Profiling results ----------------- Total cpu time observed: 95906ms (out of 96352ms) Number of samples taken: 300 (once every 320ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 98 hidden) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [5] 100.0% [1] 95906(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% -------------------------------------------------------------------------------- ??? [34] 100.0% [2] 358(0.4%) 0(0.0%) approximate9 ...ginterval/src/core/taylor.rkt:12:0 loop [4] 100.0% -------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [3] 95906(100.0%) 0(0.0%) run ...et-7.2/share/pkgs/profile-lib/main.rkt:39:2 ??? [5] 100.0% -------------------------------------------------------------------------------- approximate9 [2] 100.0% [4] 358(0.4%) 0(0.0%) loop .../more-biginterval/src/core/taylor.rkt:87:4 hash-ref! [6] 100.0% -------------------------------------------------------------------------------- for-loop [92] 0.1% run [3] 49.9% [5] 95906(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.9% run-improve47 [7] 43.1% prepare-points-intervals [8] 6.6% errors [86] 0.1% ??? [17] 0.1% -------------------------------------------------------------------------------- ??? [34] 50.0% loop [4] 50.0% [6] 358(0.4%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [9] 50.0% taylor [10] 50.0% -------------------------------------------------------------------------------- ??? [5] 100.0% [7] 82630(86.2%) 0(0.0%) run-improve47 ...iginterval/src/mainloop.rkt:345:0 simplify! [16] 66.1% for-loop [11] 33.6% ??? [24] 0.3% -------------------------------------------------------------------------------- ??? [5] 100.0% [8] 12624(13.2%) 0(0.0%) prepare-points-intervals ...l/src/points.rkt:110:0 loop [12] 100.0% -------------------------------------------------------------------------------- hash-ref! [6] 100.0% [9] 358(0.4%) 0(0.0%) ??? .../more-biginterval/src/core/taylor.rkt:68:15 ??? [34] 100.0% -------------------------------------------------------------------------------- hash-ref! [6] 100.0% [10] 358(0.4%) 0(0.0%) taylor ...re-biginterval/src/core/taylor.rkt:170:0 loop [64] 100.0% -------------------------------------------------------------------------------- run-improve47 [7] 100.0% [11] 27764(28.9%) 0(0.0%) for-loop ...ore-biginterval/src/mainloop.rkt:363:4 run-iter! [13] 100.0% -------------------------------------------------------------------------------- prepare-points-intervals [8] 100.0% [12] 12624(13.2%) 0(0.0%) loop ...rbie/more-biginterval/src/points.rkt:123:4 loop [14] 84.6% ??? [15] 15.4% -------------------------------------------------------------------------------- for-loop [11] 100.0% [13] 27764(28.9%) 0(0.0%) run-iter! ...re-biginterval/src/mainloop.rkt:326:0 simplify! [16] 97.4% finalize-iter! [18] 1.3% gen-series! [19] 1.3% -------------------------------------------------------------------------------- loop [12] 100.0% [14] 10676(11.1%) 290(0.3%) loop ...erbie/more-biginterval/src/points.rkt:81:2 ??? [17] 97.3% -------------------------------------------------------------------------------- loop [12] 100.0% [15] 1948(2.0%) 1010(1.1%) ??? ...erbie/more-biginterval/src/points.rkt:106:2 ??? [34] 48.2% -------------------------------------------------------------------------------- run-iter! [13] 33.1% run-improve47 [7] 66.9% [16] 81636(85.1%) 0(0.0%) simplify! ...re-biginterval/src/mainloop.rkt:223:0 ??? [20] 100.0% -------------------------------------------------------------------------------- ??? [5] 2.8% loop [14] 97.2% [17] 10690(11.1%) 304(0.3%) ??? ...bie/more-biginterval/src/programs.rkt:115:2 ??? [21] 72.5% ??? [34] 24.7% -------------------------------------------------------------------------------- run-iter! [13] 100.0% [18] 360(0.4%) 0(0.0%) finalize-iter! ...ginterval/src/mainloop.rkt:277:0 ??? [67] 100.0% -------------------------------------------------------------------------------- run-iter! [13] 100.0% [19] 358(0.4%) 0(0.0%) gen-series! ...-biginterval/src/mainloop.rkt:159:0 for-loop [22] 100.0% -------------------------------------------------------------------------------- simplify! [16] 100.0% [20] 81636(85.1%) 0(0.0%) ??? ...more-biginterval/src/core/simplify.rkt:26:0 for-loop [23] 99.2% loop [29] 0.4% one-iter [26] 0.4% -------------------------------------------------------------------------------- ??? [17] 100.0% [21] 7746(8.1%) 0(0.0%) ??? ...t-7.2/collects/racket/private/kw.rkt:594:14 ??? [34] 82.6% ??? [24] 17.4% -------------------------------------------------------------------------------- gen-series! [19] 100.0% [22] 358(0.4%) 0(0.0%) for-loop ...ore-biginterval/src/mainloop.rkt:166:7 taylor-alt [25] 100.0% -------------------------------------------------------------------------------- ??? [20] 100.0% [23] 80982(84.4%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:35:2 one-iter [26] 99.6% loop [29] 0.4% -------------------------------------------------------------------------------- run-improve47 [7] 17.0% ??? [21] 83.0% [24] 1626(1.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:364:33 ival-sub [27] 43.3% ival-add [28] 39.7% ??? [31] 17.0% -------------------------------------------------------------------------------- for-loop [22] 100.0% [25] 358(0.4%) 0(0.0%) taylor-alt ...e-biginterval/src/mainloop.rkt:145:0 for-loop [30] 100.0% -------------------------------------------------------------------------------- ??? [20] 0.4% for-loop [23] 99.6% [26] 81008(84.5%) 0(0.0%) one-iter ...biginterval/src/core/simplify.rkt:72:0 for-loop [32] 79.3% find-matches [33] 17.0% for-loop [35] 3.4% for-loop [37] 0.3% -------------------------------------------------------------------------------- ??? [24] 100.0% [27] 704(0.7%) 0(0.0%) ival-sub ...-biginterval/src/biginterval.rkt:107:0 bfmul [47] 100.0% -------------------------------------------------------------------------------- ??? [24] 100.0% [28] 646(0.7%) 0(0.0%) ival-add ...-biginterval/src/biginterval.rkt:101:0 bfmul [47] 100.0% -------------------------------------------------------------------------------- for-loop [23] 47.5% ??? [20] 52.5% [29] 628(0.7%) 0(0.0%) loop ...e-biginterval/src/core/extraction.rkt:25:2 for-loop [36] 100.0% -------------------------------------------------------------------------------- taylor-alt [25] 100.0% [30] 358(0.4%) 0(0.0%) for-loop ...ore-biginterval/src/mainloop.rkt:151:6 ??? [34] 100.0% -------------------------------------------------------------------------------- ??? [24] 100.0% [31] 276(0.3%) 276(0.3%) ??? ...cts/racket/contract/private/list.rkt:209:10 -------------------------------------------------------------------------------- one-iter [26] 100.0% [32] 64232(67.0%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:74:2 for-loop [38] 100.0% -------------------------------------------------------------------------------- one-iter [26] 100.0% [33] 13806(14.4%) 0(0.0%) find-matches ...nterval/src/core/simplify.rkt:62:0 for-loop [39] 100.0% -------------------------------------------------------------------------------- ??? [9] 1.2% for-loop [30] 1.2% ??? [15] 9.1% ??? [17] 25.6% ??? [21] 61.9% [34] 10332(10.8%) 700(0.7%) ??? ...tract/private/arrow-higher-order.rkt:360:33 ival-mult [40] 61.9% mk-ival [41] 22.3% sample-multi-bounded [43] 5.5% approximate9 [2] 1.2% hash-ref! [6] 1.2% -------------------------------------------------------------------------------- one-iter [26] 100.0% [35] 2720(2.8%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:84:2 update-leader! [55] 100.0% -------------------------------------------------------------------------------- loop [29] 100.0% [36] 628(0.7%) 0(0.0%) for-loop ...ginterval/src/core/extraction.rkt:29:4 for-loop [42] 100.0% -------------------------------------------------------------------------------- one-iter [26] 100.0% [37] 250(0.3%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:81:2 set-precompute! [44] 100.0% -------------------------------------------------------------------------------- for-loop [32] 100.0% [38] 64232(67.0%) 296(0.3%) for-loop ...biginterval/src/core/simplify.rkt:77:4 merge-egraph-nodes! [45] 82.9% dedup-children! [65] 12.5% mk-enode-rec! [49] 2.2% pattern-substitute [50] 1.9% -------------------------------------------------------------------------------- for-loop [39] 47.8% find-matches [33] 52.2% [39] 13806(14.4%) 1094(1.1%) for-loop ...biginterval/src/core/simplify.rkt:64:8 for-loop [39] 47.8% match-e [46] 46.0% -------------------------------------------------------------------------------- ??? [34] 100.0% [40] 6396(6.7%) 1888(2.0%) ival-mult ...biginterval/src/biginterval.rkt:119:0 bfmul [47] 70.5% -------------------------------------------------------------------------------- ??? [34] 100.0% [41] 2308(2.4%) 0(0.0%) mk-ival ...re-biginterval/src/biginterval.rkt:65:0 bf [48] 100.0% -------------------------------------------------------------------------------- for-loop [36] 100.0% [42] 628(0.7%) 0(0.0%) for-loop ...interval/src/core/extraction.rkt:37:16 for-loop [51] 100.0% -------------------------------------------------------------------------------- ??? [34] 100.0% [43] 570(0.6%) 0(0.0%) sample-multi-bounded ...terval/src/points.rkt:15:0 random-ranges [52] 50.2% for-loop [53] 49.8% -------------------------------------------------------------------------------- for-loop [37] 100.0% [44] 250(0.3%) 0(0.0%) set-precompute! ...rval/src/core/simplify.rkt:88:0 for-loop [54] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [45] 4.4% for-loop [57] 5.9% for-loop [38] 89.7% [45] 53256(55.5%) 0(0.0%) merge-egraph-nodes! ...l/src/core/egraph.rkt:145:0 update-leader! [55] 61.6% loop! [73] 26.2% for-loop [57] 6.1% merge-egraph-nodes! [45] 4.4% dedup-children! [65] 1.6% -------------------------------------------------------------------------------- for-loop [66] 38.1% for-loop [39] 61.9% [46] 12712(13.3%) 2064(2.2%) match-e ...re-biginterval/src/core/ematch.rkt:39:0 for-loop [56] 81.7% variable? [60] 4.6% ??? [67] 3.3% -------------------------------------------------------------------------------- ival-add [28] 11.0% ival-sub [27] 12.0% ival-mult [40] 77.0% [47] 5858(6.1%) 288(0.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [58] 48.7% ??? [59] 46.4% -------------------------------------------------------------------------------- mk-ival [41] 100.0% [48] 2308(2.4%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [58] 100.0% -------------------------------------------------------------------------------- for-loop [38] 100.0% [49] 1434(1.5%) 902(0.9%) mk-enode-rec! ...nterval/src/core/egraph.rkt:117:0 loop [64] 19.0% for-loop [61] 18.1% -------------------------------------------------------------------------------- pattern-substitute [50] 37.1% for-loop [38] 62.9% [50] 1196(1.2%) 1196(1.2%) pattern-substitute ...al/src/core/matcher.rkt:46:0 pattern-substitute [50] 37.1% -------------------------------------------------------------------------------- for-loop [42] 100.0% [51] 628(0.7%) 628(0.7%) for-loop ...interval/src/core/extraction.rkt:41:23 -------------------------------------------------------------------------------- sample-multi-bounded [43] 100.0% [52] 286(0.3%) 286(0.3%) random-ranges ...-biginterval/src/common.rkt:171:0 -------------------------------------------------------------------------------- sample-multi-bounded [43] 100.0% [53] 284(0.3%) 284(0.3%) for-loop ...e/more-biginterval/src/points.rkt:23:4 -------------------------------------------------------------------------------- set-precompute! [44] 100.0% [54] 250(0.3%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:90:2 setfindf [62] 100.0% -------------------------------------------------------------------------------- for-loop [35] 7.2% merge-egraph-nodes! [45] 92.8% [55] 38016(39.6%) 300(0.3%) update-leader! ...terval/src/core/egraph.rkt:213:0 for-loop [63] 99.2% -------------------------------------------------------------------------------- match-e [46] 100.0% [56] 11830(12.3%) 3906(4.1%) for-loop ...-biginterval/src/core/ematch.rkt:52:11 for-loop [66] 55.6% loop [64] 8.4% procedure-reduce-keyword-arity-mask [68] 8.1% do-curry [69] 4.4% foldr [70] 2.5% foldl [76] 1.1% -------------------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [57] 6858(7.2%) 0(0.0%) for-loop ...-biginterval/src/core/egraph.rkt:199:4 merge-egraph-nodes! [45] 98.2% dedup-children! [65] 1.8% -------------------------------------------------------------------------------- bf [48] 44.7% bfmul [47] 55.3% [58] 5162(5.4%) 5162(5.4%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 -------------------------------------------------------------------------------- bfmul [47] 100.0% [59] 2716(2.8%) 2716(2.8%) ??? /opt/racket-7.2/collects/ffi/unsafe.rkt:905:4 -------------------------------------------------------------------------------- match-e [46] 100.0% [60] 1752(1.8%) 0(0.0%) variable? ...ginterval/src/syntax/syntax.rkt:729:0 value? [85] 51.5% ??? [67] 48.5% -------------------------------------------------------------------------------- mk-enode-rec! [49] 100.0% [61] 260(0.3%) 260(0.3%) for-loop ...biginterval/src/core/egraph.rkt:109:10 -------------------------------------------------------------------------------- for-loop [54] 100.0% [62] 250(0.3%) 0(0.0%) setfindf .../more-biginterval/src/common.rkt:130:0 for-loop [71] 100.0% -------------------------------------------------------------------------------- update-leader! [55] 100.0% [63] 37716(39.3%) 278(0.3%) for-loop ...-biginterval/src/core/egraph.rkt:218:6 hash-update! [82] 53.5% for-loop [72] 45.8% -------------------------------------------------------------------------------- for-loop [56] 0.3% mk-enode-rec! [49] 2.3% taylor [10] 3.0% loop! [73] 14.3% loop [64] 80.1% [64] 12078(12.6%) 1038(1.1%) loop ...-7.2/collects/racket/private/map.rkt:40:19 loop [64] 80.1% loop! [73] 14.3% simplify [78] 3.0% ??? [80] 2.3% foldl [76] 0.2% -------------------------------------------------------------------------------- for-loop [57] 3.8% merge-egraph-nodes! [45] 12.9% for-loop [38] 83.3% [65] 9664(10.1%) 0(0.0%) dedup-children! ...terval/src/core/enode.rkt:202:0 loop [74] 93.8% loop [75] 6.2% -------------------------------------------------------------------------------- for-loop [56] 100.0% [66] 8712(9.1%) 0(0.0%) for-loop ...-biginterval/src/core/ematch.rkt:58:37 match-e [46] 96.6% ??? [79] 3.4% -------------------------------------------------------------------------------- finalize-iter! [18] 15.5% variable? [60] 36.6% match-e [46] 47.8% [67] 2320(2.4%) 1960(2.0%) ??? ...contract/private/arrow-val-first.rkt:390:18 for-loop [77] 15.5% -------------------------------------------------------------------------------- for-loop [56] 100.0% [68] 954(1.0%) 954(1.0%) procedure-reduce-keyword-arity-mask ....rkt:1562:4 -------------------------------------------------------------------------------- for-loop [56] 100.0% [69] 798(0.8%) 798(0.8%) do-curry ...-7.2/collects/racket/function.rkt:71:2 -------------------------------------------------------------------------------- for-loop [56] 100.0% [70] 300(0.3%) 300(0.3%) foldr ....2/collects/racket/private/list.rkt:242:4 -------------------------------------------------------------------------------- setfindf [62] 100.0% [71] 250(0.3%) 0(0.0%) for-loop .../more-biginterval/src/common.rkt:131:2 constant? [81] 100.0% -------------------------------------------------------------------------------- for-loop [63] 100.0% [72] 17276(18.0%) 0(0.0%) for-loop ...-biginterval/src/core/egraph.rkt:219:8 hash-update! [82] 100.0% -------------------------------------------------------------------------------- loop [64] 32.5% merge-egraph-nodes! [45] 67.5% [73] 16346(17.0%) 4002(4.2%) loop! ...more-biginterval/src/core/enode.rkt:194:2 custom-set-union [83] 36.9% loop [64] 32.5% set [84] 14.8% update-en-expr [95] 2.8% -------------------------------------------------------------------------------- dedup-children! [65] 12.5% loop [74] 87.5% [74] 9060(9.4%) 9060(9.4%) loop ...racket-7.2/collects/racket/list.rkt:434:17 loop [74] 87.5% -------------------------------------------------------------------------------- dedup-children! [65] 33.6% loop [75] 66.4% [75] 604(0.6%) 0(0.0%) loop ...racket-7.2/collects/racket/list.rkt:417:34 loop [75] 66.4% loop [87] 33.6% -------------------------------------------------------------------------------- for-loop [56] 45.6% loop [64] 54.4% [76] 548(0.6%) 0(0.0%) foldl ....2/collects/racket/private/list.rkt:229:4 merge2 [88] 100.0% -------------------------------------------------------------------------------- ??? [67] 100.0% [77] 360(0.4%) 0(0.0%) for-loop ...iginterval/src/core/alt-table.rkt:55:2 errors [86] 100.0% -------------------------------------------------------------------------------- loop [64] 100.0% [78] 358(0.4%) 0(0.0%) simplify ...e-biginterval/src/core/reduce.rkt:16:0 debug-print [89] 100.0% -------------------------------------------------------------------------------- for-loop [66] 100.0% [79] 294(0.3%) 294(0.3%) ??? ...e/more-biginterval/src/core/ematch.rkt:43:5 -------------------------------------------------------------------------------- loop [64] 100.0% [80] 272(0.3%) 272(0.3%) ??? ...cket-7.2/collects/racket/function.rkt:93:12 -------------------------------------------------------------------------------- for-loop [71] 100.0% [81] 250(0.3%) 0(0.0%) constant? ...ginterval/src/syntax/syntax.rkt:726:0 value? [85] 100.0% -------------------------------------------------------------------------------- for-loop [72] 46.1% for-loop [63] 53.9% [82] 37438(39.0%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [90] 100.0% -------------------------------------------------------------------------------- loop! [73] 100.0% [83] 6494(6.8%) 2272(2.4%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [91] 65.0% -------------------------------------------------------------------------------- loop! [73] 100.0% [84] 4922(5.1%) 4922(5.1%) set ...collects/racket/private/set-types.rkt:981:0 -------------------------------------------------------------------------------- constant? [81] 21.7% variable? [60] 78.3% [85] 1152(1.2%) 1152(1.2%) value? ...re-biginterval/src/syntax/types.rkt:18:0 -------------------------------------------------------------------------------- ??? [5] 45.8% for-loop [77] 54.2% [86] 664(0.7%) 0(0.0%) errors ...ie/more-biginterval/src/points.rkt:205:0 for-loop [92] 100.0% -------------------------------------------------------------------------------- loop [75] 100.0% [87] 604(0.6%) 604(0.6%) loop (unknown source) -------------------------------------------------------------------------------- foldl [76] 100.0% [88] 548(0.6%) 548(0.6%) merge2 ...ore-biginterval/src/core/ematch.rkt:24:0 -------------------------------------------------------------------------------- simplify [78] 100.0% [89] 358(0.4%) 358(0.4%) debug-print ...ore-biginterval/src/debug.rkt:110:0 -------------------------------------------------------------------------------- hash-update! [82] 100.0% [90] 37438(39.0%) 586(0.6%) ??? ...more-biginterval/src/core/egraph.rkt:221:24 for-loop [93] 98.4% -------------------------------------------------------------------------------- custom-set-union [83] 100.0% [91] 4222(4.4%) 958(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 77.3% -------------------------------------------------------------------------------- errors [86] 100.0% [92] 664(0.7%) 360(0.4%) for-loop .../more-biginterval/src/points.rkt:207:2 ??? [5] 45.8% -------------------------------------------------------------------------------- ??? [90] 100.0% [93] 36852(38.4%) 34430(35.9%) for-loop ...biginterval/src/core/egraph.rkt:222:26 update-en-expr [95] 6.6% -------------------------------------------------------------------------------- for-loop [91] 100.0% [94] 3264(3.4%) 3264(3.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- loop! [73] 27.7% for-loop [93] 72.3% [95] 3350(3.5%) 3350(3.5%) update-en-expr ...terval/src/core/egraph.rkt:207:0 --------------------------------------------------------------------------------