Profiling results ----------------- Total cpu time observed: 27262ms (out of 27516ms) Number of samples taken: 122 (once every 223ms) =================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================== ??? [26] 100.0% [1] 26396(96.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ------------------------------------------------------------------- ??? [26] 100.0% [2] 19272(70.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 92.9% get-final-combination [9] 5.9% loop [31] 1.2% ------------------------------------------------------------------- loop [62] 5.3% ??? [26] 94.7% [3] 16788(61.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 60.6% for-loop [8] 30.7% iterate-egraph!5 [11] 7.5% debug7 [68] 1.2% ------------------------------------------------------------------- loop [62] 100.0% [4] 250(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [24] 50.0% map [56] 50.0% ------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 26396(96.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 17904(65.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ------------------------------------------------------------------- simplify [3] 100.0% [7] 10180(37.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 100.0% ------------------------------------------------------------------- simplify [3] 100.0% [8] 5146(18.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1128(4.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ------------------------------------------------------------------- for-loop [6] 100.0% [10] 17904(65.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 88.8% finalize-iter! [15] 7.3% gen-series! [16] 2.5% localize-error [18] 1.4% ------------------------------------------------------------------- simplify [3] 7.6% for-loop [8] 31.0% simplify-expr [7] 61.4% [11] 16588(60.8%) 202(0.7%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [13] 96.2% map-enodes [17] 2.6% ------------------------------------------------------------------- get-final-combination [9] 100.0% [12] 1128(4.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 78.5% loop [19] 21.5% ------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [13] 15958(58.5%) 220(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [21] 66.5% loop [22] 29.4% apply-match [27] 2.7% ------------------------------------------------------------------- run-iter! [10] 100.0% [14] 15902(58.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [20] 100.0% ------------------------------------------------------------------- run-iter! [10] 100.0% [15] 1304(4.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [70] 100.0% ------------------------------------------------------------------- run-iter! [10] 100.0% [16] 448(1.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [17] 428(1.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [62] 100.0% ------------------------------------------------------------------- run-iter! [10] 100.0% [18] 250(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [24] 100.0% ------------------------------------------------------------------- extract-alt [12] 100.0% [19] 242(0.9%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [25] 100.0% ------------------------------------------------------------------- simplify! [14] 100.0% [20] 15902(58.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% ------------------------------------------------------------------- for-loop [21] 48.0% one-iter [13] 52.0% [21] 10620(39.0%) 2124(7.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 48.0% match-e [30] 39.0% ??? [52] 1.0% ------------------------------------------------------------------- one-iter [13] 100.0% [22] 4694(17.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [27] 100.0% ------------------------------------------------------------------- gen-series! [16] 100.0% [23] 448(1.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ------------------------------------------------------------------- ??? [4] 50.0% localize-error [18] 50.0% [24] 250(0.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [29] 100.0% ------------------------------------------------------------------- loop [19] 100.0% [25] 242(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [79] 100.0% ------------------------------------------------------------------- for-loop [20] 20.0% run [5] 39.2% [26] 27262(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 39.2% run-improve58 [2] 26.2% simplify [3] 20.0% loop [31] 14.7% ------------------------------------------------------------------- one-iter [13] 8.3% loop [22] 91.7% [27] 5118(18.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [37] 33.3% loop! [51] 16.5% for-loop [32] 16.5% match-e [30] 16.5% update-leader! [44] 9.0% substitute-e [40] 4.2% reduce-to-single! [34] 3.9% ------------------------------------------------------------------- for-loop [23] 100.0% [28] 448(1.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ------------------------------------------------------------------- hash-ref! [24] 100.0% [29] 250(0.9%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 100.0% ------------------------------------------------------------------- apply-match [27] 5.7% for-loop [42] 16.3% for-loop [21] 78.0% [30] 9138(33.5%) 4878(17.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [36] 35.3% for-loop [42] 8.9% loop [62] 4.5% constant? [39] 3.4% list-cartesian-product [45] 2.4% ------------------------------------------------------------------- run-improve58 [2] 2.9% ??? [26] 97.1% [31] 8230(30.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [35] 54.5% make-exacts* [41] 42.6% loop [43] 2.9% ------------------------------------------------------------------- apply-match [27] 100.0% [32] 846(3.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [37] 26.2% mk-enode! [47] 26.0% substitute-e [40] 23.9% loop! [51] 23.9% ------------------------------------------------------------------- taylor-alt [28] 100.0% [33] 448(1.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ------------------------------------------------------------------- apply-match [27] 100.0% [34] 202(0.7%) 202(0.7%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ------------------------------------------------------------------- loop [31] 100.0% [35] 4484(16.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [43] 62.4% make-exacts* [41] 37.6% ------------------------------------------------------------------- match-e [30] 100.0% [36] 3858(14.2%) 1044(3.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [42] 61.4% list-cartesian-product [45] 8.6% foldl [48] 5.8% ------------------------------------------------------------------- for-loop [32] 11.5% apply-match [27] 88.5% [37] 1926(7.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 89.3% for-loop [49] 10.7% ------------------------------------------------------------------- location-do [38] 33.6% for-loop [33] 66.4% [38] 448(1.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [46] 66.4% location-do [38] 33.6% ------------------------------------------------------------------- match-e [30] 100.0% [39] 422(1.5%) 422(1.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------- for-loop [32] 16.2% substitute-e [40] 32.4% apply-match [27] 51.4% [40] 416(1.5%) 202(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [47] 51.4% substitute-e [40] 32.4% ------------------------------------------------------------------- loop [35] 32.5% loop [31] 67.5% [41] 5194(19.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 56.8% loop [62] 43.2% ------------------------------------------------------------------- match-e [30] 30.3% for-loop [36] 69.7% [42] 4036(14.8%) 202(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 73.7% ??? [52] 21.3% ------------------------------------------------------------------- loop [31] 7.9% loop [35] 92.1% [43] 3036(11.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ------------------------------------------------------------------- apply-match [27] 21.2% merge-egraph-nodes! [37] 78.8% [44] 2182(8.0%) 200(0.7%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [50] 90.8% ------------------------------------------------------------------- list-cartesian-product [45] 12.5% match-e [30] 12.5% for-loop [36] 74.9% [45] 886(3.2%) 886(3.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [45] 12.5% ------------------------------------------------------------------- location-do [38] 100.0% [46] 448(1.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [53] 100.0% ------------------------------------------------------------------- substitute-e [40] 49.3% for-loop [32] 50.7% [47] 434(1.6%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [54] 100.0% ------------------------------------------------------------------- for-loop [36] 100.0% [48] 222(0.8%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [55] 100.0% ------------------------------------------------------------------- merge-egraph-nodes! [37] 100.0% [49] 206(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [51] 100.0% ------------------------------------------------------------------- update-leader! [44] 100.0% [50] 1982(7.3%) 202(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [57] 89.8% ------------------------------------------------------------------- for-loop [49] 5.5% for-loop [32] 8.1% loop [62] 35.8% apply-match [27] 50.6% [51] 1254(4.6%) 222(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [62] 51.9% set [59] 21.5% custom-set-union [61] 17.7% ------------------------------------------------------------------- for-loop [21] 19.0% for-loop [42] 81.0% [52] 1062(3.9%) 242(0.9%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [58] 77.2% ------------------------------------------------------------------- map [56] 25.2% f94 [53] 33.0% approximate9 [46] 41.7% [53] 448(1.6%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [53] 33.0% map [56] 25.2% taylor-invert [60] 25.2% loop [62] 16.5% ------------------------------------------------------------------- mk-enode! [47] 100.0% [54] 434(1.6%) 434(1.6%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------- foldl [48] 100.0% [55] 222(0.8%) 222(0.8%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------- f94 [53] 3.5% ??? [4] 3.9% make-exacts* [41] 45.7% loop [43] 47.0% [56] 6462(23.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 89.5% ->flonum [87] 3.9% f94 [53] 3.5% ??? [82] 3.2% ------------------------------------------------------------------- for-loop [50] 100.0% [57] 1780(6.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% ------------------------------------------------------------------- ??? [52] 100.0% [58] 820(3.0%) 820(3.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------- loop! [51] 100.0% [59] 608(2.2%) 608(2.2%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------- f94 [53] 100.0% [60] 226(0.8%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [65] 100.0% ------------------------------------------------------------------- loop! [51] 100.0% [61] 222(0.8%) 222(0.8%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------- make-exacts* [41] 0.0% parse-loop12 [29] 0.1% map [56] 0.7% map-enodes [17] 1.0% f94 [53] 1.9% extract-alt [12] 2.6% loop! [51] 4.4% match-e [30] 5.4% loop [62] 83.9% [62] 11468(42.1%) 826(3.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 83.9% loop! [51] 3.5% simplify [3] 2.6% simplify [65] 1.9% for-loop [66] 1.0% ??? [82] 0.7% ??? [4] 0.1% ------------------------------------------------------------------- for-loop [57] 100.0% [63] 1780(6.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [64] 100.0% ------------------------------------------------------------------- hash-update! [63] 100.0% [64] 1780(6.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [67] 100.0% ------------------------------------------------------------------- loop [62] 49.6% taylor-invert [60] 50.4% [65] 448(1.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [68] 50.4% ??? [69] 49.6% ------------------------------------------------------------------- loop [62] 100.0% [66] 428(1.6%) 428(1.6%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ------------------------------------------------------------------- ??? [64] 100.0% [67] 1780(6.5%) 1578(5.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [72] 11.3% ------------------------------------------------------------------- simplify [3] 46.9% simplify [65] 53.1% [68] 426(1.6%) 226(0.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [70] 46.9% ------------------------------------------------------------------- simplify [65] 100.0% [69] 222(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [71] 100.0% ------------------------------------------------------------------- debug7 [68] 13.3% finalize-iter! [15] 86.7% [70] 1504(5.5%) 200(0.7%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [73] 71.9% atab-add-altns [74] 14.8% ------------------------------------------------------------------- ??? [69] 100.0% [71] 222(0.8%) 222(0.8%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 ------------------------------------------------------------------- for-loop [67] 100.0% [72] 202(0.7%) 202(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------- ??? [70] 100.0% [73] 1082(4.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [75] 100.0% ------------------------------------------------------------------- ??? [70] 100.0% [74] 222(0.8%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [75] 100.0% ------------------------------------------------------------------- atab-add-altns [74] 17.0% for-loop [73] 83.0% [75] 1304(4.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [76] 66.3% override-at-pnts [77] 18.4% loop [78] 15.3% ------------------------------------------------------------------- atab-add-altn [75] 100.0% [76] 864(3.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [79] 100.0% ------------------------------------------------------------------- atab-add-altn [75] 100.0% [77] 240(0.9%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [79] 100.0% ------------------------------------------------------------------- atab-add-altn [75] 100.0% [78] 200(0.7%) 200(0.7%) loop ...cket/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------- override-at-pnts [77] 17.8% composed [25] 18.0% best-and-tied-at-points [76] 64.2% [79] 1346(4.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [80] 50.7% for-loop [81] 49.3% ------------------------------------------------------------------- errors [79] 100.0% [80] 682(2.5%) 682(2.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------- errors [79] 100.0% [81] 664(2.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 69.9% ulp-difference [83] 30.1% ------------------------------------------------------------------- map [56] 2.3% for-loop [81] 5.3% loop [62] 92.3% [82] 8694(31.9%) 1242(4.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 48.5% real->bigfloat [85] 23.3% ??? [86] 11.2% ->flonum [87] 2.8% ------------------------------------------------------------------- for-loop [81] 100.0% [83] 200(0.7%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [89] 100.0% ------------------------------------------------------------------- ??? [82] 100.0% [84] 4214(15.5%) 228(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 70.3% bf* [90] 12.4% bffma [88] 11.8% ------------------------------------------------------------------- ??? [82] 100.0% [85] 2022(7.4%) 1546(5.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 23.5% ------------------------------------------------------------------- ??? [82] 100.0% [86] 974(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ------------------------------------------------------------------- ??? [82] 49.2% map [56] 50.8% [87] 492(1.8%) 250(0.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 49.2% ------------------------------------------------------------------- ??? [84] 100.0% [88] 498(1.8%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [90] 100.0% ------------------------------------------------------------------- ulp-difference [83] 45.2% ->flonum [87] 54.8% [89] 442(1.6%) 442(1.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------- bffma [88] 48.7% ??? [84] 51.3% [90] 1022(3.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ------------------------------------------------------------------- bf* [90] 25.6% ??? [84] 74.4% [91] 3986(14.6%) 260(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 68.9% ??? [93] 24.5% ------------------------------------------------------------------- ??? [91] 100.0% [92] 2748(10.1%) 1996(7.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 27.4% ------------------------------------------------------------------- ??? [86] 49.9% ??? [91] 50.1% [93] 1952(7.2%) 728(2.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 50.4% ??? [96] 12.3% ------------------------------------------------------------------- real->bigfloat [85] 38.8% bfmul [92] 61.2% [94] 1228(4.5%) 1228(4.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------- ??? [93] 100.0% [95] 984(3.6%) 766(2.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 22.2% ------------------------------------------------------------------- ??? [93] 100.0% [96] 240(0.9%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [97] 100.0% ------------------------------------------------------------------- ??? [96] 100.0% [97] 240(0.9%) 240(0.9%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------- ??? [95] 100.0% [98] 218(0.8%) 218(0.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------