Profiling results ----------------- Total cpu time observed: 226028ms (out of 228256ms) Number of samples taken: 967 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 214 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [54] 100.0% [1] 205208(90.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------- ??? [54] 100.0% [2] 128234(56.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [15] 81.9% get-final-combination [18] 17.1% loop [68] 0.8% setup-prog [26] 0.1% -------------------------------------------------------------------------- simplify-alt [35] 0.2% loop [130] 2.8% ??? [54] 97.0% [3] 98944(43.8%) 702(0.3%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 66.1% for-loop [17] 24.3% iterate-egraph!5 [28] 8.5% loop [31] 0.4% -------------------------------------------------------------------------- copying-mergesort [85] 100.0% [4] 4966(2.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [114] 95.2% ??? [147] 4.8% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [5] 4174(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [6] 2998(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [148] 81.6% ??? [33] 18.4% -------------------------------------------------------------------------- f6 [176] 100.0% [7] 2672(1.2%) 202(0.1%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [20] 77.9% simplify [30] 14.5% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [8] 1338(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [9] 1086(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [22] 67.2% hash-ref! [148] 32.8% -------------------------------------------------------------------------- f6 [176] 100.0% [10] 602(0.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [20] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [11] 598(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [23] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [12] 402(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [24] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [13] 398(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [25] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.8% [14] 205612(91.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [54] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 105050(46.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [27] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [16] 65376(28.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [28] 94.4% loop [31] 5.3% debug-print [197] 0.3% -------------------------------------------------------------------------- simplify [3] 100.0% [17] 24018(10.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [28] 95.6% loop [31] 4.4% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 21960(9.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [29] 87.2% extract-alt [32] 12.8% -------------------------------------------------------------------------- ??? [5] 100.0% [19] 4174(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [148] 100.0% -------------------------------------------------------------------------- taylor-invert [10] 22.4% taylor-quotient [7] 77.6% [20] 2684(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [148] 92.5% simplify [30] 7.5% -------------------------------------------------------------------------- ??? [8] 100.0% [21] 1338(0.6%) 198(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [33] 77.7% simplify [30] 7.5% -------------------------------------------------------------------------- ??? [9] 100.0% [22] 730(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [148] 100.0% -------------------------------------------------------------------------- ??? [11] 100.0% [23] 598(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [34] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [24] 402(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 ??? [142] 50.2% simplify [30] 49.8% -------------------------------------------------------------------------- ??? [13] 100.0% [25] 398(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [167] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [26] 150(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [35] 100.0% -------------------------------------------------------------------------- for-loop [15] 100.0% [27] 105050(46.5%) 200(0.1%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [36] 91.4% gen-series! [39] 6.7% finalize-iter! [42] 1.2% choose-best-alt! [44] 0.2% -------------------------------------------------------------------------- simplify [3] 9.0% for-loop [17] 24.7% simplify-expr [16] 66.3% [28] 93108(41.2%) 232(0.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 93.6% map-enodes [40] 5.9% debug7 [198] 0.2% -------------------------------------------------------------------------- get-final-combination [18] 100.0% [29] 19160(8.5%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [38] 95.4% ??? [51] 4.6% -------------------------------------------------------------------------- for-loop [24] 3.7% for-loop [21] 3.7% first-nonzero-exp [20] 3.7% taylor-quotient [7] 7.1% hash-ref! [148] 81.9% [30] 5470(2.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [176] 62.2% parse-loop12 [167] 23.9% simplify-node [43] 6.5% debug-print [197] 3.7% debug7 [198] 3.6% -------------------------------------------------------------------------- simplify [3] 9.0% for-loop [17] 21.2% simplify-expr [16] 69.8% [31] 4934(2.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [41] 100.0% -------------------------------------------------------------------------- get-final-combination [18] 100.0% [32] 2800(1.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [130] 100.0% -------------------------------------------------------------------------- ??? [6] 32.6% for-loop [21] 67.4% [33] 1692(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [148] 100.0% -------------------------------------------------------------------------- for-loop [23] 100.0% [34] 598(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [148] 100.0% -------------------------------------------------------------------------- setup-prog [26] 100.0% [35] 150(0.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [36] 95994(42.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [28] 100.0% [37] 87178(38.6%) 1958(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [46] 53.6% loop [47] 41.0% apply-match [55] 2.6% loop [107] 0.5% -------------------------------------------------------------------------- split-table [29] 100.0% [38] 18276(8.1%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [48] 79.0% loop [130] 21.0% -------------------------------------------------------------------------- run-iter! [27] 100.0% [39] 6994(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [49] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [28] 100.0% [40] 5498(2.4%) 198(0.1%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [130] 89.1% for-loop [141] 7.3% -------------------------------------------------------------------------- loop [31] 100.0% [41] 4934(2.2%) 202(0.1%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [50] 95.9% -------------------------------------------------------------------------- run-iter! [27] 100.0% [42] 1294(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [51] 100.0% -------------------------------------------------------------------------- map [113] 49.3% simplify [30] 50.7% [43] 706(0.3%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [52] 50.7% combine-aterms [53] 49.3% -------------------------------------------------------------------------- run-iter! [27] 100.0% [44] 202(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [51] 100.0% -------------------------------------------------------------------------- simplify! [36] 100.0% [45] 95994(42.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [54] 100.0% -------------------------------------------------------------------------- for-loop [46] 48.9% one-iter [37] 51.1% [46] 46740(20.7%) 8368(3.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [46] 48.9% match-e [69] 40.3% ??? [117] 0.7% -------------------------------------------------------------------------- one-iter [37] 100.0% [47] 35730(15.8%) 402(0.2%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [55] 98.9% -------------------------------------------------------------------------- loop [130] 21.0% infer-splitpoints4 [38] 79.0% [48] 18276(8.1%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [56] 87.8% pick-errors [59] 7.4% err-lsts->split-indices [64] 2.3% errors [132] 1.3% sindices->spoints [66] 1.2% -------------------------------------------------------------------------- gen-series! [39] 100.0% [49] 6994(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [57] 100.0% -------------------------------------------------------------------------- pass [41] 100.0% [50] 4732(2.1%) 420(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [58] 68.4% for-loop [62] 9.4% loop [63] 9.0% make-sequence [170] 4.4% -------------------------------------------------------------------------- choose-best-alt! [44] 8.5% split-table [29] 37.1% finalize-iter! [42] 54.4% [51] 2380(1.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [60] 54.4% split-atab [61] 37.1% atab-pick-alt8 [67] 8.5% -------------------------------------------------------------------------- f6 [176] 35.8% simplify-node [43] 64.2% [52] 558(0.2%) 200(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop12 [167] 64.2% f6 [176] 17.9% -------------------------------------------------------------------------- simplify-node [43] 100.0% [53] 348(0.2%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [65] 100.0% -------------------------------------------------------------------------- for-loop [45] 15.6% run [14] 41.3% [54] 213370(94.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.2% run-improve58 [2] 23.2% loop [68] 20.1% simplify [3] 15.6% -------------------------------------------------------------------------- one-iter [37] 6.1% loop [47] 93.9% [55] 37634(16.7%) 1656(0.7%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [84] 37.5% for-loop [71] 20.4% match-e [69] 18.9% loop! [139] 7.6% mk-enode! [103] 7.4% substitute-e [89] 2.1% reduce-to-single! [77] 1.8% -------------------------------------------------------------------------- option-on-expr [48] 100.0% [56] 16040(7.1%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [70] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [57] 6994(3.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [72] 100.0% -------------------------------------------------------------------------- for-loop [50] 100.0% [58] 3236(1.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [73] 93.1% for-loop [79] 6.9% -------------------------------------------------------------------------- option-on-expr [48] 100.0% [59] 1356(0.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [74] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [60] 1294(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [75] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [61] 884(0.4%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [76] 100.0% -------------------------------------------------------------------------- for-loop [50] 100.0% [62] 444(0.2%) 444(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [50] 100.0% [63] 424(0.2%) 222(0.1%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [73] 47.6% -------------------------------------------------------------------------- option-on-expr [48] 100.0% [64] 420(0.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [78] 100.0% -------------------------------------------------------------------------- combine-aterms [53] 100.0% [65] 348(0.2%) 348(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 -------------------------------------------------------------------------- option-on-expr [48] 100.0% [66] 220(0.1%) 0(0.0%) sindices->spoints ...ie/src/core/regimes.rkt:119:0 for-loop [80] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [67] 202(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [81] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 1.2% ??? [54] 98.8% [68] 86210(38.1%) 232(0.1%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [82] 47.6% make-exacts* [96] 32.9% loop [97] 18.4% for-loop [92] 0.5% map [113] 0.3% -------------------------------------------------------------------------- apply-match [55] 11.8% for-loop [98] 15.7% for-loop [46] 72.5% [69] 44796(19.8%) 22898(10.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 41.9% for-loop [98] 7.2% list-cartesian-product [102] 3.0% loop [130] 2.7% constant? [188] 1.4% curry* [108] 0.9% -------------------------------------------------------------------------- sort-context-on-expr [56] 100.0% [70] 16040(7.1%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [85] 70.7% loop [99] 29.3% -------------------------------------------------------------------------- apply-match [55] 100.0% [71] 7666(3.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [139] 58.1% merge-egraph-nodes! [84] 36.2% substitute-e [89] 3.2% mk-enode! [103] 2.6% -------------------------------------------------------------------------- taylor-alt [57] 100.0% [72] 6994(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [86] 100.0% -------------------------------------------------------------------------- loop [63] 6.3% argmin [58] 93.7% [73] 3216(1.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [87] 100.0% -------------------------------------------------------------------------- pick-errors [59] 100.0% [74] 1356(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [138] 100.0% -------------------------------------------------------------------------- for-loop [60] 100.0% [75] 1294(0.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [88] 82.2% override-at-pnts [93] 17.8% -------------------------------------------------------------------------- split-atab [61] 100.0% [76] 884(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [90] 74.9% for-loop [94] 25.1% -------------------------------------------------------------------------- apply-match [55] 100.0% [77] 664(0.3%) 442(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [170] 33.4% -------------------------------------------------------------------------- err-lsts->split-indices [64] 100.0% [78] 420(0.2%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [91] 100.0% -------------------------------------------------------------------------- argmin [58] 100.0% [79] 222(0.1%) 222(0.1%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- sindices->spoints [66] 100.0% [80] 220(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:153:7 eval-prog [138] 100.0% -------------------------------------------------------------------------- atab-pick-alt8 [67] 100.0% [81] 202(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [95] 100.0% -------------------------------------------------------------------------- loop [68] 100.0% [82] 41016(18.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [97] 53.6% make-exacts* [96] 40.7% eval-prog [138] 5.7% -------------------------------------------------------------------------- match-e [69] 100.0% [83] 22320(9.9%) 9072(4.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [98] 46.0% list-cartesian-product [102] 11.4% filter [109] 2.2% loop [130] 1.9% curried [154] 1.4% curry* [108] 0.9% -------------------------------------------------------------------------- for-loop [105] 2.4% merge-egraph-nodes! [84] 6.0% for-loop [71] 16.4% apply-match [55] 75.2% [84] 16880(7.5%) 442(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [100] 55.7% for-loop [104] 10.0% enode-merge! [106] 9.2% loop! [139] 8.6% for-loop [105] 6.6% merge-egraph-nodes! [84] 6.0% make-sequence [170] 1.2% -------------------------------------------------------------------------- sort [70] 45.5% copying-mergesort [85] 54.5% [85] 11344(5.0%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [85] 54.5% loop [99] 34.6% jloop [4] 10.9% -------------------------------------------------------------------------- location-do [86] 14.2% for-loop [72] 85.8% [86] 6994(3.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [101] 85.8% location-do [86] 14.2% -------------------------------------------------------------------------- expression-cost [73] 100.0% [87] 3216(1.4%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [148] 100.0% -------------------------------------------------------------------------- atab-add-altn [75] 100.0% [88] 1064(0.5%) 220(0.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [132] 79.3% -------------------------------------------------------------------------- substitute-e [89] 10.6% for-loop [71] 23.3% apply-match [55] 66.2% [89] 1040(0.5%) 398(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [103] 61.7% substitute-e [89] 10.6% -------------------------------------------------------------------------- for-loop [76] 100.0% [90] 662(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [107] 100.0% -------------------------------------------------------------------------- add-splitpoint [78] 100.0% [91] 420(0.2%) 220(0.1%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [112] 47.6% -------------------------------------------------------------------------- loop [68] 100.0% [92] 406(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [110] 100.0% -------------------------------------------------------------------------- atab-add-altn [75] 100.0% [93] 230(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [132] 100.0% -------------------------------------------------------------------------- for-loop [76] 100.0% [94] 222(0.1%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [119] 100.0% -------------------------------------------------------------------------- ??? [81] 100.0% [95] 202(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [111] 100.0% -------------------------------------------------------------------------- loop [82] 37.0% loop [68] 63.0% [96] 45098(20.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [113] 51.0% loop [130] 45.9% eval-prog [138] 3.1% -------------------------------------------------------------------------- loop [68] 41.9% loop [82] 58.1% [97] 37878(16.8%) 204(0.1%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [113] 99.5% -------------------------------------------------------------------------- match-e [69] 29.8% for-loop [83] 70.2% [98] 16488(7.3%) 1984(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [69] 80.6% ??? [117] 8.7% -------------------------------------------------------------------------- sort [70] 42.4% copying-mergesort [85] 57.6% [99] 11074(4.9%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [114] 97.9% ??? [147] 2.1% -------------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [100] 10072(4.5%) 2194(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [115] 76.0% custom-set-union! [126] 2.2% -------------------------------------------------------------------------- location-do [86] 100.0% [101] 6994(3.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [116] 89.7% f6 [176] 5.0% for-loop [129] 2.9% taylor [191] 2.5% -------------------------------------------------------------------------- match-e [69] 26.6% list-cartesian-product [102] 27.1% for-loop [83] 46.3% [102] 4730(2.1%) 3470(1.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [102] 27.1% for-loop [118] 22.4% -------------------------------------------------------------------------- for-loop [71] 5.5% substitute-e [89] 17.8% apply-match [55] 76.7% [103] 3610(1.6%) 2552(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [120] 17.1% hash-has-key? [123] 12.2% -------------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [104] 1890(0.8%) 1688(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [179] 10.7% -------------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [105] 1682(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [84] 51.1% loop! [139] 48.9% -------------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [106] 1560(0.7%) 596(0.3%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [122] 35.9% custom-set-intersect! [124] 25.9% -------------------------------------------------------------------------- one-iter [37] 40.1% for-loop [90] 59.9% [107] 1106(0.5%) 444(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [119] 59.9% -------------------------------------------------------------------------- for-loop [83] 33.6% match-e [69] 66.4% [108] 602(0.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [121] 100.0% -------------------------------------------------------------------------- for-loop [83] 100.0% [109] 598(0.3%) 598(0.3%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- for-loop [92] 100.0% [110] 406(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [127] 50.7% sample-double [128] 49.3% -------------------------------------------------------------------------- best-alt [95] 100.0% [111] 202(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [125] 100.0% -------------------------------------------------------------------------- for-loop [91] 100.0% [112] 200(0.1%) 200(0.1%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 -------------------------------------------------------------------------- ??? 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[103] 100.0% [120] 618(0.3%) 400(0.2%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [151] 35.3% -------------------------------------------------------------------------- curry* [108] 100.0% [121] 602(0.3%) 602(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- enode-merge! [106] 100.0% [122] 560(0.2%) 200(0.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [150] 64.3% -------------------------------------------------------------------------- mk-enode! [103] 100.0% [123] 440(0.2%) 440(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- enode-merge! 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[117] 100.0% [133] 1240(0.5%) 1240(0.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- map [113] 100.0% [134] 552(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [145]100.0% -------------------------------------------------------------------------- map [113] 1.1% loop [135] 98.9% [135] 418(0.2%) 272(0.1%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [135] 98.9% ??? [146] 1.0% -------------------------------------------------------------------------- sample-default [127] 100.0% [136] 206(0.1%) 206(0.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- sample-double [128] 100.0% [137] 200(0.1%) 200(0.1%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 -------------------------------------------------------------------------- for-loop [80] 1.0% errors [132] 3.0% ??? [119] 4.1% for-loop [74] 6.2% make-exacts* [96] 6.3% loop [82] 10.7% ??? [114] 68.6% [138] 21718(9.6%) 10246(4.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [148] 46.0% parse-lambda [155] 3.9% inductor [158] 1.9% -------------------------------------------------------------------------- for-loop [105] 4.1% merge-egraph-nodes! [84] 12.7% apply-match [55] 19.3% for-loop [71] 31.9% loop [130] 32.1% [139] 10042(4.4%) 2084(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [130] 36.6% custom-set-union [150] 28.4% set [151] 14.2% update-en-expr [179] 7.2% -------------------------------------------------------------------------- for-loop [131] 100.0% [140] 7198(3.2%) 220(0.1%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? 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[147] 46.8% ulp-difference [160] 25.5% -------------------------------------------------------------------------- make-multiplication-node [134] 100.0% [145] 552(0.2%) 186(0.1%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [159] 66.3% -------------------------------------------------------------------------- loop [135] 100.0% [146] 146(0.1%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [157] 100.0% -------------------------------------------------------------------------- jloop [4] 0.3% loop [99] 0.3% for-loop [144] 0.5% ??? [114] 0.5% map [113] 1.1% loop [130] 97.3% [147] 82450(36.5%) 1558(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [161] 73.1% loop [130] 12.7% real->bigfloat [162] 9.0% ??? [200] 3.0% -------------------------------------------------------------------------- for-loop [183] 0.1% for-loop [34] 0.2% ??? [9] 0.2% for-loop [22] 0.5% ??? [142] 0.6% ??? [33] 1.0% first-nonzero-exp [20] 1.5% ??? [6] 1.5% loop [116] 4.1% for-loop [19] 5.3% compile [87] 7.5% ??? [163] 8.7% eval-prog [138] 13.6% ??? [166] 16.8% loop [130] 36.7% [148] 19838(8.8%) 2184(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [163] 48.8% ??? [166] 16.8% bigfloat-hash [164] 12.8% ??? [5] 5.3% f6 [176] 3.5% simplify [30] 2.9% ??? [6] 1.9% ??? [8] 0.8% ??? [9] 0.7% parse-loop12 [167] 0.5% ??? [11] 0.2% ??? [12] 0.2% ??? [13] 0.1% -------------------------------------------------------------------------- hash-update! [140] 100.0% [149] 6978(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [165] 94.0% make-sequence [170] 6.0% -------------------------------------------------------------------------- adopt-enode! [122] 9.6% loop! [139] 90.4% [150] 3732(1.7%) 1486(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [168] 60.2% -------------------------------------------------------------------------- new-enode [120] 7.0% loop! [139] 93.0% [151] 3130(1.4%) 3130(1.4%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- for-loop [141] 100.0% [152] 2486(1.1%) 1262(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [169] 49.2% -------------------------------------------------------------------------- for-loop [141] 100.0% [153] 1574(0.7%) 400(0.2%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 bfcube [171] 45.6% ??? [195] 29.0% -------------------------------------------------------------------------- ??? [142] 19.3% for-loop [83] 40.2% loop [130] 40.5% [154] 1046(0.5%) 1046(0.5%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- eval-prog [138] 100.0% [155] 846(0.4%) 644(0.3%) parse-lambda ...llects/racket/private/kw.rkt:393:2 loop [173] 23.9% -------------------------------------------------------------------------- foldl [143] 100.0% [156] 844(0.4%) 844(0.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- ??? [146] 25.9% loop [130] 35.1% map [113] 39.0% [157] 564(0.2%) 198(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [172] 39.0% ??? [203] 25.9% -------------------------------------------------------------------------- inductor [158] 44.2% eval-prog [138] 55.8% [158] 402(0.2%) 402(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [158] 44.2% -------------------------------------------------------------------------- make-multiplication-subnode [145]100.0% [159] 366(0.2%) 366(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- for-loop [144] 100.0% [160] 220(0.1%) 220(0.1%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 -------------------------------------------------------------------------- ??? [147] 100.0% [161] 60244(26.7%) 1538(0.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [195] 40.8% bf* [186] 34.9% ...higher-order.rkt:373:33 [174] 14.3% bffma [177] 4.9% bf<= [181] 0.9% ...higher-order.rkt:369:33 [182] 0.7% ...ow-val-first.rkt:357:18 [187] 0.5% -------------------------------------------------------------------------- loop [130] 48.8% ??? [147] 51.2% [162] 14506(6.4%) 11648(5.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [204] 19.7% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [163] 12280(5.4%) 1712(0.8%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [130] 77.4% hash-ref! [148] 17.2% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [164] 9304(4.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [175] 74.9% sig+exp->bigfloat [178] 22.5% bigfloat->sig+exp [184] 2.6% -------------------------------------------------------------------------- ??? [149] 100.0% [165] 6562(2.9%) 5940(2.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [179] 9.5% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [166] 6272(2.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [148] 100.0% -------------------------------------------------------------------------- f6 [176] 1.7% append-map [52] 3.1% hash-ref! [148] 5.0% parse-loop12 [167] 7.5% for-loop [25] 13.6% map [113] 24.4% simplify [30] 44.8% [167] 2926(1.3%) 1336(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f6 [176] 19.8% for-loop [183] 13.6% loop [130] 7.6% parse-loop12 [167] 7.5% parse-app [189] 5.4% gather-multiplicative-terms [190] 1.7% gather-additive-terms6 [185] 1.3% -------------------------------------------------------------------------- custom-set-union [150] 100.0% [168] 2246(1.0%) 436(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [180] 80.6% -------------------------------------------------------------------------- setfindf [152] 100.0% [169] 1224(0.5%) 1224(0.5%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- merge-egraph-nodes! [84] 19.1% for-loop [50] 19.9% reduce-to-single! [77] 21.2% ??? [149] 39.8% [170] 1046(0.5%) 1046(0.5%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- eval-const-expr [153] 100.0% [171] 718(0.3%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 ...ow-val-first.rkt:357:18 [187] 100.0% -------------------------------------------------------------------------- ->flonum [157] 100.0% [172] 220(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [204] 100.0% -------------------------------------------------------------------------- parse-lambda [155] 20.0% loop [173] 80.0% [173] 202(0.1%) 202(0.1%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [173] 80.0% -------------------------------------------------------------------------- ??? [161] 100.0% [174] 8608(3.8%) 216(0.1%) ...higher-order.rkt:373:33 (unknown source) ??? [196] 68.8% ??? [200] 28.6% -------------------------------------------------------------------------- bigfloat-hash [164] 100.0% [175] 6972(3.1%) 6972(3.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- append-map [52] 0.5% composed [125] 0.5% approximate9 [101] 1.3% loop [130] 1.4% for-loop [129] 1.8% parse-loop12 [167] 3.1% ??? [142] 4.7% hash-ref! [148] 17.6% simplify [30] 20.9% map [113] 23.0% f6 [176] 25.2% [176] 5650(2.5%) 962(0.4%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [113] 45.0% f6 [176] 25.2% taylor-quotient [7] 8.9% taylor [191] 3.3% gather-multiplicative-terms [190] 2.3% taylor-invert [10] 1.9% append-map [52] 1.0% compose [192] 0.9% parse-app [189] 0.9% parse-loop12 [167] 0.9% composed [125] 0.5% -------------------------------------------------------------------------- ??? [161] 100.0% [177] 2968(1.3%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [186] 66.6% ...ow-val-first.rkt:357:18 [187] 33.4% -------------------------------------------------------------------------- bigfloat-hash [164] 100.0% [178] 2092(0.9%) 1860(0.8%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [194] 11.1% -------------------------------------------------------------------------- for-loop [104] 9.9% for-loop [165] 30.4% loop! [139] 59.7% [179] 2044(0.9%) 1644(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 for-loop [193] 19.6% -------------------------------------------------------------------------- for-loop [168] 100.0% [180] 1810(0.8%) 1810(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- ??? [161] 100.0% [181] 518(0.2%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [203] 100.0% -------------------------------------------------------------------------- ??? [161] 100.0% [182] 428(0.2%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [196] 100.0% -------------------------------------------------------------------------- parse-loop12 [167] 100.0% [183] 398(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [148] 100.0% -------------------------------------------------------------------------- bigfloat-hash [164] 100.0% [184] 240(0.1%) 240(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 -------------------------------------------------------------------------- parse-loop12 [167] 100.0% [185] 158(0.1%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 constant? [188] 100.0% -------------------------------------------------------------------------- bffma [177] 8.6% ??? [161] 91.4% [186] 23008(10.2%) 226(0.1%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [195] 99.0% -------------------------------------------------------------------------- ??? [161] 14.7% bfcube [171] 35.9% bffma [177] 49.5% [187] 2002(0.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [196] 100.0% -------------------------------------------------------------------------- gather-additive-terms6 [185] 16.1% match-e [69] 83.9% [188] 982(0.4%) 982(0.4%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- parse-loop12 [167] 18.9% f6 [176] 24.2% [189] 836(0.4%) 836(0.4%) parse-app .../collects/racket/private/kw.rkt:903:2 -------------------------------------------------------------------------- gather-multiplicative-terms [190] 8.8% parse-loop12 [167] 8.8% map [113] 32.5% f6 [176] 49.9% [190] 758(0.3%) 758(0.3%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [113] 32.5% gather-multiplicative-terms [190] 8.8% -------------------------------------------------------------------------- approximate9 [101] 24.1% f6 [176] 75.9% [191] 722(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [197] 79.8% debug7 [198] 20.2% -------------------------------------------------------------------------- for-loop [141] 33.7% f6 [176] 66.3% [192] 600(0.3%) 600(0.3%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- update-en-expr [179] 100.0% [193] 400(0.2%) 400(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:213:6 -------------------------------------------------------------------------- sig+exp->bigfloat [178] 100.0% [194] 232(0.1%) 232(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- eval-const-expr [153] 1.0% bf* [186] 47.6% ??? [161] 51.4% [195] 47844(21.2%) 3376(1.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [199] 64.3% ??? [203] 20.0% bfsqrt [201] 8.7% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [182] 5.1% ...ow-val-first.rkt:357:18 [187] 24.0% ...higher-order.rkt:373:33 [174] 70.9% [196] 8356(3.7%) 504(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [200] 94.0% -------------------------------------------------------------------------- simplify-expr [16] 20.4% simplify [30] 20.7% taylor [191] 58.9% [197] 978(0.4%) 576(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [202] 41.1% -------------------------------------------------------------------------- taylor [191] 26.9% simplify [30] 36.2% iterate-egraph!5 [28] 36.9% [198] 542(0.2%) 542(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 -------------------------------------------------------------------------- ??? [195] 100.0% [199] 30776(13.6%) 21672(9.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [204] 29.6% -------------------------------------------------------------------------- loop [130] 10.8% ??? [147] 17.1% ...higher-order.rkt:373:33 [174] 17.2% ??? [196] 54.9% [200] 14306(6.3%) 252(0.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [203] 98.2% -------------------------------------------------------------------------- ??? [195] 100.0% [201] 4144(1.8%) 2836(1.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [204] 31.6% -------------------------------------------------------------------------- debug-print [197] 100.0% [202] 402(0.2%) 402(0.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- ->flonum [157] 0.6% bf<= [181] 2.1% ??? [195] 39.3% ??? [200] 57.9% [203] 24266(10.7%) 10516(4.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [205] 51.8% ??? [206] 4.9% -------------------------------------------------------------------------- ??? [172] 1.6% bfsqrt [201] 9.7% real->bigfloat [162] 21.2% bfsub [199] 67.5% [204] 13490(6.0%) 13490(6.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [203] 100.0% [205] 12570(5.6%) 8522(3.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [207] 32.2% -------------------------------------------------------------------------- ??? [203] 100.0% [206] 1180(0.5%) 1180(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [205] 100.0% [207] 4048(1.8%) 4048(1.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------