Profiling results ----------------- Total cpu time observed: 597834ms (out of 599380ms) Number of samples taken: 2614 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 14 of 188 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [31] 100.0% [1] 589498(98.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [2] 549554(91.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [33] 99.2% hash-ref! [140] 0.4% simplify [32] 0.4% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [3] 546116(91.3%) 608(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 99.9% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [4] 384080(64.2%) 824(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 99.9% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [5] 368924(61.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [6] 224080(37.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [21] 99.7% partition-list [29] 0.3% -------------------------------------------------------------------------------- loop [135] 1.4% map [126] 15.4% for-loop [103] 40.4% parse-loop12 [93] 42.1% [7] 32648(5.5%) 462(0.1%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [22] 98.6% -------------------------------------------------------------------------------- f6 [120] 100.0% [8] 26634(4.5%) 5996(1.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [23] 77.5% -------------------------------------------------------------------------------- loop [135] 3.0% ??? [31] 97.0% [9] 13220(2.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [25] 56.9% for-loop [27] 23.4% iterate-egraph!5 [35] 18.0% loop [38] 1.7% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [10] 10924(1.8%) 522(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [24] 95.2% -------------------------------------------------------------------------------- loop [135] 8.5% parse-loop12 [93] 36.7% map [126] 54.8% [11] 8094(1.4%) 1178(0.2%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [37] 41.5% for-loop [26] 41.0% foldl [146] 3.0% -------------------------------------------------------------------------------- map [126] 9.2% f6 [120] 90.8% [12] 2294(0.4%) 410(0.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [135] 35.9% debug-print [43] 28.6% debug7 [44] 17.6% -------------------------------------------------------------------------------- f6 [120] 100.0% [13] 1960(0.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [28] 78.5% simplify [32] 21.5% -------------------------------------------------------------------------------- post-process [62] 16.6% loop [135] 83.4% [14] 1208(0.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [25] 100.0% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [15] 1186(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [140] 57.5% for-loop [30] 42.5% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [16] 200(0.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [28] 100.0% -------------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [17] 589698(98.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% -------------------------------------------------------------------------------- ??? [3] 100.0% [18] 545708(91.3%) 1800(0.3%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [33] 89.5% hash-ref! [140] 8.8% simplify [32] 1.7% -------------------------------------------------------------------------------- ??? [4] 100.0% [19] 384080(64.2%) 898(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [140] 99.7% simplify [32] 0.2% -------------------------------------------------------------------------------- ??? [5] 99.9% [20] 369146(61.7%) 536(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [140] 99.8% simplify [32] 0.1% -------------------------------------------------------------------------------- ??? [6] 100.0% [21] 223436(37.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [34] 100.0% -------------------------------------------------------------------------------- make-multiplication-node [7] 100.0% [22] 32186(5.4%) 4710(0.8%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [149] 50.7% for-loop [36] 32.5% compose [136] 2.1% -------------------------------------------------------------------------------- combine-mterms [8] 100.0% [23] 20638(3.5%) 11316(1.9%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [140] 45.2% -------------------------------------------------------------------------------- ??? [10] 100.0% [24] 10402(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [93] 100.0% -------------------------------------------------------------------------------- completely-simplify-alt [14] 13.8% simplify [9] 86.2% [25] 8736(1.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [35] 97.7% loop [38] 2.3% -------------------------------------------------------------------------------- ??? [11] 100.0% [26] 3320(0.6%) 422(0.1%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [37] 87.3% -------------------------------------------------------------------------------- simplify [9] 100.0% [27] 3092(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [35] 100.0% -------------------------------------------------------------------------------- taylor-quotient [16] 7.5% taylor-sqrt [138] 35.1% taylor-invert [13] 57.4% [28] 2678(0.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [140] 100.0% -------------------------------------------------------------------------------- ??? [6] 100.0% [29] 644(0.1%) 0(0.0%) partition-list ...herbie/src/core/taylor.rkt:376:0 loop [135] 34.5% aux [39] 34.5% rle [147] 31.1% -------------------------------------------------------------------------------- ??? [15] 100.0% [30] 604(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [140] 100.0% -------------------------------------------------------------------------------- for-loop [84] 0.7% run [17] 49.6% [31] 590726(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.5% run-improve58 [40] 48.3% loop [53] 1.4% simplify [9] 0.7% -------------------------------------------------------------------------------- for-loop [20] 0.0% taylor-invert [13] 0.1% taylor-sqrt [138] 0.1% loop [135] 0.1% for-loop [19] 0.2% ??? [2] 0.4% parse-loop12 [93] 0.5% for-loop [18] 14.4% hash-ref! [140] 83.0% [32] 550804(92.1%) 1318(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [120] 62.4% parse-loop12 [93] 34.9% debug-print [43] 1.3% simplify-node [41] 0.5% debug7 [44] 0.4% simplify* [143] 0.1% make-addition-node [131] 0.0% -------------------------------------------------------------------------------- ??? [2] 11.3% for-loop [18] 88.7% [33] 547812(91.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [140] 100.0% -------------------------------------------------------------------------------- for-loop [21] 100.0% [34] 223436(37.4%) 426(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [140] 99.8% -------------------------------------------------------------------------------- simplify [9] 17.0% for-loop [27] 22.1% simplify-expr [25] 60.9% [35] 14004(2.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [42] 92.8% map-enodes [47] 7.2% -------------------------------------------------------------------------------- make-multiplication-subnode [22] 100.0% [36] 10464(1.8%) 4920(0.8%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [45] 19.6% compose [136] 13.6% partition [48] 9.0% map [126] 6.5% loop [135] 4.3% -------------------------------------------------------------------------------- for-loop [46] 9.5% for-loop [26] 42.6% ??? [11] 47.9% [37] 6254(1.0%) 4880(0.8%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [46] 16.9% constant? [151] 12.8% -------------------------------------------------------------------------------- simplify-expr [25] 48.1% simplify [9] 51.9% [38] 424(0.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [49] 100.0% -------------------------------------------------------------------------------- partition-list [29] 20.0% aux [39] 80.0% [39] 222(0.0%) 222(0.0%) aux ...e/ztatlock/herbie/src/core/taylor.rkt:377:2 aux [39] 80.0% -------------------------------------------------------------------------------- ??? [31] 100.0% [40] 574754(96.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [50] 50.8% finalize-table! [51] 49.1% loop [53] 0.1% get-final-combination [59] 0.1% -------------------------------------------------------------------------------- for-loop [103] 0.3% loop [135] 0.4% parse-loop12 [93] 1.3% simplify [32] 2.3% map [126] 95.6% [41] 123478(20.7%) 4604(0.8%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [82] 40.0% f6 [120] 37.6% combine-aterms [52] 18.4% gather-additive-terms6 [129] 0.5% constant? [151] 0.3% loop [135] 0.2% -------------------------------------------------------------------------------- iterate-egraph!5 [35] 100.0% [42] 12996(2.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [54] 69.7% loop [56] 30.3% -------------------------------------------------------------------------------- taylor [12] 8.1% simplify [32] 91.9% [43] 8084(1.4%) 1714(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [55] 78.8% -------------------------------------------------------------------------------- taylor [12] 15.7% simplify [32] 84.3% [44] 2576(0.4%) 1308(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [57] 23.4% ??? [86] 17.9% return/no-unsupplied [60] 7.8% -------------------------------------------------------------------------------- make-multiplication-subsubsubnode [45] 16.7% for-loop [36] 83.3% [45] 2050(0.3%) 2050(0.3%) make-multiplication-subsubsubnode ...uce.rkt:253:0 make-multiplication-subsubsubnode [45] 16.7% -------------------------------------------------------------------------------- pattern-match [37] 100.0% [46] 1650(0.3%) 464(0.1%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 pattern-match [37] 71.9% -------------------------------------------------------------------------------- iterate-egraph!5 [35] 100.0% [47] 1008(0.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [135] 80.0% for-loop [145] 20.0% -------------------------------------------------------------------------------- for-loop [36] 100.0% [48] 938(0.2%) 938(0.2%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------------- loop [38] 100.0% [49] 424(0.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [58] 100.0% -------------------------------------------------------------------------------- run-improve58 [40] 100.0% [50] 291838(48.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [61] 100.0% -------------------------------------------------------------------------------- run-improve58 [40] 100.0% [51] 282098(47.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [62] 100.0% -------------------------------------------------------------------------------- simplify-node [41] 100.0% [52] 22700(3.8%) 1106(0.2%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [63] 95.1% -------------------------------------------------------------------------------- run-improve58 [40] 2.5% ??? [31] 97.5% [53] 16388(2.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [64] 41.2% make-exacts* [73] 35.9% loop [74] 21.7% for-loop [69] 1.2% -------------------------------------------------------------------------------- for-loop [54] 48.9% one-iter [42] 51.1% [54] 9062(1.5%) 2438(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [54] 48.9% match-e [75] 36.5% -------------------------------------------------------------------------------- debug-print [43] 100.0% [55] 6370(1.1%) 6370(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- one-iter [42] 100.0% [56] 3934(0.7%) 200(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [65] 94.9% -------------------------------------------------------------------------------- debug7 [44] 100.0% [57] 604(0.1%) 404(0.1%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [170] 33.1% -------------------------------------------------------------------------------- pass [49] 100.0% [58] 424(0.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [66] 100.0% -------------------------------------------------------------------------------- run-improve58 [40] 100.0% [59] 402(0.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [67] 100.0% -------------------------------------------------------------------------------- debug7 [44] 100.0% [60] 202(0.0%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [68] 100.0% -------------------------------------------------------------------------------- for-loop [50] 100.0% [61] 291838(48.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 gen-series! [71] 95.2% simplify! [72] 4.4% finalize-iter! [77] 0.3% gen-rewrites! [81] 0.1% -------------------------------------------------------------------------------- finalize-table! [51] 100.0% [62] 282098(47.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [70] 99.3% loop [135] 0.5% ??? [86] 0.1% completely-simplify-alt [14] 0.1% -------------------------------------------------------------------------------- combine-aterms [52] 100.0% [63] 21594(3.6%) 6462(1.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [140] 70.1% -------------------------------------------------------------------------------- loop [53] 100.0% [64] 6748(1.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [74] 62.4% make-exacts* [73] 37.6% -------------------------------------------------------------------------------- loop [56] 100.0% [65] 3734(0.6%) 200(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [76] 40.4% loop! [144] 21.5% match-e [75] 11.2% update-leader! [87] 10.8% for-loop [79] 10.7% -------------------------------------------------------------------------------- for-loop [58] 100.0% [66] 424(0.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [78] 100.0% -------------------------------------------------------------------------------- get-final-combination [59] 100.0% [67] 402(0.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [135] 100.0% -------------------------------------------------------------------------------- return/no-unsupplied [60] 100.0% [68] 202(0.0%) 202(0.0%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------------- loop [53] 100.0% [69] 200(0.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [80] 100.0% -------------------------------------------------------------------------------- post-process [62] 100.0% [70] 280246(46.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [82] 100.0% -------------------------------------------------------------------------------- run-iter! [61] 100.0% [71] 277784(46.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [83] 100.0% -------------------------------------------------------------------------------- run-iter! [61] 100.0% [72] 12818(2.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [84] 100.0% -------------------------------------------------------------------------------- loop [64] 30.2% loop [53] 69.8% [73] 8418(1.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [135] 60.0% map [126] 40.0% -------------------------------------------------------------------------------- loop [53] 45.8% loop [64] 54.2% [74] 7770(1.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [126] 94.2% loop [135] 5.8% -------------------------------------------------------------------------------- for-loop [96] 2.9% apply-match [65] 4.5% for-loop [54] 92.6% [75] 7044(1.2%) 4558(0.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [85] 31.0% loop [135] 5.7% for-loop [96] 1.4% -------------------------------------------------------------------------------- for-loop [89] 4.9% merge-egraph-nodes! [76] 4.9% apply-match [65] 90.2% [76] 1508(0.3%) 402(0.1%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [87] 58.6% merge-egraph-nodes! [76] 4.9% for-loop [89] 4.9% loop! [144] 4.9% -------------------------------------------------------------------------------- run-iter! [61] 100.0% [77] 826(0.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [86] 100.0% -------------------------------------------------------------------------------- argmin [66] 100.0% [78] 424(0.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [88] 100.0% -------------------------------------------------------------------------------- apply-match [65] 100.0% [79] 400(0.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [144] 50.0% substitute-e [90] 50.0% -------------------------------------------------------------------------------- for-loop [69] 100.0% [80] 200(0.0%) 200(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 -------------------------------------------------------------------------------- run-iter! [61] 100.0% [81] 200(0.0%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [91] 100.0% -------------------------------------------------------------------------------- append-map [82] 0.1% parse-loop12 [93] 0.5% simplify-node [41] 2.1% f6 [120] 35.8% for-loop [70] 61.5% [82] 352270(58.9%) 19900(3.3%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [92] 60.4% f6 [120] 32.0% parse-loop12 [93] 3.8% loop [135] 1.6% free-variables [141] 0.9% gather-additive-terms6 [129] 0.2% append-map [82] 0.1% loop [133] 0.0% -------------------------------------------------------------------------------- gen-series! [71] 100.0% [83] 277784(46.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [92] 100.0% -------------------------------------------------------------------------------- simplify! [72] 100.0% [84] 12818(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% -------------------------------------------------------------------------------- match-e [75] 100.0% [85] 2284(0.4%) 1020(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [96] 36.9% curry* [98] 9.6% list-cartesian-product [99] 8.8% -------------------------------------------------------------------------------- post-process [62] 14.7% debug7 [44] 30.6% finalize-iter! [77] 54.7% [86] 1510(0.3%) 240(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [94] 69.4% assoc-has-key? [97] 14.7% -------------------------------------------------------------------------------- apply-match [65] 31.3% merge-egraph-nodes! [76] 68.7% [87] 1286(0.2%) 242(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [95] 81.2% -------------------------------------------------------------------------------- expression-cost [78] 100.0% [88] 424(0.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [140] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [76] 100.0% [89] 222(0.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [76] 100.0% -------------------------------------------------------------------------------- for-loop [79] 100.0% [90] 200(0.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [100] 100.0% -------------------------------------------------------------------------------- gen-rewrites! [81] 100.0% [91] 200(0.0%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [101] 100.0% -------------------------------------------------------------------------------- loop [135] 0.7% append-map [82] 49.5% for-loop [83] 49.8% [92] 558030(93.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [102] 100.0% -------------------------------------------------------------------------------- hash-ref! [140] 0.1% composed [127] 0.3% f6 [120] 1.1% make-addition-node [131] 1.8% for-loop [24] 2.3% loop [135] 11.2% append-map [82] 14.0% simplify [32] 16.3% parse-loop12 [93] 26.4% map [126] 26.5% [93] 447136(74.8%) 266198(44.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [93] 26.4% loop [135] 14.1% map [126] 8.7% f6 [120] 8.5% for-loop [103] 4.7% parse-app [128] 2.9% make-multiplication-node [7] 2.7% make-addition-node [131] 1.8% append-map [82] 0.9% simplify [32] 0.6% simplify-node [41] 0.4% gather-additive-terms6 [129] 0.2% ??? [11] 0.2% simplify* [143] 0.1% gather-multiplicative-terms [130] 0.0% -------------------------------------------------------------------------------- ??? [86] 100.0% [94] 1048(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [104] 100.0% -------------------------------------------------------------------------------- update-leader! [87] 100.0% [95] 1044(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [105] 100.0% -------------------------------------------------------------------------------- match-e [75] 19.3% for-loop [85] 80.7% [96] 1044(0.2%) 642(0.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [75] 38.5% -------------------------------------------------------------------------------- ??? [86] 100.0% [97] 222(0.0%) 222(0.0%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 -------------------------------------------------------------------------------- for-loop [85] 100.0% [98] 220(0.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [106] 100.0% -------------------------------------------------------------------------------- for-loop [85] 100.0% [99] 202(0.0%) 202(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 -------------------------------------------------------------------------------- substitute-e [90] 100.0% [100] 200(0.0%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [107] 100.0% -------------------------------------------------------------------------------- for-loop [91] 100.0% [101] 200(0.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [108] 100.0% -------------------------------------------------------------------------------- taylor-alt [92] 100.0% [102] 558030(93.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [109] 100.0% -------------------------------------------------------------------------------- parse-loop12 [93] 100.0% [103] 41226(6.9%) 664(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f6 [120] 64.4% make-multiplication-node [7] 32.0% simplify-node [41] 2.0% -------------------------------------------------------------------------------- for-loop [94] 100.0% [104] 1048(0.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [110] 100.0% -------------------------------------------------------------------------------- for-loop [95] 100.0% [105] 1044(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [111] 100.0% -------------------------------------------------------------------------------- curry* [98] 100.0% [106] 220(0.0%) 220(0.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------------- mk-enode! [100] 100.0% [107] 200(0.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [155] 100.0% -------------------------------------------------------------------------------- ??? [101] 14.3% matcher [118] 85.7% [108] 200(0.0%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [113] 85.7% *rules* [112] 14.3% -------------------------------------------------------------------------------- location-do [109] 0.3% for-loop [102] 99.7% [109] 558030(93.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [114] 99.7% location-do [109] 0.3% -------------------------------------------------------------------------------- atab-add-altn [104] 100.0% [110] 1048(0.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [116] 59.5% errors [117] 40.5% -------------------------------------------------------------------------------- for-loop [105] 100.0% [111] 1044(0.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? 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[111] 100.0% [115] 1044(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [121] 100.0% -------------------------------------------------------------------------------- best-and-tied-at-points [110] 100.0% [116] 624(0.1%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [122] 100.0% -------------------------------------------------------------------------------- best-and-tied-at-points [110] 100.0% [117] 424(0.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [123] 52.4% for-loop [124] 47.6% -------------------------------------------------------------------------------- matcher [118] 8.3% for-loop [125] 41.7% for-loop [113] 50.0% [118] 200(0.0%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [108] 50.0% for-loop [125] 41.7% matcher [118] 8.3% -------------------------------------------------------------------------------- approximate9 [114] 100.0% [119] 555302(92.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [140] 100.0% -------------------------------------------------------------------------------- ??? [134] 0.0% hash-ref! [140] 0.2% approximate9 [114] 0.3% for-loop [103] 0.4% simplify-node [41] 0.5% composed [127] 1.0% f6 [120] 1.4% parse-loop12 [93] 4.7% loop [135] 5.5% append-map [82] 14.7% simplify [32] 25.6% map [126] 45.8% [120] 370078(61.9%) 46490(7.8%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [126] 73.2% append-map [82] 16.1% composed [127] 1.5% f6 [120] 1.4% gather-multiplicative-terms [130] 0.9% combine-mterms [8] 0.7% parse-app [128] 0.6% compose [136] 0.4% parse-loop12 [93] 0.2% taylor [12] 0.1% taylor-invert [13] 0.1% taylor-sqrt [138] 0.0% gather-additive-terms6 [129] 0.0% -------------------------------------------------------------------------------- ??? [115] 100.0% [121] 1044(0.2%) 1044(0.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -------------------------------------------------------------------------------- for-loop [116] 100.0% [122] 624(0.1%) 624(0.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------------- errors [117] 100.0% [123] 222(0.0%) 222(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 -------------------------------------------------------------------------------- errors [117] 100.0% [124] 202(0.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? 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[142] 0.1% taylor [12] 0.0% -------------------------------------------------------------------------------- f6 [120] 100.0% [127] 53030(8.9%) 1770(0.3%) composed ...ollects/racket/private/list.rkt:321:16 f6 [120] 89.5% parse-loop12 [93] 3.8% free-variables [141] 3.0% loop [133] 0.4% -------------------------------------------------------------------------------- f6 [120] 16.0% parse-loop12 [93] 84.0% [128] 26984(4.5%) 23172(3.9%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [132] 14.1% -------------------------------------------------------------------------------- simplify-node [41] 12.0% parse-loop12 [93] 16.9% f6 [120] 17.8% append-map [82] 53.2% [129] 5176(0.9%) 4934(0.8%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 constant? [151] 4.7% -------------------------------------------------------------------------------- parse-loop12 [93] 1.0% gather-multiplicative-terms [130] 1.2% map [126] 39.3% f6 [120] 58.5% [130] 35444(5.9%) 28544(4.8%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [126] 43.0% compose [136] 6.0% curried [139] 3.1% gather-multiplicative-terms [130] 1.2% -------------------------------------------------------------------------------- simplify [32] 2.8% map [126] 10.1% parse-loop12 [93] 87.1% [131] 8606(1.4%) 2932(0.5%) make-addition-node ...ie/src/core/reduce.rkt:199:0 parse-loop12 [93] 88.4% loop [137] 3.7% loop [135] 1.0% -------------------------------------------------------------------------------- loop [132] 21.3% parse-app [128] 78.7% [132] 3812(0.6%) 3812(0.6%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [132] 21.3% -------------------------------------------------------------------------------- loop [133] 6.1% composed [127] 11.4% append-map [82] 82.5% [133] 1852(0.3%) 1852(0.3%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [133] 6.1% -------------------------------------------------------------------------------- loop [135] 45.9% map [126] 54.1% [134] 1262(0.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [140] 50.1% taylor-sqrt [138] 34.1% f6 [120] 15.8% -------------------------------------------------------------------------------- loop [74] 0.0% map-enodes [47] 0.0% extract-alt [67] 0.0% partition-list [29] 0.0% post-process [62] 0.1% loop! [144] 0.1% make-exacts* [73] 0.1% simplify-node [41] 0.1% match-e [75] 0.2% make-addition-node [131] 0.2% for-loop [36] 0.2% taylor [12] 0.3% append-map [82] 3.1% map [126] 12.1% parse-loop12 [93] 29.5% loop [135] 54.1% [135] 245820(41.1%) 6810(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [135] 54.1% parse-loop12 [93] 27.8% f6 [120] 14.0% taylor-alt [92] 1.4% simplify [32] 0.3% ??? [142] 0.2% ??? [11] 0.2% foldl [146] 0.1% simplify* [143] 0.1% make-multiplication-node [7] 0.1% loop! [144] 0.1% completely-simplify-alt [14] 0.0% rle [147] 0.0% simplify [9] 0.0% ??? [134] 0.0% for-loop [145] 0.0% simplify-node [41] 0.0% free-variables [141] 0.0% ??? [159] 0.0% -------------------------------------------------------------------------------- make-multiplication-subnode [22] 8.9% for-loop [36] 18.6% gather-multiplicative-terms [130] 35.1% f6 [120] 37.4% [136] 7664(1.3%) 7664(1.3%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- make-addition-node [131] 100.0% [137] 2038(0.3%) 2038(0.3%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------------- f6 [120] 10.4% ??? [134] 22.3% map [126] 67.3% [138] 1924(0.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [28] 48.9% simplify [32] 40.7% hash-ref! 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[15] 0.0% taylor-quotient [16] 0.0% -------------------------------------------------------------------------------- loop [135] 1.1% composed [127] 7.5% append-map [82] 91.4% [141] 21166(3.5%) 18498(3.1%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [151] 10.6% -------------------------------------------------------------------------------- for-loop [124] 1.2% map [126] 1.3% loop [135] 97.5% [142] 16390(2.7%) 964(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [150] 66.3% real->bigfloat [152] 20.8% ??? [170] 4.4% ->flonum [157] 1.2% -------------------------------------------------------------------------------- loop [135] 6.1% simplify [32] 13.4% parse-loop12 [93] 35.0% map [126] 45.6% [143] 3300(0.6%) 2880(0.5%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 constant? [151] 12.7% -------------------------------------------------------------------------------- for-loop [79] 16.3% merge-egraph-nodes! [76] 18.1% loop [135] 24.6% apply-match [65] 40.9% [144] 1226(0.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [153] 59.0% loop [135] 24.6% set [155] 8.2% update-en-expr [158] 8.2% -------------------------------------------------------------------------------- map-enodes [47] 20.0% loop [135] 80.0% [145] 1008(0.2%) 200(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [154] 80.2% -------------------------------------------------------------------------------- loop [135] 45.9% ??? [11] 54.1% [146] 444(0.1%) 240(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [156] 45.9% -------------------------------------------------------------------------------- partition-list [29] 47.4% loop [135] 52.6% [147] 422(0.1%) 0(0.0%) rle ...e/ztatlock/herbie/src/core/taylor.rkt:372:0 group-by68 [149] 100.0% -------------------------------------------------------------------------------- hash-ref! [140] 100.0% [148] 239556(40.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [140] 100.0% -------------------------------------------------------------------------------- rle [147] 2.5% make-multiplication-subnode [22] 97.5% [149] 16750(2.8%) 13754(2.3%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [160] 17.9% -------------------------------------------------------------------------------- ??? [142] 100.0% [150] 10864(1.8%) 224(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [159] 83.1% ...higher-order.rkt:373:33 [161] 14.9% -------------------------------------------------------------------------------- gather-additive-terms6 [129] 5.7% simplify* [143] 9.8% simplify-node [41] 10.8% pattern-match [37] 21.3% free-variables [141] 52.5% [151] 4282(0.7%) 4282(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- ??? [142] 100.0% [152] 3414(0.6%) 1982(0.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [169] 41.9% -------------------------------------------------------------------------------- loop! [144] 100.0% [153] 824(0.1%) 402(0.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [162] 26.9% for-loop [164] 24.3% -------------------------------------------------------------------------------- for-loop [145] 100.0% [154] 808(0.1%) 808(0.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 -------------------------------------------------------------------------------- new-enode [107] 49.8% loop! [144] 50.2% [155] 402(0.1%) 402(0.1%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------------- foldl [146] 100.0% [156] 204(0.0%) 204(0.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------------- ??? [142] 100.0% [157] 202(0.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [163] 100.0% -------------------------------------------------------------------------------- loop! [144] 100.0% [158] 200(0.0%) 200(0.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- loop [135] 4.5% ??? [150] 95.5% [159] 9448(1.6%) 2900(0.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [165] 38.7% bfsqr [166] 26.3% ??? [171] 4.3% -------------------------------------------------------------------------------- group-by68 [149] 100.0% [160] 2996(0.5%) 2996(0.5%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------------- ??? [150] 100.0% [161] 1614(0.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [167] 56.9% ??? [170] 43.1% -------------------------------------------------------------------------------- custom-set-union [153] 100.0% [162] 222(0.0%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [168] 100.0% -------------------------------------------------------------------------------- ->flonum [157] 100.0% [163] 202(0.0%) 202(0.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- custom-set-union [153] 100.0% [164] 200(0.0%) 200(0.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------------- ??? [159] 100.0% [165] 3656(0.6%) 2730(0.5%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [169] 25.3% -------------------------------------------------------------------------------- ??? [159] 100.0% [166] 2482(0.4%) 1778(0.3%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [169] 28.4% -------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [161] 100.0% [167] 918(0.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [170] 100.0% -------------------------------------------------------------------------------- for-loop [162] 100.0% [168] 222(0.0%) 222(0.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- bfsqr [166] 23.0% bfsub [165] 30.2% real->bigfloat [152] 46.8% [169] 3062(0.5%) 3062(0.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- ??? [57] 7.9% ...higher-order.rkt:373:33 [161] 27.5% ??? [142] 28.4% ??? [167] 36.3% [170] 2532(0.4%) 224(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [171] 83.3% dict? [172] 7.9% -------------------------------------------------------------------------------- ??? [159] 16.3% ??? [170] 83.7% [171] 2518(0.4%) 1634(0.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [173] 35.1% -------------------------------------------------------------------------------- ??? [170] 100.0% [172] 200(0.0%) 200(0.0%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------------------- ??? [171] 100.0% [173] 884(0.1%) 442(0.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [174] 50.0% -------------------------------------------------------------------------------- ??? [173] 100.0% [174] 442(0.1%) 442(0.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------------