Profiling results ----------------- Total cpu time observed: 21806ms (out of 22296ms) Number of samples taken: 89 (once every 245ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [33] 100.0% [1] 21304(97.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ------------------------------------------------------------------------ ??? [33] 100.0% [2] 5220(23.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 61.1% finalize-table! [10] 27.4% get-final-combination [14] 3.9% loop [37] 3.8% setup-prog [15] 3.8% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [3] 912(4.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [59] 100.0% ------------------------------------------------------------------------ location-do [44] 24.9% hash-ref! [73] 75.1% [4] 804(3.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [79] 75.1% f6 [84] 24.9% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [5] 604(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [6] 604(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [12] 100.0% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [7] 604(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 98.7% [8] 21576(98.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 3192(14.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 1428(6.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [17] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [11] 604(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [73] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [12] 604(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 604(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [73] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [14] 202(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [15] 198(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [20] 100.0% ------------------------------------------------------------------------ for-loop [9] 100.0% [16] 3192(14.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 74.2% finalize-iter! [24] 13.2% gen-series! [25] 12.7% ------------------------------------------------------------------------ finalize-table! [10] 100.0% [17] 1428(6.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [59] 57.8% for-loop [26] 28.0% completely-simplify-alt [23] 14.1% ------------------------------------------------------------------------ for-loop [12] 100.0% [18] 604(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [73] 100.0% ------------------------------------------------------------------------ get-final-combination [14] 100.0% [19] 202(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [59] 100.0% ------------------------------------------------------------------------ setup-prog [15] 100.0% [20] 198(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [21] 100.0% ------------------------------------------------------------------------ simplify-alt [20] 7.2% loop [59] 7.3% ??? [33] 85.5% [21] 2768(12.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [27] 69.7% iterate-egraph!5 [34] 23.1% for-loop [32] 7.2% ------------------------------------------------------------------------ run-iter! [16] 100.0% [22] 2368(10.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ------------------------------------------------------------------------ post-process [17] 25.1% loop [59] 74.9% [23] 806(3.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [27] 100.0% ------------------------------------------------------------------------ run-iter! [16] 100.0% [24] 420(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ------------------------------------------------------------------------ run-iter! [16] 100.0% [25] 404(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ------------------------------------------------------------------------ post-process [17] 100.0% [26] 400(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% ------------------------------------------------------------------------ completely-simplify-alt [23] 29.5% simplify [21] 70.5% [27] 2734(12.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [34] 100.0% ------------------------------------------------------------------------ simplify! [22] 100.0% [28] 2368(10.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ------------------------------------------------------------------------ finalize-iter! [24] 100.0% [29] 420(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% ------------------------------------------------------------------------ gen-series! [25] 100.0% [30] 404(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ------------------------------------------------------------------------ for-loop [26] 100.0% [31] 400(1.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 100.0% ------------------------------------------------------------------------ simplify [21] 100.0% [32] 200(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [34] 100.0% ------------------------------------------------------------------------ for-loop [28] 3.6% run [8] 48.3% [33] 21806(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.0% loop [37] 39.2% run-improve58 [2] 10.2% simplify [21] 3.6% ------------------------------------------------------------------------ for-loop [32] 5.6% simplify [21] 17.9% simplify-expr [27] 76.5% [34] 3574(16.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [38] 100.0% ------------------------------------------------------------------------ append-map [31] 49.8% for-loop [30] 50.2% [35] 804(3.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ------------------------------------------------------------------------ ??? [29] 100.0% [36] 420(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 1.2% ??? [33] 98.8% [37] 16786(77.0%) 220(1.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [41] 51.9% make-exacts* [46] 34.6% loop [47] 12.3% ------------------------------------------------------------------------ iterate-egraph!5 [34] 100.0% [38] 3574(16.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [42] 46.1% loop [43] 41.6% apply-match [48] 12.4% ------------------------------------------------------------------------ taylor-alt [35] 100.0% [39] 804(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ------------------------------------------------------------------------ for-loop [36] 100.0% [40] 420(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ------------------------------------------------------------------------ loop [37] 100.0% [41] 8706(39.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [47] 51.4% make-exacts* [46] 35.2% eval-prog [53] 10.3% map [51] 3.1% ------------------------------------------------------------------------ for-loop [42] 50.0% one-iter [38] 50.0% [42] 1646(7.5%) 604(2.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [42] 50.0% match-e [52] 31.7% ------------------------------------------------------------------------ one-iter [38] 100.0% [43] 1486(6.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [48] 100.0% ------------------------------------------------------------------------ location-do [44] 16.6% for-loop [39] 83.4% [44] 804(3.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [49] 75.1% location-do [44] 16.6% simplify [4] 8.3% ------------------------------------------------------------------------ atab-add-altn [40] 100.0% [45] 420(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [50] 100.0% ------------------------------------------------------------------------ loop [41] 34.6% loop [37] 65.4% [46] 8866(40.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [59] 59.6% map [51] 37.9% eval-prog [53] 2.5% ------------------------------------------------------------------------ loop [37] 31.5% loop [41] 68.5% [47] 6534(30.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [51] 100.0% ------------------------------------------------------------------------ one-iter [38] 22.9% loop [43] 77.1% [48] 1928(8.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 update-leader! [61] 23.0% merge-egraph-nodes! [55] 21.9% for-loop [57] 20.7% match-e [52] 12.4% loop! [67] 11.4% reduce-to-single! [58] 10.5% ------------------------------------------------------------------------ location-do [44] 100.0% [49] 604(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [54] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [45] 100.0% [50] 420(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [56] 100.0% ------------------------------------------------------------------------ loop [41] 2.6% f6 [84] 4.0% make-exacts* [46] 31.8% loop [47] 61.7% [51] 10592(48.6%) 272(1.2%) map ...acket/collects/racket/private/map.rkt:21:13 loop [59] 93.4% ??? [62] 2.1% f6 [84] 1.9% ------------------------------------------------------------------------ apply-match [48] 18.7% for-loop [42] 81.3% [52] 1282(5.9%) 624(2.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [60] 51.3% ------------------------------------------------------------------------ make-exacts* [46] 19.6% loop [41] 80.4% [53] 1112(5.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [73] 82.0% inductor [64] 18.0% ------------------------------------------------------------------------ approximate9 [49] 100.0% [54] 604(2.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ------------------------------------------------------------------------ apply-match [48] 100.0% [55] 422(1.9%) 222(1.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [61] 47.4% ------------------------------------------------------------------------ errors [50] 100.0% [56] 420(1.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [65] 100.0% ------------------------------------------------------------------------ apply-match [48] 100.0% [57] 400(1.8%) 200(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [67] 50.0% ------------------------------------------------------------------------ apply-match [48] 100.0% [58] 202(0.9%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [63] 100.0% ------------------------------------------------------------------------ make-exacts* [46] 0.2% parse-loop50 [79] 0.4% map [51] 0.9% extract-alt [19] 1.1% loop! [67] 1.5% post-process [17] 2.1% ??? [3] 5.1% loop [59] 88.7% [59] 17744(81.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [59] 88.7% hash-ref! [73] 5.1% loop! [67] 1.5% localize-error [68] 1.3% simplify [21] 1.1% ??? [65] 0.9% completely-simplify-alt [23] 0.8% parse-loop50 [79] 0.4% ->flonum [94] 0.2% ------------------------------------------------------------------------ match-e [52] 100.0% [60] 658(3.0%) 460(2.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [70] 30.1% ------------------------------------------------------------------------ merge-egraph-nodes! [55] 31.1% apply-match [48] 68.9% [61] 644(3.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [66] 68.9% update-en-expr [75] 31.1% ------------------------------------------------------------------------ map [51] 100.0% [62] 222(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [73] 100.0% ------------------------------------------------------------------------ reduce-to-single! [58] 100.0% [63] 202(0.9%) 202(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ------------------------------------------------------------------------ eval-prog [53] 33.3% inductor [64] 66.7% [64] 200(0.9%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [64] 66.7% integer->bigfloat [69] 33.3% ------------------------------------------------------------------------ for-loop [56] 2.9% loop [59] 97.1% [65] 14388(66.0%) 460(2.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 71.5% real->bigfloat [72] 21.8% ??? [95] 3.4% ------------------------------------------------------------------------ update-leader! [61] 100.0% [66] 444(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [74] 100.0% ------------------------------------------------------------------------ for-loop [57] 23.8% apply-match [48] 26.2% loop [59] 50.0% [67] 420(1.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [59] 50.0% set [76] 26.2% update-en-expr [75] 23.8% ------------------------------------------------------------------------ loop [59] 100.0% [68] 222(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ------------------------------------------------------------------------ inductor [64] 100.0% [69] 200(0.9%) 200(0.9%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ------------------------------------------------------------------------ for-loop [60] 100.0% [70] 198(0.9%) 198(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ------------------------------------------------------------------------ ??? [65] 100.0% [71] 10294(47.2%) 900(4.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [77] 77.5% ...higher-order.rkt:369:33 [78] 9.1% bf<= [82] 4.6% ------------------------------------------------------------------------ ??? [65] 100.0% [72] 3138(14.4%) 2906(13.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 7.4% ------------------------------------------------------------------------ ??? [62] 6.4% localize-error [68] 6.4% for-loop [13] 7.0% for-loop [18] 7.0% for-loop [11] 7.0% ??? [81] 7.0% loop [54] 7.0% eval-prog [53] 21.6% loop [59] 30.9% [73] 1738(8.0%) 212(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 30.9% bigfloat-hash [80] 15.5% ??? [81] 7.0% ??? [7] 7.0% ??? [6] 7.0% ??? [5] 7.0% simplify [4] 7.0% f6 [84] 6.4% parse-loop50 [79] 6.4% ------------------------------------------------------------------------ for-loop [66] 100.0% [74] 444(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [83] 100.0% ------------------------------------------------------------------------ loop! [67] 50.0% update-leader! [61] 50.0% [75] 400(1.8%) 400(1.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ loop! [67] 100.0% [76] 220(1.0%) 220(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ??? [71] 100.0% [77] 7980(36.6%) 1162(5.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [85] 43.8% bfsqr [86] 21.1% ??? [96] 20.6% ------------------------------------------------------------------------ ??? [71] 100.0% [78] 938(4.3%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [95] 75.9% ??? [88] 24.1% ------------------------------------------------------------------------ loop [59] 8.2% parse-loop50 [79] 8.2% hash-ref! [73] 26.9% simplify [4] 56.8% [79] 826(3.8%) 604(2.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [90] 26.9% parse-loop50 [79] 8.2% loop [59] 8.2% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [80] 700(3.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [87] 68.9% bfcanonicalize [91] 31.1% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [81] 604(2.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [82] 476(2.2%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [96] 100.0% ------------------------------------------------------------------------ for-loop [74] 100.0% [83] 444(2.0%) 222(1.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [89] 50.0% ------------------------------------------------------------------------ simplify [4] 15.8% map [51] 31.6% hash-ref! [73] 52.6% [84] 422(1.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [51] 84.2% gather-multiplicative-terms [92] 15.8% ------------------------------------------------------------------------ ??? [77] 100.0% [85] 3492(16.0%) 1682(7.7%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 51.8% ------------------------------------------------------------------------ ??? [77] 100.0% [86] 1686(7.7%) 958(4.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 43.2% ------------------------------------------------------------------------ bigfloat-hash [80] 100.0% [87] 482(2.2%) 482(2.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ ...higher-order.rkt:369:33 [78] 100.0% [88] 226(1.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ------------------------------------------------------------------------ hash-update! [83] 100.0% [89] 222(1.0%) 222(1.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 ------------------------------------------------------------------------ parse-loop50 [79] 1.7% loop [90] 98.3% [90] 222(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [90] 98.3% ->flonum [94] 1.7% ------------------------------------------------------------------------ bigfloat-hash [80] 100.0% [91] 218(1.0%) 218(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ f6 [84] 100.0% [92] 200(0.9%) 200(0.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ------------------------------------------------------------------------ real->bigfloat [72] 8.4% bfsqr [86] 26.3% bfadd [85] 65.3% [93] 2770(12.7%) 2770(12.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ loop [90] 15.5% loop [59] 84.5% [94] 1436(6.6%) 226(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [96] 84.3% ------------------------------------------------------------------------ ??? [88] 15.8% ??? [65] 34.6% ...higher-order.rkt:369:33 [78] 49.7% [95] 1434(6.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ------------------------------------------------------------------------ bf<= [82] 10.0% ->flonum [94] 25.4% ??? [95] 30.1% ??? [77] 34.5% [96] 4760(21.8%) 1718(7.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 43.2% ??? [98] 20.7% ------------------------------------------------------------------------ ??? [96] 100.0% [97] 2058(9.4%) 1352(6.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 34.3% ------------------------------------------------------------------------ ??? [96] 100.0% [98] 984(4.5%) 748(3.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [100] 24.0% ------------------------------------------------------------------------ ??? [97] 100.0% [99] 706(3.2%) 706(3.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------ ??? [98] 100.0% [100] 236(1.1%) 236(1.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------------