Profiling results ----------------- Total cpu time observed: 115282ms (out of 116360ms) Number of samples taken: 484 (once every 238ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 212 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [62] 100.0% [1] 109906(95.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [16] 100.0% -------------------------------------------------------------------------- ??? [62] 100.0% [2] 62110(53.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [17] 51.0% get-final-combination [18] 35.4% finalize-table! [20] 12.2% loop [76] 1.4% -------------------------------------------------------------------------- loop [140] 3.8% ??? [62] 96.2% [3] 27240(23.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [19] 59.3% for-loop [21] 22.3% iterate-egraph!5 [30] 18.4% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [4] 21736(18.9%) 402(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [140] 97.2% hash-ref! [149] 0.9% -------------------------------------------------------------------------- copying-mergesort [93] 100.0% [5] 6022(5.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [129] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [6] 5738(5.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [34] 72.7% hash-ref! [149] 27.3% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [7] 5076(4.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [8] 4856(4.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [23] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [9] 3728(3.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [24] 100.0% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [10] 2968(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [25] 92.5% ??? [26] 7.5% -------------------------------------------------------------------------- loop [140] 100.0% [11] 1668(1.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [19] 100.0% -------------------------------------------------------------------------- f94 [173] 100.0% [12] 822(0.7%) 200(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [38] 51.3% loop [140] 24.3% -------------------------------------------------------------------------- f94 [173] 100.0% [13] 664(0.6%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [27] 69.6% simplify [33] 30.4% -------------------------------------------------------------------------- map [128] 49.8% f94 [173] 50.2% [14] 482(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [27] 50.2% simplify [33] 49.8% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [15] 420(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [28] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [16] 109906(95.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [62] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 31698(27.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [29] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 21982(19.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [31] 95.3% extract-alt [37] 4.7% -------------------------------------------------------------------------- completely-simplify-alt [11] 9.4% simplify [3] 90.6% [19] 17818(15.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [30] 88.6% loop [36] 9.2% mk-egraph [40] 1.1% debug7 [38] 1.1% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 7566(6.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [21] 6078(5.3%) 244(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [30] 92.4% loop [36] 3.6% -------------------------------------------------------------------------- ??? [7] 100.0% [22] 5076(4.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [34] 55.6% hash-ref! [149] 39.6% simplify [33] 4.8% -------------------------------------------------------------------------- ??? [8] 100.0% [23] 4856(4.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [149] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [24] 3728(3.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [149] 94.6% simplify [33] 5.4% -------------------------------------------------------------------------- ??? [10] 100.0% [25] 2746(2.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [35] 100.0% -------------------------------------------------------------------------- ??? [10] 26.1% loop [140] 73.9% [26] 852(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [149] 59.2% curried [39] 26.1% map [128] 14.7% -------------------------------------------------------------------------- taylor-sqrt [14] 34.4% taylor-invert [13] 65.6% [27] 704(0.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [149] 65.6% simplify [33] 34.4% -------------------------------------------------------------------------- ??? [15] 100.0% [28] 420(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [160] 100.0% -------------------------------------------------------------------------- for-loop [17] 100.0% [29] 31698(27.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [41] 83.4% gen-series! [45] 9.7% finalize-iter! [48] 3.6% localize-error [49] 1.3% gen-rewrites! [50] 1.3% choose-best-alt! [51] 0.8% -------------------------------------------------------------------------- simplify [3] 19.0% for-loop [21] 21.3% simplify-expr [19] 59.8% [30] 26416(22.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [42] 92.7% map-enodes [46] 7.3% -------------------------------------------------------------------------- get-final-combination [18] 100.0% [31] 20950(18.2%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [43] 95.1% ??? [58] 4.9% -------------------------------------------------------------------------- finalize-table! [20] 100.0% [32] 7566(6.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [44] 64.2% loop [140] 27.4% ??? [58] 5.5% localize-error [49] 2.9% -------------------------------------------------------------------------- loop [140] 3.1% for-loop [179] 3.1% taylor-invert [13] 3.1% for-loop [24] 3.1% taylor-sqrt [14] 3.7% first-nonzero-exp [27] 3.8% for-loop [22] 3.8% hash-ref! [149] 76.3% [33] 6442(5.6%) 202(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [173] 67.9% parse-loop12 [160] 15.9% debug-print [71] 6.2% simplify-node [143] 3.8% debug7 [38] 3.1% -------------------------------------------------------------------------- ??? [6] 43.9% for-loop [22] 56.1% [34] 4594(4.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [149] 100.0% -------------------------------------------------------------------------- for-loop [25] 100.0% [35] 2746(2.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [149] 100.0% -------------------------------------------------------------------------- for-loop [21] 11.9% simplify-expr [19] 88.1% [36] 1852(1.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [47] 100.0% -------------------------------------------------------------------------- get-final-combination [18] 100.0% [37] 1032(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [140] 100.0% -------------------------------------------------------------------------- simplify-expr [19] 24.0% simplify [33] 24.4% taylor [12] 51.6% [38] 818(0.7%) 200(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [58] 75.6% -------------------------------------------------------------------------- ??? [26] 100.0% [39] 222(0.2%) 222(0.2%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- simplify-expr [19] 100.0% [40] 200(0.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [52] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [41] 26428(22.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [53] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [42] 24490(21.2%) 864(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [55] 60.7% loop [56] 30.7% apply-match [64] 3.5% loop [118] 1.6% -------------------------------------------------------------------------- split-table [31] 100.0% [43] 19926(17.3%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [54] 94.8% loop [140] 5.2% -------------------------------------------------------------------------- post-process [32] 100.0% [44] 4856(4.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [57] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [45] 3070(2.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [59] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [46] 1926(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [140] 88.6% for-loop [151] 11.4% -------------------------------------------------------------------------- loop [36] 100.0% [47] 1852(1.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [60] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [48] 1142(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [58] 100.0% -------------------------------------------------------------------------- post-process [32] 21.2% loop [140] 38.9% run-iter! [29] 39.9% [49] 1038(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [149] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [50] 402(0.3%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [61] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [51] 242(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [58] 100.0% -------------------------------------------------------------------------- mk-egraph [40] 33.3% expr->enode [52] 66.7% [52] 200(0.2%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [52] 66.7% mk-enode! [98] 33.3% -------------------------------------------------------------------------- simplify! [41] 100.0% [53] 26428(22.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [62] 99.2% debug-print [71] 0.8% -------------------------------------------------------------------------- loop [140] 5.2% infer-splitpoints4 [43] 94.8% [54] 19926(17.3%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [63] 87.6% pick-errors [66] 9.0% err-lsts->split-indices [72] 2.3% loop [140] 1.1% -------------------------------------------------------------------------- for-loop [55] 48.5% one-iter [42] 51.5% [55] 14860(12.9%) 3700(3.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [55] 48.5% match-e [78] 36.8% ??? [133] 0.7% -------------------------------------------------------------------------- one-iter [42] 100.0% [56] 7520(6.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [64] 100.0% -------------------------------------------------------------------------- for-loop [44] 100.0% [57] 4856(4.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [65] 59.6% loop [140] 40.4% -------------------------------------------------------------------------- choose-best-alt! [51] 7.0% post-process [32] 12.1% debug7 [38] 17.9% split-table [31] 29.7% finalize-iter! [48] 33.2% [58] 3444(3.0%) 422(0.4%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [67] 38.3% split-atab [69] 29.7% atab-pick-alt8 [74] 7.0% atab-add-altns [75] 7.0% ??? [196] 5.7% -------------------------------------------------------------------------- gen-series! [45] 100.0% [59] 3070(2.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [65] 100.0% -------------------------------------------------------------------------- pass [47] 100.0% [60] 1852(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [68] 56.6% argmin [70] 43.4% -------------------------------------------------------------------------- gen-rewrites! [50] 100.0% [61] 402(0.3%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [73] 100.0% -------------------------------------------------------------------------- for-loop [53] 8.0% run [16] 44.4% [62] 114826(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.4% run-improve58 [2] 24.5% loop [76] 23.1% simplify [3] 8.0% -------------------------------------------------------------------------- option-on-expr [54] 100.0% [63] 17460(15.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [77] 100.0% -------------------------------------------------------------------------- one-iter [42] 10.1% loop [56] 89.9% [64] 8366(7.3%) 214(0.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [96] 28.0% match-e [78] 23.0% update-leader! [115] 13.2% for-loop [83] 10.8% substitute-e [84] 9.5% loop! [153] 7.7% reduce-to-single! [89] 2.7% mk-enode! [98] 2.6% -------------------------------------------------------------------------- loop [140] 24.8% append-map [57] 36.5% for-loop [59] 38.7% [65] 7926(6.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [79] 100.0% -------------------------------------------------------------------------- option-on-expr [54] 100.0% [66] 1784(1.5%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [80] 100.0% -------------------------------------------------------------------------- ??? [58] 100.0% [67] 1320(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [81] 100.0% -------------------------------------------------------------------------- for-loop [60] 100.0% [68] 1048(0.9%) 1048(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- ??? [58] 100.0% [69] 1024(0.9%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [82] 100.0% -------------------------------------------------------------------------- for-loop [60] 100.0% [70] 804(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [85] 75.1% for-loop [91] 24.9% -------------------------------------------------------------------------- for-loop [53] 35.4% simplify [33] 64.6% [71] 622(0.5%) 402(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [90] 35.4% -------------------------------------------------------------------------- option-on-expr [54] 100.0% [72] 462(0.4%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [86] 100.0% -------------------------------------------------------------------------- for-loop [61] 100.0% [73] 402(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [87] 100.0% -------------------------------------------------------------------------- ??? [58] 100.0% [74] 242(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [88] 100.0% -------------------------------------------------------------------------- ??? [58] 100.0% [75] 240(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [81] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 1.6% ??? [62] 98.4% [76] 53580(46.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [92] 56.1% make-exacts* [110] 30.8% loop [111] 12.7% for-loop [106] 0.4% -------------------------------------------------------------------------- sort-context-on-expr [63] 100.0% [77] 17460(15.1%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [93] 76.4% loop [112] 23.6% -------------------------------------------------------------------------- apply-match [64] 11.6% for-loop [114] 11.7% for-loop [55] 76.7% [78] 12860(11.2%) 6890(6.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [95] 32.5% for-loop [114] 10.0% list-cartesian-product [116] 4.8% loop [140] 2.5% -------------------------------------------------------------------------- taylor-alt [65] 100.0% [79] 7926(6.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [94] 100.0% -------------------------------------------------------------------------- pick-errors [66] 100.0% [80] 1784(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [141] 100.0% -------------------------------------------------------------------------- atab-add-altns [75] 15.4% for-loop [67] 84.6% [81] 1560(1.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [97] 85.9% override-at-pnts [108] 14.1% -------------------------------------------------------------------------- split-atab [69] 100.0% [82] 1024(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [101] 41.0% for-loop [102] 39.5% for-loop [109] 19.5% -------------------------------------------------------------------------- apply-match [64] 100.0% [83] 902(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [153] 48.8% merge-egraph-nodes! [96] 26.8% mk-enode! [98] 24.4% -------------------------------------------------------------------------- substitute-e [84] 33.1% apply-match [64] 66.9% [84] 798(0.7%) 396(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [98] 50.4% substitute-e [84] 33.1% -------------------------------------------------------------------------- argmin [70] 100.0% [85] 604(0.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [99] 100.0% -------------------------------------------------------------------------- err-lsts->split-indices [72] 100.0% [86] 462(0.4%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [100] 100.0% -------------------------------------------------------------------------- ??? [73] 29.2% matcher [120] 70.8% [87] 402(0.3%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [104] 70.8% *rules* [103] 29.2% -------------------------------------------------------------------------- atab-pick-alt8 [74] 100.0% [88] 242(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [105] 100.0% -------------------------------------------------------------------------- apply-match [64] 100.0% [89] 222(0.2%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [107] 100.0% -------------------------------------------------------------------------- debug-print [71] 100.0% [90] 220(0.2%) 220(0.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- argmin [70] 100.0% [91] 200(0.2%) 200(0.2%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- loop [76] 100.0% [92] 30048(26.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [111] 39.1% make-exacts* [110] 39.0% eval-prog [141] 21.9% -------------------------------------------------------------------------- sort [77] 44.4% copying-mergesort [93] 55.6% [93] 13344(11.6%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [93] 55.6% loop [112] 33.2% jloop [5] 11.3% -------------------------------------------------------------------------- location-do [94] 30.8% for-loop [79] 69.2% [94] 7926(6.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [113] 69.2% location-do [94] 30.8% -------------------------------------------------------------------------- match-e [78] 100.0% [95] 4912(4.3%) 1702(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [114] 38.0% list-cartesian-product [116] 21.1% loop [140] 4.2% curry* [127] 4.1% loop [156] 2.5% -------------------------------------------------------------------------- for-loop [121] 4.7% for-loop [83] 4.7% merge-egraph-nodes! [96] 12.8% apply-match [64] 77.9% [96] 2586(2.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [115] 70.5% merge-egraph-nodes! [96] 12.8% for-loop [119] 7.8% for-loop [121] 4.7% loop! [153] 4.3% -------------------------------------------------------------------------- atab-add-altn [81] 100.0% [97] 1340(1.2%) 220(0.2%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [117] 83.6% -------------------------------------------------------------------------- expr->enode [52] 19.2% apply-match [64] 21.1% for-loop [83] 21.1% substitute-e [84] 38.6% [98] 1042(0.9%) 642(0.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [125] 19.2% new-enode [126] 19.2% -------------------------------------------------------------------------- expression-cost [85] 100.0% [99] 604(0.5%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [149] 100.0% -------------------------------------------------------------------------- add-splitpoint [86] 100.0% [100] 462(0.4%) 222(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [123] 51.9% -------------------------------------------------------------------------- for-loop [82] 100.0% [101] 420(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [132] 100.0% -------------------------------------------------------------------------- for-loop [82] 100.0% [102] 404(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [118] 100.0% -------------------------------------------------------------------------- rewriter [87] 100.0% [103] 402(0.3%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [119] 100.0% -------------------------------------------------------------------------- rewriter [87] 100.0% [104] 402(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [120] 100.0% -------------------------------------------------------------------------- ??? [88] 100.0% [105] 242(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [122] 100.0% -------------------------------------------------------------------------- loop [76] 100.0% [106] 228(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [124] 100.0% -------------------------------------------------------------------------- reduce-to-single! [89] 100.0% [107] 222(0.2%) 222(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- atab-add-altn [81] 100.0% [108] 220(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [117] 100.0% -------------------------------------------------------------------------- for-loop [82] 100.0% [109] 200(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:76:45 ??? 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[135] 7.3% -------------------------------------------------------------------------- match-e [78] 21.9% list-cartesian-product [116] 28.0% for-loop [95] 50.1% [116] 1868(1.6%) 1666(1.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [116] 28.0% for-loop [137] 5.4% -------------------------------------------------------------------------- override-at-pnts [108] 12.2% loop [140] 12.2% composed [189] 13.4% best-and-tied-at-points [97] 62.2% [117] 1802(1.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [141] 65.6% for-loop [134] 34.4% -------------------------------------------------------------------------- one-iter [42] 49.8% for-loop [102] 50.2% [118] 804(0.7%) 400(0.3%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [132] 50.2% -------------------------------------------------------------------------- merge-egraph-nodes! 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[153] 0.8% extract-alt [37] 1.1% infer-splitpoints4 [43] 1.5% map [128] 1.7% append-map [57] 2.3% ??? [4] 27.0% loop [140] 62.9% [140] 71522(62.0%) 876(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [140] 62.9% hash-ref! [149] 27.0% taylor-alt [65] 2.3% option-on-expr [54] 1.5% parse-loop12 [160] 1.3% simplify [3] 1.1% ??? [148] 1.0% loop! [153] 0.7% for-loop [151] 0.4% completely-simplify-alt [11] 0.3% loop [156] 0.3% simplify [33] 0.3% ??? [186] 0.2% ??? [26] 0.1% errors [117] 0.1% localize-error [49] 0.0% ->flonum [152] 0.0% -------------------------------------------------------------------------- ??? [132] 3.0% errors [117] 3.5% for-loop [80] 5.2% loop [92] 19.3% make-exacts* [110] 19.7% ??? [129] 49.2% [141] 34090(29.6%) 7358(6.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [149] 73.3% ??? [154] 2.7% go [155] 1.8% -------------------------------------------------------------------------- for-loop [131] 100.0% [142] 3026(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [150] 100.0% -------------------------------------------------------------------------- simplify [33] 35.5% map [128] 64.5% [143] 682(0.6%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [157] 64.8% f94 [173] 35.2% -------------------------------------------------------------------------- ??? [133] 100.0% [144] 442(0.4%) 442(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- custom-set-union! [135] 100.0% [145] 238(0.2%) 238(0.2%) for-loop ...cts/racket/private/set-types.rkt:254:4 -------------------------------------------------------------------------- sample-double [136] 100.0% [146] 228(0.2%) 228(0.2%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 -------------------------------------------------------------------------- loop [130] 100.0% [147] 220(0.2%) 220(0.2%) make-term ...lock/herbie/src/core/taylor.rkt:124:0 -------------------------------------------------------------------------- loop [112] 0.6% ??? [129] 0.6% for-loop [134] 1.0% map [128] 1.1% loop [140] 96.8% [148] 39918(34.6%) 1620(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [158] 86.3% real->bigfloat [163] 7.4% ??? [196] 2.3% -------------------------------------------------------------------------- for-loop [179] 0.1% first-nonzero-exp [27] 0.2% ??? [4] 0.3% ??? [164] 0.5% for-loop [35] 0.8% ??? [6] 1.0% for-loop [24] 1.2% ??? [26] 1.2% for-loop [22] 1.3% compile [99] 1.5% localize-error [49] 1.9% loop [130] 3.8% for-loop [23] 4.1% ??? [34] 4.2% ??? [161] 4.3% eval-prog [141] 33.8% loop [140] 40.0% [149] 33890(29.4%) 202(0.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 41.4% bigfloat-hash [159] 33.8% ??? [161] 4.3% ??? [7] 4.2% ??? [8] 4.1% parse-loop12 [160] 3.1% ??? [6] 2.5% simplify [33] 2.0% f94 [173] 1.3% ??? [9] 1.3% ??? [10] 0.9% ??? [164] 0.8% ??? [15] 0.1% -------------------------------------------------------------------------- for-loop [142] 100.0% [150] 3026(2.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? 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[149] 100.0% [159] 24984(21.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [172] 91.0% sig+exp->bigfloat [177] 8.0% bigfloat->sig+exp [188] 1.0% -------------------------------------------------------------------------- f94 [173] 4.5% loop [140] 6.6% for-loop [28] 7.9% simplify [33] 8.1% parse-loop12 [160] 15.9% hash-ref! [149] 19.4% map [128] 37.6% [160] 5348(4.6%) 2968(2.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [140] 22.8% parse-loop12 [160] 15.9% map [128] 11.7% for-loop [179] 7.9% f94 [173] 5.5% parse-app [180] 4.5% for-loop [181] 4.5% -------------------------------------------------------------------------- hash-ref! [149] 100.0% [161] 4132(3.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [149] 100.0% -------------------------------------------------------------------------- hash-update! [150] 100.0% [162] 3026(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [176] 93.4% make-sequence [185] 6.6% -------------------------------------------------------------------------- ??? [148] 100.0% [163] 2958(2.6%) 2958(2.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 -------------------------------------------------------------------------- hash-ref! [149] 100.0% [164] 1106(1.0%) 200(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [149] 72.0% for-loop [184] 9.9% -------------------------------------------------------------------------- for-loop [151] 100.0% [165] 662(0.6%) 440(0.4%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [183] 33.5% -------------------------------------------------------------------------- new-enode [126] 31.2% loop! [153] 68.8% [166] 642(0.6%) 642(0.6%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- loop [167] 42.5% go [155] 57.5% [167] 622(0.5%) 622(0.5%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [167] 42.5% -------------------------------------------------------------------------- for-loop [151] 100.0% [168] 620(0.5%) 620(0.5%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 -------------------------------------------------------------------------- ->flonum [152] 100.0% [169] 532(0.5%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [204] 100.0% -------------------------------------------------------------------------- ??? 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[149] 6.4% f94 [173] 15.1% map [128] 35.6% simplify [33] 37.3% [173] 5640(4.9%) 1088(0.9%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [128] 67.2% f94 [173] 15.1% taylor-invert [13] 2.9% composed [189] 2.3% taylor [12] 2.2% taylor-sqrt [14] 2.1% parse-loop12 [160] 1.4% -------------------------------------------------------------------------- ??? [158] 100.0% [174] 4456(3.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [186] 100.0% -------------------------------------------------------------------------- ??? [158] 100.0% [175] 4306(3.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [187] 67.9% ??? [196] 32.1% -------------------------------------------------------------------------- ??? [162] 100.0% [176] 2826(2.5%) 2384(2.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [190] 15.6% -------------------------------------------------------------------------- bigfloat-hash [159] 100.0% [177] 2010(1.7%) 1610(1.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [191] 19.9% -------------------------------------------------------------------------- ??? [158] 100.0% [178] 982(0.9%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [187] 73.1% ??? [196] 26.9% -------------------------------------------------------------------------- parse-loop12 [160] 100.0% [179] 420(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [149] 52.4% simplify [33] 47.6% -------------------------------------------------------------------------- parse-loop12 [160] 100.0% [180] 240(0.2%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [192] 100.0% -------------------------------------------------------------------------- parse-loop12 [160] 100.0% [181] 240(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [193] 100.0% -------------------------------------------------------------------------- ??? [158] 100.0% [182] 234(0.2%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [203] 100.0% -------------------------------------------------------------------------- eval-const-expr [165] 100.0% [183] 222(0.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [194] 100.0% -------------------------------------------------------------------------- ??? [164] 100.0% [184] 220(0.2%) 220(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 -------------------------------------------------------------------------- ??? [162] 100.0% [185] 200(0.2%) 200(0.2%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- loop [140] 2.2% bf* [174] 16.1% ??? [158] 81.7% [186] 27688(24.0%) 5052(4.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [195] 55.8% bfsqrt [197] 14.3% ??? [203] 11.6% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [178] 19.7% ...higher-order.rkt:373:33 [175] 80.3% [187] 3640(3.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [196] 100.0% -------------------------------------------------------------------------- bigfloat-hash [159] 36.2% bfcanonicalize [172] 63.8% [188] 686(0.6%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [198] 63.8% new-mpz [199] 36.2% -------------------------------------------------------------------------- argmins [122] 35.5% f94 [173] 64.5% [189] 682(0.6%) 200(0.2%) composed ...ollects/racket/private/list.rkt:321:16 errors [117] 35.5% free-variables [200] 35.2% -------------------------------------------------------------------------- loop! [153] 33.4% for-loop [176] 66.6% [190] 664(0.6%) 664(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- sig+exp->bigfloat [177] 100.0% [191] 400(0.3%) 400(0.3%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- parse-app [180] 100.0% [192] 240(0.2%) 240(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 -------------------------------------------------------------------------- for-loop [181] 100.0% [193] 240(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [201]100.0% -------------------------------------------------------------------------- inductor [194] 50.0% expression-induct31 [183] 50.0% [194] 222(0.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [194] 50.0% integer->bigfloat [202] 50.0% -------------------------------------------------------------------------- ??? [186] 100.0% [195] 15450(13.4%) 14322(12.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [204] 7.3% -------------------------------------------------------------------------- ??? [58] 3.1% ...higher-order.rkt:369:33 [178] 4.1% ??? [148] 14.2% ...higher-order.rkt:373:33 [175] 21.7% ??? [187] 57.0% [196] 6388(5.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [203] 96.9% dict? [206] 3.1% -------------------------------------------------------------------------- ??? [186] 100.0% [197] 3968(3.4%) 2548(2.2%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [204] 35.8% -------------------------------------------------------------------------- bigfloat->sig+exp [188] 100.0% [198] 438(0.4%) 438(0.4%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 -------------------------------------------------------------------------- bigfloat->sig+exp [188] 100.0% [199] 248(0.2%) 248(0.2%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------- composed [189] 100.0% [200] 240(0.2%) 240(0.2%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------- make-multiplication-node [193] 100.0% [201] 240(0.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 compose [205] 100.0% -------------------------------------------------------------------------- inductor [194] 100.0% [202] 222(0.2%) 222(0.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------------- bf<= [182] 2.4% ??? [186] 33.4% ??? [196] 64.2% [203] 9644(8.4%) 4936(4.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [207] 43.6% ??? [208] 5.2% -------------------------------------------------------------------------- ??? [169] 17.3% bfsub [195] 36.6% bfsqrt [197] 46.1% [204] 3080(2.7%) 3080(2.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- for-loop [151] 48.1% make-multiplication-subnode [201] 51.9% [205] 462(0.4%) 462(0.4%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- ??? [196] 100.0% [206] 196(0.2%) 196(0.2%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------------- ??? [203] 100.0% [207] 4202(3.6%) 2632(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [209] 37.4% -------------------------------------------------------------------------- ??? [203] 100.0% [208] 506(0.4%) 506(0.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [207] 100.0% [209] 1570(1.4%) 1570(1.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------