Profiling results ----------------- Total cpu time observed: 12972ms (out of 13284ms) Number of samples taken: 55 (once every 236ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [30] 100.0% [1] 12972(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [2] 5754(44.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 60.5% finalize-table! [11] 32.2% loop [34] 3.8% get-final-combination [13] 3.6% ----------------------------------------------------------------------- loop [68] 7.4% ??? [30] 92.6% [3] 2828(21.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 46.3% for-loop [12] 45.9% iterate-egraph!5 [15] 7.8% ----------------------------------------------------------------------- map [65] 49.5% loop [68] 50.5% [4] 644(5.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [54] 40.9% f94 [61] 33.9% map [65] 25.2% ----------------------------------------------------------------------- loop [68] 100.0% [5] 640(4.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- f94 [61] 100.0% [6] 218(1.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [55] 100.0% ----------------------------------------------------------------------- map [65] 100.0% [7] 202(1.6%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [26] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 12972(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 3480(26.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [5] 32.8% simplify [3] 67.2% [10] 1950(15.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 1850(14.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [16] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 1298(10.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 208(1.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [14] 3480(26.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 75.3% finalize-iter! [22] 12.0% localize-error [21] 6.4% gen-series! [23] 6.3% ----------------------------------------------------------------------- simplify [3] 6.3% for-loop [12] 37.4% simplify-expr [10] 56.2% [15] 3468(26.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 100.0% ----------------------------------------------------------------------- finalize-table! [11] 100.0% [16] 1850(14.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [68] 45.5% for-loop [20] 43.6% ??? [28] 10.9% ----------------------------------------------------------------------- get-final-combination [13] 100.0% [17] 208(1.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [68] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [18] 3468(26.7%) 220(1.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 68.1% loop [27] 19.2% apply-match [32] 6.3% ----------------------------------------------------------------------- run-iter! [14] 100.0% [19] 2620(20.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ----------------------------------------------------------------------- post-process [16] 100.0% [20] 806(6.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [26] 100.0% ----------------------------------------------------------------------- loop [68] 47.4% run-iter! [14] 52.6% [21] 426(3.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [54] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 418(3.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [23] 218(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [24] 2620(20.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ----------------------------------------------------------------------- for-loop [25] 50.0% one-iter [18] 50.0% [25] 2362(18.2%) 1064(8.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [35] 27.5% ----------------------------------------------------------------------- simplify-node [7] 12.5% for-loop [20] 87.5% [26] 806(6.2%) 202(1.6%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [31] 62.4% loop [68] 25.1% ----------------------------------------------------------------------- one-iter [18] 100.0% [27] 666(5.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ----------------------------------------------------------------------- post-process [16] 32.6% finalize-iter! [22] 67.4% [28] 620(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 100.0% ----------------------------------------------------------------------- gen-series! [23] 100.0% [29] 218(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ----------------------------------------------------------------------- for-loop [24] 6.7% run [8] 46.6% [30] 12972(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.6% loop [34] 27.8% run-improve58 [2] 18.8% simplify [3] 6.7% ----------------------------------------------------------------------- loop [68] 19.7% for-loop [29] 21.3% append-map [26] 59.0% [31] 1024(7.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ----------------------------------------------------------------------- one-iter [18] 24.8% loop [27] 75.2% [32] 886(6.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [38] 49.7% substitute-e [39] 25.5% match-e [35] 24.8% ----------------------------------------------------------------------- ??? [28] 100.0% [33] 620(4.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.9% ??? [30] 97.1% [34] 7434(57.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [44] 57.8% loop [40] 39.3% loop [45] 2.9% ----------------------------------------------------------------------- apply-match [32] 7.2% for-loop [47] 14.6% for-loop [25] 78.2% [35] 1518(11.7%) 892(6.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 34.2% for-loop [47] 21.6% ----------------------------------------------------------------------- taylor-alt [31] 100.0% [36] 1024(7.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% ----------------------------------------------------------------------- for-loop [33] 100.0% [37] 620(4.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 100.0% ----------------------------------------------------------------------- apply-match [32] 100.0% [38] 440(3.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [72] 100.0% ----------------------------------------------------------------------- substitute-e [39] 50.0% apply-match [32] 50.0% [39] 226(1.7%) 226(1.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [39] 50.0% ----------------------------------------------------------------------- loop [34] 100.0% [40] 2920(22.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [45] 59.6% make-exacts* [44] 31.2% eval-prog [50] 9.2% ----------------------------------------------------------------------- for-loop [36] 47.1% location-do [41] 52.9% [41] 1024(7.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [41] 52.9% approximate9 [46] 47.1% ----------------------------------------------------------------------- match-e [35] 100.0% [42] 630(4.9%) 200(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [47] 68.3% ----------------------------------------------------------------------- atab-add-altn [37] 100.0% [43] 620(4.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [48] 100.0% ----------------------------------------------------------------------- loop [40] 17.5% loop [34] 82.5% [44] 5210(40.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [68] 58.3% map [65] 41.7% ----------------------------------------------------------------------- loop [34] 11.0% loop [40] 89.0% [45] 1956(15.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% ----------------------------------------------------------------------- location-do [41] 100.0% [46] 1024(7.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [49] 59.0% f94 [61] 21.3% taylor-sqrt [53] 19.7% ----------------------------------------------------------------------- for-loop [42] 49.5% match-e [35] 50.5% [47] 868(6.7%) 208(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 50.9% ??? [52] 25.1% ----------------------------------------------------------------------- best-and-tied-at-points [43] 100.0% [48] 620(4.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [51] 67.4% eval-prog [50] 32.6% ----------------------------------------------------------------------- approximate9 [46] 100.0% [49] 604(4.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [54] 100.0% ----------------------------------------------------------------------- errors [48] 43.0% loop [40] 57.0% [50] 470(3.6%) 470(3.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- errors [48] 100.0% [51] 418(3.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [70] 100.0% ----------------------------------------------------------------------- for-loop [47] 100.0% [52] 218(1.7%) 218(1.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- approximate9 [46] 100.0% [53] 202(1.6%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [55] 100.0% ----------------------------------------------------------------------- ??? [59] 3.3% ??? [58] 7.2% loop [49] 13.7% localize-error [21] 15.8% ??? [4] 25.6% ??? [56] 34.5% [54] 1030(7.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [56] 34.5% parse-loop12 [57] 31.6% f94 [61] 9.8% ??? [58] 7.2% simplify [55] 7.2% taylor [60] 6.5% ??? [59] 3.3% ----------------------------------------------------------------------- taylor-sqrt [53] 24.5% taylor-invert [6] 26.5% hash-ref! [54] 49.0% [55] 824(6.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 make-multiplication-node [63] 26.5% f94 [61] 24.5% debug-print [62] 24.5% simplify* [64] 24.5% ----------------------------------------------------------------------- hash-ref! [54] 100.0% [56] 604(4.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [54] 100.0% ----------------------------------------------------------------------- hash-ref! [54] 100.0% [57] 426(3.3%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [68] 100.0% ----------------------------------------------------------------------- hash-ref! [54] 100.0% [58] 404(3.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [54] 100.0% ----------------------------------------------------------------------- hash-ref! [54] 100.0% [59] 202(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [54] 100.0% ----------------------------------------------------------------------- hash-ref! [54] 100.0% [60] 200(1.5%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [62] 100.0% ----------------------------------------------------------------------- simplify [55] 5.4% ??? [4] 17.5% approximate9 [46] 17.5% map [65] 27.1% hash-ref! [54] 32.5% [61] 622(4.8%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 82.5% taylor-invert [6] 17.5% ----------------------------------------------------------------------- taylor [60] 49.8% simplify [55] 50.2% [62] 402(3.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [66] 100.0% ----------------------------------------------------------------------- simplify [55] 100.0% [63] 218(1.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [67]100.0% ----------------------------------------------------------------------- simplify [55] 100.0% [64] 202(1.6%) 202(1.6%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ----------------------------------------------------------------------- ??? [4] 5.9% f94 [61] 11.1% loop [45] 39.3% make-exacts* [44] 43.7% [65] 4976(38.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [68] 83.0% ??? [4] 7.1% ->flonum [71] 5.9% f94 [61] 3.4% simplify-node [7] 0.7% ----------------------------------------------------------------------- debug-print [62] 100.0% [66] 402(3.1%) 402(3.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- make-multiplication-node [63] 100.0% [67] 218(1.7%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 compose [69] 100.0% ----------------------------------------------------------------------- ??? [70] 0.0% make-exacts* [44] 0.1% parse-loop12 [57] 0.2% loop! [72] 0.3% post-process [16] 1.2% extract-alt [17] 1.2% map [65] 1.3% append-map [26] 2.3% loop [68] 93.5% [68] 8862(68.3%) 184(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [68] 93.5% taylor-alt [31] 2.3% simplify [3] 1.2% ??? [70] 1.2% completely-simplify-alt [5] 1.1% loop! [72] 0.3% ??? [4] 0.2% localize-error [21] 0.0% real->bigfloat [73] 0.0% ->flonum [71] 0.0% ----------------------------------------------------------------------- make-multiplication-subnode [67]100.0% [69] 218(1.7%) 218(1.7%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- for-loop [51] 6.0% loop [68] 94.0% [70] 6994(53.9%) 658(5.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [73] 35.4% ??? [74] 27.6% ...e/case-arrow.rkt:150:50 [75] 11.5% loop [68] 9.5% ??? [84] 6.7% ----------------------------------------------------------------------- loop [68] 48.8% map [65] 51.2% [71] 832(6.4%) 228(1.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [85] 48.3% ??? [78] 24.3% ----------------------------------------------------------------------- loop [68] 25.0% for-loop [38] 75.0% [72] 440(3.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [76] 50.0% loop [68] 25.0% set [77] 25.0% ----------------------------------------------------------------------- loop [68] 21.1% ??? [70] 78.9% [73] 3140(24.2%) 2734(21.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 12.9% ----------------------------------------------------------------------- ??? [70] 100.0% [74] 1928(14.9%) 418(3.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 35.9% bf* [79] 30.9% ...higher-order.rkt:373:33 [80] 11.5% ----------------------------------------------------------------------- ??? [70] 100.0% [75] 802(6.2%) 802(6.2%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- loop! [72] 100.0% [76] 220(1.7%) 220(1.7%) custom-set-union ...et/private/set-types.rkt:168:0 ----------------------------------------------------------------------- loop! [72] 100.0% [77] 220(1.7%) 220(1.7%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ->flonum [71] 100.0% [78] 202(1.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [86] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [79] 596(4.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [81] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [80] 222(1.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [82] 100.0% ----------------------------------------------------------------------- bf* [79] 46.3% ??? [74] 53.7% [81] 1288(9.9%) 212(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [83] 67.2% ??? [85] 16.3% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [80] 100.0% [82] 222(1.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [84] 100.0% ----------------------------------------------------------------------- ??? [81] 100.0% [83] 866(6.7%) 680(5.2%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [86] 21.5% ----------------------------------------------------------------------- ??? [82] 32.3% ??? [70] 67.7% [84] 688(5.3%) 220(1.7%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [85] 68.0% ----------------------------------------------------------------------- ??? [81] 19.4% ->flonum [71] 37.2% ??? [84] 43.3% [85] 1080(8.3%) 678(5.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [87] 37.2% ----------------------------------------------------------------------- bfsub [83] 23.4% ??? [78] 25.4% real->bigfloat [73] 51.1% [86] 794(6.1%) 794(6.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [85] 100.0% [87] 402(3.1%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [88] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [88] 402(3.1%) 402(3.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------