Profiling results ----------------- Total cpu time observed: 316482ms (out of 321224ms) Number of samples taken: 1333 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 11 of 193 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [39] 100.0% [1] 262854(83.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% -------------------------------------------------------------------------- ??? [39] 100.0% [2] 258622(81.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [12] 98.1% finalize-table! [13] 1.2% loop [44] 0.7% get-final-combination [19] 0.1% -------------------------------------------------------------------------- location-do [174] 100.0% [3] 3328(1.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [14] 80.2% taylor-quotient [18] 12.6% f6 [135] 7.2% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [4] 2208(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [117] 91.1% ??? [24] 8.9% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [5] 1554(0.5%) 238(0.1%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 92.3% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [6] 1378(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% -------------------------------------------------------------------------- ??? [112] 50.0% f6 [135] 50.0% [7] 480(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [25] 50.0% simplify [22] 50.0% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [8] 438(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [17] 100.0% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [9] 420(0.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [117] 52.4% for-loop [20] 47.6% -------------------------------------------------------------------------- parse-loop12 [161] 100.0% [10] 238(0.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f6 [135] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.9% [11] 263086(83.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 253588(80.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 3006(0.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [23] 100.0% -------------------------------------------------------------------------- approximate9 [3] 100.0% [14] 2670(0.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [117] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [15] 1554(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [117] 56.5% ??? [24] 29.5% simplify [22] 14.0% -------------------------------------------------------------------------- ??? [6] 100.0% [16] 1378(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [117] 100.0% -------------------------------------------------------------------------- ??? [8] 100.0% [17] 438(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [117] 100.0% -------------------------------------------------------------------------- approximate9 [3] 100.0% [18] 418(0.1%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [25] 52.2% simplify [22] 47.8% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [19] 220(0.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [26] 100.0% -------------------------------------------------------------------------- ??? [9] 100.0% [20] 200(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [117] 100.0% -------------------------------------------------------------------------- for-loop [12] 100.0% [21] 253588(80.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [27] 97.0% finalize-iter! [28] 2.1% gen-series! [30] 0.6% gen-rewrites! [33] 0.1% -------------------------------------------------------------------------- taylor-quotient [18] 6.0% for-loop [15] 6.6% taylor-sqrt [153] 6.7% location-do [174] 7.2% taylor-invert [7] 7.2% hash-ref! [117] 66.4% [22] 3328(1.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [135] 40.1% parse-loop12 [161] 27.0% debug-print [31] 19.2% simplify-node [32] 13.7% -------------------------------------------------------------------------- finalize-table! [13] 100.0% [23] 3006(0.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [29] 64.3% loop [92] 28.5% ??? [35] 7.3% -------------------------------------------------------------------------- ??? [4] 22.4% for-loop [15] 77.6% [24] 874(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [117] 100.0% -------------------------------------------------------------------------- taylor-quotient [18] 47.6% taylor-invert [7] 52.4% [25] 458(0.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [117] 100.0% -------------------------------------------------------------------------- get-final-combination [19] 100.0% [26] 220(0.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [92] 100.0% -------------------------------------------------------------------------- run-iter! [21] 100.0% [27] 245902(77.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [34] 100.0% -------------------------------------------------------------------------- run-iter! [21] 100.0% [28] 5316(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% -------------------------------------------------------------------------- post-process [23] 100.0% [29] 1932(0.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [146] 100.0% -------------------------------------------------------------------------- run-iter! [21] 100.0% [30] 1634(0.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% -------------------------------------------------------------------------- simplify [22] 100.0% [31] 638(0.2%) 418(0.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [38] 34.5% -------------------------------------------------------------------------- simplify [22] 100.0% [32] 456(0.1%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [146] 52.2% f6 [135] 47.8% -------------------------------------------------------------------------- run-iter! [21] 100.0% [33] 240(0.1%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [37] 100.0% -------------------------------------------------------------------------- simplify! [27] 98.7% [34] 249138(78.7%) 460(0.1%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 99.8% -------------------------------------------------------------------------- post-process [23] 3.9% finalize-iter! [28] 96.1% [35] 5534(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 96.1% atab-add-altns [42] 3.9% -------------------------------------------------------------------------- gen-series! [30] 100.0% [36] 1634(0.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [159] 100.0% -------------------------------------------------------------------------- gen-rewrites! [33] 100.0% [37] 240(0.1%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [41] 100.0% -------------------------------------------------------------------------- debug-print [31] 100.0% [38] 220(0.1%) 220(0.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------------- for-loop [34] 29.9% run [11] 31.8% [39] 305646(96.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 31.7% run-improve58 [2] 31.1% simplify [43] 30.1% loop [44] 7.2% -------------------------------------------------------------------------- ??? [35] 100.0% [40] 5316(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% -------------------------------------------------------------------------- for-loop [37] 100.0% [41] 240(0.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [46] 100.0% -------------------------------------------------------------------------- ??? [35] 100.0% [42] 218(0.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [45] 100.0% -------------------------------------------------------------------------- loop [92] 0.1% ??? [39] 99.9% [43] 249294(78.8%) 262(0.1%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [47] 58.6% simplify-expr [48] 39.6% iterate-egraph!5 [53] 1.5% loop [54] 0.2% -------------------------------------------------------------------------- run-improve58 [2] 4.0% ??? [39] 96.0% [44] 45200(14.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [49] 48.9% make-exacts* [55] 31.0% loop [56] 19.7% for-loop [52] 0.5% -------------------------------------------------------------------------- atab-add-altns [42] 3.9% for-loop [40] 96.1% [45] 5534(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 100.0% -------------------------------------------------------------------------- ??? [41] 33.3% matcher [60] 66.7% [46] 240(0.1%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [51] 100.0% -------------------------------------------------------------------------- simplify [43] 100.0% [47] 146140(46.2%) 786(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [53] 87.1% loop [54] 12.2% mk-egraph [59] 0.2% -------------------------------------------------------------------------- simplify [43] 99.1% [48] 99460(31.4%) 456(0.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [53] 88.2% loop [54] 11.1% mk-egraph [59] 0.2% -------------------------------------------------------------------------- loop [44] 100.0% [49] 22088(7.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 48.0% make-exacts* [55] 45.7% eval-prog [66] 6.3% -------------------------------------------------------------------------- atab-add-altn [45] 100.0% [50] 5534(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 92.0% for-loop [58] 8.0% -------------------------------------------------------------------------- rewriter [46] 100.0% [51] 240(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [60] 100.0% -------------------------------------------------------------------------- loop [44] 100.0% [52] 232(0.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [61] 100.0% -------------------------------------------------------------------------- simplify [43] 1.8% simplify-expr [48] 40.1% for-loop [47] 58.2% [53] 218882(69.2%) 220(0.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [62] 94.5% map-enodes [65] 5.1% *simplify-rules* [68] 0.2% debug7 [71] 0.1% -------------------------------------------------------------------------- simplify [43] 1.5% simplify-expr [48] 37.8% for-loop [47] 60.7% [54] 29324(9.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [64] 100.0% -------------------------------------------------------------------------- loop [49] 41.9% loop [44] 58.1% [55] 24090(7.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [92] 49.7% map [63] 43.9% eval-prog [66] 6.4% -------------------------------------------------------------------------- loop [44] 45.6% loop [49] 54.4% [56] 19480(6.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [63] 100.0% -------------------------------------------------------------------------- best-and-tied-at-points [50] 100.0% [57] 5090(1.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [66] 64.5% for-loop [67] 35.5% -------------------------------------------------------------------------- best-and-tied-at-points [50] 100.0% [58] 444(0.1%) 444(0.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 -------------------------------------------------------------------------- simplify-expr [48] 45.5% for-loop [47] 54.5% [59] 440(0.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [69] 100.0% -------------------------------------------------------------------------- for-loop [70] 20.0% matcher [60] 20.0% for-loop [51] 60.0% [60] 240(0.1%) 240(0.1%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [46] 40.0% matcher [60] 20.0% for-loop [70] 20.0% -------------------------------------------------------------------------- for-loop [52] 100.0% [61] 232(0.1%) 232(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 -------------------------------------------------------------------------- iterate-egraph!5 [53] 100.0% [62] 206756(65.3%) 7516(2.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [72] 54.0% loop [73] 41.3% apply-match [77] 0.4% -------------------------------------------------------------------------- f6 [135] 5.2% make-exacts* [55] 33.4% loop [56] 61.5% [63] 31682(10.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [92] 91.8% ??? [103] 3.0% parse-loop12 [161] 1.8% f6 [135] 1.7% ??? [112] 1.6% make-multiplication-node [171] 0.1% -------------------------------------------------------------------------- loop [54] 100.0% [64] 29324(9.3%) 238(0.1%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [74] 96.2% -------------------------------------------------------------------------- iterate-egraph!5 [53] 100.0% [65] 11192(3.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [92] 95.9% for-loop [106] 4.1% -------------------------------------------------------------------------- loop [49] 22.4% make-exacts* [55] 24.9% errors [57] 52.7% [66] 6232(2.0%) 2886(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [117] 42.9% inductor [149] 7.2% ??? [76] 3.6% -------------------------------------------------------------------------- errors [57] 100.0% [67] 1806(0.6%) 448(0.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [103] 75.2% -------------------------------------------------------------------------- iterate-egraph!5 [53] 100.0% [68] 476(0.2%) 236(0.1%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [98] 50.4% -------------------------------------------------------------------------- mk-egraph [59] 20.0% expr->enode [69] 80.0% [69] 440(0.1%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [69] 80.0% mk-enode! [95] 10.9% curried [124] 9.1% -------------------------------------------------------------------------- matcher [60] 100.0% [70] 240(0.1%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [60] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [53] 100.0% [71] 238(0.1%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [75] 100.0% -------------------------------------------------------------------------- for-loop [72] 49.4% one-iter [62] 50.6% [72] 111604(35.3%) 25512(8.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [72] 49.4% match-e [82] 38.1% ??? [107] 0.5% -------------------------------------------------------------------------- one-iter [62] 100.0% [73] 85300(27.0%) 462(0.1%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [77] 99.5% -------------------------------------------------------------------------- pass [64] 100.0% [74] 28208(8.9%) 932(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [78] 54.9% for-loop [79] 26.0% loop [80] 8.6% make-sequence [160] 4.1% filter [100] 2.3% -------------------------------------------------------------------------- debug7 [71] 100.0% [75] 238(0.1%) 0(0.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [100] 100.0% -------------------------------------------------------------------------- eval-prog [66] 100.0% [76] 222(0.1%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [81] 100.0% -------------------------------------------------------------------------- one-iter [62] 1.1% loop [73] 98.9% [77] 85762(27.1%) 3086(1.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [88] 32.7% match-e [82] 23.5% for-loop [84] 14.1% substitute-e [90] 11.2% mk-enode! [95] 8.0% loop! [105] 4.9% reduce-to-single! [85] 1.9% -------------------------------------------------------------------------- for-loop [74] 100.0% [78] 15480(4.9%) 654(0.2%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [83] 86.8% for-loop [86] 9.0% -------------------------------------------------------------------------- for-loop [74] 100.0% [79] 7332(2.3%) 7332(2.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- for-loop [74] 100.0% [80] 2426(0.8%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [83] 100.0% -------------------------------------------------------------------------- ??? [76] 100.0% [81] 222(0.1%) 222(0.1%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 -------------------------------------------------------------------------- for-loop [93] 13.7% apply-match [77] 14.1% for-loop [72] 72.2% [82] 105098(33.2%) 51068(16.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [87] 40.1% for-loop [93] 7.5% list-cartesian-product [96] 5.0% loop [92] 2.7% custom-in-set [175] 1.4% curry* [102] 0.9% filter [100] 0.3% constant? [162] 0.3% -------------------------------------------------------------------------- loop [80] 15.3% argmin [78] 84.7% [83] 15862(5.0%) 240(0.1%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [89] 98.5% -------------------------------------------------------------------------- apply-match [77] 100.0% [84] 12134(3.8%) 220(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [105] 40.9% merge-egraph-nodes! [88] 22.7% substitute-e [90] 21.0% mk-enode! [95] 13.6% -------------------------------------------------------------------------- apply-match [77] 100.0% [85] 1622(0.5%) 688(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [91] 43.0% constant? [162] 14.5% -------------------------------------------------------------------------- argmin [78] 100.0% [86] 1390(0.4%) 1390(0.4%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- match-e [82] 100.0% [87] 51334(16.2%) 21100(6.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [93] 42.8% list-cartesian-product [96] 12.0% loop [92] 4.0% foldl [110] 1.5% filter [100] 1.3% curry* [102] 0.5% -------------------------------------------------------------------------- for-loop [97] 6.1% merge-egraph-nodes! [88] 6.8% for-loop [84] 8.9% apply-match [77] 78.2% [88] 30768(9.7%) 1424(0.4%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [94] 54.9% for-loop [99] 7.6% merge-egraph-nodes! [88] 6.8% for-loop [97] 6.5% loop! [105] 6.0% for-loop [98] 5.7% enode-merge! [101] 5.7% make-sequence [160] 2.6% -------------------------------------------------------------------------- expression-cost [83] 100.0% [89] 15622(4.9%) 914(0.3%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [117] 94.1% -------------------------------------------------------------------------- substitute-e [90] 12.4% for-loop [84] 18.2% apply-match [77] 69.3% [90] 12180(3.8%) 3420(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [95] 70.0% substitute-e [90] 12.4% constant? [162] 1.9% -------------------------------------------------------------------------- reduce-to-single! [85] 100.0% [91] 698(0.2%) 698(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- append-map [146] 0.3% extract-alt [26] 0.3% parse-loop12 [161] 0.4% make-exacts* [55] 0.5% ??? [103] 0.7% post-process [23] 0.7% map [63] 1.2% map-enodes [65] 1.5% for-loop [87] 2.2% ??? [129] 3.9% loop! [105] 4.6% match-e [82] 4.7% loop [92] 79.0% [92] 68848(21.8%) 5274(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [92] 79.0% loop! [105] 4.0% hash-ref! [117] 3.9% ??? [103] 1.7% foldl [110] 1.5% for-loop [106] 1.4% curried [124] 1.1% ??? [112] 0.4% ->flonum [126] 0.4% simplify [43] 0.3% taylor-alt [159] 0.3% ??? [156] 0.1% real->bigfloat [158] 0.1% -------------------------------------------------------------------------- match-e [82] 33.9% for-loop [87] 66.1% [93] 35340(11.2%) 4798(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [82] 77.2% ??? [107] 10.9% -------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [94] 18762(5.9%) 3414(1.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [104] 73.1% update-en-expr [167] 3.7% make-sequence [160] 2.5% mutable-set [127] 2.4% -------------------------------------------------------------------------- expr->enode [69] 1.4% for-loop [84] 9.5% apply-match [77] 39.8% substitute-e [90] 49.2% [95] 17308(5.5%) 13518(4.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [108] 17.9% new-enode [115] 2.6% mutable-set [127] 1.4% -------------------------------------------------------------------------- list-cartesian-product [96] 19.2% match-e [82] 36.3% for-loop [87] 44.5% [96] 12554(4.0%) 9808(3.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [96] 19.2% for-loop [109] 17.3% -------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [97] 3986(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [88] 97.0% loop! [105] 3.0% -------------------------------------------------------------------------- *simplify-rules* [68] 9.6% merge-egraph-nodes! [88] 90.4% [98] 2508(0.8%) 2308(0.7%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 update-en-expr [167] 8.0% -------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [99] 2456(0.8%) 2002(0.6%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [167] 18.5% -------------------------------------------------------------------------- return/no-unsupplied [75] 10.7% for-loop [87] 28.9% for-loop [74] 28.9% match-e [82] 31.4% [100] 2218(0.7%) 2218(0.7%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [101] 1866(0.6%) 696(0.2%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [113] 37.1% custom-set-intersect! [114] 25.6% -------------------------------------------------------------------------- for-loop [87] 20.8% match-e [82] 79.2% [102] 1156(0.4%) 218(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [111] 81.1% -------------------------------------------------------------------------- map [63] 2.2% for-loop [67] 3.2% loop [92] 94.6% [103] 42650(13.5%) 2234(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [116] 57.8% loop [92] 22.5% real->bigfloat [158] 10.1% ??? [156] 4.4% -------------------------------------------------------------------------- update-leader! [94] 100.0% [104] 13722(4.3%) 916(0.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [118] 93.3% -------------------------------------------------------------------------- for-loop [97] 1.0% merge-egraph-nodes! [88] 15.6% apply-match [77] 24.7% loop [92] 27.5% for-loop [84] 31.2% [105] 12244(3.9%) 1834(0.6%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [119] 36.8% loop [92] 31.1% update-en-expr [167] 11.7% set [123] 10.4% -------------------------------------------------------------------------- map-enodes [65] 4.2% loop [92] 95.8% [106] 10732(3.4%) 2078(0.7%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [120] 36.0% eval-const-expr [121] 31.5% curried [124] 6.5% compose [128] 4.5% ->flonum [126] 2.2% -------------------------------------------------------------------------- for-loop [72] 23.0% for-loop [93] 77.0% [107] 5016(1.6%) 1836(0.6%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [122] 58.7% custom-in-set [175] 4.7% -------------------------------------------------------------------------- mk-enode! [95] 100.0% [108] 3092(1.0%) 3092(1.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- list-cartesian-product [96] 100.0% [109] 2746(0.9%) 2746(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- for-loop [87] 39.0% loop [92] 61.0% [110] 2288(0.7%) 458(0.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [125] 80.0% -------------------------------------------------------------------------- curry* [102] 100.0% [111] 938(0.3%) 938(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- map [63] 37.0% loop [92] 63.0% [112] 736(0.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [117] 67.4% f6 [135] 16.3% taylor-invert [7] 16.3% -------------------------------------------------------------------------- enode-merge! [101] 100.0% [113] 692(0.2%) 240(0.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [119] 65.3% -------------------------------------------------------------------------- enode-merge! [101] 100.0% [114] 478(0.2%) 478(0.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------------- mk-enode! [95] 100.0% [115] 458(0.1%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [127] 52.0% set [123] 48.0% -------------------------------------------------------------------------- ??? [103] 100.0% [116] 24642(7.8%) 1332(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [143] 48.8% ...higher-order.rkt:373:33 [131] 25.6% bf* [132] 19.3% ??? [140] 0.9% -------------------------------------------------------------------------- ??? [9] 0.1% for-loop [20] 0.1% for-loop [17] 0.2% ??? [24] 0.6% for-loop [15] 0.7% first-nonzero-exp [25] 1.2% for-loop [16] 1.3% ??? [4] 1.5% ??? [112] 1.9% loop [14] 2.5% eval-prog [66] 2.5% ??? [134] 5.7% loop [92] 10.4% compile [89] 30.6% ??? [129] 40.2% [117] 20766(6.6%) 12510(4.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [129] 55.0% ??? [134] 5.7% bigfloat-hash [136] 2.4% ??? [5] 2.3% parse-loop12 [161] 2.1% ??? [4] 1.8% simplify [22] 1.7% ??? [6] 1.3% f6 [135] 0.8% ??? [9] 0.2% ??? [8] 0.2% ??? [141] 0.1% -------------------------------------------------------------------------- for-loop [104] 100.0% [118] 12806(4.0%) 220(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [130] 98.3% -------------------------------------------------------------------------- adopt-enode! [113] 8.7% loop! [105] 91.3% [119] 5182(1.6%) 1346(0.4%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [133] 64.8% for-loop [139] 9.2% -------------------------------------------------------------------------- for-loop [106] 100.0% [120] 3862(1.2%) 2002(0.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [137] 36.4% constant? [162] 11.8% -------------------------------------------------------------------------- for-loop [106] 100.0% [121] 3382(1.1%) 1394(0.4%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [138] 39.4% ...higher-order.rkt:373:33 [131] 7.0% bf* [132] 6.4% ??? [143] 5.9% -------------------------------------------------------------------------- ??? [107] 100.0% [122] 2942(0.9%) 2942(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------------- new-enode [115] 7.6% loop! [105] 92.4% [123] 2898(0.9%) 2898(0.9%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- expr->enode [69] 9.8% for-loop [106] 34.1% loop [92] 56.1% [124] 2038(0.6%) 2038(0.6%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- foldl [110] 100.0% [125] 1830(0.6%) 1830(0.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------------- for-loop [106] 19.8% loop [92] 80.2% [126] 1204(0.4%) 202(0.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [165] 63.5% ??? [140] 19.8% -------------------------------------------------------------------------- new-enode [115] 25.5% mk-enode! [95] 25.7% update-leader! [94] 48.8% [127] 934(0.3%) 716(0.2%) mutable-set ...racket/private/set-types.rkt:1000:0 for-loop [142] 23.3% -------------------------------------------------------------------------- for-loop [106] 100.0% [128] 478(0.2%) 478(0.2%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- hash-ref! [117] 100.0% [129] 15832(5.0%) 2198(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [117] 77.4% loop [92] 16.9% -------------------------------------------------------------------------- for-loop [118] 100.0% [130] 12586(4.0%) 478(0.2%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [144] 96.2% -------------------------------------------------------------------------- eval-const-expr [121] 3.6% ??? [116] 96.4% [131] 6552(2.1%) 676(0.2%) ...higher-order.rkt:373:33 (unknown source) ??? [145] 78.1% ??? [156] 11.6% -------------------------------------------------------------------------- eval-const-expr [121] 4.4% ??? [116] 95.6% [132] 4976(1.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [143] 100.0% -------------------------------------------------------------------------- custom-set-union [119] 100.0% [133] 3360(1.1%) 1312(0.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [147] 61.0% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [134] 2670(0.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [117] 100.0% -------------------------------------------------------------------------- ??? [112] 1.6% approximate9 [3] 1.6% append-map [146] 2.7% composed [154] 2.7% parse-loop12 [161] 4.3% simplify-node [32] 4.3% for-loop [10] 9.5% f6 [135] 9.6% map [63] 14.5% hash-ref! [117] 20.6% simplify [22] 28.6% [135] 2510(0.8%) 240(0.1%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [63] 52.3% append-map [146] 9.7% f6 [135] 9.6% gather-multiplicative-terms [152] 9.5% taylor-sqrt [153] 8.8% parse-loop12 [161] 4.3% composed [154] 2.7% taylor-invert [7] 1.6% -------------------------------------------------------------------------- hash-ref! [117] 100.0% [136] 2464(0.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [148] 82.7% sig+exp->bigfloat [150] 17.3% -------------------------------------------------------------------------- setfindf [120] 100.0% [137] 1404(0.4%) 1404(0.4%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- eval-const-expr [121] 100.0% [138] 1334(0.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [149] 100.0% -------------------------------------------------------------------------- custom-set-union [119] 100.0% [139] 476(0.2%) 476(0.2%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------------- ??? [116] 47.1% ->flonum [126] 52.9% [140] 450(0.1%) 450(0.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------------- hash-ref! [117] 100.0% [141] 256(0.1%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 repeat [151] 100.0% -------------------------------------------------------------------------- mutable-set [127] 100.0% [142] 218(0.1%) 218(0.1%) for-loop ...cts/racket/private/set-types.rkt:944:2 -------------------------------------------------------------------------- eval-const-expr [121] 1.2% bf* [132] 28.9% ??? [116] 69.9% [143] 17200(5.4%) 2688(0.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [157] 53.7% ??? [165] 26.5% bfexp [163] 4.2% -------------------------------------------------------------------------- hash-update! [130] 100.0% [144] 12108(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [155] 98.4% make-sequence [160] 1.6% -------------------------------------------------------------------------- ...higher-order.rkt:373:33 [131] 100.0% [145] 5118(1.6%) 1426(0.5%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [156] 72.1% -------------------------------------------------------------------------- simplify-node [32] 10.0% f6 [135] 13.0% for-loop [29] 76.9% [146] 2370(0.7%) 200(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [159] 68.6% parse-loop12 [161] 14.6% loop [92] 8.4% f6 [135] 4.2% -------------------------------------------------------------------------- for-loop [133] 100.0% [147] 2048(0.6%) 2048(0.6%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------- bigfloat-hash [136] 100.0% [148] 2038(0.6%) 2038(0.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- eval-prog [66] 3.4% expression-induct31 [138] 44.0% inductor [149] 52.6% [149] 1784(0.6%) 676(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [149] 52.6% real->bigfloat [158] 15.2% ??? [156] 5.6% constant? [162] 1.0% -------------------------------------------------------------------------- bigfloat-hash [136] 100.0% [150] 426(0.1%) 214(0.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [166] 49.8% -------------------------------------------------------------------------- ??? [141] 100.0% [151] 256(0.1%) 0(0.0%) repeat ...atlock/herbie/src/core/localize.rkt:13:0 for-loop [164] 100.0% -------------------------------------------------------------------------- f6 [135] 100.0% [152] 238(0.1%) 238(0.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 -------------------------------------------------------------------------- f6 [135] 100.0% [153] 222(0.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [22] 100.0% -------------------------------------------------------------------------- f6 [135] 100.0% [154] 200(0.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [135] 100.0% -------------------------------------------------------------------------- ??? [144] 100.0% [155] 11910(3.8%) 10592(3.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [167] 11.1% -------------------------------------------------------------------------- inductor [149] 2.1% ...higher-order.rkt:373:33 [131] 7.9% ??? [103] 19.6% loop [92] 32.0% ??? [145] 38.5% [156] 9600(3.0%) 204(0.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [165] 97.9% -------------------------------------------------------------------------- ??? [143] 100.0% [157] 9242(2.9%) 4518(1.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [166] 51.1% -------------------------------------------------------------------------- inductor [149] 8.1% loop [92] 42.6% ??? [103] 49.3% [158] 8730(2.8%) 2832(0.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [166] 67.6% -------------------------------------------------------------------------- loop [92] 5.6% for-loop [36] 45.8% append-map [146] 48.6% [159] 3566(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [168] 100.0% -------------------------------------------------------------------------- ??? [144] 7.2% update-leader! [94] 17.2% merge-egraph-nodes! [88] 33.7% for-loop [74] 42.0% [160] 2768(0.9%) 2116(0.7%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [170] 23.6% -------------------------------------------------------------------------- f6 [135] 2.1% append-map [146] 6.8% parse-loop12 [161] 13.7% hash-ref! [117] 19.5% map [63] 27.4% simplify [22] 30.5% [161] 2548(0.8%) 656(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-app [169] 32.2% loop [92] 19.5% parse-loop12 [161] 13.7% for-loop [10] 4.7% f6 [135] 2.1% make-multiplication-node [171] 2.1% -------------------------------------------------------------------------- inductor [149] 11.0% reduce-to-single! [85] 13.1% substitute-e [90] 13.1% setfindf [120] 25.3% match-e [82] 37.6% [162] 1804(0.6%) 1804(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------------- ??? [143] 100.0% [163] 718(0.2%) 266(0.1%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [166] 63.0% -------------------------------------------------------------------------- repeat [151] 100.0% [164] 256(0.1%) 0(0.0%) for-loop ...lock/herbie/src/core/localize.rkt:14:2 ??? [172] 100.0% -------------------------------------------------------------------------- ->flonum [126] 5.2% ??? [143] 30.9% ??? [156] 63.9% [165] 14712(4.6%) 6264(2.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [173] 54.2% ??? [176] 3.2% -------------------------------------------------------------------------- sig+exp->bigfloat [150] 1.9% bfexp [163] 4.0% bfsub [157] 41.9% real->bigfloat [158] 52.3% [166] 11286(3.6%) 11286(3.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- for-loop [98] 3.8% for-loop [99] 8.7% update-leader! [94] 13.3% for-loop [155] 25.2% loop! [105] 49.0% [167] 5226(1.7%) 5226(1.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- taylor-alt [159] 100.0% [168] 3566(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [174] 100.0% -------------------------------------------------------------------------- parse-loop12 [161] 100.0% [169] 940(0.3%) 700(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [178] 25.5% -------------------------------------------------------------------------- make-sequence [160] 100.0% [170] 652(0.2%) 214(0.1%) ??? ...acket/collects/racket/private/for.rkt:428:7 custom-in-set [175] 67.2% -------------------------------------------------------------------------- map [63] 47.6% parse-loop12 [161] 52.4% [171] 416(0.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [177]100.0% -------------------------------------------------------------------------- for-loop [164] 100.0% [172] 256(0.1%) 256(0.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------------- ??? [165] 100.0% [173] 7970(2.5%) 3244(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [179] 59.3% -------------------------------------------------------------------------- for-loop [168] 15.5% location-do [174] 84.5% [174] 3566(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [174] 84.5% approximate9 [3] 14.6% simplify [22] 1.0% -------------------------------------------------------------------------- ??? [107] 10.3% ??? [170] 19.0% match-e [82] 70.7% [175] 2306(0.7%) 2306(0.7%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------------- ??? [165] 100.0% [176] 478(0.2%) 194(0.1%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [180] 59.4% -------------------------------------------------------------------------- make-multiplication-node [171] 100.0% [177] 416(0.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [181] 52.4% for-loop [182] 47.6% -------------------------------------------------------------------------- parse-app [169] 100.0% [178] 240(0.1%) 240(0.1%) loop .../collects/racket/private/stxcase.rkt:112:7 -------------------------------------------------------------------------- ??? [173] 100.0% [179] 4726(1.5%) 4726(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------- ??? [176] 100.0% [180] 284(0.1%) 284(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -------------------------------------------------------------------------- make-multiplication-subnode [177]100.0% [181] 218(0.1%) 218(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- make-multiplication-subnode [177]100.0% [182] 198(0.1%) 198(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 --------------------------------------------------------------------------