Profiling results ----------------- Total cpu time observed: 140968ms (out of 142564ms) Number of samples taken: 599 (once every 235ms) (Hiding functions with self<1.0% and local<2.0%: 10 of 196 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [56] 100.0% [1] 132836(94.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% -------------------------------------------------------------------------- ??? [56] 100.0% [2] 70122(49.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [13] 50.8% finalize-table! [14] 37.2% loop [69] 6.3% get-final-combination [17] 5.0% setup-prog [20] 0.7% -------------------------------------------------------------------------- simplify-alt [29] 1.3% loop [113] 9.2% ??? [56] 89.5% [3] 35882(25.5%) 200(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 47.2% iterate-egraph!5 [22] 29.3% for-loop [15] 21.2% loop [25] 1.7% -------------------------------------------------------------------------- hash-ref! [132] 100.0% [4] 21608(15.3%) 198(0.1%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [113] 89.1% hash-ref! [132] 10.8% -------------------------------------------------------------------------- post-process [24] 2.1% loop [113] 97.9% [5] 18840(13.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [12] 100.0% -------------------------------------------------------------------------- loop [6] 23.4% location-do [84] 76.6% [6] 3154(2.2%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [16] 50.0% loop [6] 23.4% location-do [84] 20.3% simplify [125] 6.3% -------------------------------------------------------------------------- hash-ref! [132] 100.0% [7] 862(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [18] 100.0% -------------------------------------------------------------------------- hash-ref! [132] 100.0% [8] 662(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% -------------------------------------------------------------------------- f94 [162] 100.0% [9] 654(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [125] 66.7% first-nonzero-exp [39] 33.3% -------------------------------------------------------------------------- f94 [162] 100.0% [10] 428(0.3%) 220(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [21] 48.6% -------------------------------------------------------------------------- profile-thunk14 [1] 99.3% [11] 133718(94.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [56] 100.0% -------------------------------------------------------------------------- simplify [3] 47.3% completely-simplify-alt [5] 52.7% [12] 35772(25.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 90.3% loop [25] 9.1% ormap [31] 0.6% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 35600(25.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 26084(18.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [24] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [15] 7624(5.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 96.9% loop [25] 3.1% -------------------------------------------------------------------------- loop [6] 46.7% location-do [84] 53.3% [16] 3586(2.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [162] 47.1% loop [27] 41.2% taylor-quotient [28] 11.7% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 3518(2.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [26] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [18] 862(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [132] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [19] 662(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [30] 50.2% hash-ref! [132] 49.8% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 480(0.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [29] 100.0% -------------------------------------------------------------------------- combine-mterms [10] 100.0% [21] 208(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [132] 100.0% -------------------------------------------------------------------------- for-loop [15] 14.7% simplify [3] 20.9% simplify-expr [12] 64.4% [22] 50194(35.6%) 644(0.5%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [32] 96.2% map-enodes [38] 2.1% debug-print [134] 0.4% -------------------------------------------------------------------------- for-loop [13] 100.0% [23] 35600(25.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [33] 90.2% finalize-iter! [37] 6.1% localize-error [36] 1.2% gen-series! [40] 1.2% gen-rewrites! [42] 0.6% choose-best-alt! [43] 0.6% -------------------------------------------------------------------------- finalize-table! [14] 100.0% [24] 26084(18.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [113] 77.0% for-loop [35] 13.7% ??? [48] 6.1% localize-error [36] 1.8% completely-simplify-alt [5] 1.5% -------------------------------------------------------------------------- for-loop [15] 5.8% simplify [3] 15.0% simplify-expr [12] 79.2% [25] 4128(2.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [34] 100.0% -------------------------------------------------------------------------- get-final-combination [17] 100.0% [26] 3518(2.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [113] 93.7% loop [41] 6.3% -------------------------------------------------------------------------- approximate9 [16] 100.0% [27] 1476(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [132] 100.0% -------------------------------------------------------------------------- f94 [162] 34.6% approximate9 [16] 65.4% [28] 642(0.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [39] 65.4% simplify [125] 34.6% -------------------------------------------------------------------------- setup-prog [20] 100.0% [29] 480(0.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- for-loop [19] 100.0% [30] 442(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [132] 100.0% -------------------------------------------------------------------------- loop [44] 50.0% simplify-expr [12] 50.0% [31] 200(0.1%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:106:13 loop [44] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [32] 48282(34.3%) 2262(1.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [46] 58.3% loop [47] 35.7% apply-match [57] 1.3% -------------------------------------------------------------------------- run-iter! [23] 100.0% [33] 32104(22.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 100.0% -------------------------------------------------------------------------- loop [25] 100.0% [34] 4128(2.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 94.6% for-loop [54] 5.4% -------------------------------------------------------------------------- post-process [24] 100.0% [35] 3568(2.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [50] 100.0% -------------------------------------------------------------------------- run-iter! [23] 17.4% post-process [24] 18.2% loop [113] 64.4% [36] 2536(1.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [132] 64.7% location-hash [51] 18.2% sort [53] 17.0% -------------------------------------------------------------------------- run-iter! [23] 100.0% [37] 2178(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [48] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [38] 1048(0.7%) 202(0.1%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [113] 80.7% -------------------------------------------------------------------------- taylor-invert [9] 34.2% taylor-quotient [28] 65.8% [39] 638(0.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [132] 65.8% simplify [125] 34.2% -------------------------------------------------------------------------- run-iter! [23] 100.0% [40] 436(0.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [52] 100.0% -------------------------------------------------------------------------- extract-alt [26] 100.0% [41] 220(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 errors-score [76] 100.0% -------------------------------------------------------------------------- run-iter! [23] 100.0% [42] 220(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [55] 100.0% -------------------------------------------------------------------------- run-iter! [23] 100.0% [43] 220(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [48] 100.0% -------------------------------------------------------------------------- ormap [31] 100.0% [44] 200(0.1%) 200(0.1%) loop ...ket/collects/racket/private/map.rkt:113:23 ormap [31] 50.0% -------------------------------------------------------------------------- simplify! [33] 100.0% [45] 32104(22.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [56] 100.0% -------------------------------------------------------------------------- for-loop [46] 48.9% one-iter [32] 51.1% [46] 28146(20.0%) 7586(5.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [46] 48.9% match-e [70] 35.5% ??? [106] 1.1% -------------------------------------------------------------------------- one-iter [32] 100.0% [47] 17252(12.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [57] 100.0% -------------------------------------------------------------------------- choose-best-alt! [43] 5.5% post-process [24] 39.7% finalize-iter! [37] 54.7% [48] 3980(2.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [59] 94.5% atab-pick-alt8 [65] 5.5% -------------------------------------------------------------------------- pass [34] 100.0% [49] 3906(2.8%) 468(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [60] 44.1% loop [61] 22.2% for-loop [62] 16.3% make-sequence [147] 5.5% -------------------------------------------------------------------------- append-map [50] 1.9% simplify-node [157] 1.9% f94 [162] 7.3% for-loop [35] 88.9% [50] 3568(2.5%) 222(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [58] 45.7% loop [113] 43.2% f94 [162] 2.8% append-map [50] 1.9% parse-loop12 [144] 1.9% free-variables [68] 1.4% -------------------------------------------------------------------------- localize-error [36] 100.0% [51] 462(0.3%) 0(0.0%) location-hash ...lock/herbie/src/programs.rkt:45:0 inductor [63] 100.0% -------------------------------------------------------------------------- gen-series! [40] 100.0% [52] 436(0.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [58] 100.0% -------------------------------------------------------------------------- localize-error [36] 100.0% [53] 432(0.3%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [64] 51.4% loop [67] 48.6% -------------------------------------------------------------------------- pass [34] 100.0% [54] 222(0.2%) 222(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:176:2 -------------------------------------------------------------------------- gen-rewrites! [42] 100.0% [55] 220(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [66] 100.0% -------------------------------------------------------------------------- for-loop [45] 8.0% run [11] 45.5% [56] 136470(96.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.9% loop [69] 24.5% run-improve58 [2] 22.6% simplify [3] 8.0% -------------------------------------------------------------------------- one-iter [32] 3.5% loop [47] 96.5% [57] 17874(12.7%) 1072(0.8%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [83] 37.9% match-e [70] 19.4% for-loop [74] 10.6% update-leader! [96] 7.3% reduce-to-single! [75] 5.9% mk-enode! [98] 5.9% loop! [127] 3.6% substitute-e [87] 3.5% -------------------------------------------------------------------------- for-loop [52] 10.9% loop [113] 41.9% append-map [50] 47.3% [58] 4004(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [71] 100.0% -------------------------------------------------------------------------- ??? [48] 100.0% [59] 3760(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [72] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [60] 1722(1.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [73] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [61] 866(0.6%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [73] 100.0% -------------------------------------------------------------------------- for-loop [49] 100.0% [62] 636(0.5%) 636(0.5%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [78] 6.0% location-hash [51] 14.7% inductor [63] 79.4% [63] 462(0.3%) 220(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:24:2 inductor [63] 79.4% save [77] 8.7% for-loop [78] 6.0% -------------------------------------------------------------------------- sort [53] 100.0% [64] 222(0.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [76] 100.0% -------------------------------------------------------------------------- ??? [48] 100.0% [65] 220(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [80] 100.0% -------------------------------------------------------------------------- for-loop [55] 100.0% [66] 220(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [79] 100.0% -------------------------------------------------------------------------- sort [53] 100.0% [67] 210(0.1%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [76] 100.0% -------------------------------------------------------------------------- append-map [50] 100.0% [68] 200(0.1%) 0(0.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [88] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 6.3% ??? [56] 93.7% [69] 70788(50.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [81] 58.0% make-exacts* [94] 29.6% loop [95] 12.4% -------------------------------------------------------------------------- apply-match [57] 11.6% for-loop [97] 11.8% for-loop [46] 76.6% [70] 23416(16.6%) 14146(10.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [82] 28.8% for-loop [97] 8.4% list-cartesian-product [99] 3.4% loop [113] 3.1% constant? [88] 2.6% -------------------------------------------------------------------------- taylor-alt [58] 100.0% [71] 4004(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [84] 100.0% -------------------------------------------------------------------------- for-loop [59] 100.0% [72] 3760(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [85] 100.0% -------------------------------------------------------------------------- loop [61] 33.5% argmin [60] 66.5% [73] 2588(1.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [86] 100.0% -------------------------------------------------------------------------- apply-match [57] 100.0% [74] 1902(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [127] 34.7% merge-egraph-nodes! [83] 33.6% substitute-e [87] 31.7% -------------------------------------------------------------------------- apply-match [57] 100.0% [75] 1052(0.7%) 630(0.4%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [90] 20.9% for-loop [93] 19.2% -------------------------------------------------------------------------- loop [67] 32.2% loop [41] 33.7% jloop [64] 34.0% [76] 652(0.5%) 430(0.3%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [89] 34.0% -------------------------------------------------------------------------- inductor [63] 100.0% [77] 242(0.2%) 242(0.2%) save /home/ztatlock/herbie/src/programs.rkt:48:2 -------------------------------------------------------------------------- inductor [63] 100.0% [78] 220(0.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/programs.rkt:40:23 inductor [63] 100.0% -------------------------------------------------------------------------- ??? [66] 33.3% matcher [101] 66.7% [79] 220(0.2%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [91] 100.0% -------------------------------------------------------------------------- atab-pick-alt8 [65] 100.0% [80] 220(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [92] 100.0% -------------------------------------------------------------------------- loop [69] 100.0% [81] 41064(29.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [94] 41.4% eval-prog [123] 29.3% loop [95] 29.3% -------------------------------------------------------------------------- match-e [70] 100.0% [82] 8254(5.9%) 3412(2.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [97] 46.0% list-cartesian-product [99] 12.5% curried [175] 2.7% -------------------------------------------------------------------------- merge-egraph-nodes! [83] 2.7% for-loop [74] 8.6% apply-match [57] 87.6% [83] 7412(5.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [96] 76.3% enode-merge! [100] 11.1% loop! [127] 6.0% for-loop [103] 2.7% merge-egraph-nodes! [83] 2.7% -------------------------------------------------------------------------- loop [6] 5.4% for-loop [71] 23.1% location-do [84] 71.5% [84] 4004(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [84] 71.5% loop [6] 17.1% approximate9 [16] 9.5% simplify [125] 1.8% -------------------------------------------------------------------------- atab-add-altn [72] 100.0% [85] 3760(2.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [115] 100.0% -------------------------------------------------------------------------- expression-cost [73] 100.0% [86] 2588(1.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [132] 100.0% -------------------------------------------------------------------------- substitute-e [87] 11.0% apply-match [57] 39.9% for-loop [74] 49.1% [87] 1226(0.9%) 402(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [98] 67.2% substitute-e [87] 11.0% -------------------------------------------------------------------------- free-variables [68] 24.4% match-e [70] 75.6% [88] 820(0.6%) 820(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- errors-score [76] 100.0% [89] 222(0.2%) 222(0.2%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------- reduce-to-single! [75] 100.0% [90] 220(0.2%) 220(0.2%) for-loop ...lock/herbie/src/core/egraph.rkt:328:21 -------------------------------------------------------------------------- rewriter [79] 100.0% [91] 220(0.2%) 220(0.2%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [101] 66.7% -------------------------------------------------------------------------- ??? [80] 100.0% [92] 220(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [102] 100.0% -------------------------------------------------------------------------- reduce-to-single! [75] 100.0% [93] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- loop [81] 44.8% loop [69] 55.2% [94] 37954(26.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [113] 39.9% map [104] 39.4% eval-prog [123] 20.6% -------------------------------------------------------------------------- loop [69] 42.1% loop [81] 57.9% [95] 20786(14.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [104] 100.0% -------------------------------------------------------------------------- apply-match [57] 18.0% merge-egraph-nodes! [83] 82.0% [96] 7244(5.1%) 1704(1.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [105] 67.9% custom-set-union! [110] 5.8% update-en-expr [154] 2.8% -------------------------------------------------------------------------- match-e [70] 45.5% for-loop [82] 54.5% [97] 7142(5.1%) 644(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [70] 74.9% ??? [106] 16.1% -------------------------------------------------------------------------- substitute-e [87] 44.1% apply-match [57] 55.9% [98] 1870(1.3%) 824(0.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [107] 33.4% hash-has-key? [108] 22.6% -------------------------------------------------------------------------- match-e [70] 27.3% for-loop [82] 33.6% list-cartesian-product [99] 39.1% [99] 1838(1.3%) 1838(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [99] 39.1% -------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [100] 826(0.6%) 202(0.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [109] 51.1% adopt-enode! [112] 24.5% -------------------------------------------------------------------------- matcher [101] 50.0% for-loop [91] 50.0% [101] 220(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 matcher [101] 50.0% rewriter [79] 50.0% -------------------------------------------------------------------------- best-alt [92] 100.0% [102] 220(0.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [111] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [83] 100.0% [103] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------- ??? [116] 0.2% parse-loop12 [144] 3.2% f94 [162] 5.6% make-exacts* [94] 38.1% loop [95] 52.9% [104] 39288(27.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [113] 89.9% ??? [116] 3.4% f94 [162] 2.9% parse-loop12 [144] 1.5% ??? [131] 1.1% loop [120] 0.5% simplify-node [157] 0.3% ??? [166] 0.2% ->flonum [145] 0.2% -------------------------------------------------------------------------- update-leader! [96] 100.0% [105] 4918(3.5%) 200(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [114] 95.9% -------------------------------------------------------------------------- for-loop [46] 32.6% for-loop [97] 67.4% [106] 1854(1.3%) 1050(0.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [117] 43.4% -------------------------------------------------------------------------- mk-enode! [98] 100.0% [107] 624(0.4%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [118] 67.6% mutable-set [121] 32.4% -------------------------------------------------------------------------- mk-enode! [98] 100.0% [108] 422(0.3%) 422(0.3%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- enode-merge! [100] 100.0% [109] 422(0.3%) 422(0.3%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------- update-leader! [96] 100.0% [110] 422(0.3%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [119] 100.0% -------------------------------------------------------------------------- f94 [162] 47.6% argmins [102] 52.4% [111] 420(0.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [115] 52.4% f94 [162] 47.6% -------------------------------------------------------------------------- enode-merge! [100] 100.0% [112] 202(0.1%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [122] 100.0% -------------------------------------------------------------------------- map-enodes [38] 0.0% make-exacts* [94] 0.1% loop! [127] 0.3% parse-loop12 [144] 0.4% match-e [70] 0.9% map [104] 1.0% f94 [162] 1.1% append-map [50] 1.7% post-process [24] 2.0% extract-alt [26] 2.1% ??? [4] 18.4% loop [113] 72.0% [113] 99114(70.3%) 680(0.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [113] 72.0% hash-ref! [132] 18.4% simplify [3] 2.1% taylor-alt [58] 1.7% completely-simplify-alt [5] 1.4% ??? [131] 1.1% simplify [125] 1.1% localize-error [36] 0.6% ??? [116] 0.4% loop! [127] 0.3% foldl [130] 0.2% ??? [155] 0.0% for-loop [128] 0.0% bffma [151] 0.0% ??? [166] 0.0% ->flonum [145] 0.0% -------------------------------------------------------------------------- for-loop [105] 100.0% [114] 4718(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [124] 100.0% -------------------------------------------------------------------------- composed [111] 5.5% best-and-tied-at-points [85] 94.5% [115] 3980(2.8%) 652(0.5%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [126] 59.8% eval-prog [123] 23.8% -------------------------------------------------------------------------- map [104] 47.1% loop [113] 52.9% [116] 2284(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [132] 69.5% f94 [162] 28.1% map [104] 2.4% -------------------------------------------------------------------------- ??? [106] 100.0% [117] 804(0.6%) 804(0.6%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- new-enode [107] 100.0% [118] 422(0.3%) 422(0.3%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- custom-set-union! [110] 100.0% [119] 422(0.3%) 422(0.3%) for-loop ...cts/racket/private/set-types.rkt:254:4 -------------------------------------------------------------------------- map [104] 4.2% loop [120] 95.8% [120] 210(0.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [120] 95.8% ??? [129] 4.2% -------------------------------------------------------------------------- new-enode [107] 100.0% [121] 202(0.1%) 202(0.1%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------- adopt-enode! [112] 100.0% [122] 202(0.1%) 202(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 -------------------------------------------------------------------------- errors [115] 4.5% make-exacts* [94] 37.6% loop [81] 57.8% [123] 20828(14.8%) 464(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [132] 95.5% ??? [137] 1.2% -------------------------------------------------------------------------- for-loop [114] 100.0% [124] 4718(3.3%) 220(0.2%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [133] 95.3% -------------------------------------------------------------------------- loop [6] 5.5% first-nonzero-exp [39] 6.1% location-do [84] 6.1% taylor-quotient [28] 6.2% taylor-invert [9] 12.1% loop [113] 29.0% hash-ref! [132] 35.0% [125] 3602(2.6%) 202(0.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [162] 35.0% parse-loop12 [144] 23.5% debug-print [134] 17.8% debug7 [174] 12.1% ??? [138] 5.9% -------------------------------------------------------------------------- errors [115] 100.0% [126] 2382(1.7%) 220(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [131] 72.2% ulp-difference [136] 18.6% -------------------------------------------------------------------------- merge-egraph-nodes! [83] 12.7% for-loop [74] 16.8% apply-match [57] 22.8% loop [113] 47.7% [127] 1746(1.2%) 1104(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [113] 47.7% update-en-expr [154] 22.8% -------------------------------------------------------------------------- loop [113] 100.0% [128] 846(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [135] 52.5% ->flonum [145] 23.9% curried [175] 23.6% -------------------------------------------------------------------------- loop [120] 100.0% [129] 210(0.1%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [145] 100.0% -------------------------------------------------------------------------- loop [113] 100.0% [130] 202(0.1%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [139] 100.0% -------------------------------------------------------------------------- map [104] 0.8% for-loop [126] 3.2% loop [113] 95.9% [131] 53106(37.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [140] 90.5% real->bigfloat [143] 7.8% ??? [180] 1.2% ->flonum [145] 0.4% -------------------------------------------------------------------------- for-loop [21] 0.3% for-loop [19] 0.3% ??? [30] 0.4% for-loop [18] 0.7% first-nonzero-exp [39] 0.9% localize-error [36] 1.7% loop [27] 1.8% compile [86] 4.0% ??? [116] 4.6% ??? [4] 6.0% eval-prog [123] 24.7% loop [113] 51.8% [132] 26008(18.4%) 2598(1.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 58.1% bigfloat-hash [141] 24.5% parse-loop12 [144] 6.2% simplify [125] 1.6% f94 [162] 1.2% ??? [8] 0.7% ??? [7] 0.7% -------------------------------------------------------------------------- hash-update! [124] 100.0% [133] 4498(3.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [142] 95.5% make-sequence [147] 4.5% -------------------------------------------------------------------------- iterate-egraph!5 [22] 25.5% simplify [125] 74.5% [134] 862(0.6%) 220(0.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [146] 74.5% -------------------------------------------------------------------------- for-loop [128] 100.0% [135] 444(0.3%) 444(0.3%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 -------------------------------------------------------------------------- for-loop [126] 100.0% [136] 442(0.3%) 442(0.3%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 -------------------------------------------------------------------------- eval-prog [123] 100.0% [137] 242(0.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [148] 100.0% -------------------------------------------------------------------------- simplify [125] 100.0% [138] 214(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [149] 100.0% -------------------------------------------------------------------------- foldl [130] 100.0% [139] 202(0.1%) 202(0.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- ??? [131] 100.0% [140] 48078(34.1%) 1808(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [166] 35.3% bffma [151] 28.8% ...higher-order.rkt:373:33 [152] 15.2% bf* [160] 12.1% ...ow-val-first.rkt:357:18 [161] 2.5% bfcube [156] 1.4% ??? [155] 0.9% -------------------------------------------------------------------------- hash-ref! [132] 100.0% [141] 19644(13.9%) 212(0.2%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [150] 74.2% sig+exp->bigfloat [153] 23.6% bigfloat->sig+exp [163] 1.1% -------------------------------------------------------------------------- ??? [133] 100.0% [142] 4296(3.0%) 3672(2.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [154] 14.5% -------------------------------------------------------------------------- ??? [131] 100.0% [143] 4168(3.0%) 3694(2.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [177] 11.4% -------------------------------------------------------------------------- f94 [162] 3.1% append-map [50] 6.0% simplify [125] 19.0% map [104] 22.6% hash-ref! [132] 49.3% [144] 3332(2.4%) 420(0.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [113] 34.8% f94 [162] 22.3% map [104] 14.5% for-loop [158] 9.1% simplify-node [157] 6.7% -------------------------------------------------------------------------- for-loop [128] 18.3% ??? [129] 19.1% map [104] 20.0% ??? [131] 20.1% loop [113] 22.5% [145] 1102(0.8%) 670(0.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [155] 20.1% ??? [183] 19.1% -------------------------------------------------------------------------- debug-print [134] 100.0% [146] 642(0.5%) 642(0.5%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- ??? [133] 48.6% for-loop [49] 51.4% [147] 416(0.3%) 416(0.3%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- ??? [137] 100.0% [148] 242(0.2%) 242(0.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- ??? [138] 100.0% [149] 214(0.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [159] 100.0% -------------------------------------------------------------------------- bigfloat-hash [141] 100.0% [150] 14570(10.3%) 14346(10.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [163] 1.5% -------------------------------------------------------------------------- loop [113] 3.1% ??? [140] 96.9% [151] 14318(10.2%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [160] 78.0% ...ow-val-first.rkt:357:18 [161] 22.0% -------------------------------------------------------------------------- ??? [140] 100.0% [152] 7284(5.2%) 232(0.2%) ...higher-order.rkt:373:33 (unknown source) ??? [167] 72.0% ??? [180] 24.8% -------------------------------------------------------------------------- bigfloat-hash [141] 100.0% [153] 4640(3.3%) 3754(2.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [177] 14.4% integer->mpz [164] 4.7% -------------------------------------------------------------------------- update-leader! [96] 13.6% for-loop [142] 42.6% loop! [127] 43.8% [154] 1466(1.0%) 1466(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- loop [113] 25.1% ->flonum [145] 25.3% ??? [140] 49.5% [155] 876(0.6%) 876(0.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- ??? [140] 100.0% [156] 694(0.5%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [160] 100.0% -------------------------------------------------------------------------- parse-loop12 [144] 35.2% map [104] 64.8% [157] 630(0.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f94 [162] 68.3% append-map [50] 31.7% -------------------------------------------------------------------------- parse-loop12 [144] 100.0% [158] 408(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f94 [162] 51.0% make-multiplication-node [165] 49.0% -------------------------------------------------------------------------- for-loop [149] 100.0% [159] 214(0.2%) 214(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------- bfcube [156] 3.9% ??? [140] 32.9% bffma [151] 63.2% [160] 17676(12.5%) 202(0.1%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [166] 98.9% -------------------------------------------------------------------------- ??? [140] 27.7% bffma [151] 72.3% [161] 4350(3.1%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [167] 100.0% -------------------------------------------------------------------------- composed [111] 0.7% for-loop [158] 0.8% append-map [50] 1.4% simplify-node [157] 2.0% ??? [116] 3.6% parse-loop12 [144] 9.5% simplify [125] 12.1% approximate9 [16] 13.5% f94 [162] 17.2% map [104] 19.1% hash-ref! [132] 20.2% [162] 3668(2.6%) 438(0.3%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [104] 43.9% f94 [162] 17.2% loop [113] 10.9% taylor-invert [9] 6.9% taylor [168] 6.9% append-map [50] 3.3% combine-mterms [10] 2.8% gather-multiplicative-terms [171] 1.4% taylor-quotient [28] 1.2% parse-loop12 [144] 0.8% composed [111] 0.7% -------------------------------------------------------------------------- bigfloat-hash [141] 49.8% bfcanonicalize [150] 50.2% [163] 446(0.3%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [169] 50.2% new-mpz [170] 49.8% -------------------------------------------------------------------------- sig+exp->bigfloat [153] 100.0% [164] 220(0.2%) 220(0.2%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- for-loop [158] 100.0% [165] 200(0.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [172]100.0% -------------------------------------------------------------------------- loop [113] 0.7% map [104] 0.8% ??? [140] 48.5% bf* [160] 49.9% [166] 34992(24.8%) 5012(3.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [173] 74.3% ??? [183] 10.5% -------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [161] 45.3% ...higher-order.rkt:373:33 [152] 54.7% [167] 9598(6.8%) 766(0.5%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [180] 92.0% -------------------------------------------------------------------------- f94 [162] 100.0% [168] 402(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [174] 100.0% -------------------------------------------------------------------------- bigfloat->sig+exp [163] 100.0% [169] 224(0.2%) 224(0.2%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 -------------------------------------------------------------------------- bigfloat->sig+exp [163] 100.0% [170] 222(0.2%) 222(0.2%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------- f94 [162] 100.0% [171] 200(0.1%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 curried [175] 100.0% -------------------------------------------------------------------------- make-multiplication-node [165] 100.0% [172] 200(0.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [176] 100.0% -------------------------------------------------------------------------- ??? [166] 100.0% [173] 26010(18.5%) 20024(14.2%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [177] 23.0% -------------------------------------------------------------------------- taylor [168] 48.0% simplify [125] 52.0% [174] 838(0.6%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [178] 50.1% ??? [179] 49.9% -------------------------------------------------------------------------- gather-multiplicative-terms [171] 32.2% for-loop [128] 32.2% for-loop [82] 35.7% [175] 622(0.4%) 622(0.4%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- make-multiplication-subnode [172]100.0% [176] 200(0.1%) 200(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- real->bigfloat [143] 6.7% sig+exp->bigfloat [153] 9.3% bfmul [173] 84.0% [177] 7126(5.1%) 7126(5.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- debug7 [174] 100.0% [178] 420(0.3%) 204(0.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [182] 51.4% -------------------------------------------------------------------------- debug7 [174] 100.0% [179] 418(0.3%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [181] 52.6% ??? [180] 47.4% -------------------------------------------------------------------------- ??? [179] 1.7% ??? [131] 5.6% ...higher-order.rkt:373:33 [152] 15.7% ??? [167] 77.0% [180] 11472(8.1%) 880(0.6%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [183] 90.6% -------------------------------------------------------------------------- ??? [179] 100.0% [181] 220(0.2%) 220(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------- return/no-unsupplied [178] 100.0% [182] 216(0.2%) 216(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- ->flonum [145] 1.5% ??? [166] 25.8% ??? [180] 72.7% [183] 14290(10.1%) 7572(5.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [184] 44.1% ??? [185] 2.9% -------------------------------------------------------------------------- ??? [183] 100.0% [184] 6300(4.5%) 3288(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [186] 47.8% -------------------------------------------------------------------------- ??? [183] 100.0% [185] 418(0.3%) 418(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [184] 100.0% [186] 3012(2.1%) 3012(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------