [75] 4148(25.7%) 352(2.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [79] 50.9% bfsqr [82] 33.9% ??? [85] 6.7% ---------------------------------------------------------------------- for-loop [76] 50.0% one-iter [69] 50.0% [76] 2794(17.3%) 732(4.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [76] 50.0% match-e [81] 33.7% ??? [83] 3.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [65] 47.7% ...ow-val-first.rkt:357:18 [71] 52.3% [77] 1364(8.5%) 188(1.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [80] 86.2% ---------------------------------------------------------------------- one-iter [69] 100.0% [78] 178(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [84] 100.0% ---------------------------------------------------------------------- ??? [75] 100.0% [79] 2112(13.1%) 1886(11.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [86] 10.7% ---------------------------------------------------------------------- loop [52] 9.7% ...higher-order.rkt:373:33 [65] 10.1% ??? [53] 18.2% ??? [77] 62.0% [80] 1898(11.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [85] 100.0% ---------------------------------------------------------------------- for-loop [76] 100.0% [81] 1882(11.7%) 1690(10.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 custom-in-set [87] 10.2% ---------------------------------------------------------------------- ??? [75] 100.0% [82] 1406(8.7%) 612(3.8%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [86] 56.5% ---------------------------------------------------------------------- for-loop [76] 100.0% [83] 180(1.1%) 180(1.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- loop [78] 100.0% [84] 178(1.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [88] 100.0% ---------------------------------------------------------------------- ??? [75] 12.8% ??? [80] 87.2% [85] 2176(13.5%) 1160(7.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 40.4% ??? [91] 6.2% ---------------------------------------------------------------------- bfmul [79] 14.7% real->bigfloat [59] 16.3% ??? [67] 17.5% bfsqr [82] 51.5% [86] 1542(9.6%) 1542(9.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- match-e [81] 100.0% [87] 192(1.2%) 192(1.2%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- apply-match [84] 100.0% [88] 178(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [90] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [89] 880(5.5%) 210(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 76.1% ---------------------------------------------------------------------- loop! [88] 100.0% [90] 178(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [93] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [91] 136(0.8%) 136(0.8%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- ??? [89] 100.0% [92] 670(4.2%) 670(4.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- custom-set-union [90] 100.0% [93] 178(1.1%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 100.0% ---------------------------------------------------------------------- for-loop [93] 100.0% [94] 178(1.1%) 178(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------