Profiling results ----------------- Total cpu time observed: 263980ms (out of 267376ms) Number of samples taken: 1159 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 9 of 192 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== ??? [51] 100.0% [1] 243294(92.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% -------------------------------------------------------------------------- ??? [51] 100.0% [2] 157360(59.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [16] 94.5% loop [58] 3.0% get-final-combination [19] 2.3% setup-prog [26] 0.3% -------------------------------------------------------------------------- simplify-alt [35] 0.3% loop [131] 2.5% ??? [51] 97.2% [3] 142242(53.9%) 440(0.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 53.7% for-loop [18] 39.3% iterate-egraph!5 [30] 6.6% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [4] 8030(3.0%) 1472(0.6%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [131] 56.2% hash-ref! [137] 34.6% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [5] 3412(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [6] 3190(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [21] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [7] 1682(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [23] 55.3% hash-ref! [137] 44.7% -------------------------------------------------------------------------- map [90] 42.2% f37 [145] 57.8% [8] 1426(0.5%) 400(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [25] 57.8% debug-print [119] 14.2% -------------------------------------------------------------------------- hash-ref! [137] 16.6% map [90] 31.0% f37 [145] 52.4% [9] 1302(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [22] 52.4% simplify [106] 32.1% compose [162] 15.5% -------------------------------------------------------------------------- f37 [145] 100.0% [10] 1246(0.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [22] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [11] 842(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [24] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [12] 440(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [27] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [13] 420(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [28] 100.0% -------------------------------------------------------------------------- f37 [145] 100.0% [14] 202(0.1%) 0(0.0%) taylor-log ...ock/herbie/src/core/taylor.rkt:476:0 simplify [106] 100.0% -------------------------------------------------------------------------- profile-thunk14 [1] 99.9% [15] 243514(92.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [51] 100.0% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 148640(56.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [29] 100.0% -------------------------------------------------------------------------- simplify [3] 100.0% [17] 76454(29.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [30] 94.4% loop [31] 5.6% -------------------------------------------------------------------------- simplify [3] 100.0% [18] 55940(21.2%) 290(0.1%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [30] 93.6% loop [31] 5.9% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [19] 3554(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [32] 100.0% -------------------------------------------------------------------------- ??? [5] 100.0% [20] 3412(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [21] 3190(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [137] 81.4% ??? [33] 18.6% -------------------------------------------------------------------------- taylor-invert [9] 35.4% taylor-quotient [10] 64.6% [22] 1928(0.7%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [7] 100.0% [23] 1040(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [11] 100.0% [24] 842(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [34] 100.0% -------------------------------------------------------------------------- taylor [8] 100.0% [25] 824(0.3%) 200(0.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [36] 48.8% ??? [49] 26.9% -------------------------------------------------------------------------- run-improve58 [2] 100.0% [26] 472(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [35] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [27] 440(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [137] 100.0% -------------------------------------------------------------------------- ??? [13] 100.0% [28] 420(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [130] 100.0% -------------------------------------------------------------------------- for-loop [16] 100.0% [29] 148640(56.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [37] 92.4% gen-series! [39] 6.2% finalize-iter! [42] 1.2% -------------------------------------------------------------------------- simplify [3] 7.0% for-loop [18] 39.1% simplify-expr [17] 53.9% [30] 133934(50.7%) 246(0.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [38] 96.3% map-enodes [41] 3.3% debug-print [119] 0.1% *simplify-rules* [43] 0.1% -------------------------------------------------------------------------- for-loop [18] 43.4% simplify-expr [17] 56.6% [31] 7578(2.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [40] 100.0% -------------------------------------------------------------------------- get-final-combination [19] 100.0% [32] 3554(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [131] 100.0% -------------------------------------------------------------------------- for-loop [21] 100.0% [33] 2306(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [137] 100.0% -------------------------------------------------------------------------- for-loop [24] 100.0% [34] 842(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [137] 100.0% -------------------------------------------------------------------------- setup-prog [26] 100.0% [35] 472(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% -------------------------------------------------------------------------- debug7 [25] 100.0% [36] 402(0.2%) 402(0.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------------- run-iter! [29] 100.0% [37] 137404(52.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [44] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [38] 128932(48.8%) 4090(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [45] 48.6% for-loop [46] 47.2% apply-match [52] 0.8% loop [88] 0.2% -------------------------------------------------------------------------- run-iter! [29] 100.0% [39] 9224(3.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [47] 100.0% -------------------------------------------------------------------------- loop [31] 100.0% [40] 7578(2.9%) 216(0.1%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [48] 97.1% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [41] 4356(1.7%) 204(0.1%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [131] 90.7% for-loop [138] 4.6% -------------------------------------------------------------------------- run-iter! [29] 100.0% [42] 1790(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [49] 100.0% -------------------------------------------------------------------------- iterate-egraph!5 [30] 100.0% [43] 200(0.1%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [50] 100.0% -------------------------------------------------------------------------- simplify! [37] 99.4% [44] 138216(52.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [51] 100.0% -------------------------------------------------------------------------- one-iter [38] 100.0% [45] 62672(23.7%) 222(0.1%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [52] 99.6% -------------------------------------------------------------------------- for-loop [46] 49.7% one-iter [38] 50.3% [46] 60888(23.1%) 12600(4.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [46] 49.7% match-e [59] 39.5% ??? [95] 0.2% -------------------------------------------------------------------------- gen-series! [39] 100.0% [47] 9224(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [53] 100.0% -------------------------------------------------------------------------- pass [40] 100.0% [48] 7362(2.8%) 200(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [54] 47.7% for-loop [55] 35.1% loop [57] 8.4% filter [73] 3.0% make-sequence [150] 3.0% -------------------------------------------------------------------------- debug7 [25] 11.0% finalize-iter! [42] 89.0% [49] 2012(0.8%) 222(0.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 89.0% -------------------------------------------------------------------------- *simplify-rules* [43] 100.0% [50] 200(0.1%) 200(0.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 -------------------------------------------------------------------------- for-loop [44] 18.8% run [15] 38.8% [51] 261324(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.7% run-improve58 [2] 22.4% loop [58] 20.1% simplify [3] 18.8% -------------------------------------------------------------------------- one-iter [38] 1.7% loop [45] 98.3% [52] 63532(24.1%) 2350(0.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [68] 29.9% match-e [59] 24.9% loop! [91] 15.1% for-loop [61] 13.0% substitute-e [70] 8.1% mk-enode! [82] 3.7% reduce-to-single! [64] 1.0% update-leader! [79] 0.7% -------------------------------------------------------------------------- for-loop [47] 100.0% [53] 9224(3.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [60] 100.0% -------------------------------------------------------------------------- for-loop [48] 100.0% [54] 3514(1.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [62] 100.0% -------------------------------------------------------------------------- for-loop [48] 100.0% [55] 2584(1.0%) 2584(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------------- ??? [49] 100.0% [56] 1790(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [63] 100.0% -------------------------------------------------------------------------- for-loop [48] 100.0% [57] 622(0.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [62] 64.6% for-loop [65] 35.4% -------------------------------------------------------------------------- run-improve58 [2] 4.4% ??? [51] 95.6% [58] 107846(40.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [66] 52.5% make-exacts* [76] 33.4% loop [77] 13.9% for-loop [74] 0.2% -------------------------------------------------------------------------- for-loop [78] 17.2% apply-match [52] 17.7% for-loop [46] 65.1% [59] 63882(24.2%) 27252(10.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [67] 49.1% for-loop [78] 6.7% loop [131] 3.9% list-cartesian-product [81] 3.0% curry* [84] 1.3% filter [73] 0.3% constant? [118] 0.2% -------------------------------------------------------------------------- taylor-alt [53] 100.0% [60] 9224(3.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [69] 100.0% -------------------------------------------------------------------------- apply-match [52] 100.0% [61] 8242(3.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [91] 54.4% merge-egraph-nodes! [68] 18.3% mk-enode! [82] 14.7% substitute-e [70] 12.6% -------------------------------------------------------------------------- loop [57] 10.3% argmin [54] 89.7% [62] 3916(1.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [71] 100.0% -------------------------------------------------------------------------- for-loop [56] 100.0% [63] 1790(0.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [72] 100.0% -------------------------------------------------------------------------- apply-match [52] 100.0% [64] 606(0.2%) 404(0.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [75] 33.3% -------------------------------------------------------------------------- loop [57] 100.0% [65] 220(0.1%) 220(0.1%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 -------------------------------------------------------------------------- loop [58] 100.0% [66] 56618(21.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [77] 47.2% make-exacts* [76] 44.2% eval-prog [93] 8.6% -------------------------------------------------------------------------- match-e [59] 100.0% [67] 36862(14.0%) 12712(4.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [78] 50.4% list-cartesian-product [81] 12.7% loop [131] 6.2% curry* [84] 1.4% curried [173] 1.1% -------------------------------------------------------------------------- for-loop [86] 1.0% merge-egraph-nodes! [68] 2.1% for-loop [61] 7.4% apply-match [52] 89.5% [68] 20512(7.8%) 808(0.3%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [79] 58.1% loop! [91] 17.8% for-loop [83] 8.5% for-loop [86] 5.5% enode-merge! [87] 2.9% merge-egraph-nodes! [68] 2.1% make-sequence [150] 1.1% -------------------------------------------------------------------------- location-do [69] 38.9% for-loop [60] 61.1% [69] 9224(3.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [80] 61.1% location-do [69] 38.9% -------------------------------------------------------------------------- substitute-e [70] 9.7% for-loop [61] 16.7% apply-match [52] 73.6% [70] 6208(2.4%) 1926(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [82] 65.8% substitute-e [70] 9.7% constant? [118] 3.2% -------------------------------------------------------------------------- expression-cost [62] 100.0% [71] 3916(1.5%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [137] 100.0% -------------------------------------------------------------------------- atab-add-altn [63] 100.0% [72] 1790(0.7%) 156(0.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [85] 79.4% loop [88] 11.8% -------------------------------------------------------------------------- match-e [59] 49.8% for-loop [48] 50.2% [73] 442(0.2%) 442(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- loop [58] 100.0% [74] 220(0.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [89] 100.0% -------------------------------------------------------------------------- reduce-to-single! [64] 100.0% [75] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 -------------------------------------------------------------------------- loop [66] 41.0% loop [58] 59.0% [76] 61056(23.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [90] 49.9% loop [131] 45.1% eval-prog [93] 5.0% -------------------------------------------------------------------------- loop [58] 35.9% loop [66] 64.1% [77] 41708(15.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [90] 100.0% -------------------------------------------------------------------------- match-e [59] 22.7% for-loop [67] 77.3% [78] 28254(10.7%) 3810(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [59] 75.9% ??? [95] 11.4% -------------------------------------------------------------------------- apply-match [52] 3.5% merge-egraph-nodes! [68] 96.5% [79] 12792(4.8%) 1670(0.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [92] 73.1% custom-set-union! [99] 8.4% make-sequence [150] 5.5% -------------------------------------------------------------------------- location-do [69] 100.0% [80] 9224(3.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [94] 91.3% f37 [145] 6.5% taylor-sqrt [103] 2.2% -------------------------------------------------------------------------- match-e [59] 23.2% list-cartesian-product [81] 30.4% for-loop [67] 46.4% [81] 7754(2.9%) 6688(2.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [81] 30.4% for-loop [100] 9.5% -------------------------------------------------------------------------- for-loop [61] 15.9% apply-match [52] 30.5% substitute-e [70] 53.6% [82] 7616(2.9%) 3772(1.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [96] 24.2% new-enode [97] 20.5% mutable-set [110] 5.8% -------------------------------------------------------------------------- merge-egraph-nodes! [68] 100.0% [83] 1750(0.7%) 1084(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [132] 38.1% -------------------------------------------------------------------------- for-loop [67] 37.0% match-e [59] 63.0% [84] 1686(0.6%) 200(0.1%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [98] 88.1% -------------------------------------------------------------------------- best-and-tied-at-points [72] 100.0% [85] 1422(0.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [93] 65.4% for-loop [101] 34.6% -------------------------------------------------------------------------- merge-egraph-nodes! [68] 100.0% [86] 1228(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [91] 75.3% merge-egraph-nodes! [68] 24.7% -------------------------------------------------------------------------- merge-egraph-nodes! [68] 100.0% [87] 600(0.2%) 200(0.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [102] 66.7% -------------------------------------------------------------------------- one-iter [38] 48.5% best-and-tied-at-points [72] 51.5% [88] 412(0.2%) 412(0.2%) loop ...ket/collects/racket/private/list.rkt:264:4 -------------------------------------------------------------------------- for-loop [74] 100.0% [89] 220(0.1%) 220(0.1%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 -------------------------------------------------------------------------- gather-multiplicative-terms [166] 0.1% f37 [145] 8.9% make-exacts* [76] 38.4% loop [77] 52.6% [90] 79320(30.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [131] 88.8% f37 [145] 6.7% ??? [136] 2.2% simplify-node [117] 1.2% parse-loop12 [130] 0.4% ??? [109] 0.4% taylor-invert [9] 0.2% taylor [8] 0.1% gather-multiplicative-terms [166] 0.1% ??? [113] 0.0% -------------------------------------------------------------------------- for-loop [86] 3.2% merge-egraph-nodes! [68] 14.4% for-loop [61] 19.1% loop [131] 28.9% apply-match [52] 34.3% [91] 18868(7.1%) 2750(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [105] 37.5% loop [131] 36.4% set [107] 14.0% update-en-expr [132] 3.9% -------------------------------------------------------------------------- update-leader! [79] 100.0% [92] 9346(3.5%) 1002(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [104] 89.3% -------------------------------------------------------------------------- errors [85] 10.5% make-exacts* [76] 34.5% loop [66] 55.0% [93] 8842(3.3%) 1286(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [137] 61.0% inductor [172] 23.5% ??? [114] 0.9% -------------------------------------------------------------------------- approximate9 [80] 100.0% [94] 8418(3.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [137] 100.0% -------------------------------------------------------------------------- for-loop [46] 5.8% for-loop [78] 94.2% [95] 3424(1.3%) 680(0.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [108] 80.1% -------------------------------------------------------------------------- mk-enode! [82] 100.0% [96] 1842(0.7%) 1842(0.7%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------------- mk-enode! [82] 100.0% [97] 1562(0.6%) 200(0.1%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [107] 58.8% check-valid-enode5 [112] 15.5% mutable-set [110] 12.9% -------------------------------------------------------------------------- curry* [84] 100.0% [98] 1486(0.6%) 1486(0.6%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------------- update-leader! [79] 100.0% [99] 1070(0.4%) 648(0.2%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [111] 39.4% -------------------------------------------------------------------------- list-cartesian-product [81] 100.0% [100] 1066(0.4%) 1066(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 -------------------------------------------------------------------------- errors [85] 100.0% [101] 492(0.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [136] 100.0% -------------------------------------------------------------------------- enode-merge! [87] 100.0% [102] 400(0.2%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [105] 100.0% -------------------------------------------------------------------------- approximate9 [80] 100.0% [103] 202(0.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [106] 100.0% -------------------------------------------------------------------------- for-loop [92] 100.0% [104] 8344(3.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [115] 100.0% -------------------------------------------------------------------------- adopt-enode! [102] 4.9% loop! [91] 95.1% [105] 8102(3.1%) 2116(0.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [116] 73.9% -------------------------------------------------------------------------- taylor-log [14] 2.7% taylor-sqrt [103] 2.7% taylor-invert [9] 5.7% hash-ref! [137] 88.9% [106] 7396(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [145] 72.1% parse-loop12 [130] 13.8% debug-print [119] 5.9% simplify-node [117] 5.4% make-multiplication-node [141] 2.7% -------------------------------------------------------------------------- new-enode [97] 14.5% loop! [91] 85.5% [107] 6336(2.4%) 6336(2.4%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------------- ??? [95] 100.0% [108] 2744(1.0%) 2302(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [118] 16.1% -------------------------------------------------------------------------- loop [131] 15.1% map [90] 84.9% [109] 1468(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f37 [145] 84.9% hash-ref! [137] 15.1% -------------------------------------------------------------------------- new-enode [97] 31.5% mk-enode! 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[123] 100.0% [129] 7920(3.0%) 6038(2.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [132] 23.8% -------------------------------------------------------------------------- hash-ref! [137] 5.6% for-loop [28] 8.0% parse-loop12 [130] 13.5% map [90] 16.9% simplify [106] 23.1% append-map [125] 33.0% [130] 3998(1.5%) 1640(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 f37 [145] 26.7% parse-loop12 [130] 13.5% for-loop [134] 8.0% for-loop [133] 5.6% loop [131] 5.6% parse-app [135] 5.5% make-multiplication-node [141] 2.5% -------------------------------------------------------------------------- parse-loop12 [130] 0.1% map-enodes [41] 0.5% make-exacts* [76] 0.7% extract-alt [32] 1.5% for-loop [67] 1.5% map [90] 1.6% match-e [59] 1.9% ??? [4] 3.2% loop! [91] 4.1% loop [131] 84.9% [131] 129236(49.0%) 5418(2.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [131] 84.9% loop! [91] 3.4% hash-ref! [137] 3.2% ??? [136] 2.4% simplify [3] 1.5% foldl [140] 0.6% for-loop [138] 0.5% curried [173] 0.3% ??? [109] 0.1% set-precompute! [142] 0.0% ??? [170] 0.0% ->flonum [139] 0.0% -------------------------------------------------------------------------- for-loop [83] 16.5% loop! [91] 36.8% for-loop [129] 46.7% [132] 4030(1.5%) 4030(1.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------------- parse-loop12 [130] 100.0% [133] 448(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [141] 50.9% f37 [145] 49.1% -------------------------------------------------------------------------- parse-loop12 [130] 100.0% [134] 420(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [137] 100.0% -------------------------------------------------------------------------- parse-loop12 [130] 100.0% [135] 220(0.1%) 220(0.1%) parse-app .../collects/racket/private/kw.rkt:903:2 -------------------------------------------------------------------------- for-loop [101] 0.5% map [90] 1.8% loop [131] 97.7% [136] 99342(37.6%) 6670(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [143] 70.1% real->bigfloat [144] 16.6% ??? [175] 5.5% -------------------------------------------------------------------------- for-loop [134] 0.1% for-loop [34] 0.4% ??? [7] 0.5% for-loop [27] 0.6% for-loop [23] 0.6% ??? [109] 0.9% ??? [33] 1.3% first-nonzero-exp [22] 2.0% ??? [148] 3.9% for-loop [20] 4.1% for-loop [21] 8.2% loop [94] 9.7% compile [71] 10.6% ??? [4] 11.3% eval-prog [93] 13.8% ??? [146] 15.3% loop [131] 16.2% [137] 17954(6.8%) 2644(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 31.6% ??? [146] 15.3% bigfloat-hash [147] 13.8% ??? [6] 9.4% simplify [106] 5.9% f37 [145] 4.8% ??? [5] 4.1% ??? [148] 3.9% parse-loop12 [130] 1.2% ??? [7] 1.1% taylor-invert [9] 0.6% ??? [12] 0.6% ??? [11] 0.4% ??? [13] 0.1% -------------------------------------------------------------------------- map-enodes [41] 5.4% loop [131] 94.6% [138] 3750(1.4%) 802(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [149] 45.4% compose [162] 22.5% eval-const-expr [155] 10.7% -------------------------------------------------------------------------- loop [131] 100.0% [139] 2070(0.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [179] 40.5% ??? [151] 37.5% ??? [153] 22.0% -------------------------------------------------------------------------- loop [131] 100.0% [140] 1040(0.4%) 616(0.2%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [154] 40.8% -------------------------------------------------------------------------- simplify [106] 31.7% parse-loop12 [130] 32.1% for-loop [133] 36.2% [141] 630(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [152]100.0% -------------------------------------------------------------------------- loop [131] 100.0% [142] 402(0.2%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [150] 100.0% -------------------------------------------------------------------------- ??? [136] 100.0% [143] 69620(26.4%) 3212(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [170] 44.5% ...higher-order.rkt:373:33 [156] 26.1% bf* [157] 16.4% ...higher-order.rkt:369:33 [158] 6.4% bf> [161] 1.9% -------------------------------------------------------------------------- ??? [136] 100.0% [144] 16512(6.3%) 11300(4.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [180] 31.6% -------------------------------------------------------------------------- for-loop [133] 0.9% approximate9 [80] 1.5% ??? [109] 2.3% simplify-node [117] 2.9% parse-loop12 [130] 4.3% hash-ref! [137] 4.3% append-map [125] 4.4% f37 [145] 15.1% simplify [106] 17.8% map [90] 45.4% [145] 8168(3.1%) 1766(0.7%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [90] 59.4% f37 [145] 15.1% append-map [125] 8.5% combine-mterms [163] 2.5% taylor-quotient [10] 1.9% taylor [8] 1.5% gather-multiplicative-terms [166] 1.2% taylor-invert [9] 0.6% taylor-log [14] 0.3% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [146] 7996(3.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [137] 100.0% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [147] 5398(2.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [159] 58.1% sig+exp->bigfloat [160] 41.9% -------------------------------------------------------------------------- hash-ref! [137] 100.0% [148] 4646(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [137] 100.0% -------------------------------------------------------------------------- for-loop [138] 100.0% [149] 1704(0.6%) 864(0.3%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [164] 49.3% -------------------------------------------------------------------------- for-loop [48] 14.2% merge-egraph-nodes! [68] 14.3% set-precompute! [142] 25.9% update-leader! [79] 45.5% [150] 1550(0.6%) 1106(0.4%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? 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[171] 35.7% -------------------------------------------------------------------------- bigfloat-hash [147] 100.0% [159] 3138(1.2%) 3138(1.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 -------------------------------------------------------------------------- bigfloat-hash [147] 100.0% [160] 2260(0.9%) 2260(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 -------------------------------------------------------------------------- ??? [143] 100.0% [161] 1294(0.5%) 0(0.0%) bf> ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [179] 100.0% -------------------------------------------------------------------------- taylor-invert [9] 15.9% make-multiplication-subnode [152] 17.9% for-loop [138] 66.2% [162] 1272(0.5%) 1272(0.5%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- f37 [145] 100.0% [163] 846(0.3%) 402(0.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [174] 52.5% -------------------------------------------------------------------------- setfindf [149] 100.0% [164] 840(0.3%) 840(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 -------------------------------------------------------------------------- make-sequence [150] 100.0% [165] 444(0.2%) 444(0.2%) ??? ...acket/collects/racket/private/for.rkt:428:7 -------------------------------------------------------------------------- map [90] 31.7% f37 [145] 68.3% [166] 420(0.2%) 200(0.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 curried [173] 52.4% map [90] 31.7% -------------------------------------------------------------------------- eval-const-expr [155] 100.0% [167] 402(0.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [172] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [152]100.0% [168] 202(0.1%) 202(0.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 -------------------------------------------------------------------------- make-multiplication-subnode [152]100.0% [169] 200(0.1%) 200(0.1%) group-by68 ...acket/collects/racket/list.rkt:749:0 -------------------------------------------------------------------------- loop [131] 0.5% bf* [157] 26.8% ??? [143] 72.7% [170] 42670(16.2%) 4420(1.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [176] 61.9% ??? [179] 22.9% bfsqr [177] 4.9% -------------------------------------------------------------------------- ...higher-order.rkt:369:33 [158] 9.9% ...higher-order.rkt:373:33 [156] 90.1% [171] 16238(6.2%) 480(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [175] 97.0% -------------------------------------------------------------------------- expression-induct31 [167] 8.1% eval-prog [93] 27.9% inductor [172] 64.0% [172] 2480(0.9%) 778(0.3%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [172] 64.0% integer->bigfloat [178] 17.5% ??? [175] 8.1% -------------------------------------------------------------------------- gather-multiplicative-terms [166] 13.1% loop [131] 39.5% for-loop [67] 47.4% [173] 1680(0.6%) 1680(0.6%) curried ...cket/collects/racket/function.rkt:71:18 -------------------------------------------------------------------------- combine-mterms [163] 100.0% [174] 444(0.2%) 444(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 -------------------------------------------------------------------------- inductor [172] 1.5% ...higher-order.rkt:369:33 [158] 10.4% ...higher-order.rkt:373:33 [156] 11.0% ??? [136] 20.0% ??? [171] 57.1% [175] 27596(10.5%) 644(0.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [179] 97.7% -------------------------------------------------------------------------- ??? [170] 100.0% [176] 26392(10.0%) 16312(6.2%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [180] 38.2% -------------------------------------------------------------------------- ??? [170] 100.0% [177] 2098(0.8%) 1654(0.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [180] 21.2% -------------------------------------------------------------------------- inductor [172] 100.0% [178] 1300(0.5%) 1300(0.5%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 -------------------------------------------------------------------------- ->flonum [139] 2.2% bf> [161] 3.3% ??? [170] 25.1% ??? [175] 69.4% [179] 38844(14.7%) 18274(6.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [181] 49.4% ??? [182] 3.5% -------------------------------------------------------------------------- bfsqr [177] 2.7% ??? [153] 2.8% real->bigfloat [144] 32.2% bfmul [176] 62.3% [180] 16192(6.1%) 16192(6.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------------- ??? [179] 100.0% [181] 19196(7.3%) 7542(2.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [183] 60.7% -------------------------------------------------------------------------- ??? [179] 100.0% [182] 1374(0.5%) 1374(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 -------------------------------------------------------------------------- ??? [181] 100.0% [183] 11654(4.4%) 11654(4.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------------