Profiling results ----------------- Total cpu time observed: 234130ms (out of 236696ms) Number of samples taken: 979 (once every 239ms) (Hiding functions with self<1.0% and local<2.0%: 15 of 213 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [54] 100.0% [1] 218156(93.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ------------------------------------------------------------------------- ??? [54] 100.0% [2] 120200(51.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [16] 73.1% finalize-table! [19] 22.0% loop [61] 2.7% get-final-combination [23] 2.0% setup-prog [28] 0.2% ------------------------------------------------------------------------- simplify-alt [36] 0.3% loop [131] 2.6% ??? [54] 97.1% [3] 84254(36.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 50.4% for-loop [18] 42.1% iterate-egraph!5 [30] 7.2% loop [32] 0.3% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [4] 12434(5.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [141] 93.4% ??? [33] 6.6% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [5] 8400(3.6%) 404(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 95.2% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [6] 7468(3.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [21] 100.0% ------------------------------------------------------------------------- hash-ref! [141] 2.9% approximate9 [79] 9.3% map [103] 9.8% f94 [152] 78.0% [7] 6254(2.7%) 202(0.1%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [22] 74.0% simplify [80] 22.8% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [8] 6064(2.6%) 620(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [131] 79.5% hash-ref! [141] 15.5% ------------------------------------------------------------------------- loop [131] 100.0% [9] 4948(2.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 100.0% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [10] 2490(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [141] 76.8% for-loop [27] 23.2% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [11] 2050(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [24] 100.0% ------------------------------------------------------------------------- f94 [152] 100.0% [12] 1426(0.6%) 604(0.3%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [26] 57.6% ------------------------------------------------------------------------- map [103] 26.7% f94 [152] 73.3% [13] 1418(0.6%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [22] 100.0% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [14] 1014(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [25] 100.0% ------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [15] 218156(93.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [54] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 87834(37.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [29] 100.0% ------------------------------------------------------------------------- completely-simplify-alt [9] 10.4% simplify [3] 89.6% [17] 47426(20.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [30] 96.2% loop [32] 3.8% ------------------------------------------------------------------------- simplify [3] 100.0% [18] 35502(15.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [30] 94.4% loop [32] 5.6% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [19] 26476(11.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [31] 100.0% ------------------------------------------------------------------------- ??? [5] 100.0% [20] 7996(3.4%) 200(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [141] 96.7% simplify [80] 2.5% ------------------------------------------------------------------------- ??? [6] 100.0% [21] 7468(3.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [141] 84.3% ??? [33] 15.3% simplify [80] 0.4% ------------------------------------------------------------------------- taylor-invert [13] 23.5% taylor-quotient [7] 76.5% [22] 6044(2.6%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [141] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 2394(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [34] 100.0% ------------------------------------------------------------------------- ??? [11] 100.0% [24] 2050(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [35] 100.0% ------------------------------------------------------------------------- ??? [14] 100.0% [25] 1014(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [141] 80.1% simplify [80] 19.9% ------------------------------------------------------------------------- combine-mterms [12] 100.0% [26] 822(0.4%) 218(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [141] 73.5% ------------------------------------------------------------------------- ??? [10] 100.0% [27] 812(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [141] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [28] 230(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [36] 100.0% ------------------------------------------------------------------------- for-loop [16] 100.0% [29] 87834(37.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [38] 92.5% gen-series! [40] 5.3% finalize-iter! [43] 1.8% choose-best-alt! [44] 0.2% gen-rewrites! [46] 0.2% ------------------------------------------------------------------------- simplify [3] 7.1% for-loop [18] 39.3% simplify-expr [17] 53.5% [30] 85170(36.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 97.0% map-enodes [42] 3.0% ------------------------------------------------------------------------- finalize-table! [19] 100.0% [31] 26476(11.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [39] 77.8% loop [131] 20.7% ??? [105] 0.8% ------------------------------------------------------------------------- simplify [3] 5.5% simplify-expr [17] 45.2% for-loop [18] 49.4% [32] 4032(1.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [41] 100.0% ------------------------------------------------------------------------- ??? [4] 9.0% for-loop [21] 91.0% [33] 3236(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [141] 100.0% ------------------------------------------------------------------------- get-final-combination [23] 100.0% [34] 2394(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [131] 91.3% loop [45] 8.7% ------------------------------------------------------------------------- for-loop [24] 100.0% [35] 2050(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [141] 100.0% ------------------------------------------------------------------------- setup-prog [28] 100.0% [36] 230(0.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [37] 82590(35.3%) 1512(0.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [48] 49.8% loop [49] 46.8% apply-match [55] 1.3% ------------------------------------------------------------------------- run-iter! [29] 100.0% [38] 81216(34.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [47] 100.0% ------------------------------------------------------------------------- post-process [31] 100.0% [39] 20606(8.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [50] 100.0% ------------------------------------------------------------------------- run-iter! [29] 100.0% [40] 4654(2.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% ------------------------------------------------------------------------- loop [32] 100.0% [41] 4032(1.7%) 392(0.2%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [52] 90.3% ------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [42] 2580(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [131] 100.0% ------------------------------------------------------------------------- run-iter! [29] 100.0% [43] 1544(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [105] 100.0% ------------------------------------------------------------------------- run-iter! [29] 100.0% [44] 218(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [105] 100.0% ------------------------------------------------------------------------- extract-alt [34] 100.0% [45] 208(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [163] 100.0% ------------------------------------------------------------------------- run-iter! [29] 100.0% [46] 202(0.1%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [53] 100.0% ------------------------------------------------------------------------- simplify! [38] 99.2% [47] 81838(35.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [54] 100.0% ------------------------------------------------------------------------- for-loop [48] 48.6% one-iter [37] 51.4% [48] 41142(17.6%) 8342(3.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [48] 48.6% match-e [62] 39.6% ??? [95] 0.3% ------------------------------------------------------------------------- one-iter [37] 100.0% [49] 38634(16.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [55] 100.0% ------------------------------------------------------------------------- parse-loop25 [91] 0.2% simplify-node [113] 6.1% append-map [50] 8.9% f94 [152] 15.3% for-loop [39] 69.5% [50] 22606(9.7%) 600(0.3%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [56] 50.8% loop [131] 18.7% f94 [152] 12.3% append-map [50] 8.9% parse-loop25 [91] 7.8% gather-additive-terms6 [147] 0.3% ------------------------------------------------------------------------- gen-series! [40] 100.0% [51] 4654(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [56] 100.0% ------------------------------------------------------------------------- pass [41] 100.0% [52] 3640(1.6%) 240(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [57] 58.1% for-loop [58] 23.7% make-sequence [96] 6.1% loop [60] 5.5% ------------------------------------------------------------------------- gen-rewrites! [46] 100.0% [53] 202(0.1%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [59] 100.0% ------------------------------------------------------------------------- for-loop [47] 12.7% run [15] 42.1% [54] 231164(98.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.1% loop [61] 24.2% run-improve58 [2] 21.1% simplify [3] 12.7% ------------------------------------------------------------------------- one-iter [37] 2.8% loop [49] 97.2% [55] 39736(17.0%) 236(0.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [62] 33.2% merge-egraph-nodes! [71] 29.7% for-loop [64] 13.5% loop! [142] 8.1% substitute-e [72] 7.8% mk-enode! [84] 4.9% reduce-to-single! [66] 1.7% update-leader! [82] 0.5% ------------------------------------------------------------------------- for-loop [51] 18.4% loop [131] 21.0% append-map [50] 60.6% [56] 25260(10.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [63] 100.0% ------------------------------------------------------------------------- for-loop [52] 100.0% [57] 2114(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [65] 100.0% ------------------------------------------------------------------------- for-loop [52] 100.0% [58] 864(0.4%) 864(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------- for-loop [53] 100.0% [59] 202(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [67] 100.0% ------------------------------------------------------------------------- for-loop [52] 100.0% [60] 200(0.1%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [65] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 2.9% ??? [54] 97.1% [61] 113608(48.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [68] 50.6% make-exacts* [77] 33.2% loop [78] 16.2% ------------------------------------------------------------------------- for-loop [81] 18.4% apply-match [55] 20.3% for-loop [48] 61.4% [62] 45770(19.5%) 19996(8.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [70] 44.4% for-loop [81] 8.1% loop [131] 4.2% list-cartesian-product [83] 3.6% custom-in-set [169] 0.6% ------------------------------------------------------------------------- taylor-alt [56] 100.0% [63] 25260(10.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [69] 100.0% ------------------------------------------------------------------------- apply-match [55] 100.0% [64] 5358(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [142] 65.2% substitute-e [72] 19.4% merge-egraph-nodes! [71] 15.3% ------------------------------------------------------------------------- loop [60] 8.6% argmin [57] 91.4% [65] 2314(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [73] 100.0% ------------------------------------------------------------------------- apply-match [55] 100.0% [66] 662(0.3%) 422(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [74] 36.3% ------------------------------------------------------------------------- ??? [59] 16.7% matcher [89] 83.3% [67] 202(0.1%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [76] 83.3% *rules* [75] 16.7% ------------------------------------------------------------------------- loop [61] 100.0% [68] 57456(24.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [78] 48.8% make-exacts* [77] 46.1% eval-prog [92] 5.2% ------------------------------------------------------------------------- location-do [69] 41.0% for-loop [63] 59.0% [69] 25260(10.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [79] 58.8% location-do [69] 41.0% simplify [80] 0.2% ------------------------------------------------------------------------- match-e [62] 100.0% [70] 24256(10.4%) 9936(4.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [81] 50.1% list-cartesian-product [83] 11.2% loop [131] 6.1% foldl [145] 0.9% ------------------------------------------------------------------------- for-loop [86] 1.7% merge-egraph-nodes! [71] 2.5% for-loop [64] 6.5% apply-match [55] 89.3% [71] 12604(5.4%) 636(0.3%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [82] 53.1% for-loop [85] 13.2% loop! [142] 11.9% for-loop [86] 7.7% make-sequence [96] 3.3% merge-egraph-nodes! [71] 2.5% enode-merge! [88] 1.6% ------------------------------------------------------------------------- for-loop [64] 22.6% substitute-e [72] 24.8% apply-match [55] 52.6% [72] 4160(1.8%) 2074(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [84] 50.1% substitute-e [72] 24.8% ------------------------------------------------------------------------- expression-cost [65] 100.0% [73] 2314(1.0%) 652(0.3%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [141] 71.8% ------------------------------------------------------------------------- reduce-to-single! [66] 100.0% [74] 240(0.1%) 240(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ------------------------------------------------------------------------- rewriter [67] 100.0% [75] 202(0.1%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 ormap [87] 100.0% ------------------------------------------------------------------------- rewriter [67] 100.0% [76] 202(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [89] 100.0% ------------------------------------------------------------------------- loop [68] 41.2% loop [61] 58.8% [77] 64236(27.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [131] 49.1% map [103] 43.7% eval-prog [92] 7.2% ------------------------------------------------------------------------- loop [61] 39.6% loop [68] 60.4% [78] 46400(19.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [103] 100.0% ------------------------------------------------------------------------- location-do [69] 100.0% [79] 25058(10.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [90] 93.7% f94 [152] 4.0% taylor-quotient [7] 2.3% ------------------------------------------------------------------------- for-loop [20] 0.9% for-loop [25] 0.9% location-do [69] 0.9% for-loop [21] 1.0% loop [131] 2.7% taylor-quotient [7] 6.4% hash-ref! [141] 84.5% [80] 22170(9.5%) 200(0.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [152] 70.1% debug7 [94] 7.4% simplify-node [113] 6.7% parse-loop25 [91] 6.3% debug-print [133] 5.7% make-multiplication-node [116] 2.0% simplify* [102] 0.9% ------------------------------------------------------------------------- match-e [62] 26.4% for-loop [70] 73.6% [81] 19922(8.5%) 3832(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [62] 78.4% ??? [95] 6.7% ------------------------------------------------------------------------- apply-match [55] 2.8% merge-egraph-nodes! [71] 97.2% [82] 7218(3.1%) 1866(0.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [93] 58.9% hash-ref! [141] 6.4% mutable-set [108] 3.1% update-en-expr [158] 3.1% make-sequence [96] 2.8% ------------------------------------------------------------------------- list-cartesian-product [83] 25.9% match-e [62] 28.3% for-loop [70] 45.9% [83] 5422(2.3%) 5204(2.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [83] 25.9% for-loop [98] 4.0% ------------------------------------------------------------------------- apply-match [55] 48.4% substitute-e [72] 51.6% [84] 4042(1.7%) 2772(1.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [97] 20.4% mutable-set [108] 5.6% new-enode [99] 5.4% ------------------------------------------------------------------------- merge-egraph-nodes! [71] 100.0% [85] 1664(0.7%) 1664(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------- merge-egraph-nodes! [71] 100.0% [86] 1292(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [142] 65.9% merge-egraph-nodes! [71] 34.1% ------------------------------------------------------------------------- *rules* [75] 100.0% [87] 202(0.1%) 202(0.1%) ormap ...et/collects/racket/private/map.rkt:106:13 ------------------------------------------------------------------------- merge-egraph-nodes! [71] 100.0% [88] 202(0.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [100] 100.0% ------------------------------------------------------------------------- for-loop [101] 50.0% for-loop [76] 50.0% [89] 202(0.1%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 for-loop [101] 50.0% rewriter [67] 50.0% ------------------------------------------------------------------------- approximate9 [79] 100.0% [90] 23476(10.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [141] 100.0% ------------------------------------------------------------------------- make-addition-node [121] 2.1% hash-ref! [141] 3.7% f94 [152] 7.2% simplify [80] 13.1% map [103] 20.7% parse-loop25 [91] 20.9% append-map [50] 32.2% [91] 10714(4.6%) 3730(1.6%) parse-loop25 ...s/racket/match/compiler.rkt:410:15 parse-loop25 [91] 20.9% f94 [152] 16.3% for-loop [106] 9.1% make-multiplication-node [116] 8.1% loop [131] 5.8% parse-app [110] 3.7% gather-additive-terms6 [147] 2.8% simplify-node [113] 2.2% foldr [112] 2.0% make-addition-node [121] 1.8% map [103] 0.7% append-map [50] 0.3% ------------------------------------------------------------------------- errors [173] 10.9% loop [68] 34.8% make-exacts* [77] 54.3% [92] 8530(3.6%) 1622(0.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [141] 67.4% inductor [174] 13.6% ------------------------------------------------------------------------- update-leader! [82] 100.0% [93] 4248(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [104] 95.2% update-en-expr [158] 4.8% ------------------------------------------------------------------------- taylor [125] 20.5% simplify [80] 79.5% [94] 2054(0.9%) 640(0.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [105] 49.3% ??? [109] 19.6% ------------------------------------------------------------------------- for-loop [48] 14.3% for-loop [81] 85.7% [95] 1552(0.7%) 664(0.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [107] 57.2% ------------------------------------------------------------------------- update-leader! [82] 23.7% for-loop [52] 26.3% merge-egraph-nodes! [71] 50.0% [96] 844(0.4%) 622(0.3%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [111] 26.3% ------------------------------------------------------------------------- mk-enode! [84] 100.0% [97] 826(0.4%) 826(0.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------- list-cartesian-product [83] 100.0% [98] 218(0.1%) 218(0.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------- mk-enode! [84] 100.0% [99] 218(0.1%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [108] 100.0% ------------------------------------------------------------------------- enode-merge! [88] 100.0% [100] 202(0.1%) 202(0.1%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------------- matcher [89] 100.0% [101] 202(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [89] 100.0% ------------------------------------------------------------------------- simplify [80] 100.0% [102] 198(0.1%) 0(0.0%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 constant? [128] 100.0% ------------------------------------------------------------------------- parse-loop25 [91] 0.0% gather-multiplicative-terms [166] 0.0% f94 [152] 22.2% make-exacts* [77] 29.3% loop [78] 48.4% [103] 95820(40.9%) 820(0.4%) map ...acket/collects/racket/private/map.rkt:21:13 loop [131] 76.1% f94 [152] 16.9% simplify-node [113] 2.5% ??? [180] 1.7% ??? [114] 1.1% parse-loop25 [91] 0.7% make-addition-node [121] 0.3% taylor-invert [13] 0.1% make-multiplication-node [116] 0.1% taylor-quotient [7] 0.1% ??? [118] 0.1% taylor [125] 0.1% gather-multiplicative-terms [166] 0.0% ------------------------------------------------------------------------- for-loop [93] 100.0% [104] 4046(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [115] 100.0% ------------------------------------------------------------------------- post-process [31] 6.8% choose-best-alt! [44] 7.3% debug7 [94] 34.0% finalize-iter! [43] 51.9% [105] 2976(1.3%) 392(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [117] 58.7% assoc-has-key? [119] 14.0% atab-pick-alt8 [122] 7.3% ??? [191] 6.8% ------------------------------------------------------------------------- parse-loop25 [91] 100.0% [106] 1680(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f94 [152] 63.2% make-multiplication-node [116] 36.8% ------------------------------------------------------------------------- ??? [95] 100.0% [107] 888(0.4%) 888(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------- new-enode [99] 32.7% update-leader! [82] 33.3% mk-enode! [84] 33.9% [108] 666(0.3%) 666(0.3%) mutable-set ...racket/private/set-types.rkt:1000:0 ------------------------------------------------------------------------- debug7 [94] 100.0% [109] 402(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [120] 100.0% ------------------------------------------------------------------------- parse-loop25 [91] 100.0% [110] 396(0.2%) 396(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------- make-sequence [96] 100.0% [111] 222(0.1%) 222(0.1%) ??? ...acket/collects/racket/private/for.rkt:428:7 ------------------------------------------------------------------------- parse-loop25 [91] 100.0% [112] 218(0.1%) 218(0.1%) foldr ...et/collects/racket/private/list.rkt:242:4 ------------------------------------------------------------------------- parse-loop25 [91] 2.6% simplify [80] 18.9% map [103] 78.6% [113] 7826(3.3%) 576(0.2%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [50] 57.6% f94 [152] 24.6% combine-aterms [127] 10.4% constant? [128] 1.3% ------------------------------------------------------------------------- loop [131] 5.5% map [103] 94.5% [114] 5444(2.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [152] 88.6% hash-ref! [141] 7.3% taylor [125] 4.1% ------------------------------------------------------------------------- for-loop [104] 100.0% [115] 4046(1.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [123] 100.0% ------------------------------------------------------------------------- simplify [80] 16.4% map [103] 22.3% for-loop [106] 23.0% parse-loop25 [91] 38.3% [116] 2690(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [124]100.0% ------------------------------------------------------------------------- ??? [105] 100.0% [117] 1746(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [126] 100.0% ------------------------------------------------------------------------- map [103] 100.0% [118] 422(0.2%) 200(0.1%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [129] 52.6% ------------------------------------------------------------------------- ??? [105] 100.0% [119] 418(0.2%) 418(0.2%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 ------------------------------------------------------------------------- ??? [109] 100.0% [120] 402(0.2%) 402(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------- parse-loop25 [91] 48.3% map [103] 51.7% [121] 400(0.2%) 198(0.1%) make-addition-node ...ie/src/core/reduce.rkt:199:0 parse-loop25 [91] 98.8% ------------------------------------------------------------------------- ??? [105] 100.0% [122] 218(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [130] 100.0% ------------------------------------------------------------------------- hash-update! [115] 100.0% [123] 4046(1.7%) 400(0.2%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [132] 90.1% ------------------------------------------------------------------------- make-multiplication-node [116] 100.0% [124] 2690(1.1%) 1246(0.5%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [135] 46.2% for-loop [140] 7.4% ------------------------------------------------------------------------- map [103] 8.1% ??? [114] 9.1% f94 [152] 82.8% [125] 2430(1.0%) 402(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [133] 33.7% loop [131] 32.4% debug7 [94] 17.4% ------------------------------------------------------------------------- for-loop [117] 100.0% [126] 1746(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [134] 87.3% override-at-pnts [138] 12.7% ------------------------------------------------------------------------- simplify-node [113] 100.0% [127] 816(0.3%) 394(0.2%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [136] 51.7% ------------------------------------------------------------------------- simplify* [102] 49.7% simplify-node [113] 50.3% [128] 398(0.2%) 398(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------- ??? [118] 100.0% [129] 222(0.1%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [137] 100.0% ------------------------------------------------------------------------- atab-pick-alt8 [122] 100.0% [130] 218(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [139] 100.0% ------------------------------------------------------------------------- parse-loop25 [91] 0.2% map-enodes [42] 0.3% make-exacts* [77] 0.4% post-process [31] 0.5% taylor [125] 0.6% extract-alt [34] 0.7% for-loop [70] 0.9% match-e [62] 1.2% loop! [142] 1.7% map [103] 2.4% ??? [8] 3.4% append-map [50] 4.0% loop [131] 83.9% [131] 133642(57.1%) 2776(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [131] 83.9% taylor-alt [56] 4.0% hash-ref! [141] 3.3% ??? [180] 2.7% loop! [142] 1.5% foldl [145] 0.8% simplify [3] 0.7% completely-simplify-alt [9] 0.5% simplify [80] 0.4% for-loop [143] 0.3% curried [159] 0.3% gather-additive-terms6 [147] 0.2% ->flonum [144] 0.1% ??? [114] 0.0% ...higher-order.rkt:373:33 [185] 0.0% ??? [188] 0.0% ------------------------------------------------------------------------- ??? [123] 100.0% [132] 3646(1.6%) 3026(1.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [158] 17.0% ------------------------------------------------------------------------- taylor [125] 39.3% simplify [80] 60.7% [133] 2084(0.9%) 602(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [146] 71.1% ------------------------------------------------------------------------- atab-add-altn [126] 100.0% [134] 1524(0.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [173] 86.7% for-loop [151] 13.3% ------------------------------------------------------------------------- make-multiplication-subnode [124]100.0% [135] 1244(0.5%) 410(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [148] 49.8% sort [150] 17.2% ------------------------------------------------------------------------- combine-aterms [127] 100.0% [136] 422(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [141] 100.0% ------------------------------------------------------------------------- for-loop [129] 100.0% [137] 222(0.1%) 222(0.1%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------- atab-add-altn [126] 100.0% [138] 222(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [173] 100.0% ------------------------------------------------------------------------- ??? [130] 100.0% [139] 218(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [149] 100.0% ------------------------------------------------------------------------- make-multiplication-subnode [124]100.0% [140] 200(0.1%) 200(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ------------------------------------------------------------------------- for-loop [26] 0.2% for-loop [25] 0.3% for-loop [27] 0.4% for-loop [136] 0.4% for-loop [35] 0.8% ??? [114] 0.8% ??? [10] 1.1% update-leader! [82] 1.4% ??? [8] 2.2% ??? [33] 2.4% compile [73] 3.0% first-nonzero-exp [22] 3.5% for-loop [20] 6.0% ??? [4] 6.8% eval-prog [92] 8.5% for-loop [21] 9.5% loop [131] 9.5% loop [90] 15.3% ??? [153] 26.6% [141] 31948(13.6%) 2528(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [153] 26.6% ??? [8] 12.8% ??? [6] 11.6% simplify [80] 10.9% bigfloat-hash [154] 8.3% f94 [152] 8.1% ??? [4] 7.2% ??? [5] 6.6% ??? [10] 1.4% parse-loop25 [91] 0.8% ??? [11] 0.8% ??? [14] 0.3% taylor-quotient [7] 0.2% ------------------------------------------------------------------------- for-loop [86] 6.4% merge-egraph-nodes! [71] 12.5% apply-match [55] 25.9% loop [131] 27.0% for-loop [64] 28.2% [142] 9188(3.9%) 2626(1.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [155] 31.1% loop [131] 29.3% set [156] 13.6% update-en-expr [158] 7.1% ------------------------------------------------------------------------- loop [131] 100.0% [143] 2580(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [157] 75.8% curried [159] 17.1% eval-const-expr [162] 7.1% ------------------------------------------------------------------------- loop [131] 100.0% [144] 2542(1.1%) 932(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [193] 46.6% ??? [161] 16.8% ------------------------------------------------------------------------- for-loop [70] 12.5% loop [131] 87.5% [145] 1766(0.8%) 904(0.4%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [160] 48.8% ------------------------------------------------------------------------- debug-print [133] 100.0% [146] 1482(0.6%) 1482(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------- append-map [50] 24.5% loop [131] 26.9% parse-loop25 [91] 48.7% [147] 826(0.4%) 826(0.4%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 ------------------------------------------------------------------------- group-by68 [135] 100.0% [148] 620(0.3%) 620(0.3%) hash-update ...cket/private/more-scheme.rkt:356:13 ------------------------------------------------------------------------- best-alt [139] 100.0% [149] 218(0.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [163] 100.0% ------------------------------------------------------------------------- group-by68 [135] 100.0% [150] 214(0.1%) 214(0.1%) sort ...ket/collects/racket/private/sort.rkt:213:0 ------------------------------------------------------------------------- best-and-tied-at-points [134] 100.0% [151] 202(0.1%) 202(0.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------- composed [163] 0.8% for-loop [106] 1.0% simplify-node [113] 1.4% approximate9 [79] 1.8% ??? [114] 2.5% parse-loop25 [91] 2.6% hash-ref! [141] 6.0% append-map [50] 6.1% f94 [152] 6.6% simplify [80] 16.3% map [103] 55.0% [152] 23176(9.9%) 3328(1.4%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [103] 72.8% append-map [50] 8.5% f94 [152] 6.6% taylor [125] 1.8% gather-multiplicative-terms [166] 1.4% taylor-quotient [7] 1.3% composed [163] 1.2% combine-mterms [12] 1.0% taylor-invert [13] 0.8% parse-loop25 [91] 0.4% compose [176] 0.1% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [153] 22856(9.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [141] 100.0% ------------------------------------------------------------------------- hash-ref! [141] 100.0% [154] 5508(2.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [164] 49.1% bfcanonicalize [165] 48.0% bigfloat->sig+exp [172] 3.0% ------------------------------------------------------------------------- loop! [142] 100.0% [155] 3098(1.3%) 706(0.3%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [167] 55.1% for-loop [168] 22.1% ------------------------------------------------------------------------- loop! [142] 100.0% [156] 2360(1.0%) 2360(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------- for-loop [143] 100.0% [157] 1956(0.8%) 874(0.4%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [170] 33.8% custom-in-set [169] 21.5% ------------------------------------------------------------------------- for-loop [93] 10.5% update-leader! [82] 11.5% for-loop [132] 32.2% loop! [142] 45.9% [158] 1928(0.8%) 1928(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------- for-loop [143] 40.2% loop [131] 59.8% [159] 1100(0.5%) 1100(0.5%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------- foldl [145] 100.0% [160] 862(0.4%) 862(0.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------- ->flonum [144] 100.0% [161] 426(0.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [194] 100.0% ------------------------------------------------------------------------- for-loop [143] 100.0% [162] 182(0.1%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [171] 100.0% ------------------------------------------------------------------------- loop [45] 6.7% argmins [149] 7.1% f94 [152] 86.2% [163] 3088(1.3%) 200(0.1%) composed ...ollects/racket/private/list.rkt:321:16 f94 [152] 79.7% errors [173] 13.8% ------------------------------------------------------------------------- bigfloat-hash [154] 100.0% [164] 2702(1.2%) 2472(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? 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[180] 39.1% ??? [181] 20.9% ------------------------------------------------------------------------- for-loop [179] 0.4% map [103] 1.6% loop [131] 98.0% [180] 103592(44.2%) 4166(1.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [182] 71.5% real->bigfloat [183] 20.6% ??? [191] 3.5% ------------------------------------------------------------------------- for-loop [179] 100.0% [181] 218(0.1%) 218(0.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------- ??? [180] 100.0% [182] 74050(31.6%) 3042(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [188] 48.7% bf* [184] 21.9% ...higher-order.rkt:373:33 [185] 20.0% ...higher-order.rkt:369:33 [186] 3.3% bf> [187] 1.9% ------------------------------------------------------------------------- ??? [180] 100.0% [183] 21336(9.1%) 16114(6.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [194] 24.5% ------------------------------------------------------------------------- ??? [182] 100.0% [184] 16236(6.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [188] 100.0% ------------------------------------------------------------------------- loop [131] 1.3% ??? [182] 98.7% [185] 14982(6.4%) 710(0.3%) ...higher-order.rkt:373:33 (unknown source) ??? [189] 76.8% ??? [191] 18.5% ------------------------------------------------------------------------- ??? [182] 100.0% [186] 2476(1.1%) 272(0.1%) ...higher-order.rkt:369:33 (unknown source) ??? [191] 49.4% ??? [189] 39.7% ------------------------------------------------------------------------- ??? [182] 100.0% [187] 1418(0.6%) 202(0.1%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [193] 85.8% ------------------------------------------------------------------------- loop [131] 0.4% bf* [184] 30.9% ??? [182] 68.7% [188] 52532(22.4%) 5480(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [190] 61.1% ??? [193] 14.9% bfcbrt [192] 13.5% ------------------------------------------------------------------------- ...higher-order.rkt:369:33 [186] 7.9% ...higher-order.rkt:373:33 [185] 92.1% [189] 12486(5.3%) 746(0.3%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [191] 94.0% ------------------------------------------------------------------------- ??? [188] 100.0% [190] 32118(13.7%) 23174(9.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [194] 27.8% ------------------------------------------------------------------------- ??? [105] 1.0% ...higher-order.rkt:369:33 [186] 6.3% ...higher-order.rkt:373:33 [185] 14.2% ??? [180] 18.5% ??? [189] 60.1% [191] 19538(8.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [193] 99.0% ------------------------------------------------------------------------- ??? [188] 100.0% [192] 7092(3.0%) 3774(1.6%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [194] 46.8% ------------------------------------------------------------------------- ->flonum [144] 4.0% bf> [187] 4.1% ??? [188] 26.5% ??? [191] 65.4% [193] 29578(12.6%) 16082(6.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [195] 42.7% ??? [196] 2.9% ------------------------------------------------------------------------- sig+exp->bigfloat [164] 1.3% ??? [161] 2.3% bfcbrt [192] 18.3% real->bigfloat [183] 28.8% bfmul [190] 49.3% [194] 18140(7.7%) 18140(7.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------- ??? [193] 100.0% [195] 12632(5.4%) 7868(3.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [197] 37.7% ------------------------------------------------------------------------- ??? [193] 100.0% [196] 864(0.4%) 658(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [198] 23.8% ------------------------------------------------------------------------- ??? [195] 100.0% [197] 4764(2.0%) 4764(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------- ??? [196] 100.0% [198] 206(0.1%) 206(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -------------------------------------------------------------------------