Profiling results ----------------- Total cpu time observed: 18824ms (out of 19180ms) Number of samples taken: 85 (once every 221ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 17136(91.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 11958(63.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 98.0% get-final-combination [12] 2.0% ----------------------------------------------------------------------- ??? [33] 100.0% [3] 9144(48.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [8] 34.2% simplify-expr [9] 33.8% iterate-egraph!5 [14] 31.9% ----------------------------------------------------------------------- location-do [49] 100.0% [4] 1518(8.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [10] 86.8% f6 [77] 13.2% ----------------------------------------------------------------------- hash-ref! [58] 100.0% [5] 1318(7.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [11] 53.3% hash-ref! [58] 46.7% ----------------------------------------------------------------------- profile-thunk14 [1] 98.8% [6] 17338(92.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 11716(62.2%) 202(1.1%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 98.3% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 3130(16.6%) 342(1.8%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 89.1% ----------------------------------------------------------------------- simplify [3] 100.0% [9] 3094(16.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 93.1% loop [16] 6.9% ----------------------------------------------------------------------- approximate9 [4] 100.0% [10] 1318(7.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [58] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [11] 702(3.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [58] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 242(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [13] 11514(61.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 79.4% gen-series! [19] 13.2% finalize-iter! [20] 5.4% localize-error [23] 2.0% ----------------------------------------------------------------------- for-loop [8] 32.5% simplify-expr [9] 33.6% simplify [3] 34.0% [14] 8590(45.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 95.1% map-enodes [21] 4.9% ----------------------------------------------------------------------- get-final-combination [12] 100.0% [15] 242(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [22] 100.0% ----------------------------------------------------------------------- simplify-expr [9] 100.0% [16] 212(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [24] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [17] 9144(48.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 8168(43.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 60.5% loop [27] 37.0% loop [32] 2.5% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 1518(8.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [20] 620(3.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [21] 422(2.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [81] 100.0% ----------------------------------------------------------------------- extract-alt [15] 100.0% [22] 242(1.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [30] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [23] 232(1.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [58] 100.0% ----------------------------------------------------------------------- loop [16] 100.0% [24] 212(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [31] 100.0% ----------------------------------------------------------------------- simplify! [17] 100.0% [25] 9144(48.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [18] 50.0% [26] 4940(26.2%) 730(3.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [40] 42.6% ----------------------------------------------------------------------- one-iter [18] 100.0% [27] 3026(16.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [34] 100.0% ----------------------------------------------------------------------- gen-series! [19] 100.0% [28] 1518(8.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ----------------------------------------------------------------------- finalize-iter! [20] 100.0% [29] 620(3.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 64.5% atab-add-altns [37] 35.5% ----------------------------------------------------------------------- loop [22] 100.0% [30] 242(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [61] 100.0% ----------------------------------------------------------------------- pass [24] 100.0% [31] 212(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [38] 100.0% ----------------------------------------------------------------------- one-iter [18] 100.0% [32] 202(1.1%) 202(1.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- for-loop [25] 17.3% run [6] 39.9% [33] 18604(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.8% run-improve58 [2] 25.4% loop [39] 18.5% simplify [3] 17.3% ----------------------------------------------------------------------- loop [27] 100.0% [34] 3026(16.1%) 404(2.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 33.3% match-e [40] 20.0% for-loop [44] 19.9% loop! [52] 6.8% substitute-e [46] 6.7% ----------------------------------------------------------------------- for-loop [28] 100.0% [35] 1518(8.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [36] 400(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [37] 220(1.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- for-loop [31] 100.0% [38] 212(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [45] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [39] 6646(35.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [56] 54.0% loop [47] 42.9% loop [59] 3.0% ----------------------------------------------------------------------- apply-match [34] 7.7% for-loop [57] 17.7% for-loop [26] 74.6% [40] 4814(25.6%) 2736(14.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [48] 31.6% for-loop [57] 7.7% loop [81] 6.7% list-cartesian-product [62] 2.1% variable? [55] 1.4% ----------------------------------------------------------------------- taylor-alt [35] 100.0% [41] 1518(8.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [42] 13.4% apply-match [34] 86.6% [42] 1008(5.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 86.6% merge-egraph-nodes! [42] 13.4% ----------------------------------------------------------------------- atab-add-altns [37] 35.5% for-loop [36] 64.5% [43] 620(3.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% ----------------------------------------------------------------------- apply-match [34] 100.0% [44] 602(3.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [52] 66.4% mk-enode! [54] 33.6% ----------------------------------------------------------------------- argmin [38] 100.0% [45] 212(1.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [53] 100.0% ----------------------------------------------------------------------- substitute-e [46] 50.0% apply-match [34] 50.0% [46] 202(1.1%) 202(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [46] 50.0% ----------------------------------------------------------------------- loop [39] 100.0% [47] 2854(15.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [59] 56.8% make-exacts* [56] 43.2% ----------------------------------------------------------------------- match-e [40] 100.0% [48] 2060(10.9%) 424(2.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 64.4% curried [86] 10.7% list-cartesian-product [62] 9.7% ----------------------------------------------------------------------- for-loop [41] 31.8% location-do [49] 68.2% [49] 1518(8.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [49] 68.2% approximate9 [4] 31.8% ----------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [50] 1008(5.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [51] 620(3.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 67.7% for-loop [65] 32.3% ----------------------------------------------------------------------- loop [81] 17.0% apply-match [34] 17.0% for-loop [44] 66.0% [52] 606(3.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [63] 66.0% loop [81] 17.0% update-en-expr [64] 17.0% ----------------------------------------------------------------------- expression-cost [45] 100.0% [53] 212(1.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [58] 100.0% ----------------------------------------------------------------------- for-loop [44] 100.0% [54] 202(1.1%) 202(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- match-e [40] 100.0% [55] 200(1.1%) 200(1.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ----------------------------------------------------------------------- loop [47] 25.6% loop [39] 74.4% [56] 4826(25.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [78] 54.6% loop [81] 45.4% ----------------------------------------------------------------------- match-e [40] 34.5% for-loop [48] 65.5% [57] 2044(10.9%) 200(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 80.3% ??? [71] 9.9% ----------------------------------------------------------------------- localize-error [23] 3.0% ??? [70] 5.4% compile [53] 5.4% ??? [88] 8.9% first-nonzero-exp [84] 10.2% ??? [5] 10.5% for-loop [11] 11.9% ??? [67] 22.4% loop [10] 22.4% [58] 1962(10.4%) 212(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [66] 32.6% ??? [67] 22.4% ??? [5] 22.4% parse-loop12 [75] 5.9% f6 [77] 5.9% ??? [70] 5.4% ----------------------------------------------------------------------- loop [39] 11.0% loop [47] 89.0% [59] 1820(9.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ----------------------------------------------------------------------- update-leader! [50] 100.0% [60] 1008(5.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [68] 100.0% ----------------------------------------------------------------------- composed [30] 36.6% best-and-tied-at-points [51] 63.4% [61] 662(3.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [69] 69.8% for-loop [74] 30.2% ----------------------------------------------------------------------- list-cartesian-product [62] 24.9% for-loop [48] 24.9% match-e [40] 50.2% [62] 402(2.1%) 202(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [62] 24.9% for-loop [73] 24.9% ----------------------------------------------------------------------- loop! [52] 100.0% [63] 400(2.1%) 200(1.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [72] 50.0% ----------------------------------------------------------------------- loop! [52] 100.0% [64] 206(1.1%) 206(1.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [65] 200(1.1%) 200(1.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- hash-ref! [58] 100.0% [66] 1518(8.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [75] 85.5% f6 [77] 14.5% ----------------------------------------------------------------------- hash-ref! [58] 100.0% [67] 1318(7.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [58] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [68] 1008(5.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [76] 100.0% ----------------------------------------------------------------------- errors [61] 100.0% [69] 462(2.5%) 462(2.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- hash-ref! [58] 100.0% [70] 212(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [58] 100.0% ----------------------------------------------------------------------- for-loop [57] 100.0% [71] 202(1.1%) 202(1.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- custom-set-union [63] 100.0% [72] 200(1.1%) 200(1.1%) for-loop ...cts/racket/private/set-types.rkt:174:3 ----------------------------------------------------------------------- list-cartesian-product [62] 100.0% [73] 200(1.1%) 200(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- errors [61] 100.0% [74] 200(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [85] 100.0% ----------------------------------------------------------------------- hash-ref! [58] 15.2% parse-loop12 [75] 21.1% loop [81] 27.1% simplify [66] 36.6% [75] 1530(8.1%) 1298(6.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [81] 37.9% parse-loop12 [75] 21.1% map [78] 4.4% ----------------------------------------------------------------------- for-loop [68] 100.0% [76] 1008(5.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [79] 100.0% ----------------------------------------------------------------------- simplify [66] 6.7% map [78] 27.0% approximate9 [4] 30.7% hash-ref! [58] 35.6% [77] 652(3.5%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [78] 69.3% taylor-quotient [80] 30.7% ----------------------------------------------------------------------- parse-loop12 [75] 3.9% f6 [77] 8.8% loop [59] 35.6% make-exacts* [56] 51.6% [78] 5108(27.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 93.4% f6 [77] 3.4% ??? [88] 2.3% make-multiplication-node [83] 0.9% ----------------------------------------------------------------------- hash-update! [76] 100.0% [79] 1008(5.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [82] 100.0% ----------------------------------------------------------------------- f6 [77] 100.0% [80] 200(1.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [84] 100.0% ----------------------------------------------------------------------- make-exacts* [56] 0.1% map-enodes [21] 0.6% map [78] 1.5% loop! [52] 2.3% match-e [40] 2.7% parse-loop12 [75] 4.5% loop [81] 88.2% [81] 8772(46.6%) 458(2.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 88.2% parse-loop12 [75] 4.9% curried [86] 2.4% loop! [52] 2.3% ??? [85] 0.6% for-loop [87] 0.6% ??? [88] 0.4% ??? [93] 0.2% ----------------------------------------------------------------------- ??? [79] 100.0% [82] 1008(5.4%) 1008(5.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- map [78] 100.0% [83] 220(1.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [89]100.0% ----------------------------------------------------------------------- taylor-quotient [80] 100.0% [84] 200(1.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [58] 100.0% ----------------------------------------------------------------------- for-loop [74] 3.0% loop [81] 97.0% [85] 6606(35.1%) 470(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [90] 77.6% real->bigfloat [91] 11.8% ??? [99] 3.4% ----------------------------------------------------------------------- loop [81] 49.1% for-loop [48] 50.9% [86] 432(2.3%) 432(2.3%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- loop [81] 100.0% [87] 422(2.2%) 222(1.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [92] 47.4% ----------------------------------------------------------------------- map [78] 33.3% loop [81] 66.7% [88] 232(1.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [58] 100.0% ----------------------------------------------------------------------- make-multiplication-node [83] 100.0% [89] 220(1.2%) 220(1.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- ??? [85] 100.0% [90] 5128(27.2%) 200(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 91.6% ...higher-order.rkt:373:33 [94] 4.5% ----------------------------------------------------------------------- ??? [85] 100.0% [91] 782(4.2%) 544(2.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 30.4% ----------------------------------------------------------------------- for-loop [87] 100.0% [92] 200(1.1%) 200(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ----------------------------------------------------------------------- loop [81] 4.7% ??? [90] 95.3% [93] 4930(26.2%) 1364(7.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bftan [95] 37.2% bfsub [96] 30.1% ??? [100] 5.1% ----------------------------------------------------------------------- ??? [90] 100.0% [94] 230(1.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [95] 1834(9.7%) 1400(7.4%) bftan ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 23.7% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 1482(7.9%) 956(5.1%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 35.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [94] 100.0% [97] 230(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 100.0% ----------------------------------------------------------------------- real->bigfloat [91] 19.9% bftan [95] 36.2% bfsub [96] 43.9% [98] 1198(6.4%) 1198(6.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [85] 49.6% ??? [97] 50.4% [99] 456(2.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ----------------------------------------------------------------------- ??? [93] 35.4% ??? [99] 64.6% [100] 706(3.8%) 476(2.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 32.6% ----------------------------------------------------------------------- ??? [100] 100.0% [101] 230(1.2%) 230(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 -----------------------------------------------------------------------