Profiling results ----------------- Total cpu time observed: 23824ms (out of 24136ms) Number of samples taken: 106 (once every 225ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 99 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [26] 100.0% [1] 22782(95.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% --------------------------------------------------------------------- ??? [26] 100.0% [2] 13940(58.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 96.7% setup-prog [8] 1.7% get-final-combination [9] 1.6% --------------------------------------------------------------------- loop [70] 1.8% ??? [26] 98.2% [3] 12352(51.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 63.2% iterate-egraph!5 [11] 20.1% for-loop [7] 15.1% loop [12] 1.6% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 22782(95.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 13478(56.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [6] 7810(32.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 92.3% loop [12] 7.7% --------------------------------------------------------------------- simplify [3] 100.0% [7] 1860(7.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 240(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 ??? [23] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 222(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% --------------------------------------------------------------------- for-loop [5] 100.0% [10] 13478(56.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 90.0% finalize-iter! [16] 6.6% gen-series! [18] 3.4% --------------------------------------------------------------------- for-loop [7] 16.1% simplify [3] 21.5% simplify-expr [6] 62.4% [11] 11548(48.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 96.5% map-enodes [19] 3.5% --------------------------------------------------------------------- simplify [3] 24.9% simplify-expr [6] 75.1% [12] 804(3.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [17] 100.0% --------------------------------------------------------------------- get-final-combination [9] 100.0% [13] 222(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [70] 100.0% --------------------------------------------------------------------- run-iter! [10] 100.0% [14] 12130(50.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [20] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [15] 11148(46.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [21] 64.9% loop [22] 29.7% apply-match [27] 5.4% --------------------------------------------------------------------- run-iter! [10] 100.0% [16] 886(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [23] 100.0% --------------------------------------------------------------------- loop [12] 100.0% [17] 804(3.4%) 200(0.8%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [24] 75.1% --------------------------------------------------------------------- run-iter! [10] 100.0% [18] 462(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [19] 400(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [70] 100.0% --------------------------------------------------------------------- simplify! [14] 100.0% [20] 12130(50.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% --------------------------------------------------------------------- for-loop [21] 50.0% one-iter [15] 50.0% [21] 7240(30.4%) 822(3.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 50.0% match-e [34] 44.3% --------------------------------------------------------------------- one-iter [15] 100.0% [22] 3306(13.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [27] 100.0% --------------------------------------------------------------------- setup-prog [8] 21.3% finalize-iter! [16] 78.7% [23] 1126(4.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 78.7% make-alt-table [31] 21.3% --------------------------------------------------------------------- pass [17] 100.0% [24] 604(2.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [30] 66.6% loop [32] 33.4% --------------------------------------------------------------------- gen-series! [18] 100.0% [25] 462(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [29] 100.0% --------------------------------------------------------------------- for-loop [20] 17.7% run [4] 40.3% [26] 23604(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.3% run-improve58 [2] 21.5% loop [33] 20.5% simplify [3] 17.7% --------------------------------------------------------------------- one-iter [15] 15.4% loop [22] 84.6% [27] 3908(16.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 52.9% match-e [34] 21.0% for-loop [36] 21.0% substitute-e [39] 5.1% --------------------------------------------------------------------- ??? [23] 100.0% [28] 886(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% --------------------------------------------------------------------- for-loop [25] 100.0% [29] 462(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% --------------------------------------------------------------------- for-loop [24] 100.0% [30] 402(1.7%) 402(1.7%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- ??? [23] 100.0% [31] 240(1.0%) 0(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 errors [52] 100.0% --------------------------------------------------------------------- for-loop [24] 100.0% [32] 202(0.8%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [38] 100.0% --------------------------------------------------------------------- ??? [26] 100.0% [33] 9664(40.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [47] 58.6% loop [40] 39.1% filter-exacts [45] 2.3% --------------------------------------------------------------------- apply-match [27] 7.1% for-loop [49] 13.5% for-loop [21] 79.4% [34] 7240(30.4%) 3806(16.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 43.0% for-loop [49] 9.6% list-cartesian-product [51] 2.8% --------------------------------------------------------------------- for-loop [28] 100.0% [35] 886(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 74.9% loop [70] 25.1% --------------------------------------------------------------------- apply-match [27] 100.0% [36] 820(3.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [80] 75.6% merge-egraph-nodes! [42] 24.4% --------------------------------------------------------------------- taylor-alt [29] 100.0% [37] 462(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% --------------------------------------------------------------------- loop [32] 100.0% [38] 202(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [46] 100.0% --------------------------------------------------------------------- substitute-e [39] 50.0% apply-match [27] 50.0% [39] 198(0.8%) 198(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [39] 50.0% --------------------------------------------------------------------- loop [33] 100.0% [40] 3776(15.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 70.1% make-exacts* [47] 29.9% --------------------------------------------------------------------- match-e [34] 100.0% [41] 3672(15.4%) 1026(4.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 42.1% list-cartesian-product [51] 21.7% curry* [55] 5.5% loop [70] 2.8% --------------------------------------------------------------------- for-loop [36] 8.8% apply-match [27] 91.2% [42] 2268(9.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 91.2% loop! [80] 8.8% --------------------------------------------------------------------- atab-add-altn [35] 100.0% [43] 664(2.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 100.0% --------------------------------------------------------------------- location-do [44] 43.7% for-loop [37] 56.3% [44] 462(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 56.3% location-do [44] 43.7% --------------------------------------------------------------------- loop [33] 100.0% [45] 224(0.9%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 for-loop [54] 100.0% --------------------------------------------------------------------- expression-cost [38] 100.0% [46] 202(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [68] 100.0% --------------------------------------------------------------------- loop [40] 16.6% loop [33] 83.4% [47] 6794(28.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 54.4% loop [70] 45.6% --------------------------------------------------------------------- loop [40] 100.0% [48] 2646(11.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% --------------------------------------------------------------------- match-e [34] 38.2% for-loop [41] 61.8% [49] 2488(10.4%) 602(2.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 71.7% ??? [63] 8.1% --------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [50] 2068(8.7%) 402(1.7%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 71.2% mutable-set [65] 9.4% --------------------------------------------------------------------- list-cartesian-product [51] 10.0% match-e [34] 10.0% for-loop [41] 80.0% [51] 998(4.2%) 596(2.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [59] 30.3% list-cartesian-product [51] 10.0% --------------------------------------------------------------------- make-alt-table [31] 26.5% best-and-tied-at-points [43] 73.5% [52] 904(3.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 75.7% eval-prog [61] 24.3% --------------------------------------------------------------------- location-do [44] 100.0% [53] 462(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [90] 52.4% loop [62] 47.6% --------------------------------------------------------------------- filter-exacts [45] 100.0% [54] 224(0.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:111:4 andmap [60] 100.0% --------------------------------------------------------------------- for-loop [41] 100.0% [55] 202(0.8%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [64] 100.0% --------------------------------------------------------------------- f37 [90] 3.7% loop [48] 40.2% make-exacts* [47] 56.1% [56] 6584(27.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 96.3% taylor-invert [69] 3.7% --------------------------------------------------------------------- update-leader! [50] 100.0% [57] 1472(6.2%) 202(0.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 86.3% --------------------------------------------------------------------- errors [52] 100.0% [58] 684(2.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [66] 100.0% --------------------------------------------------------------------- list-cartesian-product [51] 100.0% [59] 402(1.7%) 402(1.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- for-loop [54] 100.0% [60] 224(0.9%) 224(0.9%) andmap ...et/collects/racket/private/map.rkt:75:13 --------------------------------------------------------------------- errors [52] 100.0% [61] 220(0.9%) 220(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- approximate9 [53] 100.0% [62] 220(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% --------------------------------------------------------------------- for-loop [49] 100.0% [63] 202(0.8%) 202(0.8%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 --------------------------------------------------------------------- curry* [55] 100.0% [64] 202(0.8%) 202(0.8%) procedure-arity ...ket/private/norm-arity.rkt:7:27 --------------------------------------------------------------------- update-leader! [50] 100.0% [65] 194(0.8%) 194(0.8%) mutable-set ...racket/private/set-types.rkt:1000:0 --------------------------------------------------------------------- for-loop [58] 6.8% loop [70] 93.2% [66] 10124(42.5%) 896(3.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 53.7% loop [70] 16.8% real->bigfloat [77] 9.0% ??? [94] 7.3% ->flonum [81] 4.4% --------------------------------------------------------------------- for-loop [57] 100.0% [67] 1270(5.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [72] 100.0% --------------------------------------------------------------------- ??? [75] 26.1% loop [62] 26.1% compile [46] 47.9% [68] 422(1.8%) 202(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [75] 26.1% ??? [74] 26.1% --------------------------------------------------------------------- map [56] 100.0% [69] 242(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [73] 100.0% --------------------------------------------------------------------- make-exacts* [47] 0.0% map [56] 0.3% map-enodes [19] 0.5% extract-alt [13] 0.6% atab-add-altn [35] 1.0% loop! [80] 1.0% for-loop [41] 1.7% ??? [66] 2.1% loop [70] 92.7% [70] 11546(48.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 92.7% ->flonum [81] 2.1% loop! [80] 1.0% loop [84] 1.0% simplify [3] 0.6% for-loop [83] 0.5% ??? [66] 0.3% real->bigfloat [77] 0.1% --------------------------------------------------------------------- ??? [66] 100.0% [71] 5434(22.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [76] 76.4% ...higher-order.rkt:373:33 [78] 23.6% --------------------------------------------------------------------- for-loop [67] 100.0% [72] 1270(5.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [79] 100.0% --------------------------------------------------------------------- taylor-invert [69] 100.0% [73] 242(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [82] 100.0% --------------------------------------------------------------------- hash-ref! [68] 100.0% [74] 220(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 simplify [82] 100.0% --------------------------------------------------------------------- hash-ref! [68] 100.0% [75] 220(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% --------------------------------------------------------------------- ??? [71] 100.0% [76] 4150(17.4%) 694(2.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [85] 54.1% bflog1p [88] 17.8% ??? [96] 11.3% --------------------------------------------------------------------- ??? [66] 38.4% loop [70] 61.6% [77] 2368(9.9%) 2116(8.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 10.6% --------------------------------------------------------------------- ??? [71] 100.0% [78] 1284(5.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 100.0% --------------------------------------------------------------------- hash-update! [72] 100.0% [79] 1270(5.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [87] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [42] 12.2% for-loop [36] 37.8% loop [70] 50.0% [80] 820(3.4%) 200(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [70] 50.0% update-en-expr [91] 25.6% set [92] 12.2% --------------------------------------------------------------------- loop [70] 35.1% ??? [66] 64.9% [81] 684(2.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 100.0% --------------------------------------------------------------------- ??? [74] 47.6% first-nonzero-exp [73] 52.4% [82] 462(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [90] 100.0% --------------------------------------------------------------------- loop [70] 100.0% [83] 400(1.7%) 200(0.8%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [93] 50.0% --------------------------------------------------------------------- loop [70] 1.2% loop [84] 98.8% [84] 222(0.9%) 222(0.9%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [84] 98.8% --------------------------------------------------------------------- ??? [76] 100.0% [85] 2246(9.4%) 1634(6.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 27.2% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [78]100.0% [86] 1284(5.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [87] 1270(5.3%) 1270(5.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- ??? [76] 100.0% [88] 740(3.1%) 248(1.0%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 66.5% --------------------------------------------------------------------- ->flonum [81] 100.0% [89] 684(2.9%) 684(2.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- approximate9 [53] 26.2% simplify [82] 73.8% [90] 462(1.9%) 462(1.9%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [56] 26.2% --------------------------------------------------------------------- loop! [80] 100.0% [91] 420(1.8%) 420(1.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- loop! [80] 100.0% [92] 200(0.8%) 200(0.8%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- for-loop [83] 100.0% [93] 200(0.8%) 200(0.8%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 --------------------------------------------------------------------- ??? [66] 36.6% ??? [86] 63.4% [94] 2026(8.5%) 224(0.9%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 88.9% --------------------------------------------------------------------- real->bigfloat [77] 18.6% bflog1p [88] 36.3% bfadd [85] 45.1% [95] 1356(5.7%) 1356(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [76] 20.7% ??? [94] 79.3% [96] 2272(9.5%) 1022(4.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 55.0% --------------------------------------------------------------------- ??? [96] 100.0% [97] 1250(5.2%) 1250(5.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 ---------------------------------------------------------------------