Profiling results ----------------- Total cpu time observed: 15790ms (out of 16080ms) Number of samples taken: 56 (once every 282ms) ==================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ==================================================================== ??? [6] 100.0% [1] 15790(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% -------------------------------------------------------------------- ??? [71] 100.0% [2] 284(1.8%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [5] 100.0% -------------------------------------------------------------------- substitute-e [70] 100.0% [3] 276(1.7%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [26] 100.0% -------------------------------------------------------------------- profile-thunk16 [1] 100.0% [4] 15790(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [6] 100.0% -------------------------------------------------------------------- approximate9 [2] 100.0% [5] 284(1.8%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:87:4 hash-ref! [61] 100.0% -------------------------------------------------------------------- for-loop [53] 1.2% run [4] 49.4% [6] 15790(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.4% run-improve40 [7] 34.4% prepare-points-intervals [8] 11.5% oracle-error [9] 1.9% ??? [25] 1.2% eval-errors [10] 1.0% errors [43] 0.6% -------------------------------------------------------------------- ??? [6] 100.0% [7] 10956(69.4%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [11] 100.0% -------------------------------------------------------------------- ??? [6] 100.0% [8] 3620(22.9%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [12] 100.0% -------------------------------------------------------------------- ??? [6] 100.0% [9] 612(3.9%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [13] 100.0% -------------------------------------------------------------------- ??? [6] 100.0% [10] 320(2.0%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [14] 100.0% -------------------------------------------------------------------- run-improve40 [7] 100.0% [11] 10956(69.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [15] 100.0% -------------------------------------------------------------------- prepare-points-intervals [8]100.0% [12] 3620(22.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [16] 69.3% ??? [17] 23.1% ordinary-value? [19] 7.5% -------------------------------------------------------------------- oracle-error [9] 100.0% [13] 612(3.9%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 map [18] 52.9% loop [72] 47.1% -------------------------------------------------------------------- eval-errors [10] 100.0% [14] 320(2.0%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [25] 100.0% -------------------------------------------------------------------- for-loop [11] 100.0% [15] 10956(69.4%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [20] 92.3% finalize-iter! [21] 5.1% gen-series! [23] 2.6% -------------------------------------------------------------------- loop [12] 100.0% [16] 2510(15.9%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [25] 100.0% -------------------------------------------------------------------- loop [12] 100.0% [17] 838(5.3%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [71] 100.0% -------------------------------------------------------------------- for-loop [13] 100.0% [18] 324(2.1%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 ??? [22] 100.0% -------------------------------------------------------------------- loop [12] 100.0% [19] 272(1.7%) 272(1.7%) ordinary-value? ...rbie/develop/src/float.rkt:54:0 -------------------------------------------------------------------- run-iter! [15] 100.0% [20] 10114(64.1%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [24] 100.0% -------------------------------------------------------------------- run-iter! [15] 100.0% [21] 558(3.5%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [26] 100.0% -------------------------------------------------------------------- map [18] 100.0% [22] 324(2.1%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [25] 100.0% -------------------------------------------------------------------- run-iter! [15] 100.0% [23] 284(1.8%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [27] 100.0% -------------------------------------------------------------------- simplify! [20] 100.0% [24] 10114(64.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [28] 66.5% loop [29] 28.0% one-iter [33] 5.5% -------------------------------------------------------------------- for-loop [14] 8.6% ??? [22] 8.7% ??? [6] 15.1% loop [16] 67.6% [25] 3714(23.5%) 608(3.9%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [71] 46.5% ??? [30] 37.1% -------------------------------------------------------------------- variable? [3] 33.1% finalize-iter! [21] 66.9% [26] 834(5.3%) 276(1.7%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [31] 66.9% -------------------------------------------------------------------- gen-series! [23] 100.0% [27] 284(1.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [32] 100.0% -------------------------------------------------------------------- ??? [24] 100.0% [28] 6730(42.6%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [33] 100.0% -------------------------------------------------------------------- ??? [24] 100.0% [29] 2828(17.9%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [34] 90.6% debug-print [39] 9.4% -------------------------------------------------------------------- ??? [25] 100.0% [30] 1378(8.7%) 0(0.0%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [35] 61.1% ??? [38] 20.2% ??? [71] 18.7% -------------------------------------------------------------------- ??? [26] 100.0% [31] 558(3.5%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [36] 100.0% -------------------------------------------------------------------- for-loop [27] 100.0% [32] 284(1.8%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [37] 100.0% -------------------------------------------------------------------- ??? [24] 7.6% for-loop [28] 92.4% [33] 7286(46.1%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 for-loop [40] 63.8% find-matches [41] 36.2% -------------------------------------------------------------------- loop [29] 100.0% [34] 2562(16.2%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 loop [42] 48.9% argmin [45] 21.0% for-loop [51] 20.5% for-loop [47] 9.7% -------------------------------------------------------------------- ??? [30] 100.0% [35] 842(5.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-div [44] 70.8% ival-add [48] 29.2% -------------------------------------------------------------------- for-loop [31] 100.0% [36] 558(3.5%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [43] 100.0% -------------------------------------------------------------------- taylor-alt [32] 100.0% [37] 284(1.8%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [71] 100.0% -------------------------------------------------------------------- ??? [30] 100.0% [38] 278(1.8%) 0(0.0%) ??? ...herbie/develop/src/syntax/syntax.rkt:317:17 return/no-unsupplied [93] 100.0% -------------------------------------------------------------------- loop [29] 100.0% [39] 266(1.7%) 0(0.0%) debug-print .../herbie/develop/src/debug.rkt:110:0 ??? [46] 100.0% -------------------------------------------------------------------- one-iter [33] 100.0% [40] 4648(29.4%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [49] 100.0% -------------------------------------------------------------------- one-iter [33] 100.0% [41] 2638(16.7%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [50] 100.0% -------------------------------------------------------------------- for-loop [34] 100.0% [42] 1252(7.9%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [52] 59.3% for-loop [51] 40.7% -------------------------------------------------------------------- ??? [6] 33.6% atab-add-altn [36] 66.4% [43] 840(5.3%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [53] 66.7% eval-prog [54] 33.3% -------------------------------------------------------------------- ??? [35] 100.0% [44] 596(3.8%) 326(2.1%) ival-div ...rbie/develop/src/biginterval.rkt:150:0 bfdiv [90] 45.3% -------------------------------------------------------------------- for-loop [34] 100.0% [45] 538(3.4%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 for-loop [51] 51.7% expression-cost [52] 48.3% -------------------------------------------------------------------- debug-print [39] 100.0% [46] 266(1.7%) 266(1.7%) ??? .../contract/private/arrow-val-first.rkt:428:3 -------------------------------------------------------------------- for-loop [34] 100.0% [47] 248(1.6%) 248(1.6%) for-loop ...e/develop/src/core/simplify.rkt:153:16 -------------------------------------------------------------------- ??? [35] 100.0% [48] 246(1.6%) 0(0.0%) ival-add ...erbie/develop/src/biginterval.rkt:96:0 bfdiv [90] 100.0% -------------------------------------------------------------------- for-loop [40] 100.0% [49] 4648(29.4%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [55] 100.0% -------------------------------------------------------------------- for-loop [50] 50.0% find-matches [41] 50.0% [50] 2638(16.7%) 612(3.9%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [50] 50.0% match-e [60] 38.4% -------------------------------------------------------------------- argmin [45] 21.2% loop [42] 38.9% for-loop [34] 39.9% [51] 1312(8.3%) 504(3.2%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [57] 61.6% -------------------------------------------------------------------- argmin [45] 25.9% loop [42] 74.1% [52] 1002(6.3%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [56] 100.0% -------------------------------------------------------------------- errors [43] 100.0% [53] 560(3.5%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [6] 100.0% -------------------------------------------------------------------- errors [43] 100.0% [54] 280(1.8%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:130:0 temp68_2 [58] 100.0% -------------------------------------------------------------------- loop [49] 100.0% [55] 4648(29.4%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [59] 87.0% match-e [60] 13.0% -------------------------------------------------------------------- expression-cost [52] 100.0% [56] 1002(6.3%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [61] 100.0% -------------------------------------------------------------------- for-loop [51] 100.0% [57] 808(5.1%) 530(3.4%) table-ref ...es/herbie/develop/src/common.rkt:42:0 dict? [63] 34.4% -------------------------------------------------------------------- eval-prog [54] 100.0% [58] 280(1.8%) 0(0.0%) temp68_2 (unknown source) compile16 [62] 100.0% -------------------------------------------------------------------- apply-match [55] 100.0% [59] 4042(25.6%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [64] 64.0% mk-enode! [67] 22.9% substitute-e [70] 6.8% dedup-children! [79] 6.3% -------------------------------------------------------------------- for-loop [74] 18.1% apply-match [55] 23.0% for-loop [50] 58.9% [60] 2632(16.7%) 1162(7.4%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [65] 66.8% -------------------------------------------------------------------- ??? [71] 11.0% loop [5] 11.0% compile [56] 30.8% ??? [66] 47.1% [61] 1286(8.1%) 1286(8.1%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [66] 47.1% ??? [68] 11.0% -------------------------------------------------------------------- temp68_2 [58] 100.0% [62] 280(1.8%) 0(0.0%) compile16 (unknown source) temp74_0 [69] 100.0% -------------------------------------------------------------------- table-ref [57] 100.0% [63] 278(1.8%) 278(1.8%) dict? ...ollects/racket/private/generic.rkt:146:11 -------------------------------------------------------------------- for-loop [59] 100.0% [64] 2586(16.4%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 loop! [80] 34.3% update-leader! [73] 33.9% dedup-children! [79] 22.2% for-loop [77] 9.6% -------------------------------------------------------------------- match-e [60] 100.0% [65] 2048(13.0%) 1166(7.4%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [74] 37.3% loop [72] 14.8% -------------------------------------------------------------------- hash-ref! [61] 100.0% [66] 1002(6.3%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [61] 100.0% -------------------------------------------------------------------- for-loop [59] 100.0% [67] 926(5.9%) 926(5.9%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 -------------------------------------------------------------------- hash-ref! [61] 100.0% [68] 284(1.8%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:68:15 ??? [71] 100.0% -------------------------------------------------------------------- compile16 [62] 100.0% [69] 280(1.8%) 0(0.0%) temp74_0 (unknown source) expand-single [75] 100.0% -------------------------------------------------------------------- for-loop [59] 33.3% for-loop [76] 66.7% [70] 276(1.7%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [76] 66.7% variable? [3] 33.3% -------------------------------------------------------------------- ??? [68] 3.0% location-do [85] 3.0% for-loop [37] 3.0% ??? [30] 8.3% ??? [17] 27.0% ??? [25] 55.6% [71] 3108(19.7%) 266(1.7%) ??? ...tract/private/arrow-higher-order.rkt:357:33 mk-ival [78] 36.2% ->flonum [82] 19.4% sample-multi-bounded [83] 18.4% ival-mult [87] 8.3% location-do [85] 3.0% approximate9 [2] 3.0% hash-ref! [61] 3.0% -------------------------------------------------------------------- loop! [80] 4.1% for-loop [65] 4.2% for-loop [13] 24.0% loop [72] 67.7% [72] 1202(7.6%) 288(1.8%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [72] 67.7% foldl [84] 4.2% loop! [80] 4.1% -------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [73] 876(5.5%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [81] 100.0% -------------------------------------------------------------------- for-loop [65] 100.0% [74] 858(5.4%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [60] 100.0% -------------------------------------------------------------------- temp74_0 [69] 100.0% [75] 280(1.8%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [86] 100.0% -------------------------------------------------------------------- substitute-e [70] 100.0% [76] 276(1.7%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 substitute-e [70] 100.0% -------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [77] 248(1.6%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:199:4 dedup-children! [79] 100.0% -------------------------------------------------------------------- ??? [71] 100.0% [78] 1126(7.1%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [88] 100.0% -------------------------------------------------------------------- for-loop [77] 23.0% for-loop [59] 23.6% merge-egraph-nodes! [64] 53.3% [79] 1076(6.8%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [89] 77.0% loop [97] 23.0% -------------------------------------------------------------------- loop [72] 39.6% merge-egraph-nodes! [64] 60.4% [80] 888(5.6%) 0(0.0%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 loop [72] 39.6% custom-set-union [96] 31.3% set [91] 29.1% -------------------------------------------------------------------- update-leader! [73] 100.0% [81] 876(5.5%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 for-loop [92] 65.8% hash-update! [99] 34.2% -------------------------------------------------------------------- ??? [71] 100.0% [82] 602(3.8%) 602(3.8%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 -------------------------------------------------------------------- ??? [71] 100.0% [83] 572(3.6%) 286(1.8%) sample-multi-bounded ...evelop/src/points.rkt:16:0 return/no-unsupplied [93] 50.0% -------------------------------------------------------------------- loop [72] 100.0% [84] 304(1.9%) 0(0.0%) foldl ....0/collects/racket/private/list.rkt:229:4 merge2 [94] 100.0% -------------------------------------------------------------------- ??? [71] 100.0% [85] 284(1.8%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [71] 100.0% -------------------------------------------------------------------- expand-single [75] 100.0% [86] 280(1.8%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [95] 100.0% -------------------------------------------------------------------- ??? [71] 100.0% [87] 258(1.6%) 0(0.0%) ival-mult ...bie/develop/src/biginterval.rkt:114:0 bfdiv [90] 100.0% -------------------------------------------------------------------- mk-ival [78] 100.0% [88] 1126(7.1%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [98] 100.0% -------------------------------------------------------------------- dedup-children! [79] 11.0% loop [89] 89.0% [89] 828(5.2%) 828(5.2%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [89] 89.0% -------------------------------------------------------------------- ival-add [48] 31.8% ival-mult [87] 33.3% ival-div [44] 34.9% [90] 774(4.9%) 0(0.0%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [98] 100.0% -------------------------------------------------------------------- loop! [80] 100.0% [91] 610(3.9%) 610(3.9%) set ...collects/racket/private/set-types.rkt:981:0 -------------------------------------------------------------------- for-loop [81] 100.0% [92] 576(3.6%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [99] 100.0% -------------------------------------------------------------------- ??? [38] 49.3% sample-multi-bounded [83] 50.7% [93] 564(3.6%) 564(3.6%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 -------------------------------------------------------------------- foldl [84] 100.0% [94] 304(1.9%) 304(1.9%) merge2 .../herbie/develop/src/core/ematch.rkt:24:0 -------------------------------------------------------------------- expand-capturing-lifts [86] 100.0% [95] 280(1.8%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [100] 100.0% -------------------------------------------------------------------- loop! [80] 100.0% [96] 278(1.8%) 278(1.8%) custom-set-union ...et/private/set-types.rkt:168:0 -------------------------------------------------------------------- dedup-children! [79] 20.0% loop [97] 80.0% [97] 248(1.6%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [97] 80.0% loop [101] 20.0% -------------------------------------------------------------------- bfdiv [90] 40.7% bf [88] 59.3% [98] 1900(12.0%) 1900(12.0%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 -------------------------------------------------------------------- for-loop [81] 34.2% for-loop [92] 65.8% [99] 876(5.5%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [102] 100.0% -------------------------------------------------------------------- lambda-clause-expander [95] 20.0% for-loop [103] 80.0% [100] 280(1.8%) 0(0.0%) finish-bodys (unknown source) for-loop [103] 100.0% -------------------------------------------------------------------- loop [97] 100.0% [101] 248(1.6%) 248(1.6%) loop (unknown source) -------------------------------------------------------------------- hash-update! [99] 100.0% [102] 876(5.5%) 0(0.0%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [104] 100.0% -------------------------------------------------------------------- finish-bodys [100] 100.0% [103] 280(1.8%) 280(1.8%) for-loop (unknown source) finish-bodys [100] 80.0% -------------------------------------------------------------------- ??? [102] 100.0% [104] 876(5.5%) 876(5.5%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 --------------------------------------------------------------------