Profiling results ----------------- Total cpu time observed: 12082ms (out of 12512ms) Number of samples taken: 54 (once every 224ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [34] 100.0% [1] 11744(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [34] 100.0% [2] 5282(43.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 56.3% finalize-table! [10] 39.5% get-final-combination [14] 4.2% ----------------------------------------------------------------------- loop [72] 10.3% ??? [34] 89.7% [3] 2148(17.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 51.4% for-loop [12] 29.0% iterate-egraph!5 [18] 19.6% ----------------------------------------------------------------------- loop [72] 100.0% [4] 422(3.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ----------------------------------------------------------------------- f37 [73] 100.0% [5] 202(1.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [13] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [6] 200(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [7] 200(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 11744(97.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2972(24.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 2088(17.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [19] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 27.7% simplify [3] 72.3% [11] 1526(12.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 622(5.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- taylor-sqrt [60] 50.0% taylor-invert [5] 50.0% [13] 404(3.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [63] 50.0% hash-ref! [59] 50.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 222(1.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [20] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [15] 200(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [21] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [16] 200(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [59] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [17] 2972(24.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 64.8% finalize-iter! [25] 20.9% gen-series! [26] 14.3% ----------------------------------------------------------------------- simplify [3] 16.4% for-loop [12] 24.2% simplify-expr [11] 59.4% [18] 2570(21.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 92.2% map-enodes [27] 7.8% ----------------------------------------------------------------------- finalize-table! [10] 100.0% [19] 2088(17.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [24] 60.5% loop [72] 29.9% ??? [31] 9.6% ----------------------------------------------------------------------- get-final-combination [14] 100.0% [20] 222(1.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [72] 100.0% ----------------------------------------------------------------------- for-loop [15] 100.0% [21] 200(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [59] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [22] 2370(19.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 72.1% loop [32] 27.9% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 1926(15.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ----------------------------------------------------------------------- post-process [19] 100.0% [24] 1264(10.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [30] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [25] 622(5.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [26] 424(3.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [27] 200(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [72] 100.0% ----------------------------------------------------------------------- simplify! [23] 100.0% [28] 1926(15.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ----------------------------------------------------------------------- for-loop [29] 50.0% one-iter [22] 50.0% [29] 1708(14.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [39] 50.0% ----------------------------------------------------------------------- simplify-node [61] 8.8% for-loop [24] 91.2% [30] 1264(10.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 91.2% parse-loop12 [68] 8.8% ----------------------------------------------------------------------- post-process [19] 24.3% finalize-iter! [25] 75.7% [31] 822(6.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% ----------------------------------------------------------------------- one-iter [22] 100.0% [32] 662(5.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% ----------------------------------------------------------------------- gen-series! [26] 100.0% [33] 424(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- for-loop [28] 5.3% run [8] 45.9% [34] 12082(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.9% loop [38] 29.5% run-improve58 [2] 19.2% simplify [3] 5.3% ----------------------------------------------------------------------- for-loop [33] 25.1% append-map [30] 74.9% [35] 1688(14.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [36] 822(6.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% ----------------------------------------------------------------------- loop [32] 100.0% [37] 662(5.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 36.6% loop! [76] 33.2% match-e [39] 30.2% ----------------------------------------------------------------------- ??? [34] 100.0% [38] 6800(56.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 57.5% make-exacts* [49] 28.1% loop [50] 14.4% ----------------------------------------------------------------------- apply-match [37] 5.2% for-loop [53] 11.1% for-loop [29] 83.7% [39] 1908(15.8%) 1106(9.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 21.5% custom-in-set [47] 10.6% for-loop [53] 10.5% loop [72] 5.2% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [40] 1688(14.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ----------------------------------------------------------------------- for-loop [36] 100.0% [41] 822(6.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 75.7% override-at-pnts [48] 24.3% ----------------------------------------------------------------------- apply-match [37] 100.0% [42] 242(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [76] 100.0% ----------------------------------------------------------------------- loop [38] 100.0% [43] 3912(32.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 49.9% make-exacts* [49] 45.8% eval-prog [57] 4.3% ----------------------------------------------------------------------- location-do [44] 18.3% for-loop [40] 81.7% [44] 1688(14.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [51] 81.7% location-do [44] 18.3% ----------------------------------------------------------------------- atab-add-altn [41] 100.0% [45] 622(5.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 100.0% ----------------------------------------------------------------------- match-e [39] 100.0% [46] 622(5.1%) 200(1.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 67.8% ----------------------------------------------------------------------- match-e [39] 100.0% [47] 202(1.7%) 202(1.7%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- atab-add-altn [41] 100.0% [48] 200(1.7%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [52] 100.0% ----------------------------------------------------------------------- loop [43] 48.4% loop [38] 51.6% [49] 3700(30.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 63.1% map [54] 25.6% eval-prog [57] 11.3% ----------------------------------------------------------------------- loop [38] 33.4% loop [43] 66.6% [50] 2932(24.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [54] 100.0% ----------------------------------------------------------------------- location-do [44] 100.0% [51] 1688(14.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [55] 50.1% f37 [73] 37.0% taylor-sqrt [60] 12.9% ----------------------------------------------------------------------- override-at-pnts [48] 24.3% best-and-tied-at-points [45] 75.7% [52] 822(6.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [56] 100.0% ----------------------------------------------------------------------- match-e [39] 32.2% for-loop [46] 67.8% [53] 622(5.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 67.8% ??? [58] 32.2% ----------------------------------------------------------------------- gather-multiplicative-terms [77] 2.5% f37 [73] 11.8% make-exacts* [49] 20.9% loop [50] 64.8% [54] 4522(37.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 82.7% taylor-sqrt [60] 9.3% ??? [75] 3.1% simplify-node [61] 2.5% gather-multiplicative-terms [77] 2.5% ----------------------------------------------------------------------- approximate9 [51] 100.0% [55] 846(7.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [59] 100.0% ----------------------------------------------------------------------- errors [52] 100.0% [56] 822(6.8%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 75.7% ->flonum [62] 24.3% ----------------------------------------------------------------------- loop [43] 28.7% make-exacts* [49] 71.3% [57] 586(4.9%) 248(2.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [59] 57.7% ----------------------------------------------------------------------- for-loop [53] 100.0% [58] 200(1.7%) 200(1.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- for-loop [16] 3.1% ??? [21] 3.1% eval-prog [57] 4.3% ??? [80] 6.4% localize-error [79] 6.4% first-nonzero-exp [13] 12.7% loop [72] 17.0% ??? [64] 23.5% loop [55] 23.5% [59] 1588(13.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [63] 36.2% ??? [64] 23.5% ??? [66] 17.0% parse-loop12 [68] 12.7% bigfloat-hash [65] 4.3% ??? [7] 3.1% ??? [6] 3.1% ----------------------------------------------------------------------- approximate9 [51] 34.1% map [54] 65.9% [60] 640(5.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [63] 68.4% first-nonzero-exp [13] 31.6% ----------------------------------------------------------------------- map [54] 100.0% [61] 222(1.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [30] 100.0% ----------------------------------------------------------------------- for-loop [56] 100.0% [62] 200(1.7%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [67] 100.0% ----------------------------------------------------------------------- first-nonzero-exp [13] 12.0% taylor-sqrt [60] 25.9% hash-ref! [59] 62.1% [63] 1688(14.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [73] 51.3% parse-loop12 [68] 36.7% debug-print [69] 12.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [64] 846(7.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [65] 338(2.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [70] 50.3% sig+exp->bigfloat [71] 49.7% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [66] 338(2.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [72] 100.0% ----------------------------------------------------------------------- ->flonum [62] 100.0% [67] 200(1.7%) 200(1.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- hash-ref! [59] 19.3% append-map [30] 21.3% simplify [63] 59.4% [68] 1044(8.6%) 620(5.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f37 [73] 21.3% loop [72] 9.7% ??? [87] 9.7% ----------------------------------------------------------------------- simplify [63] 100.0% [69] 202(1.7%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [74] 100.0% ----------------------------------------------------------------------- bigfloat-hash [65] 100.0% [70] 170(1.4%) 170(1.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- bigfloat-hash [65] 100.0% [71] 168(1.4%) 168(1.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- loop! [76] 0.2% make-exacts* [49] 0.6% map [54] 0.9% parse-loop12 [68] 1.3% post-process [19] 1.7% map-enodes [27] 2.5% match-e [39] 2.5% extract-alt [20] 2.8% ??? [66] 4.3% loop [72] 83.2% [72] 7900(65.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 83.2% hash-ref! [59] 4.3% simplify [3] 2.8% foldl [81] 2.5% for-loop [82] 2.5% ??? [75] 1.5% localize-error [79] 1.3% ??? [80] 1.3% completely-simplify-alt [4] 0.4% loop! [76] 0.2% ----------------------------------------------------------------------- parse-loop12 [68] 10.4% approximate9 [51] 13.6% f37 [73] 36.0% simplify [63] 40.0% [73] 1068(8.8%) 424(3.5%) f37 ...t/collects/racket/match/compiler.rkt:499:40 f37 [73] 36.0% map [54] 19.2% gather-multiplicative-terms [77] 10.4% taylor-invert [5] 4.7% combine-mterms [78] 4.1% ----------------------------------------------------------------------- debug-print [69] 100.0% [74] 202(1.7%) 202(1.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- map [54] 2.0% for-loop [56] 9.1% loop [72] 88.9% [75] 6836(56.6%) 170(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 74.7% real->bigfloat [84] 22.8% ----------------------------------------------------------------------- loop [72] 26.2% merge-egraph-nodes! [42] 26.2% apply-match [37] 47.6% [76] 462(3.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [85] 73.8% loop [72] 26.2% ----------------------------------------------------------------------- map [54] 50.0% f37 [73] 50.0% [77] 222(1.8%) 222(1.8%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [54] 50.0% ----------------------------------------------------------------------- f37 [73] 100.0% [78] 220(1.8%) 220(1.8%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 ----------------------------------------------------------------------- loop [72] 100.0% [79] 202(1.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [59] 100.0% ----------------------------------------------------------------------- loop [72] 100.0% [80] 202(1.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [59] 100.0% ----------------------------------------------------------------------- loop [72] 100.0% [81] 200(1.7%) 200(1.7%) foldl ...et/collects/racket/private/list.rkt:229:4 ----------------------------------------------------------------------- loop [72] 100.0% [82] 200(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [86] 100.0% ----------------------------------------------------------------------- ??? [75] 100.0% [83] 5106(42.3%) 966(8.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 68.8% ...higher-order.rkt:373:33 [88] 12.3% ----------------------------------------------------------------------- ??? [75] 100.0% [84] 1560(12.9%) 1286(10.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 17.6% ----------------------------------------------------------------------- loop! [76] 100.0% [85] 462(3.8%) 242(2.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [89] 47.6% ----------------------------------------------------------------------- for-loop [82] 100.0% [86] 200(1.7%) 200(1.7%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- parse-loop12 [68] 5.4% ??? [83] 94.6% [87] 3716(30.8%) 140(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [90] 46.6% ??? [96] 38.2% bfsqrt [92] 11.5% ----------------------------------------------------------------------- ??? [83] 100.0% [88] 626(5.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ----------------------------------------------------------------------- custom-set-union [85] 100.0% [89] 220(1.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [93] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [90] 1730(14.3%) 1472(12.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 14.9% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 100.0% [91] 626(5.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [87] 100.0% [92] 428(3.5%) 222(1.8%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 48.1% ----------------------------------------------------------------------- for-loop [89] 100.0% [93] 220(1.8%) 220(1.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- bfsqrt [92] 27.9% bfadd [90] 35.0% real->bigfloat [84] 37.1% [94] 738(6.1%) 738(6.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [91] 100.0% [95] 626(5.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [95] 30.6% ??? [87] 69.4% [96] 2044(16.9%) 1802(14.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 11.8% ----------------------------------------------------------------------- ??? [96] 100.0% [97] 242(2.0%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 100.0% ----------------------------------------------------------------------- ??? [97] 100.0% [98] 242(2.0%) 242(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------