Profiling results ----------------- Total cpu time observed: 39468ms (out of 39816ms) Number of samples taken: 249 (once every 159ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [36] 100.0% [1] 39268(99.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ ??? [36] 100.0% [2] 7640(19.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 71.3% get-final-combination [11] 19.5% loop [42] 9.2% ------------------------------------------------------------------------ loop [81] 26.3% ??? [36] 73.7% [3] 4894(12.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 59.0% iterate-egraph!5 [16] 33.3% for-loop [14] 7.8% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [4] 402(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [5] 402(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [6] 400(1.0%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [65] 100.0% ------------------------------------------------------------------------ loop [81] 100.0% [7] 400(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [8] 39268(99.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 5448(13.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 2886(7.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 93.2% loop [19] 6.8% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 1488(3.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 402(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 402(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [18] 74.9% hash-ref! [70] 25.1% ------------------------------------------------------------------------ simplify [3] 100.0% [14] 380(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ------------------------------------------------------------------------ for-loop [9] 100.0% [15] 5448(13.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 70.2% finalize-iter! [22] 11.4% gen-series! [23] 11.0% localize-error [24] 7.3% ------------------------------------------------------------------------ for-loop [14] 8.1% simplify [3] 34.7% simplify-expr [10] 57.3% [16] 4698(11.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 92.4% map-enodes [25] 7.6% ------------------------------------------------------------------------ get-final-combination [11] 100.0% [17] 1488(3.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [81] 86.6% loop [26] 13.4% ------------------------------------------------------------------------ for-loop [13] 100.0% [18] 402(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [70] 100.0% ------------------------------------------------------------------------ simplify-expr [10] 100.0% [19] 196(0.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [27] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [20] 4342(11.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 51.6% loop [30] 48.4% ------------------------------------------------------------------------ run-iter! [15] 100.0% [21] 3826(9.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [22] 620(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [23] 602(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ------------------------------------------------------------------------ run-iter! [15] 100.0% [24] 400(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [16] 100.0% [25] 356(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [35] 50.0% loop [81] 50.0% ------------------------------------------------------------------------ extract-alt [17] 100.0% [26] 200(0.5%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [33] 100.0% ------------------------------------------------------------------------ loop [19] 100.0% [27] 196(0.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [34] 100.0% ------------------------------------------------------------------------ simplify! [21] 100.0% [28] 3826(9.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 94.2% debug-print [80] 5.8% ------------------------------------------------------------------------ for-loop [29] 50.0% one-iter [20] 50.0% [29] 2242(5.7%) 592(1.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [43] 36.8% ------------------------------------------------------------------------ one-iter [20] 100.0% [30] 2100(5.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% ------------------------------------------------------------------------ finalize-iter! [22] 100.0% [31] 620(1.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 100.0% ------------------------------------------------------------------------ gen-series! [23] 100.0% [32] 602(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [39] 100.0% ------------------------------------------------------------------------ loop [26] 100.0% [33] 200(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [61] 100.0% ------------------------------------------------------------------------ pass [27] 100.0% [34] 196(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [40] 100.0% ------------------------------------------------------------------------ map-enodes [25] 100.0% [35] 178(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [41] 100.0% ------------------------------------------------------------------------ for-loop [28] 3.0% run [8] 48.2% [36] 39468(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% loop [42] 40.3% run-improve58 [2] 8.4% simplify [3] 3.0% ------------------------------------------------------------------------ loop [30] 100.0% [37] 2100(5.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [44] 45.5% match-e [43] 18.3% reduce-to-single! [47] 17.3% for-loop [48] 9.6% substitute-e [49] 9.2% ------------------------------------------------------------------------ ??? [31] 100.0% [38] 620(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [39] 602(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [46] 100.0% ------------------------------------------------------------------------ for-loop [34] 100.0% [40] 196(0.5%) 196(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ for-loop [35] 100.0% [41] 178(0.5%) 178(0.5%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------ run-improve58 [2] 2.2% ??? [36] 97.8% [42] 32532(82.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [50] 66.5% make-exacts* [59] 32.1% loop [60] 1.4% ------------------------------------------------------------------------ apply-match [37] 18.9% for-loop [29] 81.1% [43] 2034(5.2%) 1456(3.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [54] 18.9% constant? [55] 9.5% ------------------------------------------------------------------------ for-loop [58] 9.3% apply-match [37] 90.7% [44] 956(2.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [51] 81.4% for-loop [58] 18.6% ------------------------------------------------------------------------ for-loop [38] 100.0% [45] 620(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52] 100.0% ------------------------------------------------------------------------ taylor-alt [39] 100.0% [46] 602(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ------------------------------------------------------------------------ apply-match [37] 100.0% [47] 364(0.9%) 178(0.5%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [57] 51.1% ------------------------------------------------------------------------ apply-match [37] 100.0% [48] 202(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [86] 100.0% ------------------------------------------------------------------------ apply-match [37] 100.0% [49] 194(0.5%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [56] 100.0% ------------------------------------------------------------------------ loop [42] 100.0% [50] 21630(54.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [60] 60.6% make-exacts* [59] 39.4% ------------------------------------------------------------------------ merge-egraph-nodes! [44] 100.0% [51] 778(2.0%) 200(0.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [63] 74.3% ------------------------------------------------------------------------ atab-add-altn [45] 100.0% [52] 620(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 100.0% ------------------------------------------------------------------------ location-do [53] 38.9% for-loop [46] 61.1% [53] 602(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [62] 61.1% location-do [53] 38.9% ------------------------------------------------------------------------ match-e [43] 100.0% [54] 384(1.0%) 182(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [64] 52.6% ------------------------------------------------------------------------ match-e [43] 100.0% [55] 194(0.5%) 194(0.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ substitute-e [49] 100.0% [56] 194(0.5%) 194(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ reduce-to-single! [47] 100.0% [57] 186(0.5%) 186(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ------------------------------------------------------------------------ merge-egraph-nodes! [44] 100.0% [58] 178(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [44] 50.0% loop! [86] 50.0% ------------------------------------------------------------------------ loop [50] 45.0% loop [42] 55.0% [59] 18970(48.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [81] 54.5% map [65] 45.5% ------------------------------------------------------------------------ loop [42] 3.4% loop [50] 96.6% [60] 13562(34.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ------------------------------------------------------------------------ composed [33] 24.4% best-and-tied-at-points [52] 75.6% [61] 820(2.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 75.6% eval-prog [69] 24.4% ------------------------------------------------------------------------ location-do [53] 100.0% [62] 602(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [67] 100.0% ------------------------------------------------------------------------ update-leader! [51] 100.0% [63] 578(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [68] 100.0% ------------------------------------------------------------------------ list-cartesian-product [64] 50.0% for-loop [54] 50.0% [64] 202(0.5%) 202(0.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [64] 50.0% ------------------------------------------------------------------------ f6 [6] 1.8% make-exacts* [59] 38.2% loop [60] 60.0% [65] 22592(57.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 100.0% ------------------------------------------------------------------------ errors [61] 100.0% [66] 620(1.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [84] 100.0% ------------------------------------------------------------------------ approximate9 [62] 100.0% [67] 602(1.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 66.8% make-term [72] 33.2% ------------------------------------------------------------------------ for-loop [63] 100.0% [68] 578(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [71] 100.0% ------------------------------------------------------------------------ errors [61] 100.0% [69] 200(0.5%) 200(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ for-loop [13] 3.6% ??? [18] 7.8% ??? [75] 7.8% ??? [74] 7.8% loop [67] 7.8% for-loop [12] 15.5% localize-error [24] 18.7% ??? [7] 31.2% [70] 802(2.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [78] 31.2% f6 [6] 18.7% ??? [4] 15.5% ??? [5] 11.4% ??? [74] 7.8% ??? [75] 7.8% simplify [76] 7.8% ------------------------------------------------------------------------ for-loop [68] 100.0% [71] 578(1.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [73] 100.0% ------------------------------------------------------------------------ loop [67] 100.0% [72] 200(0.5%) 0(0.0%) make-term ...lock/herbie/src/core/taylor.rkt:124:0 curry* [77] 100.0% ------------------------------------------------------------------------ hash-update! [71] 100.0% [73] 578(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [79] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [74] 402(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [75] 402(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ------------------------------------------------------------------------ hash-ref! [70] 100.0% [76] 402(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [80] 50.2% parse-loop12 [78] 49.8% ------------------------------------------------------------------------ make-term [72] 100.0% [77] 200(0.5%) 200(0.5%) curry* ...racket/collects/racket/function.rkt:44:2 ------------------------------------------------------------------------ simplify [76] 8.3% parse-loop12 [78] 25.0% hash-ref! [70] 66.7% [78] 600(1.5%) 200(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [81] 66.7% parse-loop12 [78] 25.0% ------------------------------------------------------------------------ ??? [73] 100.0% [79] 578(1.5%) 376(1.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [83] 34.9% ------------------------------------------------------------------------ simplify [76] 47.9% for-loop [28] 52.1% [80] 422(1.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [82] 100.0% ------------------------------------------------------------------------ map-enodes [25] 0.1% parse-loop12 [78] 0.1% make-exacts* [59] 0.2% loop! [86] 0.6% extract-alt [17] 1.2% map [65] 2.2% loop [81] 95.6% [81] 34600(87.7%) 178(0.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 95.6% ??? [84] 2.3% simplify [3] 1.2% loop! [86] 0.6% ??? [7] 0.1% ??? [96] 0.1% ->flonum [85] 0.0% ------------------------------------------------------------------------ debug-print [80] 100.0% [82] 422(1.1%) 422(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ for-loop [79] 100.0% [83] 202(0.5%) 202(0.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ for-loop [66] 1.9% loop [81] 98.1% [84] 32710(82.9%) 60(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 96.8% real->bigfloat [88] 2.5% ??? [97] 0.5% ------------------------------------------------------------------------ loop [81] 100.0% [85] 442(1.1%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [99] 54.3% ??? [89] 45.7% ------------------------------------------------------------------------ loop [81] 26.6% for-loop [48] 26.6% for-loop [58] 46.8% [86] 380(1.0%) 178(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [81] 26.6% set [90] 26.6% ------------------------------------------------------------------------ ??? [84] 100.0% [87] 31670(80.2%) 572(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 92.7% bf* [94] 2.6% bfcube [91] 1.4% ...higher-order.rkt:373:33 [92] 0.4% ...ow-val-first.rkt:357:18 [93] 0.4% ------------------------------------------------------------------------ ??? [84] 100.0% [88] 802(2.0%) 744(1.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [102] 7.2% ------------------------------------------------------------------------ ->flonum [85] 100.0% [89] 202(0.5%) 202(0.5%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ------------------------------------------------------------------------ loop! [86] 100.0% [90] 202(0.5%) 202(0.5%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ??? [87] 100.0% [91] 444(1.1%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [94] 100.0% ------------------------------------------------------------------------ ??? [87] 100.0% [92] 122(0.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 100.0% ------------------------------------------------------------------------ ??? [87] 100.0% [93] 118(0.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [95] 100.0% ------------------------------------------------------------------------ bfcube [91] 34.9% ??? [87] 65.1% [94] 1272(3.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [96] 100.0% ------------------------------------------------------------------------ ...ow-val-first.rkt:357:18 [93] 49.2% ...higher-order.rkt:373:33 [92] 50.8% [95] 240(0.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ------------------------------------------------------------------------ loop [81] 1.3% bf* [94] 4.1% ??? [87] 94.6% [96] 31038(78.6%) 27808(70.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfcos [98] 5.7% ??? [99] 2.8% bfmul [100] 1.9% ------------------------------------------------------------------------ ??? [84] 42.6% ??? [95] 57.4% [97] 418(1.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 100.0% ------------------------------------------------------------------------ ??? [96] 100.0% [98] 1760(4.5%) 1200(3.0%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [102] 31.8% ------------------------------------------------------------------------ ->flonum [85] 15.7% ??? [97] 27.3% ??? [96] 57.0% [99] 1532(3.9%) 414(1.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 69.3% ??? [103] 3.7% ------------------------------------------------------------------------ ??? [96] 100.0% [100] 596(1.5%) 530(1.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 11.1% ------------------------------------------------------------------------ ??? [99] 100.0% [101] 1062(2.7%) 702(1.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 33.9% ------------------------------------------------------------------------ real->bigfloat [88] 8.5% bfmul [100] 9.6% bfcos [98] 81.9% [102] 684(1.7%) 684(1.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [99] 100.0% [103] 56(0.1%) 56(0.1%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [101] 100.0% [104] 360(0.9%) 360(0.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------