Profiling results ----------------- Total cpu time observed: 70736ms (out of 71532ms) Number of samples taken: 301 (once every 235ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 100 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 68662(97.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 7796(11.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 71.4% loop [39] 22.5% get-final-combination [11] 6.2% ----------------------------------------------------------------------- loop [62] 11.5% ??? [33] 88.5% [3] 4174(5.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [15] 74.5% simplify-expr [10] 20.2% loop [17] 5.3% ----------------------------------------------------------------------- hash-ref! [66] 100.0% [4] 3130(4.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [62] 100.0% ----------------------------------------------------------------------- hash-ref! [66] 100.0% [5] 422(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ----------------------------------------------------------------------- hash-ref! [66] 100.0% [6] 402(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ----------------------------------------------------------------------- f37 [81] 100.0% [7] 402(0.6%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [66] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.4% [8] 69076(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 5564(7.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 844(1.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 76.1% loop [17] 23.9% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 480(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [12] 422(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [18] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [13] 402(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [66] 50.2% simplify [74] 49.8% ----------------------------------------------------------------------- for-loop [9] 100.0% [14] 5564(7.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 66.4% gen-series! [21] 18.4% finalize-iter! [22] 11.9% localize-error [25] 3.3% ----------------------------------------------------------------------- simplify-expr [10] 17.1% simplify [3] 82.9% [15] 3752(5.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 94.7% *simplify-rules* [24] 5.3% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [16] 480(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% ----------------------------------------------------------------------- simplify-expr [10] 47.9% simplify [3] 52.1% [17] 422(0.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% ----------------------------------------------------------------------- for-loop [12] 100.0% [18] 422(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [66] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [19] 3694(5.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [20] 3552(5.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 81.5% loop [30] 18.5% ----------------------------------------------------------------------- run-iter! [14] 100.0% [21] 1024(1.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 662(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- loop [17] 100.0% [23] 422(0.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [24] 200(0.3%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [32] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [25] 184(0.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [66] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [26] 3694(5.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ----------------------------------------------------------------------- for-loop [27] 50.0% one-iter [20] 50.0% [27] 2894(4.1%) 666(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [34] 38.5% ----------------------------------------------------------------------- gen-series! [21] 100.0% [28] 1024(1.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- finalize-iter! [22] 100.0% [29] 662(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% ----------------------------------------------------------------------- one-iter [20] 100.0% [30] 658(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% ----------------------------------------------------------------------- pass [23] 100.0% [31] 422(0.6%) 220(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [38] 47.9% ----------------------------------------------------------------------- *simplify-rules* [24] 100.0% [32] 200(0.3%) 200(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ----------------------------------------------------------------------- for-loop [26] 1.7% run [8] 48.2% [33] 70736(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.7% loop [39] 46.0% run-improve58 [2] 4.6% simplify [3] 1.7% ----------------------------------------------------------------------- for-loop [47] 20.6% for-loop [27] 79.4% [34] 2228(3.1%) 1544(2.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 25.7% for-loop [47] 15.6% loop [62] 5.0% ----------------------------------------------------------------------- for-loop [28] 100.0% [35] 1024(1.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [36] 662(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ----------------------------------------------------------------------- loop [30] 100.0% [37] 658(0.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [43] 36.8% update-leader! [50] 33.1% merge-egraph-nodes! [45] 30.1% ----------------------------------------------------------------------- for-loop [31] 100.0% [38] 202(0.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [44] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.7% ??? [33] 97.3% [39] 64692(91.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [46] 49.0% make-exacts* [52] 37.2% loop [53] 13.9% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [40] 1024(1.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ----------------------------------------------------------------------- match-e [34] 100.0% [41] 684(1.0%) 220(0.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [47] 67.8% ----------------------------------------------------------------------- for-loop [36] 100.0% [42] 662(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 100.0% ----------------------------------------------------------------------- apply-match [37] 100.0% [43] 242(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [69] 100.0% ----------------------------------------------------------------------- argmin [38] 100.0% [44] 202(0.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [51] 100.0% ----------------------------------------------------------------------- apply-match [37] 100.0% [45] 198(0.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 100.0% ----------------------------------------------------------------------- loop [39] 100.0% [46] 31674(44.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 46.7% make-exacts* [52] 45.8% eval-prog [58] 7.6% ----------------------------------------------------------------------- for-loop [41] 40.0% match-e [34] 60.0% [47] 1160(1.6%) 242(0.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 79.1% ----------------------------------------------------------------------- location-do [48] 24.6% for-loop [40] 75.4% [48] 1024(1.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 75.4% location-do [48] 24.6% ----------------------------------------------------------------------- atab-add-altn [42] 100.0% [49] 662(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [45] 47.6% apply-match [37] 52.4% [50] 416(0.6%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 100.0% ----------------------------------------------------------------------- expression-cost [44] 100.0% [51] 202(0.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [66] 100.0% ----------------------------------------------------------------------- loop [46] 37.6% loop [39] 62.4% [52] 38536(54.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [57] 48.4% loop [62] 44.5% eval-prog [58] 7.1% ----------------------------------------------------------------------- loop [39] 37.8% loop [46] 62.2% [53] 23760(33.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [57] 100.0% ----------------------------------------------------------------------- location-do [48] 100.0% [54] 1024(1.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [59] 60.9% f37 [81] 39.1% ----------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [55] 662(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 66.8% eval-prog [58] 33.2% ----------------------------------------------------------------------- update-leader! [50] 100.0% [56] 416(0.6%) 218(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [61] 47.6% ----------------------------------------------------------------------- f37 [81] 1.4% make-exacts* [52] 43.4% loop [53] 55.2% [57] 43030(60.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 96.9% ??? [65] 1.7% f37 [81] 1.4% ----------------------------------------------------------------------- errors [55] 4.1% loop [46] 44.9% make-exacts* [52] 51.0% [58] 5338(7.5%) 640(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [66] 73.3% inductor [63] 14.7% ----------------------------------------------------------------------- approximate9 [54] 100.0% [59] 624(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [66] 100.0% ----------------------------------------------------------------------- errors [55] 100.0% [60] 442(0.6%) 240(0.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [65] 45.7% ----------------------------------------------------------------------- for-loop [56] 100.0% [61] 198(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [64] 100.0% ----------------------------------------------------------------------- parse-loop12 [83] 0.0% f37 [81] 0.3% match-e [34] 0.4% loop! [69] 0.4% extract-alt [16] 0.5% make-exacts* [52] 0.8% map [57] 1.9% ??? [4] 4.9% loop [62] 90.8% [62] 63318(89.5%) 478(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 90.8% hash-ref! [66] 4.9% ??? [65] 2.7% simplify [3] 0.5% loop! [69] 0.4% simplify [74] 0.3% ??? [78] 0.0% ->flonum [67] 0.0% ----------------------------------------------------------------------- eval-prog [58] 16.7% inductor [63] 83.3% [63] 786(1.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [63] 83.3% integer->bigfloat [68] 16.7% ----------------------------------------------------------------------- for-loop [61] 100.0% [64] 198(0.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ----------------------------------------------------------------------- for-loop [60] 0.3% map [57] 1.2% loop [62] 98.4% [65] 58370(82.5%) 1016(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 91.1% real->bigfloat [73] 4.8% ??? [90] 2.4% ----------------------------------------------------------------------- for-loop [13] 1.3% localize-error [25] 1.8% ??? [18] 2.1% ??? [75] 2.6% compile [51] 3.9% loop [59] 4.1% loop [7] 4.6% loop [62] 38.0% eval-prog [58] 38.4% [66] 5122(7.2%) 202(0.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [72] 38.4% ??? [4] 38.0% ??? [6] 5.2% parse-loop12 [83] 3.6% ??? [75] 2.6% f37 [81] 2.6% ??? [5] 2.1% simplify [74] 2.1% ----------------------------------------------------------------------- loop [62] 100.0% [67] 928(1.3%) 444(0.6%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 52.2% ----------------------------------------------------------------------- inductor [63] 100.0% [68] 786(1.1%) 786(1.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ----------------------------------------------------------------------- loop [62] 50.0% for-loop [43] 50.0% [69] 242(0.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [62] 50.0% set [76] 50.0% ----------------------------------------------------------------------- hash-update! [64] 100.0% [70] 198(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [77] 100.0% ----------------------------------------------------------------------- ??? [65] 100.0% [71] 53164(75.2%) 688(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [78] 97.0% ...higher-order.rkt:373:33 [82] 1.3% ----------------------------------------------------------------------- hash-ref! [66] 100.0% [72] 3912(5.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [79] 60.0% sig+exp->bigfloat [80] 40.0% ----------------------------------------------------------------------- ??? [65] 100.0% [73] 2794(3.9%) 2088(3.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 25.3% ----------------------------------------------------------------------- for-loop [13] 24.3% loop [62] 24.3% hash-ref! [66] 51.3% [74] 822(1.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [81] 48.9% parse-loop12 [83] 26.8% debug-print [91] 24.3% ----------------------------------------------------------------------- hash-ref! [66] 100.0% [75] 404(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [66] 100.0% ----------------------------------------------------------------------- loop! [69] 100.0% [76] 242(0.3%) 242(0.3%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ??? [70] 100.0% [77] 198(0.3%) 198(0.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop [62] 0.4% ??? [71] 99.6% [78] 51742(73.1%) 40672(57.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [84] 12.8% bflog [85] 5.9% ??? [93] 2.7% ----------------------------------------------------------------------- bigfloat-hash [72] 100.0% [79] 2348(3.3%) 2126(3.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [87] 9.5% ----------------------------------------------------------------------- bigfloat-hash [72] 100.0% [80] 1564(2.2%) 1564(2.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- simplify [74] 8.7% hash-ref! [66] 8.8% approximate9 [54] 18.7% f37 [81] 30.0% map [57] 33.8% [81] 804(1.1%) 402(0.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [57] 33.8% f37 [81] 30.0% loop [62] 12.4% loop [7] 8.7% taylor [88] 6.3% ----------------------------------------------------------------------- ??? [71] 100.0% [82] 680(1.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 100.0% ----------------------------------------------------------------------- hash-ref! [66] 45.5% simplify [74] 54.5% [83] 404(0.6%) 220(0.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 45.5% ----------------------------------------------------------------------- ??? [78] 100.0% [84] 6600(9.3%) 3500(4.9%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 47.0% ----------------------------------------------------------------------- ??? [78] 100.0% [85] 3070(4.3%) 2632(3.7%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [89] 14.3% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [82]100.0% [86] 680(1.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 100.0% ----------------------------------------------------------------------- bfcanonicalize [79] 100.0% [87] 222(0.3%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [92] 100.0% ----------------------------------------------------------------------- f37 [81] 100.0% [88] 202(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [91] 100.0% ----------------------------------------------------------------------- bflog [85] 10.3% real->bigfloat [73] 16.6% bfexpt [84] 73.0% [89] 4244(6.0%) 4244(6.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [86] 32.8% ??? [65] 67.2% [90] 2076(2.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ----------------------------------------------------------------------- simplify [74] 49.8% taylor [88] 50.2% [91] 402(0.6%) 402(0.6%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- bigfloat->sig+exp [87] 100.0% [92] 222(0.3%) 222(0.3%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ----------------------------------------------------------------------- ->flonum [67] 12.2% ??? [78] 35.4% ??? [90] 52.4% [93] 3960(5.6%) 1648(2.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [94] 52.3% ??? [95] 6.1% ----------------------------------------------------------------------- ??? [93] 100.0% [94] 2072(2.9%) 1612(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 22.2% ----------------------------------------------------------------------- ??? [93] 100.0% [95] 240(0.3%) 240(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [94] 100.0% [96] 460(0.7%) 460(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------