Profiling results ----------------- Total cpu time observed: 15986ms (out of 16352ms) Number of samples taken: 61 (once every 262ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 98 hidden) ================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================ ??? [6] 100.0% [1] 15986(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------- hash-ref! [74] 100.0% [2] 268(1.7%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:68:15 hash-ref! [74] 66.7% ??? [45] 33.3% ---------------------------------------------------------------- ??? [45] 100.0% [3] 268(1.7%) 0(0.0%) approximate9 ...ie/master/src/core/taylor.rkt:12:0 loop [5] 100.0% ---------------------------------------------------------------- profile-thunk16 [1] 100.0% [4] 15986(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [6] 100.0% ---------------------------------------------------------------- approximate9 [3] 100.0% [5] 268(1.7%) 0(0.0%) loop ...ies/herbie/master/src/core/taylor.rkt:87:4 hash-ref! [74] 100.0% ---------------------------------------------------------------- for-loop [58] 1.4% run [4] 49.3% [6] 15986(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.3% run-improve43 [7] 23.1% prepare-points [8] 20.1% errors [49] 2.3% oracle-error [9] 2.3% eval-errors [10] 1.5% ??? [28] 0.9% ??? [45] 0.5% ---------------------------------------------------------------- ??? [6] 100.0% [7] 7472(46.7%) 0(0.0%) run-improve43 ...bie/master/src/mainloop.rkt:339:0 for-loop [11] 96.4% simplify! [22] 3.6% ---------------------------------------------------------------- ??? [6] 100.0% [8] 6430(40.2%) 0(0.0%) prepare-points ...rbie/master/src/points.rkt:166:0 loop [12] 100.0% ---------------------------------------------------------------- ??? [6] 100.0% [9] 736(4.6%) 0(0.0%) oracle-error ...herbie/master/src/points.rkt:207:0 for-loop [13] 100.0% ---------------------------------------------------------------- ??? [6] 100.0% [10] 472(3.0%) 0(0.0%) eval-errors .../herbie/master/src/points.rkt:198:0 for-loop [14] 100.0% ---------------------------------------------------------------- run-improve43 [7] 100.0% [11] 7204(45.1%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:354:4 run-iter! [15] 100.0% ---------------------------------------------------------------- prepare-points [8] 100.0% [12] 6430(40.2%) 0(0.0%) loop ...ghtlies/herbie/master/src/points.rkt:143:4 loop [16] 56.4% ??? [17] 36.9% loop [20] 3.4% andmap [21] 3.2% ---------------------------------------------------------------- oracle-error [9] 100.0% [13] 736(4.6%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:208:2 loop [32] 66.3% map [18] 33.7% ---------------------------------------------------------------- eval-errors [10] 100.0% [14] 472(3.0%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:200:2 ulp-difference [19] 51.3% ??? [28] 48.7% ---------------------------------------------------------------- for-loop [11] 100.0% [15] 7204(45.1%) 0(0.0%) run-iter! .../herbie/master/src/mainloop.rkt:320:0 simplify! [22] 89.0% finalize-iter! [23] 7.3% gen-series! [24] 3.7% ---------------------------------------------------------------- loop [12] 100.0% [16] 3628(22.7%) 0(0.0%) loop ...ghtlies/herbie/master/src/points.rkt:102:2 ??? [28] 92.1% hash-update! [95] 7.9% ---------------------------------------------------------------- loop [12] 100.0% [17] 2374(14.9%) 0(0.0%) ??? ...ightlies/herbie/master/src/points.rkt:127:2 ??? [45] 50.5% loop [32] 49.5% ---------------------------------------------------------------- for-loop [13] 100.0% [18] 248(1.6%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 ??? [25] 100.0% ---------------------------------------------------------------- for-loop [14] 100.0% [19] 242(1.5%) 0(0.0%) ulp-difference ...herbie/master/src/float.rkt:46:0 infer-representation [26]100.0% ---------------------------------------------------------------- loop [12] 100.0% [20] 220(1.4%) 0(0.0%) loop ...7.0/collects/racket/private/map.rkt:110:23 ordinary-value? [40] 100.0% ---------------------------------------------------------------- loop [12] 100.0% [21] 208(1.3%) 0(0.0%) andmap ...0/collects/racket/private/map.rkt:102:13 ordinary-value? [40] 100.0% ---------------------------------------------------------------- run-improve43 [7] 4.0% run-iter! [15] 96.0% [22] 6680(41.8%) 0(0.0%) simplify! .../herbie/master/src/mainloop.rkt:217:0 ??? [27] 100.0% ---------------------------------------------------------------- run-iter! [15] 100.0% [23] 524(3.3%) 0(0.0%) finalize-iter! ...ie/master/src/mainloop.rkt:271:0 ??? [29] 100.0% ---------------------------------------------------------------- run-iter! [15] 100.0% [24] 268(1.7%) 0(0.0%) gen-series! ...erbie/master/src/mainloop.rkt:153:0 for-loop [30] 100.0% ---------------------------------------------------------------- map [18] 100.0% [25] 248(1.6%) 0(0.0%) ??? ...ghtlies/herbie/master/src/points.rkt:209:26 ??? [28] 100.0% ---------------------------------------------------------------- ulp-difference [19] 100.0% [26] 242(1.5%) 242(1.5%) infer-representation .../master/src/float.rkt:15:0 ---------------------------------------------------------------- simplify! [22] 100.0% [27] 6680(41.8%) 0(0.0%) ??? ...es/herbie/master/src/core/simplify.rkt:26:0 for-loop [31] 63.0% loop [34] 33.5% one-iter [37] 3.5% ---------------------------------------------------------------- for-loop [14] 5.1% loop [32] 5.4% ??? [25] 5.5% ??? [6] 9.3% loop [16] 74.6% [28] 4480(28.0%) 248(1.6%) ??? ...ghtlies/herbie/master/src/programs.rkt:99:2 ??? [33] 51.5% ??? [45] 27.9% loop [32] 15.1% ---------------------------------------------------------------- finalize-iter! [23] 100.0% [29] 524(3.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [35] 100.0% ---------------------------------------------------------------- gen-series! [24] 100.0% [30] 268(1.7%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:160:7 taylor-alt [36] 100.0% ---------------------------------------------------------------- ??? [27] 100.0% [31] 4208(26.3%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:33:2 one-iter [37] 100.0% ---------------------------------------------------------------- loop! [79] 1.1% loop [32] 16.1% for-loop [13] 17.3% ??? [28] 23.9% ??? [17] 41.6% [32] 2828(17.7%) 520(3.3%) loop ...-7.0/collects/racket/private/map.rkt:40:19 ??? [45] 56.3% loop [32] 16.1% ordinary-value? [40] 8.6% ??? [28] 8.6% loop! [79] 0.8% ---------------------------------------------------------------- ??? [28] 100.0% [33] 2306(14.4%) 204(1.3%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [39] 50.0% ??? [45] 31.2% ??? [44] 10.0% ---------------------------------------------------------------- ??? [27] 100.0% [34] 2238(14.0%) 0(0.0%) loop .../herbie/master/src/core/simplify.rkt:105:2 for-loop [38] 100.0% ---------------------------------------------------------------- ??? [29] 100.0% [35] 524(3.3%) 0(0.0%) for-loop ...bie/master/src/core/alt-table.rkt:56:2 override-at-pnts [41] 53.1% atab-add-altn [43] 46.9% ---------------------------------------------------------------- for-loop [30] 100.0% [36] 268(1.7%) 0(0.0%) taylor-alt ...herbie/master/src/mainloop.rkt:139:0 for-loop [42] 100.0% ---------------------------------------------------------------- ??? [27] 5.3% for-loop [31] 94.7% [37] 4442(27.8%) 0(0.0%) one-iter ...rbie/master/src/core/simplify.rkt:65:0 find-matches [46] 56.9% for-loop [47] 43.1% ---------------------------------------------------------------- loop [34] 100.0% [38] 2238(14.0%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:111:4 argmin [48] 55.3% expression-cost [57] 22.0% loop [53] 11.6% for-loop [59] 11.1% ---------------------------------------------------------------- ??? [33] 100.0% [39] 1152(7.2%) 210(1.3%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-add [50] 81.8% ---------------------------------------------------------------- andmap [21] 31.0% loop [20] 32.7% loop [32] 36.3% [40] 672(4.2%) 0(0.0%) ordinary-value? ...erbie/master/src/float.rkt:80:0 special-value? [51] 100.0% ---------------------------------------------------------------- for-loop [35] 100.0% [41] 278(1.7%) 0(0.0%) override-at-pnts ...r/src/core/alt-table.rkt:138:0 for-loop [52] 100.0% ---------------------------------------------------------------- taylor-alt [36] 100.0% [42] 268(1.7%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:145:6 ??? [45] 100.0% ---------------------------------------------------------------- for-loop [35] 100.0% [43] 246(1.5%) 0(0.0%) atab-add-altn ...ster/src/core/alt-table.rkt:202:0 errors [49] 100.0% ---------------------------------------------------------------- ??? [33] 100.0% [44] 230(1.4%) 230(1.4%) ??? .../herbie/master/src/syntax/syntax.rkt:209:17 ---------------------------------------------------------------- ??? [2] 1.7% for-loop [42] 1.7% ??? [6] 4.7% ??? [33] 13.7% ??? [17] 22.7% ??? [28] 23.7% loop [32] 30.2% [45] 5274(33.0%) 452(2.8%) ??? ...tract/private/arrow-higher-order.rkt:357:33 sample-multi-bounded [55] 40.8% ->flonum [60] 17.2% mk-ival [61] 14.7% ival-mult [62] 13.7% approximate9 [3] 1.7% hash-ref! [74] 1.7% ---------------------------------------------------------------- one-iter [37] 100.0% [46] 2528(15.8%) 0(0.0%) find-matches .../master/src/core/simplify.rkt:55:0 for-loop [54] 100.0% ---------------------------------------------------------------- one-iter [37] 100.0% [47] 1914(12.0%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:67:2 for-loop [56] 100.0% ---------------------------------------------------------------- for-loop [38] 100.0% [48] 1238(7.7%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 expression-cost [57] 60.7% for-loop [59] 39.3% ---------------------------------------------------------------- atab-add-altn [43] 21.9% ??? [6] 78.1% [49] 1122(7.0%) 0(0.0%) errors ...tlies/herbie/master/src/points.rkt:223:0 for-loop [58] 100.0% ---------------------------------------------------------------- ??? [39] 100.0% [50] 942(5.9%) 0(0.0%) ival-add ...herbie/master/src/biginterval.rkt:94:0 bfadd [66] 100.0% ---------------------------------------------------------------- ordinary-value? [40] 100.0% [51] 672(4.2%) 0(0.0%) special-value? ...herbie/master/src/float.rkt:76:0 for-loop [63] 100.0% ---------------------------------------------------------------- override-at-pnts [41] 100.0% [52] 278(1.7%) 278(1.7%) for-loop ...e/master/src/core/alt-table.rkt:139:22 ---------------------------------------------------------------- for-loop [38] 100.0% [53] 260(1.6%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 for-loop [59] 100.0% ---------------------------------------------------------------- for-loop [54] 50.0% find-matches [46] 50.0% [54] 2528(15.8%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:57:8 for-loop [54] 50.0% match-e [64] 50.0% ---------------------------------------------------------------- ??? [45] 100.0% [55] 2154(13.5%) 1914(12.0%) sample-multi-bounded ...master/src/points.rkt:15:0 ??? [86] 11.1% ---------------------------------------------------------------- for-loop [47] 100.0% [56] 1914(12.0%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:70:4 merge-egraph-nodes! [67] 47.5% dedup-children! [69] 40.2% mk-enode! [72] 12.2% ---------------------------------------------------------------- for-loop [38] 39.5% argmin [48] 60.5% [57] 1244(7.8%) 0(0.0%) expression-cost ...e/master/src/programs.rkt:157:0 compile [65] 100.0% ---------------------------------------------------------------- errors [49] 100.0% [58] 1122(7.0%) 460(2.9%) for-loop ...ies/herbie/master/src/points.rkt:225:2 ??? [6] 59.0% ---------------------------------------------------------------- for-loop [38] 24.9% loop [53] 26.2% argmin [48] 48.9% [59] 994(6.2%) 260(1.6%) for-loop ...s/herbie/master/src/programs.rkt:158:2 table-ref [70] 73.8% ---------------------------------------------------------------- ??? [45] 100.0% [60] 906(5.7%) 210(1.3%) ->flonum ...lies/herbie/master/src/float.rkt:149:0 ??? [71] 76.8% ---------------------------------------------------------------- ??? [45] 100.0% [61] 774(4.8%) 0(0.0%) mk-ival .../herbie/master/src/biginterval.rkt:57:0 bf [68] 100.0% ---------------------------------------------------------------- ??? [45] 100.0% [62] 720(4.5%) 512(3.2%) ival-mult ...rbie/master/src/biginterval.rkt:112:0 bfadd [66] 28.9% ---------------------------------------------------------------- special-value? [51] 100.0% [63] 672(4.2%) 672(4.2%) for-loop ...tlies/herbie/master/src/float.rkt:17:3 ---------------------------------------------------------------- for-loop [85] 16.3% for-loop [54] 83.7% [64] 2528(15.8%) 882(5.5%) match-e .../herbie/master/src/core/ematch.rkt:39:0 for-loop [73] 61.9% variable? [83] 3.2% ---------------------------------------------------------------- expression-cost [57] 100.0% [65] 1244(7.8%) 0(0.0%) compile ...es/herbie/master/src/programs.rkt:134:0 hash-ref! [74] 100.0% ---------------------------------------------------------------- ival-mult [62] 18.1% ival-add [50] 81.9% [66] 1150(7.2%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [75] 63.3% new-mpfr [80] 36.7% ---------------------------------------------------------------- merge-egraph-nodes! [67] 14.3% for-loop [56] 85.7% [67] 910(5.7%) 0(0.0%) merge-egraph-nodes! ...r/src/core/egraph.rkt:143:0 update-leader! [81] 46.4% loop! [79] 39.3% merge-egraph-nodes! [67] 14.3% ---------------------------------------------------------------- mk-ival [61] 100.0% [68] 774(4.8%) 246(1.5%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 ??? [75] 68.2% ---------------------------------------------------------------- for-loop [56] 100.0% [69] 770(4.8%) 0(0.0%) dedup-children! ...master/src/core/enode.rkt:195:0 loop [78] 64.2% loop [82] 35.8% ---------------------------------------------------------------- for-loop [59] 100.0% [70] 734(4.6%) 240(1.5%) table-ref ...ies/herbie/master/src/common.rkt:41:0 for-loop [77] 67.3% ---------------------------------------------------------------- ->flonum [60] 100.0% [71] 696(4.4%) 0(0.0%) ??? .../nightlies/herbie/master/src/float.rkt:23:2 for-loop [76] 100.0% ---------------------------------------------------------------- for-loop [56] 100.0% [72] 234(1.5%) 234(1.5%) mk-enode! ...erbie/master/src/core/egraph.rkt:97:0 ---------------------------------------------------------------- match-e [64] 100.0% [73] 1646(10.3%) 1406(8.8%) for-loop ...erbie/master/src/core/ematch.rkt:52:11 for-loop [85] 29.8% ---------------------------------------------------------------- ??? [90] 3.5% ??? [45] 3.5% loop [5] 3.5% ??? [2] 7.1% ??? [84] 37.6% compile [65] 44.7% [74] 1512(9.5%) 1244(7.8%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [84] 37.6% ??? [2] 10.6% ??? [90] 3.5% ??? [89] 3.5% ---------------------------------------------------------------- bf [68] 42.0% bfadd [66] 58.0% [75] 1256(7.9%) 1256(7.9%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ---------------------------------------------------------------- ??? [71] 100.0% [76] 696(4.4%) 490(3.1%) for-loop ...tlies/herbie/master/src/float.rkt:24:5 ??? [86] 29.6% ---------------------------------------------------------------- table-ref [70] 100.0% [77] 494(3.1%) 494(3.1%) for-loop ...lies/herbie/master/src/common.rkt:43:4 ---------------------------------------------------------------- dedup-children! [69] 13.3% loop [78] 86.7% [78] 494(3.1%) 494(3.1%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [78] 86.7% ---------------------------------------------------------------- loop [32] 23.4% merge-egraph-nodes! [67] 76.6% [79] 488(3.1%) 0(0.0%) loop! ...es/herbie/master/src/core/enode.rkt:187:2 loop [32] 76.6% set [92] 23.4% ---------------------------------------------------------------- bfadd [66] 100.0% [80] 422(2.6%) 422(2.6%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ---------------------------------------------------------------- merge-egraph-nodes! [67] 100.0% [81] 422(2.6%) 0(0.0%) update-leader! ...master/src/core/egraph.rkt:211:0 for-loop [87] 100.0% ---------------------------------------------------------------- dedup-children! [69] 25.0% loop [82] 75.0% [82] 276(1.7%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [82] 75.0% loop [88] 25.0% ---------------------------------------------------------------- match-e [64] 100.0% [83] 240(1.5%) 0(0.0%) variable? ...ie/master/src/syntax/syntax.rkt:724:0 value? [91] 100.0% ---------------------------------------------------------------- hash-ref! [74] 100.0% [84] 1004(6.3%) 0(0.0%) ??? ...htlies/herbie/master/src/programs.rkt:142:5 hash-ref! [74] 100.0% ---------------------------------------------------------------- for-loop [73] 100.0% [85] 742(4.6%) 0(0.0%) for-loop ...erbie/master/src/core/ematch.rkt:58:37 match-e [64] 100.0% ---------------------------------------------------------------- for-loop [76] 46.2% sample-multi-bounded [55] 53.8% [86] 446(2.8%) 446(2.8%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ---------------------------------------------------------------- update-leader! [81] 100.0% [87] 422(2.6%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:216:6 hash-update! [95] 51.7% for-loop [94] 48.3% ---------------------------------------------------------------- loop [82] 100.0% [88] 276(1.7%) 276(1.7%) loop (unknown source) ---------------------------------------------------------------- hash-ref! [74] 100.0% [89] 268(1.7%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:291:26 for-loop [93] 100.0% ---------------------------------------------------------------- hash-ref! [74] 100.0% [90] 268(1.7%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:45:15 hash-ref! [74] 100.0% ---------------------------------------------------------------- variable? [83] 100.0% [91] 240(1.5%) 240(1.5%) value? .../herbie/master/src/syntax/types.rkt:18:0 ---------------------------------------------------------------- loop! [79] 100.0% [92] 228(1.4%) 228(1.4%) set ...collects/racket/private/set-types.rkt:981:0 ---------------------------------------------------------------- ??? [89] 100.0% [93] 268(1.7%) 268(1.7%) for-loop ...rbie/master/src/core/taylor.rkt:291:52 ---------------------------------------------------------------- for-loop [87] 100.0% [94] 204(1.3%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:217:8 hash-update! [95] 100.0% ---------------------------------------------------------------- for-loop [94] 28.8% for-loop [87] 30.8% loop [16] 40.4% [95] 708(4.4%) 286(1.8%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [96] 59.6% ---------------------------------------------------------------- hash-update! [95] 100.0% [96] 422(2.6%) 0(0.0%) ??? ...es/herbie/master/src/core/egraph.rkt:219:24 for-loop [97] 100.0% ---------------------------------------------------------------- ??? [96] 100.0% [97] 422(2.6%) 422(2.6%) for-loop ...rbie/master/src/core/egraph.rkt:220:26 ----------------------------------------------------------------