Profiling results ----------------- Total cpu time observed: 73344ms (out of 73936ms) Number of samples taken: 332 (once every 221ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 181 hidden) =============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =============================================================================== ??? [58] 100.0% [1] 70734(96.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ------------------------------------------------------------------------------- ??? [58] 100.0% [2] 56514(77.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [16] 57.9% for-loop [19] 39.4% get-final-combination [25] 1.9% loop [67] 0.8% ------------------------------------------------------------------------------- loop [86] 7.5% location-do [74] 92.5% [3] 26940(36.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [17] 93.2% f3 [136] 3.9% taylor-sqrt [29] 1.5% for-loop [31] 0.7% taylor-quotient [27] 0.7% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [4] 23428(31.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [36] 91.2% hash-ref! [127] 8.8% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [5] 22790(31.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [6] 21968(30.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [7] 19550(26.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% ------------------------------------------------------------------------------- loop [110] 5.8% ??? [58] 94.2% [8] 18566(25.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [22] 45.3% iterate-egraph!5 [34] 31.0% for-loop [24] 23.7% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [9] 12286(16.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [23] 100.0% ------------------------------------------------------------------------------- post-process [32] 4.3% loop [110] 95.7% [10] 5192(7.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [22] 100.0% ------------------------------------------------------------------------------- f3 [136] 100.0% [11] 1024(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [38] 80.5% simplify [33] 19.5% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [12] 824(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [26] 100.0% ------------------------------------------------------------------------------- f3 [136] 100.0% [13] 622(0.8%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [28] 100.0% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [14] 602(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [30] 66.8% hash-ref! [127] 33.2% ------------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [15] 70734(96.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [58] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 32708(44.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% ------------------------------------------------------------------------------- approximate9 [3] 100.0% [17] 25096(34.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- ??? [5] 100.0% [18] 22790(31.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [36] 70.5% hash-ref! [127] 27.2% simplify [33] 2.3% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [19] 22258(30.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [35] 100.0% ------------------------------------------------------------------------------- ??? [6] 100.0% [20] 21968(30.0%) 548(0.7%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [127] 97.2% simplify [33] 0.3% ------------------------------------------------------------------------------- ??? [7] 100.0% [21] 19550(26.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [127] 97.9% simplify [33] 2.1% ------------------------------------------------------------------------------- completely-simplify-alt [10] 38.2% simplify [8] 61.8% [22] 13604(18.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [34] 96.9% loop [40] 3.1% ------------------------------------------------------------------------------- ??? [9] 100.0% [23] 12286(16.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [37] 100.0% ------------------------------------------------------------------------------- simplify [8] 100.0% [24] 4394(6.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [34] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [25] 1086(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [39] 100.0% ------------------------------------------------------------------------------- ??? [12] 100.0% [26] 824(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [102] 100.0% ------------------------------------------------------------------------------- approximate9 [3] 31.2% hash-ref! [127] 68.8% [27] 642(0.9%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [38] 65.7% simplify [33] 34.3% ------------------------------------------------------------------------------- combine-mterms [13] 100.0% [28] 622(0.8%) 422(0.6%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [127] 32.2% ------------------------------------------------------------------------------- approximate9 [3] 100.0% [29] 402(0.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [38] 50.2% simplify [33] 49.8% ------------------------------------------------------------------------------- ??? [14] 100.0% [30] 402(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- approximate9 [3] 100.0% [31] 202(0.3%) 0(0.0%) for-loop ...atlock/herbie/src/core/taylor.rkt:18:8 replace-expression [41] 100.0% ------------------------------------------------------------------------------- finalize-table! [16] 100.0% [32] 32708(44.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [42] 76.7% loop [110] 19.3% localize-error [45] 2.0% ??? [55] 1.4% completely-simplify-alt [10] 0.7% ------------------------------------------------------------------------------- for-loop [20] 0.8% loop [110] 0.8% taylor-sqrt [29] 0.8% taylor-invert [11] 0.8% taylor-quotient [27] 0.9% location-do [74] 1.6% for-loop [21] 1.6% for-loop [18] 4.0% hash-ref! [127] 88.8% [33] 25346(34.6%) 202(0.3%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f3 [136] 51.5% parse-loop12 [102] 38.5% debug-print [147] 5.9% debug7 [149] 2.4% make-multiplication-node [105] 0.9% ------------------------------------------------------------------------------- for-loop [24] 18.8% simplify [8] 24.7% simplify-expr [22] 56.5% [34] 23334(31.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [43] 97.0% map-enodes [48] 3.0% ------------------------------------------------------------------------------- for-loop [19] 100.0% [35] 22258(30.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [44] 79.4% gen-series! [46] 10.1% finalize-iter! [47] 5.6% localize-error [45] 4.0% choose-best-alt! [50] 0.9% ------------------------------------------------------------------------------- ??? [4] 26.6% for-loop [18] 73.4% [36] 21982(30.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- for-loop [23] 100.0% [37] 12286(16.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- taylor-sqrt [29] 14.0% taylor-quotient [27] 29.1% taylor-invert [11] 56.9% [38] 1448(2.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- get-final-combination [25] 100.0% [39] 1086(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [110] 100.0% ------------------------------------------------------------------------------- simplify-expr [22] 100.0% [40] 424(0.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [49] 100.0% ------------------------------------------------------------------------------- replace-expression [41] 50.0% for-loop [31] 50.0% [41] 202(0.3%) 202(0.3%) replace-expression ...erbie/src/programs.rkt:119:0 replace-expression [41] 50.0% ------------------------------------------------------------------------------- post-process [32] 100.0% [42] 25100(34.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [51] 100.0% ------------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [43] 22632(30.9%) 644(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [53] 69.1% loop [54] 24.4% apply-match [60] 3.6% ------------------------------------------------------------------------------- run-iter! [35] 100.0% [44] 17678(24.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [52] 100.0% ------------------------------------------------------------------------------- post-process [32] 22.5% run-iter! [35] 31.0% loop [110] 46.4% [45] 2860(3.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- run-iter! [35] 100.0% [46] 2240(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [56] 100.0% ------------------------------------------------------------------------------- run-iter! [35] 100.0% [47] 1252(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [55] 100.0% ------------------------------------------------------------------------------- iterate-egraph!5 [34] 100.0% [48] 702(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [110] 65.5% for-loop [120] 34.5% ------------------------------------------------------------------------------- loop [40] 100.0% [49] 424(0.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [57] 100.0% ------------------------------------------------------------------------------- run-iter! [35] 100.0% [50] 200(0.3%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [55] 100.0% ------------------------------------------------------------------------------- simplify-node [103] 0.1% parse-loop12 [102] 0.2% f3 [136] 5.9% for-loop [42] 93.7% [51] 25100(34.2%) 422(0.6%) append-map ...acket/collects/racket/list.rkt:565:2 loop [110] 72.8% taylor-alt [59] 21.2% f3 [136] 4.2% free-variables [62] 1.0% parse-loop12 [102] 0.5% ------------------------------------------------------------------------------- simplify! [44] 100.0% [52] 17678(24.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [58] 98.9% debug-print [147] 1.1% ------------------------------------------------------------------------------- for-loop [53] 48.0% one-iter [43] 52.0% [53] 15636(21.3%) 4008(5.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [53] 48.0% match-e [68] 36.5% ??? [97] 0.6% ------------------------------------------------------------------------------- one-iter [43] 100.0% [54] 5530(7.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [60] 100.0% ------------------------------------------------------------------------------- choose-best-alt! [50] 8.6% debug7 [149] 18.1% post-process [32] 19.2% finalize-iter! [47] 54.1% [55] 2316(3.2%) 420(0.6%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [61] 73.2% atab-pick-alt8 [65] 8.6% ------------------------------------------------------------------------------- gen-series! [46] 100.0% [56] 2240(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [59] 100.0% ------------------------------------------------------------------------------- pass [49] 100.0% [57] 424(0.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [63] 52.4% for-loop [64] 47.6% ------------------------------------------------------------------------------- for-loop [52] 8.2% run [15] 45.1% [58] 72160(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.1% run-improve58 [2] 35.8% loop [67] 10.8% simplify [8] 8.2% ------------------------------------------------------------------------------- for-loop [56] 8.2% append-map [51] 20.7% loop [110] 71.1% [59] 27340(37.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [66] 100.0% ------------------------------------------------------------------------------- one-iter [43] 12.9% loop [54] 87.1% [60] 6352(8.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [77] 40.8% match-e [68] 20.2% loop! [118] 13.0% for-loop [70] 12.7% substitute-e [79] 10.2% mk-enode! [89] 3.2% ------------------------------------------------------------------------------- ??? [55] 100.0% [61] 1696(2.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [69] 100.0% ------------------------------------------------------------------------------- append-map [51] 100.0% [62] 1042(1.4%) 842(1.1%) free-variables ...ock/herbie/src/programs.rkt:89:0 variable? [72] 19.2% ------------------------------------------------------------------------------- for-loop [57] 100.0% [63] 222(0.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [71] 100.0% ------------------------------------------------------------------------------- for-loop [57] 100.0% [64] 202(0.3%) 202(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------------- ??? [55] 100.0% [65] 200(0.3%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [73] 100.0% ------------------------------------------------------------------------------- taylor-alt [59] 100.0% [66] 27340(37.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [74] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 2.9% ??? [58] 97.1% [67] 16108(22.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [83] 58.7% loop [75] 35.6% loop [84] 4.3% for-loop [80] 1.4% ------------------------------------------------------------------------------- apply-match [60] 6.9% for-loop [85] 11.4% for-loop [53] 81.8% [68] 12712(17.3%) 8536(11.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [76] 22.8% for-loop [85] 10.7% constant? [113] 4.3% list-cartesian-product [88] 1.6% loop [110] 0.8% ------------------------------------------------------------------------------- for-loop [61] 100.0% [69] 1696(2.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [78] 87.9% loop [110] 12.1% ------------------------------------------------------------------------------- apply-match [60] 100.0% [70] 804(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [79] 50.2% loop! [118] 24.9% merge-egraph-nodes! [77] 24.9% ------------------------------------------------------------------------------- argmin [63] 100.0% [71] 222(0.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [81] 100.0% ------------------------------------------------------------------------------- free-variables [62] 100.0% [72] 200(0.3%) 200(0.3%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ------------------------------------------------------------------------------- atab-pick-alt8 [65] 100.0% [73] 200(0.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [82] 100.0% ------------------------------------------------------------------------------- loop [86] 0.7% for-loop [66] 45.4% location-do [74] 53.9% [74] 27340(37.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [74] 53.9% approximate9 [3] 41.3% loop [86] 4.4% simplify [33] 0.5% ------------------------------------------------------------------------------- loop [67] 100.0% [75] 5736(7.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [84] 59.4% make-exacts* [83] 40.6% ------------------------------------------------------------------------------- match-e [68] 100.0% [76] 3514(4.8%) 1044(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [85] 44.0% list-cartesian-product [88] 12.0% loop [110] 8.6% curry* [92] 5.7% ------------------------------------------------------------------------------- for-loop [70] 7.2% merge-egraph-nodes! [77] 11.9% apply-match [60] 80.9% [77] 2790(3.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [87] 53.0% enode-merge! [90] 15.1% loop! [118] 12.9% merge-egraph-nodes! [77] 11.9% for-loop [93] 7.2% ------------------------------------------------------------------------------- atab-add-altn [69] 100.0% [78] 1490(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [148] 100.0% ------------------------------------------------------------------------------- for-loop [70] 25.7% substitute-e [79] 32.1% apply-match [60] 42.3% [79] 1050(1.4%) 808(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [79] 32.1% mk-enode! [89] 23.0% ------------------------------------------------------------------------------- loop [67] 100.0% [80] 222(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [91] 100.0% ------------------------------------------------------------------------------- expression-cost [71] 100.0% [81] 222(0.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- ??? [73] 100.0% [82] 200(0.3%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [94] 100.0% ------------------------------------------------------------------------------- loop [75] 19.7% loop [67] 80.3% [83] 11786(16.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [110] 51.7% map [95] 48.3% ------------------------------------------------------------------------------- loop [67] 16.8% loop [75] 83.2% [84] 4100(5.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [95] 100.0% ------------------------------------------------------------------------------- for-loop [76] 40.9% match-e [68] 59.1% [85] 3536(4.8%) 824(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [68] 76.1% ??? [97] 6.3% ------------------------------------------------------------------------------- loop [86] 27.3% location-do [74] 72.7% [86] 2646(3.6%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [3] 60.9% loop [86] 27.3% location-do [74] 11.8% ------------------------------------------------------------------------------- merge-egraph-nodes! [77] 100.0% [87] 1690(2.3%) 402(0.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [96] 63.1% custom-set-union! [98] 13.1% ------------------------------------------------------------------------------- list-cartesian-product [88] 16.2% match-e [68] 32.4% for-loop [76] 51.4% [88] 624(0.9%) 404(0.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [100] 35.3% list-cartesian-product [88] 16.2% ------------------------------------------------------------------------------- apply-match [60] 45.5% substitute-e [79] 54.5% [89] 444(0.6%) 444(0.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------------- merge-egraph-nodes! [77] 100.0% [90] 420(0.6%) 200(0.3%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [101] 52.4% ------------------------------------------------------------------------------- for-loop [80] 100.0% [91] 222(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [99] 100.0% ------------------------------------------------------------------------------- for-loop [76] 100.0% [92] 200(0.3%) 200(0.3%) curry* ...racket/collects/racket/function.rkt:44:2 ------------------------------------------------------------------------------- merge-egraph-nodes! [77] 100.0% [93] 200(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [138] 100.0% ------------------------------------------------------------------------------- best-alt [82] 100.0% [94] 200(0.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [143] 100.0% ------------------------------------------------------------------------------- gather-multiplicative-terms [145] 0.5% ??? [104] 0.9% parse-loop12 [102] 11.2% loop [84] 16.0% make-exacts* [83] 22.2% f3 [136] 49.2% [95] 25608(34.9%) 202(0.3%) map ...acket/collects/racket/private/map.rkt:21:13 loop [110] 44.4% f3 [136] 24.6% parse-loop12 [102] 22.3% simplify-node [103] 2.4% make-multiplication-node [105] 1.7% ??? [104] 1.6% ->flonum [157] 0.9% gather-multiplicative-terms [145] 0.5% simplify* [109] 0.4% ??? [107] 0.3% ------------------------------------------------------------------------------- update-leader! [87] 100.0% [96] 1066(1.5%) 222(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [106] 79.2% ------------------------------------------------------------------------------- for-loop [53] 47.4% for-loop [85] 52.6% [97] 422(0.6%) 422(0.6%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ------------------------------------------------------------------------------- update-leader! [87] 100.0% [98] 222(0.3%) 222(0.3%) custom-set-union! ...t/private/set-types.rkt:246:0 ------------------------------------------------------------------------------- for-loop [91] 100.0% [99] 222(0.3%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [108] 100.0% ------------------------------------------------------------------------------- list-cartesian-product [88] 100.0% [100] 220(0.3%) 220(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------------- enode-merge! [90] 100.0% [101] 220(0.3%) 220(0.3%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------------------- composed [143] 0.5% append-map [51] 1.5% f3 [136] 2.6% for-loop [26] 4.1% hash-ref! [127] 5.7% loop [110] 8.8% simplify [33] 17.5% parse-loop12 [102] 27.5% map [95] 30.7% [102] 20154(27.5%) 13972(19.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [102] 27.5% loop [110] 15.8% f3 [136] 10.0% map [95] 6.1% for-loop [115] 3.1% parse-app [111] 2.1% append-map [51] 0.5% ------------------------------------------------------------------------------- map [95] 100.0% [103] 1654(2.3%) 202(0.3%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f3 [136] 49.7% combine-aterms [117] 24.7% append-map [51] 13.4% ------------------------------------------------------------------------------- map [95] 38.0% loop [110] 62.0% [104] 1104(1.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [127] 41.8% map [95] 20.1% taylor [144] 19.9% f3 [136] 18.1% ------------------------------------------------------------------------------- simplify [33] 21.1% map [95] 78.9% [105] 1042(1.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [112] 100.0% ------------------------------------------------------------------------------- for-loop [96] 100.0% [106] 844(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [114] 100.0% ------------------------------------------------------------------------------- map [95] 100.0% [107] 440(0.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [116] 100.0% ------------------------------------------------------------------------------- sample-double [99] 100.0% [108] 222(0.3%) 222(0.3%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ------------------------------------------------------------------------------- map [95] 100.0% [109] 200(0.3%) 0(0.0%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 constant? [113] 100.0% ------------------------------------------------------------------------------- make-exacts* [83] 0.1% match-e [68] 0.4% taylor [144] 0.4% atab-add-altn [69] 0.5% for-loop [76] 0.5% map-enodes [48] 0.5% loop! [118] 0.6% extract-alt [39] 1.0% post-process [32] 2.5% map [95] 3.5% parse-loop12 [102] 5.5% append-map [51] 32.1% loop [110] 52.4% [110] 45658(62.3%) 878(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [110] 52.4% taylor-alt [59] 31.9% parse-loop12 [102] 5.2% f3 [136] 2.4% localize-error [45] 1.5% ??? [156] 1.1% simplify [8] 1.0% completely-simplify-alt [10] 1.0% loop! [118] 0.6% ??? [104] 0.5% for-loop [120] 0.5% loop [124] 0.5% simplify [33] 0.4% foldl [125] 0.1% ??? [165] 0.0% ->flonum [157] 0.0% ------------------------------------------------------------------------------- parse-loop12 [102] 100.0% [111] 1042(1.4%) 1042(1.4%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------------- make-multiplication-node [105] 100.0% [112] 1042(1.4%) 220(0.3%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [121] 59.5% for-loop [126] 19.4% ------------------------------------------------------------------------------- simplify* [109] 23.2% match-e [68] 76.8% [113] 862(1.2%) 862(1.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------------- for-loop [106] 100.0% [114] 844(1.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [119] 100.0% ------------------------------------------------------------------------------- parse-loop12 [102] 100.0% [115] 622(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- ??? [107] 100.0% [116] 440(0.6%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [122] 100.0% ------------------------------------------------------------------------------- simplify-node [103] 100.0% [117] 408(0.6%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [123] 100.0% ------------------------------------------------------------------------------- for-loop [70] 6.6% loop [110] 20.1% merge-egraph-nodes! [77] 31.9% apply-match [60] 41.4% [118] 1506(2.1%) 222(0.3%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [128] 51.8% loop [110] 20.1% set [131] 13.4% ------------------------------------------------------------------------------- hash-update! [114] 100.0% [119] 844(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [129] 100.0% ------------------------------------------------------------------------------- map-enodes [48] 34.5% loop [110] 65.5% [120] 702(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [130] 65.8% setfindf [132] 34.2% ------------------------------------------------------------------------------- make-multiplication-subnode [112] 100.0% [121] 620(0.8%) 620(0.8%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------------- for-loop [116] 100.0% [122] 440(0.6%) 200(0.3%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [133] 54.5% ------------------------------------------------------------------------------- combine-aterms [117] 100.0% [123] 408(0.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- loop [110] 1.0% loop [124] 99.0% [124] 206(0.3%) 206(0.3%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [124] 99.0% ------------------------------------------------------------------------------- loop [110] 100.0% [125] 202(0.3%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [134] 100.0% ------------------------------------------------------------------------------- make-multiplication-subnode [112] 100.0% [126] 202(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [135]100.0% ------------------------------------------------------------------------------- ??? [14] 0.1% for-loop [115] 0.1% for-loop [28] 0.2% for-loop [123] 0.2% for-loop [30] 0.3% compile [81] 0.3% ??? [104] 0.7% ??? [4] 1.2% f3 [136] 1.7% first-nonzero-exp [38] 1.7% for-loop [37] 3.3% for-loop [21] 5.8% for-loop [18] 6.8% ??? [137] 7.2% localize-error [45] 7.7% loop [17] 9.5% for-loop [20] 16.4% ??? [36] 36.3% [127] 28580(39.0%) 608(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [5] 37.0% ??? [6] 16.8% simplify [33] 8.4% f3 [136] 8.4% ??? [4] 8.0% ??? [137] 7.2% ??? [7] 6.0% ??? [9] 3.3% parse-loop12 [102] 2.1% taylor-quotient [27] 0.4% taylor [144] 0.3% ??? [14] 0.3% ??? [139] 0.2% ??? [12] 0.2% ------------------------------------------------------------------------------- loop! [118] 100.0% [128] 880(1.2%) 480(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [140] 22.7% for-loop [141] 22.7% ------------------------------------------------------------------------------- ??? [119] 100.0% [129] 844(1.2%) 622(0.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [138] 26.3% ------------------------------------------------------------------------------- for-loop [120] 100.0% [130] 462(0.6%) 220(0.3%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [165] 52.4% ------------------------------------------------------------------------------- loop! [118] 100.0% [131] 404(0.6%) 404(0.6%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------------- for-loop [120] 100.0% [132] 240(0.3%) 240(0.3%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------------- pattern-match [122] 100.0% [133] 240(0.3%) 240(0.3%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 ------------------------------------------------------------------------------- foldl [125] 100.0% [134] 202(0.3%) 202(0.3%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------------- for-loop [126] 100.0% [135] 202(0.3%) 202(0.3%) make-multiplication-subsubsubnode ...uce.rkt:253:0 ------------------------------------------------------------------------------- ??? [104] 0.4% simplify-node [103] 0.8% composed [143] 1.1% approximate9 [3] 3.3% loop [110] 3.4% append-map [51] 4.2% f3 [136] 4.2% parse-loop12 [102] 5.9% hash-ref! [127] 16.4% map [95] 28.1% simplify [33] 31.8% [136] 17976(24.5%) 1962(2.7%) f3 ...et/collects/racket/match/compiler.rkt:499:40 map [95] 61.7% for-loop [142] 9.6% hash-ref! [127] 6.4% append-map [51] 5.7% f3 [136] 4.2% taylor [144] 1.7% composed [143] 1.5% gather-multiplicative-terms [145] 1.2% taylor-invert [11] 0.9% parse-loop12 [102] 0.7% combine-mterms [13] 0.4% ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [137] 11694(15.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [127] 100.0% ------------------------------------------------------------------------------- for-loop [93] 47.4% for-loop [129] 52.6% [138] 422(0.6%) 422(0.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------------- hash-ref! [127] 100.0% [139] 220(0.3%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 repeat [146] 100.0% ------------------------------------------------------------------------------- custom-set-union [128] 100.0% [140] 200(0.3%) 200(0.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 ------------------------------------------------------------------------------- custom-set-union [128] 100.0% [141] 200(0.3%) 200(0.3%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------------- f3 [136] 100.0% [142] 1718(2.3%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [152] 75.4% ??? [156] 24.6% ------------------------------------------------------------------------------- loop [94] 12.0% f3 [136] 88.0% [143] 1664(2.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f3 [136] 76.0% parse-loop12 [102] 12.0% errors [148] 12.0% ------------------------------------------------------------------------------- hash-ref! [127] 16.1% ??? [104] 17.7% f3 [136] 66.2% [144] 1242(1.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [147] 50.1% debug7 [149] 33.8% loop [110] 16.1% ------------------------------------------------------------------------------- gather-multiplicative-terms [145] 9.9% map [95] 19.5% f3 [136] 70.6% [145] 1024(1.4%) 1024(1.4%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [95] 19.5% gather-multiplicative-terms [145] 9.9% ------------------------------------------------------------------------------- ??? [139] 100.0% [146] 220(0.3%) 0(0.0%) repeat ...atlock/herbie/src/core/localize.rkt:13:0 for-loop [150] 100.0% ------------------------------------------------------------------------------- for-loop [52] 8.5% taylor [144] 26.8% simplify [33] 64.7% [147] 2322(3.2%) 202(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [151] 91.3% ------------------------------------------------------------------------------- composed [143] 11.8% best-and-tied-at-points [78] 88.2% [148] 1690(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [153] 74.9% eval-prog [152] 25.1% ------------------------------------------------------------------------------- taylor [144] 40.4% simplify [33] 59.6% [149] 1040(1.4%) 220(0.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [55] 40.4% ??? [155] 19.2% return/no-unsupplied [154] 19.2% ------------------------------------------------------------------------------- repeat [146] 100.0% [150] 220(0.3%) 220(0.3%) for-loop ...lock/herbie/src/core/localize.rkt:14:2 ------------------------------------------------------------------------------- debug-print [147] 100.0% [151] 2120(2.9%) 2120(2.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------------- errors [148] 24.7% for-loop [142] 75.3% [152] 1720(2.3%) 1286(1.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [158] 25.2% ------------------------------------------------------------------------------- errors [148] 100.0% [153] 1266(1.7%) 624(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [156] 33.2% ->flonum [157] 17.5% ------------------------------------------------------------------------------- debug7 [149] 100.0% [154] 200(0.3%) 200(0.3%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------------- debug7 [149] 100.0% [155] 200(0.3%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [159] 100.0% ------------------------------------------------------------------------------- for-loop [153] 2.5% for-loop [142] 2.6% loop [110] 94.9% [156] 16502(22.5%) 712(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [160] 80.6% real->bigfloat [161] 15.1% ------------------------------------------------------------------------------- map [95] 33.1% for-loop [153] 33.1% loop [110] 33.7% [157] 670(0.9%) 222(0.3%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [170] 66.9% ------------------------------------------------------------------------------- eval-prog [152] 100.0% [158] 434(0.6%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [162] 100.0% ------------------------------------------------------------------------------- ??? [155] 100.0% [159] 200(0.3%) 200(0.3%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------------- ??? [156] 100.0% [160] 13306(18.1%) 440(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [165] 56.2% ...higher-order.rkt:373:33 [163] 21.2% bf* [164] 17.8% ------------------------------------------------------------------------------- ??? [156] 100.0% [161] 2484(3.4%) 2262(3.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [171] 8.9% ------------------------------------------------------------------------------- ??? [158] 100.0% [162] 434(0.6%) 434(0.6%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------- ??? [160] 100.0% [163] 2824(3.9%) 474(0.6%) ...higher-order.rkt:373:33 (unknown source) ??? [166] 46.5% ??? [168] 36.7% ------------------------------------------------------------------------------- ??? [160] 100.0% [164] 2366(3.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [165] 100.0% ------------------------------------------------------------------------------- loop [110] 2.1% eval-const-expr [130] 2.3% bf* [164] 23.0% ??? [160] 72.6% [165] 10304(14.0%) 738(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [167] 57.8% ??? [170] 20.9% bfsqrt [169] 14.1% ------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [163] 100.0% [166] 1314(1.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [168] 100.0% ------------------------------------------------------------------------------- ??? [165] 100.0% [167] 5958(8.1%) 3558(4.9%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [171] 40.3% ------------------------------------------------------------------------------- ...higher-order.rkt:373:33 [163] 44.1% ??? [166] 55.9% [168] 2350(3.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [170] 100.0% ------------------------------------------------------------------------------- ??? [165] 100.0% [169] 1456(2.0%) 676(0.9%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [171] 53.6% ------------------------------------------------------------------------------- ->flonum [157] 9.1% ??? [165] 43.5% ??? [168] 47.5% [170] 4950(6.7%) 2538(3.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [172] 38.8% ??? [173] 9.9% ------------------------------------------------------------------------------- real->bigfloat [161] 6.5% bfsqrt [169] 22.9% bfsub [167] 70.5% [171] 3402(4.6%) 3402(4.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------- ??? [170] 100.0% [172] 1920(2.6%) 1248(1.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [174] 35.0% ------------------------------------------------------------------------------- ??? [170] 100.0% [173] 492(0.7%) 492(0.7%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------------- ??? [172] 100.0% [174] 672(0.9%) 672(0.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------------