Profiling results ----------------- Total cpu time observed: 157552ms (out of 159520ms) Number of samples taken: 673 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 187 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [54] 100.0% [1] 147528(93.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% -------------------------------------------------------------------------- ??? [54] 100.0% [2] 78252(49.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [14] 60.4% finalize-table! [16] 33.4% loop [66] 3.1% get-final-combination [19] 2.6% setup-prog [22] 0.5% -------------------------------------------------------------------------- simplify-alt [34] 0.9% loop [122] 4.0% ??? [54] 95.1% [3] 45774(29.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [15] 51.5% iterate-egraph!5 [26] 29.9% for-loop [17] 15.8% loop [29] 2.3% mk-egraph [23] 0.4% -------------------------------------------------------------------------- post-process [28] 2.6% loop [122] 97.4% [4] 18172(11.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [15] 98.9% debug-print [144] 1.1% -------------------------------------------------------------------------- loop [5] 28.9% location-do [77] 71.1% [5] 2432(1.5%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [18] 54.5% loop [5] 28.9% location-do [77] 16.5% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [6] 1716(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [7] 884(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [8] 862(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [113] 76.8% for-loop [24] 23.2% -------------------------------------------------------------------------- ??? [106] 33.3% f66 [137] 66.7% [9] 600(0.4%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [128] 100.0% -------------------------------------------------------------------------- f66 [137] 100.0% [10] 402(0.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [128] 100.0% -------------------------------------------------------------------------- f66 [137] 100.0% [11] 202(0.1%) 0(0.0%) taylor-log ...ock/herbie/src/core/taylor.rkt:476:0 simplify [128] 100.0% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [12] 200(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [25] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.9% [13] 147730(93.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [54] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 47296(30.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [27] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [4] 43.3% simplify [3] 56.7% [15] 41546(26.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [26] 87.8% loop [29] 12.2% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 26102(16.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [17] 7230(4.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [26] 97.0% loop [29] 3.0% -------------------------------------------------------------------------- loop [5] 29.4% location-do [77] 70.6% [18] 5532(3.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [30] 60.6% f66 [137] 29.1% taylor [33] 6.7% debug7 [149] 3.6% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [19] 2046(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [31] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [20] 1716(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [113] 57.8% ??? [32] 42.2% -------------------------------------------------------------------------- ??? [7] 100.0% [21] 884(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [113] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [22] 396(0.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [34] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [23] 202(0.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [35] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [24] 200(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [113] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [25] 200(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [36] 100.0% -------------------------------------------------------------------------- for-loop [17] 12.3% simplify [3] 24.0% simplify-expr [15] 63.8% [26] 57174(36.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 95.5% map-enodes [41] 4.5% -------------------------------------------------------------------------- for-loop [14] 100.0% [27] 47296(30.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [38] 92.5% finalize-iter! [43] 3.3% gen-series! [44] 1.9% localize-error [42] 1.4% choose-best-alt! [45] 0.9% -------------------------------------------------------------------------- finalize-table! [16] 100.0% [28] 26102(16.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [122] 72.6% for-loop [40] 18.6% ??? [51] 4.4% localize-error [42] 2.5% completely-simplify-alt [4] 1.8% -------------------------------------------------------------------------- for-loop [17] 3.5% simplify [3] 16.8% simplify-expr [15] 79.8% [29] 6372(4.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [39] 100.0% -------------------------------------------------------------------------- approximate9 [18] 100.0% [30] 3354(2.1%) 242(0.2%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [113] 92.8% -------------------------------------------------------------------------- get-final-combination [19] 100.0% [31] 2046(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [122] 90.2% argmins [97] 9.8% -------------------------------------------------------------------------- for-loop [20] 100.0% [32] 844(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [113] 100.0% -------------------------------------------------------------------------- f66 [137] 35.3% approximate9 [18] 64.7% [33] 572(0.4%) 370(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [122] 35.3% -------------------------------------------------------------------------- setup-prog [22] 100.0% [34] 396(0.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- mk-egraph [23] 9.1% expr->enode [35] 90.9% [35] 202(0.1%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [35] 90.9% mk-enode! [93] 9.1% -------------------------------------------------------------------------- for-loop [25] 100.0% [36] 200(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [113] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [37] 54610(34.7%) 2534(1.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [47] 63.8% loop [48] 30.0% apply-match [55] 1.1% loop [61] 0.4% -------------------------------------------------------------------------- run-iter! [27] 100.0% [38] 43730(27.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% -------------------------------------------------------------------------- loop [29] 100.0% [39] 6372(4.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 100.0% -------------------------------------------------------------------------- post-process [28] 100.0% [40] 4862(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [50] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [41] 2564(1.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [122] 91.3% hash-keys [53] 8.7% -------------------------------------------------------------------------- post-process [28] 25.2% run-iter! [27] 25.4% loop [122] 49.5% [42] 2560(1.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [113] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [43] 1580(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [51] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [44] 912(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [52] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [45] 424(0.3%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [51] 100.0% -------------------------------------------------------------------------- simplify! [38] 100.0% [46] 43730(27.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [54] 99.5% debug-print [144] 0.5% -------------------------------------------------------------------------- for-loop [47] 48.7% one-iter [37] 51.3% [47] 34868(22.1%) 9620(6.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [47] 48.7% match-e [67] 35.9% ??? [103] 0.3% -------------------------------------------------------------------------- one-iter [37] 100.0% [48] 16386(10.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [55] 100.0% -------------------------------------------------------------------------- pass [39] 100.0% [49] 6372(4.0%) 666(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [57] 49.8% for-loop [59] 19.9% loop [60] 13.3% loop [61] 3.4% make-sequence [64] 3.1% -------------------------------------------------------------------------- f66 [137] 5.2% for-loop [40] 94.8% [50] 4862(3.1%) 402(0.3%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [56] 86.6% loop [122] 8.3% f66 [137] 2.1% -------------------------------------------------------------------------- choose-best-alt! [45] 13.4% post-process [28] 36.6% finalize-iter! [43] 50.0% [51] 3162(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [58] 80.3% atab-pick-alt8 [62] 13.4% atab-add-altns [65] 6.3% -------------------------------------------------------------------------- gen-series! [44] 100.0% [52] 912(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [56] 100.0% -------------------------------------------------------------------------- map-enodes [41] 100.0% [53] 222(0.1%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [63] 100.0% -------------------------------------------------------------------------- for-loop [46] 9.8% run [13] 44.2% [54] 151790(96.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.0% loop [66] 24.5% run-improve58 [2] 21.6% simplify [3] 9.8% -------------------------------------------------------------------------- one-iter [37] 3.5% loop [48] 96.5% [55] 16988(10.8%) 598(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [69] 28.4% match-e [67] 27.5% loop! [129] 13.7% update-leader! [78] 10.3% for-loop [72] 9.1% mk-enode! [93] 3.8% substitute-e [81] 3.7% -------------------------------------------------------------------------- loop [122] 7.0% for-loop [52] 15.8% append-map [50] 77.2% [56] 5774(3.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [68] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [57] 3176(2.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [70] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [58] 2538(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [71] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [59] 1266(0.8%) 1266(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [49] 100.0% [60] 846(0.5%) 200(0.1%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [70] 76.4% -------------------------------------------------------------------------- for-loop [49] 49.8% one-iter [37] 50.2% [61] 438(0.3%) 438(0.3%) loop ...ket/collects/racket/private/list.rkt:264:4 -------------------------------------------------------------------------- ??? [51] 100.0% [62] 424(0.3%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [73] 100.0% -------------------------------------------------------------------------- loop [63] 50.0% hash-keys [53] 50.0% [63] 222(0.1%) 222(0.1%) loop ...acket/collects/racket/private/hash.rkt:3:4 loop [63] 50.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [64] 200(0.1%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [74] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [65] 200(0.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [71] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 3.2% ??? [54] 96.8% [66] 75950(48.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [75] 46.9% make-exacts* [88] 32.4% loop [89] 20.7% -------------------------------------------------------------------------- for-loop [90] 10.1% apply-match [55] 11.5% for-loop [47] 78.4% [67] 29704(18.9%) 16814(10.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [76] 30.8% for-loop [90] 7.7% list-cartesian-product [92] 4.7% loop [122] 1.1% custom-in-set [84] 0.7% curry* [96] 0.7% -------------------------------------------------------------------------- taylor-alt [56] 100.0% [68] 5774(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [77] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [69] 5.3% apply-match [55] 94.7% [69] 4822(3.1%) 220(0.1%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [78] 68.0% enode-merge! [82] 12.9% merge-egraph-nodes! [69] 5.3% for-loop [85] 5.0% for-loop [86] 4.2% -------------------------------------------------------------------------- loop [60] 16.9% argmin [57] 83.1% [70] 3822(2.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [79] 100.0% -------------------------------------------------------------------------- atab-add-altns [65] 7.3% for-loop [58] 92.7% [71] 2738(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [80] 88.6% loop [122] 7.3% override-at-pnts [87] 4.1% -------------------------------------------------------------------------- apply-match [55] 100.0% [72] 1538(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [129] 70.5% substitute-e [81] 15.5% mk-enode! [93] 14.0% -------------------------------------------------------------------------- atab-pick-alt8 [62] 100.0% [73] 424(0.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [83] 100.0% -------------------------------------------------------------------------- make-sequence [64] 100.0% [74] 200(0.1%) 0(0.0%) ??? ...acket/collects/racket/private/for.rkt:428:7 custom-in-set [84] 100.0% -------------------------------------------------------------------------- loop [66] 100.0% [75] 35602(22.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [88] 48.4% loop [89] 37.7% eval-prog [109] 13.9% -------------------------------------------------------------------------- match-e [67] 100.0% [76] 10292(6.5%) 4476(2.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [90] 31.1% list-cartesian-product [92] 16.1% loop [122] 7.6% foldl [132] 4.1% curry* [96] 2.0% -------------------------------------------------------------------------- loop [5] 2.7% for-loop [68] 26.5% location-do [77] 70.8% [77] 5774(3.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [77] 70.8% approximate9 [18] 18.0% loop [5] 10.3% simplify [128] 0.8% -------------------------------------------------------------------------- apply-match [55] 33.1% merge-egraph-nodes! [69] 66.9% [78] 5280(3.4%) 816(0.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [91] 80.0% mutable-set [98] 4.6% -------------------------------------------------------------------------- expression-cost [70] 100.0% [79] 3822(2.4%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [113] 100.0% -------------------------------------------------------------------------- atab-add-altn [71] 100.0% [80] 2426(1.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [107] 72.7% for-loop [94] 27.3% -------------------------------------------------------------------------- for-loop [72] 27.6% apply-match [55] 72.4% [81] 862(0.5%) 202(0.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [93] 76.6% -------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [82] 624(0.4%) 220(0.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [95] 64.7% -------------------------------------------------------------------------- ??? [73] 100.0% [83] 424(0.3%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [99] 52.4% argmins [97] 47.6% -------------------------------------------------------------------------- ??? [74] 47.8% match-e [67] 52.2% [84] 418(0.3%) 418(0.3%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [85] 242(0.2%) 242(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [86] 202(0.1%) 202(0.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 -------------------------------------------------------------------------- atab-add-altn [71] 100.0% [87] 112(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [107] 100.0% -------------------------------------------------------------------------- loop [75] 41.2% loop [66] 58.8% [88] 41856(26.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [100] 52.5% loop [122] 38.7% eval-prog [109] 8.7% -------------------------------------------------------------------------- loop [75] 46.0% loop [66] 54.0% [89] 29144(18.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [100] 100.0% -------------------------------------------------------------------------- match-e [67] 46.7% for-loop [76] 53.3% [90] 7648(4.9%) 1062(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [67] 75.9% ??? [103] 10.2% -------------------------------------------------------------------------- update-leader! [78] 100.0% [91] 4222(2.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [101] 100.0% -------------------------------------------------------------------------- list-cartesian-product [92] 12.9% match-e [67] 36.8% for-loop [76] 50.3% [92] 3496(2.2%) 3496(2.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [92] 12.9% -------------------------------------------------------------------------- expr->enode [35] 11.7% for-loop [72] 12.5% apply-match [55] 37.6% substitute-e [81] 38.2% [93] 1728(1.1%) 1728(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 -------------------------------------------------------------------------- best-and-tied-at-points [80] 100.0% [94] 662(0.4%) 220(0.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [115] 66.8% -------------------------------------------------------------------------- enode-merge! [82] 100.0% [95] 404(0.3%) 404(0.3%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 -------------------------------------------------------------------------- match-e [67] 50.0% for-loop [76] 50.0% [96] 404(0.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [104] 100.0% -------------------------------------------------------------------------- extract-alt [31] 49.8% best-alt [83] 50.2% [97] 402(0.3%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [102] 100.0% -------------------------------------------------------------------------- update-leader! [78] 100.0% [98] 242(0.2%) 242(0.2%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------- best-alt [83] 100.0% [99] 222(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [102] 100.0% -------------------------------------------------------------------------- ??? [106] 0.6% parse-loop12 [119] 3.0% f66 [137] 6.9% make-exacts* [88] 38.5% loop [89] 51.0% [100] 57116(36.3%) 624(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [122] 89.0% ??? [106] 3.6% f66 [137] 2.7% parse-loop12 [119] 1.8% ??? [127] 0.7% ->flonum [131] 0.6% simplify* [147] 0.4% make-multiplication-node [125] 0.3% ??? [146] 0.2% loop [126] 0.1% -------------------------------------------------------------------------- for-loop [91] 100.0% [101] 4222(2.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [105] 100.0% -------------------------------------------------------------------------- loop [99] 15.3% argmins [97] 27.8% f66 [137] 56.9% [102] 1448(0.9%) 202(0.1%) composed ...ollects/racket/private/list.rkt:321:16 errors [107] 43.1% f66 [137] 43.0% -------------------------------------------------------------------------- for-loop [47] 20.0% for-loop [90] 80.0% [103] 1102(0.7%) 642(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [108] 41.7% -------------------------------------------------------------------------- curry* [96] 100.0% [104] 404(0.3%) 404(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- for-loop [101] 100.0% [105] 4222(2.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [110] 100.0% -------------------------------------------------------------------------- map [100] 49.3% loop [122] 50.7% [106] 2550(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [113] 71.6% map [100] 11.0% f66 [137] 7.8% taylor-exp [9] 7.8% curried [139] 1.7% -------------------------------------------------------------------------- override-at-pnts [87] 4.5% composed [102] 25.0% best-and-tied-at-points [80] 70.6% [107] 2500(1.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [111] 72.5% eval-prog [109] 23.0% ??? [112] 4.5% -------------------------------------------------------------------------- ??? [103] 100.0% [108] 460(0.3%) 460(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- errors [107] 6.3% make-exacts* [88] 39.8% loop [75] 53.9% [109] 9184(5.8%) 420(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [113] 95.4% -------------------------------------------------------------------------- hash-update! [105] 100.0% [110] 4222(2.7%) 200(0.1%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [114] 95.3% -------------------------------------------------------------------------- errors [107] 100.0% [111] 1812(1.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [127] 77.4% ulp-difference [116] 11.6% ??? [115] 11.0% -------------------------------------------------------------------------- errors [107] 100.0% [112] 112(0.1%) 112(0.1%) ??? ...cket/collects/racket/private/for.rkt:1145:9 -------------------------------------------------------------------------- for-loop [24] 0.2% for-loop [36] 0.3% ??? [8] 0.8% for-loop [21] 0.9% ??? [32] 1.0% for-loop [20] 1.3% ??? [120] 2.9% ??? [121] 3.2% localize-error [42] 5.6% loop [30] 6.5% compile [79] 7.3% ??? [106] 8.4% eval-prog [109] 13.2% ??? [117] 13.6% loop [122] 34.8% [113] 18258(11.6%) 3978(2.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [117] 48.4% parse-loop12 [119] 13.7% bigfloat-hash [118] 12.4% simplify [128] 4.8% ??? [121] 3.2% ??? [120] 2.9% ??? [6] 2.3% f66 [137] 2.1% ??? [8] 1.0% ??? [7] 0.9% ??? [12] 0.3% -------------------------------------------------------------------------- ??? [110] 100.0% [114] 4022(2.6%) 3800(2.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [145] 5.5% -------------------------------------------------------------------------- for-loop [111] 31.2% for-loop [94] 68.8% [115] 642(0.4%) 642(0.4%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------- for-loop [111] 100.0% [116] 210(0.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [157] 100.0% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [117] 11464(7.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [122] 68.4% hash-ref! [113] 31.6% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [118] 8608(5.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [123] 64.0% sig+exp->bigfloat [124] 36.0% -------------------------------------------------------------------------- f66 [137] 1.4% parse-loop12 [119] 4.2% simplify [128] 9.8% map [100] 31.2% hash-ref! [113] 53.4% [119] 4796(3.0%) 604(0.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [122] 42.0% f66 [137] 22.4% map [100] 16.3% make-multiplication-node [125] 4.2% parse-loop12 [119] 4.2% ...higher-order.rkt:373:33 [152] 1.2% loop [126] 0.7% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [120] 2120(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [113] 100.0% -------------------------------------------------------------------------- hash-ref! [113] 100.0% [121] 1958(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [113] 100.0% -------------------------------------------------------------------------- atab-add-altn [71] 0.1% make-exacts* [88] 0.1% taylor [33] 0.2% map-enodes [41] 0.3% append-map [50] 0.4% for-loop [76] 0.4% match-e [67] 0.4% loop! [129] 0.7% f66 [137] 0.8% extract-alt [31] 1.0% parse-loop12 [119] 1.2% map [100] 1.3% post-process [28] 1.9% ??? [117] 7.2% loop [122] 83.8% [122] 103528(65.7%) 1266(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [122] 83.8% hash-ref! [113] 7.2% completely-simplify-alt [4] 1.7% ??? [127] 1.5% simplify [3] 1.0% simplify [128] 1.0% ??? [106] 0.8% loop! [129] 0.6% curried [139] 0.4% f66 [137] 0.4% taylor-alt [56] 0.4% for-loop [130] 0.3% localize-error [42] 0.2% loop [135] 0.1% foldl [132] 0.0% ...higher-order.rkt:373:33 [152] 0.0% ??? [171] 0.0% bf* [164] 0.0% ->flonum [131] 0.0% -------------------------------------------------------------------------- bigfloat-hash [118] 100.0% [123] 5508(3.5%) 5162(3.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [134] 6.3% -------------------------------------------------------------------------- bigfloat-hash [118] 100.0% [124] 3100(2.0%) 2862(1.8%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [178] 7.7% -------------------------------------------------------------------------- map [100] 49.9% parse-loop12 [119] 50.1% [125] 806(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [133]100.0% -------------------------------------------------------------------------- parse-loop12 [119] 0.6% map [100] 0.9% loop [126] 98.5% [126] 442(0.3%) 222(0.1%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [126] 98.5% ->flonum [131] 0.6% -------------------------------------------------------------------------- map [100] 0.6% for-loop [111] 2.0% loop [122] 97.3% [127] 68542(43.5%) 1428(0.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [136] 91.8% real->bigfloat [138] 5.1% ??? [175] 1.0% -------------------------------------------------------------------------- taylor-log [11] 4.1% location-do [77] 4.9% taylor-quotient [10] 8.1% taylor-exp [9] 12.1% loop [122] 21.1% hash-ref! [113] 49.7% [128] 4962(3.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f66 [137] 65.9% parse-loop12 [119] 16.2% simplify* [147] 4.9% debug-print [144] 4.9% debug7 [149] 4.1% ??? [146] 4.0% -------------------------------------------------------------------------- for-loop [72] 22.0% loop [122] 31.2% apply-match [55] 46.8% [129] 3418(2.2%) 864(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [122] 43.6% custom-set-union [141] 22.0% set [140] 15.9% update-en-expr [145] 5.9% -------------------------------------------------------------------------- loop [122] 100.0% [130] 2342(1.5%) 620(0.4%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [143] 29.2% setfindf [148] 18.0% curried [139] 17.9% compose [151] 8.4% -------------------------------------------------------------------------- loop [126] 20.8% loop [122] 22.3% map [100] 56.8% [131] 1056(0.7%) 236(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [177] 77.7% -------------------------------------------------------------------------- for-loop [76] 46.7% loop [122] 53.3% [132] 904(0.6%) 200(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [142] 77.9% -------------------------------------------------------------------------- make-multiplication-node [125] 100.0% [133] 806(0.5%) 604(0.4%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [150] 25.1% -------------------------------------------------------------------------- bfcanonicalize [123] 100.0% [134] 346(0.2%) 346(0.2%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 -------------------------------------------------------------------------- loop [122] 2.0% loop [135] 98.0% [135] 200(0.1%) 200(0.1%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [135] 98.0% -------------------------------------------------------------------------- ??? [127] 100.0% [136] 62900(39.9%) 2208(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [171] 38.1% bf* [164] 21.6% ...higher-order.rkt:373:33 [152] 16.3% bffma [153] 13.8% ...ow-val-first.rkt:357:18 [165] 4.0% bfcube [154] 1.3% ??? [157] 0.6% -------------------------------------------------------------------------- ??? [106] 1.0% append-map [50] 1.2% composed [102] 2.7% loop [122] 5.2% parse-loop12 [119] 6.8% approximate9 [18] 8.4% hash-ref! [113] 10.6% f66 [137] 13.4% map [100] 23.1% simplify [128] 26.1% [137] 4922(3.1%) 660(0.4%) f66 ...t/collects/racket/match/compiler.rkt:499:40 map [100] 53.1% f66 [137] 13.4% loop [122] 9.0% composed [102] 6.8% append-map [50] 2.8% taylor-exp [9] 2.0% taylor-quotient [10] 1.6% combine-mterms [160] 1.6% parse-loop12 [119] 1.4% taylor [33] 0.8% taylor-log [11] 0.5% -------------------------------------------------------------------------- ??? [127] 100.0% [138] 3514(2.2%) 1734(1.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [178] 50.7% -------------------------------------------------------------------------- ??? [106] 20.8% for-loop [130] 39.4% loop [122] 39.8% [139] 1066(0.7%) 1066(0.7%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- loop! [129] 100.0% [140] 864(0.5%) 864(0.5%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- loop! [129] 100.0% [141] 862(0.5%) 222(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [155] 74.2% -------------------------------------------------------------------------- foldl [132] 100.0% [142] 704(0.4%) 704(0.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- for-loop [130] 100.0% [143] 684(0.4%) 226(0.1%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 parse-app [159] 34.8% expression-induct31 [161] 32.2% -------------------------------------------------------------------------- for-loop [46] 31.0% completely-simplify-alt [4] 31.0% simplify [128] 37.9% [144] 638(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [156] 100.0% -------------------------------------------------------------------------- for-loop [114] 35.4% loop! [129] 64.6% [145] 628(0.4%) 628(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- simplify [128] 36.5% map [100] 63.5% [146] 548(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [158] 100.0% -------------------------------------------------------------------------- map [100] 45.2% simplify [128] 54.8% [147] 442(0.3%) 442(0.3%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 -------------------------------------------------------------------------- for-loop [130] 100.0% [148] 422(0.3%) 222(0.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [162] 47.4% -------------------------------------------------------------------------- approximate9 [18] 49.8% simplify [128] 50.2% [149] 402(0.3%) 202(0.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [163] 49.8% -------------------------------------------------------------------------- make-multiplication-subnode [133]100.0% [150] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 -------------------------------------------------------------------------- for-loop [130] 100.0% [151] 196(0.1%) 196(0.1%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- loop [122] 1.9% parse-loop12 [119] 2.1% ??? [136] 96.0% [152] 10674(6.8%) 222(0.1%) ...higher-order.rkt:373:33 (unknown source) ??? [172] 85.8% ??? [175] 12.1% -------------------------------------------------------------------------- ??? [136] 100.0% [153] 8700(5.5%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [164] 75.6% ...ow-val-first.rkt:357:18 [165] 24.4% -------------------------------------------------------------------------- ??? [136] 100.0% [154] 848(0.5%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 ...ow-val-first.rkt:357:18 [165] 54.0% bf* [164] 46.0% -------------------------------------------------------------------------- custom-set-union [141] 100.0% [155] 640(0.4%) 438(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [169] 31.6% -------------------------------------------------------------------------- debug-print [144] 100.0% [156] 638(0.4%) 638(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- ulp-difference [116] 37.4% ??? [136] 62.6% [157] 562(0.4%) 562(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- ??? [146] 100.0% [158] 548(0.3%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [166] 100.0% -------------------------------------------------------------------------- eval-const-expr [143] 49.8% [159] 478(0.3%) 478(0.3%) parse-app .../collects/racket/private/kw.rkt:903:2 -------------------------------------------------------------------------- f66 [137] 100.0% [160] 230(0.1%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [167] 100.0% -------------------------------------------------------------------------- eval-const-expr [143] 100.0% [161] 220(0.1%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [168] 100.0% -------------------------------------------------------------------------- setfindf [148] 100.0% [162] 200(0.1%) 200(0.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- debug7 [149] 100.0% [163] 200(0.1%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [170] 100.0% -------------------------------------------------------------------------- loop [122] 1.2% bfcube [154] 1.9% bffma [153] 31.6% ??? [136] 65.4% [164] 20820(13.2%) 714(0.5%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [171] 96.6% -------------------------------------------------------------------------- bfcube [154] 9.0% bffma [153] 41.6% ??? [136] 49.4% [165] 5104(3.2%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [172] 100.0% -------------------------------------------------------------------------- for-loop [158] 100.0% [166] 548(0.3%) 548(0.3%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------- combine-mterms [160] 100.0% [167] 230(0.1%) 230(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 -------------------------------------------------------------------------- inductor [168] 50.0% expression-induct31 [161] 50.0% [168] 220(0.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [168] 50.0% ...e/case-arrow.rkt:150:50 [173] 50.0% -------------------------------------------------------------------------- for-loop [155] 100.0% [169] 202(0.1%) 202(0.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- return/no-unsupplied [163] 100.0% [170] 200(0.1%) 200(0.1%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- loop [122] 0.9% bf* [164] 45.2% ??? [136] 53.9% [171] 44510(28.3%) 6684(4.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [174] 67.8% ??? [177] 15.6% bflog [176] 1.5% -------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [165] 35.8% ...higher-order.rkt:373:33 [152] 64.2% [172] 14262(9.1%) 1742(1.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [175] 87.8% -------------------------------------------------------------------------- inductor [168] 100.0% [173] 220(0.1%) 220(0.1%) ...e/case-arrow.rkt:150:50 (unknown source) -------------------------------------------------------------------------- ??? [171] 100.0% [174] 30184(19.2%) 23760(15.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [178] 21.3% -------------------------------------------------------------------------- ??? [127] 4.8% ...higher-order.rkt:373:33 [152] 8.9% ??? [172] 86.3% [175] 14514(9.2%) 430(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [177] 97.0% -------------------------------------------------------------------------- ??? [171] 100.0% [176] 688(0.4%) 202(0.1%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [178] 70.6% -------------------------------------------------------------------------- ->flonum [131] 3.8% ??? [171] 31.8% ??? [175] 64.4% [177] 21858(13.9%) 8434(5.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [179] 57.8% ??? [180] 3.7% -------------------------------------------------------------------------- sig+exp->bigfloat [124] 2.7% bflog [176] 5.4% real->bigfloat [138] 19.9% bfmul [174] 72.0% [178] 8928(5.7%) 8928(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [177] 100.0% [179] 12626(8.0%) 6660(4.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [181] 47.3% -------------------------------------------------------------------------- ??? [177] 100.0% [180] 798(0.5%) 558(0.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [182] 30.1% -------------------------------------------------------------------------- ??? [179] 100.0% [181] 5966(3.8%) 5966(3.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [180] 100.0% [182] 240(0.2%) 240(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------