Profiling results ----------------- Total cpu time observed: 81644ms (out of 82536ms) Number of samples taken: 361 (once every 226ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 98 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [31] 100.0% [1] 79134(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [2] 11802(14.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 83.7% loop [34] 14.6% get-final-combination [15] 1.7% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [3] 5314(6.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [52] 100.0% ---------------------------------------------------------------------- loop [52] 4.3% ??? [31] 95.7% [4] 4686(5.7%) 200(0.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [17] 64.9% simplify-expr [13] 26.1% for-loop [14] 4.7% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [5] 2738(3.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [6] 2560(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ---------------------------------------------------------------------- loop [7] 50.0% location-do [40] 50.0% [7] 824(1.0%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [7] 50.0% approximate9 [10] 50.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.2% [8] 79796(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 9880(12.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- loop [7] 23.3% location-do [40] 76.7% [10] 3540(4.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [18] 93.8% f94 [65] 6.2% ---------------------------------------------------------------------- ??? [5] 100.0% [11] 2738(3.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [12] 2560(3.1%) 340(0.4%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [54] 86.7% ---------------------------------------------------------------------- simplify [4] 100.0% [13] 1222(1.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [14] 222(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 200(0.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [20] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [16] 9880(12.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 45.4% gen-series! [23] 35.8% finalize-iter! [24] 12.2% localize-error [25] 6.6% ---------------------------------------------------------------------- for-loop [14] 4.9% simplify-expr [13] 27.2% simplify [4] 67.8% [17] 4486(5.5%) 200(0.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 90.9% map-enodes [26] 4.7% ---------------------------------------------------------------------- approximate9 [10] 100.0% [18] 3320(4.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [54] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [19] 2738(3.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [54] 100.0% ---------------------------------------------------------------------- get-final-combination [15] 100.0% [20] 200(0.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [52] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [21] 4486(5.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [22] 4076(5.0%) 200(0.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 75.1% loop [30] 14.6% apply-match [33] 5.4% ---------------------------------------------------------------------- run-iter! [16] 100.0% [23] 3540(4.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [24] 1206(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [66] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [25] 648(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [54] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [26] 210(0.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [52] 100.0% ---------------------------------------------------------------------- simplify! [21] 100.0% [27] 4486(5.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ---------------------------------------------------------------------- gen-series! [23] 100.0% [28] 3540(4.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ---------------------------------------------------------------------- for-loop [29] 46.7% one-iter [22] 53.3% [29] 3060(3.7%) 1004(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 46.7% match-e [36] 33.6% ---------------------------------------------------------------------- one-iter [22] 100.0% [30] 596(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ---------------------------------------------------------------------- for-loop [27] 1.9% run [8] 48.6% [31] 81252(99.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.8% loop [34] 43.9% run-improve58 [2] 6.4% simplify [4] 1.9% ---------------------------------------------------------------------- for-loop [28] 100.0% [32] 3540(4.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ---------------------------------------------------------------------- one-iter [22] 27.0% loop [30] 73.0% [33] 816(1.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 mk-enode! [37] 49.0% reduce-to-single! [38] 27.0% match-e [36] 24.0% ---------------------------------------------------------------------- run-improve58 [2] 2.4% ??? [31] 97.6% [34] 71172(87.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [39] 46.9% make-exacts* [44] 34.6% loop [45] 17.6% filter-points [42] 0.9% ---------------------------------------------------------------------- taylor-alt [32] 100.0% [35] 3540(4.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ---------------------------------------------------------------------- apply-match [33] 4.4% for-loop [46] 13.7% for-loop [29] 81.9% [36] 2252(2.8%) 1830(2.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 27.5% ---------------------------------------------------------------------- apply-match [33] 100.0% [37] 400(0.5%) 400(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- apply-match [33] 100.0% [38] 220(0.3%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [43] 100.0% ---------------------------------------------------------------------- loop [34] 100.0% [39] 33386(40.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [44] 44.7% loop [45] 42.3% eval-prog [50] 13.0% ---------------------------------------------------------------------- for-loop [35] 32.7% location-do [40] 67.3% [40] 3540(4.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [40] 67.3% approximate9 [10] 25.0% loop [7] 7.8% ---------------------------------------------------------------------- match-e [36] 100.0% [41] 818(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [46] 86.4% list-cartesian-product [48] 13.6% ---------------------------------------------------------------------- loop [34] 100.0% [42] 662(0.8%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [47] 100.0% ---------------------------------------------------------------------- reduce-to-single! [38] 100.0% [43] 220(0.3%) 220(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ---------------------------------------------------------------------- loop [39] 37.7% loop [34] 62.3% [44] 39558(48.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [52] 48.0% map [49] 46.9% eval-prog [50] 5.1% ---------------------------------------------------------------------- loop [34] 47.0% loop [39] 53.0% [45] 26604(32.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [49] 100.0% ---------------------------------------------------------------------- for-loop [41] 100.0% [46] 818(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 75.6% ??? [51] 24.4% ---------------------------------------------------------------------- filter-points [42] 100.0% [47] 662(0.8%) 662(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ---------------------------------------------------------------------- list-cartesian-product [48] 50.0% for-loop [41] 50.0% [48] 222(0.3%) 222(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [48] 50.0% ---------------------------------------------------------------------- parse-loop12 [61] 2.2% f94 [65] 2.4% make-exacts* [44] 39.2% loop [45] 56.2% [49] 47332(58.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 94.7% parse-loop12 [61] 3.3% ??? [53] 0.9% ??? [80] 0.8% f94 [65] 0.4% ---------------------------------------------------------------------- make-exacts* [44] 31.7% loop [39] 68.3% [50] 6370(7.8%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [54] 97.0% inductor [67] 3.0% ---------------------------------------------------------------------- for-loop [46] 100.0% [51] 200(0.2%) 200(0.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- extract-alt [20] 0.1% map-enodes [26] 0.3% make-exacts* [44] 0.8% parse-loop12 [61] 1.3% map [49] 1.5% ??? [3] 7.3% loop [52] 88.7% [52] 71360(87.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 88.7% hash-ref! [54] 7.3% ??? [80] 2.3% parse-loop12 [61] 1.1% for-loop [55] 0.3% simplify [4] 0.1% f94 [65] 0.1% ??? [53] 0.0% ??? [89] 0.0% ->flonum [83] 0.0% ---------------------------------------------------------------------- map [49] 38.1% loop [52] 61.9% [53] 868(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [54] 74.7% f94 [65] 25.3% ---------------------------------------------------------------------- localize-error [25] 2.3% ??? [53] 4.1% for-loop [12] 5.5% for-loop [19] 7.2% ??? [57] 10.0% loop [18] 10.0% eval-prog [50] 29.1% loop [52] 31.8% [54] 10148(12.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 31.8% bigfloat-hash [56] 29.1% ??? [57] 10.0% simplify [58] 8.9% ??? [5] 7.2% ??? [6] 6.6% parse-loop12 [61] 6.4% ---------------------------------------------------------------------- loop [52] 100.0% [55] 210(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [59] 100.0% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [56] 6180(7.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [60] 75.5% sig+exp->bigfloat [62] 24.5% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [57] 3320(4.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [54] 100.0% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [58] 2980(3.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [61] 74.5% f94 [65] 18.7% debug7 [64] 6.8% ---------------------------------------------------------------------- for-loop [55] 100.0% [59] 210(0.3%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [63] 100.0% ---------------------------------------------------------------------- bigfloat-hash [56] 100.0% [60] 4666(5.7%) 4666(5.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- loop [52] 7.6% map [49] 19.7% hash-ref! [54] 20.0% simplify [58] 23.1% parse-loop12 [61] 29.6% [61] 3248(4.0%) 2180(2.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [61] 29.6% loop [52] 28.4% map [49] 9.2% parse-app [68] 6.8% f94 [65] 6.7% ---------------------------------------------------------------------- bigfloat-hash [56] 100.0% [62] 1514(1.9%) 1302(1.6%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [95] 14.0% ---------------------------------------------------------------------- eval-const-expr [59] 100.0% [63] 210(0.3%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [67] 100.0% ---------------------------------------------------------------------- simplify [58] 100.0% [64] 202(0.2%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [66] 100.0% ---------------------------------------------------------------------- f94 [65] 4.8% ??? [53] 4.8% approximate9 [10] 4.8% append-map [71] 6.1% composed [70] 6.1% loop [52] 6.7% map [49] 6.7% simplify [58] 20.1% parse-loop12 [61] 39.8% [65] 1514(1.9%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [49] 72.1% append-map [71] 12.2% composed [70] 6.1% f94 [65] 4.8% taylor [72] 4.8% ---------------------------------------------------------------------- debug7 [64] 14.3% finalize-iter! [24] 85.7% [66] 1408(1.7%) 202(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [69] 71.3% atab-add-altns [73] 14.3% ---------------------------------------------------------------------- eval-prog [50] 15.8% expression-induct31 [63] 26.2% inductor [67] 57.9% [67] 400(0.5%) 210(0.3%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [67] 57.9% integer->bigfloat [74] 15.8% ---------------------------------------------------------------------- parse-loop12 [61] 100.0% [68] 220(0.3%) 220(0.3%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- ??? [66] 100.0% [69] 1004(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [75] 100.0% ---------------------------------------------------------------------- f94 [65] 100.0% [70] 378(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [65] 100.0% ---------------------------------------------------------------------- f94 [65] 100.0% [71] 378(0.5%) 378(0.5%) append-map ...acket/collects/racket/list.rkt:565:2 f94 [65] 50.0% ---------------------------------------------------------------------- f94 [65] 100.0% [72] 220(0.3%) 220(0.3%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 ---------------------------------------------------------------------- ??? [66] 100.0% [73] 202(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [75] 100.0% ---------------------------------------------------------------------- inductor [67] 100.0% [74] 190(0.2%) 190(0.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- atab-add-altns [73] 16.7% for-loop [69] 83.3% [75] 1206(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [76] 100.0% ---------------------------------------------------------------------- atab-add-altn [75] 100.0% [76] 1206(1.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [77] 82.3% for-loop [78] 17.7% ---------------------------------------------------------------------- best-and-tied-at-points [76] 100.0% [77] 992(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [79] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [76] 100.0% [78] 214(0.3%) 214(0.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- errors [77] 100.0% [79] 992(1.2%) 200(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 79.8% ---------------------------------------------------------------------- map [49] 0.6% for-loop [79] 1.2% loop [52] 98.2% [80] 64700(79.2%) 1086(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 93.7% real->bigfloat [82] 3.4% ??? [92] 0.6% ->flonum [83] 0.3% ---------------------------------------------------------------------- ??? [80] 100.0% [81] 60606(74.2%) 1256(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 88.9% ...higher-order.rkt:373:33 [84] 4.4% bffma [85] 2.4% bf* [87] 1.5% ...ow-val-first.rkt:357:18 [88] 0.7% ---------------------------------------------------------------------- ??? [80] 100.0% [82] 2218(2.7%) 1694(2.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 23.6% ---------------------------------------------------------------------- ??? [80] 46.5% loop [52] 53.5% [83] 434(0.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 53.5% ??? [86] 46.5% ---------------------------------------------------------------------- ??? [81] 100.0% [84] 2646(3.2%) 218(0.3%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 57.1% ??? [92] 34.6% ---------------------------------------------------------------------- ??? [81] 100.0% [85] 1480(1.8%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [87] 84.5% ...ow-val-first.rkt:357:18 [88] 15.5% ---------------------------------------------------------------------- ->flonum [83] 100.0% [86] 202(0.2%) 202(0.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [81] 41.4% bffma [85] 58.6% [87] 2134(2.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ---------------------------------------------------------------------- bffma [85] 34.2% ??? [81] 65.8% [88] 672(0.8%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [90] 100.0% ---------------------------------------------------------------------- loop [52] 1.1% bf* [87] 3.8% ??? [81] 95.1% [89] 56680(69.4%) 45140(55.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [91] 13.8% ??? [94] 5.0% bfexp [93] 1.5% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [88] 30.8% ...higher-order.rkt:373:33 [84] 69.2% [90] 2184(2.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [91] 7842(9.6%) 5170(6.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 34.1% ---------------------------------------------------------------------- ??? [80] 10.6% ...higher-order.rkt:373:33 [84] 26.4% ??? [90] 63.0% [92] 3468(4.2%) 236(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 93.2% ---------------------------------------------------------------------- ??? [89] 100.0% [93] 836(1.0%) 836(1.0%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------- ->flonum [83] 3.7% ??? [89] 45.2% ??? [92] 51.1% [94] 6326(7.7%) 4084(5.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 35.4% ---------------------------------------------------------------------- sig+exp->bigfloat [62] 6.2% real->bigfloat [82] 15.4% bfdiv [91] 78.4% [95] 3408(4.2%) 3408(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [94] 100.0% [96] 2242(2.7%) 1562(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 30.3% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 680(0.8%) 680(0.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------