Profiling results ----------------- Total cpu time observed: 20894ms (out of 21388ms) Number of samples taken: 94 (once every 222ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [21] 100.0% [1] 20482(98.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ----------------------------------------------------------------------- ??? [21] 100.0% [2] 13992(67.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 84.0% get-final-combination [6] 14.6% setup-prog [8] 1.4% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [3] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [7] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 20482(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 11752(56.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 2044(9.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [7] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [65] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 196(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ----------------------------------------------------------------------- for-loop [5] 100.0% [9] 11752(56.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 93.0% gen-series! [14] 3.5% finalize-iter! [15] 3.5% ----------------------------------------------------------------------- get-final-combination [6] 100.0% [10] 2044(9.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 100.0% ----------------------------------------------------------------------- setup-prog [8] 100.0% [11] 196(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% ----------------------------------------------------------------------- simplify-alt [11] 1.5% loop [55] 15.5% ??? [21] 83.0% [12] 13166(63.0%) 200(1.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 66.0% for-loop [18] 26.3% iterate-egraph!5 [22] 6.2% ----------------------------------------------------------------------- run-iter! [9] 100.0% [13] 10926(52.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [14] 416(2.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [15] 410(2.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% ----------------------------------------------------------------------- simplify! [13] 100.0% [16] 10926(52.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [21] 100.0% ----------------------------------------------------------------------- simplify [12] 100.0% [17] 8686(41.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 93.0% loop [23] 7.0% ----------------------------------------------------------------------- simplify [12] 100.0% [18] 3464(16.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 100.0% ----------------------------------------------------------------------- gen-series! [14] 100.0% [19] 416(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ----------------------------------------------------------------------- finalize-iter! [15] 100.0% [20] 410(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 100.0% ----------------------------------------------------------------------- for-loop [16] 17.8% run [4] 40.6% [21] 20894(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.6% run-improve58 [2] 25.1% simplify [12] 17.8% loop [27] 16.5% ----------------------------------------------------------------------- simplify [12] 6.6% for-loop [18] 28.0% simplify-expr [17] 65.4% [22] 12358(59.1%) 200(1.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 95.0% map-enodes [29] 3.4% ----------------------------------------------------------------------- simplify-expr [17] 100.0% [23] 608(2.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [28] 100.0% ----------------------------------------------------------------------- for-loop [19] 100.0% [24] 416(2.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [30] 100.0% ----------------------------------------------------------------------- ??? [20] 100.0% [25] 410(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [26] 11740(56.2%) 412(2.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 56.1% loop [33] 35.0% apply-match [39] 5.4% ----------------------------------------------------------------------- ??? [21] 100.0% [27] 6902(33.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [38] 58.3% loop [34] 41.7% ----------------------------------------------------------------------- loop [23] 100.0% [28] 608(2.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [35] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [29] 418(2.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [55] 100.0% ----------------------------------------------------------------------- taylor-alt [24] 100.0% [30] 416(2.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [36] 100.0% ----------------------------------------------------------------------- for-loop [25] 100.0% [31] 410(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [37] 100.0% ----------------------------------------------------------------------- for-loop [32] 50.0% one-iter [26] 50.0% [32] 6582(31.5%) 1206(5.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [46] 40.8% ----------------------------------------------------------------------- one-iter [26] 100.0% [33] 4110(19.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ----------------------------------------------------------------------- loop [27] 100.0% [34] 2878(13.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [40] 67.9% make-exacts* [38] 32.1% ----------------------------------------------------------------------- pass [28] 100.0% [35] 608(2.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [43] 34.5% loop [44] 32.9% argmin [45] 32.6% ----------------------------------------------------------------------- location-do [36] 23.8% for-loop [30] 76.2% [36] 416(2.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [41] 76.2% location-do [36] 23.8% ----------------------------------------------------------------------- atab-add-altn [31] 100.0% [37] 410(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [42] 100.0% ----------------------------------------------------------------------- loop [34] 18.7% loop [27] 81.3% [38] 4948(23.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [55] 61.1% map [47] 38.9% ----------------------------------------------------------------------- one-iter [26] 13.4% loop [33] 86.6% [39] 4746(22.7%) 220(1.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [57] 52.7% match-e [46] 17.0% loop! [64] 8.5% reduce-to-single! [49] 4.5% mk-enode! [58] 4.2% substitute-e [51] 4.2% for-loop [52] 4.2% ----------------------------------------------------------------------- loop [34] 100.0% [40] 1954(9.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [47] 100.0% ----------------------------------------------------------------------- location-do [36] 100.0% [41] 416(2.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [48] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [42] 410(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [50] 51.7% for-loop [53] 48.3% ----------------------------------------------------------------------- for-loop [35] 100.0% [43] 210(1.0%) 210(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- for-loop [35] 100.0% [44] 200(1.0%) 200(1.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 ----------------------------------------------------------------------- for-loop [35] 100.0% [45] 198(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [54] 100.0% ----------------------------------------------------------------------- apply-match [39] 6.5% for-loop [62] 10.1% for-loop [32] 83.4% [46] 6184(29.6%) 2690(12.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [56] 48.7% for-loop [62] 11.4% loop [55] 3.2% ----------------------------------------------------------------------- make-exacts* [38] 49.6% loop [40] 50.4% [47] 3878(18.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 100.0% ----------------------------------------------------------------------- approximate9 [41] 100.0% [48] 416(2.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ----------------------------------------------------------------------- apply-match [39] 100.0% [49] 214(1.0%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [59] 100.0% ----------------------------------------------------------------------- errors [42] 100.0% [50] 212(1.0%) 212(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- apply-match [39] 100.0% [51] 200(1.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [58] 100.0% ----------------------------------------------------------------------- apply-match [39] 100.0% [52] 200(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [57] 100.0% ----------------------------------------------------------------------- errors [42] 100.0% [53] 198(0.9%) 198(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- argmin [45] 100.0% [54] 198(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [60] 100.0% ----------------------------------------------------------------------- make-exacts* [38] 0.1% ??? [61] 0.1% map-enodes [29] 0.5% map [47] 0.8% match-e [46] 2.0% loop! [64] 3.0% extract-alt [10] 10.8% loop [55] 82.7% [55] 9776(46.8%) 198(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 82.7% simplify [12] 10.8% loop! [64] 3.0% ??? [61] 0.9% for-loop [67] 0.5% ??? [94] 0.1% real->bigfloat [70] 0.0% ----------------------------------------------------------------------- match-e [46] 100.0% [56] 3336(16.0%) 2064(9.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [62] 35.1% list-cartesian-product [68] 3.0% ----------------------------------------------------------------------- for-loop [52] 7.4% for-loop [66] 9.8% apply-match [39] 82.8% [57] 2700(12.9%) 220(1.1%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [63] 56.9% loop! [64] 17.8% for-loop [66] 9.8% for-loop [69] 7.4% ----------------------------------------------------------------------- substitute-e [51] 50.0% apply-match [39] 50.0% [58] 400(1.9%) 400(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- reduce-to-single! [49] 100.0% [59] 214(1.0%) 214(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------- expression-cost [54] 100.0% [60] 198(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [65] 100.0% ----------------------------------------------------------------------- loop [55] 100.0% [61] 6902(33.0%) 228(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 36.5% real->bigfloat [70] 34.1% loop [55] 22.4% ??? [94] 3.7% ----------------------------------------------------------------------- match-e [46] 38.8% for-loop [56] 61.2% [62] 2078(9.9%) 830(4.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 55.3% ??? [79] 9.6% ----------------------------------------------------------------------- merge-egraph-nodes! [57] 100.0% [63] 1646(7.9%) 422(2.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [73] 25.6% update-en-expr [98] 24.4% custom-set-union! [80] 12.2% make-sequence [81] 12.2% ----------------------------------------------------------------------- apply-match [39] 19.5% loop [55] 30.5% merge-egraph-nodes! [57] 50.0% [64] 1038(5.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [75] 38.9% loop [55] 30.5% set [72] 20.8% update-en-expr [98] 9.7% ----------------------------------------------------------------------- ??? [77] 3.9% for-loop [7] 11.8% ??? [78] 15.8% ??? [82] 16.1% compile [60] 16.1% loop [48] 36.2% [65] 614(2.9%) 198(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [74] 36.2% ??? [82] 16.1% ??? [78] 15.8% ??? [3] 11.8% ??? [77] 3.9% ----------------------------------------------------------------------- merge-egraph-nodes! [57] 100.0% [66] 450(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [57] 100.0% ----------------------------------------------------------------------- loop [55] 100.0% [67] 418(2.0%) 200(1.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [76] 52.2% ----------------------------------------------------------------------- for-loop [56] 100.0% [68] 202(1.0%) 202(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- merge-egraph-nodes! [57] 100.0% [69] 200(1.0%) 200(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------- loop [55] 35.8% ??? [61] 64.2% [70] 3664(17.5%) 2946(14.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 19.6% ----------------------------------------------------------------------- ??? [61] 100.0% [71] 2518(12.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [83] 90.0% ...higher-order.rkt:373:33 [86] 10.0% ----------------------------------------------------------------------- loop! [64] 100.0% [72] 432(2.1%) 432(2.1%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- update-leader! [63] 100.0% [73] 422(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [84] 100.0% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [74] 416(2.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [87] 52.4% debug7 [88] 47.6% ----------------------------------------------------------------------- loop! [64] 100.0% [75] 404(1.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [85] 100.0% ----------------------------------------------------------------------- for-loop [67] 100.0% [76] 218(1.0%) 218(1.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- hash-ref! [65] 100.0% [77] 218(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [65] 100.0% ----------------------------------------------------------------------- hash-ref! [65] 100.0% [78] 218(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% ----------------------------------------------------------------------- for-loop [62] 100.0% [79] 200(1.0%) 200(1.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- update-leader! [63] 100.0% [80] 200(1.0%) 200(1.0%) custom-set-union! ...t/private/set-types.rkt:246:0 ----------------------------------------------------------------------- update-leader! [63] 100.0% [81] 200(1.0%) 200(1.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- hash-ref! [65] 100.0% [82] 198(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [65] 100.0% ----------------------------------------------------------------------- ??? [71] 100.0% [83] 2266(10.8%) 238(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [89] 78.6% ??? [96] 10.9% ----------------------------------------------------------------------- for-loop [73] 100.0% [84] 422(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [90] 100.0% ----------------------------------------------------------------------- custom-set-union [75] 100.0% [85] 404(1.9%) 202(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [92] 50.0% ----------------------------------------------------------------------- ??? [71] 100.0% [86] 252(1.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ----------------------------------------------------------------------- simplify [74] 100.0% [87] 218(1.0%) 218(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 ----------------------------------------------------------------------- simplify [74] 100.0% [88] 198(0.9%) 198(0.9%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- ??? [83] 100.0% [89] 1782(8.5%) 946(4.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 46.9% ----------------------------------------------------------------------- for-loop [84] 100.0% [90] 422(2.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [95] 100.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [86]100.0% [91] 252(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- for-loop [85] 100.0% [92] 202(1.0%) 202(1.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- real->bigfloat [70] 46.2% bfadd [89] 53.8% [93] 1554(7.4%) 1554(7.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- loop [55] 31.7% ??? [91] 33.9% ??? [61] 34.4% [94] 744(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ----------------------------------------------------------------------- hash-update! [90] 100.0% [95] 422(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [97] 100.0% ----------------------------------------------------------------------- ??? [83] 24.8% ??? [94] 75.2% [96] 990(4.7%) 252(1.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 74.5% ----------------------------------------------------------------------- ??? [95] 100.0% [97] 422(2.0%) 220(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [98] 47.9% ----------------------------------------------------------------------- loop! [64] 25.1% for-loop [97] 25.1% update-leader! [63] 49.9% [98] 806(3.9%) 806(3.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- ??? [96] 100.0% [99] 738(3.5%) 492(2.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 33.3% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 246(1.2%) 246(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------