Profiling results ----------------- Total cpu time observed: 119762ms (out of 120428ms) Number of samples taken: 540 (once every 222ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 181 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [49] 100.0% [1] 111818(93.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% -------------------------------------------------------------------------- ??? [49] 100.0% [2] 101934(85.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [14] 78.5% finalize-table! [17] 18.0% get-final-combination [21] 2.9% loop [58] 0.4% setup-prog [24] 0.2% -------------------------------------------------------------------------- simplify-alt [32] 0.3% loop [128] 3.7% ??? [49] 96.1% [3] 80068(66.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [15] 56.1% for-loop [16] 38.6% iterate-egraph!5 [25] 5.3% -------------------------------------------------------------------------- post-process [27] 5.1% loop [128] 94.9% [4] 8198(6.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [15] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [5] 6848(5.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [6] 6840(5.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [112] 94.1% ??? [29] 5.9% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [7] 6412(5.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [8] 4748(4.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [9] 2446(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [10] 1684(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [112] 56.7% for-loop [23] 43.3% -------------------------------------------------------------------------- map [106] 23.0% loop [128] 77.0% [11] 1356(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [112] 68.7% curried [140] 16.4% f37 [102] 14.9% -------------------------------------------------------------------------- map [106] 49.8% f37 [102] 50.2% [12] 402(0.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [103] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [13] 111818(93.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [49] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 79978(66.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [4] 15.4% simplify [3] 84.6% [15] 53114(44.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [25] 94.0% loop [28] 6.0% -------------------------------------------------------------------------- simplify [3] 100.0% [16] 30904(25.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [25] 93.4% loop [28] 6.6% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 18386(15.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [18] 6848(5.7%) 222(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [112] 76.5% ??? [29] 17.5% simplify [80] 4.4% -------------------------------------------------------------------------- ??? [7] 100.0% [19] 6412(5.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [112] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [20] 4748(4.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [112] 86.9% simplify [80] 13.1% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [21] 2928(2.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [30] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [22] 2446(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [31] 100.0% -------------------------------------------------------------------------- ??? [10] 100.0% [23] 838(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [112] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 218(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [32] 100.0% -------------------------------------------------------------------------- simplify [3] 5.1% for-loop [16] 34.7% simplify-expr [15] 60.1% [25] 83038(69.3%) 220(0.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [33] 95.9% map-enodes [37] 3.8% -------------------------------------------------------------------------- for-loop [14] 100.0% [26] 79978(66.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [34] 97.0% finalize-iter! [38] 1.6% gen-series! [40] 0.8% localize-error [39] 0.3% choose-best-alt! [41] 0.3% -------------------------------------------------------------------------- finalize-table! [17] 100.0% [27] 18386(15.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [35] 50.4% loop [128] 46.1% completely-simplify-alt [4] 2.3% localize-error [39] 1.2% -------------------------------------------------------------------------- for-loop [16] 39.2% simplify-expr [15] 60.8% [28] 5228(4.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [36] 100.0% -------------------------------------------------------------------------- ??? [6] 11.4% for-loop [18] 88.6% [29] 3522(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [112] 100.0% -------------------------------------------------------------------------- get-final-combination [21] 100.0% [30] 2928(2.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [128] 100.0% -------------------------------------------------------------------------- for-loop [22] 100.0% [31] 2446(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [112] 100.0% -------------------------------------------------------------------------- setup-prog [24] 100.0% [32] 218(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [33] 79674(66.5%) 2130(1.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [43] 53.2% loop [44] 40.7% apply-match [50] 3.1% -------------------------------------------------------------------------- run-iter! [26] 100.0% [34] 77590(64.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [42] 100.0% -------------------------------------------------------------------------- post-process [27] 100.0% [35] 9268(7.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [45] 100.0% -------------------------------------------------------------------------- loop [28] 100.0% [36] 5228(4.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [46] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [37] 3144(2.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [128] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [38] 1288(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [47] 100.0% -------------------------------------------------------------------------- post-process [27] 19.2% run-iter! [26] 20.3% loop [128] 60.5% [39] 1154(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [112] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [40] 644(0.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [48] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [41] 222(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [47] 100.0% -------------------------------------------------------------------------- simplify! [34] 100.0% [42] 77590(64.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [49] 99.1% debug-print [123] 0.9% -------------------------------------------------------------------------- for-loop [43] 49.5% one-iter [33] 50.5% [43] 42362(35.4%) 5680(4.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [43] 49.5% match-e [57] 42.8% ??? [93] 0.5% -------------------------------------------------------------------------- one-iter [33] 100.0% [44] 32460(27.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [50] 100.0% -------------------------------------------------------------------------- append-map [45] 0.7% parse-loop12 [120] 0.9% simplify-node [114] 2.8% f37 [102] 4.0% for-loop [35] 91.5% [45] 9268(7.7%) 422(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [51] 77.0% loop [128] 14.9% parse-loop12 [120] 3.9% f37 [102] 1.3% append-map [45] 0.7% -------------------------------------------------------------------------- pass [36] 100.0% [46] 5228(4.4%) 444(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [52] 43.0% loop [53] 28.4% for-loop [55] 20.1% -------------------------------------------------------------------------- debug7 [126] 11.8% choose-best-alt! [41] 13.0% finalize-iter! [38] 75.2% [47] 1712(1.4%) 202(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [54] 75.2% atab-pick-alt8 [56] 13.0% -------------------------------------------------------------------------- gen-series! [40] 100.0% [48] 644(0.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [51] 100.0% -------------------------------------------------------------------------- for-loop [42] 22.5% run [13] 37.2% [49] 118462(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 37.2% run-improve58 [2] 33.4% simplify [3] 22.5% loop [58] 7.0% -------------------------------------------------------------------------- one-iter [33] 7.2% loop [44] 92.8% [50] 34966(29.2%) 1542(1.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [67] 40.1% match-e [57] 19.0% for-loop [60] 13.5% mk-enode! [82] 6.9% loop! [137] 6.3% substitute-e [71] 4.4% update-leader! [79] 3.6% reduce-to-single! [63] 1.9% -------------------------------------------------------------------------- for-loop [48] 6.5% loop [128] 14.6% append-map [45] 78.9% [51] 9912(8.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [59] 100.0% -------------------------------------------------------------------------- for-loop [46] 100.0% [52] 2250(1.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [61] 90.2% for-loop [65] 9.8% -------------------------------------------------------------------------- for-loop [46] 100.0% [53] 1484(1.2%) 200(0.2%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [61] 86.5% -------------------------------------------------------------------------- ??? [47] 100.0% [54] 1288(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [62] 100.0% -------------------------------------------------------------------------- for-loop [46] 100.0% [55] 1050(0.9%) 1050(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- ??? [47] 100.0% [56] 222(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [64] 100.0% -------------------------------------------------------------------------- apply-match [50] 11.0% for-loop [76] 14.8% for-loop [43] 74.2% [57] 42920(35.8%) 24326(20.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [66] 37.9% for-loop [76] 6.8% loop [128] 3.0% list-cartesian-product [83] 2.9% constant? [109] 1.0% curry* [89] 0.5% -------------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [49] 97.5% [58] 16952(14.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [69] 45.1% make-exacts* [77] 41.0% loop [81] 13.9% -------------------------------------------------------------------------- taylor-alt [51] 100.0% [59] 9912(8.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [68] 100.0% -------------------------------------------------------------------------- apply-match [50] 100.0% [60] 4704(3.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [137] 40.6% substitute-e [71] 23.0% mk-enode! [82] 22.6% merge-egraph-nodes! [67] 13.7% -------------------------------------------------------------------------- loop [53] 38.7% argmin [52] 61.3% [61] 3314(2.8%) 200(0.2%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [70] 94.0% -------------------------------------------------------------------------- for-loop [54] 100.0% [62] 1288(1.1%) 202(0.2%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [72] 67.2% override-at-pnts [75] 17.1% -------------------------------------------------------------------------- apply-match [50] 100.0% [63] 660(0.6%) 240(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [73] 63.6% -------------------------------------------------------------------------- atab-pick-alt8 [56] 100.0% [64] 222(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [74] 100.0% -------------------------------------------------------------------------- argmin [52] 100.0% [65] 220(0.2%) 220(0.2%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- match-e [57] 100.0% [66] 20024(16.7%) 7144(6.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [76] 47.8% loop [128] 7.8% list-cartesian-product [83] 6.4% filter [86] 3.3% foldl [139] 1.0% curry* [89] 0.5% -------------------------------------------------------------------------- merge-egraph-nodes! [67] 2.9% for-loop [60] 4.4% apply-match [50] 92.7% [67] 14650(12.2%) 444(0.4%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [79] 55.5% loop! [137] 14.9% enode-merge! [84] 12.9% for-loop [85] 7.4% merge-egraph-nodes! [67] 2.9% for-loop [87] 2.8% -------------------------------------------------------------------------- location-do [68] 29.6% for-loop [59] 70.4% [68] 9912(8.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [78] 70.0% location-do [68] 29.6% simplify [80] 0.4% -------------------------------------------------------------------------- loop [58] 100.0% [69] 7642(6.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [81] 47.7% make-exacts* [77] 42.8% eval-prog [108] 9.4% -------------------------------------------------------------------------- expression-cost [61] 100.0% [70] 3114(2.6%) 220(0.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [112] 92.9% -------------------------------------------------------------------------- substitute-e [71] 22.6% for-loop [60] 33.4% apply-match [50] 44.0% [71] 2616(2.2%) 1304(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [82] 41.7% substitute-e [71] 22.6% constant? [109] 8.5% -------------------------------------------------------------------------- atab-add-altn [62] 100.0% [72] 866(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [105] 53.6% for-loop [88] 46.4% -------------------------------------------------------------------------- reduce-to-single! [63] 100.0% [73] 420(0.4%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 constant? [109] 52.4% -------------------------------------------------------------------------- ??? [64] 100.0% [74] 222(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [90] 100.0% -------------------------------------------------------------------------- atab-add-altn [62] 100.0% [75] 220(0.2%) 220(0.2%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 -------------------------------------------------------------------------- match-e [57] 31.7% for-loop [66] 68.3% [76] 15838(13.2%) 1650(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [57] 80.4% ??? [93] 9.2% -------------------------------------------------------------------------- loop [69] 32.0% loop [58] 68.0% [77] 10220(8.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [106] 55.9% loop [128] 41.9% eval-prog [108] 2.1% -------------------------------------------------------------------------- location-do [68] 100.0% [78] 9712(8.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [92] 80.9% f37 [102] 12.7% taylor-quotient [96] 4.1% taylor-sqrt [110] 2.3% -------------------------------------------------------------------------- apply-match [50] 13.1% merge-egraph-nodes! [67] 86.9% [79] 9606(8.0%) 216(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [91] 90.9% update-en-expr [145] 2.5% hash-ref! [112] 2.3% make-sequence [125] 2.1% -------------------------------------------------------------------------- location-do [68] 2.3% first-nonzero-exp [103] 2.3% taylor-sqrt [110] 2.5% for-loop [18] 4.5% for-loop [20] 7.0% hash-ref! [112] 81.4% [80] 8882(7.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [102] 49.3% parse-loop12 [120] 39.2% debug-print [123] 6.8% simplify* [100] 2.5% debug7 [126] 2.2% -------------------------------------------------------------------------- loop [58] 39.3% loop [69] 60.7% [81] 6010(5.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [106] 100.0% -------------------------------------------------------------------------- for-loop [60] 23.3% substitute-e [71] 23.9% apply-match [50] 52.8% [82] 4562(3.8%) 3298(2.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [94] 27.7% -------------------------------------------------------------------------- list-cartesian-product [83] 32.0% match-e [57] 33.4% for-loop [66] 34.6% [83] 3076(2.6%) 2634(2.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [83] 32.0% for-loop [98] 7.2% -------------------------------------------------------------------------- merge-egraph-nodes! [67] 100.0% [84] 1890(1.6%) 1048(0.9%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [95] 44.6% -------------------------------------------------------------------------- merge-egraph-nodes! [67] 100.0% [85] 1080(0.9%) 1080(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- for-loop [66] 100.0% [86] 884(0.7%) 884(0.7%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- merge-egraph-nodes! [67] 100.0% [87] 404(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [137] 100.0% -------------------------------------------------------------------------- best-and-tied-at-points [72] 100.0% [88] 402(0.3%) 402(0.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- for-loop [66] 50.0% match-e [57] 50.0% [89] 400(0.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [99] 100.0% -------------------------------------------------------------------------- best-alt [74] 100.0% [90] 222(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [97] 100.0% -------------------------------------------------------------------------- update-leader! [79] 100.0% [91] 8728(7.3%) 1018(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [101] 85.8% update-en-expr [145] 2.5% -------------------------------------------------------------------------- approximate9 [78] 100.0% [92] 7860(6.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [112] 100.0% -------------------------------------------------------------------------- for-loop [43] 21.6% for-loop [76] 78.4% [93] 1864(1.6%) 1044(0.9%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [104] 44.0% -------------------------------------------------------------------------- mk-enode! [82] 100.0% [94] 1264(1.1%) 1264(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- enode-merge! [84] 100.0% [95] 842(0.7%) 200(0.2%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [146] 76.2% -------------------------------------------------------------------------- approximate9 [78] 49.9% f37 [102] 50.1% [96] 806(0.7%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [103] 100.0% -------------------------------------------------------------------------- loop [90] 33.5% f37 [102] 66.5% [97] 662(0.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [102] 66.5% errors [105] 33.5% -------------------------------------------------------------------------- list-cartesian-product [83] 100.0% [98] 442(0.4%) 442(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- curry* [89] 100.0% [99] 400(0.3%) 400(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- simplify [80] 100.0% [100] 218(0.2%) 218(0.2%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 -------------------------------------------------------------------------- for-loop [91] 100.0% [101] 7488(6.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [107] 100.0% -------------------------------------------------------------------------- ??? [11] 0.6% loop [128] 0.7% for-loop [131] 0.9% composed [97] 1.4% simplify-node [114] 1.6% append-map [45] 3.0% hash-ref! [112] 4.8% parse-loop12 [120] 5.5% approximate9 [78] 8.2% f37 [102] 9.7% map [106] 17.7% simplify [80] 45.7% [102] 6246(5.2%) 1874(1.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [106] 41.0% f37 [102] 9.7% append-map [45] 6.7% parse-app [130] 3.6% taylor-quotient [96] 3.5% gather-multiplicative-terms [116] 3.2% compose [152] 3.2% taylor [115] 2.4% taylor-sqrt [110] 1.8% composed [97] 1.4% taylor-invert [12] 0.6% -------------------------------------------------------------------------- taylor-invert [12] 33.3% taylor-quotient [96] 66.7% [103] 1208(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [112] 83.4% simplify [80] 16.6% -------------------------------------------------------------------------- ??? [93] 100.0% [104] 820(0.7%) 602(0.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [109] 26.6% -------------------------------------------------------------------------- composed [97] 32.4% best-and-tied-at-points [72] 67.6% [105] 686(0.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [108] 67.6% for-loop [111] 32.4% -------------------------------------------------------------------------- gather-multiplicative-terms [116] 0.7% parse-loop12 [120] 4.1% f37 [102] 21.4% make-exacts* [77] 36.0% loop [81] 37.9% [106] 15878(13.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [128] 76.4% f37 [102] 9.7% simplify-node [114] 5.5% parse-loop12 [120] 3.0% ??? [11] 1.8% loop [117] 1.5% taylor-invert [12] 1.3% gather-multiplicative-terms [116] 0.7% taylor [115] 0.2% -------------------------------------------------------------------------- for-loop [101] 100.0% [107] 7488(6.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [113] 100.0% -------------------------------------------------------------------------- make-exacts* [77] 15.5% errors [105] 33.0% loop [69] 51.4% [108] 1404(1.2%) 464(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [112] 36.5% go [118] 15.5% inductor [166] 15.0% -------------------------------------------------------------------------- for-loop [104] 17.0% for-loop [73] 17.1% substitute-e [71] 17.3% match-e [57] 48.6% [109] 1284(1.1%) 1284(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- hash-ref! [112] 31.4% approximate9 [78] 34.2% f37 [102] 34.5% [110] 644(0.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [112] 65.8% simplify [80] 34.2% -------------------------------------------------------------------------- errors [105] 100.0% [111] 222(0.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? 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[107] 100.0% [113] 7488(6.3%) 222(0.2%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [119] 94.1% make-sequence [125] 3.0% -------------------------------------------------------------------------- map [106] 100.0% [114] 1022(0.9%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [45] 60.9% f37 [102] 19.6% combine-aterms [127] 19.6% -------------------------------------------------------------------------- map [106] 25.0% f37 [102] 75.0% [115] 808(0.7%) 202(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [123] 50.0% debug7 [126] 25.0% -------------------------------------------------------------------------- map [106] 16.7% f37 [102] 83.3% [116] 634(0.5%) 634(0.5%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [106] 16.7% -------------------------------------------------------------------------- map [106] 2.9% loop [117] 97.1% [117] 240(0.2%) 240(0.2%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [117] 97.1% -------------------------------------------------------------------------- eval-prog [108] 100.0% [118] 218(0.2%) 218(0.2%) go .../collects/racket/private/qq-and-or.rkt:50:20 -------------------------------------------------------------------------- ??? [113] 100.0% [119] 7044(5.9%) 5338(4.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [145] 24.2% -------------------------------------------------------------------------- loop [128] 3.7% map [106] 7.6% append-map [45] 13.8% hash-ref! [112] 18.9% parse-loop12 [120] 20.7% simplify [80] 35.4% [120] 6102(5.1%) 3088(2.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [120] 20.7% loop [128] 20.6% append-map [45] 5.3% for-loop [131] 5.2% f37 [102] 5.1% parse-app [130] 4.1% for-loop [135] 3.3% map [106] 1.9% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [121] 3128(2.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [112] 100.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [122] 2362(2.0%) 202(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [112] 74.0% loop [128] 21.7% -------------------------------------------------------------------------- taylor [115] 24.1% simplify [80] 36.0% for-loop [42] 39.9% [123] 1674(1.4%) 402(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [129] 76.0% -------------------------------------------------------------------------- hash-ref! [112] 100.0% [124] 512(0.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [132] 57.8% sig+exp->bigfloat [133] 42.2% -------------------------------------------------------------------------- update-leader! [79] 47.4% ??? [113] 52.6% [125] 422(0.4%) 422(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- simplify [80] 49.5% taylor [115] 50.5% [126] 400(0.3%) 198(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? 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[163] 0.0% -------------------------------------------------------------------------- debug-print [123] 100.0% [129] 1272(1.1%) 1050(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 write-proc [142] 17.5% -------------------------------------------------------------------------- f37 [102] 35.5% parse-loop12 [120] 64.5% [130] 626(0.5%) 424(0.4%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [143] 32.3% -------------------------------------------------------------------------- parse-loop12 [120] 100.0% [131] 420(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f37 [102] 52.4% make-multiplication-node [141] 47.6% -------------------------------------------------------------------------- bigfloat-hash [124] 100.0% [132] 296(0.2%) 296(0.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- bigfloat-hash [124] 100.0% [133] 216(0.2%) 216(0.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 -------------------------------------------------------------------------- combine-aterms [127] 100.0% [134] 200(0.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 -------------------------------------------------------------------------- parse-loop12 [120] 100.0% [135] 200(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:80:11 make-multiplication-node [141] 100.0% -------------------------------------------------------------------------- for-loop [111] 1.4% loop [128] 98.6% [136] 16234(13.6%) 686(0.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [144] 74.7% real->bigfloat [147] 19.7% -------------------------------------------------------------------------- for-loop [87] 4.4% for-loop [60] 14.1% apply-match [50] 22.8% merge-egraph-nodes! [67] 27.4% loop [128] 31.3% [137] 6814(5.7%) 884(0.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [146] 38.4% loop [128] 31.3% update-en-expr [145] 12.5% set [149] 11.3% -------------------------------------------------------------------------- loop [128] 100.0% [138] 3144(2.6%) 420(0.4%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [150] 40.3% eval-const-expr [151] 33.0% compose [152] 13.4% -------------------------------------------------------------------------- for-loop [66] 10.6% loop [128] 89.4% [139] 1886(1.6%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [148] 100.0% -------------------------------------------------------------------------- loop [128] 47.6% ??? [11] 52.4% [140] 424(0.4%) 424(0.4%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- for-loop [135] 50.0% for-loop [131] 50.0% [141] 400(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [153]100.0% -------------------------------------------------------------------------- for-loop [129] 100.0% [142] 222(0.2%) 222(0.2%) write-proc ...lock/herbie/src/alternative.rkt:22:9 -------------------------------------------------------------------------- loop [143] 50.0% parse-app [130] 50.0% [143] 202(0.2%) 202(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [143] 50.0% -------------------------------------------------------------------------- ??? [136] 100.0% [144] 12128(10.1%) 508(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [163] 58.4% ...higher-order.rkt:373:33 [154] 19.0% bf* [156] 10.4% bf> [157] 5.9% ...higher-order.rkt:369:33 [161] 2.1% -------------------------------------------------------------------------- for-loop [91] 6.0% update-leader! [79] 6.5% loop! [137] 41.5% for-loop [119] 46.1% [145] 3704(3.1%) 3704(3.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- adopt-enode! [95] 19.1% loop! [137] 80.9% [146] 3362(2.8%) 1026(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [155] 51.5% for-loop [158] 18.0% -------------------------------------------------------------------------- ??? [136] 100.0% [147] 3198(2.7%) 2986(2.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [171] 6.6% -------------------------------------------------------------------------- foldl [139] 100.0% [148] 1886(1.6%) 1886(1.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- loop! [137] 100.0% [149] 1674(1.4%) 1674(1.4%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- for-loop [138] 100.0% [150] 1266(1.1%) 1064(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [162] 16.0% -------------------------------------------------------------------------- for-loop [138] 100.0% [151] 1038(0.9%) 200(0.2%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [159] 40.5% ??? [163] 40.3% -------------------------------------------------------------------------- f37 [102] 32.3% for-loop [138] 67.7% [152] 620(0.5%) 620(0.5%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- make-multiplication-node [141] 100.0% [153] 400(0.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [160] 100.0% -------------------------------------------------------------------------- loop [128] 17.0% ??? [144] 83.0% [154] 2776(2.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [164] 82.3% ??? [168] 17.7% -------------------------------------------------------------------------- custom-set-union [146] 100.0% [155] 1730(1.4%) 442(0.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [165] 74.5% -------------------------------------------------------------------------- ??? [144] 100.0% [156] 1260(1.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? 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[168] 100.0% -------------------------------------------------------------------------- setfindf [150] 100.0% [162] 202(0.2%) 202(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- loop [128] 2.4% eval-const-expr [151] 4.7% bf* [156] 14.0% ??? [144] 78.9% [163] 8986(7.5%) 654(0.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [167] 72.7% ??? [170] 20.0% -------------------------------------------------------------------------- ...higher-order.rkt:373:33 [154] 100.0% [164] 2286(1.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [168] 100.0% -------------------------------------------------------------------------- for-loop [155] 100.0% [165] 1288(1.1%) 1288(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- eval-prog [108] 11.1% expression-induct31 [159] 33.3% inductor [166] 55.6% [166] 630(0.5%) 200(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [166] 55.6% integer->bigfloat [169] 28.6% -------------------------------------------------------------------------- ??? [163] 100.0% [167] 6536(5.5%) 4198(3.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [171] 35.8% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [161] 8.3% ...higher-order.rkt:373:33 [154] 16.2% ??? [164] 75.5% [168] 3026(2.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [170] 100.0% -------------------------------------------------------------------------- inductor [166] 100.0% [169] 430(0.4%) 210(0.2%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ??? [171] 51.2% -------------------------------------------------------------------------- bf> [157] 9.3% ??? [163] 33.8% ??? [168] 56.9% [170] 5314(4.4%) 2802(2.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [172] 38.6% ??? [173] 8.7% -------------------------------------------------------------------------- real->bigfloat [147] 7.7% integer->bigfloat [169] 7.9% bfadd [167] 84.4% [171] 2770(2.3%) 2770(2.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [170] 100.0% [172] 2052(1.7%) 734(0.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [174] 64.2% -------------------------------------------------------------------------- ??? [170] 100.0% [173] 460(0.4%) 460(0.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [172] 100.0% [174] 1318(1.1%) 1318(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------