Profiling results ----------------- Total cpu time observed: 126856ms (out of 128124ms) Number of samples taken: 534 (once every 238ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 174 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [51] 100.0% [1] 119724(94.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [2] 29868(23.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [13] 46.8% finalize-table! [14] 30.1% for-loop [15] 19.3% loop [63] 3.8% -------------------------------------------------------------------------- post-process [24] 5.8% loop [109] 94.2% [3] 3860(3.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [16] 100.0% -------------------------------------------------------------------------- copying-mergesort [78] 100.0% [4] 3062(2.4%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [102] 93.4% ??? [121] 6.6% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [5] 2468(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [17] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [6] 2048(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [7] 1262(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [122] 66.6% for-loop [20] 33.4% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [8] 602(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [9] 402(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:408:23 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [10] 202(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [22] 100.0% -------------------------------------------------------------------------- f6 [143] 100.0% [11] 200(0.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [27] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.3% [12] 120562(95.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [51] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 13992(11.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [23] 89.4% extract-alt [28] 10.6% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 8976(7.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [24] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 5768(4.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [26] 100.0% -------------------------------------------------------------------------- simplify [116] 22.8% completely-simplify-alt [3] 77.2% [16] 4998(3.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [25] 95.6% loop [32] 4.4% -------------------------------------------------------------------------- ??? [5] 100.0% [17] 2468(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [122] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [18] 2048(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [122] 59.5% ??? [29] 30.9% simplify [27] 9.7% -------------------------------------------------------------------------- ??? [8] 100.0% [19] 602(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [30] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [20] 422(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [122] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [21] 402(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:411:30 for-loop [31] 100.0% -------------------------------------------------------------------------- ??? [10] 100.0% [22] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [132] 100.0% -------------------------------------------------------------------------- get-final-combination [13] 100.0% [23] 12514(9.9%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [33] 92.7% ??? [46] 7.3% -------------------------------------------------------------------------- finalize-table! [14] 100.0% [24] 8976(7.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [109] 45.0% for-loop [35] 43.3% ??? [46] 6.9% completely-simplify-alt [3] 2.5% localize-error [67] 2.3% -------------------------------------------------------------------------- for-loop [125] 5.3% simplify [116] 40.0% simplify-expr [16] 54.7% [25] 8732(6.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [34] 97.5% *simplify-rules* [40] 2.5% -------------------------------------------------------------------------- for-loop [15] 100.0% [26] 5768(4.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [36] 66.5% gen-series! [37] 11.1% finalize-iter! [38] 10.7% localize-error [67] 7.8% choose-best-alt! [39] 3.8% -------------------------------------------------------------------------- for-loop [18] 5.4% taylor-sqrt [11] 5.4% loop [109] 5.5% hash-ref! [122] 83.7% [27] 3686(2.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [143] 60.9% parse-loop12 [132] 28.3% debug-print [159] 10.9% -------------------------------------------------------------------------- get-final-combination [13] 100.0% [28] 1478(1.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [109] 85.0% loop [97] 15.0% -------------------------------------------------------------------------- for-loop [18] 100.0% [29] 1044(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [122] 100.0% -------------------------------------------------------------------------- for-loop [19] 100.0% [30] 602(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [122] 100.0% -------------------------------------------------------------------------- for-loop [21] 100.0% [31] 402(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:414:42 hash-ref! [122] 100.0% -------------------------------------------------------------------------- simplify-expr [16] 100.0% [32] 220(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [41] 100.0% -------------------------------------------------------------------------- split-table [23] 100.0% [33] 11606(9.1%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [42] 81.9% loop [109] 16.3% exprs-to-branch-on [49] 1.9% -------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [34] 8512(6.7%) 634(0.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [43] 72.7% loop [47] 14.9% apply-match [54] 5.0% -------------------------------------------------------------------------- post-process [24] 100.0% [35] 3888(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [44] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [36] 3836(3.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [45] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [37] 640(0.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [48] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [38] 618(0.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [46] 100.0% -------------------------------------------------------------------------- run-iter! [26] 100.0% [39] 222(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [46] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [40] 220(0.2%) 220(0.2%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 -------------------------------------------------------------------------- loop [32] 100.0% [41] 220(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [50] 100.0% -------------------------------------------------------------------------- loop [109] 16.6% infer-splitpoints4 [33] 83.4% [42] 11386(9.0%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [52] 85.0% err-lsts->split-indices [56] 9.0% pick-errors [58] 4.0% errors [110] 1.9% -------------------------------------------------------------------------- for-loop [43] 50.0% one-iter [34] 50.0% [43] 6188(4.9%) 1256(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [43] 50.0% match-e [65] 39.9% -------------------------------------------------------------------------- simplify-node [111] 2.6% f6 [143] 3.9% for-loop [35] 93.5% [44] 3888(3.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [53] 83.3% loop [109] 10.2% f6 [143] 3.9% parse-loop12 [132] 2.6% -------------------------------------------------------------------------- simplify! [36] 100.0% [45] 3836(3.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [51] 100.0% -------------------------------------------------------------------------- choose-best-alt! [39] 9.4% finalize-iter! [38] 26.1% post-process [24] 26.2% split-table [23] 38.3% [46] 2368(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [55] 43.8% split-atab [57] 38.3% atab-pick-alt8 [59] 9.4% atab-add-altns [62] 8.5% -------------------------------------------------------------------------- one-iter [34] 100.0% [47] 1268(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% -------------------------------------------------------------------------- gen-series! [37] 100.0% [48] 640(0.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [53] 100.0% -------------------------------------------------------------------------- infer-splitpoints4 [33] 100.0% [49] 220(0.2%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:41:0 critical-subexpression [60] 100.0% -------------------------------------------------------------------------- pass [41] 100.0% [50] 220(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [61] 100.0% -------------------------------------------------------------------------- for-loop [45] 1.1% run [12] 49.4% [51] 121662(95.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.7% loop [63] 38.2% run-improve58 [2] 12.1% simplify [116] 1.1% -------------------------------------------------------------------------- option-on-expr [42] 100.0% [52] 9682(7.6%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [64] 100.0% -------------------------------------------------------------------------- loop [109] 8.8% for-loop [48] 14.1% append-map [44] 77.1% [53] 4528(3.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [66] 100.0% -------------------------------------------------------------------------- one-iter [34] 25.0% loop [47] 75.0% [54] 1690(1.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [71] 38.2% match-e [65] 23.9% mk-enode! [74] 13.0% loop! [119] 13.0% for-loop [76] 11.8% -------------------------------------------------------------------------- ??? [46] 100.0% [55] 1036(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [68] 100.0% -------------------------------------------------------------------------- option-on-expr [42] 100.0% [56] 1026(0.8%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [69] 100.0% -------------------------------------------------------------------------- ??? [46] 100.0% [57] 908(0.7%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [70] 100.0% -------------------------------------------------------------------------- option-on-expr [42] 100.0% [58] 456(0.4%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [72] 100.0% -------------------------------------------------------------------------- ??? [46] 100.0% [59] 222(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [73] 100.0% -------------------------------------------------------------------------- exprs-to-branch-on [49] 100.0% [60] 220(0.2%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:49:0 localize-error [67] 100.0% -------------------------------------------------------------------------- for-loop [50] 100.0% [61] 220(0.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [75] 100.0% -------------------------------------------------------------------------- ??? [46] 100.0% [62] 202(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [68] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 1.2% ??? [51] 98.8% [63] 92926(73.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [77] 48.2% make-exacts* [90] 35.2% loop [91] 16.6% -------------------------------------------------------------------------- sort-context-on-expr [52] 100.0% [64] 9682(7.6%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [78] 79.2% loop [92] 20.8% -------------------------------------------------------------------------- apply-match [54] 5.7% for-loop [94] 5.9% for-loop [43] 88.5% [65] 5336(4.2%) 2586(2.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [80] 39.8% for-loop [94] 4.2% list-cartesian-product [98] 3.8% curry* [89] 3.7% -------------------------------------------------------------------------- taylor-alt [53] 100.0% [66] 4528(3.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [79] 100.0% -------------------------------------------------------------------------- post-process [24] 16.1% critical-subexpression [60] 17.2% loop [109] 31.4% run-iter! [26] 35.3% [67] 1280(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [122] 100.0% -------------------------------------------------------------------------- atab-add-altns [62] 16.3% for-loop [55] 83.7% [68] 1238(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [82] 65.9% override-at-pnts [85] 34.1% -------------------------------------------------------------------------- err-lsts->split-indices [56] 100.0% [69] 1026(0.8%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [81] 100.0% -------------------------------------------------------------------------- split-atab [57] 100.0% [70] 908(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [83] 75.8% for-loop [87] 24.2% -------------------------------------------------------------------------- merge-egraph-nodes! [71] 15.6% apply-match [54] 84.4% [71] 646(0.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [84] 68.7% merge-egraph-nodes! [71] 15.6% loop! [119] 15.6% -------------------------------------------------------------------------- pick-errors [58] 100.0% [72] 456(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [115] 100.0% -------------------------------------------------------------------------- atab-pick-alt8 [59] 100.0% [73] 222(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [86] 100.0% -------------------------------------------------------------------------- apply-match [54] 100.0% [74] 220(0.2%) 220(0.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 -------------------------------------------------------------------------- argmin [61] 100.0% [75] 220(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [88] 100.0% -------------------------------------------------------------------------- apply-match [54] 100.0% [76] 200(0.2%) 200(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 -------------------------------------------------------------------------- loop [63] 100.0% [77] 44772(35.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [91] 56.2% make-exacts* [90] 40.1% eval-prog [115] 3.7% -------------------------------------------------------------------------- sort [64] 45.8% copying-mergesort [78] 54.2% [78] 7670(6.0%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [78] 54.2% loop [92] 35.9% jloop [4] 10.0% -------------------------------------------------------------------------- location-do [79] 41.3% for-loop [66] 58.7% [79] 4528(3.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [93] 58.7% location-do [79] 41.3% -------------------------------------------------------------------------- match-e [65] 100.0% [80] 2126(1.7%) 1690(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [94] 25.8% list-cartesian-product [98] 9.4% -------------------------------------------------------------------------- add-splitpoint [69] 100.0% [81] 1026(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [95] 100.0% -------------------------------------------------------------------------- atab-add-altn [68] 100.0% [82] 816(0.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [110] 100.0% -------------------------------------------------------------------------- for-loop [70] 100.0% [83] 688(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [96] 100.0% -------------------------------------------------------------------------- merge-egraph-nodes! [71] 100.0% [84] 444(0.4%) 222(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [99] 50.0% -------------------------------------------------------------------------- atab-add-altn [68] 100.0% [85] 422(0.3%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [110] 100.0% -------------------------------------------------------------------------- ??? [73] 100.0% [86] 222(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [97] 100.0% -------------------------------------------------------------------------- for-loop [70] 100.0% [87] 220(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [104] 100.0% -------------------------------------------------------------------------- expression-cost [75] 100.0% [88] 220(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [122] 100.0% -------------------------------------------------------------------------- match-e [65] 100.0% [89] 200(0.2%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [100] 100.0% -------------------------------------------------------------------------- loop [77] 35.4% loop [63] 64.6% [90] 50710(40.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [101] 50.9% loop [109] 47.0% eval-prog [115] 2.1% -------------------------------------------------------------------------- loop [63] 38.0% loop [77] 62.0% [91] 40540(32.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [101] 100.0% -------------------------------------------------------------------------- sort [64] 30.4% copying-mergesort [78] 69.6% [92] 6620(5.2%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [102] 93.1% ??? [121] 6.9% -------------------------------------------------------------------------- location-do [79] 100.0% [93] 4528(3.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [103] 91.2% f6 [143] 4.4% taylor-quotient [108] 4.4% -------------------------------------------------------------------------- match-e [65] 20.5% for-loop [80] 79.5% [94] 1084(0.9%) 236(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [65] 57.7% ??? [107] 20.5% -------------------------------------------------------------------------- for-loop [81] 100.0% [95] 1026(0.8%) 1026(0.8%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 -------------------------------------------------------------------------- for-loop [83] 100.0% [96] 688(0.5%) 0(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [104] 100.0% -------------------------------------------------------------------------- best-alt [86] 50.0% extract-alt [28] 50.0% [97] 444(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [105] 100.0% -------------------------------------------------------------------------- list-cartesian-product [98] 24.9% for-loop [80] 24.9% match-e [65] 50.2% [98] 402(0.3%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [106] 75.1% list-cartesian-product [98] 24.9% -------------------------------------------------------------------------- update-leader! [84] 100.0% [99] 222(0.2%) 222(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 -------------------------------------------------------------------------- curry* [89] 100.0% [100] 200(0.2%) 200(0.2%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- ??? [118] 0.3% f6 [143] 3.9% make-exacts* [90] 37.3% loop [91] 58.5% [101] 69250(54.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [109] 94.0% ??? [121] 1.8% f6 [143] 1.5% parse-loop12 [132] 0.8% ??? [118] 0.6% simplify-node [111] 0.4% ??? [150] 0.3% ->flonum [123] 0.3% taylor-invert [113] 0.2% -------------------------------------------------------------------------- jloop [4] 31.7% loop [92] 68.3% [102] 9022(7.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [115] 95.3% ??? [121] 4.7% -------------------------------------------------------------------------- approximate9 [93] 100.0% [103] 4130(3.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [122] 95.1% make-term [114] 4.9% -------------------------------------------------------------------------- for-loop [87] 24.2% loop [96] 75.8% [104] 908(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [115] 100.0% -------------------------------------------------------------------------- f6 [143] 31.3% loop [97] 68.7% [105] 646(0.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [110] 68.7% f6 [143] 31.3% -------------------------------------------------------------------------- list-cartesian-product [98] 100.0% [106] 402(0.3%) 402(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- for-loop [94] 100.0% [107] 222(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [112] 100.0% -------------------------------------------------------------------------- approximate9 [93] 100.0% [108] 198(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [120] 100.0% -------------------------------------------------------------------------- loop! [119] 0.1% f6 [143] 0.2% make-exacts* [90] 0.2% ??? [121] 0.2% post-process [24] 0.3% append-map [44] 0.4% extract-alt [28] 1.0% parse-loop12 [132] 1.0% infer-splitpoints4 [33] 1.8% ??? [131] 2.9% map [101] 3.1% loop [109] 88.7% [109] 102248(80.6%) 890(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [109] 88.7% ??? [121] 3.3% hash-ref! [122] 2.9% option-on-expr [42] 1.8% simplify [116] 1.0% ??? [118] 0.6% parse-loop12 [132] 0.4% taylor-alt [53] 0.4% completely-simplify-alt [3] 0.3% simplify [27] 0.2% ->flonum [123] 0.2% loop! [119] 0.1% localize-error [67] 0.0% ??? [150] 0.0% ...higher-order.rkt:373:33 [142] 0.0% real->bigfloat [130] 0.0% ??? [156] 0.0% -------------------------------------------------------------------------- option-on-expr [42] 11.7% override-at-pnts [85] 22.2% composed [105] 23.3% best-and-tied-at-points [82] 42.9% [110] 1904(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [117] 88.3% eval-prog [115] 11.7% -------------------------------------------------------------------------- map [101] 100.0% [111] 402(0.3%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f6 [143] 50.2% append-map [44] 49.8% -------------------------------------------------------------------------- ??? [107] 100.0% [112] 222(0.2%) 222(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- map [101] 100.0% [113] 220(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [120] 100.0% -------------------------------------------------------------------------- loop [103] 100.0% [114] 202(0.2%) 202(0.2%) make-term ...lock/herbie/src/core/taylor.rkt:124:0 -------------------------------------------------------------------------- errors [110] 1.7% for-loop [72] 3.5% ??? [104] 7.0% make-exacts* [90] 8.2% loop [77] 13.0% ??? [102] 66.5% [115] 12924(10.2%) 7706(6.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [122] 30.9% ??? [124] 3.6% parse-lambda [126] 3.4% go [128] 1.3% -------------------------------------------------------------------------- loop [109] 24.7% ??? [51] 75.3% [116] 5092(4.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [25] 68.6% simplify-expr [16] 22.3% for-loop [125] 9.0% -------------------------------------------------------------------------- errors [110] 100.0% [117] 1682(1.3%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [121] 75.0% ->flonum [123] 13.0% ulp-difference [152] 12.0% -------------------------------------------------------------------------- map [101] 12.4% loop [109] 87.6% [118] 1280(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [122] 96.9% map [101] 3.1% -------------------------------------------------------------------------- loop [109] 23.9% merge-egraph-nodes! [71] 23.9% apply-match [54] 52.1% [119] 422(0.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [127] 76.1% loop [109] 23.9% -------------------------------------------------------------------------- taylor-quotient [108] 47.4% taylor-invert [113] 52.6% [120] 418(0.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [122] 100.0% -------------------------------------------------------------------------- jloop [4] 0.2% ??? [102] 0.5% loop [92] 0.5% map [101] 1.3% for-loop [117] 1.4% loop [109] 96.1% [121] 92542(73.0%) 690(0.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [129] 89.6% real->bigfloat [130] 6.4% loop [109] 2.4% ??? [156] 0.9% -------------------------------------------------------------------------- for-loop [149] 0.2% for-loop [31] 0.5% compile [88] 0.6% for-loop [20] 0.7% for-loop [30] 0.8% ??? [29] 1.3% ??? [131] 1.7% ??? [7] 1.9% for-loop [18] 2.3% first-nonzero-exp [120] 2.5% localize-error [67] 4.2% ??? [134] 4.8% for-loop [17] 5.2% ??? [118] 9.1% loop [103] 9.1% ??? [133] 13.0% eval-prog [115] 14.4% loop [109] 27.1% [122] 9624(7.6%) 1700(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [131] 28.8% ??? [133] 13.0% parse-loop12 [132] 11.0% bigfloat-hash [135] 9.4% ??? [6] 5.7% simplify [27] 5.2% ??? [5] 5.2% ??? [134] 4.8% f6 [143] 4.4% ??? [7] 2.6% taylor [153] 1.0% ??? [8] 0.8% ??? [9] 0.5% ??? [10] 0.2% -------------------------------------------------------------------------- map [101] 24.0% for-loop [117] 26.2% loop [109] 49.8% [123] 832(0.7%) 218(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [158] 49.8% ??? [162] 24.0% -------------------------------------------------------------------------- eval-prog [115] 100.0% [124] 462(0.4%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [136] 100.0% -------------------------------------------------------------------------- simplify [116] 100.0% [125] 460(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [25] 100.0% -------------------------------------------------------------------------- eval-prog [115] 100.0% [126] 444(0.4%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:393:2 loop [137] 100.0% -------------------------------------------------------------------------- loop! [119] 100.0% [127] 422(0.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [138] 52.1% for-loop [139] 47.9% -------------------------------------------------------------------------- eval-prog [115] 100.0% [128] 174(0.1%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [140] 100.0% -------------------------------------------------------------------------- ??? [121] 100.0% [129] 82888(65.3%) 2184(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [150] 73.5% bf* [141] 13.1% ...higher-order.rkt:373:33 [142] 8.6% ??? [158] 0.8% ...higher-order.rkt:369:33 [146] 0.5% -------------------------------------------------------------------------- loop [109] 6.4% ??? [121] 93.6% [130] 6290(5.0%) 4254(3.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [163] 32.4% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [131] 3794(3.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [109] 94.2% hash-ref! [122] 5.8% -------------------------------------------------------------------------- loop [109] 3.4% append-map [44] 5.3% f6 [143] 5.4% for-loop [22] 5.4% parse-loop12 [132] 14.9% map [101] 15.4% simplify [27] 16.2% hash-ref! [122] 34.0% [132] 3762(3.0%) 1458(1.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [109] 35.9% parse-loop12 [132] 14.9% for-loop [147] 10.7% f6 [143] 6.8% for-loop [149] 5.4% loop [148] 1.5% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [133] 3708(2.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [122] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [134] 2866(2.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [122] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 100.0% [135] 2738(2.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [144] 57.4% sig+exp->bigfloat [145] 42.6% -------------------------------------------------------------------------- ??? 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[129] 100.0% [141] 10836(8.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [150] 100.0% -------------------------------------------------------------------------- loop [109] 2.8% ??? [129] 97.2% [142] 7338(5.8%) 1292(1.0%) ...higher-order.rkt:373:33 (unknown source) ??? [151] 76.2% ??? [156] 6.2% -------------------------------------------------------------------------- composed [105] 1.1% approximate9 [93] 1.3% simplify-node [111] 1.8% append-map [44] 3.2% parse-loop12 [132] 7.2% f6 [143] 11.2% map [101] 19.0% hash-ref! [122] 21.3% simplify [27] 33.8% [143] 3758(3.0%) 1228(1.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [101] 58.0% f6 [143] 11.2% append-map [44] 3.2% loop [109] 1.8% parse-loop12 [132] 1.8% taylor-sqrt [11] 1.3% taylor [153] 1.2% composed [105] 1.1% -------------------------------------------------------------------------- bigfloat-hash [135] 100.0% [144] 1572(1.2%) 1572(1.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- bigfloat-hash [135] 100.0% [145] 1166(0.9%) 1166(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 -------------------------------------------------------------------------- ??? [129] 100.0% [146] 438(0.3%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [156] 100.0% -------------------------------------------------------------------------- parse-loop12 [132] 100.0% [147] 402(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [154] 100.0% -------------------------------------------------------------------------- parse-loop12 [132] 10.0% loop [148] 90.0% [148] 232(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [148] 90.0% ulp-difference [152] 10.0% -------------------------------------------------------------------------- parse-loop12 [132] 100.0% [149] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [122] 100.0% -------------------------------------------------------------------------- map [101] 0.3% loop [109] 0.6% bf* [141] 15.0% ??? [129] 84.2% [150] 72442(57.1%) 41574(32.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [155] 30.4% ??? [162] 6.3% bflog [157] 5.9% -------------------------------------------------------------------------- ...higher-order.rkt:373:33 [142] 100.0% [151] 5594(4.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [156] 100.0% -------------------------------------------------------------------------- for-loop [117] 46.5% loop [148] 53.5% [152] 434(0.3%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [158] 100.0% -------------------------------------------------------------------------- hash-ref! [122] 47.6% f6 [143] 52.4% [153] 420(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [159] 52.4% debug7 [161] 47.6% -------------------------------------------------------------------------- for-loop [147] 100.0% [154] 402(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [160]100.0% -------------------------------------------------------------------------- ??? [150] 100.0% [155] 22028(17.4%) 17694(13.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [163] 19.7% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [146] 5.4% ...higher-order.rkt:373:33 [142] 5.6% loop [109] 8.8% ??? [121] 10.8% ??? [151] 69.3% [156] 8070(6.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [162] 100.0% -------------------------------------------------------------------------- ??? [150] 100.0% [157] 4250(3.4%) 1870(1.5%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [163] 56.0% -------------------------------------------------------------------------- ->flonum [123] 27.8% ulp-difference [152] 29.2% ??? [129] 43.0% [158] 1488(1.2%) 1488(1.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- taylor [153] 35.5% simplify [27] 64.5% [159] 620(0.5%) 420(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [165] 32.3% -------------------------------------------------------------------------- make-multiplication-node [154] 100.0% [160] 402(0.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [164] 100.0% -------------------------------------------------------------------------- taylor [153] 100.0% [161] 200(0.2%) 200(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 -------------------------------------------------------------------------- ->flonum [123] 1.6% ??? [150] 35.7% ??? [156] 62.8% [162] 12860(10.1%) 5530(4.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [166] 50.9% ??? [167] 6.1% -------------------------------------------------------------------------- real->bigfloat [130] 23.3% bflog [157] 27.2% bfmul [155] 49.5% [163] 8750(6.9%) 8750(6.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- make-multiplication-subnode [160]100.0% [164] 402(0.3%) 200(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [168] 50.2% -------------------------------------------------------------------------- debug-print [159] 100.0% [165] 200(0.2%) 200(0.2%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- ??? [162] 100.0% [166] 6544(5.2%) 4080(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [169] 37.7% -------------------------------------------------------------------------- ??? [162] 100.0% [167] 786(0.6%) 786(0.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- group-by68 [164] 100.0% [168] 202(0.2%) 202(0.2%) hash-update ...cket/private/more-scheme.rkt:356:13 -------------------------------------------------------------------------- ??? [166] 100.0% [169] 2464(1.9%) 2464(1.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------