Profiling results ----------------- Total cpu time observed: 63520ms (out of 63696ms) Number of samples taken: 305 (once every 208ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 203 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== [1] 63520(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [14] 100.0% -------------------------------------------------------------------------- ??? [137] 100.0% [2] 13108(20.6%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [15] 82.8% for-loop [18] 14.2% taylor-quotient [27] 3.1% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [3] 9174(14.4%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [16] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [4] 8820(13.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [137] 72.2% hash-ref! [148] 27.8% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [5] 7966(12.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [17] 100.0% -------------------------------------------------------------------------- map [91] 17.1% for-loop [16] 22.1% hash-ref! [148] 60.8% [6] 3650(5.7%) 200(0.3%) f61 (unknown source) eval-const-expr [33] 66.5% composed [20] 28.1% -------------------------------------------------------------------------- loop [113] 14.6% for-loop [185] 85.4% [7] 1412(2.2%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [19] 100.0% -------------------------------------------------------------------------- for-loop [185] 100.0% [8] 1018(1.6%) 206(0.3%) expand-implicit (unknown source) resolve+shift28 [140] 60.1% syntax-disarm3 [22] 19.6% -------------------------------------------------------------------------- simplify-node [104] 100.0% [9] 424(0.7%) 0(0.0%) combine-mterms ...ndroot/src/core/reduce.rkt:193:0 for-loop [21] 100.0% -------------------------------------------------------------------------- for-loop [185] 100.0% [10] 400(0.6%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [140] 100.0% -------------------------------------------------------------------------- taylor [105] 100.0% [11] 224(0.4%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 f40 [29] 100.0% -------------------------------------------------------------------------- matcher [173] 100.0% [12] 200(0.3%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [23] 100.0% -------------------------------------------------------------------------- loop [113] 100.0% [13] 200(0.3%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:74:0 for-loop [24] 100.0% -------------------------------------------------------------------------- ??? [1] 100.0% [14] 63520(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [25] 100.0% -------------------------------------------------------------------------- approximate9 [2] 100.0% [15] 10850(17.1%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [148] 81.3% ??? [137] 18.7% -------------------------------------------------------------------------- ??? [3] 100.0% [16] 9174(14.4%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [148] 66.1% ??? [26] 24.5% f40 [29] 6.6% f61 [6] 2.8% -------------------------------------------------------------------------- ??? [5] 100.0% [17] 7966(12.5%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [148] 100.0% -------------------------------------------------------------------------- approximate9 [2] 100.0% [18] 1858(2.9%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor-quotient [27] 77.2% taylor [105] 22.8% -------------------------------------------------------------------------- syntax-e [7] 100.0% [19] 1412(2.2%) 0(0.0%) syntax-e/no-taint (unknown source) loop [113] 100.0% -------------------------------------------------------------------------- f61 [6] 100.0% [20] 1024(1.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [129] 100.0% -------------------------------------------------------------------------- combine-mterms [9] 100.0% [21] 424(0.7%) 200(0.3%) for-loop ...bie/findroot/src/core/reduce.rkt:197:5 hash-ref! [148] 52.8% -------------------------------------------------------------------------- expand-implicit [8] 100.0% [22] 200(0.3%) 200(0.3%) syntax-disarm3 (unknown source) -------------------------------------------------------------------------- ??? [12] 100.0% [23] 200(0.3%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [148] 100.0% -------------------------------------------------------------------------- all-critical-subexpressions [13] 100.0% [24] 200(0.3%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:81:2 free-variables [129] 100.0% -------------------------------------------------------------------------- profile-thunk16 [14] 100.0% [25] 63520(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [28] 100.0% -------------------------------------------------------------------------- for-loop [16] 100.0% [26] 5924(9.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [148] 100.0% -------------------------------------------------------------------------- taylor [105] 8.4% approximate9 [2] 15.0% hash-ref! [148] 22.7% for-loop [18] 53.9% [27] 2662(4.2%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [31] 68.1% f40 [29] 23.5% parse-loop74 [30] 8.4% -------------------------------------------------------------------------- for-loop [112] 4.7% run [25] 95.3% [28] 63520(100.0%) 1838(2.9%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [37] 49.7% run-improve47 [32] 35.1% oracle-error [34] 6.0% ??? [139] 3.2% get-final-combination [35] 2.4% errors [102] 1.2% eval-errors [109] 0.6% baseline-error [36] 0.3% -------------------------------------------------------------------------- ??? [137] 0.5% taylor-invert [11] 3.5% taylor-quotient [27] 3.9% for-loop [16] 4.1% hash-ref! [148] 41.8% map [91] 46.2% [29] 6324(10.0%) 0(0.0%) f40 (unknown source) map [91] 100.0% -------------------------------------------------------------------------- taylor-quotient [27] 5.1% map [91] 37.3% hash-ref! [148] 57.5% [30] 4358(6.9%) 400(0.6%) parse-loop74 (unknown source) eval-const-expr [33] 90.8% -------------------------------------------------------------------------- taylor-quotient [27] 100.0% [31] 1812(2.9%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [148] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [28] 100.0% [32] 24422(38.4%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [38] 96.7% prepare-points-intervals [37] 3.3% -------------------------------------------------------------------------- f61 [6] 38.0% parse-loop74 [30] 62.0% [33] 6384(10.1%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [111] 79.9% loop [113] 10.7% eval [41] 6.3% eval-one-top12 [42] 3.1% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [28] 100.0% [34] 3830(6.0%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [39] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [28] 100.0% [35] 1810(2.8%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [40] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [28] 100.0% [36] 202(0.3%) 0(0.0%) baseline-error ...ie/findroot/src/points.rkt:181:0 argmin [85] 100.0% -------------------------------------------------------------------------- run-improve47 [32] 2.5% .../more-scheme.rkt:261:28 [28] 97.5% [37] 32358(50.9%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [43] 100.0% -------------------------------------------------------------------------- run-improve47 [32] 100.0% [38] 23626(37.2%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [44] 100.0% -------------------------------------------------------------------------- oracle-error [34] 100.0% [39] 3830(6.0%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [113] 78.9% map [91] 21.1% -------------------------------------------------------------------------- get-final-combination [35] 100.0% [40] 1810(2.8%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [45] 89.0% loop [113] 11.0% -------------------------------------------------------------------------- eval-const-expr [33] 100.0% [41] 400(0.6%) 200(0.3%) eval (unknown source) add-ns-scopes [46] 50.0% -------------------------------------------------------------------------- eval-const-expr [33] 100.0% [42] 200(0.3%) 0(0.0%) eval-one-top12 (unknown source) for-loop [185] 100.0% -------------------------------------------------------------------------- prepare-points-intervals [37] 100.0% [43] 32358(50.9%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [47] 97.3% ??? [53] 2.7% -------------------------------------------------------------------------- for-loop [38] 100.0% [44] 23626(37.2%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [48] 56.4% finalize-iter! [49] 30.2% simplify! [51] 5.8% choose-best-alt! [52] 4.2% localize! [54] 1.7% gen-rewrites! [55] 1.7% -------------------------------------------------------------------------- infer-splitpoints [40] 100.0% [45] 1610(2.5%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [50] 100.0% -------------------------------------------------------------------------- eval [41] 100.0% [46] 200(0.3%) 200(0.3%) add-ns-scopes (unknown source) -------------------------------------------------------------------------- loop [43] 100.0% [47] 31490(49.6%) 640(1.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [56] 87.9% ??? [137] 5.8% real->precision [62] 2.8% ??? [58] 1.5% -------------------------------------------------------------------------- run-iter! [44] 100.0% [48] 13316(21.0%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [57] 100.0% -------------------------------------------------------------------------- run-iter! [44] 100.0% [49] 7126(11.2%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [58] 100.0% -------------------------------------------------------------------------- for-loop [45] 100.0% [50] 1610(2.5%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [60] 75.0% sort-context-on-expr [64] 12.5% map [91] 12.4% -------------------------------------------------------------------------- run-iter! [44] 100.0% [51] 1380(2.2%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [59] 100.0% -------------------------------------------------------------------------- run-iter! [44] 100.0% [52] 1004(1.6%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [61] 100.0% -------------------------------------------------------------------------- loop [43] 100.0% [53] 868(1.4%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [131] 74.2% loop [113] 25.8% -------------------------------------------------------------------------- run-iter! [44] 100.0% [54] 400(0.6%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [63] 100.0% -------------------------------------------------------------------------- run-iter! [44] 100.0% [55] 400(0.6%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [65] 50.0% append-map [114] 50.0% -------------------------------------------------------------------------- loop [47] 100.0% [56] 27688(43.6%) 8116(12.8%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sin [67] 39.4% ival-cos [69] 24.3% ival-atan2 [71] 4.6% -------------------------------------------------------------------------- gen-series! [48] 100.0% [57] 13316(21.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [66] 100.0% -------------------------------------------------------------------------- free-variables [129] 5.0% loop [47] 5.7% finalize-iter! [49] 89.3% [58] 7984(12.6%) 858(1.4%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [68] 89.3% -------------------------------------------------------------------------- simplify! [51] 100.0% [59] 1380(2.2%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [70] 100.0% -------------------------------------------------------------------------- option-on-expr [50] 100.0% [60] 1208(1.9%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [102] 100.0% -------------------------------------------------------------------------- choose-best-alt! [52] 100.0% [61] 1004(1.6%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [72] 100.0% -------------------------------------------------------------------------- loop [47] 100.0% [62] 872(1.4%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [137] 71.6% ??? [73] 28.4% -------------------------------------------------------------------------- localize! [54] 100.0% [63] 400(0.6%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [148] 100.0% -------------------------------------------------------------------------- option-on-expr [50] 100.0% [64] 202(0.3%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [74] 100.0% -------------------------------------------------------------------------- gen-rewrites! [55] 100.0% [65] 200(0.3%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [75] 100.0% -------------------------------------------------------------------------- for-loop [57] 100.0% [66] 13316(21.0%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [76] 100.0% -------------------------------------------------------------------------- ??? [56] 100.0% [67] 10916(17.2%) 5366(8.4%) ival-sin ...bie/findroot/src/biginterval.rkt:304:0 pi.bf [78] 21.7% bfsub [164] 17.2% bfsin [80] 7.9% bffloor [81] 4.1% -------------------------------------------------------------------------- ??? [58] 100.0% [68] 7126(11.2%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [77] 60.5% errors [102] 25.5% loop [82] 11.3% loop [89] 2.8% -------------------------------------------------------------------------- ??? [56] 100.0% [69] 6722(10.6%) 3154(5.0%) ival-cos ...bie/findroot/src/biginterval.rkt:287:0 pi.bf [78] 18.8% bfeven? [83] 9.6% bffloor [81] 9.0% bfsin [80] 6.5% bfsub [164] 5.9% bfodd? [87] 3.3% -------------------------------------------------------------------------- ??? [59] 100.0% [70] 1380(2.2%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [79] 100.0% -------------------------------------------------------------------------- ??? [56] 100.0% [71] 1274(2.0%) 1066(1.7%) ival-atan2 ...e/findroot/src/biginterval.rkt:336:0 pi.bf [78] 16.3% -------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [61] 100.0% [72] 1004(1.6%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [84] 60.2% argmin [85] 39.8% -------------------------------------------------------------------------- real->precision [62] 100.0% [73] 248(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:770:8 bigvalue? [86] 100.0% -------------------------------------------------------------------------- sort-context-on-expr [64] 100.0% [74] 202(0.3%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [88] 100.0% -------------------------------------------------------------------------- for-loop [65] 100.0% [75] 200(0.3%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [90] 100.0% -------------------------------------------------------------------------- taylor-alt [66] 100.0% [76] 13316(21.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [137] 100.0% -------------------------------------------------------------------------- for-loop [68] 100.0% [77] 4308(6.8%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [102] 100.0% -------------------------------------------------------------------------- ival-atan2 [71] 5.4% ival-cos [69] 32.9% ival-sin [67] 61.7% [78] 3834(6.0%) 0(0.0%) pi.bf ...lib/math/private/bigfloat/mpfr.rkt:1012:4 new-mpfr [174] 54.5% ??? [186] 45.5% -------------------------------------------------------------------------- egraph-run [70] 100.0% [79] 1380(2.2%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [92] 100.0% -------------------------------------------------------------------------- ival-cos [69] 33.4% ival-sin [67] 66.6% [80] 1298(2.0%) 214(0.3%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [174] 50.7% ??? [186] 32.8% -------------------------------------------------------------------------- ival-sin [67] 42.5% ival-cos [69] 57.5% [81] 1050(1.7%) 0(0.0%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:730:4 new-mpfr [174] 57.9% ??? [186] 42.1% -------------------------------------------------------------------------- for-loop [68] 100.0% [82] 802(1.3%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [96] 25.2% map [91] 24.9% loop [99] 24.9% loop [100] 24.9% -------------------------------------------------------------------------- ival-cos [69] 100.0% [83] 648(1.0%) 0(0.0%) bfeven? ...ib/math/private/bigfloat/mpfr.rkt:814:0 size+limbs->integer [94] 69.1% new-mpz [95] 30.9% -------------------------------------------------------------------------- ??? [72] 100.0% [84] 604(1.0%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [93] 100.0% -------------------------------------------------------------------------- baseline-error [36] 33.6% ??? [72] 66.4% [85] 602(0.9%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [93] 66.4% ??? [98] 33.6% -------------------------------------------------------------------------- ??? [73] 100.0% [86] 248(0.4%) 248(0.4%) bigvalue? ...ie/findroot/src/syntax/types.rkt:19:0 -------------------------------------------------------------------------- ival-cos [69] 100.0% [87] 222(0.3%) 0(0.0%) bfodd? ...lib/math/private/bigfloat/mpfr.rkt:817:0 new-mpz [95] 100.0% -------------------------------------------------------------------------- ??? [74] 100.0% [88] 202(0.3%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 loop [97] 100.0% -------------------------------------------------------------------------- for-loop [68] 100.0% [89] 200(0.3%) 200(0.3%) loop ...erbie/findroot/src/core/alt-table.rkt:92:2 -------------------------------------------------------------------------- rewrite-expression-head24 [75] 20.0% matcher [173] 80.0% [90] 200(0.3%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [101] 100.0% -------------------------------------------------------------------------- loop [82] 2.3% option-on-expr [50] 2.3% parse-loop15 [169] 4.6% for-loop [39] 9.2% taylor [105] 11.2% f40 [29] 70.5% [91] 8784(13.8%) 408(0.6%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f40 [29] 31.7% parse-loop74 [30] 16.2% taylor [105] 10.4% simplify-node [104] 9.1% ??? [103] 7.5% loop [107] 7.3% ??? [127] 4.6% hash-ref! [148] 4.1% f61 [6] 3.2% simplify* [108] 3.2% -------------------------------------------------------------------------- egraph-add-exprs [79] 100.0% [92] 1380(2.2%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [106] 100.0% -------------------------------------------------------------------------- argmin [85] 39.8% loop [84] 60.2% [93] 1004(1.6%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [102] 100.0% -------------------------------------------------------------------------- bfeven? [83] 100.0% [94] 448(0.7%) 448(0.7%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 -------------------------------------------------------------------------- bfeven? [83] 47.4% bfodd? [87] 52.6% [95] 422(0.7%) 422(0.7%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 -------------------------------------------------------------------------- loop [82] 100.0% [96] 202(0.3%) 202(0.3%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 -------------------------------------------------------------------------- generic-sort/key [88] 100.0% [97] 202(0.3%) 202(0.3%) loop ...7.5/collects/racket/private/sort.rkt:96:12 -------------------------------------------------------------------------- argmin [85] 100.0% [98] 202(0.3%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:182:27 eval-errors [109] 100.0% -------------------------------------------------------------------------- loop [82] 33.3% loop [99] 66.7% [99] 200(0.3%) 200(0.3%) loop ...racket-7.5/collects/racket/list.rkt:417:34 loop [99] 66.7% -------------------------------------------------------------------------- loop [82] 3.2% loop [100] 96.8% [100] 200(0.3%) 200(0.3%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [100] 96.8% -------------------------------------------------------------------------- rewriter [90] 100.0% [101] 200(0.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [148] 80.0% for-loop [110] 20.0% -------------------------------------------------------------------------- ??? [93] 10.4% for-loop [60] 12.5% .../more-scheme.rkt:261:28 [28] 13.4% for-loop [68] 18.9% atab-add-altn [77] 44.8% [102] 9626(15.2%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [112] 68.3% temp85_0 [111] 27.4% eval-prog [120] 2.2% loop [113] 2.1% -------------------------------------------------------------------------- map [91] 100.0% [103] 1816(2.9%) 200(0.3%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [115] 89.0% -------------------------------------------------------------------------- hash-ref! [148] 12.6% parse-loop368 [130] 13.0% map [91] 74.4% [104] 1632(2.6%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 append-map [114] 50.2% gather-multiplicative-terms [117] 24.5% combine-mterms [9] 13.0% combine-aterms [125] 12.3% -------------------------------------------------------------------------- for-loop [18] 4.7% map [91] 16.6% hash-ref! [148] 22.4% taylor [105] 56.2% [105] 1474(2.3%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [105] 56.2% map [91] 18.3% loop [118] 8.7% taylor-invert [11] 7.6% debug5 [119] 3.8% taylor-quotient [27] 3.0% debug-print [121] 2.3% -------------------------------------------------------------------------- ??? [92] 100.0% [106] 1380(2.2%) 1380(2.2%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 -------------------------------------------------------------------------- append-map [114] 1.8% map [91] 41.0% loop [107] 57.2% [107] 1004(1.6%) 200(0.3%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [107] 57.2% ??? [127] 40.2% ??? [122] 0.4% ??? [123] 0.3% -------------------------------------------------------------------------- map [91] 100.0% [108] 624(1.0%) 400(0.6%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 hash-ref! [148] 35.9% -------------------------------------------------------------------------- ??? [98] 33.3% .../more-scheme.rkt:261:28 [28] 66.7% [109] 606(1.0%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [116] 100.0% -------------------------------------------------------------------------- for-loop [101] 100.0% [110] 200(0.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [124] 100.0% -------------------------------------------------------------------------- errors [102] 34.1% eval-const-expr [33] 65.9% [111] 7742(12.2%) 0(0.0%) temp85_0 (unknown source) compile15 [126] 100.0% -------------------------------------------------------------------------- errors [102] 100.0% [112] 6578(10.4%) 614(1.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [28] 90.7% -------------------------------------------------------------------------- infer-splitpoints [40] 0.6% syntax->list [199] 1.1% errors [102] 1.5% compile15 [126] 3.1% ??? [53] 3.4% gf [194] 3.6% apply-transformer52 [190] 4.6% eval-const-expr [33] 5.8% for-loop [185] 6.1% syntax-e/no-taint [19] 19.5% for-loop [39] 24.3% loop [113] 26.4% [113] 6538(10.3%) 818(1.3%) loop (unknown source) loop [113] 26.4% ??? [127] 23.3% gf [194] 18.2% expand-capturing-lifts [162] 10.4% core-form-sym [132] 7.6% sample-multi-bounded [131] 3.4% ??? [139] 1.1% syntax-e [7] 1.1% all-critical-subexpressions [13] 0.6% -------------------------------------------------------------------------- append-map [114] 4.1% gather-additive-terms6 [144] 4.2% gen-rewrites! [55] 8.1% simplify-node [104] 33.7% free-variables [129] 49.8% [114] 2456(3.9%) 600(0.9%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [129] 40.3% parse-loop368 [130] 33.7% loop [107] 8.1% gather-additive-terms6 [144] 4.2% append-map [114] 4.1% -------------------------------------------------------------------------- ??? [103] 100.0% [115] 1616(2.5%) 206(0.3%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [128] 87.3% -------------------------------------------------------------------------- eval-errors [109] 100.0% [116] 606(1.0%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [139] 66.7% ??? [137] 33.3% -------------------------------------------------------------------------- simplify-node [104] 100.0% [117] 400(0.6%) 400(0.6%) gather-multiplicative-terms ...re/reduce.rkt:110:0 -------------------------------------------------------------------------- taylor [105] 100.0% [118] 400(0.6%) 0(0.0%) loop .../herbie/findroot/src/core/taylor.rkt:267:2 hash-ref! [148] 100.0% -------------------------------------------------------------------------- taylor [105] 100.0% [119] 224(0.4%) 224(0.4%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 -------------------------------------------------------------------------- errors [102] 100.0% [120] 208(0.3%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 for-loop [133] 100.0% -------------------------------------------------------------------------- taylor [105] 100.0% [121] 202(0.3%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [134] 100.0% -------------------------------------------------------------------------- loop [107] 100.0% [122] 200(0.3%) 0(0.0%) ??? ...rbie/findroot/src/core/alt-table.rkt:185:12 loop [135] 100.0% -------------------------------------------------------------------------- loop [107] 100.0% [123] 200(0.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfsub [164] 100.0% -------------------------------------------------------------------------- for-loop [110] 100.0% [124] 200(0.3%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [128] 100.0% -------------------------------------------------------------------------- simplify-node [104] 100.0% [125] 200(0.3%) 0(0.0%) combine-aterms ...ndroot/src/core/reduce.rkt:185:0 for-loop [136] 100.0% -------------------------------------------------------------------------- temp85_0 [111] 100.0% [126] 7742(12.2%) 0(0.0%) compile15 (unknown source) temp91_0 [138] 97.4% loop [113] 2.6% -------------------------------------------------------------------------- loop [107] 11.1% map [91] 11.2% loop [113] 77.6% [127] 3624(5.7%) 1206(1.9%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [139] 50.1% ??? [137] 11.1% ulp-difference [146] 5.5% -------------------------------------------------------------------------- fix-up-variables [124] 12.4% for-loop [115] 87.6% [128] 1610(2.5%) 402(0.6%) pattern-match ...indroot/src/core/matcher.rkt:29:0 constant? [141] 50.1% for-loop [145] 25.0% -------------------------------------------------------------------------- for-loop [24] 1.8% composed [20] 33.3% append-map [114] 64.9% [129] 1224(1.9%) 224(0.4%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [114] 83.9% ??? [58] 10.0% -------------------------------------------------------------------------- parse-loop368 [130] 35.8% append-map [114] 64.2% [130] 1032(1.6%) 0(0.0%) parse-loop368 (unknown source) parse-loop368 [130] 35.8% make-multiplication-node [143] 29.6% simplify-node [104] 28.2% gather-additive-terms6 [144] 6.5% -------------------------------------------------------------------------- loop [113] 25.8% ??? [53] 74.2% [131] 868(1.4%) 222(0.3%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [142] 74.4% -------------------------------------------------------------------------- loop [113] 100.0% [132] 600(0.9%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [140] 100.0% -------------------------------------------------------------------------- eval-prog [120] 100.0% [133] 208(0.3%) 208(0.3%) for-loop ...erbie/findroot/src/programs.rkt:114:15 -------------------------------------------------------------------------- debug-print [121] 100.0% [134] 202(0.3%) 202(0.3%) ??? .../contract/private/arrow-val-first.rkt:555:3 -------------------------------------------------------------------------- ??? [122] 10.0% loop [135] 90.0% [135] 200(0.3%) 200(0.3%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [135] 90.0% -------------------------------------------------------------------------- combine-aterms [125] 100.0% [136] 200(0.3%) 0(0.0%) for-loop ...bie/findroot/src/core/reduce.rkt:187:4 hash-ref! [148] 100.0% -------------------------------------------------------------------------- for-loop [116] 1.2% ??? [127] 2.5% real->precision [62] 3.8% loop [15] 4.1% loop [47] 11.2% ??? [4] 18.0% location-do [147] 29.6% for-loop [76] 29.6% [137] 16376(25.8%) 604(1.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [147] 29.6% approximate9 [2] 29.0% hash-ref! [148] 22.1% ival-mult [150] 11.2% bf [155] 3.8% f40 [29] 0.6% -------------------------------------------------------------------------- compile15 [126] 100.0% [138] 7542(11.9%) 0(0.0%) temp91_0 (unknown source) temp118_0 [149] 75.7% compile-top9 [151] 24.3% -------------------------------------------------------------------------- loop [113] 3.1% for-loop [116] 6.2% ??? [127] 27.7% .../more-scheme.rkt:261:28 [28] 63.0% [139] 6552(10.3%) 4698(7.4%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [152] 25.2% ??? [159] 3.1% -------------------------------------------------------------------------- expand-identifier [10] 24.8% core-form-sym [132] 37.2% expand-implicit [8] 38.0% [140] 1612(2.5%) 200(0.3%) resolve+shift28 (unknown source) fallback-loop [153] 87.6% -------------------------------------------------------------------------- pattern-match [128] 100.0% [141] 806(1.3%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [154] 100.0% -------------------------------------------------------------------------- sample-multi-bounded [131] 100.0% [142] 646(1.0%) 220(0.3%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [158] 34.7% cons/c [160] 31.3% -------------------------------------------------------------------------- parse-loop368 [130] 100.0% [143] 408(0.6%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [156] 100.0% -------------------------------------------------------------------------- parse-loop368 [130] 49.3% append-map [114] 50.7% [144] 406(0.6%) 200(0.3%) gather-additive-terms6 ...src/core/reduce.rkt:68:0 append-map [114] 50.7% -------------------------------------------------------------------------- pattern-match [128] 100.0% [145] 402(0.6%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 core457 [157] 100.0% -------------------------------------------------------------------------- ??? [127] 100.0% [146] 200(0.3%) 200(0.3%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 -------------------------------------------------------------------------- ??? [137] 26.5% location-do [147] 73.5% [147] 13316(21.0%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [147] 73.5% ??? [137] 26.5% -------------------------------------------------------------------------- for-loop [136] 0.3% localize-error [63] 0.5% simplify* [108] 0.6% for-loop [23] 0.8% for-loop [101] 0.8% loop [118] 0.9% for-loop [21] 1.7% map [91] 2.6% ??? [163] 2.9% ??? [4] 5.8% ??? [26] 6.2% first-nonzero-exp [31] 7.3% ??? [161] 10.1% loop [15] 11.0% for-loop [16] 14.1% ??? [137] 14.2% for-loop [17] 20.3% [148] 13084(20.6%) 846(1.3%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 24.6% ??? [5] 20.3% ??? [4] 16.8% ??? [161] 10.1% f40 [29] 8.4% parse-loop15 [169] 3.1% ??? [163] 2.9% taylor [105] 2.5% parse-loop74 [30] 2.4% f61 [6] 1.9% taylor-quotient [27] 1.5% matcher [173] 1.5% simplify-node [104] 0.8% ??? [168] 0.3% -------------------------------------------------------------------------- temp91_0 [138] 100.0% [149] 5710(9.0%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [162] 100.0% -------------------------------------------------------------------------- ??? [137] 100.0% [150] 1832(2.9%) 816(1.3%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfsub [164] 55.5% -------------------------------------------------------------------------- temp91_0 [138] 100.0% [151] 1832(2.9%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [165] 100.0% -------------------------------------------------------------------------- ??? [139] 100.0% [152] 1648(2.6%) 1432(2.3%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [170] 13.1% -------------------------------------------------------------------------- resolve+shift28 [140] 100.0% [153] 1412(2.2%) 400(0.6%) fallback-loop (unknown source) for-loop [185] 71.7% -------------------------------------------------------------------------- constant? [141] 100.0% [154] 806(1.3%) 806(1.3%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 -------------------------------------------------------------------------- ??? [137] 100.0% [155] 624(1.0%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [174] 100.0% -------------------------------------------------------------------------- make-multiplication-node [143] 100.0% [156] 408(0.6%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 group-by61 [167] 100.0% -------------------------------------------------------------------------- for-loop [145] 100.0% [157] 402(0.6%) 0(0.0%) core457 ...acket/contract/private/arr-i.rkt:976:19 ??? [171] 50.2% un-dep/maybe-chaperone [172] 49.8% -------------------------------------------------------------------------- random-ranges [142] 100.0% [158] 224(0.4%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [166] 100.0% -------------------------------------------------------------------------- ??? [139] 100.0% [159] 206(0.3%) 206(0.3%) ??? ...ects/racket/contract/private/prop.rkt:301:4 -------------------------------------------------------------------------- random-ranges [142] 100.0% [160] 202(0.3%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [166] 100.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [161] 9196(14.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [148] 100.0% -------------------------------------------------------------------------- loop [113] 15.9% temp118_0 [149] 84.1% [162] 6792(10.7%) 264(0.4%) expand-capturing-lifts (unknown source) lambda-clause-expander [175] 78.2% dispatch-transformer41 [187] 15.0% expand-id-application-form17 [189] 2.9% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [163] 3678(5.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [148] 100.0% -------------------------------------------------------------------------- ??? [123] 5.7% ival-cos [69] 11.4% ival-mult [150] 29.1% ival-sin [67] 53.8% [164] 3490(5.5%) 200(0.3%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [186] 51.7% new-mpfr [174] 42.6% -------------------------------------------------------------------------- compile-top9 [151] 100.0% [165] 1832(2.9%) 0(0.0%) compile-forms33 (unknown source) for-loop [185] 88.8% loop! [177] 11.2% -------------------------------------------------------------------------- cons/c [160] 47.4% build--> [158] 52.6% [166] 426(0.7%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [176] 100.0% -------------------------------------------------------------------------- make-multiplication-subnode [156] 100.0% [167] 408(0.6%) 408(0.6%) group-by61 ...t-7.5/collects/racket/list.rkt:771:0 -------------------------------------------------------------------------- hash-ref! [148] 100.0% [168] 404(0.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:422:23 for-loop [178] 50.0% rle [179] 50.0% -------------------------------------------------------------------------- hash-ref! [148] 100.0% [169] 400(0.6%) 0(0.0%) parse-loop15 (unknown source) map [91] 93.8% for-loop [181] 6.2% -------------------------------------------------------------------------- return/no-unsupplied [152] 100.0% [170] 216(0.3%) 216(0.3%) filter ...5/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------------- core457 [157] 100.0% [171] 202(0.3%) 0(0.0%) ??? ...s/racket/contract/private/arr-i.rkt:1288:27 build-nullary-very-simple--> [180]100.0% -------------------------------------------------------------------------- core457 [157] 100.0% [172] 200(0.3%) 200(0.3%) un-dep/maybe-chaperone ...private/arr-i.rkt:1137:2 -------------------------------------------------------------------------- hash-ref! [148] 100.0% [173] 200(0.3%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [12] 50.0% rewriter [90] 50.0% -------------------------------------------------------------------------- bffloor [81] 11.1% bf [155] 11.4% bfsin [80] 12.0% bfsub [164] 27.2% pi.bf [78] 38.2% [174] 5466(8.6%) 5466(8.6%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 -------------------------------------------------------------------------- expand-capturing-lifts [162] 100.0% [175] 5310(8.4%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [182] 100.0% -------------------------------------------------------------------------- coerce-contract [166] 100.0% [176] 426(0.7%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [183] 100.0% -------------------------------------------------------------------------- compile-forms33 [165] 100.0% [177] 206(0.3%) 0(0.0%) loop! (unknown source) for-loop [185] 100.0% -------------------------------------------------------------------------- ??? [168] 100.0% [178] 202(0.3%) 202(0.3%) for-loop ...ie/findroot/src/core/taylor.rkt:425:30 -------------------------------------------------------------------------- ??? [168] 100.0% [179] 202(0.3%) 202(0.3%) rle ...s/herbie/findroot/src/core/taylor.rkt:396:0 -------------------------------------------------------------------------- ??? [171] 100.0% [180] 202(0.3%) 202(0.3%) build-nullary-very-simple--> ...l-first.rkt:1131:0 -------------------------------------------------------------------------- parse-loop15 [169] 100.0% [181] 200(0.3%) 0(0.0%) for-loop ...e/findroot/src/core/localize.rkt:45:21 for-loop [184] 100.0% -------------------------------------------------------------------------- lambda-clause-expander [175] 29.0% for-loop [185] 71.0% [182] 5310(8.4%) 0(0.0%) finish-bodys (unknown source) for-loop [185] 100.0% -------------------------------------------------------------------------- coerce-contract/f [176] 100.0% [183] 426(0.7%) 426(0.7%) coerce-simple-value ...ract/private/guts.rkt:385:0 -------------------------------------------------------------------------- for-loop [181] 100.0% [184] 200(0.3%) 0(0.0%) for-loop ...e/findroot/src/core/localize.rkt:46:23 ??? [186] 100.0% -------------------------------------------------------------------------- eval-one-top12 [42] 2.6% loop! [177] 2.7% fallback-loop [153] 5.0% for-loop [185] 13.8% compile-forms33 [165] 21.0% finish-bodys [182] 55.0% [185] 7742(12.2%) 2892(4.6%) for-loop (unknown source) finish-bodys [182] 38.8% compile-module-linklet57 [188] 15.8% for-loop [185] 13.8% loop [113] 3.0% expand-implicit [8] 1.9% dispatch-transformer41 [187] 1.1% expand-id-application-form17 [189] 0.9% syntax-e [7] 0.8% expand-identifier [10] 0.4% -------------------------------------------------------------------------- for-loop [184] 4.3% bfsin [80] 9.2% bffloor [81] 9.6% pi.bf [78] 37.8% bfsub [164] 39.1% [186] 4616(7.3%) 4616(7.3%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 -------------------------------------------------------------------------- for-loop [185] 37.5% expand-capturing-lifts [162] 62.5% [187] 1628(2.6%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [190] 100.0% -------------------------------------------------------------------------- for-loop [185] 100.0% [188] 1226(1.9%) 1226(1.9%) compile-module-linklet57 (unknown source) -------------------------------------------------------------------------- for-loop [185] 50.0% expand-capturing-lifts [162] 50.0% [189] 400(0.6%) 0(0.0%) expand-id-application-form17 (unknown source) binding-lookup52 [191] 100.0% -------------------------------------------------------------------------- dispatch-transformer41 [187] 100.0% [190] 1628(2.6%) 200(0.3%) apply-transformer52 (unknown source) apply-transformer-in-context [192] 37.5% apply-post-expansion [193] 25.7% loop [113] 24.6% -------------------------------------------------------------------------- expand-id-application-form17 [189]100.0% [191] 400(0.6%) 400(0.6%) binding-lookup52 (unknown source) -------------------------------------------------------------------------- apply-transformer52 [190] 100.0% [192] 610(1.0%) 200(0.3%) apply-transformer-in-context (unknown source) ??? [195] 33.8% parse-app [196] 33.4% -------------------------------------------------------------------------- apply-transformer52 [190] 100.0% [193] 418(0.7%) 0(0.0%) apply-post-expansion (unknown source) gf [194] 100.0% -------------------------------------------------------------------------- apply-post-expansion [193] 13.8% loop [113] 86.2% [194] 1630(2.6%) 206(0.3%) gf (unknown source) loop [113] 25.6% propagation-merge [197] 24.7% propagation-apply-shifted [198] 24.7% propagation-apply [200] 12.4% -------------------------------------------------------------------------- apply-transformer-in-context [192]100.0% [195] 206(0.3%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 syntax->list [199] 100.0% -------------------------------------------------------------------------- apply-transformer-in-context [192]100.0% [196] 204(0.3%) 204(0.3%) parse-app ...collects/racket/private/kw.rkt:1142:2 -------------------------------------------------------------------------- gf [194] 100.0% [197] 402(0.6%) 402(0.6%) propagation-merge (unknown source) -------------------------------------------------------------------------- gf [194] 100.0% [198] 402(0.6%) 402(0.6%) propagation-apply-shifted (unknown source) -------------------------------------------------------------------------- ??? [195] 100.0% [199] 206(0.3%) 0(0.0%) syntax->list (unknown source) loop [113] 100.0% -------------------------------------------------------------------------- gf [194] 100.0% [200] 202(0.3%) 202(0.3%) propagation-apply (unknown source) --------------------------------------------------------------------------