Profiling results ----------------- Total cpu time observed: 16400ms (out of 16664ms) Number of samples taken: 59 (once every 278ms) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [4] 100.0% [1] 16400(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% ------------------------------------------------------------------------- match-e [71] 100.0% [2] 278(1.7%) 0(0.0%) variable? .../develop/src/syntax/syntax.rkt:1159:0 ??? [24] 100.0% ------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [3] 16400(100.0%) 0(0.0%) run ...et-7.0/share/pkgs/profile-lib/main.rkt:39:2 ??? [4] 100.0% ------------------------------------------------------------------------- for-loop [55] 1.2% run [3] 49.4% [4] 16400(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.4% run-improve40 [5] 33.2% prepare-points-intervals [6] 13.4% oracle-error [7] 1.5% eval-errors [9] 0.8% ??? [23] 0.7% errors [44] 0.6% ulp-difference [8] 0.6% ------------------------------------------------------------------------- ??? [4] 100.0% [5] 10994(67.0%) 0(0.0%) run-improve40 ...ie/develop/src/mainloop.rkt:336:0 for-loop [10] 100.0% ------------------------------------------------------------------------- ??? [4] 100.0% [6] 4388(26.8%) 0(0.0%) prepare-points-intervals ...p/src/points.rkt:133:0 loop [11] 100.0% ------------------------------------------------------------------------- ??? [4] 100.0% [7] 494(3.0%) 0(0.0%) oracle-error ...erbie/develop/src/points.rkt:212:0 for-loop [12] 100.0% ------------------------------------------------------------------------- ??? [4] 100.0% [8] 276(1.7%) 276(1.7%) ulp-difference ...erbie/develop/src/float.rkt:14:0 ------------------------------------------------------------------------- ??? [4] 100.0% [9] 248(1.5%) 0(0.0%) eval-errors ...herbie/develop/src/points.rkt:203:0 for-loop [13] 100.0% ------------------------------------------------------------------------- run-improve40 [5] 100.0% [10] 10994(67.0%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:351:4 run-iter! [14] 100.0% ------------------------------------------------------------------------- prepare-points-intervals [6] 100.0% [11] 4388(26.8%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:145:4 loop [15] 55.3% ??? [16] 44.7% ------------------------------------------------------------------------- oracle-error [7] 100.0% [12] 494(3.0%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:213:2 loop [27] 50.2% map [17] 49.8% ------------------------------------------------------------------------- eval-errors [9] 100.0% [13] 248(1.5%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:205:2 ??? [23] 100.0% ------------------------------------------------------------------------- for-loop [10] 100.0% [14] 10994(67.0%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:317:0 simplify! [18] 93.8% gen-series! [19] 3.1% finalize-iter! [20] 3.0% ------------------------------------------------------------------------- loop [11] 100.0% [15] 2426(14.8%) 250(1.5%) loop ...htlies/herbie/develop/src/points.rkt:104:2 ??? [23] 68.8% ??? [24] 10.6% ??? [41] 10.3% ------------------------------------------------------------------------- loop [11] 100.0% [16] 1962(12.0%) 306(1.9%) ??? ...ghtlies/herbie/develop/src/points.rkt:129:2 ??? [41] 84.4% ------------------------------------------------------------------------- for-loop [12] 100.0% [17] 246(1.5%) 0(0.0%) map ...t-7.0/collects/racket/private/map.rkt:35:13 ??? [21] 100.0% ------------------------------------------------------------------------- run-iter! [14] 100.0% [18] 10316(62.9%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:213:0 ??? [22] 100.0% ------------------------------------------------------------------------- run-iter! [14] 100.0% [19] 344(2.1%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:149:0 for-loop [25] 100.0% ------------------------------------------------------------------------- run-iter! [14] 100.0% [20] 334(2.0%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:268:0 ??? [24] 100.0% ------------------------------------------------------------------------- map [17] 100.0% [21] 246(1.5%) 0(0.0%) ??? ...htlies/herbie/develop/src/points.rkt:214:26 ??? [23] 100.0% ------------------------------------------------------------------------- simplify! [18] 100.0% [22] 10316(62.9%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:26:0 for-loop [26] 71.6% loop [28] 18.9% one-iter [33] 9.5% ------------------------------------------------------------------------- ??? [21] 9.0% for-loop [13] 9.0% loop [27] 9.0% ??? [4] 12.2% loop [15] 60.8% [23] 2746(16.7%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:146:2 ??? [29] 42.8% loop [27] 30.3% ??? [41] 26.9% ------------------------------------------------------------------------- loop [15] 29.5% variable? [2] 32.0% finalize-iter! [20] 38.5% [24] 868(5.3%) 278(1.7%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [31] 38.5% ??? [32] 29.5% ------------------------------------------------------------------------- gen-series! [19] 100.0% [25] 344(2.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:156:7 taylor-alt [30] 100.0% ------------------------------------------------------------------------- ??? [22] 100.0% [26] 7386(45.0%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:33:2 one-iter [33] 100.0% ------------------------------------------------------------------------- for-loop [80] 0.1% loop! [87] 6.3% for-loop [12] 8.9% ??? [23] 30.0% loop [27] 54.7% [27] 2774(16.9%) 0(0.0%) loop ...-7.0/collects/racket/private/map.rkt:40:19 loop [27] 54.7% ??? [41] 30.0% ??? [23] 8.9% loop! [87] 6.3% foldl [39] 0.1% ------------------------------------------------------------------------- ??? [22] 100.0% [28] 1950(11.9%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:143:2 for-loop [34] 100.0% ------------------------------------------------------------------------- ??? [23] 100.0% [29] 1176(7.2%) 0(0.0%) ??? ...t-7.0/collects/racket/private/kw.rkt:592:14 ??? [35] 51.0% ??? [41] 49.0% ------------------------------------------------------------------------- for-loop [25] 100.0% [30] 344(2.1%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:135:0 for-loop [36] 100.0% ------------------------------------------------------------------------- ??? [24] 100.0% [31] 334(2.0%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:56:2 atab-add-altn [37] 100.0% ------------------------------------------------------------------------- ??? [24] 100.0% [32] 256(1.6%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:519:4 ??? [38] 100.0% ------------------------------------------------------------------------- ??? [22] 11.7% for-loop [26] 88.3% [33] 8366(51.0%) 0(0.0%) one-iter ...bie/develop/src/core/simplify.rkt:86:0 for-loop [40] 64.6% find-matches [42] 31.7% for-loop [46] 3.7% ------------------------------------------------------------------------- loop [28] 100.0% [34] 1950(11.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:149:4 argmin [43] 58.8% for-loop [47] 14.7% expression-cost [54] 13.8% loop [48] 12.7% ------------------------------------------------------------------------- ??? [29] 100.0% [35] 600(3.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ival-sub [45] 100.0% ------------------------------------------------------------------------- taylor-alt [30] 100.0% [36] 344(2.1%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:141:6 ??? [41] 100.0% ------------------------------------------------------------------------- for-loop [31] 100.0% [37] 334(2.0%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:202:0 errors [44] 100.0% ------------------------------------------------------------------------- ??? [32] 100.0% [38] 256(1.6%) 256(1.6%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ------------------------------------------------------------------------- loop [27] 100.0% [39] 250(1.5%) 250(1.5%) foldl ....0/collects/racket/private/list.rkt:229:4 ------------------------------------------------------------------------- one-iter [33] 100.0% [40] 5406(33.0%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:95:2 loop [49] 100.0% ------------------------------------------------------------------------- location-do [57] 3.9% for-loop [36] 3.9% loop [15] 5.7% ??? [29] 13.1% ??? [23] 16.8% loop [27] 18.9% ??? [16] 37.7% [41] 4396(26.8%) 1738(10.6%) ??? ...tract/private/arrow-higher-order.rkt:357:33 ->flonum [51] 22.6% sample-multi-bounded [53] 18.7% mk-ival [59] 5.7% ival-mult [60] 5.6% location-do [57] 3.9% approximate9 [56] 3.9% ------------------------------------------------------------------------- one-iter [33] 100.0% [42] 2654(16.2%) 0(0.0%) find-matches ...develop/src/core/simplify.rkt:56:0 for-loop [50] 100.0% ------------------------------------------------------------------------- for-loop [34] 100.0% [43] 1146(7.0%) 0(0.0%) argmin ...acket-7.0/collects/racket/list.rkt:765:0 for-loop [52] 75.9% expression-cost [54] 24.1% ------------------------------------------------------------------------- ??? [4] 45.2% atab-add-altn [37] 54.8% [44] 610(3.7%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:228:0 for-loop [55] 100.0% ------------------------------------------------------------------------- ??? [35] 100.0% [45] 600(3.7%) 328(2.0%) ival-sub ...rbie/develop/src/biginterval.rkt:102:0 bfmul [65] 45.3% ------------------------------------------------------------------------- one-iter [33] 100.0% [46] 306(1.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:111:2 set-precompute! [58] 100.0% ------------------------------------------------------------------------- for-loop [34] 100.0% [47] 286(1.7%) 286(1.7%) for-loop ...e/develop/src/core/simplify.rkt:153:16 ------------------------------------------------------------------------- for-loop [34] 100.0% [48] 248(1.5%) 0(0.0%) loop .../racket-7.0/collects/racket/list.rkt:751:4 expression-cost [54] 100.0% ------------------------------------------------------------------------- for-loop [40] 100.0% [49] 5406(33.0%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:100:4 apply-match [61] 100.0% ------------------------------------------------------------------------- for-loop [50] 38.6% find-matches [42] 61.4% [50] 2654(16.2%) 950(5.8%) for-loop ...bie/develop/src/core/simplify.rkt:58:8 for-loop [50] 38.6% match-e [71] 32.1% ------------------------------------------------------------------------- ??? [41] 100.0% [51] 992(6.0%) 992(6.0%) ->flonum ...s/herbie/develop/src/programs.rkt:38:0 ------------------------------------------------------------------------- argmin [43] 100.0% [52] 870(5.3%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:205:2 table-ref [62] 100.0% ------------------------------------------------------------------------- ??? [41] 100.0% [53] 824(5.0%) 0(0.0%) sample-multi-bounded ...evelop/src/points.rkt:16:0 loop [64] 69.9% return/no-unsupplied [69] 30.1% ------------------------------------------------------------------------- loop [48] 31.2% for-loop [34] 34.0% argmin [43] 34.8% [54] 794(4.8%) 0(0.0%) expression-cost .../develop/src/programs.rkt:204:0 compile [63] 100.0% ------------------------------------------------------------------------- errors [44] 100.0% [55] 610(3.7%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:230:2 ??? [4] 100.0% ------------------------------------------------------------------------- ??? [41] 100.0% [56] 344(2.1%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 for-loop [66] 100.0% ------------------------------------------------------------------------- ??? [41] 100.0% [57] 344(2.1%) 0(0.0%) location-do ...rbie/develop/src/programs.rkt:111:0 ??? [41] 100.0% ------------------------------------------------------------------------- for-loop [46] 100.0% [58] 306(1.9%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:117:0 for-loop [67] 100.0% ------------------------------------------------------------------------- ??? [41] 100.0% [59] 252(1.5%) 0(0.0%) mk-ival ...herbie/develop/src/biginterval.rkt:59:0 bf [68] 100.0% ------------------------------------------------------------------------- ??? [41] 100.0% [60] 246(1.5%) 0(0.0%) ival-mult ...bie/develop/src/biginterval.rkt:114:0 bfmul [65] 100.0% ------------------------------------------------------------------------- loop [49] 100.0% [61] 5406(33.0%) 0(0.0%) apply-match .../develop/src/core/simplify.rkt:65:0 for-loop [70] 90.8% match-e [71] 9.2% ------------------------------------------------------------------------- for-loop [52] 100.0% [62] 870(5.3%) 554(3.4%) table-ref ...es/herbie/develop/src/common.rkt:42:0 assoc-iterate-first [76] 36.3% ------------------------------------------------------------------------- expression-cost [54] 100.0% [63] 794(4.8%) 0(0.0%) compile ...s/herbie/develop/src/programs.rkt:181:0 hash-ref! [72] 100.0% ------------------------------------------------------------------------- sample-multi-bounded [53] 100.0% [64] 576(3.5%) 0(0.0%) loop ...ghtlies/herbie/develop/src/points.rkt:45:6 random-exp [73] 100.0% ------------------------------------------------------------------------- ival-mult [60] 47.5% ival-sub [45] 52.5% [65] 518(3.2%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [74] 52.5% ??? [78] 47.5% ------------------------------------------------------------------------- approximate9 [56] 100.0% [66] 344(2.1%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:30:18 taylor [75] 100.0% ------------------------------------------------------------------------- set-precompute! [58] 100.0% [67] 306(1.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:119:2 setfindf [77] 100.0% ------------------------------------------------------------------------- mk-ival [59] 100.0% [68] 252(1.5%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [74] 100.0% ------------------------------------------------------------------------- sample-multi-bounded [53] 100.0% [69] 248(1.5%) 248(1.5%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------- apply-match [61] 100.0% [70] 4906(29.9%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:78:2 merge-egraph-nodes! [79] 68.3% dedup-children! [81] 26.6% substitute-e [86] 5.1% ------------------------------------------------------------------------- apply-match [61] 17.0% for-loop [88] 39.7% for-loop [50] 43.3% [71] 2204(13.4%) 0(0.0%) match-e ...herbie/develop/src/core/ematch.rkt:39:0 for-loop [80] 82.3% make-sequence [85] 13.5% variable? [2] 4.2% ------------------------------------------------------------------------- compile [63] 49.6% ??? [82] 50.4% [72] 794(4.8%) 794(4.8%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [82] 50.4% ------------------------------------------------------------------------- loop [64] 100.0% [73] 576(3.5%) 576(3.5%) random-exp .../herbie/develop/src/common.rkt:173:0 ------------------------------------------------------------------------- bf [68] 48.1% bfmul [65] 51.9% [74] 524(3.2%) 524(3.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------- for-loop [66] 100.0% [75] 344(2.1%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:170:0 taylor-invert [83] 100.0% ------------------------------------------------------------------------- table-ref [62] 100.0% [76] 316(1.9%) 316(1.9%) assoc-iterate-first ...cket/private/dict.rkt:166:0 ------------------------------------------------------------------------- for-loop [67] 100.0% [77] 306(1.9%) 0(0.0%) setfindf ...es/herbie/develop/src/common.rkt:139:0 for-loop [84] 100.0% ------------------------------------------------------------------------- bfmul [65] 100.0% [78] 246(1.5%) 246(1.5%) ??? /opt/racket-7.0/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------- for-loop [94] 3.7% merge-egraph-nodes! [79] 3.8% for-loop [70] 92.5% [79] 3350(20.4%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:145:0 loop! [87] 62.7% update-leader! [89] 29.8% merge-egraph-nodes! [79] 3.8% for-loop [94] 3.7% ------------------------------------------------------------------------- match-e [71] 100.0% [80] 1906(11.6%) 1378(8.4%) for-loop ...rbie/develop/src/core/ematch.rkt:52:11 for-loop [88] 50.7% loop [27] 13.1% ------------------------------------------------------------------------- for-loop [70] 100.0% [81] 1304(8.0%) 0(0.0%) dedup-children! ...evelop/src/core/enode.rkt:199:0 loop [90] 59.4% loop [91] 40.6% ------------------------------------------------------------------------- hash-ref! [72] 100.0% [82] 546(3.3%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:189:5 hash-ref! [72] 100.0% ------------------------------------------------------------------------- taylor [75] 100.0% [83] 344(2.1%) 0(0.0%) taylor-invert ...develop/src/core/taylor.rkt:318:0 simplify [92] 100.0% ------------------------------------------------------------------------- setfindf [77] 100.0% [84] 306(1.9%) 306(1.9%) for-loop ...es/herbie/develop/src/common.rkt:140:2 ------------------------------------------------------------------------- match-e [71] 100.0% [85] 298(1.8%) 298(1.8%) make-sequence ...ects/racket/private/for.rkt:528:2 ------------------------------------------------------------------------- for-loop [70] 100.0% [86] 252(1.5%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:64:0 for-loop [93] 100.0% ------------------------------------------------------------------------- loop [27] 34.6% merge-egraph-nodes! [79] 65.4% [87] 2228(13.6%) 0(0.0%) loop! ...s/herbie/develop/src/core/enode.rkt:191:2 set [95] 41.4% loop [27] 34.6% custom-set-union [97] 24.0% ------------------------------------------------------------------------- for-loop [80] 100.0% [88] 1656(10.1%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:58:37 match-e [71] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [79] 100.0% [89] 1122(6.8%) 0(0.0%) update-leader! ...evelop/src/core/egraph.rkt:213:0 for-loop [96] 100.0% ------------------------------------------------------------------------- dedup-children! [81] 14.9% loop [90] 85.1% [90] 774(4.7%) 774(4.7%) loop ...racket-7.0/collects/racket/list.rkt:434:17 loop [90] 85.1% ------------------------------------------------------------------------- dedup-children! [81] 15.3% loop [91] 84.7% [91] 530(3.2%) 0(0.0%) loop ...racket-7.0/collects/racket/list.rkt:417:34 loop [91] 84.7% loop [98] 15.3% ------------------------------------------------------------------------- taylor-invert [83] 100.0% [92] 344(2.1%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 make-multiplication-node [99] 100.0% ------------------------------------------------------------------------- substitute-e [86] 100.0% [93] 252(1.5%) 0(0.0%) for-loop ...rbie/develop/src/core/ematch.rkt:73:24 mk-enode! [100] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [79] 100.0% [94] 246(1.5%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:199:4 merge-egraph-nodes! [79] 100.0% ------------------------------------------------------------------------- loop! [87] 100.0% [95] 1694(10.3%) 1694(10.3%) set ...collects/racket/private/set-types.rkt:981:0 ------------------------------------------------------------------------- update-leader! [89] 100.0% [96] 1122(6.8%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:218:6 for-loop [101] 78.1% hash-update! [105] 21.9% ------------------------------------------------------------------------- loop! [87] 100.0% [97] 534(3.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [103] 51.7% for-loop [104] 48.3% ------------------------------------------------------------------------- loop [91] 100.0% [98] 530(3.2%) 530(3.2%) loop (unknown source) ------------------------------------------------------------------------- simplify [92] 100.0% [99] 344(2.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:234:0 make-multiplication-subnode [102]100.0% ------------------------------------------------------------------------- for-loop [93] 100.0% [100] 252(1.5%) 252(1.5%) mk-enode! ...rbie/develop/src/core/egraph.rkt:99:0 ------------------------------------------------------------------------- for-loop [96] 100.0% [101] 876(5.3%) 0(0.0%) for-loop ...rbie/develop/src/core/egraph.rkt:219:8 hash-update! [105] 100.0% ------------------------------------------------------------------------- make-multiplication-node [99] 100.0% [102] 344(2.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:244:0 group-by61 [106] 100.0% ------------------------------------------------------------------------- custom-set-union [97] 100.0% [103] 276(1.7%) 276(1.7%) for-loop ...cts/racket/private/set-types.rkt:152:2 ------------------------------------------------------------------------- custom-set-union [97] 100.0% [104] 258(1.6%) 258(1.6%) for-loop ...cts/racket/private/set-types.rkt:174:3 ------------------------------------------------------------------------- for-loop [96] 21.9% for-loop [101] 78.1% [105] 1122(6.8%) 0(0.0%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [107] 100.0% ------------------------------------------------------------------------- make-multiplication-subnode [102]100.0% [106] 344(2.1%) 0(0.0%) group-by61 ...t-7.0/collects/racket/list.rkt:771:0 hash-update [108] 100.0% ------------------------------------------------------------------------- hash-update! [105] 100.0% [107] 1122(6.8%) 264(1.6%) ??? ...s/herbie/develop/src/core/egraph.rkt:221:24 for-loop [109] 76.5% ------------------------------------------------------------------------- group-by61 [106] 100.0% [108] 344(2.1%) 344(2.1%) hash-update ...acket/private/more-scheme.rkt:358:4 ------------------------------------------------------------------------- ??? [107] 100.0% [109] 858(5.2%) 858(5.2%) for-loop ...bie/develop/src/core/egraph.rkt:222:26 -------------------------------------------------------------------------