Profiling results ----------------- Total cpu time observed: 101752ms (out of 102668ms) Number of samples taken: 436 (once every 233ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 84 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [32] 100.0% [1] 101328(99.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ------------------------------------------------------------------------ ??? [32] 100.0% [2] 5420(5.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 61.9% loop [7] 26.9% get-final-combination [10] 11.1% ------------------------------------------------------------------------ loop [58] 17.9% ??? [32] 82.1% [3] 2244(2.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 64.3% iterate-egraph!5 [14] 35.7% ------------------------------------------------------------------------ hash-ref! [54] 100.0% [4] 200(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------------ loop [58] 100.0% [5] 142(0.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [54] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [6] 101328(99.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 1.5% ??? [32] 98.5% [7] 97792(96.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [16] 55.7% loop [12] 43.2% loop [17] 1.1% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 3356(3.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 1442(1.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 604(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [11] 200(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [54] 100.0% ------------------------------------------------------------------------ loop [7] 100.0% [12] 42292(41.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [17] 61.3% make-exacts* [16] 38.7% ------------------------------------------------------------------------ for-loop [8] 100.0% [13] 3356(3.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 54.9% finalize-iter! [20] 18.1% gen-series! [21] 16.8% choose-best-alt! [22] 6.0% localize-error [25] 4.2% ------------------------------------------------------------------------ simplify [3] 35.7% simplify-expr [9] 64.3% [14] 2244(2.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 82.2% debug-print [23] 8.9% map-enodes [24] 8.9% ------------------------------------------------------------------------ get-final-combination [10] 100.0% [15] 604(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [58] 66.6% loop [50] 33.4% ------------------------------------------------------------------------ loop [12] 23.1% loop [7] 76.9% [16] 70800(69.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [26] 51.4% loop [58] 48.6% ------------------------------------------------------------------------ loop [7] 3.9% loop [12] 96.1% [17] 26992(26.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [26] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [18] 1844(1.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 78.2% apply-match [36] 11.0% loop [31] 10.8% ------------------------------------------------------------------------ run-iter! [13] 100.0% [19] 1842(1.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ------------------------------------------------------------------------ run-iter! [13] 100.0% [20] 606(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ------------------------------------------------------------------------ run-iter! [13] 100.0% [21] 564(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ------------------------------------------------------------------------ run-iter! [13] 100.0% [22] 202(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [29] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [23] 200(0.2%) 200(0.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------------ iterate-egraph!5 [14] 100.0% [24] 200(0.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [58] 100.0% ------------------------------------------------------------------------ run-iter! [13] 100.0% [25] 142(0.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [54] 100.0% ------------------------------------------------------------------------ f6 [55] 0.5% loop [17] 42.4% make-exacts* [16] 57.1% [26] 63702(62.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 99.3% ??? [68] 0.3% f6 [55] 0.3% ------------------------------------------------------------------------ simplify! [19] 100.0% [27] 1842(1.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ------------------------------------------------------------------------ for-loop [28] 50.0% one-iter [18] 50.0% [28] 1442(1.4%) 622(0.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [33] 28.4% ------------------------------------------------------------------------ choose-best-alt! [22] 25.0% finalize-iter! [20] 75.0% [29] 808(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 75.0% atab-pick-alt8 [37] 25.0% ------------------------------------------------------------------------ gen-series! [21] 100.0% [30] 564(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ------------------------------------------------------------------------ one-iter [18] 100.0% [31] 200(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% ------------------------------------------------------------------------ for-loop [27] 0.6% run [6] 49.5% [32] 101752(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.5% loop [7] 47.5% run-improve58 [2] 2.4% simplify [3] 0.6% ------------------------------------------------------------------------ for-loop [28] 100.0% [33] 820(0.8%) 620(0.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 list-cartesian-product [42] 24.4% ------------------------------------------------------------------------ ??? [29] 100.0% [34] 606(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ------------------------------------------------------------------------ for-loop [30] 100.0% [35] 564(0.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ------------------------------------------------------------------------ loop [31] 49.8% one-iter [18] 50.2% [36] 402(0.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [40] 50.2% substitute-e [43] 49.8% ------------------------------------------------------------------------ ??? [29] 100.0% [37] 202(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [41] 100.0% ------------------------------------------------------------------------ for-loop [34] 100.0% [38] 606(0.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ------------------------------------------------------------------------ taylor-alt [35] 100.0% [39] 564(0.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ------------------------------------------------------------------------ apply-match [36] 100.0% [40] 202(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [46] 100.0% ------------------------------------------------------------------------ atab-pick-alt8 [37] 100.0% [41] 202(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [47] 100.0% ------------------------------------------------------------------------ list-cartesian-product [42] 50.0% match-e [33] 50.0% [42] 200(0.2%) 200(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [42] 50.0% ------------------------------------------------------------------------ apply-match [36] 100.0% [43] 200(0.2%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [48] 100.0% ------------------------------------------------------------------------ atab-add-altn [38] 100.0% [44] 606(0.6%) 202(0.2%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 66.7% ------------------------------------------------------------------------ location-do [45] 23.6% for-loop [39] 76.4% [45] 564(0.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [49] 76.4% location-do [45] 23.6% ------------------------------------------------------------------------ for-loop [40] 100.0% [46] 202(0.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [51] 100.0% ------------------------------------------------------------------------ ??? [41] 100.0% [47] 202(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [50] 100.0% ------------------------------------------------------------------------ substitute-e [43] 100.0% [48] 200(0.2%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [52] 100.0% ------------------------------------------------------------------------ location-do [45] 100.0% [49] 564(0.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [53] 64.5% f6 [55] 35.5% ------------------------------------------------------------------------ best-alt [47] 50.0% extract-alt [15] 50.0% [50] 404(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [59] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [46] 100.0% [51] 202(0.2%) 202(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------------ mk-enode! [48] 100.0% [52] 200(0.2%) 200(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ approximate9 [49] 100.0% [53] 364(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [54] 100.0% ------------------------------------------------------------------------ for-loop [11] 9.9% ??? [5] 14.0% localize-error [25] 14.0% ??? [57] 20.7% ??? [56] 20.7% loop [53] 20.7% [54] 506(0.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [56] 20.7% ??? [57] 20.7% simplify [62] 20.7% parse-loop12 [65] 14.0% f6 [55] 14.0% ??? [4] 9.9% ------------------------------------------------------------------------ append-map [60] 5.3% composed [59] 5.3% simplify [62] 5.3% map [26] 21.1% hash-ref! [54] 26.2% approximate9 [49] 36.9% [55] 542(0.5%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [26] 47.3% loop [58] 36.9% append-map [60] 10.5% composed [59] 5.3% ------------------------------------------------------------------------ hash-ref! [54] 100.0% [56] 364(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [54] 100.0% ------------------------------------------------------------------------ hash-ref! [54] 100.0% [57] 364(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [54] 100.0% ------------------------------------------------------------------------ parse-loop12 [65] 0.0% map-enodes [24] 0.1% extract-alt [15] 0.1% make-exacts* [16] 0.2% f6 [55] 0.2% map [26] 1.1% loop [58] 98.3% [58] 98518(96.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 98.3% ??? [68] 1.3% simplify [62] 0.2% simplify [3] 0.1% ??? [5] 0.0% ??? [74] 0.0% ------------------------------------------------------------------------ f6 [55] 33.1% loop [50] 66.9% [59] 604(0.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [61] 66.9% f6 [55] 33.1% ------------------------------------------------------------------------ f6 [55] 100.0% [60] 200(0.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [55] 50.0% free-variables [63] 50.0% ------------------------------------------------------------------------ composed [59] 50.0% best-and-tied-at-points [44] 50.0% [61] 808(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [64] 75.0% eval-prog [66] 25.0% ------------------------------------------------------------------------ loop [58] 35.5% hash-ref! [54] 64.5% [62] 564(0.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 ??? [67] 35.5% f6 [55] 35.5% parse-loop12 [65] 29.1% ------------------------------------------------------------------------ append-map [60] 100.0% [63] 200(0.2%) 200(0.2%) free-variables ...ock/herbie/src/programs.rkt:89:0 ------------------------------------------------------------------------ errors [61] 100.0% [64] 606(0.6%) 202(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [68] 66.7% ------------------------------------------------------------------------ hash-ref! [54] 46.4% simplify [62] 53.6% [65] 306(0.3%) 164(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [58] 46.4% ------------------------------------------------------------------------ errors [61] 100.0% [66] 202(0.2%) 202(0.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ simplify [62] 100.0% [67] 200(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [69] 100.0% ------------------------------------------------------------------------ map [26] 0.2% for-loop [64] 0.4% loop [58] 99.4% [68] 98196(96.5%) 240(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [70] 98.1% real->bigfloat [71] 1.2% ??? [78] 0.4% ------------------------------------------------------------------------ ??? [67] 100.0% [69] 200(0.2%) 200(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------ ??? [68] 100.0% [70] 96362(94.7%) 640(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [74] 96.1% bf* [72] 2.3% ...higher-order.rkt:373:33 [73] 0.9% ------------------------------------------------------------------------ ??? [68] 100.0% [71] 1162(1.1%) 936(0.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [80] 19.4% ------------------------------------------------------------------------ ??? [70] 100.0% [72] 2254(2.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [74] 100.0% ------------------------------------------------------------------------ ??? [70] 100.0% [73] 908(0.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [75] 74.0% ??? [78] 26.0% ------------------------------------------------------------------------ loop [58] 0.1% bf* [72] 2.4% ??? [70] 97.5% [74] 94956(93.3%) 87174(85.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfcos [76] 4.3% bfmul [77] 2.2% ??? [79] 1.7% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [73]100.0% [75] 672(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [78] 100.0% ------------------------------------------------------------------------ ??? [74] 100.0% [76] 4128(4.1%) 3702(3.6%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [80] 10.3% ------------------------------------------------------------------------ ??? [74] 100.0% [77] 2066(2.0%) 1372(1.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [80] 33.6% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [73] 17.6% ??? [68] 32.2% ??? [75] 50.1% [78] 1340(1.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [79] 100.0% ------------------------------------------------------------------------ ??? [78] 45.8% ??? [74] 54.2% [79] 2928(2.9%) 1366(1.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [81] 45.2% ??? [82] 8.1% ------------------------------------------------------------------------ real->bigfloat [71] 16.8% bfcos [76] 31.6% bfmul [77] 51.6% [80] 1346(1.3%) 1346(1.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [79] 100.0% [81] 1324(1.3%) 888(0.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [83] 32.9% ------------------------------------------------------------------------ ??? [79] 100.0% [82] 238(0.2%) 238(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [81] 100.0% [83] 436(0.4%) 436(0.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------