Profiling results ----------------- Total cpu time observed: 97710ms (out of 98616ms) Number of samples taken: 429 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 96 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [34] 100.0% [1] 97042(99.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [34] 100.0% [2] 5772(5.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 77.7% loop [41] 11.4% get-final-combination [9] 7.3% setup-prog [12] 3.5% ----------------------------------------------------------------------- simplify-alt [18] 6.6% loop [73] 13.9% ??? [34] 79.5% [3] 3056(3.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 53.7% iterate-egraph!5 [14] 46.3% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [4] 220(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [5] 198(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [10] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 97042(99.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 4486(4.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 1640(1.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 50.4% loop [15] 49.6% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 424(0.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ----------------------------------------------------------------------- taylor-quotient [5] 47.4% hash-ref! [67] 52.6% [10] 418(0.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [69] 52.6% f6 [76] 47.4% ----------------------------------------------------------------------- ??? [4] 100.0% [11] 220(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [17] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 202(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [18] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [13] 4486(4.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 54.2% finalize-iter! [22] 18.1% gen-series! [24] 13.8% localize-error [25] 9.5% gen-rewrites! [26] 4.5% ----------------------------------------------------------------------- simplify-expr [8] 36.8% simplify [3] 63.2% [14] 2242(2.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 63.8% map-enodes [23] 36.2% ----------------------------------------------------------------------- simplify-expr [8] 100.0% [15] 814(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ----------------------------------------------------------------------- get-final-combination [9] 100.0% [16] 424(0.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ----------------------------------------------------------------------- for-loop [11] 100.0% [17] 220(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [67] 100.0% ----------------------------------------------------------------------- setup-prog [12] 100.0% [18] 202(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 2430(2.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [20] 1430(1.5%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 71.9% loop [32] 28.1% ----------------------------------------------------------------------- loop [15] 100.0% [21] 814(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [22] 814(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [23] 812(0.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [73] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [24] 618(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [25] 424(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [26] 200(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [33] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [27] 2430(2.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ----------------------------------------------------------------------- for-loop [28] 50.0% one-iter [20] 50.0% [28] 1028(1.1%) 624(0.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [45] 19.6% ----------------------------------------------------------------------- pass [21] 100.0% [29] 814(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [35] 100.0% ----------------------------------------------------------------------- finalize-iter! [22] 100.0% [30] 814(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 75.9% atab-add-altns [40] 24.1% ----------------------------------------------------------------------- gen-series! [24] 100.0% [31] 618(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ----------------------------------------------------------------------- one-iter [20] 100.0% [32] 402(0.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ----------------------------------------------------------------------- gen-rewrites! [26] 100.0% [33] 200(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [39] 100.0% ----------------------------------------------------------------------- for-loop [27] 0.8% run [6] 49.3% [34] 97510(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.3% loop [41] 47.2% run-improve58 [2] 2.7% simplify [3] 0.8% ----------------------------------------------------------------------- for-loop [29] 100.0% [35] 814(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [42] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [36] 618(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- for-loop [31] 100.0% [37] 618(0.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ----------------------------------------------------------------------- loop [32] 100.0% [38] 402(0.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 reduce-to-single! [46] 50.2% match-e [45] 49.8% ----------------------------------------------------------------------- for-loop [33] 100.0% [39] 200(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [47] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [40] 196(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 0.7% ??? [34] 99.3% [41] 92398(94.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [54] 56.7% loop [48] 42.9% loop [55] 0.5% ----------------------------------------------------------------------- argmin [35] 100.0% [42] 814(0.8%) 814(0.8%) expression-cost ...k/herbie/src/programs.rkt:212:0 ----------------------------------------------------------------------- atab-add-altns [40] 24.1% for-loop [36] 75.9% [43] 814(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 75.4% override-at-pnts [51] 24.6% ----------------------------------------------------------------------- taylor-alt [37] 100.0% [44] 618(0.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ----------------------------------------------------------------------- for-loop [59] 16.6% apply-match [38] 16.6% for-loop [28] 66.9% [45] 604(0.6%) 404(0.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [52] 33.1% ----------------------------------------------------------------------- apply-match [38] 100.0% [46] 202(0.2%) 202(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ----------------------------------------------------------------------- matcher [58] 50.0% ??? [39] 50.0% [47] 200(0.2%) 200(0.2%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [53] 50.0% ----------------------------------------------------------------------- loop [41] 100.0% [48] 39602(40.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 65.0% make-exacts* [54] 35.0% ----------------------------------------------------------------------- location-do [49] 16.0% for-loop [44] 84.0% [49] 618(0.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [57] 84.0% location-do [49] 16.0% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [50] 614(0.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 100.0% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [51] 200(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [56] 100.0% ----------------------------------------------------------------------- match-e [45] 100.0% [52] 200(0.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [59] 50.0% ----------------------------------------------------------------------- rewriter [47] 100.0% [53] 200(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [58] 100.0% ----------------------------------------------------------------------- loop [48] 20.9% loop [41] 79.1% [54] 66254(67.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [73] 51.0% map [60] 49.0% ----------------------------------------------------------------------- loop [41] 1.6% loop [48] 98.4% [55] 26144(26.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 99.2% loop [73] 0.8% ----------------------------------------------------------------------- override-at-pnts [51] 24.6% best-and-tied-at-points [50] 75.4% [56] 814(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [62] 51.4% for-loop [63] 48.6% ----------------------------------------------------------------------- location-do [49] 100.0% [57] 618(0.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 100.0% ----------------------------------------------------------------------- for-loop [64] 50.0% for-loop [53] 50.0% [58] 200(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 for-loop [64] 50.0% rewriter [47] 50.0% ----------------------------------------------------------------------- for-loop [52] 100.0% [59] 200(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% ----------------------------------------------------------------------- f6 [76] 1.4% loop [55] 43.8% make-exacts* [54] 54.8% [60] 59230(60.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 99.0% ??? [86] 0.3% ??? [65] 0.3% f6 [76] 0.2% simplify-node [66] 0.2% ----------------------------------------------------------------------- approximate9 [57] 100.0% [61] 618(0.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ----------------------------------------------------------------------- errors [56] 100.0% [62] 418(0.4%) 418(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- errors [56] 100.0% [63] 396(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 100.0% ----------------------------------------------------------------------- matcher [58] 100.0% [64] 200(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [58] 100.0% ----------------------------------------------------------------------- map [60] 32.1% loop [73] 67.9% [65] 624(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [67] 67.9% f6 [76] 32.1% ----------------------------------------------------------------------- map [60] 100.0% [66] 198(0.2%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [68] 100.0% ----------------------------------------------------------------------- ??? [71] 4.2% ??? [17] 4.2% ??? [72] 4.2% localize-error [25] 17.1% ??? [70] 23.3% loop [61] 23.3% ??? [65] 23.6% [67] 1042(1.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [76] 26.7% parse-loop12 [69] 23.6% ??? [70] 23.3% taylor-quotient [5] 9.5% ??? [72] 4.2% ??? [4] 4.2% ??? [71] 4.2% simplify [10] 4.2% ----------------------------------------------------------------------- simplify-node [66] 100.0% [68] 198(0.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop12 [69] 100.0% ----------------------------------------------------------------------- append-map [68] 23.5% simplify [10] 26.1% hash-ref! [67] 50.4% [69] 842(0.9%) 220(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [73] 50.4% for-loop [74] 23.5% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [70] 618(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [67] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [71] 220(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [67] 100.0% ----------------------------------------------------------------------- hash-ref! [67] 100.0% [72] 220(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ----------------------------------------------------------------------- loop [55] 0.1% extract-alt [16] 0.1% make-exacts* [54] 0.1% map-enodes [23] 0.1% parse-loop12 [69] 0.2% map [60] 1.2% loop [73] 98.1% [73] 94258(96.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 98.1% ??? [75] 1.4% ??? [65] 0.2% for-loop [77] 0.1% simplify [3] 0.1% ??? [86] 0.0% ----------------------------------------------------------------------- parse-loop12 [69] 100.0% [74] 198(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f6 [76] 100.0% ----------------------------------------------------------------------- for-loop [63] 0.4% loop [73] 99.6% [75] 92994(95.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 97.8% real->bigfloat [79] 1.5% ??? [90] 0.5% ----------------------------------------------------------------------- for-loop [74] 8.0% map [60] 8.0% simplify [10] 8.0% f6 [76] 8.1% ??? [65] 8.1% hash-ref! [67] 59.7% [76] 822(0.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [60] 75.8% f6 [76] 8.1% taylor [81] 8.1% gather-multiplicative-terms [82] 8.0% ----------------------------------------------------------------------- loop [73] 100.0% [77] 812(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [80] 100.0% ----------------------------------------------------------------------- ??? [75] 100.0% [78] 90926(93.1%) 200(0.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 95.9% bf* [83] 2.6% ...higher-order.rkt:373:33 [84] 1.0% ----------------------------------------------------------------------- ??? [75] 100.0% [79] 1418(1.5%) 708(0.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [92] 50.1% ----------------------------------------------------------------------- for-loop [77] 100.0% [80] 812(0.8%) 812(0.8%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- f6 [76] 100.0% [81] 200(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [85] 100.0% ----------------------------------------------------------------------- f6 [76] 100.0% [82] 198(0.2%) 198(0.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- ??? [78] 100.0% [83] 2386(2.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [86] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [84] 926(0.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [87] 100.0% ----------------------------------------------------------------------- taylor [81] 100.0% [85] 200(0.2%) 200(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- map [60] 0.2% loop [73] 0.2% bf* [83] 2.7% ??? [78] 96.9% [86] 90028(92.1%) 84234(86.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [88] 3.7% bfcos [89] 2.0% ??? [91] 0.7% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [84] 100.0% [87] 926(0.9%) 238(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 74.3% ----------------------------------------------------------------------- ??? [86] 100.0% [88] 3370(3.4%) 2678(2.7%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [92] 20.5% ----------------------------------------------------------------------- ??? [86] 100.0% [89] 1822(1.9%) 1598(1.6%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [92] 12.3% ----------------------------------------------------------------------- ??? [75] 38.6% ??? [87] 61.4% [90] 1120(1.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ----------------------------------------------------------------------- ??? [86] 35.0% ??? [90] 65.0% [91] 1722(1.8%) 676(0.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [93] 60.7% ----------------------------------------------------------------------- bfcos [89] 13.8% bfdiv [88] 42.6% real->bigfloat [79] 43.7% [92] 1626(1.7%) 1626(1.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [91] 100.0% [93] 1046(1.1%) 670(0.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 35.9% ----------------------------------------------------------------------- ??? [93] 100.0% [94] 376(0.4%) 376(0.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------