Profiling results ----------------- Total cpu time observed: 22530ms (out of 22968ms) Number of samples taken: 96 (once every 235ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 100 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [12] 100.0% [1] 21456(95.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- location-do [73] 100.0% [2] 1688(7.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [8] 100.0% --------------------------------------------------------------------- copying-mergesort [46] 100.0% [3] 938(4.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [9] 100.0% --------------------------------------------------------------------- hash-ref! [55] 100.0% [4] 220(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% --------------------------------------------------------------------- hash-ref! [55] 100.0% [5] 220(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [10] 100.0% --------------------------------------------------------------------- loop [70] 100.0% [6] 200(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [55] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 99.0% [7] 21676(96.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [12] 100.0% --------------------------------------------------------------------- approximate9 [2] 100.0% [8] 1688(7.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [55] 100.0% --------------------------------------------------------------------- loop [50] 33.1% jloop [3] 66.9% [9] 1402(6.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [53] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [10] 220(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [55] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [11] 220(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [55] 100.0% --------------------------------------------------------------------- for-loop [32] 1.7% run [7] 49.0% [12] 22078(98.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.0% loop [13] 37.0% run-improve58 [14] 13.4% simplify [15] 1.7% --------------------------------------------------------------------- ??? [12] 100.0% [13] 16114(71.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [21] 59.1% loop [16] 38.0% loop [22] 1.5% --------------------------------------------------------------------- ??? [12] 100.0% [14] 5964(26.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [17] 37.0% get-final-combination [18] 34.0% finalize-table! [19] 29.0% --------------------------------------------------------------------- ??? [12] 100.0% [15] 1004(4.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [79] 40.0% for-loop [20] 39.8% simplify-expr [77] 20.1% --------------------------------------------------------------------- loop [13] 100.0% [16] 6130(27.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [22] 63.8% make-exacts* [21] 36.2% --------------------------------------------------------------------- run-improve58 [14] 100.0% [17] 2204(9.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% --------------------------------------------------------------------- run-improve58 [14] 100.0% [18] 2028(9.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [24] 100.0% --------------------------------------------------------------------- run-improve58 [14] 100.0% [19] 1732(7.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [25] 100.0% --------------------------------------------------------------------- simplify [15] 100.0% [20] 400(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [79] 100.0% --------------------------------------------------------------------- loop [16] 18.9% loop [13] 81.1% [21] 11738(52.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [66] 55.8% loop [70] 40.3% eval-prog [53] 3.9% --------------------------------------------------------------------- loop [13] 5.9% loop [16] 94.1% [22] 4156(18.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% --------------------------------------------------------------------- for-loop [17] 100.0% [23] 2204(9.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [28] 45.6% gen-series! [29] 27.2% finalize-iter! [30] 18.1% localize-error [43] 9.1% --------------------------------------------------------------------- get-final-combination [18] 100.0% [24] 2028(9.0%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [26] 89.3% ??? [33] 10.7% --------------------------------------------------------------------- finalize-table! [19] 100.0% [25] 1732(7.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [27] 62.8% loop [70] 24.5% completely-simplify-alt [74] 12.7% --------------------------------------------------------------------- split-table [24] 100.0% [26] 1810(8.0%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [31] 89.0% exprs-to-branch-on [35] 11.0% --------------------------------------------------------------------- post-process [25] 100.0% [27] 1088(4.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [67] 100.0% --------------------------------------------------------------------- run-iter! [23] 100.0% [28] 1004(4.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% --------------------------------------------------------------------- run-iter! [23] 100.0% [29] 600(2.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% --------------------------------------------------------------------- run-iter! [23] 100.0% [30] 400(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% --------------------------------------------------------------------- infer-splitpoints4 [26] 100.0% [31] 1610(7.1%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [36] 87.1% pick-errors [39] 12.9% --------------------------------------------------------------------- simplify! [28] 100.0% [32] 1004(4.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [12] 100.0% --------------------------------------------------------------------- split-table [24] 35.3% finalize-iter! [30] 64.7% [33] 618(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 64.7% split-atab [38] 35.3% --------------------------------------------------------------------- gen-series! [29] 100.0% [34] 600(2.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [68] 100.0% --------------------------------------------------------------------- infer-splitpoints4 [26] 100.0% [35] 200(0.9%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:41:0 critical-subexpression [40] 100.0% --------------------------------------------------------------------- option-on-expr [31] 100.0% [36] 1402(6.2%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [41] 100.0% --------------------------------------------------------------------- ??? [33] 100.0% [37] 400(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% --------------------------------------------------------------------- ??? [33] 100.0% [38] 218(1.0%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [44] 100.0% --------------------------------------------------------------------- option-on-expr [31] 100.0% [39] 208(0.9%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [45] 100.0% --------------------------------------------------------------------- exprs-to-branch-on [35] 100.0% [40] 200(0.9%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:49:0 localize-error [43] 100.0% --------------------------------------------------------------------- sort-context-on-expr [36] 100.0% [41] 1402(6.2%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [46] 82.7% loop [50] 17.3% --------------------------------------------------------------------- for-loop [37] 100.0% [42] 400(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% --------------------------------------------------------------------- run-iter! [23] 50.0% critical-subexpression [40] 50.0% [43] 400(1.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 for-loop [49] 50.0% hash-ref! [55] 50.0% --------------------------------------------------------------------- split-atab [38] 100.0% [44] 218(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [48] 100.0% --------------------------------------------------------------------- pick-errors [39] 100.0% [45] 208(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [53] 100.0% --------------------------------------------------------------------- sort [41] 39.4% copying-mergesort [46] 60.6% [46] 1160(5.1%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [46] 60.6% jloop [3] 20.2% loop [50] 19.1% --------------------------------------------------------------------- atab-add-altn [42] 100.0% [47] 400(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% --------------------------------------------------------------------- for-loop [44] 100.0% [48] 218(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [52] 100.0% --------------------------------------------------------------------- localize-error [43] 100.0% [49] 200(0.9%) 200(0.9%) for-loop ...ock/herbie/src/core/localize.rkt:49:34 --------------------------------------------------------------------- copying-mergesort [46] 47.8% sort [41] 52.2% [50] 464(2.1%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [9] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [51] 400(1.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [54] 100.0% --------------------------------------------------------------------- for-loop [48] 100.0% [52] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [53] 100.0% --------------------------------------------------------------------- for-loop [45] 9.1% ??? [52] 9.5% make-exacts* [21] 20.0% ??? [9] 61.3% [53] 2286(10.1%) 1610(7.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [55] 20.0% parse-lambda [56] 9.5% --------------------------------------------------------------------- errors [51] 100.0% [54] 400(1.8%) 200(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [72] 50.0% --------------------------------------------------------------------- for-loop [11] 2.3% for-loop [10] 2.3% ??? [6] 4.3% localize-error [43] 4.3% eval-prog [53] 6.8% ??? [59] 12.0% loop [70] 12.8% ??? [57] 27.6% loop [8] 27.6% [55] 2346(10.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [57] 27.6% simplify [58] 27.6% ??? [61] 12.8% ??? [59] 12.0% bigfloat-hash [60] 6.8% parse-loop12 [69] 4.3% f6 [62] 4.3% ??? [5] 2.3% ??? [4] 2.3% --------------------------------------------------------------------- eval-prog [53] 100.0% [56] 218(1.0%) 218(1.0%) parse-lambda ...llects/racket/private/kw.rkt:393:2 --------------------------------------------------------------------- hash-ref! [55] 100.0% [57] 1688(7.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [55] 100.0% --------------------------------------------------------------------- hash-ref! [55] 100.0% [58] 1688(7.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [69] 62.0% f6 [62] 24.9% simplify-node [65] 13.2% --------------------------------------------------------------------- hash-ref! [55] 100.0% [59] 844(3.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [55] 100.0% --------------------------------------------------------------------- hash-ref! [55] 100.0% [60] 458(2.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [63] 51.1% sig+exp->bigfloat [64] 48.9% --------------------------------------------------------------------- hash-ref! [55] 100.0% [61] 458(2.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [70] 100.0% --------------------------------------------------------------------- map [66] 25.8% hash-ref! [55] 32.3% simplify [58] 41.9% [62] 620(2.8%) 220(1.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [66] 64.5% --------------------------------------------------------------------- bigfloat-hash [60] 100.0% [63] 234(1.0%) 234(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- bigfloat-hash [60] 100.0% [64] 224(1.0%) 224(1.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- simplify [58] 100.0% [65] 222(1.0%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [67] 100.0% --------------------------------------------------------------------- f6 [62] 3.2% parse-loop12 [69] 3.9% loop [22] 36.0% make-exacts* [21] 56.8% [66] 11532(51.2%) 200(0.9%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 96.5% parse-loop12 [69] 2.0% f6 [62] 1.2% --------------------------------------------------------------------- simplify-node [65] 10.2% for-loop [27] 89.8% [67] 1088(4.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [68] 89.8% loop [70] 10.2% --------------------------------------------------------------------- for-loop [34] 35.5% append-map [67] 64.5% [68] 1688(7.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [71] 100.0% --------------------------------------------------------------------- parse-loop12 [69] 3.5% hash-ref! [55] 13.8% map [66] 18.4% loop [70] 26.2% simplify [58] 38.0% [69] 1446(6.4%) 1046(4.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [70] 32.3% map [66] 26.1% parse-loop12 [69] 3.5% --------------------------------------------------------------------- make-exacts* [21] 0.1% post-process [25] 0.4% append-map [67] 1.2% ??? [61] 1.7% parse-loop12 [69] 2.4% map [66] 2.7% loop [70] 91.5% [70] 17798(79.0%) 222(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 91.5% parse-loop12 [69] 2.7% ??? [72] 2.3% hash-ref! [55] 1.7% completely-simplify-alt [74] 0.4% ??? [6] 0.0% --------------------------------------------------------------------- taylor-alt [68] 100.0% [71] 1688(7.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [73] 100.0% --------------------------------------------------------------------- for-loop [54] 1.3% loop [70] 98.7% [72] 15870(70.4%) 434(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [75] 91.8% real->bigfloat [76] 5.5% --------------------------------------------------------------------- for-loop [71] 19.6% location-do [73] 80.4% [73] 1688(7.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [73] 80.4% approximate9 [2] 19.6% --------------------------------------------------------------------- post-process [25] 34.2% loop [70] 65.8% [74] 644(2.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [77] 100.0% --------------------------------------------------------------------- ??? [72] 100.0% [75] 14564(64.6%) 478(2.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [78] 92.0% ...higher-order.rkt:373:33 [80] 3.1% ...higher-order.rkt:369:33 [81] 1.6% --------------------------------------------------------------------- ??? [72] 100.0% [76] 872(3.9%) 872(3.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- simplify [15] 23.9% completely-simplify-alt [74] 76.1% [77] 846(3.8%) 222(1.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [79] 73.8% --------------------------------------------------------------------- ??? [75] 100.0% [78] 13396(59.5%) 5506(24.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [82] 31.2% bfdiv [83] 20.7% ??? [90] 7.0% --------------------------------------------------------------------- for-loop [20] 28.1% simplify [15] 28.2% simplify-expr [77] 43.8% [79] 1426(6.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [84] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [80] 454(2.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [85] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [81] 236(1.0%) 236(1.0%) ...higher-order.rkt:369:33 (unknown source) --------------------------------------------------------------------- ??? [78] 100.0% [82] 4180(18.6%) 3506(15.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [86] 16.1% --------------------------------------------------------------------- ??? [78] 100.0% [83] 2770(12.3%) 1128(5.0%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [86] 59.3% --------------------------------------------------------------------- iterate-egraph!5 [79] 100.0% [84] 1426(6.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [87] 57.6% loop [88] 28.2% apply-match [92] 14.2% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [80]100.0% [85] 454(2.0%) 234(1.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [89] 48.5% --------------------------------------------------------------------- bfsqr [82] 29.1% bfdiv [83] 70.9% [86] 2316(10.3%) 2316(10.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- for-loop [87] 50.0% one-iter [84] 50.0% [87] 822(3.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [87] 50.0% match-e [91] 50.0% --------------------------------------------------------------------- one-iter [84] 100.0% [88] 402(1.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [92] 100.0% --------------------------------------------------------------------- ??? [85] 100.0% [89] 220(1.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [90] 100.0% --------------------------------------------------------------------- ??? [89] 19.0% ??? [78] 81.0% [90] 1160(5.1%) 244(1.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [93] 79.0% --------------------------------------------------------------------- for-loop [87] 100.0% [91] 822(3.6%) 822(3.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 --------------------------------------------------------------------- one-iter [84] 33.4% loop [88] 66.6% [92] 604(2.7%) 202(0.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 mk-enode! [94] 33.4% merge-egraph-nodes! [95] 33.1% --------------------------------------------------------------------- ??? [90] 100.0% [93] 916(4.1%) 234(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 74.5% --------------------------------------------------------------------- apply-match [92] 100.0% [94] 202(0.9%) 202(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- apply-match [92] 100.0% [95] 200(0.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [97] 100.0% --------------------------------------------------------------------- ??? [93] 100.0% [96] 682(3.0%) 682(3.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- merge-egraph-nodes! [95] 100.0% [97] 200(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [98] 100.0% --------------------------------------------------------------------- update-leader! [97] 100.0% [98] 200(0.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 ---------------------------------------------------------------------