Profiling results ----------------- Total cpu time observed: 14196ms (out of 14052ms) Number of samples taken: 59 (once every 241ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [38] 100.0% [1] 13374(94.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [38] 100.0% [2] 6052(42.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 76.8% finalize-table! [12] 19.8% get-final-combination [15] 3.3% ----------------------------------------------------------------------- loop [69] 4.7% ??? [38] 95.3% [3] 4256(30.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 66.9% for-loop [13] 23.6% iterate-egraph!5 [19] 9.4% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [4] 400(2.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [16] 50.0% hash-ref! [70] 50.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [5] 400(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [6] 200(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [17] 100.0% ----------------------------------------------------------------------- f37 [83] 100.0% [7] 200(1.4%) 0(0.0%) taylor-log ...ock/herbie/src/core/taylor.rkt:476:0 simplify [74] 100.0% ----------------------------------------------------------------------- f37 [83] 100.0% [8] 196(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [18] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 13374(94.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [38] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 4650(32.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [77] 12.3% simplify [3] 87.7% [11] 3248(22.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 1200(8.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [21] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 1006(7.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 400(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [70] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 202(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [16] 200(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [70] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [17] 200(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% ----------------------------------------------------------------------- taylor-invert [8] 100.0% [18] 196(1.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [74] 100.0% ----------------------------------------------------------------------- simplify [3] 8.6% for-loop [13] 21.6% simplify-expr [11] 69.8% [19] 4656(32.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 95.7% debug7 [28] 4.3% ----------------------------------------------------------------------- for-loop [10] 100.0% [20] 4650(32.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 87.2% gen-series! [26] 8.5% finalize-iter! [29] 4.3% ----------------------------------------------------------------------- finalize-table! [12] 100.0% [21] 1200(8.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [25] 50.0% loop [69] 33.3% localize-error [27] 16.7% ----------------------------------------------------------------------- get-final-combination [15] 100.0% [22] 202(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [23] 4456(31.4%) 202(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [31] 73.0% loop [32] 18.0% apply-match [40] 4.5% ----------------------------------------------------------------------- run-iter! [20] 100.0% [24] 4054(28.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% ----------------------------------------------------------------------- post-process [21] 100.0% [25] 600(4.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% ----------------------------------------------------------------------- run-iter! [20] 100.0% [26] 396(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% ----------------------------------------------------------------------- post-process [21] 100.0% [27] 200(1.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [35] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [28] 200(1.4%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [36] 100.0% ----------------------------------------------------------------------- run-iter! [20] 100.0% [29] 200(1.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ----------------------------------------------------------------------- simplify! [24] 100.0% [30] 4054(28.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [38] 100.0% ----------------------------------------------------------------------- for-loop [31] 46.9% one-iter [23] 53.1% [31] 3252(22.9%) 806(5.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 46.9% match-e [39] 37.6% ----------------------------------------------------------------------- one-iter [23] 100.0% [32] 802(5.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ----------------------------------------------------------------------- f37 [83] 22.2% for-loop [25] 77.8% [33] 600(4.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [41] 77.8% f37 [83] 11.1% free-variables [43] 11.1% ----------------------------------------------------------------------- gen-series! [26] 100.0% [34] 396(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [41] 100.0% ----------------------------------------------------------------------- localize-error [27] 100.0% [35] 200(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:49:34 ??? [42] 100.0% ----------------------------------------------------------------------- debug7 [28] 100.0% [36] 200(1.4%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [84] 100.0% ----------------------------------------------------------------------- finalize-iter! [29] 100.0% [37] 200(1.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [44] 100.0% ----------------------------------------------------------------------- for-loop [30] 10.0% run [9] 42.8% [38] 14196(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.8% loop [45] 29.4% run-improve58 [2] 17.8% simplify [3] 10.0% ----------------------------------------------------------------------- for-loop [49] 8.2% for-loop [31] 91.8% [39] 2446(17.2%) 1624(11.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 loop [69] 9.1% for-loop [51] 8.2% list-cartesian-product [52] 8.2% for-loop [49] 8.2% custom-in-set [50] 4.1% ----------------------------------------------------------------------- one-iter [23] 20.0% loop [32] 80.0% [40] 1002(7.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [47] 60.1% reduce-to-single! [48] 39.9% ----------------------------------------------------------------------- for-loop [34] 39.8% append-map [33] 60.2% [41] 996(7.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [46] 100.0% ----------------------------------------------------------------------- for-loop [35] 100.0% [42] 200(1.4%) 200(1.4%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- append-map [33] 100.0% [43] 200(1.4%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [53] 100.0% ----------------------------------------------------------------------- ??? [37] 100.0% [44] 200(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [54] 100.0% ----------------------------------------------------------------------- ??? [38] 100.0% [45] 8144(57.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [55] 47.8% make-exacts* [60] 44.2% loop [61] 8.0% ----------------------------------------------------------------------- taylor-alt [41] 100.0% [46] 996(7.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [56] 100.0% ----------------------------------------------------------------------- apply-match [40] 100.0% [47] 602(4.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [57] 100.0% ----------------------------------------------------------------------- apply-match [40] 100.0% [48] 400(2.8%) 200(1.4%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [58] 50.0% ----------------------------------------------------------------------- match-e [39] 100.0% [49] 400(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 100.0% ----------------------------------------------------------------------- match-e [39] 100.0% [50] 200(1.4%) 200(1.4%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- match-e [39] 100.0% [51] 200(1.4%) 200(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ----------------------------------------------------------------------- list-cartesian-product [52] 50.0% match-e [39] 50.0% [52] 200(1.4%) 200(1.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [52] 50.0% ----------------------------------------------------------------------- free-variables [43] 100.0% [53] 200(1.4%) 200(1.4%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- for-loop [44] 100.0% [54] 200(1.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [59] 100.0% ----------------------------------------------------------------------- loop [45] 100.0% [55] 3894(27.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [60] 58.2% loop [61] 41.8% ----------------------------------------------------------------------- for-loop [46] 100.0% [56] 996(7.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [62] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [57] 602(4.2%) 202(1.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [63] 66.4% ----------------------------------------------------------------------- reduce-to-single! [48] 100.0% [58] 200(1.4%) 200(1.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------- atab-add-altn [54] 100.0% [59] 200(1.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% ----------------------------------------------------------------------- loop [55] 38.6% loop [45] 61.4% [60] 5864(41.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 58.0% loop [69] 42.0% ----------------------------------------------------------------------- loop [45] 28.6% loop [55] 71.4% [61] 2280(16.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ----------------------------------------------------------------------- location-do [56] 100.0% [62] 996(7.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [66] 60.2% f37 [83] 39.8% ----------------------------------------------------------------------- update-leader! [57] 100.0% [63] 400(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [59] 100.0% [64] 200(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 100.0% ----------------------------------------------------------------------- f37 [83] 14.9% loop [61] 34.1% make-exacts* [60] 51.0% [65] 6680(47.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 85.1% f37 [83] 13.9% make-multiplication-node [72] 1.0% ----------------------------------------------------------------------- approximate9 [62] 100.0% [66] 600(4.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ----------------------------------------------------------------------- for-loop [63] 100.0% [67] 400(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [71] 100.0% ----------------------------------------------------------------------- errors [64] 100.0% [68] 200(1.4%) 200(1.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- ??? [73] 0.0% make-exacts* [60] 0.1% f37 [83] 2.2% extract-alt [22] 2.2% match-e [39] 2.4% post-process [21] 2.4% map [65] 4.8% loop [69] 85.9% [69] 9168(64.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 85.9% ??? [73] 4.8% completely-simplify-alt [77] 2.4% foldl [78] 2.4% simplify [3] 2.2% simplify [74] 2.2% real->bigfloat [81] 0.0% ----------------------------------------------------------------------- ??? [80] 3.7% ??? [4] 3.7% ??? [16] 6.7% for-loop [17] 7.4% for-loop [14] 10.4% loop [66] 27.0% ??? [75] 41.1% [70] 600(4.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [75] 41.1% f37 [83] 16.7% ??? [4] 10.4% ??? [5] 10.4% simplify [74] 10.4% ??? [6] 7.4% ??? [80] 3.7% ----------------------------------------------------------------------- for-loop [67] 100.0% [71] 400(2.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [76] 100.0% ----------------------------------------------------------------------- map [65] 100.0% [72] 200(1.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [79]100.0% ----------------------------------------------------------------------- loop [69] 100.0% [73] 8144(57.4%) 268(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [81] 36.6% ??? [82] 33.3% loop [69] 11.8% ??? [84] 9.2% ...e/case-arrow.rkt:150:50 [85] 5.8% ----------------------------------------------------------------------- first-nonzero-exp [18] 19.7% loop [69] 20.1% taylor-log [7] 20.1% hash-ref! [70] 40.2% [74] 996(7.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [83] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 600(4.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-update! [71] 100.0% [76] 400(2.8%) 198(1.4%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 50.5% ----------------------------------------------------------------------- loop [69] 100.0% [77] 400(2.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ----------------------------------------------------------------------- loop [69] 100.0% [78] 222(1.6%) 222(1.6%) foldl ...et/collects/racket/private/list.rkt:229:4 ----------------------------------------------------------------------- make-multiplication-node [72] 100.0% [79] 200(1.4%) 200(1.4%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- hash-ref! [70] 100.0% [80] 200(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [70] 100.0% ----------------------------------------------------------------------- loop [69] 24.4% ??? [73] 75.6% [81] 3944(27.8%) 3724(26.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 5.6% ----------------------------------------------------------------------- ??? [73] 100.0% [82] 2712(19.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [87] 65.7% ??? [90] 34.3% ----------------------------------------------------------------------- hash-ref! [70] 3.3% append-map [33] 5.0% composed [89] 5.0% approximate9 [62] 9.1% f37 [83] 14.2% simplify [74] 24.1% map [65] 39.2% [83] 996(7.0%) 196(1.4%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 42.5% f37 [83] 14.2% append-map [33] 10.0% gather-multiplicative-terms [88] 9.2% taylor-invert [8] 6.6% composed [89] 5.0% taylor-log [7] 3.3% loop [69] 2.5% ----------------------------------------------------------------------- ??? [36] 21.1% ??? [73] 78.9% [84] 948(6.7%) 200(1.4%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 78.9% ----------------------------------------------------------------------- ??? [73] 100.0% [85] 472(3.3%) 472(3.3%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- ??? [76] 100.0% [86] 202(1.4%) 202(1.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- ??? [82] 100.0% [87] 1782(12.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ----------------------------------------------------------------------- f37 [83] 100.0% [88] 400(2.8%) 400(2.8%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- f37 [83] 100.0% [89] 200(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [83] 100.0% ----------------------------------------------------------------------- ??? [82] 34.3% bf* [87] 65.7% [90] 2712(19.1%) 234(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 57.5% ??? [91] 33.8% ----------------------------------------------------------------------- ??? [84] 44.9% ??? [90] 55.1% [91] 1666(11.7%) 1412(9.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [94] 15.2% ----------------------------------------------------------------------- ??? [90] 100.0% [92] 1560(11.0%) 444(3.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 71.5% ----------------------------------------------------------------------- real->bigfloat [81] 16.5% bfmul [92] 83.5% [93] 1336(9.4%) 1336(9.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [91] 100.0% [94] 254(1.8%) 254(1.8%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -----------------------------------------------------------------------