Profiling results ----------------- Total cpu time observed: 20590ms (out of 21092ms) Number of samples taken: 80 (once every 257ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [28] 100.0% [1] 19590(95.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [2] 5566(27.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [9] 52.7% for-loop [10] 34.9% loop [31] 8.8% get-final-combination [12] 3.6% ---------------------------------------------------------------------- hash-ref! [56] 100.0% [3] 664(3.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [56] 100.0% [4] 240(1.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [46] 100.0% ---------------------------------------------------------------------- f6 [41] 100.0% [5] 222(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [15] 100.0% ---------------------------------------------------------------------- f6 [41] 100.0% [6] 222(1.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [15] 100.0% ---------------------------------------------------------------------- f6 [41] 100.0% [7] 200(1.0%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [56] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 19590(95.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2934(14.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1944(9.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [11] 664(3.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [56] 69.9% simplify [15] 30.1% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 200(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ---------------------------------------------------------------------- finalize-table! [9] 100.0% [13] 2934(14.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [17] 51.5% loop [46] 48.5% ---------------------------------------------------------------------- for-loop [10] 100.0% [14] 1944(9.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 65.9% localize-error [20] 21.8% finalize-iter! [21] 12.2% ---------------------------------------------------------------------- for-loop [11] 15.3% taylor-sqrt [5] 16.9% taylor-invert [6] 16.9% hash-ref! [56] 50.8% [15] 1310(6.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [19] 52.4% debug-print [22] 16.9% make-multiplication-node [23] 15.4% f6 [41] 15.3% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [16] 200(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [46] 100.0% ---------------------------------------------------------------------- post-process [13] 100.0% [17] 1510(7.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [24] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [18] 1282(6.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ---------------------------------------------------------------------- parse-loop12 [19] 13.3% hash-ref! [56] 24.6% simplify [15] 62.1% [19] 910(4.4%) 686(3.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [46] 24.6% parse-loop12 [19] 13.3% ---------------------------------------------------------------------- loop [46] 36.1% run-iter! [14] 63.9% [20] 664(3.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [56] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [21] 238(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ---------------------------------------------------------------------- simplify [15] 100.0% [22] 222(1.1%) 222(1.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- simplify [15] 100.0% [23] 202(1.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [27]100.0% ---------------------------------------------------------------------- for-loop [17] 100.0% [24] 1510(7.3%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [29] 100.0% ---------------------------------------------------------------------- simplify! [18] 100.0% [25] 1282(6.2%) 202(1.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 84.2% ---------------------------------------------------------------------- finalize-iter! [21] 100.0% [26] 238(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 100.0% ---------------------------------------------------------------------- make-multiplication-node [23] 100.0% [27] 202(1.0%) 202(1.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 ---------------------------------------------------------------------- for-loop [25] 1.8% run [8] 47.2% [28] 20386(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [31] 38.3% run-improve58 [2] 12.8% simplify [50] 1.8% ---------------------------------------------------------------------- append-map [24] 100.0% [29] 1510(7.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [30] 238(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [33] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 3.2% ??? [28] 96.8% [31] 15308(74.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [34] 48.0% make-exacts* [37] 38.1% loop [38] 13.9% ---------------------------------------------------------------------- taylor-alt [29] 100.0% [32] 1510(7.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [35] 100.0% ---------------------------------------------------------------------- for-loop [30] 100.0% [33] 238(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 override-at-pnts [36] 100.0% ---------------------------------------------------------------------- loop [31] 100.0% [34] 7346(35.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [37] 52.5% loop [38] 41.6% eval-prog [42] 5.9% ---------------------------------------------------------------------- location-do [35] 17.2% for-loop [32] 82.8% [35] 1510(7.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [39] 82.8% location-do [35] 17.2% ---------------------------------------------------------------------- atab-add-altn [33] 100.0% [36] 238(1.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [40] 100.0% ---------------------------------------------------------------------- loop [34] 39.8% loop [31] 60.2% [37] 9690(47.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [46] 47.6% map [44] 47.5% eval-prog [42] 4.9% ---------------------------------------------------------------------- loop [31] 41.1% loop [34] 58.9% [38] 5186(25.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [44] 100.0% ---------------------------------------------------------------------- location-do [35] 100.0% [39] 1510(7.3%) 200(1.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [43] 44.1% f6 [41] 42.6% ---------------------------------------------------------------------- override-at-pnts [36] 100.0% [40] 238(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [42] 100.0% ---------------------------------------------------------------------- simplify [15] 3.8% f6 [41] 13.6% approximate9 [39] 15.7% map [44] 16.1% hash-ref! [56] 50.8% [41] 1308(6.4%) 200(1.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [44] 66.9% f6 [41] 13.6% taylor-sqrt [5] 8.5% loop [7] 3.8% taylor-invert [6] 3.4% ---------------------------------------------------------------------- errors [40] 20.8% loop [34] 37.8% make-exacts* [37] 41.3% [42] 1142(5.5%) 430(2.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [56] 41.0% inductor [45] 21.4% ---------------------------------------------------------------------- approximate9 [39] 100.0% [43] 666(3.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [56] 100.0% ---------------------------------------------------------------------- f6 [41] 10.0% make-exacts* [37] 42.3% loop [38] 47.7% [44] 10878(52.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [46] 90.1% f6 [41] 3.9% ??? [52] 3.0% ??? [49] 2.2% loop [48] 0.9% ---------------------------------------------------------------------- eval-prog [42] 25.0% inductor [45] 75.0% [45] 244(1.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [45] 75.0% integer->bigfloat [47] 25.0% ---------------------------------------------------------------------- make-exacts* [37] 0.1% post-process [13] 0.6% extract-alt [16] 1.2% parse-loop12 [19] 1.4% ??? [4] 1.5% map [44] 3.1% loop [46] 92.1% [46] 16462(80.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [46] 92.1% ??? [49] 3.2% hash-ref! [56] 1.5% ??? [52] 1.4% simplify [50] 1.2% completely-simplify-alt [51] 0.6% localize-error [20] 0.0% ??? [67] 0.0% ->flonum [58] 0.0% ---------------------------------------------------------------------- inductor [45] 100.0% [47] 244(1.2%) 244(1.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- map [44] 3.6% loop [48] 96.4% [48] 200(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [48] 96.4% ??? [53] 3.6% ---------------------------------------------------------------------- map [44] 1.7% loop [46] 98.3% [49] 13896(67.5%) 1430(6.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [54] 60.1% real->bigfloat [55] 25.0% ??? [75] 4.6% ---------------------------------------------------------------------- loop [46] 15.6% ??? [28] 84.4% [50] 1280(6.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [57] 67.2% for-loop [59] 17.2% iterate-egraph!5 [60] 15.6% ---------------------------------------------------------------------- loop [46] 100.0% [51] 1184(5.8%) 290(1.4%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [57] 75.5% ---------------------------------------------------------------------- loop [46] 35.2% map [44] 64.8% [52] 424(2.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [56] 100.0% ---------------------------------------------------------------------- loop [48] 100.0% [53] 200(1.0%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [58] 100.0% ---------------------------------------------------------------------- ??? [49] 100.0% [54] 8354(40.6%) 232(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [67] 52.5% bf* [61] 23.2% ...higher-order.rkt:373:33 [62] 21.5% ---------------------------------------------------------------------- ??? [49] 100.0% [55] 3472(16.9%) 2758(13.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [84] 20.6% ---------------------------------------------------------------------- loop [46] 6.0% for-loop [11] 9.8% loop [7] 10.0% ??? [64] 11.8% loop [43] 11.8% ??? [52] 13.4% eval-prog [42] 17.4% localize-error [20] 19.8% [56] 1998(9.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [41] 24.8% ??? [3] 19.8% bigfloat-hash [65] 17.4% ??? [64] 11.8% simplify [15] 11.8% ??? [4] 6.0% parse-loop12 [19] 5.6% ??? [66] 2.8% ---------------------------------------------------------------------- simplify [50] 49.0% completely-simplify-alt [51] 51.0% [57] 1754(8.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [60] 100.0% ---------------------------------------------------------------------- ??? [53] 21.9% loop [46] 78.1% [58] 912(4.4%) 200(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [63] 78.1% ---------------------------------------------------------------------- simplify [50] 100.0% [59] 220(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [60] 100.0% ---------------------------------------------------------------------- simplify [50] 9.2% for-loop [59] 10.1% simplify-expr [57] 80.7% [60] 2174(10.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [68] 90.7% *simplify-rules* [73] 9.3% ---------------------------------------------------------------------- ??? [54] 100.0% [61] 1936(9.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [67] 100.0% ---------------------------------------------------------------------- ??? [54] 100.0% [62] 1798(8.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [69] 85.0% ??? [75] 15.0% ---------------------------------------------------------------------- ->flonum [58] 100.0% [63] 712(3.5%) 712(3.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- hash-ref! [56] 100.0% [64] 666(3.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [56] 100.0% ---------------------------------------------------------------------- hash-ref! [56] 100.0% [65] 468(2.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [70] 51.3% sig+exp->bigfloat [71] 48.7% ---------------------------------------------------------------------- hash-ref! [56] 100.0% [66] 224(1.1%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 repeat [72] 100.0% ---------------------------------------------------------------------- loop [46] 3.7% bf* [61] 29.5% ??? [54] 66.8% [67] 6564(31.9%) 216(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [74] 51.4% bfsqr [76] 30.8% ??? [83] 14.5% ---------------------------------------------------------------------- iterate-egraph!5 [60] 100.0% [68] 1972(9.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [77] 68.5% loop [80] 11.3% apply-match [86] 10.1% loop [82] 10.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [62] 100.0% [69] 1528(7.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [75] 100.0% ---------------------------------------------------------------------- bigfloat-hash [65] 100.0% [70] 240(1.2%) 0(0.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [78] 100.0% ---------------------------------------------------------------------- bigfloat-hash [65] 100.0% [71] 228(1.1%) 228(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [66] 100.0% [72] 224(1.1%) 0(0.0%) repeat ...atlock/herbie/src/core/localize.rkt:13:0 for-loop [79] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [60] 100.0% [73] 202(1.0%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [81] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [74] 3372(16.4%) 1918(9.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [84] 43.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [62] 11.1% ??? [49] 26.3% ??? [69] 62.7% [75] 2438(11.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [83] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [76] 2024(9.8%) 1044(5.1%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [84] 48.4% ---------------------------------------------------------------------- for-loop [77] 50.0% one-iter [68] 50.0% [77] 1350(6.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [77] 50.0% match-e [85] 50.0% ---------------------------------------------------------------------- bfcanonicalize [70] 100.0% [78] 240(1.2%) 240(1.2%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ---------------------------------------------------------------------- repeat [72] 100.0% [79] 224(1.1%) 224(1.1%) for-loop ...lock/herbie/src/core/localize.rkt:14:2 ---------------------------------------------------------------------- one-iter [68] 100.0% [80] 222(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [86] 100.0% ---------------------------------------------------------------------- *simplify-rules* [73] 100.0% [81] 202(1.0%) 202(1.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- one-iter [68] 100.0% [82] 200(1.0%) 200(1.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- ??? [67] 28.1% ??? [75] 71.9% [83] 3390(16.5%) 1944(9.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [87] 42.7% ---------------------------------------------------------------------- real->bigfloat [55] 22.7% bfsqr [76] 31.1% bfmul [74] 46.2% [84] 3148(15.3%) 3148(15.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- for-loop [77] 100.0% [85] 1350(6.6%) 864(4.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [88] 36.0% ---------------------------------------------------------------------- one-iter [68] 47.4% loop [80] 52.6% [86] 422(2.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [89] 100.0% ---------------------------------------------------------------------- ??? [83] 100.0% [87] 1446(7.0%) 932(4.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [90] 35.5% ---------------------------------------------------------------------- match-e [85] 100.0% [88] 486(2.4%) 196(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [92] 59.7% ---------------------------------------------------------------------- apply-match [86] 100.0% [89] 422(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [91] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [90] 514(2.5%) 514(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- merge-egraph-nodes! [89] 100.0% [91] 422(2.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [93] 52.6% adopt-enode! [94] 47.4% ---------------------------------------------------------------------- for-loop [88] 100.0% [92] 290(1.4%) 290(1.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- enode-merge! [91] 100.0% [93] 222(1.1%) 222(1.1%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ---------------------------------------------------------------------- enode-merge! [91] 100.0% [94] 200(1.0%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [95] 100.0% ---------------------------------------------------------------------- adopt-enode! [94] 100.0% [95] 200(1.0%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [96] 100.0% ---------------------------------------------------------------------- custom-set-union [95] 100.0% [96] 200(1.0%) 200(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 ----------------------------------------------------------------------