Profiling results ----------------- Total cpu time observed: 30966ms (out of 31768ms) Number of samples taken: 148 (once every 209ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 208 hidden) ======================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================================== [1] 30966(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [10] 100.0% ---------------------------------------------------------------------------------------- ??? [168] 100.0% [2] 2712(8.8%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [12] 61.7% for-loop [15] 22.7% taylor [20] 8.0% f40 [115] 7.7% ---------------------------------------------------------------------------------------- for-loop [176] 100.0% [3] 1224(4.0%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [11] 81.9% datum->syntax6 [116] 18.1% ---------------------------------------------------------------------------------------- for-loop [176] 100.0% [4] 1004(3.2%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [11] 100.0% ---------------------------------------------------------------------------------------- hash-ref! [98] 100.0% [5] 670(2.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [13] 100.0% ---------------------------------------------------------------------------------------- matcher [109] 100.0% [6] 624(2.0%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [14] 100.0% ---------------------------------------------------------------------------------------- loop [164] 100.0% [7] 218(0.7%) 0(0.0%) egg-expr->expr ...s/egg-herbie-linux/main.rkt:55:0 read [16] 100.0% ---------------------------------------------------------------------------------------- map [119] 100.0% [8] 216(0.7%) 0(0.0%) f61 (unknown source) composed [17] 100.0% ---------------------------------------------------------------------------------------- loop [164] 100.0% [9] 200(0.6%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [11] 100.0% ---------------------------------------------------------------------------------------- ??? [1] 100.0% [10] 30966(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [18] 100.0% ---------------------------------------------------------------------------------------- core-form-sym [9] 7.1% expand-id-application-form17 [185] 21.4% expand-implicit [3] 35.7% expand-identifier [4] 35.8% [11] 2808(9.1%) 400(1.3%) resolve+shift28 (unknown source) fallback-loop [19] 85.8% ---------------------------------------------------------------------------------------- approximate9 [2] 100.0% [12] 1672(5.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [98] 60.2% ??? [168] 27.9% for-loop [23] 12.0% ---------------------------------------------------------------------------------------- ??? [5] 100.0% [13] 670(2.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [98] 100.0% ---------------------------------------------------------------------------------------- ??? [6] 100.0% [14] 624(2.0%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [98] 100.0% ---------------------------------------------------------------------------------------- approximate9 [2] 100.0% [15] 616(2.0%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [20] 67.5% taylor-quotient [25] 32.5% ---------------------------------------------------------------------------------------- egg-expr->expr [7] 100.0% [16] 218(0.7%) 0(0.0%) read (unknown source) read32 [21] 100.0% ---------------------------------------------------------------------------------------- f61 [8] 100.0% [17] 216(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [22] 100.0% ---------------------------------------------------------------------------------------- profile-thunk16 [10] 100.0% [18] 30966(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [24] 100.0% ---------------------------------------------------------------------------------------- resolve+shift28 [11] 100.0% [19] 2408(7.8%) 404(1.3%) fallback-loop (unknown source) for-loop [176] 83.2% ---------------------------------------------------------------------------------------- hash-ref! [98] 12.0% approximate9 [2] 26.0% taylor [20] 28.0% for-loop [15] 34.0% [20] 832(2.7%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor-quotient [25] 51.9% taylor [20] 28.0% taylor-invert [29] 12.0% debug5 [28] 8.0% ---------------------------------------------------------------------------------------- read [16] 100.0% [21] 218(0.7%) 0(0.0%) read32 (unknown source) read-undotted [26] 100.0% ---------------------------------------------------------------------------------------- composed [17] 33.3% append-map [27] 66.7% [22] 216(0.7%) 0(0.0%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [27] 66.7% constant? [146] 33.3% ---------------------------------------------------------------------------------------- loop [12] 100.0% [23] 200(0.6%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:95:29 ??? [56] 100.0% ---------------------------------------------------------------------------------------- for-loop [106] 7.3% run [18] 92.7% [24] 30966(100.0%) 1218(3.9%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [30] 66.4% prepare-points-intervals [37] 15.7% oracle-error [31] 4.5% ??? [169] 3.6% get-final-combination [32] 3.5% ??? [168] 1.4% errors [97] 1.3% eval-errors [35] 0.6% loop [164] 0.6% ---------------------------------------------------------------------------------------- for-loop [15] 31.6% taylor [20] 68.4% [25] 632(2.0%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [33] 65.8% f40 [115] 34.2% ---------------------------------------------------------------------------------------- read32 [21] 100.0% [26] 218(0.7%) 0(0.0%) read-undotted (unknown source) read-unwrapped-sequence17 [34] 100.0% ---------------------------------------------------------------------------------------- free-variables [22] 100.0% [27] 216(0.7%) 0(0.0%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [22] 100.0% ---------------------------------------------------------------------------------------- taylor [20] 100.0% [28] 200(0.6%) 200(0.6%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 ---------------------------------------------------------------------------------------- taylor [20] 100.0% [29] 200(0.6%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [122] 100.0% ---------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [24] 100.0% [30] 22620(73.0%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [36] 96.3% prepare-points-intervals [37] 2.4% simplify! [47] 1.3% ---------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [24] 100.0% [31] 1408(4.5%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [38] 100.0% ---------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [24] 100.0% [32] 1070(3.5%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [39] 100.0% ---------------------------------------------------------------------------------------- taylor-quotient [25] 100.0% [33] 416(1.3%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [98] 100.0% ---------------------------------------------------------------------------------------- read-undotted [26] 100.0% [34] 218(0.7%) 0(0.0%) read-unwrapped-sequence17 (unknown source) loop [164] 100.0% ---------------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [24] 100.0% [35] 200(0.6%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [40] 100.0% ---------------------------------------------------------------------------------------- run-improve47 [30] 100.0% [36] 21792(70.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [41] 100.0% ---------------------------------------------------------------------------------------- run-improve47 [30] 9.9% .../more-scheme.rkt:261:28 [24] 90.1% [37] 5404(17.5%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [42] 95.6% loop [164] 4.4% ---------------------------------------------------------------------------------------- oracle-error [31] 100.0% [38] 1408(4.5%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [164] 100.0% ---------------------------------------------------------------------------------------- get-final-combination [32] 100.0% [39] 1070(3.5%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [43] 100.0% ---------------------------------------------------------------------------------------- eval-errors [35] 100.0% [40] 200(0.6%) 200(0.6%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ---------------------------------------------------------------------------------------- for-loop [36] 100.0% [41] 21792(70.4%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [44] 71.6% gen-series! [46] 12.4% simplify! [47] 9.2% gen-rewrites! [49] 4.9% localize! [51] 1.0% choose-best-alt! [52] 0.9% ---------------------------------------------------------------------------------------- prepare-points-intervals [37] 100.0% [42] 5164(16.7%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [45] 80.6% ??? [50] 19.4% ---------------------------------------------------------------------------------------- infer-splitpoints [39] 100.0% [43] 1070(3.5%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [48] 100.0% ---------------------------------------------------------------------------------------- run-iter! [41] 100.0% [44] 15600(50.4%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [53] 100.0% ---------------------------------------------------------------------------------------- loop [42] 100.0% [45] 4164(13.4%) 602(1.9%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [168] 48.8% ??? [56] 20.0% real->precision [58] 16.7% ---------------------------------------------------------------------------------------- run-iter! [41] 100.0% [46] 2712(8.8%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [54] 100.0% ---------------------------------------------------------------------------------------- run-improve47 [30] 12.8% run-iter! [41] 87.2% [47] 2296(7.4%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [55] 90.9% for-loop [62] 9.1% ---------------------------------------------------------------------------------------- for-loop [43] 100.0% [48] 1070(3.5%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 sort-context-on-expr [59] 60.6% for-loop [61] 20.7% err-lsts->split-indices [64] 18.7% ---------------------------------------------------------------------------------------- run-iter! [41] 100.0% [49] 1070(3.5%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [57] 79.3% for-loop [60] 20.7% ---------------------------------------------------------------------------------------- loop [42] 100.0% [50] 1000(3.2%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [167] 80.0% loop [164] 20.0% ---------------------------------------------------------------------------------------- run-iter! [41] 100.0% [51] 208(0.7%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [63] 100.0% ---------------------------------------------------------------------------------------- run-iter! [41] 100.0% [52] 200(0.6%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [65] 100.0% ---------------------------------------------------------------------------------------- finalize-iter! [44] 100.0% [53] 15600(50.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [66] 98.4% atab-add-altns [72] 1.6% ---------------------------------------------------------------------------------------- gen-series! [46] 100.0% [54] 2712(8.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [67] 100.0% ---------------------------------------------------------------------------------------- simplify! [47] 100.0% [55] 2088(6.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [68] 86.1% loop [164] 13.9% ---------------------------------------------------------------------------------------- for-loop [23] 19.3% loop [45] 80.7% [56] 1034(3.3%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sub [70] 80.7% f238 [74] 19.3% ---------------------------------------------------------------------------------------- gen-rewrites! [49] 100.0% [57] 848(2.7%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [69] 100.0% ---------------------------------------------------------------------------------------- loop [45] 100.0% [58] 694(2.2%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [168] 71.2% ??? [75] 28.8% ---------------------------------------------------------------------------------------- option-on-expr [48] 100.0% [59] 648(2.1%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [71] 100.0% ---------------------------------------------------------------------------------------- gen-rewrites! [49] 100.0% [60] 222(0.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:208:4 for-loop [73] 100.0% ---------------------------------------------------------------------------------------- option-on-expr [48] 100.0% [61] 222(0.7%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [97] 100.0% ---------------------------------------------------------------------------------------- simplify! [47] 100.0% [62] 208(0.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:229:6 ??? [168] 100.0% ---------------------------------------------------------------------------------------- localize! [51] 100.0% [63] 208(0.7%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [98] 100.0% ---------------------------------------------------------------------------------------- option-on-expr [48] 100.0% [64] 200(0.6%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [76] 100.0% ---------------------------------------------------------------------------------------- choose-best-alt! [52] 100.0% [65] 200(0.6%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [77] 100.0% ---------------------------------------------------------------------------------------- ??? [53] 100.0% [66] 15358(49.6%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [78] 61.3% errors [97] 29.2% loop [82] 5.4% override-at-pnts [90] 2.6% ---------------------------------------------------------------------------------------- for-loop [54] 100.0% [67] 2712(8.8%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [79] 100.0% ---------------------------------------------------------------------------------------- ??? [55] 100.0% [68] 1798(5.8%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [80] 100.0% ---------------------------------------------------------------------------------------- for-loop [57] 100.0% [69] 848(2.7%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [81] 100.0% ---------------------------------------------------------------------------------------- ??? [56] 100.0% [70] 834(2.7%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfsub [184] 100.0% ---------------------------------------------------------------------------------------- sort-context-on-expr [59] 100.0% [71] 648(2.1%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [83] 65.4% loop [100] 34.6% ---------------------------------------------------------------------------------------- ??? [53] 100.0% [72] 242(0.8%) 0(0.0%) atab-add-altns ...root/src/core/alt-table.rkt:40:0 atab-add-altn [78] 100.0% ---------------------------------------------------------------------------------------- for-loop [60] 100.0% [73] 222(0.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:209:6 change-apply [84] 100.0% ---------------------------------------------------------------------------------------- ??? [56] 33.3% f238 [74] 66.7% [74] 200(0.6%) 200(0.6%) f238 (unknown source) f238 [74] 66.7% ---------------------------------------------------------------------------------------- real->precision [58] 100.0% [75] 200(0.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:770:8 bigvalue? [85] 100.0% ---------------------------------------------------------------------------------------- err-lsts->split-indices [64] 100.0% [76] 200(0.6%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [86] 100.0% ---------------------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [65] 100.0% [77] 200(0.6%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [87] 100.0% ---------------------------------------------------------------------------------------- atab-add-altns [72] 2.5% for-loop [66] 97.5% [78] 9660(31.2%) 202(0.7%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [97] 93.8% loop [91] 2.1% override-at-pnts [90] 2.1% ---------------------------------------------------------------------------------------- taylor-alt [67] 100.0% [79] 2712(8.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [168] 100.0% ---------------------------------------------------------------------------------------- egraph-run [68] 100.0% [80] 1798(5.8%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [88] 74.5% loop [164] 25.5% ---------------------------------------------------------------------------------------- matcher [109] 40.7% rewrite-expression-head24 [69] 59.3% [81] 848(2.7%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [89] 100.0% ---------------------------------------------------------------------------------------- for-loop [66] 100.0% [82] 834(2.7%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [92] 48.7% map [119] 26.6% loop [91] 24.7% ---------------------------------------------------------------------------------------- ??? [71] 100.0% [83] 424(1.4%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 loop [100] 52.4% copying-mergesort [94] 47.6% ---------------------------------------------------------------------------------------- for-loop [73] 100.0% [84] 222(0.7%) 0(0.0%) change-apply ...findroot/src/core/matcher.rkt:69:0 pattern-substitute [93] 100.0% ---------------------------------------------------------------------------------------- ??? [75] 100.0% [85] 200(0.6%) 200(0.6%) bigvalue? ...ie/findroot/src/syntax/types.rkt:19:0 ---------------------------------------------------------------------------------------- loop [76] 100.0% [86] 200(0.6%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [95] 100.0% ---------------------------------------------------------------------------------------- ??? [77] 100.0% [87] 200(0.6%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [96] 100.0% ---------------------------------------------------------------------------------------- egraph-add-exprs [80] 100.0% [88] 1340(4.3%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [99] 83.3% egg-run-rules [103] 16.7% ---------------------------------------------------------------------------------------- rewriter [81] 100.0% [89] 848(2.7%) 224(0.7%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [98] 53.6% for-loop [102] 20.0% ---------------------------------------------------------------------------------------- atab-add-altn [78] 33.3% for-loop [66] 66.7% [90] 600(1.9%) 0(0.0%) override-at-pnts ...t/src/core/alt-table.rkt:129:0 for-loop [101] 100.0% ---------------------------------------------------------------------------------------- atab-add-altn [78] 49.3% loop [82] 50.7% [91] 406(1.3%) 406(1.3%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ---------------------------------------------------------------------------------------- loop [82] 8.0% loop [92] 92.0% [92] 406(1.3%) 406(1.3%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [92] 92.0% ---------------------------------------------------------------------------------------- pattern-substitute [93] 50.0% change-apply [84] 50.0% [93] 222(0.7%) 0(0.0%) pattern-substitute ...ot/src/core/matcher.rkt:45:0 pattern-substitute [93] 50.0% do-curry [104] 50.0% ---------------------------------------------------------------------------------------- generic-sort/key [83] 100.0% [94] 202(0.7%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 loop [100] 100.0% ---------------------------------------------------------------------------------------- for-loop [86] 100.0% [95] 200(0.6%) 200(0.6%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ---------------------------------------------------------------------------------------- loop [87] 100.0% [96] 200(0.6%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [97] 100.0% ---------------------------------------------------------------------------------------- ??? [96] 1.4% for-loop [61] 1.5% .../more-scheme.rkt:261:28 [24] 4.1% for-loop [66] 30.8% atab-add-altn [78] 62.2% [97] 14558(47.0%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [105] 64.5% for-loop [106] 31.1% eval [110] 1.5% loop [164] 1.5% eval-prog [113] 1.4% ---------------------------------------------------------------------------------------- localize-error [63] 2.5% ??? [108] 4.4% map [119] 5.1% for-loop [13] 6.9% ??? [107] 9.5% loop [12] 9.9% for-loop [14] 10.1% for-loop [89] 12.8% first-nonzero-exp [33] 15.3% ??? [168] 20.6% [98] 2720(8.8%) 218(0.7%) hash-ref! .../racket/private/more-scheme.rkt:376:2 f40 [115] 20.5% matcher [109] 20.3% ??? [107] 16.9% ??? [108] 14.3% parse-loop15 [111] 7.6% ??? [5] 6.9% parse-loop74 [122] 4.3% taylor [20] 3.7% ---------------------------------------------------------------------------------------- ??? [88] 100.0% [99] 1116(3.6%) 1116(3.6%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------------------------- copying-mergesort [94] 31.2% generic-sort/key [83] 34.3% ??? [71] 34.6% [100] 648(2.1%) 202(0.7%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ??? [168] 68.8% ---------------------------------------------------------------------------------------- override-at-pnts [90] 100.0% [101] 600(1.9%) 600(1.9%) for-loop ...findroot/src/core/alt-table.rkt:130:22 ---------------------------------------------------------------------------------------- for-loop [89] 100.0% [102] 406(1.3%) 200(0.6%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [112] 50.7% ---------------------------------------------------------------------------------------- ??? [88] 100.0% [103] 224(0.7%) 224(0.7%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 ---------------------------------------------------------------------------------------- pattern-substitute [93] 100.0% [104] 222(0.7%) 222(0.7%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ---------------------------------------------------------------------------------------- eval-const-expr [130] 6.6% errors [97] 93.4% [105] 10060(32.5%) 0(0.0%) temp85_0 (unknown source) compile15 [114] 100.0% ---------------------------------------------------------------------------------------- errors [97] 100.0% [106] 4524(14.6%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [24] 100.0% ---------------------------------------------------------------------------------------- hash-ref! [98] 100.0% [107] 1272(4.1%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [98] 84.1% f40 [115] 15.9% ---------------------------------------------------------------------------------------- hash-ref! [98] 100.0% [108] 1006(3.2%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [168] 69.9% hash-ref! [98] 30.1% ---------------------------------------------------------------------------------------- hash-ref! [98] 100.0% [109] 624(2.0%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [6] 50.0% rewriter [81] 50.0% ---------------------------------------------------------------------------------------- errors [97] 100.0% [110] 218(0.7%) 0(0.0%) eval (unknown source) datum->syntax6 [116] 100.0% ---------------------------------------------------------------------------------------- hash-ref! [98] 100.0% [111] 208(0.7%) 0(0.0%) parse-loop15 (unknown source) map [119] 100.0% ---------------------------------------------------------------------------------------- for-loop [102] 100.0% [112] 206(0.7%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [138] 100.0% ---------------------------------------------------------------------------------------- errors [97] 100.0% [113] 204(0.7%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 inductor [117] 100.0% ---------------------------------------------------------------------------------------- temp85_0 [105] 100.0% [114] 10060(32.5%) 0(0.0%) compile15 (unknown source) temp91_0 [118] 100.0% ---------------------------------------------------------------------------------------- approximate9 [2] 4.2% taylor-quotient [25] 4.4% ??? [107] 6.1% map [119] 37.7% hash-ref! [98] 47.6% [115] 1648(5.3%) 0(0.0%) f40 (unknown source) map [119] 100.0% ---------------------------------------------------------------------------------------- eval [110] 49.5% expand-implicit [3] 50.5% [116] 440(1.4%) 0(0.0%) datum->syntax6 (unknown source) loop [164] 100.0% ---------------------------------------------------------------------------------------- eval-prog [113] 100.0% [117] 204(0.7%) 204(0.7%) inductor ...herbie/findroot/src/programs.rkt:103:4 ---------------------------------------------------------------------------------------- compile15 [114] 100.0% [118] 10060(32.5%) 0(0.0%) temp91_0 (unknown source) temp118_0 [120] 83.2% compile-top9 [121] 16.8% ---------------------------------------------------------------------------------------- parse-loop15 [111] 10.0% loop [82] 10.7% f40 [115] 79.3% [119] 2078(6.7%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f40 [115] 29.9% ??? [124] 15.3% loop [123] 14.0% simplify* [127] 9.6% parse-loop74 [122] 9.6% simplify-node [125] 8.1% hash-ref! [98] 6.7% f61 [8] 3.5% make-multiplication-node [126] 3.3% ---------------------------------------------------------------------------------------- temp91_0 [118] 100.0% [120] 8370(27.0%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [128] 100.0% ---------------------------------------------------------------------------------------- temp91_0 [118] 100.0% [121] 1690(5.5%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [129] 100.0% ---------------------------------------------------------------------------------------- map [119] 23.1% taylor-invert [29] 23.1% hash-ref! [98] 53.7% [122] 864(2.8%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [130] 100.0% ---------------------------------------------------------------------------------------- map [119] 6.0% loop [123] 94.0% [123] 430(1.4%) 208(0.7%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [123] 94.0% ??? [132] 1.1% ---------------------------------------------------------------------------------------- map [119] 100.0% [124] 418(1.3%) 0(0.0%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [131] 100.0% ---------------------------------------------------------------------------------------- map [119] 100.0% [125] 408(1.3%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 loop [164] 51.0% gather-additive-terms6 [134] 49.0% ---------------------------------------------------------------------------------------- map [119] 100.0% [126] 206(0.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [133] 100.0% ---------------------------------------------------------------------------------------- map [119] 100.0% [127] 200(0.6%) 200(0.6%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 ---------------------------------------------------------------------------------------- loop [164] 9.3% temp118_0 [120] 90.7% [128] 9226(29.8%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [135] 86.4% dispatch-transformer41 [137] 6.7% loop [164] 2.6% expand-id-application-form17 [185] 2.2% syntax-e [136] 2.2% ---------------------------------------------------------------------------------------- compile-top9 [121] 100.0% [129] 1690(5.5%) 200(0.6%) compile-forms33 (unknown source) for-loop [176] 64.3% loop! [139] 23.9% ---------------------------------------------------------------------------------------- parse-loop74 [122] 100.0% [130] 864(2.8%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [105] 76.9% loop [164] 23.1% ---------------------------------------------------------------------------------------- ??? [124] 100.0% [131] 418(1.3%) 0(0.0%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [138] 100.0% ---------------------------------------------------------------------------------------- loop [123] 100.0% [132] 222(0.7%) 0(0.0%) ??? ...rbie/findroot/src/core/alt-table.rkt:185:12 loop [140] 100.0% ---------------------------------------------------------------------------------------- make-multiplication-node [126] 100.0% [133] 206(0.7%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 for-loop [141] 100.0% ---------------------------------------------------------------------------------------- simplify-node [125] 100.0% [134] 200(0.6%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:68:0 parse-loop368 [142] 100.0% ---------------------------------------------------------------------------------------- expand-capturing-lifts [128] 100.0% [135] 7970(25.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [143] 97.5% loop [164] 2.5% ---------------------------------------------------------------------------------------- expand-capturing-lifts [128] 6.0% loop [164] 30.3% for-loop [176] 63.6% [136] 3312(10.7%) 200(0.6%) syntax-e (unknown source) syntax-e/no-taint [144] 94.0% ---------------------------------------------------------------------------------------- expand-capturing-lifts [128] 25.3% for-loop [176] 74.7% [137] 2438(7.9%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [145] 100.0% ---------------------------------------------------------------------------------------- fix-up-variables [112] 33.0% for-loop [131] 67.0% [138] 624(2.0%) 206(0.7%) pattern-match ...indroot/src/core/matcher.rkt:29:0 constant? [146] 34.6% for-loop [148] 32.4% ---------------------------------------------------------------------------------------- compile-forms33 [129] 100.0% [139] 404(1.3%) 0(0.0%) loop! (unknown source) for-loop [176] 100.0% ---------------------------------------------------------------------------------------- ??? [132] 16.7% loop [140] 83.3% [140] 222(0.7%) 222(0.7%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [140] 83.3% ---------------------------------------------------------------------------------------- make-multiplication-subnode [133] 100.0% [141] 206(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/reduce.rkt:244:3 make-multiplication-subsubsubnode [147] 100.0% ---------------------------------------------------------------------------------------- gather-additive-terms6 [134] 100.0% [142] 200(0.6%) 200(0.6%) parse-loop368 (unknown source) ---------------------------------------------------------------------------------------- lambda-clause-expander [135] 14.5% for-loop [176] 85.5% [143] 7770(25.1%) 0(0.0%) finish-bodys (unknown source) for-loop [176] 100.0% ---------------------------------------------------------------------------------------- gf [165] 5.2% expand-id-application-form17 [185] 19.5% syntax-e [136] 75.3% [144] 4132(13.3%) 0(0.0%) syntax-e/no-taint (unknown source) loop [164] 100.0% ---------------------------------------------------------------------------------------- dispatch-transformer41 [137] 100.0% [145] 2438(7.9%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [149] 58.2% loop [164] 24.7% apply-post-expansion [151] 17.1% ---------------------------------------------------------------------------------------- free-variables [22] 50.0% pattern-match [138] 50.0% [146] 432(1.4%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [150] 100.0% ---------------------------------------------------------------------------------------- for-loop [141] 100.0% [147] 206(0.7%) 0(0.0%) make-multiplication-subsubsubnode ...uce.rkt:264:0 mterm->expr [152] 100.0% ---------------------------------------------------------------------------------------- pattern-match [138] 100.0% [148] 202(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 core457 [153] 100.0% ---------------------------------------------------------------------------------------- apply-transformer52 [145] 100.0% [149] 1420(4.6%) 406(1.3%) apply-transformer-in-context (unknown source) parse-app [154] 42.8% go [155] 14.5% ??? [158] 14.1% ---------------------------------------------------------------------------------------- constant? [146] 100.0% [150] 432(1.4%) 432(1.4%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ---------------------------------------------------------------------------------------- apply-transformer52 [145] 100.0% [151] 416(1.3%) 0(0.0%) apply-post-expansion (unknown source) gf [165] 100.0% ---------------------------------------------------------------------------------------- make-multiplication-subsubsubnode [147] 100.0% [152] 206(0.7%) 0(0.0%) mterm->expr .../findroot/src/core/reduce.rkt:272:0 type-of [156] 100.0% ---------------------------------------------------------------------------------------- for-loop [148] 100.0% [153] 202(0.7%) 0(0.0%) core457 ...acket/contract/private/arr-i.rkt:976:19 or/c [157] 100.0% ---------------------------------------------------------------------------------------- apply-transformer-in-context [149] 100.0% [154] 608(2.0%) 0(0.0%) parse-app ...collects/racket/private/kw.rkt:1142:2 syntax->list [163] 66.1% ??? [160] 33.9% ---------------------------------------------------------------------------------------- apply-transformer-in-context [149] 100.0% [155] 206(0.7%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [159] 100.0% ---------------------------------------------------------------------------------------- mterm->expr [152] 100.0% [156] 206(0.7%) 0(0.0%) type-of ...herbie/findroot/src/type-check.rkt:36:0 variable? [161] 100.0% ---------------------------------------------------------------------------------------- core457 [153] 100.0% [157] 202(0.7%) 202(0.7%) or/c ...lects/racket/contract/private/orc.rkt:16:2 ---------------------------------------------------------------------------------------- apply-transformer-in-context [149] 100.0% [158] 200(0.6%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [162] 100.0% ---------------------------------------------------------------------------------------- go [155] 25.0% loop [159] 75.0% [159] 206(0.7%) 206(0.7%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [159] 75.0% ---------------------------------------------------------------------------------------- parse-app [154] 100.0% [160] 206(0.7%) 206(0.7%) ??? ...-7.5/collects/racket/private/kw.rkt:1147:27 ---------------------------------------------------------------------------------------- type-of [156] 100.0% [161] 206(0.7%) 206(0.7%) variable? .../findroot/src/syntax/syntax.rkt:729:0 ---------------------------------------------------------------------------------------- ??? [158] 100.0% [162] 200(0.6%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [163] 100.0% ---------------------------------------------------------------------------------------- ??? [162] 33.2% parse-app [154] 66.8% [163] 602(1.9%) 0(0.0%) syntax->list (unknown source) loop [164] 100.0% ---------------------------------------------------------------------------------------- read-unwrapped-sequence17 [34] 0.0% egraph-add-exprs [80] 0.1% eval-const-expr [130] 0.2% ??? [55] 0.3% .../more-scheme.rkt:261:28 [24] 0.5% errors [97] 0.5% expand-capturing-lifts [128] 1.0% prepare-points-intervals [37] 1.0% lambda-clause-expander [135] 2.4% ??? [50] 2.4% apply-transformer52 [145] 2.5% simplify-node [125] 2.5% gf [165] 2.8% datum->syntax6 [116] 2.8% syntax->list [163] 3.7% for-loop [176] 6.6% for-loop [38] 8.0% loop [164] 26.5% syntax-e/no-taint [144] 36.1% [164] 8178(26.4%) 1722(5.6%) loop (unknown source) gf [165] 38.1% loop [164] 26.5% expand-id-application-form17 [185] 9.0% syntax-e [136] 5.7% ??? [166] 5.5% sample-multi-bounded [167] 2.4% expand-capturing-lifts [128] 2.2% for-loop [176] 1.0% core-form-sym [9] 0.5% egg-expr->expr [7] 0.0% ---------------------------------------------------------------------------------------- apply-post-expansion [151] 2.3% loop [164] 97.7% [165] 4332(14.0%) 218(0.7%) gf (unknown source) propagation-apply [170] 47.4% propagation-merge [172] 19.4% propagation-apply-shifted [173] 9.3% loop [164] 7.9% cache-or-reuse-hash [174] 4.7% cache-or-reuse-set [175] 4.6% syntax-e/no-taint [144] 1.7% ---------------------------------------------------------------------------------------- loop [164] 100.0% [166] 1208(3.9%) 200(0.6%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [169] 66.9% ??? [168] 16.6% ---------------------------------------------------------------------------------------- loop [164] 20.0% ??? [50] 80.0% [167] 1000(3.2%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [171] 100.0% ---------------------------------------------------------------------------------------- loop [12] 2.2% ??? [166] 2.9% for-loop [62] 3.0% ??? [108] 4.8% loop [100] 6.4% real->precision [58] 7.1% .../more-scheme.rkt:261:28 [24] 12.3% location-do [177] 16.0% for-loop [79] 16.0% loop [45] 29.3% [168] 6950(22.4%) 1996(6.4%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-mult [178] 17.3% location-do [177] 16.0% approximate9 [2] 16.0% ival-div [180] 11.9% hash-ref! [98] 7.1% successfully-got-the-right-kind-of-function [182] 3.0% ---------------------------------------------------------------------------------------- ??? [166] 26.4% .../more-scheme.rkt:261:28 [24] 73.6% [169] 3056(9.9%) 2010(6.5%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [179] 34.2% ---------------------------------------------------------------------------------------- gf [165] 100.0% [170] 2054(6.6%) 2054(6.6%) propagation-apply (unknown source) ---------------------------------------------------------------------------------------- sample-multi-bounded [167] 100.0% [171] 1000(3.2%) 200(0.6%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [181] 60.0% build--> [183] 20.0% ---------------------------------------------------------------------------------------- gf [165] 100.0% [172] 840(2.7%) 840(2.7%) propagation-merge (unknown source) ---------------------------------------------------------------------------------------- gf [165] 100.0% [173] 402(1.3%) 402(1.3%) propagation-apply-shifted (unknown source) ---------------------------------------------------------------------------------------- gf [165] 100.0% [174] 202(0.7%) 0(0.0%) cache-or-reuse-hash (unknown source) for-loop [176] 100.0% ---------------------------------------------------------------------------------------- gf [165] 100.0% [175] 200(0.6%) 200(0.6%) cache-or-reuse-set (unknown source) ---------------------------------------------------------------------------------------- cache-or-reuse-hash [174] 0.1% loop [164] 1.2% fallback-loop [19] 1.7% compile-let13 [196] 2.1% loop! [139] 2.1% compile-forms33 [129] 11.2% for-loop [176] 12.1% finish-bodys [143] 68.3% [176] 9700(31.3%) 2412(7.8%) for-loop (unknown source) finish-bodys [143] 60.4% for-loop [176] 12.1% compile-module-linklet57 [186] 11.2% compile5 [190] 3.1% dispatch-transformer41 [137] 2.7% syntax-e [136] 2.2% expand-implicit [3] 1.5% temp37_0 [191] 1.2% expand-identifier [4] 0.5% loop [164] 0.4% add-local-binding!39 [189] 0.2% expand-id-application-form17 [185] 0.2% ---------------------------------------------------------------------------------------- ??? [168] 27.2% location-do [177] 72.8% [177] 2712(8.8%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [177] 72.8% ??? [168] 27.2% ---------------------------------------------------------------------------------------- ??? [168] 100.0% [178] 1204(3.9%) 400(1.3%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfsub [184] 66.8% ---------------------------------------------------------------------------------------- ??? [169] 100.0% [179] 1046(3.4%) 604(2.0%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [188] 42.3% ---------------------------------------------------------------------------------------- ??? [168] 100.0% [180] 830(2.7%) 630(2.0%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 bfsub [184] 24.1% ---------------------------------------------------------------------------------------- random-ranges [171] 100.0% [181] 600(1.9%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [187] 100.0% ---------------------------------------------------------------------------------------- ??? [168] 100.0% [182] 208(0.7%) 0(0.0%) successfully-got-the-right-kind-of-function ...5:4 arity-checking-wrapper [192] 100.0% ---------------------------------------------------------------------------------------- random-ranges [171] 100.0% [183] 200(0.6%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [187] 100.0% ---------------------------------------------------------------------------------------- ival-div [180] 10.9% ival-mult [178] 43.7% ival-sub [70] 45.4% [184] 1838(5.9%) 202(0.7%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [193] 56.1% ??? [195] 32.9% ---------------------------------------------------------------------------------------- for-loop [176] 12.3% expand-capturing-lifts [128] 12.5% loop [164] 75.2% [185] 1604(5.2%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [144] 50.1% resolve+shift28 [11] 37.5% binding-lookup52 [198] 12.3% ---------------------------------------------------------------------------------------- for-loop [176] 100.0% [186] 1086(3.5%) 1086(3.5%) compile-module-linklet57 (unknown source) ---------------------------------------------------------------------------------------- build--> [183] 25.0% cons/c [181] 75.0% [187] 800(2.6%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [194] 100.0% ---------------------------------------------------------------------------------------- return/no-unsupplied [179] 100.0% [188] 442(1.4%) 442(1.4%) filter ...5/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------------------------- for-loop [176] 100.0% [189] 408(1.3%) 408(1.3%) add-local-binding!39 (unknown source) ---------------------------------------------------------------------------------------- compile-let13 [196] 25.5% for-loop [176] 74.5% [190] 404(1.3%) 198(0.6%) compile5 (unknown source) compile-let13 [196] 75.5% ---------------------------------------------------------------------------------------- for-loop [176] 100.0% [191] 240(0.8%) 0(0.0%) temp37_0 (unknown source) [running body] [197] 100.0% ---------------------------------------------------------------------------------------- successfully-got-the-right-kind-of-function [182]100.0% [192] 208(0.7%) 208(0.7%) arity-checking-wrapper ...w-higher-order.rkt:443:0 ---------------------------------------------------------------------------------------- bfsub [184] 100.0% [193] 1032(3.3%) 1032(3.3%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ---------------------------------------------------------------------------------------- coerce-contract [187] 100.0% [194] 800(2.6%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [199] 100.0% ---------------------------------------------------------------------------------------- bfsub [184] 100.0% [195] 604(2.0%) 604(2.0%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------------------------- compile-let13 [196] 30.6% compile5 [190] 69.4% [196] 404(1.3%) 0(0.0%) compile-let13 (unknown source) for-loop [176] 59.2% compile-let13 [196] 30.6% compile5 [190] 10.2% ---------------------------------------------------------------------------------------- temp37_0 [191] 100.0% [197] 240(0.8%) 0(0.0%) [running body] ....5/collects/racket/port.rkt":##f .get-syntax-literal! [200] 100.0% ---------------------------------------------------------------------------------------- expand-id-application-form17 [185] 100.0% [198] 198(0.6%) 198(0.6%) binding-lookup52 (unknown source) ---------------------------------------------------------------------------------------- coerce-contract/f [194] 100.0% [199] 800(2.6%) 800(2.6%) coerce-simple-value ...ract/private/guts.rkt:385:0 ---------------------------------------------------------------------------------------- [running body] [197] 100.0% [200] 240(0.8%) 0(0.0%) .get-syntax-literal! (unknown source) .deserialize-syntax [201] 100.0% ---------------------------------------------------------------------------------------- .get-syntax-literal! [200] 100.0% [201] 240(0.8%) 240(0.8%) .deserialize-syntax (unknown source) ----------------------------------------------------------------------------------------