Profiling results ----------------- Total cpu time observed: 15712ms (out of 16020ms) Number of samples taken: 70 (once every 224ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 97 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [14] 100.0% [1] 15304(97.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% --------------------------------------------------------------------- hash-ref! [75] 100.0% [2] 2662(16.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [10] 75.2% hash-ref! [75] 24.8% --------------------------------------------------------------------- loop [65] 100.0% [3] 1828(11.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% --------------------------------------------------------------------- ??? [14] 100.0% [4] 1038(6.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 80.5% iterate-egraph!5 [15] 19.5% --------------------------------------------------------------------- hash-ref! [75] 100.0% [5] 222(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% --------------------------------------------------------------------- hash-ref! [75] 100.0% [6] 220(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [12] 100.0% --------------------------------------------------------------------- hash-ref! [75] 100.0% [7] 218(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [13] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 15304(97.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [14] 100.0% --------------------------------------------------------------------- simplify [4] 31.4% completely-simplify-alt [3] 68.6% [9] 2664(17.0%) 400(2.5%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 85.0% --------------------------------------------------------------------- ??? [2] 100.0% [10] 2002(12.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [75] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [11] 222(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [75] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [12] 220(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [75] 100.0% --------------------------------------------------------------------- ??? [7] 100.0% [13] 218(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [60] 100.0% --------------------------------------------------------------------- for-loop [43] 2.2% run [8] 48.2% [14] 15504(98.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% run-improve58 [16] 27.6% loop [17] 21.9% simplify [4] 2.2% --------------------------------------------------------------------- simplify [4] 8.2% simplify-expr [9] 91.8% [15] 2466(15.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 91.8% map-enodes [19] 8.2% --------------------------------------------------------------------- ??? [14] 100.0% [16] 8708(55.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [20] 68.3% for-loop [22] 29.0% get-final-combination [25] 2.7% --------------------------------------------------------------------- ??? [14] 100.0% [17] 6796(43.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [27] 55.2% loop [21] 44.8% --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [18] 2264(14.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 80.7% loop [24] 19.3% --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [19] 202(1.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [65] 100.0% --------------------------------------------------------------------- run-improve58 [16] 100.0% [20] 5950(37.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [26] 100.0% --------------------------------------------------------------------- loop [17] 100.0% [21] 3048(19.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [29] 69.2% make-exacts* [27] 30.8% --------------------------------------------------------------------- run-improve58 [16] 100.0% [22] 2524(16.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [28] 100.0% --------------------------------------------------------------------- for-loop [23] 50.0% one-iter [18] 50.0% [23] 1828(11.6%) 402(2.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 50.0% match-e [30] 39.0% --------------------------------------------------------------------- one-iter [18] 100.0% [24] 436(2.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% --------------------------------------------------------------------- run-improve58 [16] 100.0% [25] 234(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [32] 100.0% --------------------------------------------------------------------- finalize-table! [20] 100.0% [26] 5950(37.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [33] 55.2% loop [65] 37.7% ??? [42] 7.1% --------------------------------------------------------------------- loop [21] 20.0% loop [17] 80.0% [27] 4686(29.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [63] 60.8% loop [65] 39.2% --------------------------------------------------------------------- for-loop [22] 100.0% [28] 2524(16.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [34] 41.1% finalize-iter! [35] 34.2% gen-series! [38] 16.7% localize-error [36] 7.9% --------------------------------------------------------------------- loop [21] 100.0% [29] 2110(13.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [63] 100.0% --------------------------------------------------------------------- for-loop [23] 100.0% [30] 1426(9.1%) 1224(7.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 list-cartesian-product [40] 14.2% --------------------------------------------------------------------- loop [24] 100.0% [31] 436(2.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [37] 100.0% --------------------------------------------------------------------- get-final-combination [25] 100.0% [32] 234(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [39] 100.0% --------------------------------------------------------------------- post-process [26] 100.0% [33] 3282(20.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [41] 100.0% --------------------------------------------------------------------- run-iter! [28] 100.0% [34] 1038(6.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [43] 100.0% --------------------------------------------------------------------- run-iter! [28] 100.0% [35] 864(5.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [42] 100.0% --------------------------------------------------------------------- run-iter! [28] 32.4% loop [65] 67.6% [36] 618(3.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [75] 100.0% --------------------------------------------------------------------- apply-match [31] 100.0% [37] 436(2.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [45] 50.0% for-loop [46] 50.0% --------------------------------------------------------------------- run-iter! [28] 100.0% [38] 422(2.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [44] 100.0% --------------------------------------------------------------------- extract-alt [32] 100.0% [39] 234(1.5%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [64] 100.0% --------------------------------------------------------------------- list-cartesian-product [40] 50.0% match-e [30] 50.0% [40] 202(1.3%) 202(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [40] 50.0% --------------------------------------------------------------------- f6 [61] 8.3% for-loop [33] 91.7% [41] 3282(20.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [47] 79.5% loop [65] 12.2% f6 [61] 4.4% free-variables [49] 3.9% --------------------------------------------------------------------- post-process [26] 32.8% finalize-iter! [35] 67.2% [42] 1286(8.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [48] 82.9% atab-add-altns [50] 17.1% --------------------------------------------------------------------- simplify! [34] 100.0% [43] 1038(6.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [14] 100.0% --------------------------------------------------------------------- gen-series! [38] 100.0% [44] 422(2.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [47] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [37] 100.0% [45] 218(1.4%) 218(1.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 --------------------------------------------------------------------- merge-egraph-nodes! [37] 100.0% [46] 218(1.4%) 218(1.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- loop [65] 10.8% for-loop [44] 11.4% append-map [41] 77.8% [47] 3704(23.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [51] 100.0% --------------------------------------------------------------------- ??? [42] 100.0% [48] 1066(6.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [52] 100.0% --------------------------------------------------------------------- append-map [41] 100.0% [49] 400(2.5%) 200(1.3%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [53] 50.0% --------------------------------------------------------------------- ??? [42] 100.0% [50] 220(1.4%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [52] 100.0% --------------------------------------------------------------------- taylor-alt [47] 100.0% [51] 3704(23.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [54] 100.0% --------------------------------------------------------------------- atab-add-altns [50] 17.1% for-loop [48] 82.9% [52] 1286(8.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [55] 100.0% --------------------------------------------------------------------- free-variables [49] 100.0% [53] 200(1.3%) 200(1.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- location-do [54] 36.4% for-loop [51] 63.6% [54] 3704(23.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 63.6% location-do [54] 36.4% --------------------------------------------------------------------- atab-add-altn [52] 100.0% [55] 1286(8.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [66] 100.0% --------------------------------------------------------------------- location-do [54] 100.0% [56] 3704(23.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 89.2% f6 [61] 5.4% taylor-quotient [58] 5.4% --------------------------------------------------------------------- approximate9 [56] 100.0% [57] 3304(21.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [75] 100.0% --------------------------------------------------------------------- approximate9 [56] 50.0% f6 [61] 50.0% [58] 400(2.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [59] 100.0% --------------------------------------------------------------------- taylor-quotient [58] 10.8% hash-ref! [75] 89.2% [59] 3704(23.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [60] 60.0% f6 [61] 40.0% --------------------------------------------------------------------- for-loop [13] 1.9% loop [65] 5.4% map [63] 9.7% hash-ref! [75] 14.1% parse-loop12 [60] 28.0% simplify [59] 40.9% [60] 2844(18.1%) 1582(10.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [60] 28.0% loop [65] 19.5% f6 [61] 11.6% parse-app [62] 9.7% --------------------------------------------------------------------- approximate9 [56] 1.2% composed [64] 2.4% append-map [41] 6.1% simplify [59] 14.7% hash-ref! [75] 17.9% parse-loop12 [60] 18.8% map [63] 38.8% [61] 2340(14.9%) 1300(8.3%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [63] 63.7% append-map [41] 8.5% composed [64] 2.4% taylor-quotient [58] 1.2% --------------------------------------------------------------------- parse-loop12 [60] 100.0% [62] 422(2.7%) 422(2.7%) parse-app .../collects/racket/private/kw.rkt:903:2 --------------------------------------------------------------------- f6 [61] 27.9% loop [29] 30.7% make-exacts* [27] 41.4% [63] 6876(43.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 75.3% f6 [61] 17.8% parse-loop12 [60] 4.0% loop [67] 2.9% --------------------------------------------------------------------- argmins [39] 36.9% f6 [61] 63.1% [64] 634(4.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [61] 63.1% errors [66] 36.9% --------------------------------------------------------------------- make-exacts* [27] 0.0% map-enodes [19] 0.1% map [63] 0.4% post-process [26] 1.1% append-map [41] 4.0% parse-loop12 [60] 5.5% loop [65] 88.9% [65] 10102(64.3%) 216(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 88.9% taylor-alt [47] 4.0% parse-loop12 [60] 3.5% ??? [70] 2.0% completely-simplify-alt [3] 1.0% ??? [74] 0.3% localize-error [36] 0.1% for-loop [72] 0.1% ...ow-val-first.rkt:357:18 [71] 0.1% ??? [87] 0.0% ->flonum [76] 0.0% --------------------------------------------------------------------- composed [64] 15.4% best-and-tied-at-points [55] 84.6% [66] 1520(9.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [68] 56.3% for-loop [69] 43.7% --------------------------------------------------------------------- map [63] 1.9% loop [67] 98.1% [67] 200(1.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [67] 98.1% ??? [73] 1.9% --------------------------------------------------------------------- errors [66] 100.0% [68] 856(5.4%) 656(4.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 parse-lambda [79] 23.4% --------------------------------------------------------------------- errors [66] 100.0% [69] 664(4.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 66.6% ulp-difference [77] 33.4% --------------------------------------------------------------------- loop [65] 100.0% [70] 400(2.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [75] 100.0% --------------------------------------------------------------------- loop [65] 100.0% [71] 218(1.4%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [91] 100.0% --------------------------------------------------------------------- loop [65] 100.0% [72] 202(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [78] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [73] 200(1.3%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [76] 100.0% --------------------------------------------------------------------- for-loop [69] 6.7% loop [65] 93.3% [74] 6560(41.8%) 456(2.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 60.2% real->bigfloat [83] 32.9% --------------------------------------------------------------------- for-loop [11] 0.9% for-loop [12] 1.1% ??? [84] 2.8% ??? [2] 3.9% ??? [70] 5.1% localize-error [36] 10.7% for-loop [10] 12.9% ??? [82] 13.1% ??? [81] 24.1% loop [57] 24.1% [75] 3922(25.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [81] 24.1% simplify [59] 24.1% ??? [2] 16.9% ??? [82] 13.1% f6 [61] 8.1% parse-loop12 [60] 7.6% ??? [84] 2.8% ??? [6] 1.1% ??? [7] 1.1% ??? [5] 0.9% --------------------------------------------------------------------- ??? [73] 30.2% loop [65] 69.8% [76] 662(4.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 66.5% ??? [85] 33.5% --------------------------------------------------------------------- for-loop [69] 100.0% [77] 222(1.4%) 222(1.4%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 --------------------------------------------------------------------- for-loop [72] 100.0% [78] 202(1.3%) 202(1.3%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 --------------------------------------------------------------------- eval-prog [68] 100.0% [79] 200(1.3%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:393:2 loop [86] 100.0% --------------------------------------------------------------------- ??? [74] 100.0% [80] 3948(25.1%) 672(4.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 76.5% ...higher-order.rkt:373:33 [88] 6.5% --------------------------------------------------------------------- hash-ref! [75] 100.0% [81] 3304(21.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [75] 100.0% --------------------------------------------------------------------- hash-ref! [75] 100.0% [82] 2222(14.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [75] 100.0% --------------------------------------------------------------------- ??? [74] 100.0% [83] 2156(13.7%) 958(6.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [92] 55.6% --------------------------------------------------------------------- hash-ref! [75] 100.0% [84] 444(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [75] 100.0% --------------------------------------------------------------------- ->flonum [76] 100.0% [85] 222(1.4%) 222(1.4%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 --------------------------------------------------------------------- parse-lambda [79] 100.0% [86] 200(1.3%) 200(1.3%) loop .../collects/racket/private/stxcase.rkt:112:7 --------------------------------------------------------------------- loop [65] 6.2% ??? [80] 93.8% [87] 3220(20.5%) 742(4.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfhypot [89] 32.4% bfcbrt [90] 29.1% ??? [94] 15.5% --------------------------------------------------------------------- ??? [80] 100.0% [88] 256(1.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% --------------------------------------------------------------------- ??? [87] 100.0% [89] 1044(6.6%) 506(3.2%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [92] 51.5% --------------------------------------------------------------------- ??? [87] 100.0% [90] 936(6.0%) 708(4.5%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [92] 24.4% --------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [71] 46.0% ...higher-order.rkt:373:33 [88] 54.0% [91] 474(3.0%) 218(1.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 54.0% --------------------------------------------------------------------- bfcbrt [90] 11.6% bfhypot [89] 27.4% real->bigfloat [83] 61.0% [92] 1964(12.5%) 1964(12.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [91] 100.0% [93] 256(1.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% --------------------------------------------------------------------- ??? [93] 21.4% ->flonum [76] 36.9% ??? [87] 41.7% [94] 1194(7.6%) 256(1.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 78.6% --------------------------------------------------------------------- ??? [94] 100.0% [95] 938(6.0%) 200(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 78.7% --------------------------------------------------------------------- ??? [95] 100.0% [96] 738(4.7%) 738(4.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------