Profiling results ----------------- Total cpu time observed: 240784ms (out of 243412ms) Number of samples taken: 1021 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 9 of 199 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [43] 100.0% [1] 233434(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% -------------------------------------------------------------------------- ??? [43] 100.0% [2] 95136(39.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 64.9% finalize-table! [12] 19.0% loop [50] 8.5% get-final-combination [14] 6.2% setup-prog [16] 1.4% -------------------------------------------------------------------------- simplify-alt [25] 2.1% loop [133] 8.8% ??? [43] 89.1% [3] 64900(27.0%) 336(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [22] 58.9% iterate-egraph!5 [27] 28.8% for-loop [13] 10.5% loop [30] 1.3% -------------------------------------------------------------------------- post-process [23] 3.2% loop [133] 96.8% [4] 9952(4.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [22] 100.0% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [5] 1894(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [120] 60.6% for-loop [18] 39.4% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [6] 1688(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [7] 1266(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% -------------------------------------------------------------------------- f143 [140] 100.0% [8] 1102(0.5%) 222(0.1%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [19] 79.9% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [9] 202(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [20] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.8% [10] 233864(97.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [43] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 61732(25.6%) 200(0.1%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 99.7% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 18064(7.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [23] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [13] 6800(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [27] 87.3% loop [30] 6.8% simplify-expr [22] 5.9% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 5942(2.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [24] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [15] 1688(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [120] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 1340(0.6%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [25] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [17] 1266(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [120] 82.6% simplify [124] 17.4% -------------------------------------------------------------------------- ??? [5] 100.0% [18] 1048(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [120] 100.0% -------------------------------------------------------------------------- combine-mterms [8] 100.0% [19] 880(0.4%) 658(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [120] 25.2% -------------------------------------------------------------------------- ??? [9] 100.0% [20] 202(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [26] 100.0% -------------------------------------------------------------------------- for-loop [11] 100.0% [21] 61532(25.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [28] 94.3% gen-series! [31] 2.9% finalize-iter! [32] 2.5% -------------------------------------------------------------------------- for-loop [13] 0.8% completely-simplify-alt [4] 20.5% simplify [3] 78.7% [22] 48610(20.2%) 200(0.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [27] 90.9% loop [30] 8.3% mk-egraph [34] 0.4% -------------------------------------------------------------------------- finalize-table! [12] 100.0% [23] 18064(7.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [133] 56.8% for-loop [29] 35.6% ??? [40] 4.7% completely-simplify-alt [4] 1.8% -------------------------------------------------------------------------- get-final-combination [14] 100.0% [24] 5942(2.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [133] 96.3% loop [33] 3.7% -------------------------------------------------------------------------- setup-prog [16] 100.0% [25] 1340(0.6%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- for-loop [20] 100.0% [26] 202(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [120] 100.0% -------------------------------------------------------------------------- for-loop [13] 8.6% simplify [3] 27.2% simplify-expr [22] 64.2% [27] 68796(28.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [35] 96.2% map-enodes [39] 3.5% debug7 [166] 0.3% -------------------------------------------------------------------------- run-iter! [21] 100.0% [28] 58040(24.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [36] 100.0% -------------------------------------------------------------------------- post-process [23] 100.0% [29] 6426(2.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [37] 100.0% -------------------------------------------------------------------------- for-loop [13] 8.6% simplify [3] 15.3% simplify-expr [22] 76.0% [30] 5318(2.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [38] 100.0% -------------------------------------------------------------------------- run-iter! [21] 100.0% [31] 1764(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [41] 100.0% -------------------------------------------------------------------------- run-iter! [21] 100.0% [32] 1508(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [40] 100.0% -------------------------------------------------------------------------- extract-alt [24] 100.0% [33] 222(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [152] 100.0% -------------------------------------------------------------------------- simplify-expr [22] 100.0% [34] 202(0.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [42] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [35] 66166(27.5%) 1872(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [44] 52.0% loop [45] 43.3% apply-match [51] 1.9% -------------------------------------------------------------------------- simplify! [28] 100.0% [36] 58040(24.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [43] 99.7% debug-print [164] 0.3% -------------------------------------------------------------------------- append-map [37] 2.0% simplify-node [96] 2.5% f143 [140] 8.8% for-loop [29] 86.7% [37] 6626(2.8%) 200(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [46] 77.2% loop [133] 9.4% f143 [140] 5.8% parse-loop12 [128] 3.5% append-map [37] 2.0% loop [49] 0.8% -------------------------------------------------------------------------- loop [30] 100.0% [38] 5318(2.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [47] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [27] 100.0% [39] 2428(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [133] 100.0% -------------------------------------------------------------------------- post-process [23] 35.8% finalize-iter! [32] 64.2% [40] 2350(1.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [48] 100.0% -------------------------------------------------------------------------- gen-series! [31] 100.0% [41] 1764(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [46] 100.0% -------------------------------------------------------------------------- mk-egraph [34] 100.0% [42] 202(0.1%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 mk-enode! [83] 100.0% -------------------------------------------------------------------------- for-loop [36] 8.3% run [10] 45.2% [43] 239256(99.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.0% loop [50] 30.5% run-improve58 [2] 16.2% simplify [3] 8.3% -------------------------------------------------------------------------- for-loop [44] 48.7% one-iter [35] 51.3% [44] 34402(14.3%) 8688(3.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [44] 48.7% match-e [59] 37.4% -------------------------------------------------------------------------- one-iter [35] 100.0% [45] 28646(11.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [51] 100.0% -------------------------------------------------------------------------- loop [133] 7.6% for-loop [41] 21.5% append-map [37] 70.8% [46] 8190(3.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [52] 100.0% -------------------------------------------------------------------------- pass [38] 100.0% [47] 5318(2.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [53] 54.2% loop [55] 19.2% for-loop [56] 19.1% make-sequence [156] 3.8% filter [57] 3.8% -------------------------------------------------------------------------- ??? [40] 100.0% [48] 2350(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [54] 100.0% -------------------------------------------------------------------------- loop [49] 50.0% append-map [37] 50.0% [49] 200(0.1%) 200(0.1%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [49] 50.0% -------------------------------------------------------------------------- run-improve58 [2] 5.3% ??? [43] 94.7% [50] 152178(63.2%) 478(0.2%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [58] 52.7% make-exacts* [68] 30.4% loop [69] 16.4% for-loop [65] 0.3% -------------------------------------------------------------------------- one-iter [35] 4.2% loop [45] 95.8% [51] 29892(12.4%) 1024(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [70] 40.2% for-loop [61] 17.3% match-e [59] 15.6% loop! [139] 10.2% substitute-e [73] 6.8% mk-enode! [83] 3.4% reduce-to-single! [64] 2.9% -------------------------------------------------------------------------- taylor-alt [46] 100.0% [52] 8190(3.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [60] 100.0% -------------------------------------------------------------------------- for-loop [47] 100.0% [53] 2884(1.2%) 200(0.1%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [62] 86.1% for-loop [67] 6.9% -------------------------------------------------------------------------- for-loop [48] 100.0% [54] 2350(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [63] 91.4% override-at-pnts [66] 8.6% -------------------------------------------------------------------------- for-loop [47] 100.0% [55] 1020(0.4%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [62] 100.0% -------------------------------------------------------------------------- for-loop [47] 100.0% [56] 1014(0.4%) 1014(0.4%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [47] 100.0% [57] 200(0.1%) 200(0.1%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- loop [50] 100.0% [58] 80156(33.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [68] 46.7% loop [69] 46.5% eval-prog [79] 6.9% -------------------------------------------------------------------------- apply-match [51] 12.0% for-loop [80] 14.3% for-loop [44] 73.8% [59] 30374(12.6%) 16470(6.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [71] 35.6% for-loop [80] 7.8% loop [133] 3.3% list-cartesian-product [84] 2.4% curry* [88] 1.0% -------------------------------------------------------------------------- location-do [60] 42.4% for-loop [52] 57.6% [60] 8190(3.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [81] 53.9% location-do [60] 42.4% loop [76] 3.7% -------------------------------------------------------------------------- apply-match [51] 100.0% [61] 5184(2.2%) 242(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [139] 48.0% merge-egraph-nodes! [70] 31.8% substitute-e [73] 11.7% mk-enode! [83] 3.9% -------------------------------------------------------------------------- loop [55] 29.1% argmin [53] 70.9% [62] 3504(1.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [72] 100.0% -------------------------------------------------------------------------- atab-add-altn [54] 100.0% [63] 2148(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [74] 100.0% -------------------------------------------------------------------------- apply-match [51] 100.0% [64] 868(0.4%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [75] 100.0% -------------------------------------------------------------------------- loop [50] 100.0% [65] 442(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [77] 100.0% -------------------------------------------------------------------------- atab-add-altn [54] 100.0% [66] 202(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [74] 100.0% -------------------------------------------------------------------------- argmin [53] 100.0% [67] 200(0.1%) 200(0.1%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- loop [58] 44.7% loop [50] 55.3% [68] 83616(34.7%) 450(0.2%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [78] 50.4% loop [133] 43.7% eval-prog [79] 5.4% -------------------------------------------------------------------------- loop [50] 40.1% loop [58] 59.9% [69] 62134(25.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 3.7% for-loop [87] 4.6% for-loop [61] 12.1% apply-match [51] 79.6% [70] 13674(5.7%) 602(0.3%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [82] 50.9% for-loop [85] 13.5% loop! [139] 11.4% for-loop [87] 8.4% merge-egraph-nodes! [70] 3.7% for-loop [89] 3.3% enode-merge! [90] 2.9% make-sequence [156] 1.5% -------------------------------------------------------------------------- match-e [59] 100.0% [71] 13354(5.5%) 5514(2.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [80] 41.8% list-cartesian-product [84] 9.4% loop [133] 5.8% curry* [88] 3.7% foldl [144] 1.6% -------------------------------------------------------------------------- expression-cost [62] 100.0% [72] 3504(1.5%) 440(0.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [120] 87.4% -------------------------------------------------------------------------- substitute-e [73] 12.1% for-loop [61] 19.0% apply-match [51] 68.9% [73] 2650(1.1%) 1042(0.4%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [83] 60.7% substitute-e [73] 12.1% -------------------------------------------------------------------------- override-at-pnts [66] 7.9% composed [152] 8.6% best-and-tied-at-points [63] 83.5% [74] 2572(1.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [86] 65.0% eval-prog [79] 35.0% -------------------------------------------------------------------------- reduce-to-single! [64] 100.0% [75] 868(0.4%) 868(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- location-do [60] 100.0% [76] 604(0.3%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [81] 100.0% -------------------------------------------------------------------------- for-loop [65] 100.0% [77] 442(0.2%) 230(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [91] 48.0% -------------------------------------------------------------------------- parse-loop12 [128] 0.5% f143 [140] 5.4% make-exacts* [68] 38.0% loop [69] 56.1% [78] 110788(46.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [133] 93.3% f143 [140] 2.5% parse-loop12 [128] 1.1% ??? [138] 1.0% ??? [95] 0.9% simplify-node [96] 0.5% loop [134] 0.3% taylor-quotient [94] 0.2% taylor-invert [106] 0.2% ??? [108] 0.0% make-multiplication-node [142] 0.0% -------------------------------------------------------------------------- errors [74] 8.3% make-exacts* [68] 41.2% loop [58] 50.5% [79] 10902(4.5%) 1598(0.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [120] 75.3% inductor [97] 10.1% -------------------------------------------------------------------------- match-e [59] 39.2% for-loop [71] 60.8% [80] 9988(4.1%) 1204(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [59] 83.5% ??? [99] 5.4% -------------------------------------------------------------------------- loop [76] 7.4% location-do [60] 92.6% [81] 8190(3.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [93] 75.3% f143 [140] 14.7% taylor-quotient [94] 4.9% taylor-sqrt [104] 2.7% for-loop [105] 2.5% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [82] 7356(3.1%) 818(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [92] 86.2% custom-set-union! [107] 2.7% -------------------------------------------------------------------------- for-loop [61] 6.6% expr->enode [42] 6.7% apply-match [51] 33.8% substitute-e [73] 53.0% [83] 3036(1.3%) 1808(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [100] 20.6% new-enode [101] 19.9% -------------------------------------------------------------------------- list-cartesian-product [84] 12.6% for-loop [71] 42.2% match-e [59] 45.3% [84] 2298(1.0%) 1858(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [102] 14.8% list-cartesian-product [84] 12.6% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [85] 1852(0.8%) 1448(0.6%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [151] 21.8% -------------------------------------------------------------------------- errors [74] 100.0% [86] 1672(0.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [138] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [87] 1670(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [70] 69.2% loop! [139] 30.8% -------------------------------------------------------------------------- match-e [59] 40.2% for-loop [71] 59.8% [88] 1004(0.4%) 198(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [98] 80.3% -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [89] 550(0.2%) 550(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 -------------------------------------------------------------------------- merge-egraph-nodes! [70] 100.0% [90] 402(0.2%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [103] 100.0% -------------------------------------------------------------------------- for-loop [77] 100.0% [91] 212(0.1%) 212(0.1%) sample-default ...rc/syntax/distributions.rkt:11:0 -------------------------------------------------------------------------- update-leader! [82] 100.0% [92] 6338(2.6%) 402(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [109] 93.7% -------------------------------------------------------------------------- approximate9 [81] 100.0% [93] 6164(2.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [120] 100.0% -------------------------------------------------------------------------- map [78] 9.5% approximate9 [81] 18.8% f143 [140] 71.7% [94] 2126(0.9%) 222(0.1%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [110] 51.7% simplify [124] 28.4% compose [159] 9.4% -------------------------------------------------------------------------- loop [133] 46.5% map [78] 53.5% [95] 1526(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [120] 69.7% f143 [140] 30.3% -------------------------------------------------------------------------- parse-loop12 [128] 32.8% map [78] 67.2% [96] 1218(0.5%) 202(0.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [113] 34.0% append-map [37] 33.0% f143 [140] 16.4% -------------------------------------------------------------------------- eval-prog [79] 28.9% inductor [97] 71.1% [97] 1096(0.5%) 454(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [97] 71.1% integer->bigfloat [111] 19.5% -------------------------------------------------------------------------- curry* [88] 100.0% [98] 806(0.3%) 806(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- for-loop [80] 100.0% [99] 644(0.3%) 202(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [112] 68.6% -------------------------------------------------------------------------- mk-enode! [83] 100.0% [100] 624(0.3%) 624(0.3%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- mk-enode! [83] 100.0% [101] 604(0.3%) 202(0.1%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [150] 66.6% -------------------------------------------------------------------------- list-cartesian-product [84] 100.0% [102] 440(0.2%) 440(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- enode-merge! [90] 100.0% [103] 402(0.2%) 202(0.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [148] 49.8% -------------------------------------------------------------------------- approximate9 [81] 100.0% [104] 220(0.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [120] 100.0% -------------------------------------------------------------------------- approximate9 [81] 100.0% [105] 202(0.1%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:18:8 replace-expression [114] 100.0% -------------------------------------------------------------------------- map [78] 100.0% [106] 202(0.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [110] 100.0% -------------------------------------------------------------------------- update-leader! [82] 100.0% [107] 200(0.1%) 200(0.1%) custom-set-union! ...t/private/set-types.rkt:246:0 -------------------------------------------------------------------------- map [78] 100.0% [108] 198(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [115] 100.0% -------------------------------------------------------------------------- for-loop [92] 100.0% [109] 5936(2.5%) 404(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [116] 93.2% -------------------------------------------------------------------------- taylor-invert [106] 15.5% taylor-quotient [94] 84.5% [110] 1302(0.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [120] 84.5% simplify [124] 15.5% -------------------------------------------------------------------------- inductor [97] 100.0% [111] 642(0.3%) 642(0.3%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------------- ??? [99] 100.0% [112] 442(0.2%) 442(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- simplify-node [96] 100.0% [113] 414(0.2%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [117] 100.0% -------------------------------------------------------------------------- for-loop [105] 16.7% replace-expression [114] 83.3% [114] 202(0.1%) 0(0.0%) replace-expression ...erbie/src/programs.rkt:119:0 replace-expression [114] 83.3% for-loop [118] 16.7% -------------------------------------------------------------------------- ??? [108] 100.0% [115] 198(0.1%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [119] 100.0% -------------------------------------------------------------------------- for-loop [109] 100.0% [116] 5532(2.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [121] 100.0% -------------------------------------------------------------------------- combine-aterms [113] 100.0% [117] 414(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [120] 100.0% -------------------------------------------------------------------------- replace-expression [114] 100.0% [118] 202(0.1%) 202(0.1%) for-loop ...ztatlock/herbie/src/programs.rkt:124:4 -------------------------------------------------------------------------- for-loop [115] 100.0% [119] 198(0.1%) 198(0.1%) pattern-match .../herbie/src/core/matcher.rkt:47:0 -------------------------------------------------------------------------- for-loop [26] 0.1% for-loop [19] 0.2% ??? [132] 0.4% for-loop [117] 0.5% for-loop [18] 0.9% taylor-sqrt [104] 1.2% ??? [5] 1.4% for-loop [17] 1.7% for-loop [15] 1.7% first-nonzero-exp [110] 1.8% ??? [95] 3.9% ??? [127] 4.1% ??? [122] 8.0% compile [72] 8.2% ??? [126] 10.2% loop [93] 10.6% loop [133] 20.7% eval-prog [79] 22.7% [120] 18920(7.9%) 3080(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [122] 30.8% bigfloat-hash [123] 22.4% ??? [126] 10.2% simplify [124] 9.2% f143 [140] 5.7% ??? [127] 4.5% parse-loop12 [128] 3.9% ??? [5] 2.2% ??? [7] 2.0% ??? [6] 1.7% ??? [9] 0.1% -------------------------------------------------------------------------- hash-update! [116] 100.0% [121] 5532(2.3%) 198(0.1%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [125] 96.4% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [122] 8422(3.5%) 844(0.4%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [133] 71.0% hash-ref! [120] 24.3% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [123] 7984(3.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [129] 47.2% sig+exp->bigfloat [130] 47.1% bigfloat->sig+exp [131] 5.7% -------------------------------------------------------------------------- first-nonzero-exp [110] 3.0% for-loop [17] 3.3% loop [133] 8.9% taylor-quotient [94] 9.0% hash-ref! [120] 75.8% [124] 6718(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [140] 68.7% debug-print [164] 12.8% parse-loop12 [128] 12.5% debug7 [166] 6.0% -------------------------------------------------------------------------- ??? [121] 100.0% [125] 5334(2.2%) 4514(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [151] 15.4% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [126] 4878(2.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [120] 100.0% -------------------------------------------------------------------------- hash-ref! [120] 100.0% [127] 3594(1.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [120] 93.9% ??? [132] 6.1% -------------------------------------------------------------------------- loop [133] 2.5% append-map [37] 10.1% simplify [124] 18.6% hash-ref! [120] 26.7% map [78] 42.0% [128] 3978(1.7%) 1286(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [133] 24.0% f143 [140] 15.6% for-loop [135] 10.1% map [78] 9.0% make-multiplication-node [142] 5.1% simplify-node [96] 5.0% loop [134] 1.4% -------------------------------------------------------------------------- bigfloat-hash [123] 100.0% [129] 3768(1.6%) 3768(1.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- bigfloat-hash [123] 100.0% [130] 3760(1.6%) 3106(1.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [186] 12.1% integer->mpz [137] 5.3% -------------------------------------------------------------------------- bigfloat-hash [123] 100.0% [131] 456(0.2%) 242(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [136] 46.9% -------------------------------------------------------------------------- ??? [127] 100.0% [132] 220(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [120] 100.0% -------------------------------------------------------------------------- map-enodes [39] 0.1% parse-loop12 [128] 0.3% append-map [37] 0.3% f143 [140] 0.3% for-loop [71] 0.5% match-e [59] 0.5% post-process [23] 0.7% extract-alt [24] 0.9% make-exacts* [68] 1.1% loop! [139] 1.2% map [78] 3.0% ??? [122] 3.2% loop [133] 87.9% [133] 172156(71.5%) 2314(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [133] 87.9% ??? [138] 3.9% hash-ref! [120] 3.2% loop! [139] 1.2% simplify [3] 0.9% completely-simplify-alt [4] 0.6% simplify [124] 0.3% taylor-alt [46] 0.3% ??? [95] 0.2% for-loop [141] 0.1% f143 [140] 0.1% curried [170] 0.1% parse-loop12 [128] 0.1% ->flonum [149] 0.0% foldl [144] 0.0% set-precompute! [145] 0.0% ??? [180] 0.0% bf* [175] 0.0% -------------------------------------------------------------------------- parse-loop12 [128] 0.5% map [78] 48.4% loop [134] 51.1% [134] 644(0.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [134] 51.1% ??? [143] 48.4% ->flonum [149] 0.5% -------------------------------------------------------------------------- parse-loop12 [128] 100.0% [135] 602(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [142] 66.4% f143 [140] 33.6% -------------------------------------------------------------------------- bigfloat->sig+exp [131] 100.0% [136] 214(0.1%) 214(0.1%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------- sig+exp->bigfloat [130] 100.0% [137] 198(0.1%) 198(0.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 -------------------------------------------------------------------------- map [78] 0.8% for-loop [86] 1.2% loop [133] 98.0% [138] 139430(57.9%) 3078(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [146] 75.8% real->bigfloat [147] 17.3% ??? [183] 3.4% -------------------------------------------------------------------------- for-loop [87] 5.0% merge-egraph-nodes! [70] 14.9% for-loop [61] 18.7% apply-match [51] 27.9% loop [133] 33.4% [139] 8260(3.4%) 1850(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [133] 36.1% custom-set-union [148] 33.2% set [150] 12.6% update-en-expr [151] 6.1% -------------------------------------------------------------------------- for-loop [135] 0.9% composed [152] 1.2% loop [133] 1.3% parse-loop12 [128] 1.5% ??? [95] 2.0% simplify-node [96] 2.6% append-map [37] 3.7% approximate9 [81] 5.1% f143 [140] 9.5% hash-ref! [120] 19.7% map [78] 24.2% simplify [124] 28.1% [140] 7548(3.1%) 404(0.2%) f143 .../collects/racket/match/compiler.rkt:499:40 map [78] 61.3% f143 [140] 9.5% taylor-quotient [94] 9.0% append-map [37] 7.5% combine-mterms [8] 4.8% taylor [155] 1.5% composed [152] 1.2% loop [133] 1.2% gather-multiplicative-terms [157] 1.0% compose [159] 0.7% -------------------------------------------------------------------------- loop [133] 100.0% [141] 1824(0.8%) 624(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [153] 54.8% composed [152] 11.0% -------------------------------------------------------------------------- parse-loop12 [128] 24.6% map [78] 26.8% for-loop [135] 48.7% [142] 822(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [154]100.0% -------------------------------------------------------------------------- loop [134] 100.0% [143] 422(0.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [149] 100.0% -------------------------------------------------------------------------- loop [133] 48.1% for-loop [71] 51.9% [144] 416(0.2%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [158] 100.0% -------------------------------------------------------------------------- loop [133] 100.0% [145] 404(0.2%) 202(0.1%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [156] 50.0% -------------------------------------------------------------------------- ??? [138] 100.0% [146] 105688(43.9%) 3392(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [180] 55.9% ...higher-order.rkt:373:33 [160] 13.3% bffma [161] 9.8% bf* [175] 9.7% ...higher-order.rkt:369:33 [162] 3.3% ...ow-val-first.rkt:357:18 [176] 2.4% bf> [163] 1.7% ??? [169] 0.2% -------------------------------------------------------------------------- ??? [138] 100.0% [147] 24108(10.0%) 19814(8.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [186] 17.8% -------------------------------------------------------------------------- adopt-enode! [103] 6.1% loop! [139] 93.9% [148] 3298(1.4%) 1866(0.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [165] 31.2% for-loop [172] 12.2% -------------------------------------------------------------------------- loop [134] 6.9% ??? [143] 13.2% loop [133] 79.9% [149] 3202(1.3%) 230(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [185] 65.8% ??? [167] 19.7% ??? [169] 7.2% -------------------------------------------------------------------------- new-enode [101] 16.2% loop! [139] 83.8% [150] 2484(1.0%) 2484(1.0%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- for-loop [85] 18.1% for-loop [125] 36.7% loop! [139] 45.2% [151] 2232(0.9%) 2032(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 for-loop [173] 9.0% -------------------------------------------------------------------------- for-loop [141] 19.6% loop [33] 21.7% f143 [140] 58.7% [152] 1022(0.4%) 200(0.1%) composed ...ollects/racket/private/list.rkt:321:16 f143 [140] 58.7% errors [74] 21.7% -------------------------------------------------------------------------- for-loop [141] 100.0% [153] 1000(0.4%) 402(0.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [168] 59.8% -------------------------------------------------------------------------- make-multiplication-node [142] 100.0% [154] 822(0.3%) 220(0.1%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [171] 48.9% for-loop [174] 24.3% -------------------------------------------------------------------------- f143 [140] 100.0% [155] 646(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 curried [170] 35.0% debug-print [164] 34.1% debug7 [166] 31.0% -------------------------------------------------------------------------- for-loop [47] 33.2% merge-egraph-nodes! [70] 33.2% set-precompute! [145] 33.6% [156] 602(0.3%) 602(0.3%) make-sequence ...ects/racket/private/for.rkt:508:2 -------------------------------------------------------------------------- gather-multiplicative-terms [157] 26.2% f143 [140] 73.8% [157] 424(0.2%) 424(0.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 gather-multiplicative-terms [157] 26.2% -------------------------------------------------------------------------- foldl [144] 100.0% [158] 416(0.2%) 416(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- taylor-quotient [94] 49.8% f143 [140] 50.2% [159] 402(0.2%) 402(0.2%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- ??? [146] 100.0% [160] 14064(5.8%) 674(0.3%) ...higher-order.rkt:373:33 (unknown source) ??? [181] 80.8% ??? [183] 14.4% -------------------------------------------------------------------------- ??? [146] 100.0% [161] 10360(4.3%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [175] 73.1% ...ow-val-first.rkt:357:18 [176] 26.9% -------------------------------------------------------------------------- ??? [146] 100.0% [162] 3502(1.5%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [183] 53.7% ??? [181] 46.3% -------------------------------------------------------------------------- ??? [146] 100.0% [163] 1846(0.8%) 222(0.1%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [185] 88.0% -------------------------------------------------------------------------- for-loop [36] 15.6% taylor [155] 17.2% simplify [124] 67.2% [164] 1282(0.5%) 200(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [177] 84.4% -------------------------------------------------------------------------- custom-set-union [148] 100.0% [165] 1030(0.4%) 204(0.1%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [178] 80.2% -------------------------------------------------------------------------- taylor [155] 24.8% iterate-egraph!5 [27] 25.1% simplify [124] 50.1% [166] 806(0.3%) 806(0.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 -------------------------------------------------------------------------- ->flonum [149] 100.0% [167] 632(0.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [186] 100.0% -------------------------------------------------------------------------- setfindf [153] 100.0% [168] 598(0.2%) 598(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- ??? [146] 46.5% ->flonum [149] 53.5% [169] 434(0.2%) 434(0.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- loop [133] 46.4% taylor [155] 53.6% [170] 422(0.2%) 422(0.2%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- make-multiplication-subnode [154]100.0% [171] 402(0.2%) 402(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- custom-set-union [148] 100.0% [172] 402(0.2%) 402(0.2%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- update-en-expr [151] 100.0% [173] 200(0.1%) 200(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:213:6 -------------------------------------------------------------------------- make-multiplication-subnode [154]100.0% [174] 200(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [179] 100.0% -------------------------------------------------------------------------- loop [133] 1.2% bffma [161] 42.0% ??? [146] 56.8% [175] 18046(7.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [180] 100.0% -------------------------------------------------------------------------- ??? [146] 47.2% bffma [161] 52.8% [176] 5274(2.2%) 216(0.1%) ...ow-val-first.rkt:357:18 (unknown source) ??? [181] 95.9% -------------------------------------------------------------------------- debug-print [164] 100.0% [177] 1082(0.4%) 1082(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- for-loop [165] 100.0% [178] 826(0.3%) 826(0.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- for-loop [174] 100.0% [179] 200(0.1%) 200(0.1%) partition ...racket/collects/racket/list.rkt:547:0 -------------------------------------------------------------------------- loop [133] 0.3% bf* [175] 23.3% ??? [146] 76.4% [180] 77318(32.1%) 15832(6.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [182] 51.3% ??? [185] 18.1% bfexpm1 [184] 10.1% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [162] 9.0% ...ow-val-first.rkt:357:18 [176] 28.0% ...higher-order.rkt:373:33 [160] 63.0% [181] 18042(7.5%) 1690(0.7%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [183] 90.6% -------------------------------------------------------------------------- ??? [180] 100.0% [182] 39668(16.5%) 27966(11.6%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [186] 29.5% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [162] 7.5% ...higher-order.rkt:373:33 [160] 8.1% ??? [138] 18.8% ??? [181] 65.6% [183] 24942(10.4%) 896(0.4%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [185] 96.4% -------------------------------------------------------------------------- ??? [180] 100.0% [184] 7816(3.2%) 5278(2.2%) bfexpm1 ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [186] 32.5% -------------------------------------------------------------------------- bf> [163] 3.9% ->flonum [149] 5.0% ??? [180] 33.5% ??? [183] 57.6% [185] 41780(17.4%) 22204(9.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [187] 42.8% ??? [188] 4.1% -------------------------------------------------------------------------- sig+exp->bigfloat [130] 2.3% ??? [167] 3.2% bfexpm1 [184] 12.9% real->bigfloat [147] 21.9% bfdiv [182] 59.6% [186] 19622(8.1%) 19622(8.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [185] 100.0% [187] 17870(7.4%) 9290(3.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [189] 48.0% -------------------------------------------------------------------------- ??? [185] 100.0% [188] 1706(0.7%) 1222(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [190] 28.4% -------------------------------------------------------------------------- ??? [187] 100.0% [189] 8580(3.6%) 8580(3.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [188] 100.0% [190] 484(0.2%) 484(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------