Profiling results ----------------- Total cpu time observed: 21216ms (out of 21644ms) Number of samples taken: 94 (once every 226ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 109 hidden) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [22] 100.0% [1] 19976(94.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ------------------------------------------------------------------- ??? [22] 100.0% [2] 13590(64.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 97.0% setup-prog [7] 1.6% get-final-combination [8] 1.5% ------------------------------------------------------------------- map [56] 100.0% [3] 220(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [6] 100.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 19976(94.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 13178(62.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ------------------------------------------------------------------- taylor-invert [3] 100.0% [6] 220(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [10] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 212(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 200(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ------------------------------------------------------------------- for-loop [5] 100.0% [9] 13178(62.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 91.0% finalize-iter! [15] 5.9% gen-series! [16] 3.0% ------------------------------------------------------------------- first-nonzero-exp [6] 100.0% [10] 220(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [54] 100.0% ------------------------------------------------------------------- setup-prog [7] 100.0% [11] 212(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [13] 100.0% ------------------------------------------------------------------- get-final-combination [8] 100.0% [12] 200(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% ------------------------------------------------------------------- loop [62] 1.6% simplify-alt [11] 1.7% ??? [22] 96.7% [13] 12410(58.5%) 222(1.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [18] 59.5% for-loop [19] 22.9% iterate-egraph!5 [23] 15.9% ------------------------------------------------------------------- run-iter! [9] 100.0% [14] 11998(56.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [17] 100.0% ------------------------------------------------------------------- run-iter! [9] 100.0% [15] 782(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% ------------------------------------------------------------------- run-iter! [9] 100.0% [16] 398(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% ------------------------------------------------------------------- simplify! [14] 100.0% [17] 11998(56.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% ------------------------------------------------------------------- simplify [13] 100.0% [18] 7378(34.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 94.7% loop [24] 5.3% ------------------------------------------------------------------- simplify [13] 100.0% [19] 2840(13.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 85.8% loop [24] 14.2% ------------------------------------------------------------------- finalize-iter! [15] 100.0% [20] 782(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 100.0% ------------------------------------------------------------------- gen-series! [16] 100.0% [21] 398(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ------------------------------------------------------------------- for-loop [17] 19.9% run [4] 38.9% [22] 20970(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.9% run-improve58 [2] 23.7% simplify [13] 19.9% loop [28] 17.6% ------------------------------------------------------------------- simplify [13] 17.3% for-loop [19] 21.4% simplify-expr [18] 61.3% [23] 11394(53.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 98.1% ------------------------------------------------------------------- simplify-expr [18] 49.4% for-loop [19] 50.6% [24] 794(3.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [29] 100.0% ------------------------------------------------------------------- ??? [20] 100.0% [25] 782(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ------------------------------------------------------------------- for-loop [21] 100.0% [26] 398(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [31] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [27] 11172(52.7%) 414(2.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [32] 53.2% for-loop [33] 41.1% loop [38] 2.0% ------------------------------------------------------------------- ??? [22] 100.0% [28] 7380(34.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [42] 60.5% loop [34] 39.5% ------------------------------------------------------------------- loop [24] 100.0% [29] 794(3.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [36] 73.0% for-loop [39] 27.0% ------------------------------------------------------------------- for-loop [25] 100.0% [30] 782(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [35] 76.0% override-at-pnts [40] 24.0% ------------------------------------------------------------------- taylor-alt [26] 100.0% [31] 398(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [37] 100.0% ------------------------------------------------------------------- one-iter [27] 100.0% [32] 5948(28.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [41] 100.0% ------------------------------------------------------------------- for-loop [33] 50.0% one-iter [27] 50.0% [33] 4592(21.6%) 424(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [50] 45.4% ------------------------------------------------------------------- loop [28] 100.0% [34] 2918(13.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [43] 54.6% make-exacts* [42] 37.0% eval-prog [47] 8.4% ------------------------------------------------------------------- atab-add-altn [30] 100.0% [35] 594(2.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [44] 67.3% for-loop [48] 32.7% ------------------------------------------------------------------- pass [29] 100.0% [36] 580(2.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [45] 69.3% for-loop [49] 30.7% ------------------------------------------------------------------- location-do [37] 27.6% for-loop [31] 72.4% [37] 398(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [46] 72.4% location-do [37] 27.6% ------------------------------------------------------------------- one-iter [27] 100.0% [38] 218(1.0%) 218(1.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------- pass [29] 100.0% [39] 214(1.0%) 214(1.0%) for-loop ...ock/herbie/src/core/simplify.rkt:176:2 ------------------------------------------------------------------- atab-add-altn [30] 100.0% [40] 188(0.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [44] 100.0% ------------------------------------------------------------------- loop [32] 100.0% [41] 5948(28.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [58] 39.1% for-loop [51] 23.1% match-e [50] 16.6% loop! [76] 10.5% substitute-e [53] 7.1% mk-enode! [59] 3.6% ------------------------------------------------------------------- loop [34] 19.5% loop [28] 80.5% [42] 5542(26.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 50.2% loop [62] 49.8% ------------------------------------------------------------------- loop [34] 100.0% [43] 1594(7.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ------------------------------------------------------------------- override-at-pnts [40] 32.0% best-and-tied-at-points [35] 68.0% [44] 588(2.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [52] 100.0% ------------------------------------------------------------------- for-loop [36] 100.0% [45] 402(1.9%) 200(0.9%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [55] 50.2% ------------------------------------------------------------------- location-do [37] 100.0% [46] 398(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [54] 100.0% ------------------------------------------------------------------- loop [34] 100.0% [47] 244(1.2%) 244(1.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------- best-and-tied-at-points [35]100.0% [48] 194(0.9%) 194(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------- for-loop [36] 100.0% [49] 178(0.8%) 178(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------- for-loop [64] 13.6% apply-match [41] 15.2% for-loop [33] 71.2% [50] 5154(24.3%) 1398(6.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [57] 52.6% for-loop [64] 10.8% list-cartesian-product [65] 8.0% curry* [66] 4.0% ------------------------------------------------------------------- apply-match [41] 100.0% [51] 1374(6.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [58] 43.8% loop! [76] 29.0% mk-enode! [59] 27.2% ------------------------------------------------------------------- errors [44] 100.0% [52] 588(2.8%) 388(1.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [61] 34.0% ------------------------------------------------------------------- substitute-e [53] 28.3% apply-match [41] 71.7% [53] 424(2.0%) 240(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [59] 43.4% substitute-e [53] 28.3% ------------------------------------------------------------------- simplify [10] 13.8% map [56] 27.6% approximate9 [46] 58.5% [54] 398(1.9%) 220(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [56] 86.2% ------------------------------------------------------------------- loop [45] 100.0% [55] 202(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [60] 100.0% ------------------------------------------------------------------- f37 [54] 8.3% loop [43] 33.4% make-exacts* [42] 58.3% [56] 4772(22.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 91.7% taylor-add [74] 3.7% f37 [54] 3.1% taylor-invert [3] 1.5% ------------------------------------------------------------------- match-e [50] 100.0% [57] 3128(14.7%) 1586(7.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [64] 34.4% list-cartesian-product [65] 6.4% curry* [66] 6.3% foldl [73] 5.7% loop [72] 2.8% ------------------------------------------------------------------- merge-egraph-nodes! [58] 3.0% for-loop [51] 20.6% apply-match [41] 76.4% [58] 2926(13.8%) 200(0.9%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [63] 63.3% for-loop [67] 13.6% enode-merge! [69] 6.9% loop! [76] 6.4% merge-egraph-nodes! [58] 3.0% ------------------------------------------------------------------- substitute-e [53] 23.8% apply-match [41] 27.9% for-loop [51] 48.3% [59] 774(3.6%) 380(1.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [68] 27.9% hash-has-key? [71] 23.0% ------------------------------------------------------------------- expression-cost [55] 100.0% [60] 202(1.0%) 202(1.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 ------------------------------------------------------------------- for-loop [52] 100.0% [61] 200(0.9%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [70] 100.0% ------------------------------------------------------------------- make-exacts* [42] 0.0% ??? [75] 0.1% map [56] 0.2% extract-alt [12] 1.2% loop! [76] 1.5% loop [62] 96.9% [62] 8428(39.7%) 536(2.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 96.9% loop! [76] 1.5% simplify [13] 1.2% ??? [75] 0.2% for-loop [80] 0.1% real->bigfloat [88] 0.0% ??? [78] 0.0% ------------------------------------------------------------------- merge-egraph-nodes! [58] 100.0% [63] 1940(9.1%) 600(2.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [77] 50.7% custom-set-union! [85] 9.3% hash-ref! [87] 9.1% ------------------------------------------------------------------- match-e [50] 34.9% for-loop [57] 65.1% [64] 1940(9.1%) 400(1.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [50] 69.1% ??? [83] 10.3% ------------------------------------------------------------------- for-loop [57] 16.3% list-cartesian-product [65] 32.7% match-e [50] 51.0% [65] 612(2.9%) 212(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [65] 32.7% for-loop [79] 32.7% ------------------------------------------------------------------- for-loop [57] 48.8% match-e [50] 51.2% [66] 402(1.9%) 206(1.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [84] 48.8% ------------------------------------------------------------------- merge-egraph-nodes! [58] 100.0% [67] 398(1.9%) 398(1.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------- mk-enode! [59] 100.0% [68] 216(1.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [81] 100.0% ------------------------------------------------------------------- merge-egraph-nodes! [58] 100.0% [69] 202(1.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [82] 100.0% ------------------------------------------------------------------- ulp-difference [61] 100.0% [70] 200(0.9%) 200(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------- mk-enode! [59] 100.0% [71] 178(0.8%) 178(0.8%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------- for-loop [57] 100.0% [72] 178(0.8%) 178(0.8%) loop ...e/racket/collects/racket/function.rkt:53:6 ------------------------------------------------------------------- for-loop [57] 100.0% [73] 178(0.8%) 178(0.8%) foldl ...et/collects/racket/private/list.rkt:229:4 ------------------------------------------------------------------- map [56] 100.0% [74] 178(0.8%) 0(0.0%) taylor-add ...ock/herbie/src/core/taylor.rkt:278:0 align-series [86] 100.0% ------------------------------------------------------------------- loop [62] 100.0% [75] 7382(34.8%) 500(2.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [88] 39.6% loop [62] 35.5% ??? [89] 18.1% ------------------------------------------------------------------- merge-egraph-nodes! [58] 15.4% loop [62] 25.8% apply-match [41] 25.8% for-loop [51] 32.9% [76] 1208(5.7%) 200(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [91] 48.3% loop [62] 25.8% set [92] 17.5% ------------------------------------------------------------------- update-leader! [63] 100.0% [77] 984(4.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [90] 100.0% ------------------------------------------------------------------- loop [62] 100.0% [78] 774(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ------------------------------------------------------------------- list-cartesian-product [65] 100.0% [79] 400(1.9%) 400(1.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------- loop [62] 100.0% [80] 222(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [93] 100.0% ------------------------------------------------------------------- new-enode [68] 100.0% [81] 216(1.0%) 216(1.0%) mutable-set ...racket/private/set-types.rkt:1000:0 ------------------------------------------------------------------- enode-merge! [69] 100.0% [82] 202(1.0%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [91] 100.0% ------------------------------------------------------------------- for-loop [64] 100.0% [83] 200(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [94] 100.0% ------------------------------------------------------------------- curry* [66] 100.0% [84] 196(0.9%) 196(0.9%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------- update-leader! [63] 100.0% [85] 180(0.8%) 180(0.8%) custom-set-union! ...t/private/set-types.rkt:246:0 ------------------------------------------------------------------- taylor-add [74] 100.0% [86] 178(0.8%) 178(0.8%) align-series ...k/herbie/src/core/taylor.rkt:267:0 ------------------------------------------------------------------- update-leader! [63] 100.0% [87] 176(0.8%) 176(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ------------------------------------------------------------------- loop [62] 31.0% ??? [75] 69.0% [88] 4236(20.0%) 4236(20.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------- ??? [75] 100.0% [89] 1336(6.3%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [95] 100.0% ------------------------------------------------------------------- for-loop [77] 100.0% [90] 984(4.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [96] 100.0% ------------------------------------------------------------------- adopt-enode! [82] 25.7% loop! [76] 74.3% [91] 786(3.7%) 202(1.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [97] 51.7% for-loop [99] 22.6% ------------------------------------------------------------------- loop! [76] 100.0% [92] 424(2.0%) 424(2.0%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------- for-loop [80] 100.0% [93] 222(1.0%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [98] 100.0% ------------------------------------------------------------------- ??? [83] 100.0% [94] 200(0.9%) 200(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------- ??? [89] 100.0% [95] 1336(6.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [102] 60.0% ??? [100] 40.0% ------------------------------------------------------------------- for-loop [90] 100.0% [96] 984(4.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [101] 100.0% ------------------------------------------------------------------- custom-set-union [91] 100.0% [97] 406(1.9%) 220(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [103] 45.8% ------------------------------------------------------------------- setfindf [93] 100.0% [98] 222(1.0%) 222(1.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ------------------------------------------------------------------- custom-set-union [91] 100.0% [99] 178(0.8%) 178(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------- ??? [95] 40.8% ??? [78] 59.2% [100] 1308(6.2%) 774(3.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [105] 40.8% ------------------------------------------------------------------- hash-update! [96] 100.0% [101] 984(4.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [104] 100.0% ------------------------------------------------------------------- ??? [95] 100.0% [102] 802(3.8%) 540(2.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [106] 32.7% ------------------------------------------------------------------- for-loop [97] 100.0% [103] 186(0.9%) 186(0.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------- ??? [101] 100.0% [104] 984(4.6%) 984(4.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------- ??? [100] 100.0% [105] 534(2.5%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [107] 100.0% ------------------------------------------------------------------- bfadd [102] 100.0% [106] 262(1.2%) 262(1.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- ??? [105] 100.0% [107] 534(2.5%) 534(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------