Profiling results ----------------- Total cpu time observed: 120960ms (out of 121756ms) Number of samples taken: 516 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 182 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [48] 100.0% [1] 114494(94.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [14] 100.0% -------------------------------------------------------------------------- ??? [48] 100.0% [2] 34558(28.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [15] 42.3% finalize-table! [16] 31.4% for-loop [17] 22.9% loop [58] 2.7% setup-prog [24] 0.6% -------------------------------------------------------------------------- loop [127] 100.0% [3] 3976(3.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [18] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [4] 3716(3.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [146] 77.1% ??? [38] 22.9% -------------------------------------------------------------------------- copying-mergesort [69] 100.0% [5] 3688(3.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [90] 88.2% ??? [134] 11.8% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [6] 3094(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [7] 2914(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [8] 2884(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [21] 71.5% hash-ref! [146] 28.5% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [9] 834(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:408:23 for-loop [22] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [10] 620(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [23] 100.0% -------------------------------------------------------------------------- f6 [105] 100.0% [11] 204(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [100] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [12] 200(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [26] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [13] 200(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [25] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.3% [14] 115348(95.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [48] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 14634(12.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [27] 89.8% extract-alt [30] 10.2% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 10860(9.0%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [28] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 7930(6.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [29] 100.0% -------------------------------------------------------------------------- simplify [60] 29.5% completely-simplify-alt [3] 70.5% [18] 5642(4.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [81] 96.4% mk-egraph [34] 3.6% -------------------------------------------------------------------------- ??? [6] 100.0% [19] 3094(2.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [146] 73.4% ??? [38] 20.1% simplify [100] 6.5% -------------------------------------------------------------------------- ??? [7] 100.0% [20] 2914(2.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [146] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [21] 2062(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [146] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [22] 834(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:411:30 for-loop [31] 100.0% -------------------------------------------------------------------------- ??? [10] 100.0% [23] 620(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [32] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [24] 212(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [33] 100.0% -------------------------------------------------------------------------- ??? [13] 100.0% [25] 200(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [154] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [26] 200(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [100] 100.0% -------------------------------------------------------------------------- get-final-combination [15] 100.0% [27] 13146(10.9%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [35] 93.8% ??? [45] 6.2% -------------------------------------------------------------------------- finalize-table! [16] 100.0% [28] 10860(9.0%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [36] 51.1% loop [127] 38.6% ??? [45] 6.5% localize-error [63] 3.8% -------------------------------------------------------------------------- for-loop [17] 100.0% [29] 7930(6.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [37] 68.2% finalize-iter! [39] 12.9% gen-series! [40] 10.6% localize-error [63] 5.5% choose-best-alt! [41] 2.8% -------------------------------------------------------------------------- get-final-combination [15] 100.0% [30] 1488(1.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [127] 100.0% -------------------------------------------------------------------------- for-loop [22] 100.0% [31] 834(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:414:42 hash-ref! [146] 75.8% ??? [38] 24.2% -------------------------------------------------------------------------- for-loop [23] 100.0% [32] 620(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [146] 100.0% -------------------------------------------------------------------------- setup-prog [24] 100.0% [33] 212(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [60] 100.0% -------------------------------------------------------------------------- simplify-expr [18] 100.0% [34] 202(0.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 mk-enode! [121] 100.0% -------------------------------------------------------------------------- split-table [27] 100.0% [35] 12336(10.2%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [42] 79.9% loop [127] 18.1% exprs-to-branch-on [47] 2.0% -------------------------------------------------------------------------- post-process [28] 100.0% [36] 5546(4.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [43] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [37] 5412(4.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [44] 100.0% -------------------------------------------------------------------------- for-loop [31] 6.0% for-loop [19] 43.2% ??? [4] 50.8% [38] 1674(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [146] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [39] 1020(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [45] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [40] 840(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [46] 100.0% -------------------------------------------------------------------------- run-iter! [29] 100.0% [41] 222(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [45] 100.0% -------------------------------------------------------------------------- loop [127] 18.5% infer-splitpoints4 [35] 81.5% [42] 12094(10.0%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [49] 82.0% pick-errors [52] 9.1% err-lsts->split-indices [53] 7.1% loop [127] 1.8% -------------------------------------------------------------------------- f6 [105] 1.2% simplify-node [108] 3.0% for-loop [36] 95.8% [43] 5546(4.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [50] 55.2% loop [127] 40.6% parse-loop12 [154] 3.0% f6 [105] 1.2% -------------------------------------------------------------------------- simplify! [37] 100.0% [44] 5412(4.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [48] 100.0% -------------------------------------------------------------------------- choose-best-alt! [41] 8.0% post-process [28] 25.6% split-table [27] 29.4% finalize-iter! [39] 37.0% [45] 2758(2.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [51] 47.2% split-atab [54] 29.4% atab-add-altns [55] 15.4% atab-pick-alt8 [57] 8.0% -------------------------------------------------------------------------- gen-series! [40] 100.0% [46] 840(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [50] 100.0% -------------------------------------------------------------------------- infer-splitpoints4 [35] 100.0% [47] 242(0.2%) 0(0.0%) exprs-to-branch-on ...ie/src/core/regimes.rkt:41:0 critical-subexpression [56] 100.0% -------------------------------------------------------------------------- for-loop [44] 1.5% run [14] 49.1% [48] 116554(96.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.3% loop [58] 35.6% run-improve58 [2] 14.5% simplify [60] 1.5% -------------------------------------------------------------------------- option-on-expr [42] 100.0% [49] 9914(8.2%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [59] 100.0% -------------------------------------------------------------------------- for-loop [46] 13.2% loop [127] 35.2% append-map [43] 51.6% [50] 6386(5.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [61] 100.0% -------------------------------------------------------------------------- ??? [45] 100.0% [51] 1302(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [62] 100.0% -------------------------------------------------------------------------- option-on-expr [42] 100.0% [52] 1100(0.9%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [64] 100.0% -------------------------------------------------------------------------- option-on-expr [42] 100.0% [53] 858(0.7%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [65] 100.0% -------------------------------------------------------------------------- ??? [45] 100.0% [54] 810(0.7%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [66] 100.0% -------------------------------------------------------------------------- ??? [45] 100.0% [55] 424(0.4%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [62] 100.0% -------------------------------------------------------------------------- exprs-to-branch-on [47] 100.0% [56] 242(0.2%) 0(0.0%) critical-subexpression ...rc/core/regimes.rkt:49:0 localize-error [63] 100.0% -------------------------------------------------------------------------- ??? [45] 100.0% [57] 222(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [67] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 1.1% ??? [48] 98.9% [58] 82918(68.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [68] 43.6% make-exacts* [79] 36.6% loop [80] 19.5% for-loop [77] 0.2% -------------------------------------------------------------------------- sort-context-on-expr [49] 100.0% [59] 9914(8.2%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [69] 72.0% loop [82] 28.0% -------------------------------------------------------------------------- simplify-alt [33] 3.0% loop [127] 20.9% ??? [48] 76.1% [60] 7112(5.9%) 208(0.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [81] 67.4% simplify-expr [18] 23.4% for-loop [74] 6.2% -------------------------------------------------------------------------- taylor-alt [50] 100.0% [61] 6386(5.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [70] 100.0% -------------------------------------------------------------------------- atab-add-altns [55] 24.6% for-loop [51] 75.4% [62] 1726(1.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [71] 87.1% override-at-pnts [75] 12.9% -------------------------------------------------------------------------- loop [127] 16.8% critical-subexpression [56] 18.5% post-process [28] 31.5% run-iter! [29] 33.3% [63] 1310(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [146] 100.0% -------------------------------------------------------------------------- pick-errors [52] 100.0% [64] 1100(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [98] 100.0% -------------------------------------------------------------------------- err-lsts->split-indices [53] 100.0% [65] 858(0.7%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [72] 100.0% -------------------------------------------------------------------------- split-atab [54] 100.0% [66] 810(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [73] 75.3% for-loop [78] 24.7% -------------------------------------------------------------------------- atab-pick-alt8 [57] 100.0% [67] 222(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [76] 100.0% -------------------------------------------------------------------------- loop [58] 100.0% [68] 36192(29.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [80] 49.9% make-exacts* [79] 44.2% eval-prog [98] 5.8% -------------------------------------------------------------------------- sort [59] 43.0% copying-mergesort [69] 57.0% [69] 7136(5.9%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [69] 57.0% loop [82] 30.1% jloop [5] 12.9% -------------------------------------------------------------------------- location-do [70] 42.6% for-loop [61] 57.4% [70] 6386(5.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [83] 52.5% location-do [70] 42.6% simplify [100] 4.9% -------------------------------------------------------------------------- atab-add-altn [62] 100.0% [71] 1504(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [84] 100.0% -------------------------------------------------------------------------- add-splitpoint [65] 100.0% [72] 858(0.7%) 216(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [85] 74.8% -------------------------------------------------------------------------- for-loop [66] 100.0% [73] 610(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [86] 100.0% -------------------------------------------------------------------------- simplify [60] 100.0% [74] 442(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [81] 100.0% -------------------------------------------------------------------------- atab-add-altn [62] 100.0% [75] 222(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [84] 100.0% -------------------------------------------------------------------------- ??? [67] 100.0% [76] 222(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [87] 100.0% -------------------------------------------------------------------------- loop [58] 100.0% [77] 200(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [88] 100.0% -------------------------------------------------------------------------- for-loop [66] 100.0% [78] 200(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [93] 100.0% -------------------------------------------------------------------------- loop [68] 34.5% loop [58] 65.5% [79] 46370(38.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [127] 50.7% map [112] 48.4% eval-prog [98] 0.9% -------------------------------------------------------------------------- loop [58] 47.2% loop [68] 52.8% [80] 34232(28.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [112] 100.0% -------------------------------------------------------------------------- for-loop [74] 4.1% simplify [60] 44.9% simplify-expr [18] 50.9% [81] 10678(8.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [89] 97.9% map-enodes [96] 2.1% -------------------------------------------------------------------------- sort [59] 44.6% copying-mergesort [69] 55.4% [82] 6226(5.1%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [90] 100.0% -------------------------------------------------------------------------- location-do [70] 100.0% [83] 5764(4.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [91] 64.5% f6 [105] 21.3% taylor-sqrt [94] 7.3% taylor-quotient [95] 6.9% -------------------------------------------------------------------------- composed [115] 10.2% override-at-pnts [75] 10.2% loop [127] 10.2% best-and-tied-at-points [71] 69.3% [84] 2170(1.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [92] 67.5% eval-prog [98] 32.5% -------------------------------------------------------------------------- for-loop [72] 100.0% [85] 642(0.5%) 642(0.5%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 -------------------------------------------------------------------------- for-loop [73] 100.0% [86] 610(0.5%) 0(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [93] 100.0% -------------------------------------------------------------------------- best-alt [76] 100.0% [87] 222(0.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [115] 100.0% -------------------------------------------------------------------------- for-loop [77] 100.0% [88] 200(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [97] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [81] 100.0% [89] 10456(8.6%) 222(0.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [99] 76.3% apply-match [106] 11.7% loop [101] 9.8% -------------------------------------------------------------------------- jloop [5] 34.3% loop [82] 65.7% [90] 9480(7.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [98] 95.3% ??? [134] 4.7% -------------------------------------------------------------------------- approximate9 [83] 100.0% [91] 3716(3.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [146] 100.0% -------------------------------------------------------------------------- errors [84] 100.0% [92] 1464(1.2%) 196(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [134] 73.1% ulp-difference [104] 13.5% -------------------------------------------------------------------------- for-loop [78] 24.7% loop [86] 75.3% [93] 810(0.7%) 200(0.2%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [98] 75.3% -------------------------------------------------------------------------- f6 [105] 32.5% approximate9 [83] 67.5% [94] 622(0.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [100] 64.6% hash-ref! [146] 35.4% -------------------------------------------------------------------------- approximate9 [83] 100.0% [95] 400(0.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [102] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [81] 100.0% [96] 222(0.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [103] 100.0% -------------------------------------------------------------------------- for-loop [88] 100.0% [97] 200(0.2%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [160] 100.0% -------------------------------------------------------------------------- make-exacts* [79] 3.1% ??? [93] 4.4% errors [84] 5.0% for-loop [64] 7.9% loop [68] 15.1% ??? [90] 64.6% [98] 14000(11.6%) 9850(8.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [146] 18.0% ??? [107] 6.7% go [109] 1.8% inductor [110] 1.5% -------------------------------------------------------------------------- for-loop [99] 48.8% one-iter [89] 51.2% [99] 7978(6.6%) 2582(2.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [99] 48.8% match-e [113] 33.8% -------------------------------------------------------------------------- for-loop [19] 3.3% for-loop [26] 3.3% taylor-invert [11] 3.4% taylor-sqrt [94] 6.7% loop [127] 7.0% location-do [70] 10.4% hash-ref! [146] 65.8% [100] 5984(4.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [105] 61.9% debug-print [128] 17.7% parse-loop12 [154] 10.3% simplify-node [108] 6.7% debug7 [111] 3.3% -------------------------------------------------------------------------- one-iter [89] 100.0% [101] 1028(0.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [106] 100.0% -------------------------------------------------------------------------- taylor-quotient [95] 100.0% [102] 400(0.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [146] 100.0% -------------------------------------------------------------------------- map-enodes [96] 100.0% [103] 222(0.2%) 222(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 -------------------------------------------------------------------------- for-loop [92] 100.0% [104] 198(0.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [160] 100.0% -------------------------------------------------------------------------- loop [127] 1.7% append-map [43] 1.7% f6 [105] 6.8% approximate9 [83] 8.4% parse-loop12 [154] 10.5% hash-ref! [146] 11.7% map [112] 26.0% simplify [100] 33.1% [105] 5800(4.8%) 402(0.3%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [112] 75.2% f6 [105] 6.8% combine-mterms [117] 4.3% taylor [124] 3.5% loop [127] 1.8% append-map [43] 1.7% composed [115] 0.9% taylor-sqrt [94] 0.9% taylor-invert [11] 0.5% -------------------------------------------------------------------------- loop [101] 45.6% one-iter [89] 54.4% [106] 2256(1.9%) 200(0.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [113] 45.6% substitute-e [116] 18.8% for-loop [119] 9.0% loop! [123] 9.0% mk-enode! [121] 8.9% -------------------------------------------------------------------------- eval-prog [98] 100.0% [107] 942(0.8%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [114] 100.0% -------------------------------------------------------------------------- simplify [100] 100.0% [108] 400(0.3%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [43] 100.0% -------------------------------------------------------------------------- eval-prog [98] 100.0% [109] 246(0.2%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [118] 100.0% -------------------------------------------------------------------------- inductor [110] 50.0% eval-prog [98] 50.0% [110] 206(0.2%) 206(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [110] 50.0% -------------------------------------------------------------------------- simplify [100] 100.0% [111] 200(0.2%) 200(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 -------------------------------------------------------------------------- parse-loop12 [154] 0.2% ??? [136] 0.2% f6 [105] 7.8% make-exacts* [79] 36.4% loop [80] 55.5% [112] 61664(51.0%) 210(0.2%) map ...acket/collects/racket/private/map.rkt:21:13 loop [127] 88.7% ??? [134] 3.2% f6 [105] 3.1% parse-loop12 [154] 3.0% ??? [136] 0.9% taylor [124] 0.3% make-multiplication-node [122] 0.3% ->flonum [135] 0.2% ??? [167] 0.1% -------------------------------------------------------------------------- for-loop [129] 8.7% apply-match [106] 16.0% for-loop [99] 75.3% [113] 6424(5.3%) 3686(3.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [120] 29.2% for-loop [129] 8.6% list-cartesian-product [130] 3.5% loop [127] 3.4% constant? [125] 3.1% -------------------------------------------------------------------------- ??? [107] 100.0% [114] 942(0.8%) 942(0.8%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- f6 [105] 49.8% argmins [87] 50.2% [115] 442(0.4%) 220(0.2%) composed ...ollects/racket/private/list.rkt:321:16 errors [84] 50.2% -------------------------------------------------------------------------- substitute-e [116] 26.2% apply-match [106] 73.8% [116] 424(0.4%) 222(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [121] 47.6% substitute-e [116] 26.2% -------------------------------------------------------------------------- f6 [105] 100.0% [117] 400(0.3%) 200(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [126] 50.0% -------------------------------------------------------------------------- go [109] 25.0% loop [118] 75.0% [118] 246(0.2%) 246(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [118] 75.0% -------------------------------------------------------------------------- apply-match [106] 100.0% [119] 202(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [123] 100.0% -------------------------------------------------------------------------- match-e [113] 100.0% [120] 1874(1.5%) 386(0.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [130] 46.3% for-loop [129] 22.4% loop [127] 10.8% -------------------------------------------------------------------------- apply-match [106] 33.1% substitute-e [116] 33.4% mk-egraph [34] 33.4% [121] 604(0.5%) 402(0.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [132] 33.4% -------------------------------------------------------------------------- map [112] 100.0% [122] 602(0.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [131]100.0% -------------------------------------------------------------------------- apply-match [106] 50.0% for-loop [119] 50.0% [123] 404(0.3%) 202(0.2%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [133] 50.0% -------------------------------------------------------------------------- map [112] 49.8% f6 [105] 50.2% [124] 402(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [128] 100.0% -------------------------------------------------------------------------- match-e [113] 100.0% [125] 202(0.2%) 202(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- combine-mterms [117] 100.0% [126] 200(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [146] 100.0% -------------------------------------------------------------------------- match-e [113] 0.0% for-loop [120] 0.2% parse-loop12 [154] 0.2% option-on-expr [42] 0.2% ??? [134] 0.3% f6 [105] 0.5% post-process [28] 0.7% make-exacts* [79] 0.8% extract-alt [30] 1.1% map [112] 1.5% ??? [159] 1.9% append-map [43] 2.3% infer-splitpoints4 [35] 2.4% loop [127] 87.7% [127] 92618(76.6%) 428(0.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [127] 87.7% option-on-expr [42] 2.4% ??? [134] 2.4% taylor-alt [50] 2.3% hash-ref! [146] 1.9% simplify [60] 1.1% completely-simplify-alt [3] 0.7% simplify [100] 0.5% real->bigfloat [147] 0.3% errors [84] 0.2% f6 [105] 0.1% ??? [136] 0.1% bf* [158] 0.0% ??? [163] 0.0% foldl [140] 0.0% ...higher-order.rkt:373:33 [155] 0.0% ??? [171] 0.0% localize-error [63] 0.0% ->flonum [135] 0.0% -------------------------------------------------------------------------- taylor [124] 27.5% simplify [100] 72.5% [128] 1464(1.2%) 620(0.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [137] 57.7% -------------------------------------------------------------------------- for-loop [120] 43.7% match-e [113] 56.3% [129] 1464(1.2%) 198(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [113] 71.4% ??? [141] 15.0% -------------------------------------------------------------------------- list-cartesian-product [130] 8.5% match-e [113] 16.9% for-loop [120] 74.6% [130] 1310(1.1%) 1088(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [139] 16.9% list-cartesian-product [130] 8.5% -------------------------------------------------------------------------- make-multiplication-node [122] 100.0% [131] 602(0.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [138] 66.8% group-by68 [144] 33.2% -------------------------------------------------------------------------- mk-enode! [121] 100.0% [132] 202(0.2%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [142] 100.0% -------------------------------------------------------------------------- loop! [123] 100.0% [133] 202(0.2%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [143] 100.0% -------------------------------------------------------------------------- jloop [5] 0.5% ??? [90] 0.5% for-loop [92] 1.3% map [112] 2.4% loop [127] 95.2% [134] 81104(67.1%) 2414(2.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [145] 85.4% real->bigfloat [147] 8.6% loop [127] 2.2% ??? [171] 0.5% -------------------------------------------------------------------------- map [112] 17.4% loop [127] 82.6% [135] 1228(1.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [148] 42.0% ??? [160] 40.6% ??? [174] 17.4% -------------------------------------------------------------------------- map [112] 21.9% loop [127] 78.1% [136] 898(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [146] 95.2% map [112] 4.8% -------------------------------------------------------------------------- debug-print [128] 100.0% [137] 844(0.7%) 844(0.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- make-multiplication-subnode [131]100.0% [138] 402(0.3%) 202(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [152] 49.8% -------------------------------------------------------------------------- list-cartesian-product [130] 100.0% [139] 222(0.2%) 222(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- loop [127] 100.0% [140] 220(0.2%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [149] 100.0% -------------------------------------------------------------------------- for-loop [129] 100.0% [141] 220(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [150] 100.0% -------------------------------------------------------------------------- new-enode [132] 100.0% [142] 202(0.2%) 202(0.2%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- custom-set-union [133] 100.0% [143] 202(0.2%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [151] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [131]100.0% [144] 200(0.2%) 0(0.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [153] 100.0% -------------------------------------------------------------------------- ??? [134] 100.0% [145] 69298(57.3%) 1740(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [163] 88.1% ...higher-order.rkt:373:33 [155] 5.5% bf* [158] 2.5% bf<= [161] 0.7% ...higher-order.rkt:369:33 [162] 0.4% ??? [160] 0.3% -------------------------------------------------------------------------- for-loop [169] 0.2% taylor-sqrt [94] 0.9% for-loop [31] 0.9% for-loop [32] 1.1% ??? [8] 1.7% for-loop [126] 2.4% first-nonzero-exp [102] 3.6% for-loop [21] 3.8% ??? [38] 3.8% for-loop [19] 4.8% ??? [4] 5.8% loop [91] 7.0% localize-error [63] 7.7% ??? [136] 8.0% for-loop [20] 8.5% ??? [156] 9.6% eval-prog [98] 11.8% loop [127] 18.4% [146] 8366(6.9%) 410(0.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [159] 18.4% parse-loop12 [154] 13.8% ??? [156] 9.6% ??? [6] 9.5% bigfloat-hash [157] 9.2% simplify [100] 8.9% ??? [7] 8.5% ??? [4] 7.0% ??? [8] 5.4% f6 [105] 1.9% ??? [9] 1.2% ??? [10] 1.1% ??? [13] 0.2% ??? [12] 0.2% -------------------------------------------------------------------------- loop [127] 14.2% ??? [134] 85.8% [147] 8106(6.7%) 7224(6.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [175] 10.9% -------------------------------------------------------------------------- ->flonum [135] 100.0% [148] 516(0.4%) 278(0.2%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [175] 46.1% -------------------------------------------------------------------------- foldl [140] 100.0% [149] 220(0.2%) 220(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- ??? 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[167] 4.2% for-loop [169] 4.2% map [112] 1.4% -------------------------------------------------------------------------- loop [127] 5.2% ??? [145] 94.8% [155] 4004(3.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [164] 71.9% ??? [171] 28.1% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [156] 3296(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [146] 100.0% -------------------------------------------------------------------------- hash-ref! [146] 100.0% [157] 2310(1.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [165] 65.8% sig+exp->bigfloat [166] 34.2% -------------------------------------------------------------------------- loop [127] 20.8% ??? [145] 79.2% [158] 2218(1.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [163] 100.0% -------------------------------------------------------------------------- hash-ref! 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[171] 93.1% -------------------------------------------------------------------------- bigfloat-hash [157] 100.0% [165] 1520(1.3%) 1520(1.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- bigfloat-hash [157] 100.0% [166] 790(0.7%) 790(0.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 -------------------------------------------------------------------------- parse-loop12 [154] 47.6% map [112] 52.4% [167] 420(0.3%) 200(0.2%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [173] 52.4% -------------------------------------------------------------------------- parse-loop12 [154] 100.0% [168] 202(0.2%) 202(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 -------------------------------------------------------------------------- parse-loop12 [154] 100.0% [169] 200(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [146] 100.0% -------------------------------------------------------------------------- ??? [163] 100.0% [170] 10468(8.7%) 7300(6.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [175] 30.3% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [162] 5.3% ??? [134] 8.2% loop [127] 8.7% ...higher-order.rkt:373:33 [155] 23.0% ??? [164] 54.8% [171] 4888(4.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [174] 100.0% -------------------------------------------------------------------------- ??? [163] 100.0% [172] 3624(3.0%) 3202(2.6%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [175] 11.6% -------------------------------------------------------------------------- ??? [167] 100.0% [173] 220(0.2%) 220(0.2%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 -------------------------------------------------------------------------- ->flonum [135] 1.9% bf<= [161] 4.1% ??? [171] 42.4% ??? [163] 51.7% [174] 11536(9.5%) 5948(4.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [176] 46.5% -------------------------------------------------------------------------- ??? [148] 5.1% bfexp [172] 9.0% real->bigfloat [147] 18.7% bfmul [170] 67.3% [175] 4710(3.9%) 4710(3.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [174] 100.0% [176] 5370(4.4%) 2402(2.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [177] 55.3% -------------------------------------------------------------------------- ??? [176] 100.0% [177] 2968(2.5%) 2968(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------