Profiling results ----------------- Total cpu time observed: 12026ms (out of 12312ms) Number of samples taken: 48 (once every 251ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [37] 100.0% [1] 11822(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [37] 100.0% [2] 3948(32.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 84.2% finalize-table! [13] 10.6% get-final-combination [14] 5.1% ------------------------------------------------------------------------ ??? [37] 100.0% [3] 2482(20.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 58.3% for-loop [10] 41.7% ------------------------------------------------------------------------ hash-ref! [76] 100.0% [4] 622(5.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ------------------------------------------------------------------------ f94 [66] 100.0% [5] 208(1.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [11] 100.0% ------------------------------------------------------------------------ hash-ref! [76] 100.0% [6] 202(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [7] 11822(98.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 3326(27.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 1448(12.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 86.2% loop [20] 13.8% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 1034(8.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------------ taylor-invert [5] 20.2% hash-ref! [76] 79.8% [11] 1032(8.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [66] 60.3% parse-loop50 [70] 20.2% simplify-node [72] 19.6% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 622(5.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [76] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [13] 420(3.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [14] 202(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [15] 202(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [76] 100.0% ------------------------------------------------------------------------ for-loop [8] 100.0% [16] 3326(27.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 74.6% gen-series! [23] 18.4% finalize-iter! [25] 7.0% ------------------------------------------------------------------------ for-loop [10] 45.3% simplify-expr [9] 54.7% [17] 2282(19.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 91.1% map-enodes [27] 8.9% ------------------------------------------------------------------------ finalize-table! [13] 100.0% [18] 420(3.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [24] 100.0% ------------------------------------------------------------------------ get-final-combination [14] 100.0% [19] 202(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [26] 100.0% ------------------------------------------------------------------------ simplify-expr [9] 100.0% [20] 200(1.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [28] 100.0% ------------------------------------------------------------------------ run-iter! [16] 100.0% [21] 2482(20.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [17] 100.0% [22] 2080(17.3%) 222(1.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 50.7% loop [33] 29.0% apply-match [39] 9.6% ------------------------------------------------------------------------ run-iter! [16] 100.0% [23] 612(5.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ------------------------------------------------------------------------ post-process [18] 100.0% [24] 420(3.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% ------------------------------------------------------------------------ run-iter! [16] 100.0% [25] 232(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ------------------------------------------------------------------------ extract-alt [19] 100.0% [26] 202(1.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [35] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [17] 100.0% [27] 202(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [69] 100.0% ------------------------------------------------------------------------ loop [20] 100.0% [28] 200(1.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [36] 100.0% ------------------------------------------------------------------------ simplify! [21] 100.0% [29] 2482(20.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ------------------------------------------------------------------------ for-loop [30] 50.0% one-iter [22] 50.0% [30] 1054(8.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 50.0% match-e [43] 50.0% ------------------------------------------------------------------------ simplify-node [72] 32.5% for-loop [24] 67.5% [31] 622(5.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 67.5% parse-loop50 [70] 32.5% ------------------------------------------------------------------------ gen-series! [23] 100.0% [32] 612(5.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ------------------------------------------------------------------------ one-iter [22] 100.0% [33] 604(5.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ------------------------------------------------------------------------ finalize-iter! [25] 100.0% [34] 232(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 100.0% ------------------------------------------------------------------------ argmins [26] 100.0% [35] 202(1.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [59] 100.0% ------------------------------------------------------------------------ pass [28] 100.0% [36] 200(1.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 make-sequence [41] 100.0% ------------------------------------------------------------------------ for-loop [29] 7.2% run [7] 46.0% [37] 12026(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.0% loop [42] 33.6% run-improve58 [2] 13.3% simplify [3] 7.2% ------------------------------------------------------------------------ append-map [31] 40.7% for-loop [32] 59.3% [38] 1032(8.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ------------------------------------------------------------------------ one-iter [22] 24.9% loop [33] 75.1% [39] 804(6.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [43] 50.2% substitute-e [47] 24.9% for-loop [48] 24.9% ------------------------------------------------------------------------ ??? [34] 100.0% [40] 232(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% ------------------------------------------------------------------------ for-loop [36] 100.0% [41] 200(1.7%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [46] 100.0% ------------------------------------------------------------------------ ??? [37] 100.0% [42] 8078(67.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [55] 60.3% loop [49] 39.7% ------------------------------------------------------------------------ for-loop [58] 14.6% apply-match [39] 20.7% for-loop [30] 64.7% [43] 1458(12.1%) 844(7.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 21.6% for-loop [58] 14.3% list-cartesian-product [60] 13.9% ------------------------------------------------------------------------ taylor-alt [38] 100.0% [44] 1032(8.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ------------------------------------------------------------------------ for-loop [40] 100.0% [45] 232(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52] 100.0% ------------------------------------------------------------------------ make-sequence [41] 100.0% [46] 200(1.7%) 0(0.0%) ??? ...acket/collects/racket/private/for.rkt:428:7 custom-in-set [53] 100.0% ------------------------------------------------------------------------ apply-match [39] 100.0% [47] 200(1.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 100.0% ------------------------------------------------------------------------ apply-match [39] 100.0% [48] 200(1.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [81] 100.0% ------------------------------------------------------------------------ loop [42] 100.0% [49] 3210(26.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 64.9% make-exacts* [55] 35.1% ------------------------------------------------------------------------ for-loop [44] 100.0% [50] 1032(8.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [57] 100.0% ------------------------------------------------------------------------ match-e [43] 100.0% [51] 426(3.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 76.1% list-cartesian-product [60] 23.9% ------------------------------------------------------------------------ atab-add-altn [45] 100.0% [52] 232(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [59] 100.0% ------------------------------------------------------------------------ ??? [46] 100.0% [53] 200(1.7%) 200(1.7%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------------ substitute-e [47] 100.0% [54] 200(1.7%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [61] 100.0% ------------------------------------------------------------------------ loop [49] 18.8% loop [42] 81.2% [55] 5996(49.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [67] 53.6% loop [69] 46.4% ------------------------------------------------------------------------ loop [49] 100.0% [56] 2082(17.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [67] 100.0% ------------------------------------------------------------------------ location-do [50] 100.0% [57] 1032(8.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [66] 40.7% loop [62] 39.1% for-loop [64] 20.2% ------------------------------------------------------------------------ match-e [43] 32.8% for-loop [51] 67.2% [58] 634(5.3%) 208(1.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 67.2% ------------------------------------------------------------------------ composed [35] 46.5% best-and-tied-at-points [52] 53.5% [59] 434(3.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 53.5% eval-prog [65] 46.5% ------------------------------------------------------------------------ list-cartesian-product [60] 24.9% match-e [43] 24.9% for-loop [51] 50.2% [60] 406(3.4%) 406(3.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [60] 24.9% ------------------------------------------------------------------------ mk-enode! [54] 100.0% [61] 200(1.7%) 200(1.7%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ approximate9 [57] 100.0% [62] 404(3.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [76] 100.0% ------------------------------------------------------------------------ errors [59] 100.0% [63] 232(1.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 100.0% ------------------------------------------------------------------------ approximate9 [57] 100.0% [64] 208(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [66] 100.0% ------------------------------------------------------------------------ errors [59] 100.0% [65] 202(1.7%) 202(1.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ f94 [66] 10.1% for-loop [64] 10.1% map [67] 22.8% simplify [11] 26.9% approximate9 [57] 30.1% [66] 1032(8.6%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [67] 39.1% taylor-sqrt [68] 30.1% gather-multiplicative-terms [73] 10.6% f94 [66] 10.1% taylor-invert [5] 10.1% ------------------------------------------------------------------------ parse-loop50 [70] 1.1% gather-multiplicative-terms [73] 3.7% f94 [66] 5.7% loop [56] 35.2% make-exacts* [55] 54.3% [67] 5920(49.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 85.2% ??? [75] 4.3% gather-multiplicative-terms [73] 3.7% f94 [66] 3.4% parse-loop50 [70] 1.1% make-multiplication-node [74] 1.1% simplify-node [72] 1.1% ------------------------------------------------------------------------ f94 [66] 100.0% [68] 420(3.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [71] 100.0% ------------------------------------------------------------------------ ??? [75] 0.0% loop! [81] 0.1% map [67] 0.9% map-enodes [27] 2.5% make-exacts* [55] 3.0% loop [69] 93.4% [69] 8228(68.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 93.4% ??? [75] 4.0% for-loop [79] 2.5% loop! [81] 0.1% ->flonum [77] 0.0% ??? [94] 0.0% real->bigfloat [83] 0.0% ------------------------------------------------------------------------ append-map [31] 33.0% map [67] 33.0% simplify [11] 34.0% [70] 612(5.1%) 202(1.7%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-app [78] 34.0% map [67] 33.0% ------------------------------------------------------------------------ taylor-sqrt [68] 100.0% [71] 420(3.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [76] 100.0% ------------------------------------------------------------------------ simplify [11] 50.0% map [67] 50.0% [72] 404(3.4%) 202(1.7%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [31] 50.0% ------------------------------------------------------------------------ map [67] 50.0% f94 [66] 50.0% [73] 218(1.8%) 218(1.8%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [67] 50.0% ------------------------------------------------------------------------ map [67] 100.0% [74] 202(1.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [80]100.0% ------------------------------------------------------------------------ for-loop [63] 2.9% map [67] 3.1% loop [69] 94.0% [75] 8086(67.2%) 266(2.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 41.7% real->bigfloat [83] 30.2% ??? [94] 12.8% loop [69] 12.0% ------------------------------------------------------------------------ ??? [88] 2.7% for-loop [15] 5.4% ??? [84] 7.6% loop [62] 7.6% ??? [85] 22.9% first-nonzero-exp [71] 25.5% for-loop [12] 28.2% [76] 824(6.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [11] 33.1% ??? [4] 28.2% ??? [85] 22.9% ??? [84] 7.6% ??? [6] 5.4% ??? [88] 2.7% ------------------------------------------------------------------------ loop [69] 100.0% [77] 224(1.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [86] 100.0% ------------------------------------------------------------------------ parse-loop50 [70] 100.0% [78] 208(1.7%) 208(1.7%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ loop [69] 100.0% [79] 202(1.7%) 202(1.7%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ------------------------------------------------------------------------ make-multiplication-node [74] 100.0% [80] 202(1.7%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [87] 100.0% ------------------------------------------------------------------------ loop [69] 50.0% for-loop [48] 50.0% [81] 200(1.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [69] 50.0% set [89] 50.0% ------------------------------------------------------------------------ ??? [75] 100.0% [82] 3368(28.0%) 232(1.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [90] 51.4% ...higher-order.rkt:373:33 [91] 29.5% ??? [92] 12.2% ------------------------------------------------------------------------ loop [69] 8.5% ??? [75] 91.5% [83] 2670(22.2%) 2420(20.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 9.4% ------------------------------------------------------------------------ hash-ref! [76] 100.0% [84] 404(3.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [76] 100.0% ------------------------------------------------------------------------ hash-ref! [76] 100.0% [85] 404(3.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [76] 100.0% ------------------------------------------------------------------------ ->flonum [77] 100.0% [86] 224(1.9%) 224(1.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ make-multiplication-subnode [80]100.0% [87] 202(1.7%) 202(1.7%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------ hash-ref! [76] 100.0% [88] 202(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [76] 100.0% ------------------------------------------------------------------------ loop! [81] 100.0% [89] 200(1.7%) 200(1.7%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ??? [82] 100.0% [90] 1732(14.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ------------------------------------------------------------------------ ??? [82] 100.0% [91] 992(8.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 51.6% ??? [94] 48.4% ------------------------------------------------------------------------ ??? [82] 19.2% bf* [90] 80.8% [92] 2144(17.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [95] 77.0% ??? [96] 23.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [91] 100.0% [93] 512(4.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [91] 17.3% ??? [93] 18.5% loop [69] 26.8% ??? [75] 37.4% [94] 2774(23.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ------------------------------------------------------------------------ ??? [92] 100.0% [95] 1650(13.7%) 1232(10.2%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 25.3% ------------------------------------------------------------------------ ??? [92] 15.1% ??? [94] 84.9% [96] 3268(27.2%) 1678(14.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 41.3% ??? [99] 7.3% ------------------------------------------------------------------------ real->bigfloat [83] 37.4% bfmul [95] 62.6% [97] 668(5.6%) 668(5.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [96] 100.0% [98] 1350(11.2%) 254(2.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 81.2% ------------------------------------------------------------------------ ??? [96] 100.0% [99] 240(2.0%) 240(2.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [98] 100.0% [100] 1096(9.1%) 1096(9.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------