Profiling results ----------------- Total cpu time observed: 619106ms (out of 630660ms) Number of samples taken: 2448 (once every 253ms) (Hiding functions with self<1.0% and local<2.0%: 12 of 218 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [51] 100.0% [1] 580830(93.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------------- ??? [51] 100.0% [2] 134898(21.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [15] 51.1% for-loop [17] 20.2% get-final-combination [18] 20.0% loop [60] 8.4% setup-prog [24] 0.3% -------------------------------------------------------------------------------- hash-ref! [163] 100.0% [3] 27712(4.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% -------------------------------------------------------------------------------- hash-ref! [163] 100.0% [4] 23064(3.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% -------------------------------------------------------------------------------- simplify-alt [32] 2.0% loop [106] 12.7% ??? [51] 85.3% [5] 22154(3.6%) 368(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [29] 46.2% iterate-egraph!5 [34] 26.6% for-loop [20] 25.5% -------------------------------------------------------------------------------- loop [106] 100.0% [6] 8600(1.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [29] 100.0% -------------------------------------------------------------------------------- copying-mergesort [143] 100.0% [7] 6158(1.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [152] 96.7% ??? [156] 3.3% -------------------------------------------------------------------------------- hash-ref! [163] 100.0% [8] 5346(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% -------------------------------------------------------------------------------- loop [9] 22.1% location-do [69] 77.9% [9] 4214(0.7%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [81] 71.6% loop [9] 22.1% simplify [125] 6.3% -------------------------------------------------------------------------------- f37 [174] 100.0% [10] 3048(0.5%) 606(0.1%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [22] 80.1% -------------------------------------------------------------------------------- map [94] 7.9% f37 [174] 92.1% [11] 2608(0.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [117] 53.9% simplify [125] 46.1% -------------------------------------------------------------------------------- approximate9 [81] 31.5% f37 [174] 68.5% [12] 642(0.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [117] 100.0% -------------------------------------------------------------------------------- hash-ref! [163] 100.0% [13] 614(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [23] 100.0% -------------------------------------------------------------------------------- profile-thunk14 [1] 99.3% [14] 584734(94.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [51] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 68898(11.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [25] 100.0% -------------------------------------------------------------------------------- ??? [3] 100.0% [16] 27712(4.5%) 200(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [28] 65.3% hash-ref! [163] 24.0% simplify [125] 10.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 27196(4.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 27034(4.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [27] 88.1% extract-alt [30] 11.9% -------------------------------------------------------------------------------- ??? [4] 100.0% [19] 23064(3.7%) 420(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [163] 98.8% -------------------------------------------------------------------------------- simplify [5] 100.0% [20] 5652(0.9%) 200(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [34] 85.8% loop [39] 7.1% simplify-expr [29] 3.6% -------------------------------------------------------------------------------- ??? [8] 100.0% [21] 5346(0.9%) 200(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [163] 85.0% simplify [125] 7.5% ??? [107] 3.7% -------------------------------------------------------------------------------- combine-mterms [10] 100.0% [22] 2442(0.4%) 1004(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [163] 58.9% -------------------------------------------------------------------------------- ??? [13] 100.0% [23] 614(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [31] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 442(0.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [32] 100.0% -------------------------------------------------------------------------------- finalize-table! [15] 100.0% [25] 68898(11.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [33] 84.7% loop [106] 13.4% ??? [45] 1.6% localize-error [64] 0.3% -------------------------------------------------------------------------------- for-loop [17] 100.0% [26] 27196(4.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [36] 69.5% gen-series! [37] 15.8% finalize-iter! [38] 9.3% localize-error [64] 3.1% choose-best-alt! [40] 1.5% gen-rewrites! [41] 0.7% -------------------------------------------------------------------------------- get-final-combination [18] 100.0% [27] 23830(3.8%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [35] 100.0% -------------------------------------------------------------------------------- ??? [175] 8.5% for-loop [16] 91.5% [28] 22064(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [163] 100.0% -------------------------------------------------------------------------------- for-loop [20] 1.1% completely-simplify-alt [6] 45.2% simplify [5] 53.8% [29] 19042(3.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [34] 97.9% loop [39] 2.1% -------------------------------------------------------------------------------- get-final-combination [18] 100.0% [30] 3204(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [106] 87.5% loop [87] 12.5% -------------------------------------------------------------------------------- for-loop [23] 100.0% [31] 614(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [163] 100.0% -------------------------------------------------------------------------------- setup-prog [24] 100.0% [32] 442(0.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [5] 100.0% -------------------------------------------------------------------------------- post-process [25] 100.0% [33] 58356(9.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [42] 100.0% -------------------------------------------------------------------------------- for-loop [20] 16.5% simplify [5] 20.1% simplify-expr [29] 63.4% [34] 29388(4.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [43] 97.3% map-enodes [47] 2.7% -------------------------------------------------------------------------------- split-table [27] 100.0% [35] 23830(3.8%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 loop [106] 67.9% option-on-expr [116] 31.2% exprs-to-branch-on [49] 0.8% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [36] 18908(3.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [44] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [37] 4292(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [46] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [38] 2538(0.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [45] 100.0% -------------------------------------------------------------------------------- simplify-expr [29] 49.9% for-loop [20] 50.1% [39] 798(0.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [48] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [40] 402(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [45] 100.0% -------------------------------------------------------------------------------- run-iter! [26] 100.0% [41] 200(0.0%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [50] 100.0% -------------------------------------------------------------------------------- simplify-node [144] 1.8% f37 [174] 23.1% for-loop [33] 75.1% [42] 59592(9.6%) 4528(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [52] 68.4% f37 [174] 17.6% loop [106] 6.7% parse-loop12 [136] 2.3% loop [190] 1.3% free-variables [188] 1.2% -------------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [43] 28590(4.6%) 642(0.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [53] 74.7% loop [54] 19.6% apply-match [62] 1.4% -------------------------------------------------------------------------------- simplify! [36] 100.0% [44] 18908(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [51] 100.0% -------------------------------------------------------------------------------- debug7 [191] 9.0% choose-best-alt! [40] 9.0% post-process [25] 24.8% finalize-iter! [38] 57.1% [45] 4442(0.7%) 400(0.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [55] 72.9% atab-pick-alt8 [57] 9.0% atab-add-altns [58] 9.0% -------------------------------------------------------------------------------- gen-series! [37] 100.0% [46] 4292(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [52] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [47] 798(0.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [106] 74.9% for-loop [120] 25.1% -------------------------------------------------------------------------------- loop [39] 100.0% [48] 798(0.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [56] 100.0% -------------------------------------------------------------------------------- infer-splitpoints4 [35] 100.0% [49] 200(0.0%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:41:0 critical-subexpression [59] 100.0% -------------------------------------------------------------------------------- gen-rewrites! [41] 100.0% [50] 200(0.0%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 debug7 [191] 100.0% -------------------------------------------------------------------------------- for-loop [44] 1.1% run [14] 49.2% [51] 591632(95.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.6% loop [60] 39.3% run-improve58 [2] 11.1% simplify [5] 1.1% -------------------------------------------------------------------------------- loop [106] 6.8% for-loop [46] 6.9% append-map [42] 86.3% [52] 62648(10.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [61] 100.0% -------------------------------------------------------------------------------- for-loop [53] 48.6% one-iter [43] 51.4% [53] 21352(3.4%) 5056(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [53] 48.6% match-e [70] 37.7% ??? [112] 0.5% -------------------------------------------------------------------------------- one-iter [43] 100.0% [54] 5594(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [62] 100.0% -------------------------------------------------------------------------------- ??? [45] 100.0% [55] 3240(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [63] 100.0% -------------------------------------------------------------------------------- pass [48] 100.0% [56] 798(0.1%) 198(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [66] 50.1% argmin [67] 25.1% -------------------------------------------------------------------------------- ??? [45] 100.0% [57] 402(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [65] 100.0% -------------------------------------------------------------------------------- ??? [45] 100.0% [58] 400(0.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [63] 100.0% -------------------------------------------------------------------------------- exprs-to-branch-on [49] 100.0% [59] 200(0.0%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:49:0 localize-error [64] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 2.4% ??? [51] 97.6% [60] 468062(75.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [68] 48.7% make-exacts* [79] 34.4% loop [80] 15.8% for-loop [71] 1.1% -------------------------------------------------------------------------------- taylor-alt [52] 100.0% [61] 62648(10.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [69] 100.0% -------------------------------------------------------------------------------- one-iter [43] 6.7% loop [54] 93.3% [62] 5996(1.0%) 200(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [73] 46.7% mk-enode! [86] 16.2% match-e [70] 13.3% for-loop [75] 10.3% loop! [118] 6.7% substitute-e [78] 3.4% -------------------------------------------------------------------------------- atab-add-altns [58] 11.0% for-loop [55] 89.0% [63] 3640(0.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [72] 82.4% override-at-pnts [74] 17.6% -------------------------------------------------------------------------------- post-process [25] 10.5% critical-subexpression [59] 10.5% loop [106] 33.8% run-iter! [26] 45.1% [64] 1896(0.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [163] 88.4% sort [137] 11.6% -------------------------------------------------------------------------------- atab-pick-alt8 [57] 100.0% [65] 402(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [77] 100.0% -------------------------------------------------------------------------------- for-loop [56] 100.0% [66] 400(0.1%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [76] 100.0% -------------------------------------------------------------------------------- for-loop [56] 100.0% [67] 200(0.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [76] 100.0% -------------------------------------------------------------------------------- loop [60] 100.0% [68] 228034(36.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [80] 54.7% make-exacts* [79] 45.1% loop [89] 0.1% eval-prog [157] 0.1% -------------------------------------------------------------------------------- location-do [69] 43.1% for-loop [61] 56.9% [69] 62648(10.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [81] 55.0% location-do [69] 43.1% loop [9] 1.7% simplify [125] 0.2% -------------------------------------------------------------------------------- apply-match [62] 3.6% for-loop [98] 8.9% for-loop [53] 87.6% [70] 16896(2.7%) 10252(1.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [82] 32.7% for-loop [98] 4.1% list-cartesian-product [100] 3.1% loop [106] 1.8% curry* [132] 1.2% -------------------------------------------------------------------------------- loop [60] 100.0% [71] 5152(0.8%) 1274(0.2%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [84] 75.3% -------------------------------------------------------------------------------- atab-add-altn [63] 100.0% [72] 2998(0.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [83] 92.7% for-loop [90] 7.3% -------------------------------------------------------------------------------- for-loop [93] 3.5% merge-egraph-nodes! [73] 3.6% apply-match [62] 92.9% [73] 2802(0.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [85] 64.3% loop! [118] 14.3% enode-merge! [92] 7.1% for-loop [91] 7.1% merge-egraph-nodes! [73] 3.6% for-loop [93] 3.5% -------------------------------------------------------------------------------- atab-add-altn [63] 100.0% [74] 642(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [83] 100.0% -------------------------------------------------------------------------------- apply-match [62] 100.0% [75] 620(0.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [118] 100.0% -------------------------------------------------------------------------------- argmin [67] 33.3% loop [66] 66.7% [76] 600(0.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [88] 100.0% -------------------------------------------------------------------------------- ??? [65] 100.0% [77] 402(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [87] 100.0% -------------------------------------------------------------------------------- apply-match [62] 100.0% [78] 202(0.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [86] 100.0% -------------------------------------------------------------------------------- loop [68] 39.0% loop [60] 61.0% [79] 263624(42.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [94] 51.7% loop [106] 47.8% eval-prog [157] 0.4% -------------------------------------------------------------------------------- loop [60] 37.2% loop [68] 62.8% [80] 198828(32.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [94] 100.0% -------------------------------------------------------------------------------- loop [9] 6.1% location-do [69] 93.9% [81] 62032(10.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [95] 89.3% for-loop [97] 6.5% f37 [174] 2.9% taylor-sqrt [111] 0.6% debug-print [189] 0.3% taylor-quotient [12] 0.3% -------------------------------------------------------------------------------- match-e [70] 100.0% [82] 6424(1.0%) 3218(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [98] 40.5% loop [101] 6.3% loop [106] 3.1% foldl [121] 3.1% list-cartesian-product [100] 3.1% -------------------------------------------------------------------------------- option-on-expr [116] 3.3% override-at-pnts [74] 10.5% composed [182] 13.1% loop [106] 27.9% best-and-tied-at-points [72] 45.3% [83] 6134(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [96] 72.4% eval-prog [157] 27.6% -------------------------------------------------------------------------------- for-loop [71] 100.0% [84] 3878(0.6%) 2432(0.4%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [109] 31.9% sample [102] 5.4% -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [85] 2000(0.3%) 400(0.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [99] 70.0% update-en-expr [105] 10.0% -------------------------------------------------------------------------------- substitute-e [78] 17.2% apply-match [62] 82.8% [86] 1172(0.2%) 970(0.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [103] 17.2% -------------------------------------------------------------------------------- extract-alt [30] 49.9% best-alt [77] 50.1% [87] 802(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [182] 100.0% -------------------------------------------------------------------------------- expression-cost [76] 100.0% [88] 600(0.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [163] 100.0% -------------------------------------------------------------------------------- loop [68] 0.8% loop [89] 99.2% [89] 254(0.0%) 254(0.0%) loop /home/ztatlock/herbie/src/points.rkt:72:2 loop [89] 99.2% -------------------------------------------------------------------------------- best-and-tied-at-points [72] 100.0% [90] 220(0.0%) 220(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [91] 200(0.0%) 200(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [92] 200(0.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [104] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [93] 198(0.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [73] 100.0% -------------------------------------------------------------------------------- loop [106] 0.1% gather-multiplicative-terms [185] 0.1% parse-loop12 [136] 0.1% ??? [107] 0.1% f37 [174] 9.9% make-exacts* [79] 36.5% loop [80] 53.1% [94] 374140(60.4%) 1202(0.2%) map ...acket/collects/racket/private/map.rkt:21:13 loop [106] 88.1% f37 [174] 7.1% ??? [156] 1.5% parse-loop12 [136] 1.0% simplify-node [144] 0.9% ??? [107] 0.7% make-multiplication-node [149] 0.3% ->flonum [164] 0.1% gather-multiplicative-terms [185] 0.1% taylor [184] 0.0% taylor-invert [11] 0.0% ??? [115] 0.0% -------------------------------------------------------------------------------- approximate9 [81] 100.0% [95] 55406(8.9%) 7840(1.3%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [163] 78.6% loop [108] 6.9% -------------------------------------------------------------------------------- errors [83] 100.0% [96] 4444(0.7%) 642(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [156] 81.1% ulp-difference [114] 4.5% -------------------------------------------------------------------------------- approximate9 [81] 100.0% [97] 4022(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f37 [174] 85.2% taylor-sqrt [111] 9.8% taylor [184] 5.0% -------------------------------------------------------------------------------- match-e [70] 25.0% for-loop [82] 75.0% [98] 4004(0.6%) 600(0.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [70] 75.0% ??? [112] 10.0% -------------------------------------------------------------------------------- update-leader! [85] 100.0% [99] 1400(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [110] 100.0% -------------------------------------------------------------------------------- for-loop [82] 24.3% list-cartesian-product [100] 25.7% match-e [70] 50.0% [100] 822(0.1%) 600(0.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [100] 25.7% for-loop [113] 13.5% -------------------------------------------------------------------------------- for-loop [82] 100.0% [101] 402(0.1%) 402(0.1%) loop ...e/racket/collects/racket/function.rkt:53:6 -------------------------------------------------------------------------------- for-loop [84] 100.0% [102] 208(0.0%) 0(0.0%) sample /home/ztatlock/herbie/src/points.rkt:68:0 sample-default [109] 100.0% -------------------------------------------------------------------------------- mk-enode! [86] 100.0% [103] 202(0.0%) 202(0.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------------- enode-merge! [92] 100.0% [104] 200(0.0%) 200(0.0%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------------- update-leader! [85] 100.0% [105] 200(0.0%) 200(0.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- for-loop [82] 0.0% map-enodes [47] 0.0% match-e [70] 0.0% loop! [118] 0.1% option-on-expr [116] 0.1% parse-loop12 [136] 0.2% extract-alt [30] 0.2% taylor [184] 0.2% post-process [25] 0.2% make-exacts* [79] 0.7% append-map [42] 0.8% f37 [174] 0.8% ??? [156] 0.9% map [94] 2.3% infer-splitpoints4 [35] 2.5% loop [106] 90.9% [106] 500210(80.8%) 26878(4.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [106] 90.9% ??? 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[163] 5.3% -------------------------------------------------------------------------------- sample [102] 14.4% for-loop [84] 85.6% [109] 1446(0.2%) 208(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [177] 85.6% -------------------------------------------------------------------------------- for-loop [99] 100.0% [110] 1400(0.2%) 202(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [119] 85.6% -------------------------------------------------------------------------------- for-loop [97] 28.4% approximate9 [81] 28.7% hash-ref! [163] 43.0% [111] 1396(0.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [117] 57.4% simplify [125] 28.4% hash-ref! [163] 14.2% -------------------------------------------------------------------------------- for-loop [53] 33.3% for-loop [98] 66.7% [112] 600(0.1%) 400(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [123] 33.3% -------------------------------------------------------------------------------- list-cartesian-product [100] 100.0% [113] 222(0.0%) 222(0.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------------- for-loop [96] 100.0% [114] 200(0.0%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? 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[73] 28.2% for-loop [75] 29.5% [118] 1424(0.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [129] 64.9% loop [106] 28.1% set [134] 7.0% -------------------------------------------------------------------------------- for-loop [110] 100.0% [119] 1198(0.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [128] 100.0% -------------------------------------------------------------------------------- map-enodes [47] 25.1% loop [106] 74.9% [120] 798(0.1%) 198(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [131] 50.1% curry* [132] 25.1% -------------------------------------------------------------------------------- for-loop [82] 49.8% loop [106] 50.2% [121] 402(0.1%) 200(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [133] 50.2% -------------------------------------------------------------------------------- ??? 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[118] 100.0% [129] 1024(0.2%) 200(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [140] 80.5% -------------------------------------------------------------------------------- option-on-expr [116] 100.0% [130] 622(0.1%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [141] 100.0% -------------------------------------------------------------------------------- for-loop [120] 100.0% [131] 400(0.1%) 400(0.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 -------------------------------------------------------------------------------- match-e [70] 49.7% for-loop [120] 50.3% [132] 398(0.1%) 200(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [142] 49.7% -------------------------------------------------------------------------------- foldl [121] 100.0% [133] 202(0.0%) 202(0.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------------- loop! 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[163] 8.4% f37 [174] 9.1% parse-loop12 [136] 14.1% append-map [42] 15.4% simplify [125] 15.5% map [94] 36.3% [136] 19958(3.2%) 4318(0.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f37 [174] 35.8% parse-loop12 [136] 14.1% for-loop [145] 11.1% loop [106] 10.7% simplify-node [144] 4.1% make-multiplication-node [149] 3.7% map [94] 0.8% make-multiplication-subsubsubnode [170] 0.2% -------------------------------------------------------------------------------- group-by68 [159] 1.0% localize-error [64] 1.1% sort-context-on-expr [126] 97.9% [137] 19770(3.2%) 200(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [143] 69.9% loop [148] 29.1% -------------------------------------------------------------------------------- pick-errors [127] 100.0% [138] 1302(0.2%) 206(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [157] 84.2% -------------------------------------------------------------------------------- ??? 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[152] 98.4% errors-score [155] 1.6% -------------------------------------------------------------------------------- simplify [125] 3.2% parse-loop12 [136] 16.1% for-loop [145] 23.8% map [94] 56.9% [149] 6226(1.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [153] 100.0% -------------------------------------------------------------------------------- simplify-node [144] 100.0% [150] 1456(0.2%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [154] 100.0% -------------------------------------------------------------------------------- for-loop [146] 100.0% [151] 622(0.1%) 622(0.1%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 -------------------------------------------------------------------------------- jloop [7] 31.1% loop [148] 68.9% [152] 19144(3.1%) 870(0.1%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [157] 93.2% ??? [156] 2.2% -------------------------------------------------------------------------------- make-multiplication-node [149] 100.0% [153] 6226(1.0%) 200(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [158] 53.1% group-by68 [159] 40.5% compose [192] 3.2% -------------------------------------------------------------------------------- combine-aterms [150] 100.0% [154] 1456(0.2%) 436(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [163] 70.1% -------------------------------------------------------------------------------- loop [148] 100.0% [155] 220(0.0%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [160] 100.0% -------------------------------------------------------------------------------- jloop [7] 0.0% ??? [152] 0.1% for-loop [96] 0.8% map [94] 1.2% loop [106] 97.9% [156] 461106(74.5%) 7034(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [161] 66.7% loop [106] 25.3% real->bigfloat [162] 5.1% ??? 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[161] 99.3% [176] 29690(4.8%) 224(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [181] 71.2% ...ow-val-first.rkt:357:18 [183] 28.1% -------------------------------------------------------------------------------- ulp-difference [114] 4.4% ??? [161] 4.7% sample-default [109] 27.5% ->flonum [164] 63.4% [177] 4500(0.7%) 4500(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- go [165] 40.0% loop [178] 60.0% [178] 1274(0.2%) 1274(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [178] 60.0% -------------------------------------------------------------------------------- ??? [166] 100.0% [179] 874(0.1%) 874(0.1%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------------- ->flonum [164] 100.0% [180] 322(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? 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[163] 50.0% [184] 4044(0.7%) 612(0.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [189] 35.4% loop [106] 29.7% debug7 [191] 19.8% -------------------------------------------------------------------------------- map [94] 30.2% f37 [174] 69.8% [185] 2680(0.4%) 2042(0.3%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [94] 32.7% compose [192] 16.4% -------------------------------------------------------------------------------- loop [106] 0.2% ??? [161] 37.3% bf* [181] 62.5% [186] 212902(34.4%) 17332(2.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [193] 66.0% ??? [200] 21.8% bfneg [195] 4.0% -------------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [183] 18.0% ...higher-order.rkt:373:33 [172] 82.0% [187] 69194(11.2%) 3602(0.6%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [194] 94.8% -------------------------------------------------------------------------------- composed [182] 21.2% append-map [42] 78.8% [188] 3892(0.6%) 3892(0.6%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------------------- approximate9 [81] 5.8% taylor [184] 41.3% simplify [125] 52.8% [189] 3460(0.6%) 1030(0.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [196] 70.2% -------------------------------------------------------------------------------- composed [182] 2.9% append-map [42] 45.7% loop [190] 51.4% [190] 3438(0.6%) 3438(0.6%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [190] 51.4% -------------------------------------------------------------------------------- for-loop [50] 7.7% taylor [184] 30.8% simplify [125] 61.5% [191] 2600(0.4%) 1602(0.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [45] 15.4% ??? [198] 7.7% return/no-unsupplied [197] 7.7% assoc-ref [199] 7.6% -------------------------------------------------------------------------------- for-loop [158] 23.8% make-multiplication-subnode [153] 23.8% gather-multiplicative-terms [185] 52.4% [192] 840(0.1%) 840(0.1%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- ??? [186] 100.0% [193] 140618(22.7%) 96770(15.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [201] 31.2% -------------------------------------------------------------------------------- ??? [156] 4.4% ...higher-order.rkt:373:33 [172] 9.4% loop [106] 23.1% ??? [187] 63.1% [194] 103928(16.8%) 2024(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [200] 98.1% -------------------------------------------------------------------------------- ??? [186] 100.0% [195] 8578(1.4%) 4240(0.7%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [201] 50.6% -------------------------------------------------------------------------------- debug-print [189] 100.0% [196] 2430(0.4%) 2430(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- debug7 [191] 100.0% [197] 200(0.0%) 200(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------------- debug7 [191] 100.0% [198] 200(0.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [202] 100.0% -------------------------------------------------------------------------------- debug7 [191] 100.0% [199] 198(0.0%) 198(0.0%) assoc-ref ...collects/racket/private/dict.rkt:56:0 -------------------------------------------------------------------------------- ->flonum [164] 1.2% ??? [186] 30.9% ??? [194] 67.9% [200] 150096(24.2%) 63568(10.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [203] 54.4% ??? [204] 3.2% -------------------------------------------------------------------------------- ??? [180] 0.4% bfneg [195] 5.6% real->bigfloat [162] 37.3% bfsub [193] 56.7% [201] 77366(12.5%) 77366(12.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- ??? [198] 100.0% [202] 200(0.0%) 200(0.0%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------------- ??? [200] 100.0% [203] 81724(13.2%) 46808(7.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [205] 42.7% -------------------------------------------------------------------------------- ??? [200] 100.0% [204] 4804(0.8%) 3382(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [206] 29.6% -------------------------------------------------------------------------------- ??? [203] 100.0% [205] 34916(5.6%) 34916(5.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------- ??? [204] 100.0% [206] 1422(0.2%) 1422(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------------