Profiling results ----------------- Total cpu time observed: 150814ms (out of 152164ms) Number of samples taken: 650 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 8 of 207 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [56] 100.0% [1] 144502(95.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------------------- ??? [56] 100.0% [2] 99898(66.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [16] 58.6% finalize-table! [18] 36.8% get-final-combination [24] 2.6% loop [64] 1.7% setup-prog [30] 0.2% -------------------------------------------------------------------------------- simplify-alt [37] 0.4% loop [141] 4.3% ??? [56] 95.3% [3] 56622(37.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 61.9% for-loop [21] 27.2% iterate-egraph!5 [31] 10.6% loop [35] 0.4% -------------------------------------------------------------------------------- location-do [172] 100.0% [4] 29366(19.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [19] 89.8% f143 [134] 9.5% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [5] 18958(12.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [6] 9184(6.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% -------------------------------------------------------------------------------- post-process [33] 2.6% loop [141] 97.4% [7] 8122(5.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [17] 100.0% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [8] 6828(4.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [23] 100.0% -------------------------------------------------------------------------------- f143 [134] 100.0% [9] 2682(1.8%) 932(0.6%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [25] 65.2% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [10] 1816(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [125] 53.2% for-loop [28] 46.8% -------------------------------------------------------------------------------- map [90] 43.0% f143 [134] 57.0% [11] 1540(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [128] 55.8% first-nonzero-exp [26] 44.2% -------------------------------------------------------------------------------- map [90] 48.4% f143 [134] 51.6% [12] 1288(0.9%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [26] 67.1% simplify [128] 32.9% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [13] 1162(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [27] 100.0% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [14] 678(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [29] 100.0% -------------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [15] 144502(95.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [56] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 58508(38.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [32] 100.0% -------------------------------------------------------------------------------- completely-simplify-alt [7] 18.8% simplify [3] 81.2% [17] 43170(28.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [31] 89.8% loop [35] 10.2% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 36808(24.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [33] 100.0% -------------------------------------------------------------------------------- approximate9 [4] 100.0% [19] 26356(17.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [125] 100.0% -------------------------------------------------------------------------------- ??? [5] 100.0% [20] 18958(12.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [125] 98.7% simplify [128] 1.3% -------------------------------------------------------------------------------- simplify [3] 100.0% [21] 15400(10.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [31] 91.6% loop [35] 8.4% -------------------------------------------------------------------------------- ??? [6] 100.0% [22] 9184(6.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [34] 100.0% -------------------------------------------------------------------------------- ??? [8] 100.0% [23] 6828(4.5%) 202(0.1%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [125] 82.9% ??? [137] 7.9% simplify [128] 6.2% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 2614(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [36] 100.0% -------------------------------------------------------------------------------- combine-mterms [9] 100.0% [25] 1750(1.2%) 466(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [125] 73.4% -------------------------------------------------------------------------------- taylor-invert [11] 44.0% taylor-quotient [12] 56.0% [26] 1544(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [125] 100.0% -------------------------------------------------------------------------------- ??? [13] 100.0% [27] 1162(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [125] 58.5% simplify [128] 41.5% -------------------------------------------------------------------------------- ??? [10] 100.0% [28] 850(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [125] 100.0% -------------------------------------------------------------------------------- ??? [14] 100.0% [29] 678(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [115] 100.0% -------------------------------------------------------------------------------- run-improve58 [2] 100.0% [30] 240(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [37] 100.0% -------------------------------------------------------------------------------- simplify [3] 10.2% for-loop [21] 24.0% simplify-expr [17] 65.9% [31] 58840(39.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [38] 93.6% map-enodes [42] 5.7% *simplify-rules* [46] 0.3% debug7 [139] 0.3% -------------------------------------------------------------------------------- for-loop [16] 100.0% [32] 58508(38.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [39] 91.9% gen-series! [43] 4.6% finalize-iter! [44] 2.7% choose-best-alt! [45] 0.4% -------------------------------------------------------------------------------- finalize-table! [18] 100.0% [33] 36808(24.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [40] 72.5% loop [141] 24.2% ??? [52] 2.2% completely-simplify-alt [7] 0.6% -------------------------------------------------------------------------------- for-loop [22] 100.0% [34] 9184(6.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [125] 100.0% -------------------------------------------------------------------------------- simplify [3] 3.4% for-loop [21] 21.8% simplify-expr [17] 74.8% [35] 5904(3.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [41] 100.0% -------------------------------------------------------------------------------- get-final-combination [24] 100.0% [36] 2614(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [141] 92.3% argmins [47] 7.7% -------------------------------------------------------------------------------- setup-prog [30] 100.0% [37] 240(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [38] 55088(36.5%) 1386(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [49] 54.0% loop [50] 41.2% apply-match [57] 2.3% -------------------------------------------------------------------------------- run-iter! [32] 100.0% [39] 53770(35.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [48] 100.0% -------------------------------------------------------------------------------- post-process [33] 100.0% [40] 26678(17.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [109] 100.0% -------------------------------------------------------------------------------- loop [35] 100.0% [41] 5904(3.9%) 400(0.3%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [51] 86.4% for-loop [54] 6.8% -------------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [42] 3348(2.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [141] 94.0% for-loop [151] 6.0% -------------------------------------------------------------------------------- run-iter! [32] 100.0% [43] 2688(1.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [53] 100.0% -------------------------------------------------------------------------------- run-iter! [32] 100.0% [44] 1604(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [52] 100.0% -------------------------------------------------------------------------------- run-iter! [32] 100.0% [45] 222(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [52] 100.0% -------------------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [46] 202(0.1%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [55] 100.0% -------------------------------------------------------------------------------- extract-alt [36] 100.0% [47] 202(0.1%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [143] 100.0% -------------------------------------------------------------------------------- simplify! [39] 100.0% [48] 53770(35.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [56] 100.0% -------------------------------------------------------------------------------- for-loop [49] 48.9% one-iter [38] 51.1% [49] 29738(19.7%) 5946(3.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [49] 48.9% match-e [65] 40.0% -------------------------------------------------------------------------------- one-iter [38] 100.0% [50] 22718(15.1%) 240(0.2%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [57] 98.9% -------------------------------------------------------------------------------- pass [41] 100.0% [51] 5100(3.4%) 200(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [58] 53.6% for-loop [60] 30.3% loop [61] 7.8% make-sequence [165] 4.4% -------------------------------------------------------------------------------- choose-best-alt! [45] 7.3% debug7 [139] 13.3% post-process [33] 26.5% finalize-iter! [44] 52.8% [52] 3036(2.0%) 202(0.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [59] 79.4% atab-pick-alt8 [62] 7.3% assoc-has-key? [63] 6.7% -------------------------------------------------------------------------------- gen-series! [43] 100.0% [53] 2688(1.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [149] 100.0% -------------------------------------------------------------------------------- pass [41] 100.0% [54] 404(0.3%) 404(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:176:2 -------------------------------------------------------------------------------- *simplify-rules* [46] 100.0% [55] 202(0.1%) 202(0.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 -------------------------------------------------------------------------------- for-loop [48] 12.3% run [15] 42.5% [56] 150158(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.5% run-improve58 [2] 28.1% loop [64] 16.9% simplify [3] 12.4% -------------------------------------------------------------------------------- one-iter [38] 5.3% loop [50] 94.7% [57] 23724(15.7%) 402(0.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [73] 34.6% match-e [65] 22.0% for-loop [66] 14.6% substitute-e [75] 9.9% mk-enode! [83] 7.2% loop! [150] 6.5% reduce-to-single! [69] 3.5% -------------------------------------------------------------------------------- for-loop [51] 100.0% [58] 2732(1.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [67] 100.0% -------------------------------------------------------------------------------- ??? [52] 100.0% [59] 2410(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [68] 100.0% -------------------------------------------------------------------------------- for-loop [51] 100.0% [60] 1546(1.0%) 1546(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------------- for-loop [51] 100.0% [61] 400(0.3%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [67] 100.0% -------------------------------------------------------------------------------- ??? [52] 100.0% [62] 222(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [70] 100.0% -------------------------------------------------------------------------------- ??? [52] 100.0% [63] 202(0.1%) 202(0.1%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 -------------------------------------------------------------------------------- run-improve58 [2] 3.3% ??? [56] 96.7% [64] 51788(34.3%) 230(0.2%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [71] 52.8% make-exacts* [79] 33.3% loop [80] 13.5% -------------------------------------------------------------------------------- apply-match [57] 12.0% for-loop [81] 13.5% for-loop [49] 74.4% [65] 29012(19.2%) 15660(10.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [72] 36.8% for-loop [81] 8.3% list-cartesian-product [84] 3.4% custom-in-set [182] 0.8% constant? [166] 0.7% filter [86] 0.3% loop [141] 0.3% -------------------------------------------------------------------------------- apply-match [57] 100.0% [66] 3460(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [150] 38.3% merge-egraph-nodes! [73] 30.2% mk-enode! [83] 18.2% substitute-e [75] 13.4% -------------------------------------------------------------------------------- loop [61] 12.8% argmin [58] 87.2% [67] 3132(2.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [74] 100.0% -------------------------------------------------------------------------------- for-loop [59] 100.0% [68] 2410(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [76] 100.0% -------------------------------------------------------------------------------- apply-match [57] 100.0% [69] 834(0.6%) 402(0.3%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [77] 51.8% -------------------------------------------------------------------------------- atab-pick-alt8 [62] 100.0% [70] 222(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [78] 100.0% -------------------------------------------------------------------------------- loop [64] 100.0% [71] 27330(18.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [80] 43.7% make-exacts* [79] 41.9% eval-prog [91] 14.4% -------------------------------------------------------------------------------- match-e [65] 100.0% [72] 12696(8.4%) 5464(3.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [81] 39.8% list-cartesian-product [84] 15.9% loop [141] 5.6% filter [86] 1.7% -------------------------------------------------------------------------------- for-loop [87] 2.3% merge-egraph-nodes! [73] 3.6% for-loop [66] 11.3% apply-match [57] 82.8% [73] 9252(6.1%) 662(0.4%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [82] 67.0% for-loop [85] 9.5% loop! [150] 8.3% merge-egraph-nodes! [73] 3.6% for-loop [87] 2.3% enode-merge! [89] 2.2% -------------------------------------------------------------------------------- expression-cost [67] 100.0% [74] 3132(2.1%) 276(0.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [125] 91.2% -------------------------------------------------------------------------------- for-loop [66] 16.5% apply-match [57] 83.5% [75] 2808(1.9%) 200(0.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [83] 92.9% -------------------------------------------------------------------------------- atab-add-altn [68] 100.0% [76] 2410(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [153] 91.7% filter [86] 8.3% -------------------------------------------------------------------------------- reduce-to-single! [69] 100.0% [77] 432(0.3%) 432(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------------- ??? [70] 100.0% [78] 222(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [88] 100.0% -------------------------------------------------------------------------------- loop [71] 39.9% loop [64] 60.1% [79] 28694(19.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [141] 59.5% map [90] 36.6% eval-prog [91] 3.9% -------------------------------------------------------------------------------- loop [64] 36.9% loop [71] 63.1% [80] 18942(12.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [90] 100.0% -------------------------------------------------------------------------------- match-e [65] 36.4% for-loop [72] 63.6% [81] 9458(6.3%) 1284(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [65] 79.3% ??? [93] 9.4% -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [82] 6640(4.4%) 818(0.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [92] 72.3% custom-set-union! [97] 6.0% update-en-expr [163] 3.3% hash-ref! [125] 3.0% make-sequence [165] 3.0% -------------------------------------------------------------------------------- for-loop [66] 12.7% apply-match [57] 34.5% substitute-e [75] 52.8% [83] 4940(3.3%) 3498(2.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [94] 17.0% hash-has-key? [96] 12.2% -------------------------------------------------------------------------------- list-cartesian-product [84] 21.4% match-e [65] 26.1% for-loop [72] 52.5% [84] 3440(2.3%) 2794(1.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [84] 21.4% for-loop [95] 15.5% -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [85] 882(0.6%) 642(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [163] 27.2% -------------------------------------------------------------------------------- best-and-tied-at-points [76] 32.2% match-e [65] 32.2% for-loop [72] 35.7% [86] 622(0.4%) 622(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [87] 422(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [73] 100.0% -------------------------------------------------------------------------------- best-alt [78] 100.0% [88] 222(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [143] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 100.0% [89] 202(0.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [98] 100.0% -------------------------------------------------------------------------------- ??? [101] 0.6% gather-multiplicative-terms [144] 0.8% make-exacts* [79] 18.6% loop [80] 33.6% f143 [134] 46.3% [90] 56384(37.4%) 442(0.3%) map ...acket/collects/racket/private/map.rkt:21:13 loop [141] 51.9% f143 [134] 35.9% simplify-node [99] 4.2% parse-loop12 [115] 2.2% ??? [101] 1.9% ??? [171] 0.7% ->flonum [181] 0.6% gather-multiplicative-terms [144] 0.6% taylor-invert [11] 0.5% make-addition-node [121] 0.4% loop [106] 0.4% taylor-quotient [12] 0.2% taylor [133] 0.1% ??? [104] 0.0% make-multiplication-node [135] 0.0% -------------------------------------------------------------------------------- errors [153] 7.4% make-exacts* [79] 20.6% loop [71] 72.0% [91] 5448(3.6%) 202(0.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [125] 88.4% inductor [103] 7.9% -------------------------------------------------------------------------------- update-leader! [82] 100.0% [92] 4800(3.2%) 242(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [100] 95.0% -------------------------------------------------------------------------------- for-loop [81] 100.0% [93] 886(0.6%) 220(0.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [102] 75.2% -------------------------------------------------------------------------------- mk-enode! [83] 100.0% [94] 840(0.6%) 422(0.3%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [105] 26.0% check-valid-enode5 [107] 23.8% -------------------------------------------------------------------------------- list-cartesian-product [84] 100.0% [95] 646(0.4%) 646(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------------- mk-enode! [83] 100.0% [96] 602(0.4%) 602(0.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------------- update-leader! [82] 100.0% [97] 400(0.3%) 200(0.1%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [108] 50.0% -------------------------------------------------------------------------------- enode-merge! [89] 100.0% [98] 202(0.1%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [162] 100.0% -------------------------------------------------------------------------------- simplify [128] 4.4% map [90] 95.6% [99] 14654(9.7%) 220(0.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [109] 86.0% combine-aterms [111] 10.9% f143 [134] 1.7% -------------------------------------------------------------------------------- for-loop [92] 100.0% [100] 4558(3.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [110] 100.0% -------------------------------------------------------------------------------- loop [141] 44.6% map [90] 55.4% [101] 2786(1.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f143 [134] 48.8% hash-ref! [125] 46.3% map [90] 4.9% -------------------------------------------------------------------------------- ??? [93] 100.0% [102] 666(0.4%) 424(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [166] 36.3% -------------------------------------------------------------------------------- eval-prog [91] 16.5% inductor [103] 83.5% [103] 428(0.3%) 200(0.1%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [103] 83.5% integer->bigfloat [112] 10.7% -------------------------------------------------------------------------------- map [90] 100.0% [104] 222(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [113] 100.0% -------------------------------------------------------------------------------- new-enode [94] 100.0% [105] 218(0.1%) 218(0.1%) mutable-set ...racket/private/set-types.rkt:1000:0 -------------------------------------------------------------------------------- map [90] 2.1% loop [106] 97.9% [106] 202(0.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [106] 97.9% ??? 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[125] 7.1% simplify [128] 7.9% map [90] 22.0% parse-loop12 [115] 23.4% append-map [109] 35.2% [115] 20170(13.4%) 4522(3.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f143 [134] 23.9% parse-loop12 [115] 23.4% for-loop [120] 10.1% make-multiplication-node [135] 9.8% loop [141] 8.1% for-loop [122] 4.3% gather-additive-terms6 [123] 2.4% make-addition-node [121] 0.7% foldr [124] 0.3% append-map [109] 0.3% -------------------------------------------------------------------------------- hash-update! [110] 100.0% [116] 4558(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [119] 95.6% make-sequence [165] 4.4% -------------------------------------------------------------------------------- combine-aterms [111] 100.0% [117] 1394(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! 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[82] 0.6% for-loop [25] 0.6% ??? [10] 0.6% ??? [137] 0.6% for-loop [117] 0.6% first-nonzero-exp [26] 0.8% ??? [101] 3.2% compile [74] 3.5% for-loop [34] 3.8% ??? [131] 4.4% for-loop [23] 4.5% eval-prog [91] 5.2% loop [141] 8.1% for-loop [20] 10.0% ??? [130] 12.2% loop [19] 14.5% ??? [129] 24.2% [125] 36116(23.9%) 5544(3.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [129] 24.2% ??? [131] 13.0% simplify [128] 12.9% ??? [130] 12.4% ??? [5] 10.7% ??? [8] 5.4% bigfloat-hash [132] 4.6% ??? [6] 3.8% parse-loop12 [115] 3.0% f143 [134] 3.0% ??? [10] 1.0% ??? [13] 0.4% ??? [14] 0.2% taylor [133] 0.1% -------------------------------------------------------------------------------- make-addition-node [121] 100.0% [126] 1338(0.9%) 1338(0.9%) loop ...hare/racket/collects/racket/list.rkt:551:2 -------------------------------------------------------------------------------- foldr [124] 100.0% [127] 200(0.1%) 200(0.1%) cp-2 ...hare/racket/collects/racket/list.rkt:804:2 -------------------------------------------------------------------------------- for-loop [20] 0.9% for-loop [23] 1.5% taylor-quotient [12] 1.5% for-loop [27] 1.7% taylor-invert [11] 3.1% loop [141] 3.8% hash-ref! [125] 86.1% [128] 28156(18.7%) 202(0.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [134] 84.4% parse-loop12 [115] 6.4% debug7 [139] 3.1% debug-print [140] 2.4% simplify-node [99] 2.3% make-multiplication-node [135] 0.7% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [129] 24104(16.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [125] 100.0% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [130] 23584(15.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [125] 96.9% ??? [137] 3.1% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [131] 6834(4.5%) 402(0.3%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [141] 61.2% hash-ref! [125] 36.4% -------------------------------------------------------------------------------- hash-ref! [125] 100.0% [132] 4606(3.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [136] 69.9% sig+exp->bigfloat [138] 30.1% -------------------------------------------------------------------------------- hash-ref! [125] 14.8% map [90] 21.7% f143 [134] 63.4% [133] 1012(0.7%) 150(0.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [141] 43.7% debug7 [139] 21.7% debug-print [140] 19.8% -------------------------------------------------------------------------------- loop [141] 0.4% simplify-node [99] 0.4% composed [143] 0.9% for-loop [120] 1.0% ??? [101] 1.1% for-loop [122] 1.5% parse-loop12 [115] 1.8% approximate9 [4] 2.7% f143 [134] 4.3% append-map [109] 5.8% hash-ref! [125] 5.8% simplify [128] 15.4% map [90] 59.0% [134] 28228(18.7%) 1772(1.2%) f143 .../collects/racket/match/compiler.rkt:499:40 map [90] 77.3% append-map [109] 6.5% f143 [134] 4.3% gather-multiplicative-terms [144] 1.9% combine-mterms [9] 1.1% composed [143] 1.1% taylor [133] 1.0% compose [156] 1.0% taylor-invert [11] 0.9% loop [141] 0.6% taylor-quotient [12] 0.6% parse-loop12 [115] 0.6% -------------------------------------------------------------------------------- simplify [128] 4.2% map [90] 5.1% for-loop [122] 9.2% for-loop [120] 23.5% parse-loop12 [115] 58.0% [135] 4772(3.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [142] 100.0% -------------------------------------------------------------------------------- bigfloat-hash [132] 100.0% [136] 3220(2.1%) 2994(2.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [148] 7.0% -------------------------------------------------------------------------------- ??? 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[52] 31.5% return/no-unsupplied [147] 18.7% -------------------------------------------------------------------------------- taylor [133] 22.7% simplify [128] 77.3% [140] 882(0.6%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [145] 100.0% -------------------------------------------------------------------------------- match-e [65] 0.3% map-enodes [42] 0.5% taylor [133] 0.6% for-loop [72] 0.7% f143 [134] 0.7% make-exacts* [79] 0.9% post-process [33] 1.1% map [90] 1.2% append-map [109] 1.4% loop! [150] 1.6% parse-loop12 [115] 1.7% extract-alt [36] 1.7% ??? [131] 5.9% loop [141] 81.8% [141] 70228(46.6%) 858(0.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [141] 81.8% hash-ref! [125] 5.9% ??? [171] 1.8% simplify [3] 1.7% loop! [150] 1.6% simplify [128] 1.4% taylor-alt [149] 1.4% completely-simplify-alt [7] 1.0% parse-loop12 [115] 0.7% ??? [101] 0.7% for-loop [151] 0.4% f143 [134] 0.3% curried [167] 0.3% ->flonum [181] 0.2% set-precompute! [157] 0.0% ??? [190] 0.0% ...higher-order.rkt:373:33 [184] 0.0% -------------------------------------------------------------------------------- make-multiplication-node [135] 100.0% [142] 4772(3.2%) 694(0.5%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [152] 56.0% for-loop [155] 24.4% compose [156] 5.1% -------------------------------------------------------------------------------- argmins [47] 4.5% loop [88] 4.9% f143 [134] 90.6% [143] 4528(3.0%) 130(0.1%) composed ...ollects/racket/private/list.rkt:321:16 f143 [134] 82.9% errors [153] 9.4% free-variables [154] 4.9% -------------------------------------------------------------------------------- map [90] 33.4% f143 [134] 66.6% [144] 3102(2.1%) 2210(1.5%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [90] 42.4% compose [156] 7.3% -------------------------------------------------------------------------------- debug-print [140] 100.0% [145] 882(0.6%) 882(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------------- debug7 [139] 100.0% [146] 420(0.3%) 202(0.1%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [158] 51.9% -------------------------------------------------------------------------------- debug7 [139] 100.0% [147] 240(0.2%) 240(0.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------------- bfcanonicalize [136] 100.0% [148] 226(0.1%) 226(0.1%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 -------------------------------------------------------------------------------- loop [141] 3.6% for-loop [53] 9.2% append-map [109] 87.3% [149] 29366(19.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [159] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [73] 12.6% for-loop [66] 22.0% apply-match [57] 28.9% loop [141] 36.6% [150] 3742(2.5%) 682(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [141] 36.6% custom-set-union [162] 34.8% set [164] 15.3% update-en-expr [163] 5.2% -------------------------------------------------------------------------------- map-enodes [42] 6.8% loop [141] 93.2% [151] 2928(1.9%) 624(0.4%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [161] 65.0% eval-const-expr [170] 6.9% curried [167] 6.8% -------------------------------------------------------------------------------- make-multiplication-subnode [142] 100.0% [152] 2670(1.8%) 2198(1.5%) group-by68 ...acket/collects/racket/list.rkt:749:0 for-loop [168] 9.1% hash-update [174] 8.6% -------------------------------------------------------------------------------- composed [143] 16.1% best-and-tied-at-points [76] 83.9% [153] 2634(1.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [160] 84.7% eval-prog [91] 15.3% -------------------------------------------------------------------------------- composed [143] 12.2% append-map [109] 87.8% [154] 1800(1.2%) 1558(1.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 constant? [166] 13.4% -------------------------------------------------------------------------------- make-multiplication-subnode [142] 100.0% [155] 1166(0.8%) 944(0.6%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [169] 19.0% -------------------------------------------------------------------------------- make-multiplication-subnode [142] 21.1% gather-multiplicative-terms [144] 39.3% f143 [134] 39.6% [156] 1146(0.8%) 1146(0.8%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- loop [141] 100.0% [157] 420(0.3%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [165] 100.0% -------------------------------------------------------------------------------- ??? [146] 100.0% [158] 218(0.1%) 218(0.1%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 -------------------------------------------------------------------------------- taylor-alt [149] 100.0% [159] 29366(19.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [172] 100.0% -------------------------------------------------------------------------------- errors [153] 100.0% [160] 2232(1.5%) 602(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [171] 36.1% ->flonum [181] 18.0% ??? [177] 9.9% ulp-difference [178] 9.0% -------------------------------------------------------------------------------- for-loop [151] 100.0% [161] 1902(1.3%) 1222(0.8%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [175] 24.2% custom-in-set [182] 11.6% -------------------------------------------------------------------------------- adopt-enode! [98] 13.4% loop! [150] 86.6% [162] 1506(1.0%) 662(0.4%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [173] 56.0% -------------------------------------------------------------------------------- update-leader! [82] 16.5% for-loop [85] 17.8% for-loop [119] 31.2% loop! [150] 34.6% [163] 1348(0.9%) 1348(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------------- loop! [150] 100.0% [164] 1290(0.9%) 1290(0.9%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------------- update-leader! [82] 19.2% ??? [116] 19.3% for-loop [51] 21.3% set-precompute! [157] 40.2% [165] 1044(0.7%) 602(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [176] 42.3% -------------------------------------------------------------------------------- for-loop [102] 27.3% free-variables [154] 27.3% match-e [65] 45.5% [166] 888(0.6%) 888(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------------- loop [141] 50.0% for-loop [151] 50.0% [167] 400(0.3%) 400(0.3%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------------- group-by68 [152] 100.0% [168] 242(0.2%) 0(0.0%) for-loop .../racket/collects/racket/list.rkt:783:4 hash-update [174] 100.0% -------------------------------------------------------------------------------- for-loop [155] 100.0% [169] 222(0.1%) 222(0.1%) make-multiplication-subsubsubnode ...uce.rkt:253:0 -------------------------------------------------------------------------------- for-loop [151] 100.0% [170] 202(0.1%) 202(0.1%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 -------------------------------------------------------------------------------- map [90] 0.9% for-loop [160] 1.7% loop [141] 97.4% [171] 46552(30.9%) 2410(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [179] 71.1% real->bigfloat [180] 19.7% ??? [193] 3.2% ->flonum [181] 0.9% -------------------------------------------------------------------------------- for-loop [159] 35.1% location-do [172] 64.9% [172] 29366(19.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [172] 64.9% approximate9 [4] 35.1% -------------------------------------------------------------------------------- custom-set-union [162] 100.0% [173] 844(0.6%) 422(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [183] 50.0% -------------------------------------------------------------------------------- group-by68 [152] 48.7% for-loop [168] 51.3% [174] 472(0.3%) 472(0.3%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------------- setfindf [161] 100.0% [175] 460(0.3%) 460(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------------- make-sequence [165] 100.0% [176] 442(0.3%) 220(0.1%) ??? ...acket/collects/racket/private/for.rkt:428:7 custom-in-set [182] 50.2% -------------------------------------------------------------------------------- for-loop [160] 100.0% [177] 222(0.1%) 222(0.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------------- for-loop [160] 100.0% [178] 200(0.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [187] 100.0% -------------------------------------------------------------------------------- ??? [171] 100.0% [179] 33094(21.9%) 242(0.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [190] 53.9% ...higher-order.rkt:373:33 [184] 18.3% bf* [185] 14.9% ...higher-order.rkt:369:33 [186] 9.1% bf> [188] 2.5% ??? [187] 0.6% -------------------------------------------------------------------------------- ??? [171] 100.0% [180] 9170(6.1%) 7432(4.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [195] 19.0% -------------------------------------------------------------------------------- ??? [114] 8.6% ??? [171] 17.2% for-loop [160] 17.2% map [90] 26.7% loop [141] 30.3% [181] 2338(1.6%) 246(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [187] 54.1% ??? [194] 26.8% ??? [189] 8.6% -------------------------------------------------------------------------------- setfindf [161] 32.2% ??? [176] 32.5% match-e [65] 35.4% [182] 684(0.5%) 684(0.5%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------------- for-loop [173] 100.0% [183] 422(0.3%) 422(0.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- loop [141] 3.2% ??? [179] 96.8% [184] 6244(4.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [191] 65.2% ??? [193] 34.8% -------------------------------------------------------------------------------- ??? [179] 100.0% [185] 4936(3.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [190] 100.0% -------------------------------------------------------------------------------- ??? [179] 100.0% [186] 3008(2.0%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [193] 63.2% ??? [191] 36.8% -------------------------------------------------------------------------------- ulp-difference [178] 12.0% ??? [179] 12.1% ->flonum [181] 75.9% [187] 1668(1.1%) 1668(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------------- ??? [179] 100.0% [188] 820(0.5%) 0(0.0%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [194] 100.0% -------------------------------------------------------------------------------- ->flonum [181] 100.0% [189] 200(0.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [195] 100.0% -------------------------------------------------------------------------------- loop [141] 0.9% bf* [185] 21.5% ??? [179] 77.6% [190] 22978(15.2%) 2360(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [192] 72.9% ??? [194] 16.8% -------------------------------------------------------------------------------- ...higher-order.rkt:369:33 [186] 21.4% ...higher-order.rkt:373:33 [184] 78.6% [191] 5182(3.4%) 292(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [193] 94.4% -------------------------------------------------------------------------------- ??? [190] 100.0% [192] 16748(11.1%) 12496(8.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [195] 25.4% -------------------------------------------------------------------------------- ??? [171] 14.1% ...higher-order.rkt:369:33 [186] 18.2% ...higher-order.rkt:373:33 [184] 20.8% ??? [191] 46.9% [193] 10436(6.9%) 200(0.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [194] 98.1% -------------------------------------------------------------------------------- ->flonum [181] 4.0% bf> [188] 5.3% ??? [190] 24.9% ??? [193] 65.8% [194] 15552(10.3%) 7416(4.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [196] 48.5% ??? [197] 3.8% -------------------------------------------------------------------------------- ??? [189] 3.1% sig+exp->bigfloat [138] 3.7% real->bigfloat [180] 27.0% bfmul [192] 66.1% [195] 6430(4.3%) 6430(4.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------------- ??? [194] 100.0% [196] 7548(5.0%) 3812(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [198] 49.5% -------------------------------------------------------------------------------- ??? [194] 100.0% [197] 588(0.4%) 448(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [199] 23.8% -------------------------------------------------------------------------------- ??? [196] 100.0% [198] 3736(2.5%) 3736(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------- ??? [197] 100.0% [199] 140(0.1%) 140(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 --------------------------------------------------------------------------------