Profiling results ----------------- Total cpu time observed: 14022ms (out of 14316ms) Number of samples taken: 60 (once every 234ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 13812(98.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 4678(33.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 86.8% get-final-combination [12] 9.0% loop [40] 4.2% ----------------------------------------------------------------------- loop [73] 19.7% ??? [33] 80.3% [3] 2142(15.3%) 308(2.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [18] 35.0% simplify-expr [11] 30.0% mk-egraph [13] 10.4% for-loop [15] 10.3% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [4] 530(3.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [73] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [5] 222(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ----------------------------------------------------------------------- f6 [67] 100.0% [6] 222(1.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop12 [68] 100.0% ----------------------------------------------------------------------- loop [73] 100.0% [7] 218(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [8] 198(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 13812(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 4060(29.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 642(4.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 422(3.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 222(1.6%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [20] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 222(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [15] 220(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [16] 198(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [62] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [17] 4060(29.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 47.3% finalize-iter! [23] 21.2% gen-series! [24] 20.7% choose-best-alt! [26] 5.4% localize-error [27] 5.4% ----------------------------------------------------------------------- for-loop [15] 13.6% simplify-expr [11] 39.8% simplify [3] 46.5% [18] 1612(11.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 100.0% ----------------------------------------------------------------------- get-final-combination [12] 100.0% [19] 422(3.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ----------------------------------------------------------------------- mk-egraph [13] 33.3% expr->enode [20] 66.7% [20] 222(1.6%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [20] 66.7% mk-enode! [25] 33.3% ----------------------------------------------------------------------- run-iter! [17] 100.0% [21] 1920(13.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [22] 1612(11.5%) 220(1.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 67.2% filter [32] 19.1% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 862(6.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [24] 840(6.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ----------------------------------------------------------------------- expr->enode [20] 100.0% [25] 222(1.6%) 222(1.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- run-iter! [17] 100.0% [26] 220(1.6%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [30] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [27] 218(1.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify! [21] 100.0% [28] 1920(13.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 89.6% debug-print [39] 10.4% ----------------------------------------------------------------------- for-loop [29] 50.0% one-iter [22] 50.0% [29] 1084(7.7%) 202(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [34] 40.7% ----------------------------------------------------------------------- choose-best-alt! [26] 20.3% finalize-iter! [23] 79.7% [30] 1082(7.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 57.5% atab-add-altns [37] 22.2% atab-pick-alt8 [38] 20.3% ----------------------------------------------------------------------- gen-series! [24] 100.0% [31] 840(6.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- one-iter [22] 100.0% [32] 308(2.2%) 308(2.2%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------- for-loop [28] 4.1% run [9] 47.2% [33] 14022(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [40] 34.1% run-improve58 [2] 14.6% simplify [3] 4.1% ----------------------------------------------------------------------- for-loop [43] 24.9% for-loop [29] 75.1% [34] 882(6.3%) 662(4.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 24.9% for-loop [44] 12.5% ----------------------------------------------------------------------- for-loop [31] 100.0% [35] 840(6.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [36] 622(4.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [37] 240(1.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [41] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [38] 220(1.6%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [45] 100.0% ----------------------------------------------------------------------- for-loop [28] 100.0% [39] 200(1.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [46] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [33] 97.9% [40] 9540(68.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [53] 53.4% loop [47] 44.6% loop [54] 2.1% ----------------------------------------------------------------------- atab-add-altns [37] 27.8% for-loop [36] 72.2% [41] 862(6.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 72.2% loop [73] 27.8% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [42] 840(6.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ----------------------------------------------------------------------- match-e [34] 100.0% [43] 440(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 100.0% ----------------------------------------------------------------------- match-e [34] 100.0% [44] 220(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [50] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [38] 100.0% [45] 220(1.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [51] 100.0% ----------------------------------------------------------------------- debug-print [39] 100.0% [46] 200(1.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 write-proc [52] 100.0% ----------------------------------------------------------------------- loop [40] 100.0% [47] 4254(30.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [54] 55.3% make-exacts* [53] 32.3% eval-prog [60] 12.5% ----------------------------------------------------------------------- location-do [48] 23.8% for-loop [42] 76.2% [48] 840(6.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 76.2% location-do [48] 23.8% ----------------------------------------------------------------------- atab-add-altn [41] 100.0% [49] 622(4.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [59] 100.0% ----------------------------------------------------------------------- for-loop [44] 100.0% [50] 220(1.6%) 220(1.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- ??? [45] 100.0% [51] 220(1.6%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [56] 100.0% ----------------------------------------------------------------------- for-loop [46] 100.0% [52] 200(1.4%) 200(1.4%) write-proc ...lock/herbie/src/alternative.rkt:22:9 ----------------------------------------------------------------------- loop [47] 21.2% loop [40] 78.8% [53] 6462(46.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [70] 51.3% loop [73] 45.3% eval-prog [60] 3.4% ----------------------------------------------------------------------- loop [40] 7.7% loop [47] 92.3% [54] 2548(18.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [70] 100.0% ----------------------------------------------------------------------- location-do [48] 100.0% [55] 840(6.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 76.0% f6 [67] 24.0% ----------------------------------------------------------------------- best-alt [51] 100.0% [56] 220(1.6%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [58] 100.0% ----------------------------------------------------------------------- approximate9 [55] 100.0% [57] 638(4.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ----------------------------------------------------------------------- loop [56] 100.0% [58] 220(1.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [59] 100.0% ----------------------------------------------------------------------- composed [58] 26.1% best-and-tied-at-points [49] 73.9% [59] 842(6.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [61] 73.9% eval-prog [60] 26.1% ----------------------------------------------------------------------- errors [59] 22.7% make-exacts* [53] 22.7% loop [47] 54.6% [60] 970(6.9%) 440(3.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [62] 54.6% ----------------------------------------------------------------------- errors [59] 100.0% [61] 622(4.4%) 220(1.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [78] 64.6% ----------------------------------------------------------------------- for-loop [16] 3.6% loop [72] 3.6% for-loop [14] 4.0% ??? [66] 7.6% ??? [7] 7.9% localize-error [27] 7.9% ??? [65] 11.9% eval-prog [60] 15.3% loop [57] 15.4% loop [73] 23.0% [62] 1386(9.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 23.0% simplify [63] 15.4% bigfloat-hash [64] 15.3% ??? [65] 11.9% f6 [67] 11.4% parse-loop12 [68] 7.9% ??? [66] 7.6% ??? [5] 4.0% ??? [8] 3.6% ----------------------------------------------------------------------- taylor-invert [77] 24.0% hash-ref! [62] 76.0% [63] 840(6.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [67] 76.4% parse-loop12 [68] 23.6% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [64] 530(3.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [69] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [65] 440(3.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [66] 420(3.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify-node [75] 3.0% approximate9 [55] 3.8% f6 [67] 17.7% map [70] 21.2% hash-ref! [62] 26.8% simplify [63] 27.4% [67] 1058(7.5%) 202(1.4%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [70] 69.3% f6 [67] 17.7% loop [72] 6.2% append-map [6] 3.0% ----------------------------------------------------------------------- simplify [63] 4.4% parse-loop12 [68] 26.6% hash-ref! [62] 34.2% append-map [6] 34.8% [68] 638(4.5%) 198(1.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 for-loop [71] 34.8% loop [73] 34.2% parse-loop12 [68] 26.6% ----------------------------------------------------------------------- bigfloat-hash [64] 100.0% [69] 530(3.8%) 530(3.8%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- f6 [67] 15.3% loop [54] 36.8% make-exacts* [53] 47.9% [70] 6918(49.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 87.9% f6 [67] 5.5% ??? [76] 3.2% taylor-invert [77] 2.9% simplify-node [75] 0.5% ----------------------------------------------------------------------- parse-loop12 [68] 100.0% [71] 222(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [74] 100.0% ----------------------------------------------------------------------- f6 [67] 100.0% [72] 198(1.4%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [62] 100.0% ----------------------------------------------------------------------- parse-loop12 [68] 0.0% make-exacts* [53] 0.2% map [70] 0.6% extract-alt [19] 1.2% atab-add-altn [41] 2.4% ??? [4] 5.2% loop [73] 90.4% [73] 10200(72.7%) 216(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 90.4% hash-ref! [62] 5.2% loop [79] 2.4% simplify [3] 1.2% ??? [78] 0.7% ??? [7] 0.0% ??? [87] 0.0% ----------------------------------------------------------------------- for-loop [71] 100.0% [74] 222(1.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [80]100.0% ----------------------------------------------------------------------- map [70] 100.0% [75] 222(1.6%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f6 [67] 100.0% ----------------------------------------------------------------------- map [70] 100.0% [76] 218(1.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [81] 100.0% ----------------------------------------------------------------------- map [70] 100.0% [77] 202(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [63] 100.0% ----------------------------------------------------------------------- for-loop [61] 4.5% loop [73] 95.5% [78] 8976(64.0%) 220(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 74.6% real->bigfloat [83] 11.1% ??? [92] 9.5% ->flonum [86] 2.3% ----------------------------------------------------------------------- loop [73] 0.7% loop [79] 99.3% [79] 240(1.7%) 240(1.7%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [79] 99.3% ----------------------------------------------------------------------- make-multiplication-node [74] 100.0% [80] 222(1.6%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 compose [84] 100.0% ----------------------------------------------------------------------- ??? [76] 100.0% [81] 218(1.6%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [85] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [82] 6700(47.8%) 414(3.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 78.5% ...higher-order.rkt:373:33 [88] 15.3% ----------------------------------------------------------------------- ??? [78] 100.0% [83] 998(7.1%) 570(4.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 42.9% ----------------------------------------------------------------------- make-multiplication-subnode [80]100.0% [84] 222(1.6%) 222(1.6%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- for-loop [81] 100.0% [85] 218(1.6%) 218(1.6%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ----------------------------------------------------------------------- ??? [78] 100.0% [86] 202(1.4%) 202(1.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ----------------------------------------------------------------------- loop [73] 4.0% ??? [82] 96.0% [87] 5476(39.1%) 2398(17.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [89] 35.6% bftan [91] 16.3% ??? [94] 4.3% ----------------------------------------------------------------------- ??? [82] 100.0% [88] 1028(7.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [89] 1950(13.9%) 1314(9.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 32.6% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 100.0% [90] 1028(7.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [91] 890(6.3%) 692(4.9%) bftan ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 22.2% ----------------------------------------------------------------------- ??? [78] 45.4% ??? [90] 54.6% [92] 1884(13.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ----------------------------------------------------------------------- bftan [91] 15.7% real->bigfloat [83] 33.9% bfadd [89] 50.4% [93] 1262(9.0%) 1262(9.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [87] 11.2% ??? [92] 88.8% [94] 2122(15.1%) 688(4.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 56.7% ??? [96] 10.8% ----------------------------------------------------------------------- ??? [94] 100.0% [95] 1204(8.6%) 764(5.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 36.5% ----------------------------------------------------------------------- ??? [94] 100.0% [96] 230(1.6%) 230(1.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [95] 100.0% [97] 440(3.1%) 440(3.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------