Profiling results ----------------- Total cpu time observed: 45884ms (out of 46452ms) Number of samples taken: 200 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 96 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [27] 100.0% [1] 45206(98.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [2] 18792(41.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [8] 80.2% for-loop [13] 18.6% loop [29] 1.3% ------------------------------------------------------------------------ location-do [71] 100.0% [3] 15016(32.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 97.2% f16 [45] 2.8% ------------------------------------------------------------------------ hash-ref! [39] 100.0% [4] 9570(20.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [10] 100.0% ------------------------------------------------------------------------ hash-ref! [39] 100.0% [5] 9000(19.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [39] 100.0% [6] 4574(10.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [12] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [7] 45206(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 15062(32.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [14] 100.0% ------------------------------------------------------------------------ approximate9 [3] 100.0% [9] 14594(31.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [39] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [10] 9570(20.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [15] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [11] 9000(19.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [39] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [12] 4574(10.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [52] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [13] 3490(7.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ------------------------------------------------------------------------ finalize-table! [8] 100.0% [14] 15062(32.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [17] 85.3% loop [53] 11.5% ??? [24] 3.2% ------------------------------------------------------------------------ for-loop [10] 100.0% [15] 9570(20.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [39] 100.0% ------------------------------------------------------------------------ for-loop [13] 100.0% [16] 3490(7.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [18] 62.1% simplify! [19] 18.3% finalize-iter! [21] 12.7% localize-error [20] 6.9% ------------------------------------------------------------------------ post-process [14] 100.0% [17] 12848(28.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [22] 100.0% ------------------------------------------------------------------------ run-iter! [16] 100.0% [18] 2168(4.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ------------------------------------------------------------------------ run-iter! [16] 100.0% [19] 640(1.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ------------------------------------------------------------------------ loop [53] 48.1% run-iter! [16] 51.9% [20] 462(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 loop [26] 51.9% hash-ref! [39] 48.1% ------------------------------------------------------------------------ run-iter! [16] 100.0% [21] 442(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ------------------------------------------------------------------------ for-loop [17] 100.0% [22] 12848(28.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [57] 87.2% loop [53] 12.8% ------------------------------------------------------------------------ gen-series! [18] 100.0% [23] 2168(4.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [57] 100.0% ------------------------------------------------------------------------ finalize-iter! [21] 47.7% post-process [14] 52.3% [24] 926(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 100.0% ------------------------------------------------------------------------ simplify! [19] 100.0% [25] 640(1.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ------------------------------------------------------------------------ localize-error [20] 100.0% [26] 240(0.5%) 240(0.5%) loop ...ket/collects/racket/private/map.rkt:113:23 ------------------------------------------------------------------------ for-loop [25] 0.5% run [7] 49.0% [27] 45884(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.0% loop [29] 30.3% run-improve58 [2] 20.2% simplify [31] 0.5% ------------------------------------------------------------------------ ??? [24] 100.0% [28] 926(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 0.9% ??? [27] 99.1% [29] 27332(59.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [32] 47.4% make-exacts* [34] 40.6% loop [35] 12.0% ------------------------------------------------------------------------ for-loop [28] 100.0% [30] 926(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [33] 100.0% ------------------------------------------------------------------------ ??? [27] 100.0% [31] 640(1.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [64] 65.6% iterate-egraph!5 [72] 34.4% ------------------------------------------------------------------------ loop [29] 100.0% [32] 12952(28.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [35] 53.3% make-exacts* [34] 44.9% eval-prog [38] 1.9% ------------------------------------------------------------------------ atab-add-altn [30] 100.0% [33] 926(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [36] 73.9% for-loop [37] 26.1% ------------------------------------------------------------------------ loop [32] 34.4% loop [29] 65.6% [34] 16910(36.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [53] 55.5% map [51] 41.7% eval-prog [38] 2.8% ------------------------------------------------------------------------ loop [29] 32.3% loop [32] 67.7% [35] 10182(22.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [51] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [33] 100.0% [36] 684(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [38] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [33] 100.0% [37] 242(0.5%) 242(0.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ loop [32] 17.1% make-exacts* [34] 34.0% errors [36] 48.9% [38] 1400(3.1%) 724(1.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [39] 34.0% inductor [40] 14.3% ------------------------------------------------------------------------ localize-error [20] 0.7% eval-prog [38] 1.1% loop [53] 2.0% ??? [43] 2.3% for-loop [54] 6.9% for-loop [11] 13.4% for-loop [15] 15.8% ??? [42] 27.6% loop [9] 28.9% [39] 15512(33.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [41] 29.4% ??? [42] 27.6% ??? [4] 15.8% ??? [5] 13.4% ??? [6] 6.9% ??? [43] 2.3% parse-loop50 [52] 1.4% bigfloat-hash [44] 1.1% ------------------------------------------------------------------------ eval-prog [38] 16.7% inductor [40] 83.3% [40] 200(0.4%) 200(0.4%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [40] 83.3% ------------------------------------------------------------------------ loop [53] 1.3% hash-ref! [39] 98.7% [41] 15016(32.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [52] 55.9% f16 [45] 42.7% debug7 [48] 1.3% ------------------------------------------------------------------------ hash-ref! [39] 100.0% [42] 14392(31.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [39] 100.0% ------------------------------------------------------------------------ hash-ref! [39] 100.0% [43] 1624(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [39] 100.0% ------------------------------------------------------------------------ hash-ref! [39] 100.0% [44] 476(1.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [46] 50.4% bfcanonicalize [47] 49.6% ------------------------------------------------------------------------ approximate9 [3] 1.9% f16 [45] 2.3% loop [53] 5.1% parse-loop50 [52] 13.6% map [51] 20.0% simplify [41] 57.2% [45] 7478(16.3%) 1730(3.8%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [51] 84.0% gather-multiplicative-terms [50] 2.7% f16 [45] 2.3% ------------------------------------------------------------------------ bigfloat-hash [44] 100.0% [46] 240(0.5%) 240(0.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ bigfloat-hash [44] 100.0% [47] 236(0.5%) 236(0.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ simplify [41] 100.0% [48] 202(0.4%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [49] 100.0% ------------------------------------------------------------------------ debug7 [48] 100.0% [49] 202(0.4%) 202(0.4%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------ f16 [45] 100.0% [50] 200(0.4%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [51] 100.0% ------------------------------------------------------------------------ gather-multiplicative-terms [50] 0.8% parse-loop50 [52] 9.9% f16 [45] 23.9% make-exacts* [34] 26.8% loop [35] 38.7% [51] 26334(57.4%) 200(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [53] 70.6% parse-loop50 [52] 22.3% f16 [45] 6.0% ??? [60] 0.4% ------------------------------------------------------------------------ hash-ref! [39] 1.5% for-loop [12] 10.5% loop [53] 12.3% simplify [41] 15.1% map [51] 27.1% parse-loop50 [52] 33.5% [52] 14612(31.8%) 11636(25.4%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [52] 33.5% loop [53] 16.9% for-loop [54] 10.5% map [51] 6.3% f16 [45] 5.2% parse-app [55] 1.0% ??? [60] 0.3% ------------------------------------------------------------------------ make-exacts* [34] 0.4% post-process [14] 0.7% append-map [22] 2.6% map [51] 6.0% parse-loop50 [52] 10.9% loop [53] 77.6% [53] 36874(80.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [53] 77.6% parse-loop50 [52] 12.3% ??? [56] 3.2% taylor-alt [57] 2.6% f16 [45] 1.4% hash-ref! [39] 1.3% completely-simplify-alt [58] 0.6% simplify [41] 0.5% ??? [60] 0.2% localize-error [20] 0.1% ??? [70] 0.1% ->flonum [59] 0.0% ------------------------------------------------------------------------ parse-loop50 [52] 100.0% [54] 4574(10.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [39] 100.0% ------------------------------------------------------------------------ parse-loop50 [52] 100.0% [55] 644(1.4%) 222(0.5%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [61] 65.5% ------------------------------------------------------------------------ loop [53] 100.0% [56] 25922(56.5%) 1140(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [62] 88.5% real->bigfloat [65] 5.5% ??? [66] 1.6% ------------------------------------------------------------------------ loop [53] 11.0% for-loop [23] 14.4% append-map [22] 74.6% [57] 15016(32.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [63] 100.0% ------------------------------------------------------------------------ loop [53] 100.0% [58] 1508(3.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [64] 100.0% ------------------------------------------------------------------------ loop [53] 100.0% [59] 694(1.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [67] 34.9% ??? [68] 33.4% ??? [75] 31.7% ------------------------------------------------------------------------ parse-loop50 [52] 33.1% loop [53] 33.4% map [51] 33.4% [60] 604(1.3%) 404(0.9%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 foldl [69] 33.1% ------------------------------------------------------------------------ parse-app [55] 100.0% [61] 422(0.9%) 422(0.9%) loop .../collects/racket/private/stxcase.rkt:112:7 ------------------------------------------------------------------------ ??? [56] 100.0% [62] 22942(50.0%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [70] 100.0% ------------------------------------------------------------------------ taylor-alt [57] 100.0% [63] 15016(32.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [71] 100.0% ------------------------------------------------------------------------ simplify [31] 21.8% completely-simplify-alt [58] 78.2% [64] 1928(4.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [72] 100.0% ------------------------------------------------------------------------ ??? [56] 100.0% [65] 1418(3.1%) 1418(3.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------ ??? [56] 100.0% [66] 422(0.9%) 222(0.5%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [75] 47.4% ------------------------------------------------------------------------ ->flonum [59] 100.0% [67] 242(0.5%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [78] 100.0% ------------------------------------------------------------------------ ->flonum [59] 100.0% [68] 232(0.5%) 232(0.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [60] 100.0% [69] 200(0.4%) 200(0.4%) foldl ...et/collects/racket/private/list.rkt:229:4 ------------------------------------------------------------------------ loop [53] 1.0% ??? [62] 99.0% [70] 23164(50.5%) 17590(38.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [73] 14.7% bfatan [76] 5.2% ??? [75] 4.1% ------------------------------------------------------------------------ for-loop [63] 35.5% location-do [71] 64.5% [71] 15016(32.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [71] 64.5% approximate9 [3] 35.5% ------------------------------------------------------------------------ simplify [31] 10.2% simplify-expr [64] 89.8% [72] 2148(4.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [74] 89.7% map-enodes [77] 10.3% ------------------------------------------------------------------------ ??? [70] 100.0% [73] 3412(7.4%) 1860(4.1%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [78] 45.5% ------------------------------------------------------------------------ iterate-egraph!5 [72] 100.0% [74] 1926(4.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [79] 78.1% loop [80] 21.9% ------------------------------------------------------------------------ ??? [66] 14.5% ->flonum [59] 16.0% ??? [70] 69.5% [75] 1378(3.0%) 726(1.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [81] 30.5% ??? [82] 16.8% ------------------------------------------------------------------------ ??? [70] 100.0% [76] 1204(2.6%) 762(1.7%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [78] 36.7% ------------------------------------------------------------------------ iterate-egraph!5 [72] 100.0% [77] 222(0.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 set-precompute! [83] 100.0% ------------------------------------------------------------------------ ??? [67] 10.8% bfatan [76] 19.8% bfsub [73] 69.4% [78] 2236(4.9%) 2236(4.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ for-loop [79] 50.0% one-iter [74] 50.0% [79] 1504(3.3%) 422(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [79] 50.0% match-e [88] 36.0% ------------------------------------------------------------------------ one-iter [74] 100.0% [80] 422(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [84] 100.0% ------------------------------------------------------------------------ ??? [75] 100.0% [81] 420(0.9%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [85] 100.0% ------------------------------------------------------------------------ ??? [75] 100.0% [82] 232(0.5%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [86] 100.0% ------------------------------------------------------------------------ map-enodes [77] 100.0% [83] 222(0.5%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [87] 100.0% ------------------------------------------------------------------------ loop [80] 100.0% [84] 422(0.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [88] 52.6% for-loop [89] 47.4% ------------------------------------------------------------------------ ??? [81] 100.0% [85] 420(0.9%) 420(0.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------ ??? [82] 100.0% [86] 232(0.5%) 232(0.5%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------------ set-precompute! [83] 100.0% [87] 222(0.5%) 222(0.5%) make-sequence ...ects/racket/private/for.rkt:508:2 ------------------------------------------------------------------------ apply-match [84] 17.0% for-loop [79] 83.0% [88] 1304(2.8%) 1082(2.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [90] 17.0% ------------------------------------------------------------------------ apply-match [84] 100.0% [89] 200(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [91] 100.0% ------------------------------------------------------------------------ match-e [88] 100.0% [90] 222(0.5%) 222(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ------------------------------------------------------------------------ for-loop [89] 100.0% [91] 200(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [92] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [91] 100.0% [92] 200(0.4%) 200(0.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------------