Profiling results ----------------- Total cpu time observed: 103062ms (out of 104028ms) Number of samples taken: 446 (once every 231ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [41] 100.0% [1] 102422(99.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------------ ??? [41] 100.0% [2] 8622(8.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 61.3% loop [10] 34.1% get-final-combination [16] 4.6% ------------------------------------------------------------------------ loop [82] 16.3% ??? [41] 83.7% [3] 2456(2.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 49.8% iterate-egraph!5 [20] 32.9% for-loop [15] 17.3% ------------------------------------------------------------------------ loop [82] 100.0% [4] 1114(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [5] 642(0.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [71] 37.1% parse-loop12 [80] 31.5% debug-print [81] 31.5% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [6] 642(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [7] 440(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [8] 202(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [17] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [9] 102422(99.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [41] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 3.0% ??? [41] 97.0% [10] 97156(94.3%) 220(0.2%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [24] 54.7% loop [18] 43.0% loop [25] 2.1% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 5286(5.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [12] 1224(1.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [13] 642(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [69] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [14] 440(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [69] 73.0% ??? [22] 27.0% ------------------------------------------------------------------------ simplify [3] 100.0% [15] 424(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 mk-egraph [23] 52.4% iterate-egraph!5 [20] 47.6% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [16] 400(0.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [17] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [80] 100.0% ------------------------------------------------------------------------ loop [10] 100.0% [18] 41744(40.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [25] 63.1% make-exacts* [24] 36.9% ------------------------------------------------------------------------ for-loop [11] 100.0% [19] 5286(5.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [27] 38.9% localize-error [28] 21.1% gen-series! [29] 16.4% finalize-iter! [30] 15.7% choose-best-alt! [32] 4.2% gen-rewrites! [33] 3.8% ------------------------------------------------------------------------ for-loop [15] 9.0% simplify [3] 36.2% simplify-expr [12] 54.8% [20] 2234(2.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 100.0% ------------------------------------------------------------------------ get-final-combination [16] 100.0% [21] 400(0.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [82] 100.0% ------------------------------------------------------------------------ for-loop [14] 100.0% [22] 238(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [69] 100.0% ------------------------------------------------------------------------ for-loop [15] 100.0% [23] 222(0.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [31] 100.0% ------------------------------------------------------------------------ loop [18] 22.5% loop [10] 77.5% [24] 68516(66.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [77] 53.7% loop [82] 46.3% ------------------------------------------------------------------------ loop [10] 7.3% loop [18] 92.7% [25] 28420(27.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [77] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [20] 100.0% [26] 2234(2.2%) 202(0.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [35] 81.9% apply-match [39] 9.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [27] 2056(2.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [34] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [28] 1114(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [69] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [29] 866(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [37] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [30] 828(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [36] 100.0% ------------------------------------------------------------------------ mk-egraph [23] 33.3% expr->enode [31] 66.7% [31] 222(0.2%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [31] 66.7% mk-enode! [38] 33.3% ------------------------------------------------------------------------ run-iter! [19] 100.0% [32] 222(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [36] 100.0% ------------------------------------------------------------------------ run-iter! [19] 100.0% [33] 200(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [40] 100.0% ------------------------------------------------------------------------ simplify! [27] 100.0% [34] 2056(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [41] 100.0% ------------------------------------------------------------------------ for-loop [35] 50.0% one-iter [26] 50.0% [35] 1830(1.8%) 1224(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [35] 50.0% match-e [44] 16.6% ------------------------------------------------------------------------ choose-best-alt! [32] 21.1% finalize-iter! [30] 78.9% [36] 1050(1.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [43] 78.9% atab-pick-alt8 [46] 21.1% ------------------------------------------------------------------------ gen-series! [29] 100.0% [37] 866(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [42] 100.0% ------------------------------------------------------------------------ expr->enode [31] 100.0% [38] 222(0.2%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [45] 100.0% ------------------------------------------------------------------------ one-iter [26] 100.0% [39] 202(0.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [44] 100.0% ------------------------------------------------------------------------ gen-rewrites! [33] 100.0% [40] 200(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [47] 100.0% ------------------------------------------------------------------------ for-loop [34] 0.7% run [9] 49.5% [41] 102842(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.5% loop [10] 45.9% run-improve58 [2] 4.0% simplify [3] 0.7% ------------------------------------------------------------------------ for-loop [37] 100.0% [42] 866(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [48] 100.0% ------------------------------------------------------------------------ ??? [36] 100.0% [43] 828(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [49] 100.0% ------------------------------------------------------------------------ for-loop [58] 12.5% apply-match [39] 12.5% for-loop [35] 75.0% [44] 808(0.8%) 404(0.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 50.0% ------------------------------------------------------------------------ mk-enode! [38] 100.0% [45] 222(0.2%) 222(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------ ??? [36] 100.0% [46] 222(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [51] 100.0% ------------------------------------------------------------------------ for-loop [40] 100.0% [47] 200(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [52] 100.0% ------------------------------------------------------------------------ taylor-alt [42] 100.0% [48] 866(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ------------------------------------------------------------------------ for-loop [43] 100.0% [49] 828(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 override-at-pnts [54] 51.2% best-and-tied-at-points [55] 48.8% ------------------------------------------------------------------------ match-e [44] 100.0% [50] 404(0.4%) 202(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [57] 50.0% for-loop [58] 25.0% ------------------------------------------------------------------------ atab-pick-alt8 [46] 100.0% [51] 222(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [56] 100.0% ------------------------------------------------------------------------ ??? [47] 33.3% matcher [65] 66.7% [52] 200(0.2%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [60] 66.7% *rules* [59] 33.3% ------------------------------------------------------------------------ location-do [53] 28.5% for-loop [48] 71.5% [53] 866(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [61] 71.5% location-do [53] 28.5% ------------------------------------------------------------------------ atab-add-altn [49] 100.0% [54] 424(0.4%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [70] 52.4% for-loop [63] 47.6% ------------------------------------------------------------------------ atab-add-altn [49] 100.0% [55] 404(0.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [70] 100.0% ------------------------------------------------------------------------ ??? [51] 100.0% [56] 222(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [62] 100.0% ------------------------------------------------------------------------ for-loop [50] 100.0% [57] 202(0.2%) 202(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ for-loop [50] 100.0% [58] 202(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [44] 100.0% ------------------------------------------------------------------------ rewriter [52] 100.0% [59] 200(0.2%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [64] 100.0% ------------------------------------------------------------------------ rewriter [52] 100.0% [60] 200(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [65] 100.0% ------------------------------------------------------------------------ location-do [53] 100.0% [61] 866(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [66] 100.0% ------------------------------------------------------------------------ best-alt [56] 100.0% [62] 222(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [67] 100.0% ------------------------------------------------------------------------ override-at-pnts [54] 100.0% [63] 202(0.2%) 202(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:146:43 ------------------------------------------------------------------------ *rules* [59] 100.0% [64] 200(0.2%) 200(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ------------------------------------------------------------------------ for-loop [68] 25.0% matcher [65] 25.0% for-loop [60] 50.0% [65] 200(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [52] 50.0% matcher [65] 25.0% for-loop [68] 25.0% ------------------------------------------------------------------------ approximate9 [61] 100.0% [66] 866(0.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ------------------------------------------------------------------------ loop [62] 100.0% [67] 222(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [70] 100.0% ------------------------------------------------------------------------ matcher [65] 100.0% [68] 200(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [65] 100.0% ------------------------------------------------------------------------ ??? [75] 2.0% ??? [22] 2.0% for-loop [84] 2.0% loop [79] 2.0% for-loop [14] 4.0% ??? [74] 4.0% for-loop [13] 6.1% ??? [72] 9.7% loop [66] 11.7% localize-error [28] 24.4% ??? [4] 31.9% [69] 1980(1.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [71] 32.1% parse-loop12 [80] 31.9% ??? [72] 9.7% ??? [6] 6.1% simplify [5] 6.1% ??? [7] 6.0% ??? [74] 4.0% ??? [8] 2.0% ??? [75] 2.0% ------------------------------------------------------------------------ override-at-pnts [54] 26.2% composed [67] 26.2% best-and-tied-at-points [55] 47.6% [70] 848(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [73] 73.8% eval-prog [76] 26.2% ------------------------------------------------------------------------ f6 [71] 8.0% map [77] 8.0% simplify [5] 13.4% hash-ref! [69] 70.6% [71] 1778(1.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [77] 84.0% f6 [71] 8.0% taylor [78] 4.2% loop [79] 3.8% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [72] 628(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [69] 100.0% ------------------------------------------------------------------------ errors [70] 100.0% [73] 626(0.6%) 626(0.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ------------------------------------------------------------------------ hash-ref! [69] 100.0% [74] 440(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [69] 100.0% ------------------------------------------------------------------------ hash-ref! [69] 100.0% [75] 238(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [69] 100.0% ------------------------------------------------------------------------ errors [70] 100.0% [76] 222(0.2%) 222(0.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ f6 [71] 2.7% loop [25] 42.4% make-exacts* [24] 54.9% [77] 67012(65.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [82] 99.0% f6 [71] 0.6% parse-loop12 [80] 0.4% ------------------------------------------------------------------------ f6 [71] 100.0% [78] 224(0.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [81] 100.0% ------------------------------------------------------------------------ f6 [71] 100.0% [79] 202(0.2%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [69] 100.0% ------------------------------------------------------------------------ loop [82] 5.8% simplify [5] 5.8% parse-loop12 [80] 6.8% map [77] 6.8% for-loop [17] 11.5% hash-ref! [69] 63.4% [80] 1756(1.7%) 440(0.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [82] 69.2% for-loop [84] 11.5% parse-loop12 [80] 6.8% ------------------------------------------------------------------------ simplify [5] 47.4% taylor [78] 52.6% [81] 426(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [83] 100.0% ------------------------------------------------------------------------ extract-alt [21] 0.1% parse-loop12 [80] 0.3% make-exacts* [24] 0.3% map [77] 1.4% loop [82] 97.9% [82] 98872(95.9%) 220(0.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [82] 97.9% ??? [85] 1.7% parse-loop12 [80] 0.2% simplify [3] 0.1% ??? [4] 0.1% ??? [91] 0.0% ->flonum [86] 0.0% ------------------------------------------------------------------------ debug-print [81] 100.0% [83] 426(0.4%) 426(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ parse-loop12 [80] 100.0% [84] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [69] 100.0% ------------------------------------------------------------------------ loop [82] 100.0% [85] 96916(94.0%) 924(0.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 97.6% real->bigfloat [88] 1.2% ??? [95] 0.2% ------------------------------------------------------------------------ loop [82] 100.0% [86] 240(0.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 100.0% ------------------------------------------------------------------------ ??? [85] 100.0% [87] 94586(91.8%) 870(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 96.9% ...higher-order.rkt:373:33 [90] 1.5% ------------------------------------------------------------------------ ??? [85] 100.0% [88] 1184(1.1%) 1184(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------ ->flonum [86] 100.0% [89] 240(0.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [97] 100.0% ------------------------------------------------------------------------ ??? [87] 100.0% [90] 1382(1.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ------------------------------------------------------------------------ loop [82] 1.0% ??? [87] 98.3% [91] 93228(90.5%) 85848(83.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [93] 3.9% bfcos [94] 2.9% ??? [96] 1.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [90]100.0% [92] 1382(1.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ------------------------------------------------------------------------ ??? [91] 100.0% [93] 3668(3.6%) 3464(3.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 5.6% ------------------------------------------------------------------------ ??? [91] 100.0% [94] 2748(2.7%) 2528(2.5%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 8.0% ------------------------------------------------------------------------ ??? [85] 13.8% ??? [92] 86.2% [95] 1604(1.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ------------------------------------------------------------------------ ??? [91] 37.5% ??? [95] 62.5% [96] 2568(2.5%) 1620(1.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 27.6% ??? [99] 9.3% ------------------------------------------------------------------------ bfsub [93] 30.7% bfcos [94] 33.1% ??? [89] 36.1% [97] 664(0.6%) 664(0.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [96] 100.0% [98] 710(0.7%) 488(0.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 31.3% ------------------------------------------------------------------------ ??? [96] 100.0% [99] 238(0.2%) 238(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [98] 100.0% [100] 222(0.2%) 222(0.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------