Profiling results ----------------- Total cpu time observed: 59170ms (out of 60032ms) Number of samples taken: 221 (once every 268ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 106 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [43] 100.0% [1] 57762(97.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [2] 10756(18.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 51.1% loop [9] 42.7% finalize-table! [12] 6.2% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [3] 6930(11.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [44] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [4] 4396(7.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 75.3% iterate-egraph!5 [20] 10.1% for-loop [13] 10.1% loop [44] 4.5% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [5] 436(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [6] 216(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [7] 216(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.6% [8] 57984(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [43] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 8.7% ??? [43] 91.3% [9] 52768(89.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [18] 53.5% make-exacts* [24] 30.9% loop [25] 14.3% for-loop [21] 1.3% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 5498(9.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [53] 11.8% simplify [4] 88.2% [11] 3752(6.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 93.6% mk-egraph [23] 6.4% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 662(1.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [22] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [13] 442(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [14] 436(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [74] 100.0% ---------------------------------------------------------------------- loop [15] 98.4% [15] 220(0.4%) 220(0.4%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [15] 98.4% ---------------------------------------------------------------------- ??? [7] 100.0% [16] 216(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [17] 216(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [80] 100.0% ---------------------------------------------------------------------- loop [9] 100.0% [18] 28222(47.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [25] 39.9% make-exacts* [24] 35.6% eval-prog [69] 24.5% ---------------------------------------------------------------------- for-loop [10] 100.0% [19] 5498(9.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 80.0% finalize-iter! [28] 8.4% gen-series! [30] 7.9% choose-best-alt! [33] 3.7% ---------------------------------------------------------------------- for-loop [13] 10.1% simplify [4] 10.1% simplify-expr [11] 79.8% [20] 4396(7.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 100.0% ---------------------------------------------------------------------- loop [9] 100.0% [21] 666(1.1%) 222(0.4%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [29] 66.7% ---------------------------------------------------------------------- finalize-table! [12] 100.0% [22] 662(1.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [44] 33.5% completely-simplify-alt [53] 33.2% localize-error [32] 33.2% ---------------------------------------------------------------------- simplify-expr [11] 100.0% [23] 242(0.4%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [31] 100.0% ---------------------------------------------------------------------- loop [18] 38.1% loop [9] 61.9% [24] 26380(44.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [34] 47.1% loop [44] 37.7% eval-prog [69] 15.2% ---------------------------------------------------------------------- loop [9] 40.2% loop [18] 59.8% [25] 18808(31.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [34] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [26] 4396(7.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [35] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [27] 4396(7.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [36] 71.2% loop [37] 24.2% apply-match [46] 4.5% ---------------------------------------------------------------------- run-iter! [19] 100.0% [28] 460(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [38] 100.0% ---------------------------------------------------------------------- for-loop [21] 100.0% [29] 444(0.8%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [40] 50.5% sample-default [41] 49.5% ---------------------------------------------------------------------- run-iter! [19] 100.0% [30] 436(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [39] 100.0% ---------------------------------------------------------------------- expr->enode [31] 50.0% mk-egraph [23] 50.0% [31] 242(0.4%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [31] 50.0% mk-enode! [60] 50.0% ---------------------------------------------------------------------- post-process [22] 100.0% [32] 220(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [33] 206(0.3%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 debug-print [42] 100.0% ---------------------------------------------------------------------- f37 [86] 1.4% make-exacts* [24] 39.2% loop [25] 59.4% [34] 31658(53.5%) 168(0.3%) map ...acket/collects/racket/private/map.rkt:21:13 loop [44] 98.1% ---------------------------------------------------------------------- simplify! [26] 100.0% [35] 4396(7.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [43] 100.0% ---------------------------------------------------------------------- for-loop [36] 50.0% one-iter [27] 50.0% [36] 3130(5.3%) 422(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 50.0% match-e [45] 43.3% ---------------------------------------------------------------------- one-iter [27] 100.0% [37] 1066(1.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [46] 100.0% ---------------------------------------------------------------------- finalize-iter! [28] 100.0% [38] 460(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [47] 100.0% ---------------------------------------------------------------------- gen-series! [30] 100.0% [39] 436(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [48] 100.0% ---------------------------------------------------------------------- for-loop [29] 100.0% [40] 224(0.4%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [49] 100.0% ---------------------------------------------------------------------- for-loop [29] 100.0% [41] 220(0.4%) 220(0.4%) sample-default ...rc/syntax/distributions.rkt:11:0 ---------------------------------------------------------------------- choose-best-alt! [33] 100.0% [42] 206(0.3%) 206(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- for-loop [35] 2.5% run [8] 48.1% [43] 58928(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.8% loop [9] 41.9% run-improve58 [2] 7.9% simplify [4] 2.5% ---------------------------------------------------------------------- post-process [22] 0.1% make-exacts* [24] 0.2% simplify [4] 0.4% loop! [50] 0.6% map [34] 1.5% ??? [3] 14.1% loop [44] 82.5% [44] 49002(82.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [44] 82.5% hash-ref! [74] 14.1% ??? [73] 1.8% loop! [50] 0.6% completely-simplify-alt [53] 0.1% ->flonum [51] 0.0% ---------------------------------------------------------------------- for-loop [58] 11.0% for-loop [36] 89.0% [45] 2708(4.6%) 2306(3.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [55] 14.8% for-loop [58] 11.0% ---------------------------------------------------------------------- one-iter [27] 15.8% loop [37] 84.2% [46] 1266(2.1%) 200(0.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [50] 49.3% merge-egraph-nodes! [56] 19.1% substitute-e [57] 15.8% ---------------------------------------------------------------------- ??? [38] 100.0% [47] 460(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [52] 100.0% ---------------------------------------------------------------------- for-loop [39] 100.0% [48] 436(0.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [54] 100.0% ---------------------------------------------------------------------- sample-double [40] 100.0% [49] 224(0.4%) 224(0.4%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- loop [44] 33.8% apply-match [46] 66.2% [50] 624(1.1%) 404(0.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [44] 33.8% custom-set-union [63] 17.6% ---------------------------------------------------------------------- loop [44] 100.0% [51] 470(0.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [97] 100.0% ---------------------------------------------------------------------- for-loop [47] 100.0% [52] 460(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [59] 100.0% ---------------------------------------------------------------------- post-process [22] 49.8% loop [44] 50.2% [53] 442(0.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ---------------------------------------------------------------------- taylor-alt [48] 100.0% [54] 436(0.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [61] 100.0% ---------------------------------------------------------------------- match-e [45] 100.0% [55] 402(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 50.2% list-cartesian-product [64] 49.8% ---------------------------------------------------------------------- apply-match [46] 100.0% [56] 242(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [62] 100.0% ---------------------------------------------------------------------- apply-match [46] 100.0% [57] 200(0.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [60] 100.0% ---------------------------------------------------------------------- for-loop [55] 25.2% match-e [45] 74.8% [58] 800(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 74.8% ??? [68] 25.2% ---------------------------------------------------------------------- atab-add-altn [52] 100.0% [59] 460(0.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 100.0% ---------------------------------------------------------------------- substitute-e [57] 45.2% expr->enode [31] 54.8% [60] 442(0.7%) 442(0.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- for-loop [54] 41.7% location-do [61] 58.3% [61] 436(0.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [61] 58.3% approximate9 [66] 41.7% ---------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [62] 242(0.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [67] 100.0% ---------------------------------------------------------------------- loop! [50] 100.0% [63] 220(0.4%) 220(0.4%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- list-cartesian-product [64] 50.0% for-loop [55] 50.0% [64] 200(0.3%) 200(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [64] 50.0% ---------------------------------------------------------------------- best-and-tied-at-points [59] 100.0% [65] 460(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [69] 52.2% for-loop [70] 47.8% ---------------------------------------------------------------------- location-do [61] 100.0% [66] 436(0.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [71] 50.5% f37 [86] 49.5% ---------------------------------------------------------------------- enode-merge! [62] 100.0% [67] 242(0.4%) 242(0.4%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ---------------------------------------------------------------------- for-loop [58] 100.0% [68] 202(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [72] 100.0% ---------------------------------------------------------------------- errors [65] 2.1% make-exacts* [24] 35.9% loop [18] 61.9% [69] 11166(18.9%) 240(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [74] 88.7% inductor [75] 7.5% ??? [76] 1.6% ---------------------------------------------------------------------- errors [65] 100.0% [70] 220(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 100.0% ---------------------------------------------------------------------- approximate9 [66] 100.0% [71] 220(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [68] 100.0% [72] 202(0.3%) 202(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- for-loop [70] 0.5% loop [44] 99.5% [73] 40758(68.9%) 1392(2.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [77] 62.9% real->bigfloat [78] 23.5% ??? [95] 9.6% ---------------------------------------------------------------------- for-loop [16] 0.7% loop [71] 0.7% localize-error [32] 0.7% for-loop [14] 1.4% loop [44] 44.2% eval-prog [69] 49.6% [74] 10560(17.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [79] 49.6% ??? [3] 44.2% ??? [5] 1.4% f37 [86] 0.7% simplify [80] 0.7% ??? [7] 0.7% ??? [6] 0.7% ---------------------------------------------------------------------- inductor [75] 50.0% eval-prog [69] 50.0% [75] 842(1.4%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [75] 50.0% real->bigfloat [78] 50.0% ---------------------------------------------------------------------- eval-prog [69] 100.0% [76] 180(0.3%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [81] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [77] 25650(43.3%) 668(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 62.0% bf* [88] 14.0% ...higher-order.rkt:373:33 [84] 11.4% bffma [85] 9.4% ...ow-val-first.rkt:357:18 [89] 0.7% ---------------------------------------------------------------------- inductor [75] 8.1% ??? [73] 91.9% [78] 10434(17.6%) 8178(13.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 21.6% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [79] 9904(16.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [82] 58.4% sig+exp->bigfloat [83] 41.6% ---------------------------------------------------------------------- for-loop [17] 49.5% hash-ref! [74] 50.5% [80] 436(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 simplify-node [87] 50.5% f37 [86] 49.5% ---------------------------------------------------------------------- ??? [76] 100.0% [81] 180(0.3%) 180(0.3%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ---------------------------------------------------------------------- bigfloat-hash [79] 100.0% [82] 5782(9.8%) 5782(9.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [79] 100.0% [83] 4122(7.0%) 4122(7.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [77] 100.0% [84] 2912(4.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 77.3% ??? [95] 22.7% ---------------------------------------------------------------------- ??? [77] 100.0% [85] 2404(4.1%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [88] 61.6% ...ow-val-first.rkt:357:18 [89] 38.4% ---------------------------------------------------------------------- simplify [80] 16.5% f37 [86] 16.5% approximate9 [66] 16.5% hash-ref! [74] 50.5% [86] 436(0.7%) 0(0.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [34] 67.0% f37 [86] 16.5% make-keyword-procedure [91] 16.5% ---------------------------------------------------------------------- simplify [80] 100.0% [87] 220(0.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [90] 100.0% ---------------------------------------------------------------------- bffma [85] 29.2% ??? [77] 70.8% [88] 5072(8.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [77] 15.7% bffma [85] 84.3% [89] 1096(1.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- simplify-node [87] 100.0% [90] 220(0.4%) 220(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 ---------------------------------------------------------------------- f37 [86] 100.0% [91] 216(0.4%) 216(0.4%) make-keyword-procedure ...ket/private/kw.rkt:216:4 ---------------------------------------------------------------------- bf* [88] 24.2% ??? [77] 75.8% [92] 20974(35.4%) 3218(5.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [94] 40.0% bfsqrt [96] 23.5% ??? [97] 21.1% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [89] 32.7% ...higher-order.rkt:373:33 [84] 67.3% [93] 3348(5.7%) 214(0.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 93.6% ---------------------------------------------------------------------- ??? [92] 100.0% [94] 8400(14.2%) 6874(11.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 18.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [84] 8.6% ??? [93] 40.7% ??? [73] 50.7% [95] 7696(13.0%) 216(0.4%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 97.2% ---------------------------------------------------------------------- ??? [92] 100.0% [96] 4922(8.3%) 4720(8.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 4.1% ---------------------------------------------------------------------- ->flonum [51] 3.8% ??? [92] 35.8% ??? [95] 60.4% [97] 12384(20.9%) 4708(8.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 62.0% ---------------------------------------------------------------------- bfsqrt [96] 5.1% bfmul [94] 38.3% real->bigfloat [78] 56.6% [98] 3984(6.7%) 3984(6.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 7676(13.0%) 4004(6.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 47.8% ---------------------------------------------------------------------- ??? [99] 100.0% [100] 3672(6.2%) 3672(6.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------