Profiling results ----------------- Total cpu time observed: 16484ms (out of 16700ms) Number of samples taken: 70 (once every 235ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [35] 100.0% [1] 16030(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [35] 100.0% [2] 11288(68.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 96.5% get-final-combination [15] 3.5% ----------------------------------------------------------------------- loop [88] 4.8% ??? [35] 95.2% [3] 8260(50.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 44.9% iterate-egraph!5 [18] 29.9% for-loop [11] 22.7% loop [16] 2.5% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [4] 1002(6.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [12] 100.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [5] 802(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [6] 802(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ----------------------------------------------------------------------- loop [88] 100.0% [7] 224(1.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [73] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.6% [8] 16262(98.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 10888(66.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 3710(22.5%) 200(1.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 94.6% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 1872(11.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 1002(6.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [73] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 802(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 802(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [73] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 400(2.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [20] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [16] 208(1.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [17] 10888(66.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 72.2% gen-series! [24] 14.7% finalize-iter! [25] 9.2% localize-error [26] 2.1% choose-best-alt! [28] 1.8% ----------------------------------------------------------------------- for-loop [11] 23.8% simplify [3] 31.5% simplify-expr [10] 44.7% [18] 7852(47.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 100.0% ----------------------------------------------------------------------- for-loop [13] 100.0% [19] 802(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [73] 100.0% ----------------------------------------------------------------------- get-final-combination [15] 100.0% [20] 400(2.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [88] 100.0% ----------------------------------------------------------------------- loop [16] 100.0% [21] 208(1.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [22] 7860(47.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [23] 7852(47.6%) 218(1.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 61.9% loop [31] 35.3% ----------------------------------------------------------------------- run-iter! [17] 100.0% [24] 1604(9.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [25] 1000(6.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [26] 224(1.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ----------------------------------------------------------------------- pass [21] 100.0% [27] 208(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [34] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [28] 200(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [33] 100.0% ----------------------------------------------------------------------- simplify! [22] 100.0% [29] 7860(47.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ----------------------------------------------------------------------- for-loop [30] 50.0% one-iter [23] 50.0% [30] 4864(29.5%) 400(2.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 50.0% match-e [42] 45.9% ----------------------------------------------------------------------- one-iter [23] 100.0% [31] 2770(16.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ----------------------------------------------------------------------- gen-series! [24] 100.0% [32] 1604(9.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ----------------------------------------------------------------------- choose-best-alt! [28] 16.7% finalize-iter! [25] 83.3% [33] 1200(7.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 83.3% atab-pick-alt8 [40] 16.7% ----------------------------------------------------------------------- for-loop [27] 100.0% [34] 208(1.3%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [39] 100.0% ----------------------------------------------------------------------- for-loop [29] 16.1% run [8] 42.3% [35] 16484(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.9% run-improve58 [2] 26.5% loop [41] 16.5% simplify [3] 16.1% ----------------------------------------------------------------------- loop [31] 100.0% [36] 2770(16.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [44] 55.7% match-e [42] 15.3% substitute-e [46] 14.5% update-leader! [52] 7.3% for-loop [49] 7.2% ----------------------------------------------------------------------- for-loop [32] 100.0% [37] 1604(9.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [38] 1000(6.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% ----------------------------------------------------------------------- loop [34] 100.0% [39] 208(1.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [40] 200(1.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [48] 100.0% ----------------------------------------------------------------------- ??? [35] 100.0% [41] 5196(31.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [59] 53.2% loop [51] 42.3% filter-points [55] 4.5% ----------------------------------------------------------------------- apply-match [36] 6.6% for-loop [60] 16.1% for-loop [30] 77.3% [42] 4888(29.7%) 1836(11.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 53.8% for-loop [60] 8.2% constant? [56] 4.5% ----------------------------------------------------------------------- taylor-alt [37] 100.0% [43] 1604(9.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ----------------------------------------------------------------------- apply-match [36] 100.0% [44] 1542(9.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [52] 100.0% ----------------------------------------------------------------------- for-loop [38] 100.0% [45] 1000(6.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54] 100.0% ----------------------------------------------------------------------- substitute-e [46] 33.2% apply-match [36] 66.8% [46] 402(2.4%) 200(1.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [57] 50.2% substitute-e [46] 33.2% ----------------------------------------------------------------------- expression-cost [39] 100.0% [47] 208(1.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [73] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [40] 100.0% [48] 200(1.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [58] 100.0% ----------------------------------------------------------------------- apply-match [36] 100.0% [49] 200(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [90] 100.0% ----------------------------------------------------------------------- match-e [42] 100.0% [50] 2632(16.0%) 1766(10.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [60] 30.5% list-cartesian-product [64] 16.5% ----------------------------------------------------------------------- loop [41] 100.0% [51] 2200(13.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 55.2% make-exacts* [59] 34.8% eval-prog [79] 10.0% ----------------------------------------------------------------------- apply-match [36] 11.6% merge-egraph-nodes! [44] 88.4% [52] 1744(10.6%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 100.0% ----------------------------------------------------------------------- for-loop [43] 41.7% location-do [53] 58.3% [53] 1604(9.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [53] 58.3% approximate9 [62] 41.7% ----------------------------------------------------------------------- atab-add-altn [45] 100.0% [54] 1000(6.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [75] 60.0% for-loop [65] 40.0% ----------------------------------------------------------------------- loop [41] 100.0% [55] 232(1.4%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [66] 100.0% ----------------------------------------------------------------------- match-e [42] 100.0% [56] 220(1.3%) 220(1.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- substitute-e [46] 100.0% [57] 202(1.2%) 202(1.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- ??? [48] 100.0% [58] 200(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [67] 100.0% ----------------------------------------------------------------------- loop [51] 21.7% loop [41] 78.3% [59] 3530(21.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [88] 59.4% map [85] 40.6% ----------------------------------------------------------------------- match-e [42] 30.4% for-loop [50] 69.6% [60] 1990(12.1%) 200(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [42] 78.9% ??? [70] 11.1% ----------------------------------------------------------------------- update-leader! [52] 100.0% [61] 1744(10.6%) 200(1.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [69] 88.5% ----------------------------------------------------------------------- location-do [53] 100.0% [62] 1604(9.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [68] 100.0% ----------------------------------------------------------------------- loop [51] 100.0% [63] 1214(7.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [85] 100.0% ----------------------------------------------------------------------- list-cartesian-product [64] 32.8% for-loop [50] 67.2% [64] 646(3.9%) 444(2.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [64] 32.8% for-loop [71] 15.6% ----------------------------------------------------------------------- best-and-tied-at-points [54] 100.0% [65] 400(2.4%) 400(2.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- filter-points [55] 100.0% [66] 232(1.4%) 232(1.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ----------------------------------------------------------------------- best-alt [58] 100.0% [67] 200(1.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [72] 100.0% ----------------------------------------------------------------------- approximate9 [62] 100.0% [68] 1604(9.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ----------------------------------------------------------------------- for-loop [61] 100.0% [69] 1544(9.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [74] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [70] 220(1.3%) 220(1.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- list-cartesian-product [64] 100.0% [71] 202(1.2%) 202(1.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- loop [67] 100.0% [72] 200(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [75] 100.0% ----------------------------------------------------------------------- ??? [7] 5.5% localize-error [26] 5.5% for-loop [14] 8.9% for-loop [19] 8.9% compile [47] 10.2% for-loop [12] 13.8% ??? [76] 23.6% loop [68] 23.6% [73] 2036(12.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [76] 23.6% simplify [77] 23.6% ??? [4] 13.8% parse-loop12 [86] 11.0% ??? [81] 10.2% ??? [6] 8.9% ??? [5] 8.9% ----------------------------------------------------------------------- for-loop [69] 100.0% [74] 1544(9.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [78] 100.0% ----------------------------------------------------------------------- composed [72] 25.0% best-and-tied-at-points [54] 75.0% [75] 800(4.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [80] 50.0% eval-prog [79] 50.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [76] 1604(9.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [77] 1604(9.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [86] 50.0% f37 [83] 50.0% ----------------------------------------------------------------------- hash-update! [74] 100.0% [78] 1544(9.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [82] 100.0% ----------------------------------------------------------------------- loop [51] 35.5% errors [75] 64.5% [79] 620(3.8%) 420(2.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 parse-lambda [84] 32.3% ----------------------------------------------------------------------- errors [75] 100.0% [80] 400(2.4%) 200(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [89] 50.0% ----------------------------------------------------------------------- hash-ref! [73] 100.0% [81] 208(1.3%) 208(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 ----------------------------------------------------------------------- ??? [78] 100.0% [82] 1544(9.4%) 1544(9.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- map [85] 21.0% loop [88] 37.4% simplify [77] 41.6% [83] 802(4.9%) 200(1.2%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [85] 87.5% ----------------------------------------------------------------------- eval-prog [79] 100.0% [84] 200(1.2%) 200(1.2%) parse-lambda ...llects/racket/private/kw.rkt:393:2 ----------------------------------------------------------------------- parse-loop12 [86] 2.8% f37 [83] 20.5% loop [63] 35.2% make-exacts* [59] 41.6% [85] 3450(20.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [88] 78.7% parse-loop12 [86] 16.3% f37 [83] 4.2% simplify-node [87] 0.8% ----------------------------------------------------------------------- hash-ref! [73] 12.3% simplify [77] 19.2% parse-loop12 [86] 24.7% map [85] 43.9% [86] 1828(11.1%) 1202(7.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [88] 28.7% parse-loop12 [86] 24.7% map [85] 16.5% ----------------------------------------------------------------------- map [85] 100.0% [87] 202(1.2%) 202(1.2%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 ----------------------------------------------------------------------- make-exacts* [59] 0.1% loop! [90] 3.2% map [85] 3.5% parse-loop12 [86] 3.5% extract-alt [20] 4.9% loop [88] 84.8% [88] 6168(37.4%) 246(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [88] 84.8% f37 [83] 6.5% simplify [3] 4.9% loop! [90] 3.2% ??? [89] 0.3% ??? [7] 0.1% ??? [94] 0.1% ----------------------------------------------------------------------- for-loop [80] 4.3% loop [88] 95.7% [89] 4698(28.5%) 216(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [91] 84.5% real->bigfloat [92] 10.9% ----------------------------------------------------------------------- loop [88] 50.0% for-loop [49] 50.0% [90] 200(1.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [88] 50.0% set [93] 50.0% ----------------------------------------------------------------------- ??? [89] 100.0% [91] 3968(24.1%) 474(2.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [94] 66.8% ...higher-order.rkt:373:33 [95] 21.2% ----------------------------------------------------------------------- ??? [89] 100.0% [92] 514(3.1%) 514(3.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- loop! [90] 100.0% [93] 200(1.2%) 200(1.2%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- loop [88] 7.8% ??? [91] 92.2% [94] 2876(17.4%) 240(1.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [96] 91.7% ----------------------------------------------------------------------- ??? [91] 100.0% [95] 842(5.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [98] 66.3% ??? [97] 33.7% ----------------------------------------------------------------------- ??? [94] 100.0% [96] 2636(16.0%) 2120(12.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 19.6% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [95]100.0% [97] 284(1.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ----------------------------------------------------------------------- ??? [97] 33.7% ...higher-order.rkt:373:33 [95] 66.3% [98] 842(5.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ----------------------------------------------------------------------- bfdiv [96] 100.0% [99] 516(3.1%) 516(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [98] 100.0% [100] 842(5.1%) 294(1.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 65.1% ----------------------------------------------------------------------- ??? [100] 100.0% [101] 548(3.3%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 100.0% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 548(3.3%) 548(3.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------