Profiling results ----------------- Total cpu time observed: 170538ms (out of 172164ms) Number of samples taken: 729 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 206 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [59] 100.0% [1] 161164(94.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------------- ??? [59] 100.0% [2] 95078(55.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [16] 64.8% finalize-table! [18] 27.3% loop [71] 4.1% get-final-combination [23] 3.2% setup-prog [27] 0.5% -------------------------------------------------------------------------- simplify-alt [38] 0.7% loop [126] 5.0% ??? [59] 94.3% [3] 61100(35.8%) 160(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 54.1% for-loop [19] 26.7% iterate-egraph!5 [30] 16.5% loop [33] 2.5% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [4] 25800(15.1%) 198(0.1%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [126] 80.0% hash-ref! [141] 19.7% -------------------------------------------------------------------------- post-process [32] 1.1% loop [126] 98.9% [5] 18310(10.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 100.0% -------------------------------------------------------------------------- location-do [85] 100.0% [6] 7422(4.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [20] 58.3% f94 [173] 30.4% taylor-quotient [25] 5.5% taylor-sqrt [28] 3.0% debug-print [116] 2.7% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [7] 3896(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [8] 3230(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [9] 1800(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [141] 75.7% for-loop [26] 24.3% -------------------------------------------------------------------------- map [111] 1.6% loop [126] 98.4% [10] 1342(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [141] 68.7% map [111] 31.3% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [11] 1042(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [24] 100.0% -------------------------------------------------------------------------- f94 [173] 100.0% [12] 1036(0.6%) 214(0.1%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [99] 60.0% first-nonzero-exp [36] 19.3% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [13] 402(0.2%) 202(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [29] 49.8% -------------------------------------------------------------------------- parse-loop12 [153] 100.0% [14] 198(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:80:11 f94 [173] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.9% [15] 161344(94.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [59] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 61636(36.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [31] 100.0% -------------------------------------------------------------------------- completely-simplify-alt [5] 35.6% simplify [3] 64.4% [17] 51366(30.1%) 200(0.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [30] 87.5% loop [33] 11.8% loop [126] 0.4% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 26000(15.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [19] 16300(9.6%) 360(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [30] 85.8% loop [33] 12.0% -------------------------------------------------------------------------- approximate9 [6] 100.0% [20] 4328(2.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [141] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [21] 3896(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [141] 86.1% ??? [37] 8.2% simplify [99] 5.7% -------------------------------------------------------------------------- ??? [8] 100.0% [22] 3230(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [141] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 3068(1.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [34] 100.0% -------------------------------------------------------------------------- ??? [11] 100.0% [24] 1042(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [35] 100.0% -------------------------------------------------------------------------- approximate9 [6] 40.4% f94 [173] 59.6% [25] 1016(0.6%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [36] 80.1% simplify [99] 19.9% -------------------------------------------------------------------------- ??? [9] 100.0% [26] 652(0.4%) 200(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [141] 69.3% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [27] 436(0.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [38] 100.0% -------------------------------------------------------------------------- approximate9 [6] 100.0% [28] 226(0.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [141] 100.0% -------------------------------------------------------------------------- ??? [13] 100.0% [29] 200(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [153] 100.0% -------------------------------------------------------------------------- simplify [3] 14.6% for-loop [19] 20.3% simplify-expr [17] 65.1% [30] 68994(40.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [39] 94.3% map-enodes [43] 5.4% debug7 [192] 0.3% -------------------------------------------------------------------------- for-loop [16] 100.0% [31] 61636(36.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [40] 93.4% finalize-iter! [45] 2.6% gen-series! [46] 2.2% localize-error [44] 1.1% choose-best-alt! [47] 0.4% gen-rewrites! [48] 0.4% -------------------------------------------------------------------------- finalize-table! [18] 100.0% [32] 26000(15.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [126] 73.1% for-loop [42] 24.3% localize-error [44] 1.8% completely-simplify-alt [5] 0.8% -------------------------------------------------------------------------- simplify [3] 16.0% for-loop [19] 20.5% simplify-expr [17] 63.5% [33] 9516(5.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [41] 100.0% -------------------------------------------------------------------------- get-final-combination [23] 100.0% [34] 3068(1.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [126] 100.0% -------------------------------------------------------------------------- for-loop [24] 100.0% [35] 1042(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [141] 100.0% -------------------------------------------------------------------------- taylor-invert [12] 19.7% taylor-quotient [25] 80.3% [36] 1014(0.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [141] 80.3% simplify [99] 19.7% -------------------------------------------------------------------------- for-loop [21] 100.0% [37] 642(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [141] 100.0% -------------------------------------------------------------------------- setup-prog [27] 100.0% [38] 436(0.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [39] 65072(38.2%) 3826(2.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [50] 54.4% loop [51] 38.7% apply-match [60] 0.6% hash-keys [56] 0.4% -------------------------------------------------------------------------- run-iter! [31] 100.0% [40] 57596(33.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [49] 100.0% -------------------------------------------------------------------------- loop [33] 100.0% [41] 9516(5.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [52] 100.0% -------------------------------------------------------------------------- post-process [32] 100.0% [42] 6308(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [53] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [43] 3702(2.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [126] 94.4% for-loop [136] 5.6% -------------------------------------------------------------------------- post-process [32] 23.5% run-iter! [31] 32.4% loop [126] 44.1% [44] 2044(1.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [141] 89.2% sort [58] 10.8% -------------------------------------------------------------------------- run-iter! [31] 100.0% [45] 1572(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [54] 100.0% -------------------------------------------------------------------------- run-iter! [31] 100.0% [46] 1336(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [55] 100.0% -------------------------------------------------------------------------- run-iter! [31] 100.0% [47] 242(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [54] 100.0% -------------------------------------------------------------------------- run-iter! [31] 100.0% [48] 228(0.1%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [57] 100.0% -------------------------------------------------------------------------- simplify! [40] 100.0% [49] 57596(33.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [59] 100.0% -------------------------------------------------------------------------- for-loop [50] 49.7% one-iter [39] 50.3% [50] 35396(20.8%) 6330(3.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [50] 49.7% match-e [72] 41.1% -------------------------------------------------------------------------- one-iter [39] 100.0% [51] 25186(14.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [60] 100.0% -------------------------------------------------------------------------- pass [41] 100.0% [52] 9516(5.6%) 438(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [62] 52.1% for-loop [63] 24.7% loop [65] 9.1% make-sequence [115] 6.9% loop [66] 2.6% -------------------------------------------------------------------------- append-map [53] 2.6% simplify-node [129] 3.2% f94 [173] 8.0% for-loop [42] 86.2% [53] 6308(3.7%) 212(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [61] 69.5% loop [126] 16.7% parse-loop12 [153] 4.9% f94 [173] 4.8% append-map [53] 2.6% -------------------------------------------------------------------------- choose-best-alt! [47] 13.3% finalize-iter! [45] 86.7% [54] 1814(1.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [64] 86.7% atab-pick-alt8 [68] 13.3% -------------------------------------------------------------------------- gen-series! [46] 100.0% [55] 1336(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [61] 100.0% -------------------------------------------------------------------------- one-iter [39] 100.0% [56] 242(0.1%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [67] 100.0% -------------------------------------------------------------------------- gen-rewrites! [48] 100.0% [57] 228(0.1%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [69] 100.0% -------------------------------------------------------------------------- localize-error [44] 100.0% [58] 220(0.1%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 jloop [70] 100.0% -------------------------------------------------------------------------- for-loop [49] 11.8% run [15] 43.1% [59] 165894(97.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.0% run-improve58 [2] 23.8% loop [71] 21.5% simplify [3] 11.8% -------------------------------------------------------------------------- one-iter [39] 1.6% loop [51] 98.4% [60] 25608(15.0%) 2070(1.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [84] 33.3% match-e [72] 20.5% for-loop [75] 9.9% substitute-e [87] 8.9% mk-enode! [100] 6.0% loop! [137] 5.7% update-leader! [98] 5.1% reduce-to-single! [77] 2.6% -------------------------------------------------------------------------- loop [126] 13.8% for-loop [55] 17.5% append-map [53] 68.7% [61] 7644(4.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [73] 100.0% -------------------------------------------------------------------------- for-loop [52] 100.0% [62] 4958(2.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [74] 95.2% for-loop [79] 4.8% -------------------------------------------------------------------------- for-loop [52] 100.0% [63] 2350(1.4%) 2350(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- ??? [54] 100.0% [64] 1572(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [76] 100.0% -------------------------------------------------------------------------- for-loop [52] 100.0% [65] 870(0.5%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [74] 100.0% -------------------------------------------------------------------------- for-loop [52] 100.0% [66] 246(0.1%) 246(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 -------------------------------------------------------------------------- hash-keys [56] 100.0% [67] 242(0.1%) 242(0.1%) loop ...acket/collects/racket/private/hash.rkt:3:4 -------------------------------------------------------------------------- ??? [54] 100.0% [68] 242(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [78] 100.0% -------------------------------------------------------------------------- for-loop [57] 100.0% [69] 228(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [80] 100.0% -------------------------------------------------------------------------- sort [58] 100.0% [70] 220(0.1%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 errors-score [81] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 5.3% ??? [59] 94.7% [71] 74754(43.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [82] 56.2% make-exacts* [95] 28.7% loop [96] 15.1% -------------------------------------------------------------------------- apply-match [60] 10.1% for-loop [97] 17.1% for-loop [50] 72.8% [72] 34310(20.1%) 17612(10.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 39.5% for-loop [97] 8.2% loop [126] 4.3% list-cartesian-product [101] 3.9% curry* [93] 0.6% constant? [105] 0.2% -------------------------------------------------------------------------- taylor-alt [61] 100.0% [73] 7644(4.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [85] 100.0% -------------------------------------------------------------------------- loop [65] 15.6% argmin [62] 84.4% [74] 5590(3.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [86] 100.0% -------------------------------------------------------------------------- apply-match [60] 100.0% [75] 2538(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [84] 59.8% substitute-e [87] 22.9% loop! [137] 8.7% mk-enode! [100] 8.6% -------------------------------------------------------------------------- for-loop [64] 100.0% [76] 1572(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [88] 100.0% -------------------------------------------------------------------------- apply-match [60] 100.0% [77] 654(0.4%) 452(0.3%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [94] 30.9% -------------------------------------------------------------------------- atab-pick-alt8 [68] 100.0% [78] 242(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [89] 100.0% -------------------------------------------------------------------------- argmin [62] 100.0% [79] 238(0.1%) 238(0.1%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- ??? [69] 16.7% matcher [108] 83.3% [80] 228(0.1%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [91] 83.3% *rules* [90] 16.7% -------------------------------------------------------------------------- jloop [70] 100.0% [81] 220(0.1%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [92] 100.0% -------------------------------------------------------------------------- loop [71] 100.0% [82] 42026(24.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [95] 36.0% loop [96] 35.1% eval-prog [134] 28.9% -------------------------------------------------------------------------- match-e [72] 100.0% [83] 16394(9.6%) 8492(5.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [97] 44.8% list-cartesian-product [101] 8.9% foldl [139] 1.3% loop [126] 0.7% -------------------------------------------------------------------------- for-loop [102] 3.9% merge-egraph-nodes! [84] 8.7% for-loop [75] 12.6% apply-match [60] 74.9% [84] 10036(5.9%) 400(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [98] 61.6% merge-egraph-nodes! [84] 8.7% enode-merge! [103] 8.2% loop! [137] 6.5% for-loop [106] 4.6% for-loop [102] 3.9% for-loop [104] 2.6% -------------------------------------------------------------------------- for-loop [73] 21.3% location-do [85] 78.7% [85] 7644(4.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [85] 78.7% approximate9 [6] 20.7% simplify [99] 0.6% -------------------------------------------------------------------------- expression-cost [74] 100.0% [86] 5590(3.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [141] 100.0% -------------------------------------------------------------------------- substitute-e [87] 8.7% for-loop [75] 20.3% apply-match [60] 71.0% [87] 2866(1.7%) 400(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [100] 78.3% substitute-e [87] 8.7% constant? [105] 2.6% -------------------------------------------------------------------------- atab-add-altn [76] 100.0% [88] 1572(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [128] 86.0% for-loop [110] 14.0% -------------------------------------------------------------------------- ??? [78] 100.0% [89] 242(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [107] 100.0% -------------------------------------------------------------------------- rewriter [80] 100.0% [90] 228(0.1%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [104] 100.0% -------------------------------------------------------------------------- rewriter [80] 100.0% [91] 228(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [108] 100.0% -------------------------------------------------------------------------- errors-score [81] 100.0% [92] 220(0.1%) 220(0.1%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------- match-e [72] 100.0% [93] 220(0.1%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [109] 100.0% -------------------------------------------------------------------------- reduce-to-single! [77] 100.0% [94] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- loop [82] 41.3% loop [71] 58.7% [95] 36574(21.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [126] 40.6% map [111] 35.0% eval-prog [134] 24.4% -------------------------------------------------------------------------- loop [71] 43.3% loop [82] 56.7% [96] 26040(15.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [111] 99.2% loop [126] 0.8% -------------------------------------------------------------------------- match-e [72] 35.5% for-loop [83] 64.5% [97] 13876(8.1%) 842(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [72] 84.0% ??? [113] 10.0% -------------------------------------------------------------------------- apply-match [60] 16.4% merge-egraph-nodes! [84] 83.6% [98] 7950(4.7%) 1320(0.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [112] 72.1% custom-set-union! [117] 8.6% make-sequence [115] 2.7% -------------------------------------------------------------------------- loop [126] 3.3% first-nonzero-exp [36] 3.3% taylor-quotient [25] 3.4% location-do [85] 3.7% for-loop [21] 3.7% taylor-invert [12] 10.4% hash-ref! [141] 72.1% [99] 5982(3.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [173] 53.5% parse-loop12 [153] 22.3% debug-print [116] 10.1% simplify-node [129] 7.0% debug7 [192] 3.7% make-multiplication-node [177] 3.3% -------------------------------------------------------------------------- for-loop [75] 5.5% apply-match [60] 38.2% substitute-e [87] 56.3% [100] 3986(2.3%) 2296(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [114] 26.7% new-enode [119] 15.7% -------------------------------------------------------------------------- for-loop [83] 28.4% match-e [72] 35.6% list-cartesian-product [101] 36.0% [101] 2928(1.7%) 2706(1.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [101] 36.0% for-loop [124] 3.8% -------------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [102] 850(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [84] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [84] 100.0% [103] 822(0.5%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [120] 73.0% custom-set-intersect! [123] 27.0% -------------------------------------------------------------------------- *rules* [90] 46.5% merge-egraph-nodes! [84] 53.5% [104] 490(0.3%) 262(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ormap [121] 46.5% -------------------------------------------------------------------------- substitute-e [87] 47.8% match-e [72] 52.2% [105] 464(0.3%) 464(0.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- merge-egraph-nodes! 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[103] 100.0% [123] 222(0.1%) 222(0.1%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------- list-cartesian-product [101] 100.0% [124] 222(0.1%) 222(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- for-loop [110] 100.0% [125] 220(0.1%) 220(0.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------- loop [96] 0.0% f94 [173] 0.1% simplify-expr [17] 0.1% make-exacts* [95] 0.1% for-loop [83] 0.2% map-enodes [43] 0.2% map [111] 0.5% parse-loop12 [153] 0.5% loop! [137] 0.9% match-e [72] 1.0% append-map [53] 1.0% extract-alt [34] 1.6% post-process [32] 3.2% ??? [4] 20.0% loop [126] 70.7% [126] 103434(60.7%) 794(0.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [126] 70.7% hash-ref! [141] 20.0% completely-simplify-alt [5] 2.9% simplify [3] 1.6% taylor-alt [61] 1.0% loop! [137] 0.9% ??? [140] 0.6% ??? [10] 0.4% foldl [139] 0.4% curried [146] 0.4% localize-error [44] 0.3% for-loop [136] 0.2% simplify [99] 0.1% ...higher-order.rkt:373:33 [163] 0.0% ??? [180] 0.0% ->flonum [174] 0.0% -------------------------------------------------------------------------- for-loop [112] 100.0% [127] 5296(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [135] 100.0% -------------------------------------------------------------------------- composed [118] 15.2% best-and-tied-at-points [88] 84.8% [128] 1594(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [138] 57.3% eval-prog [134] 42.7% -------------------------------------------------------------------------- map [111] 48.8% simplify [99] 51.2% [129] 820(0.5%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [53] 72.9% f94 [173] 27.1% -------------------------------------------------------------------------- ??? [113] 100.0% [130] 460(0.3%) 460(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- custom-set-union! [117] 100.0% [131] 220(0.1%) 220(0.1%) for-loop ...cts/racket/private/set-types.rkt:254:4 -------------------------------------------------------------------------- make-sequence [115] 100.0% [132] 212(0.1%) 212(0.1%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------- debug-print [116] 100.0% [133] 200(0.1%) 200(0.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- errors [128] 3.1% make-exacts* [95] 41.1% loop [82] 55.8% [134] 21758(12.8%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [141] 96.9% inductor [167] 2.0% ??? [148] 1.0% -------------------------------------------------------------------------- for-loop [127] 100.0% [135] 5296(3.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [142] 100.0% -------------------------------------------------------------------------- map-enodes [43] 5.6% loop [126] 94.4% [136] 3702(2.2%) 420(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [144] 47.2% eval-const-expr [147] 23.6% curried [146] 17.9% -------------------------------------------------------------------------- for-loop [75] 7.0% loop [126] 29.5% merge-egraph-nodes! [84] 29.9% apply-match [60] 33.6% [137] 3136(1.8%) 816(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [145] 33.0% loop [126] 29.5% set [143] 22.8% -------------------------------------------------------------------------- errors [128] 100.0% [138] 914(0.5%) 242(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [140] 73.5% -------------------------------------------------------------------------- for-loop [83] 33.6% loop [126] 66.4% [139] 654(0.4%) 434(0.3%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [149] 33.6% -------------------------------------------------------------------------- map [111] 0.4% for-loop [138] 1.2% loop [126] 98.3% [140] 53978(31.7%) 948(0.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [150] 94.4% real->bigfloat [156] 3.4% ??? [190] 0.4% -------------------------------------------------------------------------- for-loop [171] 0.1% taylor-sqrt [28] 0.1% for-loop [26] 0.2% ??? [37] 0.2% for-loop [35] 0.4% ??? [9] 0.6% first-nonzero-exp [36] 1.6% ??? [10] 2.3% for-loop [22] 2.3% ??? [155] 2.4% ??? [154] 2.4% for-loop [21] 2.5% loop [20] 3.0% localize-error [44] 3.1% compile [86] 5.8% ??? [4] 10.7% eval-prog [134] 15.0% loop [126] 47.2% [141] 33872(19.9%) 6094(3.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? 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[137] 63.3% [145] 1634(1.0%) 222(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [157] 60.5% for-loop [160] 25.9% -------------------------------------------------------------------------- for-loop [136] 49.3% loop [126] 50.7% [146] 1344(0.8%) 1344(0.8%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- for-loop [136] 100.0% [147] 872(0.5%) 222(0.1%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [158] 74.5% -------------------------------------------------------------------------- eval-prog [134] 100.0% [148] 226(0.1%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [161] 100.0% -------------------------------------------------------------------------- foldl [139] 100.0% [149] 220(0.1%) 220(0.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- ??? [140] 100.0% [150] 50948(29.9%) 954(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [180] 52.9% bf* [172] 24.9% ...higher-order.rkt:373:33 [163] 13.8% bfcube [165] 4.8% ...ow-val-first.rkt:357:18 [175] 0.9% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [151] 20388(12.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [162] 80.9% sig+exp->bigfloat [164] 18.0% bigfloat->sig+exp [176] 1.1% -------------------------------------------------------------------------- ??? [142] 100.0% [152] 5296(3.1%) 4434(2.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [166] 16.3% -------------------------------------------------------------------------- for-loop [29] 4.6% map [111] 6.1% append-map [53] 7.4% parse-loop12 [153] 15.4% simplify [99] 24.9% hash-ref! [141] 41.6% [153] 4380(2.6%) 1336(0.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [126] 35.7% parse-loop12 [153] 15.4% loop [169] 7.5% f94 [173] 7.0% for-loop [171] 4.6% for-loop [170] 3.4% for-loop [14] 1.5% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [154] 3898(2.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [141] 100.0% -------------------------------------------------------------------------- hash-ref! [141] 100.0% [155] 3886(2.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [141] 100.0% -------------------------------------------------------------------------- ??? [140] 100.0% [156] 1856(1.1%) 1158(0.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? 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[150] 100.0% [165] 2440(1.4%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [172] 83.6% ...ow-val-first.rkt:357:18 [175] 16.4% -------------------------------------------------------------------------- for-loop [106] 21.9% for-loop [152] 78.1% [166] 1104(0.6%) 1104(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- eval-prog [134] 23.5% expression-induct31 [158] 29.8% inductor [167] 46.7% [167] 1092(0.6%) 650(0.4%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [167] 46.7% ...e/case-arrow.rkt:150:50 [178] 10.2% integer->bigfloat [179] 10.1% -------------------------------------------------------------------------- for-loop [157] 100.0% [168] 988(0.6%) 988(0.6%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- parse-loop12 [153] 5.4% loop [169] 94.6% [169] 682(0.4%) 222(0.1%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [169] 94.6% ->flonum [174] 4.8% -------------------------------------------------------------------------- parse-loop12 [153] 100.0% [170] 422(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f94 [173] 52.6% make-multiplication-node [177] 47.4% -------------------------------------------------------------------------- parse-loop12 [153] 100.0% [171] 200(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [141] 100.0% -------------------------------------------------------------------------- bfcube [165] 13.9% ??? [150] 86.1% [172] 14712(8.6%) 502(0.3%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [180] 96.6% -------------------------------------------------------------------------- composed [118] 1.1% for-loop [170] 1.2% simplify-node [129] 1.2% for-loop [14] 3.3% append-map [53] 4.2% parse-loop12 [153] 5.6% hash-ref! [141] 6.7% approximate9 [6] 9.2% f94 [173] 17.9% simplify [99] 19.1% map [111] 30.4% [173] 5926(3.5%) 870(0.5%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [111] 43.7% f94 [173] 17.9% append-map [53] 8.3% combine-mterms [183] 4.2% taylor-quotient [25] 3.5% gather-multiplicative-terms [186] 3.1% compose [184] 2.9% taylor-invert [12] 2.8% taylor [187] 1.3% composed [118] 1.1% loop [126] 0.7% -------------------------------------------------------------------------- map [111] 31.1% loop [169] 34.0% loop [126] 34.9% [174] 1352(0.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [182] 51.0% ??? [195] 49.0% -------------------------------------------------------------------------- bfcube [165] 46.6% ??? [150] 53.4% [175] 858(0.5%) 220(0.1%) ...ow-val-first.rkt:357:18 (unknown source) ??? [181] 74.4% -------------------------------------------------------------------------- bigfloat-hash [151] 34.7% bfcanonicalize [162] 65.3% [176] 674(0.4%) 448(0.3%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [188] 33.5% -------------------------------------------------------------------------- for-loop [170] 32.3% simplify [99] 32.3% map [111] 35.5% [177] 620(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [185]100.0% -------------------------------------------------------------------------- inductor [167] 100.0% [178] 222(0.1%) 222(0.1%) ...e/case-arrow.rkt:150:50 (unknown source) -------------------------------------------------------------------------- inductor [167] 100.0% [179] 220(0.1%) 0(0.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ??? [196] 100.0% -------------------------------------------------------------------------- loop [126] 0.6% bf* [172] 34.3% ??? [150] 65.1% [180] 41394(24.3%) 4700(2.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [189] 67.4% ??? [195] 16.8% bfcbrt [191] 4.4% -------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [175] 8.9% ...higher-order.rkt:373:33 [163] 91.1% [181] 7174(4.2%) 240(0.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [190] 96.7% -------------------------------------------------------------------------- ->flonum [174] 100.0% [182] 690(0.4%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [196] 100.0% -------------------------------------------------------------------------- f94 [173] 100.0% [183] 642(0.4%) 642(0.4%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 -------------------------------------------------------------------------- f94 [173] 100.0% [184] 628(0.4%) 628(0.4%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- make-multiplication-node [177] 100.0% [185] 620(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [193] 67.7% for-loop [194] 32.3% -------------------------------------------------------------------------- f94 [173] 100.0% [186] 442(0.3%) 442(0.3%) gather-multiplicative-terms ...re/reduce.rkt:107:0 -------------------------------------------------------------------------- f94 [173] 100.0% [187] 418(0.2%) 202(0.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [192] 51.7% -------------------------------------------------------------------------- bigfloat->sig+exp [176] 100.0% [188] 226(0.1%) 226(0.1%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------- ??? [180] 100.0% [189] 27896(16.4%) 20394(12.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [196] 26.9% -------------------------------------------------------------------------- ??? [140] 2.9% ...higher-order.rkt:373:33 [163] 9.2% ??? [181] 88.0% [190] 7884(4.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [195] 100.0% -------------------------------------------------------------------------- ??? [180] 100.0% [191] 1840(1.1%) 1574(0.9%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [196] 14.5% -------------------------------------------------------------------------- taylor [187] 32.8% iterate-egraph!5 [30] 33.4% simplify [99] 33.7% [192] 658(0.4%) 222(0.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [197] 33.4% return/no-unsupplied [198] 32.8% -------------------------------------------------------------------------- make-multiplication-subnode [185]100.0% [193] 420(0.2%) 420(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- make-multiplication-subnode [185]100.0% [194] 200(0.1%) 200(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 -------------------------------------------------------------------------- ->flonum [174] 4.3% ??? [180] 44.9% ??? [190] 50.9% [195] 15504(9.1%) 5852(3.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [199] 59.3% ??? [200] 2.9% -------------------------------------------------------------------------- integer->bigfloat [179] 2.3% sig+exp->bigfloat [164] 2.3% bfcbrt [191] 2.8% ??? [182] 7.2% real->bigfloat [156] 7.3% bfadd [189] 78.2% [196] 9598(5.6%) 9598(5.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- debug7 [192] 100.0% [197] 220(0.1%) 220(0.1%) ??? ...racket/collects/racket/private/kw.rkt:713:9 -------------------------------------------------------------------------- debug7 [192] 100.0% [198] 216(0.1%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [201] 100.0% -------------------------------------------------------------------------- ??? [195] 100.0% [199] 9200(5.4%) 5852(3.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [202] 36.4% -------------------------------------------------------------------------- ??? [195] 100.0% [200] 452(0.3%) 452(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- return/no-unsupplied [198] 100.0% [201] 216(0.1%) 216(0.1%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- ??? [199] 100.0% [202] 3348(2.0%) 3348(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------