Profiling results ----------------- Total cpu time observed: 20014ms (out of 19892ms) Number of samples taken: 79 (once every 253ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 97 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [39] 100.0% [1] 19076(95.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% --------------------------------------------------------------------- ??? [39] 100.0% [2] 8202(41.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [11] 57.2% for-loop [12] 37.9% loop [46] 2.5% get-final-combination [17] 2.4% --------------------------------------------------------------------- ??? [39] 100.0% [3] 2106(10.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [19] 54.8% simplify-expr [13] 45.2% --------------------------------------------------------------------- post-process [18] 12.1% loop [72] 87.9% [4] 1652(8.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [13] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [5] 604(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% --------------------------------------------------------------------- f37 [71] 100.0% [6] 202(1.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [65] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [7] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [16] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [8] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% --------------------------------------------------------------------- loop [72] 100.0% [9] 200(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [63] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 19076(95.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 4694(23.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 3106(15.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% --------------------------------------------------------------------- simplify [3] 36.6% completely-simplify-alt [4] 63.4% [13] 2604(13.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [14] 604(3.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [21] 100.0% --------------------------------------------------------------------- ??? [8] 100.0% [15] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [22] 100.0% --------------------------------------------------------------------- ??? [7] 100.0% [16] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [69] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 198(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [23] 100.0% --------------------------------------------------------------------- finalize-table! [11] 100.0% [18] 4694(23.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [25] 51.5% loop [72] 35.2% ??? [35] 9.1% completely-simplify-alt [4] 4.3% --------------------------------------------------------------------- simplify [3] 30.7% simplify-expr [13] 69.3% [19] 3758(18.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 77.8% map-enodes [27] 16.9% debug7 [30] 5.3% --------------------------------------------------------------------- for-loop [12] 100.0% [20] 3106(15.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 67.8% gen-series! [28] 19.3% finalize-iter! [29] 12.9% --------------------------------------------------------------------- for-loop [14] 100.0% [21] 604(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [63] 100.0% --------------------------------------------------------------------- for-loop [15] 100.0% [22] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [63] 100.0% --------------------------------------------------------------------- get-final-combination [17] 100.0% [23] 198(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [31] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [24] 2922(14.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 100.0% --------------------------------------------------------------------- post-process [18] 100.0% [25] 2416(12.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [26] 2106(10.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [34] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [27] 636(3.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [72] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [28] 600(3.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [29] 400(2.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [30] 200(1.0%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [38] 100.0% --------------------------------------------------------------------- extract-alt [23] 100.0% [31] 198(1.0%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [37] 100.0% --------------------------------------------------------------------- for-loop [32] 50.0% one-iter [24] 50.0% [32] 2922(14.6%) 598(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [41] 39.8% --------------------------------------------------------------------- f37 [71] 6.3% for-loop [25] 93.7% [33] 2416(12.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [40] 77.1% loop [72] 16.6% f37 [71] 4.2% free-variables [44] 2.1% --------------------------------------------------------------------- simplify! [26] 100.0% [34] 2106(10.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% --------------------------------------------------------------------- finalize-iter! [29] 48.4% post-process [18] 51.6% [35] 826(4.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 73.4% atab-add-altns [43] 26.6% --------------------------------------------------------------------- gen-series! [28] 100.0% [36] 600(3.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [40] 100.0% --------------------------------------------------------------------- loop [31] 49.5% f37 [71] 50.5% [37] 400(2.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [71] 50.5% errors [58] 49.5% --------------------------------------------------------------------- debug7 [30] 100.0% [38] 200(1.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [45] 100.0% --------------------------------------------------------------------- for-loop [34] 3.6% run [10] 47.1% [39] 19526(97.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.1% loop [46] 29.6% run-improve58 [2] 19.8% simplify [3] 3.6% --------------------------------------------------------------------- loop [72] 13.3% for-loop [36] 19.9% append-map [33] 66.8% [40] 3016(15.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% --------------------------------------------------------------------- for-loop [32] 100.0% [41] 2324(11.6%) 1570(7.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 32.4% --------------------------------------------------------------------- ??? [35] 100.0% [42] 606(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% --------------------------------------------------------------------- ??? [35] 100.0% [43] 220(1.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [48] 100.0% --------------------------------------------------------------------- append-map [33] 100.0% [44] 202(1.0%) 202(1.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 --------------------------------------------------------------------- ??? [38] 100.0% [45] 200(1.0%) 200(1.0%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 --------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [39] 98.2% [46] 11528(57.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [50] 57.5% make-exacts* [55] 29.7% loop [56] 12.8% --------------------------------------------------------------------- taylor-alt [40] 100.0% [47] 3016(15.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [51] 100.0% --------------------------------------------------------------------- atab-add-altns [43] 26.6% for-loop [42] 73.4% [48] 826(4.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52] 73.4% override-at-pnts [54] 26.6% --------------------------------------------------------------------- match-e [41] 100.0% [49] 754(3.8%) 200(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [53] 73.5% --------------------------------------------------------------------- loop [46] 100.0% [50] 6632(33.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 49.8% make-exacts* [55] 25.4% eval-prog [61] 24.8% --------------------------------------------------------------------- location-do [51] 41.1% for-loop [47] 58.9% [51] 3016(15.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [57] 58.9% location-do [51] 41.1% --------------------------------------------------------------------- atab-add-altn [48] 100.0% [52] 606(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [58] 100.0% --------------------------------------------------------------------- list-cartesian-product [53] 50.0% for-loop [49] 50.0% [53] 554(2.8%) 554(2.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [53] 50.0% --------------------------------------------------------------------- atab-add-altn [48] 100.0% [54] 220(1.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [58] 100.0% --------------------------------------------------------------------- loop [50] 33.0% loop [46] 67.0% [55] 5106(25.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 58.0% map [59] 42.0% --------------------------------------------------------------------- loop [46] 30.9% loop [50] 69.1% [56] 4776(23.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% --------------------------------------------------------------------- location-do [51] 100.0% [57] 3016(15.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [60] 86.7% f37 [71] 13.3% --------------------------------------------------------------------- composed [37] 19.3% override-at-pnts [54] 21.5% best-and-tied-at-points [52] 59.2% [58] 1024(5.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 61.1% eval-prog [61] 38.9% --------------------------------------------------------------------- f37 [71] 2.8% make-exacts* [55] 30.1% loop [56] 67.1% [59] 7120(35.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 94.3% ??? [74] 2.9% taylor-invert [64] 2.8% --------------------------------------------------------------------- approximate9 [57] 100.0% [60] 2614(13.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [63] 100.0% --------------------------------------------------------------------- errors [58] 19.5% loop [50] 80.5% [61] 2044(10.2%) 398(2.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [63] 80.5% --------------------------------------------------------------------- errors [58] 100.0% [62] 626(3.1%) 200(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 68.1% --------------------------------------------------------------------- for-loop [22] 1.1% ??? [9] 3.0% ??? [68] 3.0% ??? [21] 4.5% ??? [66] 24.4% loop [60] 24.4% eval-prog [61] 36.9% [63] 4460(22.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [67] 36.9% ??? [66] 24.4% simplify [65] 24.4% ??? [5] 4.5% parse-loop50 [69] 4.5% ??? [68] 3.0% ??? [8] 1.1% ??? [7] 1.1% --------------------------------------------------------------------- map [59] 100.0% [64] 200(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [65] 100.0% --------------------------------------------------------------------- taylor-invert [64] 6.6% taylor-sqrt [6] 6.7% hash-ref! [63] 86.7% [65] 3016(15.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [69] 86.7% f37 [71] 13.3% --------------------------------------------------------------------- hash-ref! [63] 100.0% [66] 2614(13.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [63] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [67] 1646(8.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [70] 100.0% --------------------------------------------------------------------- hash-ref! [63] 100.0% [68] 402(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [63] 100.0% --------------------------------------------------------------------- for-loop [16] 1.8% loop [72] 5.8% hash-ref! [63] 7.1% simplify [65] 38.9% parse-loop50 [69] 46.4% [69] 2814(14.1%) 2210(11.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [69] 46.4% loop [72] 13.0% parse-app [73] 9.0% --------------------------------------------------------------------- bigfloat-hash [67] 100.0% [70] 1646(8.2%) 1646(8.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- composed [37] 10.0% append-map [33] 20.1% simplify [65] 22.5% approximate9 [57] 22.5% f37 [71] 24.9% [71] 402(2.0%) 200(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 append-map [33] 30.1% f37 [71] 24.9% map [59] 12.4% taylor-sqrt [6] 10.0% composed [37] 10.0% --------------------------------------------------------------------- map-enodes [27] 0.5% make-exacts* [55] 0.5% post-process [18] 1.0% map [59] 1.7% append-map [33] 3.0% parse-loop50 [69] 3.7% loop [72] 89.6% [72] 13228(66.1%) 232(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 89.6% parse-loop50 [69] 3.6% taylor-alt [40] 3.0% ??? [74] 2.2% completely-simplify-alt [4] 0.9% for-loop [75] 0.5% ??? [9] 0.1% ??? [82] 0.0% --------------------------------------------------------------------- parse-loop50 [69] 100.0% [73] 404(2.0%) 202(1.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [76] 50.0% --------------------------------------------------------------------- map [59] 1.9% for-loop [62] 4.0% loop [72] 94.0% [74] 10564(52.8%) 256(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [77] 76.4% real->bigfloat [78] 14.3% ??? [89] 4.8% ->flonum [80] 2.1% --------------------------------------------------------------------- loop [72] 100.0% [75] 636(3.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [79] 68.2% setfindf [81] 31.8% --------------------------------------------------------------------- parse-app [73] 100.0% [76] 202(1.0%) 202(1.0%) loop .../collects/racket/private/stxcase.rkt:112:7 --------------------------------------------------------------------- ??? [74] 100.0% [77] 8072(40.3%) 206(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 84.4% ...higher-order.rkt:373:33 [83] 13.0% --------------------------------------------------------------------- ??? [74] 100.0% [78] 1510(7.5%) 1510(7.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- for-loop [75] 100.0% [79] 434(2.2%) 202(1.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [84] 53.5% --------------------------------------------------------------------- ??? [74] 100.0% [80] 220(1.1%) 220(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 --------------------------------------------------------------------- for-loop [75] 100.0% [81] 202(1.0%) 202(1.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 --------------------------------------------------------------------- loop [72] 2.9% ??? [77] 97.1% [82] 7014(35.0%) 3234(16.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [91] 20.3% bfadd [85] 17.2% bfsqrt [86] 16.4% --------------------------------------------------------------------- ??? [77] 100.0% [83] 1052(5.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [87] 100.0% --------------------------------------------------------------------- eval-const-expr [79] 100.0% [84] 232(1.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [88] 100.0% --------------------------------------------------------------------- ??? [82] 100.0% [85] 1204(6.0%) 1204(6.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 --------------------------------------------------------------------- ??? [82] 100.0% [86] 1150(5.7%) 914(4.6%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 20.5% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [87] 1052(5.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [89] 100.0% --------------------------------------------------------------------- inductor [88] 50.0% expression-induct31 [84] 50.0% [88] 232(1.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [88] 50.0% ??? [89] 50.0% --------------------------------------------------------------------- inductor [88] 13.0% ??? [74] 28.3% ??? [87] 58.8% [89] 1790(8.9%) 222(1.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 87.6% --------------------------------------------------------------------- bfsqrt [86] 100.0% [90] 236(1.2%) 236(1.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [82] 47.6% ??? [89] 52.4% [91] 2994(15.0%) 1482(7.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 42.8% ??? [93] 7.7% --------------------------------------------------------------------- ??? [91] 100.0% [92] 1280(6.4%) 1064(5.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 16.9% --------------------------------------------------------------------- ??? [91] 100.0% [93] 232(1.2%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [94] 100.0% --------------------------------------------------------------------- ??? [93] 100.0% [94] 232(1.2%) 232(1.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------- ??? [92] 100.0% [95] 216(1.1%) 216(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------