Profiling results ----------------- Total cpu time observed: 12222ms (out of 12448ms) Number of samples taken: 56 (once every 218ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [39] 100.0% [1] 11804(96.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ ??? [39] 100.0% [2] 8170(66.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 71.9% finalize-table! [12] 18.3% get-final-combination [14] 4.9% loop [44] 2.5% setup-prog [17] 2.4% ------------------------------------------------------------------------ simplify-alt [23] 3.5% loop [76] 7.1% ??? [39] 89.4% [3] 5646(46.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 44.3% iterate-egraph!5 [18] 29.0% for-loop [11] 26.7% ------------------------------------------------------------------------ post-process [20] 21.5% loop [76] 78.5% [4] 1024(8.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ------------------------------------------------------------------------ location-do [54] 100.0% [5] 440(3.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [21] 100.0% [6] 202(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ------------------------------------------------------------------------ hash-ref! [21] 100.0% [7] 202(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [8] 11804(96.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 5872(48.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ------------------------------------------------------------------------ completely-simplify-alt [4] 29.0% simplify [3] 71.0% [10] 3526(28.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [11] 1506(12.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [12] 1494(12.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [20] 100.0% ------------------------------------------------------------------------ approximate9 [5] 100.0% [13] 440(3.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [21] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [14] 402(3.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [15] 202(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [21] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [16] 202(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [21] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [17] 198(1.6%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [23] 100.0% ------------------------------------------------------------------------ for-loop [11] 22.6% simplify [3] 24.6% simplify-expr [10] 52.9% [18] 6670(54.6%) 204(1.7%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 84.3% map-enodes [26] 9.3% debug7 [30] 3.3% ------------------------------------------------------------------------ for-loop [9] 100.0% [19] 5872(48.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 85.9% finalize-iter! [29] 7.3% gen-series! [31] 3.4% choose-best-alt! [32] 3.3% ------------------------------------------------------------------------ finalize-table! [12] 100.0% [20] 1494(12.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [76] 53.8% for-loop [27] 31.5% completely-simplify-alt [4] 14.7% ------------------------------------------------------------------------ for-loop [16] 11.5% for-loop [15] 11.5% ??? [28] 38.5% loop [13] 38.5% [21] 440(3.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [28] 38.5% simplify [63] 38.5% ??? [7] 11.5% ??? [6] 11.5% ------------------------------------------------------------------------ get-final-combination [14] 100.0% [22] 402(3.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [76] 100.0% ------------------------------------------------------------------------ setup-prog [17] 100.0% [23] 198(1.6%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [18] 100.0% [24] 5622(46.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [34] 74.4% loop [35] 22.1% apply-match [40] 3.5% ------------------------------------------------------------------------ run-iter! [19] 100.0% [25] 5046(41.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [33] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [18] 100.0% [26] 622(5.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [76] 100.0% ------------------------------------------------------------------------ post-process [20] 100.0% [27] 470(3.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [37] 100.0% ------------------------------------------------------------------------ hash-ref! [21] 100.0% [28] 440(3.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [21] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [29] 428(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [36] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [18] 100.0% [30] 222(1.8%) 222(1.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ------------------------------------------------------------------------ run-iter! [19] 100.0% [31] 202(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [38] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [32] 196(1.6%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [36] 100.0% ------------------------------------------------------------------------ simplify! [25] 100.0% [33] 5046(41.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ------------------------------------------------------------------------ for-loop [34] 47.4% one-iter [24] 52.6% [34] 4184(34.2%) 624(5.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 47.4% match-e [45] 42.5% ------------------------------------------------------------------------ one-iter [24] 100.0% [35] 1240(10.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ------------------------------------------------------------------------ choose-best-alt! [32] 31.4% finalize-iter! [29] 68.6% [36] 624(5.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 68.6% atab-pick-alt8 [43] 31.4% ------------------------------------------------------------------------ for-loop [27] 100.0% [37] 470(3.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [41] 100.0% ------------------------------------------------------------------------ gen-series! [31] 100.0% [38] 202(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [41] 100.0% ------------------------------------------------------------------------ for-loop [33] 14.3% run [8] 42.0% [39] 12222(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.0% run-improve58 [2] 27.1% loop [44] 16.6% simplify [3] 14.3% ------------------------------------------------------------------------ one-iter [24] 13.8% loop [35] 86.2% [40] 1438(11.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 56.9% for-loop [49] 15.4% match-e [45] 13.9% substitute-e [50] 13.8% ------------------------------------------------------------------------ for-loop [38] 30.1% append-map [37] 69.9% [41] 672(5.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% ------------------------------------------------------------------------ ??? [36] 100.0% [42] 428(3.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% ------------------------------------------------------------------------ ??? [36] 100.0% [43] 196(1.6%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [51] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 4.8% ??? [39] 95.2% [44] 4256(34.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [60] 57.6% loop [52] 42.4% ------------------------------------------------------------------------ apply-match [40] 5.3% for-loop [62] 9.3% for-loop [34] 85.3% [45] 3760(30.8%) 2884(23.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 20.4% loop [76] 3.2% for-loop [62] 2.9% ------------------------------------------------------------------------ apply-match [40] 100.0% [46] 818(6.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [55] 75.6% for-loop [57] 24.4% ------------------------------------------------------------------------ taylor-alt [41] 100.0% [47] 672(5.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [54] 100.0% ------------------------------------------------------------------------ for-loop [42] 100.0% [48] 428(3.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [56] 100.0% ------------------------------------------------------------------------ apply-match [40] 100.0% [49] 222(1.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [84] 100.0% ------------------------------------------------------------------------ apply-match [40] 100.0% [50] 198(1.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [58] 100.0% ------------------------------------------------------------------------ atab-pick-alt8 [43] 100.0% [51] 196(1.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [59] 100.0% ------------------------------------------------------------------------ loop [44] 100.0% [52] 1806(14.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [61] 76.5% make-exacts* [60] 23.5% ------------------------------------------------------------------------ match-e [45] 100.0% [53] 1118(9.1%) 216(1.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [62] 62.8% loop [76] 17.9% ------------------------------------------------------------------------ for-loop [47] 30.4% location-do [54] 69.6% [54] 672(5.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [54] 69.6% approximate9 [5] 18.9% simplify [63] 11.5% ------------------------------------------------------------------------ merge-egraph-nodes! [46] 100.0% [55] 618(5.1%) 200(1.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [64] 67.6% ------------------------------------------------------------------------ atab-add-altn [48] 100.0% [56] 428(3.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [73] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [46] 100.0% [57] 200(1.6%) 200(1.6%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ------------------------------------------------------------------------ substitute-e [50] 100.0% [58] 198(1.6%) 198(1.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ ??? [51] 100.0% [59] 196(1.6%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [65] 100.0% ------------------------------------------------------------------------ loop [52] 14.8% loop [44] 85.2% [60] 2874(23.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [72] 51.3% loop [76] 48.7% ------------------------------------------------------------------------ loop [52] 100.0% [61] 1382(11.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [72] 100.0% ------------------------------------------------------------------------ match-e [45] 15.7% for-loop [53] 84.3% [62] 702(5.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 84.3% ??? [69] 15.7% ------------------------------------------------------------------------ location-do [54] 34.5% hash-ref! [21] 65.5% [63] 672(5.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [67] 35.4% f16 [68] 34.5% debug-print [70] 30.1% ------------------------------------------------------------------------ update-leader! [55] 100.0% [64] 418(3.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 100.0% ------------------------------------------------------------------------ best-alt [59] 100.0% [65] 196(1.6%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [71] 100.0% ------------------------------------------------------------------------ for-loop [64] 100.0% [66] 418(3.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [74] 100.0% ------------------------------------------------------------------------ simplify [63] 100.0% [67] 238(1.9%) 238(1.9%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ------------------------------------------------------------------------ simplify [63] 25.0% map [72] 75.0% [68] 232(1.9%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [72] 100.0% ------------------------------------------------------------------------ for-loop [62] 100.0% [69] 220(1.8%) 220(1.8%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------------ simplify [63] 100.0% [70] 202(1.7%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [75] 100.0% ------------------------------------------------------------------------ argmins [65] 100.0% [71] 196(1.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [73] 100.0% ------------------------------------------------------------------------ f16 [68] 7.5% loop [61] 44.8% make-exacts* [60] 47.7% [72] 3088(25.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [76] 92.5% f16 [68] 5.6% make-multiplication-node [79] 1.9% ------------------------------------------------------------------------ composed [71] 31.4% best-and-tied-at-points [56] 68.6% [73] 624(5.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [78] 65.1% eval-prog [80] 34.9% ------------------------------------------------------------------------ for-loop [66] 100.0% [74] 418(3.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [77] 100.0% ------------------------------------------------------------------------ debug-print [70] 100.0% [75] 202(1.7%) 202(1.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ make-exacts* [60] 0.2% map [72] 0.4% loop! [84] 1.2% map-enodes [26] 1.4% post-process [20] 2.7% for-loop [53] 3.2% match-e [45] 3.8% extract-alt [22] 4.8% loop [76] 82.5% [76] 6344(51.9%) 688(5.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [76] 82.5% simplify [3] 4.8% completely-simplify-alt [4] 2.7% for-loop [82] 1.4% loop! [84] 1.2% ??? [81] 0.5% ------------------------------------------------------------------------ hash-update! [74] 100.0% [77] 418(3.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [85] 52.6% make-sequence [86] 47.4% ------------------------------------------------------------------------ errors [73] 100.0% [78] 406(3.3%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [81] 51.7% ulp-difference [87] 48.3% ------------------------------------------------------------------------ map [72] 100.0% [79] 232(1.9%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [83]100.0% ------------------------------------------------------------------------ errors [73] 100.0% [80] 218(1.8%) 218(1.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ for-loop [78] 5.0% loop [76] 95.0% [81] 4218(34.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [88] 56.1% ??? [89] 33.4% ??? [103] 5.6% ...e/case-arrow.rkt:150:50 [93] 4.8% ------------------------------------------------------------------------ loop [76] 100.0% [82] 622(5.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [90] 67.5% compose [94] 32.5% ------------------------------------------------------------------------ make-multiplication-node [79] 100.0% [83] 232(1.9%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [91] 100.0% ------------------------------------------------------------------------ for-loop [49] 33.3% loop [76] 66.7% [84] 222(1.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [76] 66.7% update-en-expr [92] 33.3% ------------------------------------------------------------------------ ??? [77] 100.0% [85] 220(1.8%) 220(1.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------ ??? [77] 100.0% [86] 198(1.6%) 198(1.6%) make-sequence ...ects/racket/private/for.rkt:508:2 ------------------------------------------------------------------------ for-loop [78] 100.0% [87] 196(1.6%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [95] 100.0% ------------------------------------------------------------------------ ??? [81] 100.0% [88] 2368(19.4%) 1920(15.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 18.9% ------------------------------------------------------------------------ ??? [81] 100.0% [89] 1410(11.5%) 210(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 67.5% ...higher-order.rkt:373:33 [98] 17.6% ------------------------------------------------------------------------ for-loop [82] 100.0% [90] 420(3.4%) 220(1.8%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [99] 47.6% ------------------------------------------------------------------------ make-multiplication-subnode [83]100.0% [91] 232(1.9%) 232(1.9%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ------------------------------------------------------------------------ loop! [84] 100.0% [92] 222(1.8%) 222(1.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ ??? [81] 100.0% [93] 204(1.7%) 204(1.7%) ...e/case-arrow.rkt:150:50 (unknown source) ------------------------------------------------------------------------ for-loop [82] 100.0% [94] 202(1.7%) 202(1.7%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ ulp-difference [87] 100.0% [95] 196(1.6%) 196(1.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [89] 100.0% [96] 952(7.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqr [100] 48.5% ??? [104] 25.8% bfadd [102] 25.6% ------------------------------------------------------------------------ real->bigfloat [88] 100.0% [97] 448(3.7%) 448(3.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [89] 100.0% [98] 248(2.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [101] 100.0% ------------------------------------------------------------------------ setfindf [90] 100.0% [99] 200(1.6%) 200(1.6%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ------------------------------------------------------------------------ ??? [96] 100.0% [100] 462(3.8%) 462(3.8%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [98] 100.0% [101] 248(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [103] 100.0% ------------------------------------------------------------------------ ??? [96] 100.0% [102] 244(2.0%) 244(2.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ------------------------------------------------------------------------ ??? [81] 48.8% ??? [101] 51.2% [103] 484(4.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [104] 100.0% ------------------------------------------------------------------------ ??? [96] 33.7% ??? [103] 66.3% [104] 730(6.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [105] 100.0% ------------------------------------------------------------------------ ??? [104] 100.0% [105] 730(6.0%) 484(4.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [106] 33.7% ------------------------------------------------------------------------ ??? [105] 100.0% [106] 246(2.0%) 246(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------