Profiling results ----------------- Total cpu time observed: 32286ms (out of 32536ms) Number of samples taken: 157 (once every 206ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 206 hidden) ========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================== [1] 32286(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [14] 100.0% -------------------------------------------------------------------------- ??? [154] 100.0% [2] 10410(32.2%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [15] 66.9% for-loop [21] 23.2% taylor [171] 6.0% f40 [122] 1.9% taylor-quotient [27] 1.9% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [3] 6964(21.6%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 hash-ref! [163] 74.9% ??? [154] 25.1% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [4] 4122(12.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [17] 100.0% -------------------------------------------------------------------------- parse-loop74 [5] 2.8% hash-ref! [163] 41.8% map [128] 55.5% [5] 3656(11.3%) 200(0.6%) parse-loop74 (unknown source) eval-const-expr [16] 89.0% parse-loop74 [5] 2.8% simplify* [139] 2.8% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [6] 3514(10.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [19] 100.0% -------------------------------------------------------------------------- stx-pair? [119] 7.4% for-loop [136] 42.7% loop [121] 50.0% [7] 2818(8.7%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [18] 100.0% -------------------------------------------------------------------------- taylor [171] 28.8% map [128] 71.2% [8] 1416(4.4%) 208(0.6%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [31] 85.3% -------------------------------------------------------------------------- matcher [173] 100.0% [9] 1228(3.8%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [22] 100.0% -------------------------------------------------------------------------- for-loop [136] 100.0% [10] 1208(3.7%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [20] 100.0% -------------------------------------------------------------------------- for-loop [136] 100.0% [11] 626(1.9%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [20] 100.0% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [12] 410(1.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:406:23 for-loop [23] 100.0% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [13] 202(0.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:509:23 for-loop [24] 100.0% -------------------------------------------------------------------------- ??? [1] 100.0% [14] 32286(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [25] 100.0% -------------------------------------------------------------------------- approximate9 [2] 100.0% [15] 6964(21.6%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [163] 100.0% -------------------------------------------------------------------------- f61 [137] 33.9% parse-loop74 [5] 66.1% [16] 4920(15.2%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [94] 87.8% loop [121] 12.2% -------------------------------------------------------------------------- ??? [4] 100.0% [17] 4122(12.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [163] 90.2% ??? [28] 9.8% -------------------------------------------------------------------------- expand-id-application-form17 [144] 26.8% syntax-e [7] 73.2% [18] 3852(11.9%) 0(0.0%) syntax-e/no-taint (unknown source) loop [121] 100.0% -------------------------------------------------------------------------- ??? [6] 100.0% [19] 3514(10.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [163] 100.0% -------------------------------------------------------------------------- core-form-sym [124] 13.9% expand-identifier [11] 21.7% expand-id-application-form17 [144] 22.4% expand-implicit [10] 41.9% [20] 2880(8.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [26] 100.0% -------------------------------------------------------------------------- approximate9 [2] 100.0% [21] 2418(7.5%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [171] 83.5% taylor-quotient [27] 16.5% -------------------------------------------------------------------------- ??? [9] 100.0% [22] 1228(3.8%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [163] 100.0% -------------------------------------------------------------------------- ??? [12] 100.0% [23] 410(1.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:410:33 hash-ref! [163] 100.0% -------------------------------------------------------------------------- ??? [13] 100.0% [24] 202(0.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:513:35 parse-loop402 [29] 100.0% -------------------------------------------------------------------------- profile-thunk16 [14] 100.0% [25] 32286(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [30] 100.0% -------------------------------------------------------------------------- resolve+shift28 [20] 100.0% [26] 2880(8.9%) 640(2.0%) fallback-loop (unknown source) for-loop [136] 77.8% -------------------------------------------------------------------------- approximate9 [2] 25.0% taylor [171] 25.0% for-loop [21] 50.0% [27] 800(2.5%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [31] 50.0% f40 [122] 50.0% -------------------------------------------------------------------------- for-loop [17] 100.0% [28] 406(1.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [163] 100.0% -------------------------------------------------------------------------- for-loop [24] 100.0% [29] 202(0.6%) 0(0.0%) parse-loop402 (unknown source) for-loop [32] 100.0% -------------------------------------------------------------------------- for-loop [95] 4.1% run [25] 95.9% [30] 32286(100.0%) 1812(5.6%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [33] 69.3% prepare-points-intervals [34] 11.2% get-final-combination [35] 8.1% oracle-error [36] 5.0% errors [89] 1.0% ??? [155] 0.9% loop [121] 0.7% eval-errors [37] 0.6% ??? [96] 0.3% -------------------------------------------------------------------------- taylor-quotient [27] 24.9% taylor-invert [8] 75.1% [31] 1608(5.0%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [163] 100.0% -------------------------------------------------------------------------- parse-loop402 [29] 100.0% [32] 202(0.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:516:59 hash-ref! [163] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [30] 100.0% [33] 23594(73.1%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [38] 97.8% simplify! [50] 2.2% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [30] 100.0% [34] 3630(11.2%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [39] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [30] 100.0% [35] 2616(8.1%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [40] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [30] 100.0% [36] 1614(5.0%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [41] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [30] 100.0% [37] 200(0.6%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [42] 100.0% -------------------------------------------------------------------------- run-improve47 [33] 100.0% [38] 23064(71.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [43] 100.0% -------------------------------------------------------------------------- prepare-points-intervals [34] 100.0% [39] 3630(11.2%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [44] 83.4% ??? [46] 16.6% -------------------------------------------------------------------------- get-final-combination [35] 100.0% [40] 2616(8.1%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [45] 100.0% -------------------------------------------------------------------------- oracle-error [36] 100.0% [41] 1614(5.0%) 206(0.6%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [121] 49.7% map [128] 25.2% loop [79] 12.4% -------------------------------------------------------------------------- eval-errors [37] 100.0% [42] 200(0.6%) 200(0.6%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 -------------------------------------------------------------------------- for-loop [38] 100.0% [43] 23064(71.4%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [47] 45.1% finalize-iter! [48] 38.7% simplify! [50] 7.3% gen-rewrites! [51] 5.3% choose-best-alt! [53] 2.6% localize! [55] 0.9% -------------------------------------------------------------------------- loop [39] 100.0% [44] 3028(9.4%) 200(0.6%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [154] 46.8% real->precision [52] 20.1% ??? [54] 19.8% ??? [57] 6.6% -------------------------------------------------------------------------- infer-splitpoints [40] 100.0% [45] 2616(8.1%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [49] 100.0% -------------------------------------------------------------------------- loop [39] 100.0% [46] 602(1.9%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [125] 66.8% loop [121] 33.2% -------------------------------------------------------------------------- run-iter! [43] 100.0% [47] 10410(32.2%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [56] 100.0% -------------------------------------------------------------------------- run-iter! [43] 100.0% [48] 8934(27.7%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [57] 100.0% -------------------------------------------------------------------------- for-loop [45] 100.0% [49] 2616(8.1%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [59] 61.5% err-lsts->split-indices [63] 15.4% sort-context-on-expr [64] 15.3% temp85_0 [94] 7.9% -------------------------------------------------------------------------- run-improve47 [33] 23.9% run-iter! [43] 76.1% [50] 2216(6.9%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [58] 100.0% -------------------------------------------------------------------------- run-iter! [43] 100.0% [51] 1228(3.8%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [60] 100.0% -------------------------------------------------------------------------- loop [44] 100.0% [52] 610(1.9%) 202(0.6%) real->precision ...findroot/src/programs.rkt:94:11 ??? [154] 66.9% -------------------------------------------------------------------------- run-iter! [43] 100.0% [53] 606(1.9%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [61] 100.0% -------------------------------------------------------------------------- loop [44] 100.0% [54] 600(1.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [62] 100.0% -------------------------------------------------------------------------- run-iter! [43] 100.0% [55] 200(0.6%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [65] 100.0% -------------------------------------------------------------------------- gen-series! [47] 100.0% [56] 10410(32.2%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [66] 100.0% -------------------------------------------------------------------------- loop [44] 2.1% debug5 [181] 2.2% finalize-iter! [48] 95.7% [57] 9336(28.9%) 200(0.6%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [67] 95.7% ??? [72] 2.2% -------------------------------------------------------------------------- simplify! [50] 100.0% [58] 2216(6.9%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [68] 89.5% loop [121] 10.5% -------------------------------------------------------------------------- option-on-expr [49] 100.0% [59] 1608(5.0%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [89] 100.0% -------------------------------------------------------------------------- gen-rewrites! [51] 100.0% [60] 1228(3.8%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [69] 100.0% -------------------------------------------------------------------------- choose-best-alt! [53] 100.0% [61] 606(1.9%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [70] 100.0% -------------------------------------------------------------------------- ??? [54] 100.0% [62] 600(1.9%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfmul [172] 100.0% -------------------------------------------------------------------------- option-on-expr [49] 100.0% [63] 402(1.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 for-loop [73] 50.2% loop [74] 49.8% -------------------------------------------------------------------------- option-on-expr [49] 100.0% [64] 400(1.2%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [71] 100.0% -------------------------------------------------------------------------- localize! [55] 100.0% [65] 200(0.6%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [163] 100.0% -------------------------------------------------------------------------- for-loop [56] 100.0% [66] 10410(32.2%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [75] 100.0% -------------------------------------------------------------------------- ??? [57] 100.0% [67] 8934(27.7%) 200(0.6%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 errors [89] 47.7% atab-add-altn [76] 43.3% override-at-pnts [86] 2.3% for-loop [80] 2.3% map [128] 2.2% -------------------------------------------------------------------------- ??? [58] 100.0% [68] 1984(6.1%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [77] 100.0% -------------------------------------------------------------------------- for-loop [60] 100.0% [69] 1228(3.8%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [78] 100.0% -------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [61] 100.0% [70] 606(1.9%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [79] 100.0% -------------------------------------------------------------------------- sort-context-on-expr [64] 100.0% [71] 400(1.2%) 200(0.6%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [82] 50.0% -------------------------------------------------------------------------- ??? [57] 100.0% [72] 202(0.6%) 202(0.6%) ??? ...ects/racket/contract/private/guts.rkt:770:8 -------------------------------------------------------------------------- err-lsts->split-indices [63] 100.0% [73] 202(0.6%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:303:4 map [128] 100.0% -------------------------------------------------------------------------- err-lsts->split-indices [63] 100.0% [74] 200(0.6%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [81] 100.0% -------------------------------------------------------------------------- taylor-alt [66] 100.0% [75] 10410(32.2%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [154] 100.0% -------------------------------------------------------------------------- for-loop [67] 100.0% [76] 3870(12.0%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [89] 94.4% override-at-pnts [86] 5.6% -------------------------------------------------------------------------- egraph-run [68] 100.0% [77] 1984(6.1%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [83] 87.5% loop [121] 12.5% -------------------------------------------------------------------------- rewrite-expression-head24 [69] 24.6% matcher [173] 75.4% [78] 1228(3.8%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [84] 100.0% -------------------------------------------------------------------------- for-loop [41] 24.8% ??? [70] 75.2% [79] 806(2.5%) 200(0.6%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [85] 75.2% -------------------------------------------------------------------------- for-loop [67] 100.0% [80] 202(0.6%) 202(0.6%) for-loop .../findroot/src/core/alt-table.rkt:110:2 -------------------------------------------------------------------------- loop [74] 100.0% [81] 200(0.6%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [87] 100.0% -------------------------------------------------------------------------- ??? [71] 100.0% [82] 200(0.6%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [88] 100.0% -------------------------------------------------------------------------- egraph-add-exprs [77] 100.0% [83] 1736(5.4%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [90] 100.0% -------------------------------------------------------------------------- rewriter [78] 100.0% [84] 1228(3.8%) 206(0.6%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [163] 88.9% for-loop [92] 2.7% -------------------------------------------------------------------------- loop [79] 100.0% [85] 606(1.9%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [89] 100.0% -------------------------------------------------------------------------- for-loop [67] 48.3% atab-add-altn [76] 51.7% [86] 418(1.3%) 0(0.0%) override-at-pnts ...t/src/core/alt-table.rkt:129:0 for-loop [91] 100.0% -------------------------------------------------------------------------- for-loop [81] 100.0% [87] 200(0.6%) 200(0.6%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 -------------------------------------------------------------------------- generic-sort/key [82] 100.0% [88] 200(0.6%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 loop [93] 100.0% -------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [30] 3.9% ??? [85] 5.7% for-loop [59] 15.3% atab-add-altn [76] 34.7% for-loop [67] 40.4% [89] 10542(32.7%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [94] 59.7% for-loop [95] 34.5% eval-prog [97] 2.0% loop [121] 1.9% eval [99] 1.9% -------------------------------------------------------------------------- ??? [83] 100.0% [90] 1736(5.4%) 1736(5.4%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 -------------------------------------------------------------------------- override-at-pnts [86] 100.0% [91] 418(1.3%) 418(1.3%) for-loop ...findroot/src/core/alt-table.rkt:130:22 -------------------------------------------------------------------------- for-loop [84] 100.0% [92] 202(0.6%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [98] 100.0% -------------------------------------------------------------------------- copying-mergesort [88] 100.0% [93] 200(0.6%) 0(0.0%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ??? [96] 100.0% -------------------------------------------------------------------------- option-on-expr [49] 1.9% loop [121] 2.0% eval-const-expr [16] 39.1% errors [89] 57.0% [94] 11040(34.2%) 0(0.0%) temp85_0 (unknown source) compile15 [100] 100.0% -------------------------------------------------------------------------- errors [89] 100.0% [95] 3638(11.3%) 1018(3.2%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [30] 72.0% -------------------------------------------------------------------------- loop [93] 49.8% .../more-scheme.rkt:261:28 [30] 50.2% [96] 402(1.2%) 402(1.2%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 -------------------------------------------------------------------------- errors [89] 100.0% [97] 206(0.6%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 inductor [101] 100.0% -------------------------------------------------------------------------- for-loop [92] 100.0% [98] 202(0.6%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 for-loop [102] 100.0% -------------------------------------------------------------------------- errors [89] 100.0% [99] 200(0.6%) 0(0.0%) eval (unknown source) add-ns-scopes [103] 100.0% -------------------------------------------------------------------------- temp85_0 [94] 100.0% [100] 11040(34.2%) 0(0.0%) compile15 (unknown source) temp91_0 [104] 100.0% -------------------------------------------------------------------------- eval-prog [97] 16.7% inductor [101] 83.3% [101] 206(0.6%) 0(0.0%) inductor ...herbie/findroot/src/programs.rkt:103:4 inductor [101] 83.3% constant? [183] 16.7% -------------------------------------------------------------------------- fix-up-variables [98] 100.0% [102] 202(0.6%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:41:9 for-loop [167] 100.0% -------------------------------------------------------------------------- eval [99] 100.0% [103] 200(0.6%) 0(0.0%) add-ns-scopes (unknown source) gf [123] 100.0% -------------------------------------------------------------------------- compile15 [100] 100.0% [104] 11040(34.2%) 0(0.0%) temp91_0 (unknown source) temp118_0 [105] 90.9% compile-top9 [106] 9.1% -------------------------------------------------------------------------- temp91_0 [104] 100.0% [105] 10032(31.1%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [107] 100.0% -------------------------------------------------------------------------- temp91_0 [104] 100.0% [106] 1008(3.1%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [108] 100.0% -------------------------------------------------------------------------- loop [121] 7.4% temp118_0 [105] 92.6% [107] 10834(33.6%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [109] 86.9% dispatch-transformer41 [110] 11.2% loop [121] 1.8% -------------------------------------------------------------------------- compile-top9 [106] 100.0% [108] 1008(3.1%) 206(0.6%) compile-forms33 (unknown source) for-loop [136] 79.6% -------------------------------------------------------------------------- expand-capturing-lifts [107] 100.0% [109] 9418(29.2%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [111] 100.0% -------------------------------------------------------------------------- expand-capturing-lifts [107] 37.6% for-loop [136] 62.4% [110] 3236(10.0%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [112] 100.0% -------------------------------------------------------------------------- lambda-clause-expander [109] 24.0% for-loop [136] 76.0% [111] 9418(29.2%) 0(0.0%) finish-bodys (unknown source) for-loop [136] 100.0% -------------------------------------------------------------------------- dispatch-transformer41 [110] 100.0% [112] 3236(10.0%) 400(1.2%) apply-transformer52 (unknown source) apply-transformer-in-context [113] 62.7% loop [121] 25.0% -------------------------------------------------------------------------- apply-transformer52 [112] 100.0% [113] 2028(6.3%) 0(0.0%) apply-transformer-in-context (unknown source) ??? [114] 49.3% parse-lambda [115] 20.1% datum->syntax6 [148] 10.7% t-subst [116] 10.0% parse-app [117] 9.9% -------------------------------------------------------------------------- apply-transformer-in-context [113]100.0% [114] 1000(3.1%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [118] 100.0% -------------------------------------------------------------------------- apply-transformer-in-context [113]100.0% [115] 408(1.3%) 0(0.0%) parse-lambda ...llects/racket/private/kw.rkt:619:2 stx-pair? [119] 51.0% datum->syntax6 [148] 49.0% -------------------------------------------------------------------------- apply-transformer-in-context [113]100.0% [116] 202(0.6%) 202(0.6%) t-subst ...lects/racket/private/template.rkt:651:0 -------------------------------------------------------------------------- apply-transformer-in-context [113]100.0% [117] 200(0.6%) 200(0.6%) parse-app ...collects/racket/private/kw.rkt:1142:2 -------------------------------------------------------------------------- ??? [114] 100.0% [118] 1000(3.1%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [120] 100.0% -------------------------------------------------------------------------- parse-lambda [115] 100.0% [119] 208(0.6%) 0(0.0%) stx-pair? .../collects/racket/private/stx.rkt:40:4 syntax-e [7] 100.0% -------------------------------------------------------------------------- ??? [118] 100.0% [120] 1000(3.1%) 0(0.0%) syntax->list (unknown source) loop [121] 100.0% -------------------------------------------------------------------------- egraph-add-exprs [77] 0.0% expr->egg-expr-helper [126] 0.2% .../more-scheme.rkt:261:28 [30] 0.5% expand-capturing-lifts [107] 1.3% errors [89] 1.3% ??? [46] 1.3% datum->syntax6 [148] 1.3% taylor [171] 2.5% gf [123] 2.5% parse-loop49 [141] 2.7% ??? [58] 2.9% for-loop [41] 4.5% apply-transformer52 [112] 4.6% eval-const-expr [16] 5.0% syntax->list [120] 6.3% for-loop [136] 15.8% loop [121] 17.1% syntax-e/no-taint [18] 30.3% [121] 7984(24.7%) 1018(3.2%) loop (unknown source) gf [123] 32.8% loop [121] 17.1% expand-id-application-form17 [144] 10.7% syntax-e [7] 8.4% expand-capturing-lifts [107] 6.3% core-form-sym [124] 5.1% ??? [145] 4.0% unpack367 [127] 2.9% f40 [122] 2.7% simplify* [139] 2.5% sample-multi-bounded [125] 1.3% temp85_0 [94] 0.5% expr->egg-expr-helper [126] 0.2% -------------------------------------------------------------------------- parse-loop49 [141] 0.5% approximate9 [2] 1.4% loop [121] 2.3% taylor-quotient [27] 5.4% map [128] 33.8% hash-ref! [163] 56.6% [122] 4652(14.4%) 0(0.0%) f40 (unknown source) map [128] 100.0% -------------------------------------------------------------------------- add-ns-scopes [103] 2.5% loop [121] 97.5% [123] 4052(12.6%) 808(2.5%) gf (unknown source) propagation-apply [129] 35.2% propagation-merge [130] 19.9% cache-or-reuse-set [131] 10.0% propagation-apply-shifted [132] 9.9% cache-or-reuse-hash [135] 5.0% loop [121] 2.5% -------------------------------------------------------------------------- loop [121] 100.0% [124] 606(1.9%) 206(0.6%) core-form-sym (unknown source) resolve+shift28 [20] 66.0% -------------------------------------------------------------------------- loop [121] 33.2% ??? [46] 66.8% [125] 602(1.9%) 400(1.2%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [134] 33.6% -------------------------------------------------------------------------- loop [121] 100.0% [126] 248(0.8%) 0(0.0%) expr->egg-expr-helper ...erbie-linux/main.rkt:77:0 loop [121] 85.7% list-member? [133] 14.3% -------------------------------------------------------------------------- loop [121] 100.0% [127] 232(0.7%) 232(0.7%) unpack367 ...7.5/collects/racket/format.rkt:147:16 -------------------------------------------------------------------------- for-loop [67] 2.5% parse-loop15 [177] 2.5% for-loop [73] 2.5% for-loop [41] 5.0% taylor [171] 34.5% f40 [122] 53.1% [128] 8122(25.2%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 taylor [171] 27.4% f40 [122] 19.4% parse-loop74 [5] 10.6% f61 [137] 9.4% loop [140] 7.5% simplify-node [138] 7.1% taylor-invert [8] 7.0% loop [142] 2.5% ??? [143] 2.5% hash-ref! [163] 2.5% parse-loop49 [141] 1.6% simplify* [139] 1.2% make-multiplication-node [175] 1.2% -------------------------------------------------------------------------- gf [123] 100.0% [129] 1428(4.4%) 1428(4.4%) propagation-apply (unknown source) -------------------------------------------------------------------------- gf [123] 100.0% [130] 808(2.5%) 808(2.5%) propagation-merge (unknown source) -------------------------------------------------------------------------- gf [123] 100.0% [131] 406(1.3%) 406(1.3%) cache-or-reuse-set (unknown source) -------------------------------------------------------------------------- gf [123] 100.0% [132] 400(1.2%) 400(1.2%) propagation-apply-shifted (unknown source) -------------------------------------------------------------------------- expr->egg-expr-helper [126] 100.0% [133] 248(0.8%) 248(0.8%) list-member? ...llects/racket/private/set.rkt:24:0 -------------------------------------------------------------------------- sample-multi-bounded [125] 100.0% [134] 202(0.6%) 202(0.6%) random-ranges ...bie/findroot/src/common.rkt:164:0 -------------------------------------------------------------------------- gf [123] 100.0% [135] 202(0.6%) 0(0.0%) cache-or-reuse-hash (unknown source) for-loop [136] 100.0% -------------------------------------------------------------------------- cache-or-reuse-hash [135] 0.5% fallback-loop [26] 5.1% compile-forms33 [108] 7.6% for-loop [136] 13.8% finish-bodys [111] 73.0% [136] 10620(32.9%) 3910(12.1%) for-loop (unknown source) finish-bodys [111] 56.9% for-loop [136] 13.8% compile-module-linklet57 [146] 7.6% dispatch-transformer41 [110] 6.1% loop [121] 3.1% datum->syntax6 [148] 1.9% expand-id-application-form17 [144] 1.9% syntax-e [7] 1.0% expand-implicit [10] 0.6% expand-identifier [11] 0.3% -------------------------------------------------------------------------- map [128] 48.5% hash-ref! [163] 51.5% [137] 2068(6.4%) 0(0.0%) f61 (unknown source) eval-const-expr [16] 80.6% composed [150] 19.4% -------------------------------------------------------------------------- map [128] 100.0% [138] 1020(3.2%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 gather-multiplicative-terms [149] 40.8% append-map [147] 39.2% combine-mterms [151] 20.0% -------------------------------------------------------------------------- loop [121] 24.9% hash-ref! [163] 24.9% parse-loop74 [5] 25.1% map [128] 25.1% [139] 804(2.5%) 402(1.2%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 hash-ref! [163] 50.0% -------------------------------------------------------------------------- loop [140] 16.5% map [128] 83.5% [140] 606(1.9%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 ??? [145] 50.5% loop [152] 33.0% loop [140] 16.5% -------------------------------------------------------------------------- map [128] 100.0% [141] 420(1.3%) 0(0.0%) parse-loop49 (unknown source) loop [121] 51.4% f40 [122] 48.6% -------------------------------------------------------------------------- loop [142] 50.0% map [128] 50.0% [142] 202(0.6%) 202(0.6%) loop ...-7.5/collects/racket/private/map.rkt:54:19 loop [142] 50.0% -------------------------------------------------------------------------- map [128] 100.0% [143] 200(0.6%) 0(0.0%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [153] 100.0% -------------------------------------------------------------------------- for-loop [136] 30.9% loop [121] 69.1% [144] 2088(6.5%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [18] 49.5% resolve+shift28 [20] 30.9% binding-lookup52 [156] 19.5% -------------------------------------------------------------------------- loop [140] 40.3% loop [121] 59.7% [145] 1008(3.1%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [154] 40.3% ??? [155] 39.9% ulp-difference [159] 19.8% -------------------------------------------------------------------------- for-loop [136] 100.0% [146] 802(2.5%) 802(2.5%) compile-module-linklet57 (unknown source) -------------------------------------------------------------------------- append-map [147] 8.3% gather-additive-terms6 [178] 8.3% simplify-node [138] 33.3% free-variables [157] 50.1% [147] 802(2.5%) 0(0.0%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [157] 50.1% parse-loop368 [168] 33.3% append-map [147] 8.3% parse-loop389 [161] 8.3% -------------------------------------------------------------------------- parse-lambda [115] 32.4% for-loop [136] 32.4% apply-transformer-in-context [113] 35.3% [148] 618(1.9%) 200(0.6%) datum->syntax6 (unknown source) loop [121] 67.6% -------------------------------------------------------------------------- simplify-node [138] 100.0% [149] 416(1.3%) 200(0.6%) gather-multiplicative-terms ...re/reduce.rkt:110:0 compose [158] 51.9% -------------------------------------------------------------------------- f61 [137] 100.0% [150] 402(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [157] 100.0% -------------------------------------------------------------------------- simplify-node [138] 100.0% [151] 204(0.6%) 204(0.6%) combine-mterms ...ndroot/src/core/reduce.rkt:193:0 -------------------------------------------------------------------------- loop [140] 3.2% loop [152] 96.8% [152] 200(0.6%) 200(0.6%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [152] 96.8% -------------------------------------------------------------------------- ??? [143] 100.0% [153] 200(0.6%) 0(0.0%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [160] 100.0% -------------------------------------------------------------------------- ??? [145] 3.2% real->precision [52] 3.2% loop [44] 11.2% ??? [3] 18.4% location-do [162] 32.0% for-loop [75] 32.0% [154] 12642(39.2%) 406(1.3%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [162] 32.0% approximate9 [2] 32.0% hash-ref! [163] 18.4% ival-mult [164] 8.0% ival-div [165] 3.3% bf [166] 3.2% -------------------------------------------------------------------------- ??? [145] 39.9% .../more-scheme.rkt:261:28 [30] 60.1% [155] 1008(3.1%) 1008(3.1%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 -------------------------------------------------------------------------- expand-id-application-form17 [144]100.0% [156] 408(1.3%) 206(0.6%) binding-lookup52 (unknown source) binding->module-instance [169] 49.5% -------------------------------------------------------------------------- composed [150] 12.5% append-map [147] 87.5% [157] 402(1.2%) 202(0.6%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [147] 87.5% variable? [197] 4.1% -------------------------------------------------------------------------- gather-multiplicative-terms [149] 100.0% [158] 216(0.7%) 216(0.7%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------------- ??? [145] 100.0% [159] 200(0.6%) 200(0.6%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 -------------------------------------------------------------------------- for-loop [153] 100.0% [160] 200(0.6%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [167] 100.0% -------------------------------------------------------------------------- append-map [147] 100.0% [161] 200(0.6%) 0(0.0%) parse-loop389 (unknown source) parse-loop368 [168] 100.0% -------------------------------------------------------------------------- location-do [162] 30.0% ??? [154] 70.0% [162] 10410(32.2%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [154] 70.0% location-do [162] 30.0% -------------------------------------------------------------------------- for-loop [32] 0.1% localize-error [65] 0.4% for-loop [23] 0.4% ??? [28] 0.4% simplify* [139] 0.6% map [128] 1.6% for-loop [22] 5.7% ??? [170] 6.2% for-loop [19] 6.5% for-loop [84] 6.8% first-nonzero-exp [31] 7.3% ??? [154] 8.7% loop [15] 8.7% for-loop [17] 10.8% ??? [3] 31.4% [163] 9800(30.4%) 1004(3.1%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 40.1% matcher [173] 11.6% ??? [4] 11.2% f40 [122] 8.4% ??? [6] 6.5% ??? [170] 6.2% parse-loop74 [5] 3.3% taylor [171] 2.5% parse-loop15 [177] 2.0% simplify [176] 1.0% f61 [137] 0.9% ??? [12] 0.4% simplify* [139] 0.4% ??? [13] 0.1% -------------------------------------------------------------------------- ??? [154] 100.0% [164] 1006(3.1%) 200(0.6%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [172] 80.1% -------------------------------------------------------------------------- ??? [154] 100.0% [165] 412(1.3%) 206(0.6%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 bfmul [172] 50.0% -------------------------------------------------------------------------- ??? [154] 100.0% [166] 408(1.3%) 206(0.6%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [180] 49.5% -------------------------------------------------------------------------- pattern-match [160] 49.8% for-loop [102] 50.2% [167] 402(1.2%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 core457 [174] 100.0% -------------------------------------------------------------------------- parse-loop389 [161] 16.7% parse-loop368 [168] 16.7% append-map [147] 66.7% [168] 400(1.2%) 200(0.6%) parse-loop368 (unknown source) parse-loop368 [168] 16.7% gather-additive-terms6 [178] 16.7% make-multiplication-node [175] 16.7% -------------------------------------------------------------------------- binding-lookup52 [156] 100.0% [169] 202(0.6%) 202(0.6%) binding->module-instance (unknown source) -------------------------------------------------------------------------- hash-ref! [163] 100.0% [170] 5336(16.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [163] 100.0% -------------------------------------------------------------------------- approximate9 [2] 7.6% for-loop [21] 12.0% hash-ref! [163] 16.3% map [128] 18.8% taylor [171] 45.3% [171] 4272(13.2%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [171] 45.3% map [128] 24.7% debug5 [181] 11.7% debug-print [179] 10.2% taylor-invert [8] 2.8% taylor-quotient [27] 2.3% loop [121] 0.7% variable? [197] 0.6% -------------------------------------------------------------------------- ival-div [165] 12.8% ival-add [62] 37.2% ival-mult [164] 50.0% [172] 1612(5.0%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [180] 50.0% ??? [182] 50.0% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [173] 1228(3.8%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [9] 49.5% rewriter [78] 49.5% constant? [183] 0.9% -------------------------------------------------------------------------- for-loop [167] 100.0% [174] 402(1.2%) 0(0.0%) core457 ...acket/contract/private/arr-i.rkt:976:19 build-unary-very-simple--> [185] 50.2% or/c [187] 49.8% -------------------------------------------------------------------------- parse-loop368 [168] 50.0% map [128] 50.0% [175] 400(1.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [184] 100.0% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [176] 200(0.6%) 0(0.0%) simplify ...rbie/findroot/src/core/reduce.rkt:16:0 f16 [188] 100.0% -------------------------------------------------------------------------- hash-ref! [163] 100.0% [177] 200(0.6%) 0(0.0%) parse-loop15 (unknown source) map [128] 80.0% for-loop [186] 20.0% -------------------------------------------------------------------------- parse-loop368 [168] 100.0% [178] 200(0.6%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:68:0 append-map [147] 100.0% -------------------------------------------------------------------------- taylor [171] 100.0% [179] 1202(3.7%) 202(0.6%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [189] 66.6% for-loop [191] 16.6% -------------------------------------------------------------------------- bf [166] 20.0% bfmul [172] 80.0% [180] 1008(3.1%) 1008(3.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 -------------------------------------------------------------------------- taylor [171] 100.0% [181] 832(2.6%) 630(2.0%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 ??? [57] 24.3% -------------------------------------------------------------------------- bfmul [172] 100.0% [182] 806(2.5%) 806(2.5%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 -------------------------------------------------------------------------- inductor [101] 48.6% matcher [173] 51.4% [183] 424(1.3%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [199] 100.0% -------------------------------------------------------------------------- make-multiplication-node [175] 100.0% [184] 400(1.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 group-by61 [190] 100.0% -------------------------------------------------------------------------- core457 [174] 100.0% [185] 202(0.6%) 202(0.6%) build-unary-very-simple--> ...val-first.rkt:1150:0 -------------------------------------------------------------------------- parse-loop15 [177] 100.0% [186] 200(0.6%) 200(0.6%) for-loop ...e/findroot/src/core/localize.rkt:45:21 -------------------------------------------------------------------------- core457 [174] 100.0% [187] 200(0.6%) 0(0.0%) or/c ...lects/racket/contract/private/orc.rkt:16:2 chaperone-contract? [192] 100.0% -------------------------------------------------------------------------- simplify [176] 100.0% [188] 200(0.6%) 0(0.0%) f16 (unknown source) loop [193] 100.0% -------------------------------------------------------------------------- debug-print [179] 100.0% [189] 800(2.5%) 200(0.6%) ??? .../contract/private/arrow-val-first.rkt:555:3 ~r92 [194] 50.0% mk-call [196] 25.0% -------------------------------------------------------------------------- make-multiplication-subnode [184] 100.0% [190] 400(1.2%) 400(1.2%) group-by61 ...t-7.5/collects/racket/list.rkt:771:0 -------------------------------------------------------------------------- debug-print [179] 100.0% [191] 200(0.6%) 200(0.6%) for-loop ...es/herbie/findroot/src/debug.rkt:116:2 -------------------------------------------------------------------------- or/c [187] 100.0% [192] 200(0.6%) 200(0.6%) chaperone-contract? ...ract/private/guts.rkt:135:0 -------------------------------------------------------------------------- f16 [188] 100.0% [193] 200(0.6%) 0(0.0%) loop ...s/herbie/findroot/src/core/reduce.rkt:18:2 type-of [195] 100.0% -------------------------------------------------------------------------- ??? [189] 100.0% [194] 400(1.2%) 400(1.2%) ~r92 ...acket-7.5/collects/racket/format.rkt:189:0 -------------------------------------------------------------------------- loop [193] 100.0% [195] 200(0.6%) 0(0.0%) type-of ...herbie/findroot/src/type-check.rkt:36:0 variable? [197] 100.0% -------------------------------------------------------------------------- ??? [189] 100.0% [196] 200(0.6%) 0(0.0%) mk-call ...tract/private/arrow-val-first.rkt:558:5 loop [198] 100.0% -------------------------------------------------------------------------- free-variables [157] 32.2% type-of [195] 32.2% taylor [171] 35.7% [197] 622(1.9%) 222(0.7%) variable? .../findroot/src/syntax/syntax.rkt:729:0 value? [199] 64.3% -------------------------------------------------------------------------- mk-call [196] 100.0% [198] 200(0.6%) 0(0.0%) loop ...contract/private/arrow-val-first.rkt:562:8 ??? [200] 100.0% -------------------------------------------------------------------------- variable? [197] 48.5% constant? [183] 51.5% [199] 824(2.6%) 824(2.6%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 -------------------------------------------------------------------------- loop [198] 100.0% [200] 200(0.6%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:567:4 ??? [201] 100.0% -------------------------------------------------------------------------- ??? [200] 100.0% [201] 200(0.6%) 200(0.6%) ??? ...ects/racket/contract/private/list.rkt:690:0 --------------------------------------------------------------------------