Profiling results ----------------- Total cpu time observed: 15522ms (out of 15832ms) Number of samples taken: 58 (once every 268ms) ================================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================================ ??? [14] 100.0% [1] 15522(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% -------------------------------------------------------------------------------- ??? [14] 100.0% [2] 8090(52.1%) 0(0.0%) run-improve47 ...iginterval/src/mainloop.rkt:345:0 for-loop [9] 97.0% simplify! [18] 3.0% -------------------------------------------------------------------------------- hash-ref! [72] 100.0% [3] 528(3.4%) 0(0.0%) ??? .../more-biginterval/src/core/taylor.rkt:68:15 hash-ref! [72] 64.8% ??? [55] 35.2% -------------------------------------------------------------------------------- ??? [55] 100.0% [4] 528(3.4%) 0(0.0%) approximate9 ...ginterval/src/core/taylor.rkt:12:0 loop [10] 100.0% -------------------------------------------------------------------------------- hash-ref! [72] 100.0% [5] 528(3.4%) 0(0.0%) simplify ...e-biginterval/src/core/reduce.rkt:16:0 f46 [11] 100.0% -------------------------------------------------------------------------------- hash-ref! [72] 100.0% [6] 260(1.7%) 0(0.0%) ??? ...more-biginterval/src/core/taylor.rkt:291:26 for-loop [12] 100.0% -------------------------------------------------------------------------------- matcher [61] 100.0% [7] 246(1.6%) 0(0.0%) ??? ...ore-biginterval/src/core/matcher.rkt:130:11 for-loop [13] 100.0% -------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [8] 15522(100.0%) 0(0.0%) run ...et-7.2/share/pkgs/profile-lib/main.rkt:39:2 ??? [14] 100.0% -------------------------------------------------------------------------------- run-improve47 [2] 100.0% [9] 7850(50.6%) 0(0.0%) for-loop ...ore-biginterval/src/mainloop.rkt:363:4 run-iter! [15] 100.0% -------------------------------------------------------------------------------- approximate9 [4] 100.0% [10] 528(3.4%) 0(0.0%) loop .../more-biginterval/src/core/taylor.rkt:87:4 hash-ref! [72] 100.0% -------------------------------------------------------------------------------- map [17] 32.8% simplify [5] 67.2% [11] 528(3.4%) 0(0.0%) f46 ...2/collects/racket/match/compiler.rkt:507:40 eval-const-expr [16] 50.8% map [17] 49.2% -------------------------------------------------------------------------------- ??? [6] 100.0% [12] 260(1.7%) 0(0.0%) for-loop ...biginterval/src/core/taylor.rkt:291:52 hash-ref! [72] 100.0% -------------------------------------------------------------------------------- ??? [7] 100.0% [13] 246(1.6%) 0(0.0%) for-loop ...iginterval/src/core/matcher.rkt:132:15 matcher [61] 100.0% -------------------------------------------------------------------------------- for-loop [75] 0.5% run [8] 49.8% [14] 15522(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.8% run-improve47 [2] 25.8% prepare-points-intervals [19] 22.4% errors-score [24] 0.8% oracle-error [25] 0.8% ??? [41] 0.5% -------------------------------------------------------------------------------- for-loop [9] 100.0% [15] 7850(50.6%) 0(0.0%) run-iter! ...re-biginterval/src/mainloop.rkt:326:0 simplify! [18] 87.3% gen-series! [20] 6.7% gen-rewrites! [23] 3.1% finalize-iter! [26] 2.8% -------------------------------------------------------------------------------- f46 [11] 100.0% [16] 268(1.7%) 0(0.0%) eval-const-expr ...interval/src/programs.rkt:118:0 loop [21] 100.0% -------------------------------------------------------------------------------- f46 [11] 100.0% [17] 260(1.7%) 0(0.0%) map ...t-7.2/collects/racket/private/map.rkt:35:13 f46 [11] 66.7% simplify* [22] 33.3% -------------------------------------------------------------------------------- run-improve47 [2] 3.4% run-iter! [15] 96.6% [18] 7096(45.7%) 0(0.0%) simplify! ...re-biginterval/src/mainloop.rkt:223:0 ??? [27] 100.0% -------------------------------------------------------------------------------- ??? [14] 100.0% [19] 6954(44.8%) 0(0.0%) prepare-points-intervals ...l/src/points.rkt:110:0 loop [28] 100.0% -------------------------------------------------------------------------------- run-iter! [15] 100.0% [20] 528(3.4%) 0(0.0%) gen-series! ...-biginterval/src/mainloop.rkt:159:0 for-loop [29] 100.0% -------------------------------------------------------------------------------- expand-capturing-lifts [30] 50.0% eval-const-expr [16] 50.0% [21] 268(1.7%) 268(1.7%) loop (unknown source) expand-capturing-lifts [30] 50.0% -------------------------------------------------------------------------------- map [17] 100.0% [22] 260(1.7%) 260(1.7%) simplify* ...-biginterval/src/core/reduce.rkt:31:0 -------------------------------------------------------------------------------- run-iter! [15] 100.0% [23] 246(1.6%) 0(0.0%) gen-rewrites! ...iginterval/src/mainloop.rkt:182:0 for-loop [31] 100.0% -------------------------------------------------------------------------------- ??? [14] 100.0% [24] 242(1.6%) 0(0.0%) errors-score ...e-biginterval/src/points.rkt:196:0 loop [32] 100.0% -------------------------------------------------------------------------------- ??? [14] 100.0% [25] 236(1.5%) 0(0.0%) oracle-error ...e-biginterval/src/points.rkt:188:0 for-loop [33] 100.0% -------------------------------------------------------------------------------- run-iter! [15] 100.0% [26] 220(1.4%) 0(0.0%) finalize-iter! ...ginterval/src/mainloop.rkt:277:0 ??? [44] 100.0% -------------------------------------------------------------------------------- simplify! [18] 100.0% [27] 7096(45.7%) 0(0.0%) ??? ...more-biginterval/src/core/simplify.rkt:26:0 for-loop [34] 96.2% one-iter [40] 3.8% -------------------------------------------------------------------------------- prepare-points-intervals [19] 100.0% [28] 6954(44.8%) 0(0.0%) loop ...rbie/more-biginterval/src/points.rkt:123:4 loop [35] 66.4% ??? [36] 30.7% andmap [39] 2.9% -------------------------------------------------------------------------------- gen-series! [20] 100.0% [29] 528(3.4%) 0(0.0%) for-loop ...ore-biginterval/src/mainloop.rkt:166:7 taylor-alt [37] 100.0% -------------------------------------------------------------------------------- loop [21] 100.0% [30] 268(1.7%) 0(0.0%) expand-capturing-lifts (unknown source) loop [21] 100.0% -------------------------------------------------------------------------------- gen-rewrites! [23] 100.0% [31] 246(1.6%) 0(0.0%) for-loop ...re-biginterval/src/mainloop.rkt:190:11 rewrite-expression-head20 [38] 100.0% -------------------------------------------------------------------------------- errors-score [24] 100.0% [32] 242(1.6%) 0(0.0%) loop .../racket-7.2/collects/racket/list.rkt:559:2 ??? [45] 100.0% -------------------------------------------------------------------------------- oracle-error [25] 100.0% [33] 236(1.5%) 0(0.0%) for-loop .../more-biginterval/src/points.rkt:189:2 loop [49] 100.0% -------------------------------------------------------------------------------- ??? [27] 100.0% [34] 6826(44.0%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:35:2 one-iter [40] 95.4% loop [46] 4.6% -------------------------------------------------------------------------------- loop [28] 100.0% [35] 4620(29.8%) 418(2.7%) loop ...erbie/more-biginterval/src/points.rkt:81:2 ??? [41] 81.7% ??? [44] 5.0% ??? [89] 4.3% -------------------------------------------------------------------------------- loop [28] 100.0% [36] 2132(13.7%) 0(0.0%) ??? ...erbie/more-biginterval/src/points.rkt:106:2 loop [49] 50.5% compose [42] 27.6% ??? [55] 22.0% -------------------------------------------------------------------------------- for-loop [29] 100.0% [37] 528(3.4%) 0(0.0%) taylor-alt ...e-biginterval/src/mainloop.rkt:145:0 for-loop [43] 100.0% -------------------------------------------------------------------------------- for-loop [31] 100.0% [38] 246(1.6%) 0(0.0%) rewrite-expression-head20 ...core/matcher.rkt:87:0 rewriter [47] 100.0% -------------------------------------------------------------------------------- loop [28] 100.0% [39] 202(1.3%) 0(0.0%) andmap ...2/collects/racket/private/map.rkt:102:13 ??? [45] 100.0% -------------------------------------------------------------------------------- ??? [27] 4.0% for-loop [34] 96.0% [40] 6784(43.7%) 0(0.0%) one-iter ...biginterval/src/core/simplify.rkt:72:0 find-matches [48] 68.6% for-loop [50] 31.4% -------------------------------------------------------------------------------- ??? [14] 5.5% loop [35] 94.5% [41] 3994(25.7%) 0(0.0%) ??? ...bie/more-biginterval/src/programs.rkt:115:2 ??? [51] 48.4% ??? [55] 27.6% loop [49] 23.9% -------------------------------------------------------------------------------- ??? [36] 100.0% [42] 588(3.8%) 588(3.8%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------------- taylor-alt [37] 100.0% [43] 528(3.4%) 0(0.0%) for-loop ...ore-biginterval/src/mainloop.rkt:151:6 ??? [55] 100.0% -------------------------------------------------------------------------------- finalize-iter! [26] 48.9% loop [35] 51.1% [44] 450(2.9%) 230(1.5%) ??? ...contract/private/arrow-val-first.rkt:390:18 for-loop [54] 48.9% -------------------------------------------------------------------------------- andmap [39] 45.5% loop [32] 54.5% [45] 444(2.9%) 444(2.9%) ??? ...cket-7.2/collects/racket/function.rkt:93:12 -------------------------------------------------------------------------------- for-loop [34] 100.0% [46] 312(2.0%) 0(0.0%) loop ...e-biginterval/src/core/extraction.rkt:25:2 hash-keys [52] 100.0% -------------------------------------------------------------------------------- rewrite-expression-head20 [38] 25.0% matcher [61] 75.0% [47] 246(1.6%) 0(0.0%) rewriter ...-biginterval/src/core/matcher.rkt:90:2 for-loop [53] 100.0% -------------------------------------------------------------------------------- one-iter [40] 100.0% [48] 4654(30.0%) 0(0.0%) find-matches ...nterval/src/core/simplify.rkt:62:0 for-loop [56] 100.0% -------------------------------------------------------------------------------- for-loop [33] 8.7% mk-enode-rec! [70] 16.7% ??? [41] 35.1% ??? [36] 39.5% [49] 2724(17.5%) 0(0.0%) loop ...-7.2/collects/racket/private/map.rkt:40:19 ??? [55] 74.6% mk-enode-rec! [70] 16.7% ??? [62] 8.7% -------------------------------------------------------------------------------- one-iter [40] 100.0% [50] 2130(13.7%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:74:2 for-loop [57] 100.0% -------------------------------------------------------------------------------- ??? [41] 100.0% [51] 1934(12.5%) 0(0.0%) ??? ...t-7.2/collects/racket/private/kw.rkt:594:14 ??? [55] 67.7% ??? [58] 20.9% ??? [63] 11.4% -------------------------------------------------------------------------------- loop [46] 100.0% [52] 312(2.0%) 0(0.0%) hash-keys .../collects/racket/private/hash.rkt:2:2 loop [59] 100.0% -------------------------------------------------------------------------------- rewriter [47] 100.0% [53] 246(1.6%) 0(0.0%) for-loop ...-biginterval/src/core/matcher.rkt:92:4 matcher [61] 75.0% for-loop [60] 25.0% -------------------------------------------------------------------------------- ??? [44] 100.0% [54] 220(1.4%) 0(0.0%) for-loop ...iginterval/src/core/alt-table.rkt:55:2 errors [64] 100.0% -------------------------------------------------------------------------------- ??? [3] 3.2% location-do [71] 3.2% for-loop [43] 3.2% ??? [36] 8.6% ??? [41] 20.3% ??? [51] 24.1% loop [49] 37.3% [55] 5442(35.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:360:33 mk-ival [66] 37.9% sample-multi-bounded [67] 28.4% ival-mult [68] 24.1% location-do [71] 3.2% approximate9 [4] 3.2% hash-ref! [72] 3.2% -------------------------------------------------------------------------------- for-loop [56] 50.0% find-matches [48] 50.0% [56] 4654(30.0%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:64:8 for-loop [56] 50.0% match-e [65] 50.0% -------------------------------------------------------------------------------- for-loop [50] 100.0% [57] 2130(13.7%) 0(0.0%) for-loop ...biginterval/src/core/simplify.rkt:77:4 merge-egraph-nodes! [69] 54.6% mk-enode-rec! [70] 45.4% -------------------------------------------------------------------------------- ??? [51] 100.0% [58] 404(2.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:364:33 ival-add [73] 100.0% -------------------------------------------------------------------------------- hash-keys [52] 0.9% loop [59] 99.1% [59] 312(2.0%) 312(2.0%) loop ...t-7.2/collects/racket/private/hash.rkt:3:4 loop [59] 99.1% -------------------------------------------------------------------------------- for-loop [53] 100.0% [60] 246(1.6%) 0(0.0%) for-loop ...-biginterval/src/core/matcher.rkt:99:8 fix-up-variables [74] 100.0% -------------------------------------------------------------------------------- for-loop [13] 50.0% for-loop [53] 50.0% [61] 246(1.6%) 0(0.0%) matcher ...-biginterval/src/core/matcher.rkt:118:2 ??? [7] 50.0% rewriter [47] 50.0% -------------------------------------------------------------------------------- loop [49] 100.0% [62] 236(1.5%) 236(1.5%) ??? ...rbie/more-biginterval/src/points.rkt:190:26 -------------------------------------------------------------------------------- ??? [51] 100.0% [63] 220(1.4%) 220(1.4%) ??? ...re-biginterval/src/syntax/syntax.rkt:214:17 -------------------------------------------------------------------------------- for-loop [54] 100.0% [64] 220(1.4%) 0(0.0%) errors ...ie/more-biginterval/src/points.rkt:205:0 for-loop [75] 100.0% -------------------------------------------------------------------------------- for-loop [88] 36.5% for-loop [56] 63.5% [65] 4654(30.0%) 1300(8.4%) match-e ...re-biginterval/src/core/ematch.rkt:39:0 for-loop [76] 77.2% constant? [80] 8.8% -------------------------------------------------------------------------------- ??? [55] 100.0% [66] 2060(13.3%) 0(0.0%) mk-ival ...re-biginterval/src/biginterval.rkt:65:0 bf [77] 100.0% -------------------------------------------------------------------------------- ??? [55] 100.0% [67] 1544(9.9%) 206(1.3%) sample-multi-bounded ...terval/src/points.rkt:15:0 random-ranges [79] 86.7% -------------------------------------------------------------------------------- ??? [55] 100.0% [68] 1310(8.4%) 0(0.0%) ival-mult ...biginterval/src/biginterval.rkt:119:0 bfadd [78] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 7.0% for-loop [87] 7.0% for-loop [57] 85.9% [69] 1164(7.5%) 0(0.0%) merge-egraph-nodes! ...l/src/core/egraph.rkt:145:0 loop! [82] 30.2% update-leader! [83] 28.7% dedup-children! [84] 27.0% for-loop [87] 7.0% merge-egraph-nodes! [69] 7.0% -------------------------------------------------------------------------------- loop [49] 23.6% for-loop [57] 76.4% [70] 966(6.2%) 966(6.2%) mk-enode-rec! ...nterval/src/core/egraph.rkt:117:0 loop [49] 23.6% -------------------------------------------------------------------------------- ??? [55] 100.0% [71] 528(3.4%) 0(0.0%) location-do ...e-biginterval/src/programs.rkt:64:0 ??? [55] 100.0% -------------------------------------------------------------------------------- ??? [85] 5.5% for-loop [12] 5.5% ??? [81] 18.2% ??? [55] 18.2% loop [10] 18.2% ??? [3] 34.6% [72] 528(3.4%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 52.7% ??? [81] 18.2% simplify [5] 18.2% ??? [6] 5.5% ??? [85] 5.5% -------------------------------------------------------------------------------- ??? [58] 100.0% [73] 404(2.6%) 0(0.0%) ival-add ...-biginterval/src/biginterval.rkt:101:0 bfadd [78] 100.0% -------------------------------------------------------------------------------- for-loop [60] 100.0% [74] 246(1.6%) 0(0.0%) fix-up-variables ...val/src/core/matcher.rkt:111:2 pattern-match [86] 100.0% -------------------------------------------------------------------------------- errors [64] 100.0% [75] 220(1.4%) 0(0.0%) for-loop .../more-biginterval/src/points.rkt:207:2 ??? [14] 100.0% -------------------------------------------------------------------------------- match-e [65] 100.0% [76] 4352(28.0%) 2180(14.0%) for-loop ...-biginterval/src/core/ematch.rkt:52:11 for-loop [88] 56.5% cartesian-product [98] 6.0% procedure-reduce-keyword-arity-mask [97] 3.3% -------------------------------------------------------------------------------- mk-ival [66] 100.0% [77] 2060(13.3%) 200(1.3%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 ??? [89] 58.4% new-mpfr [90] 31.8% -------------------------------------------------------------------------------- ival-add [73] 23.6% ival-mult [68] 76.4% [78] 1714(11.0%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:821:4 ??? [89] 58.3% new-mpfr [90] 41.7% -------------------------------------------------------------------------------- sample-multi-bounded [67] 100.0% [79] 1338(8.6%) 220(1.4%) random-ranges ...-biginterval/src/common.rkt:171:0 build--> [91] 50.4% cons/c [94] 33.2% -------------------------------------------------------------------------------- match-e [65] 100.0% [80] 628(4.0%) 0(0.0%) constant? ...ginterval/src/syntax/syntax.rkt:726:0 value? [92] 100.0% -------------------------------------------------------------------------------- hash-ref! [72] 100.0% [81] 528(3.4%) 0(0.0%) ??? .../more-biginterval/src/core/taylor.rkt:45:15 hash-ref! [72] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [82] 516(3.3%) 0(0.0%) loop! ...more-biginterval/src/core/enode.rkt:194:2 custom-set-union [93] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [83] 334(2.2%) 0(0.0%) update-leader! ...terval/src/core/egraph.rkt:213:0 for-loop [95] 100.0% -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [84] 314(2.0%) 0(0.0%) dedup-children! ...terval/src/core/enode.rkt:202:0 loop [96] 100.0% -------------------------------------------------------------------------------- hash-ref! [72] 100.0% [85] 260(1.7%) 0(0.0%) ??? ...more-biginterval/src/core/taylor.rkt:328:33 hash-ref! [72] 100.0% -------------------------------------------------------------------------------- fix-up-variables [74] 100.0% [86] 246(1.6%) 246(1.6%) pattern-match ...nterval/src/core/matcher.rkt:30:0 -------------------------------------------------------------------------------- merge-egraph-nodes! [69] 100.0% [87] 246(1.6%) 0(0.0%) for-loop ...-biginterval/src/core/egraph.rkt:199:4 merge-egraph-nodes! [69] 100.0% -------------------------------------------------------------------------------- for-loop [76] 100.0% [88] 3292(21.2%) 0(0.0%) for-loop ...-biginterval/src/core/ematch.rkt:58:37 match-e [65] 100.0% -------------------------------------------------------------------------------- loop [35] 8.2% bfadd [78] 41.6% bf [77] 50.1% [89] 2402(15.5%) 2402(15.5%) ??? /opt/racket-7.2/collects/ffi/unsafe.rkt:905:4 -------------------------------------------------------------------------------- bf [77] 47.9% bfadd [78] 52.1% [90] 1370(8.8%) 1370(8.8%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 -------------------------------------------------------------------------------- random-ranges [79] 100.0% [91] 674(4.3%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1088:0 coerce-contract [99] 100.0% -------------------------------------------------------------------------------- constant? [80] 100.0% [92] 628(4.0%) 628(4.0%) value? ...re-biginterval/src/syntax/types.rkt:18:0 -------------------------------------------------------------------------------- loop! [82] 100.0% [93] 516(3.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [100] 100.0% -------------------------------------------------------------------------------- random-ranges [79] 100.0% [94] 444(2.9%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:504:15 coerce-contract [99] 100.0% -------------------------------------------------------------------------------- update-leader! [83] 100.0% [95] 334(2.2%) 0(0.0%) for-loop ...-biginterval/src/core/egraph.rkt:218:6 hash-update! [101] 100.0% -------------------------------------------------------------------------------- dedup-children! [84] 20.0% loop [96] 80.0% [96] 314(2.0%) 0(0.0%) loop ...racket-7.2/collects/racket/list.rkt:417:34 loop [96] 80.0% member [102] 20.0% -------------------------------------------------------------------------------- for-loop [76] 100.0% [97] 286(1.8%) 286(1.8%) procedure-reduce-keyword-arity-mask ....rkt:1562:4 -------------------------------------------------------------------------------- for-loop [76] 100.0% [98] 260(1.7%) 260(1.7%) cartesian-product ...ollects/racket/list.rkt:822:0 -------------------------------------------------------------------------------- cons/c [94] 39.7% build--> [91] 60.3% [99] 1118(7.2%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:308:0 coerce-contract/f [103] 100.0% -------------------------------------------------------------------------------- custom-set-union [93] 100.0% [100] 516(3.3%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [104] 100.0% -------------------------------------------------------------------------------- for-loop [95] 100.0% [101] 334(2.2%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [105] 100.0% -------------------------------------------------------------------------------- loop [96] 100.0% [102] 314(2.0%) 314(2.0%) member (unknown source) -------------------------------------------------------------------------------- coerce-contract [99] 100.0% [103] 1118(7.2%) 240(1.5%) coerce-contract/f ...ntract/private/guts.rkt:373:0 coerce-simple-value [106] 78.5% -------------------------------------------------------------------------------- for-loop [100] 100.0% [104] 516(3.3%) 516(3.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------------------- hash-update! [101] 100.0% [105] 334(2.2%) 0(0.0%) ??? ...more-biginterval/src/core/egraph.rkt:221:24 for-loop [107] 100.0% -------------------------------------------------------------------------------- coerce-contract/f [103] 100.0% [106] 878(5.7%) 878(5.7%) coerce-simple-value ...ract/private/guts.rkt:386:0 -------------------------------------------------------------------------------- ??? [105] 100.0% [107] 334(2.2%) 334(2.2%) for-loop ...biginterval/src/core/egraph.rkt:222:26 --------------------------------------------------------------------------------