Profiling results ----------------- Total cpu time observed: 29294ms (out of 29360ms) Number of samples taken: 140 (once every 209ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 200 hidden) =================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================================== [1] 29294(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [15] 100.0% ----------------------------------------------------------------------------------- ??? [135] 100.0% [2] 7532(25.7%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [16] 67.0% for-loop [22] 19.1% taylor-quotient [21] 11.3% taylor [122] 2.7% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [3] 3396(11.6%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [112] 72.6% f61 [168] 21.4% ??? [30] 5.9% ----------------------------------------------------------------------------------- loop [166] 13.1% for-loop [167] 86.9% [4] 3060(10.4%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [17] 100.0% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [5] 2894(9.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [18] 100.0% ----------------------------------------------------------------------------------- expand-capturing-lifts [158] 7.6% loop [166] 31.2% for-loop [167] 61.2% [6] 2698(9.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [19] 100.0% ----------------------------------------------------------------------------------- ??? [135] 4.0% map [91] 47.0% hash-ref! [112] 49.0% [7] 2496(8.5%) 0(0.0%) f40 (unknown source) map [91] 100.0% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [8] 2478(8.5%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [20] 100.0% ----------------------------------------------------------------------------------- for-loop [167] 100.0% [9] 1018(3.5%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [23] 60.7% binding-lookup52 [176] 19.6% datum->syntax6 [49] 19.6% ----------------------------------------------------------------------------------- taylor [122] 100.0% [10] 602(2.1%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [28] 66.8% first-nonzero-exp [31] 33.2% ----------------------------------------------------------------------------------- for-loop [167] 100.0% [11] 398(1.4%) 0(0.0%) dispatch-variable (unknown source) substitute-variable6 [24] 100.0% ----------------------------------------------------------------------------------- gather-additive-terms6 [12] 50.0% simplify-node [105] 50.0% [12] 218(0.7%) 0(0.0%) gather-additive-terms6 ...src/core/reduce.rkt:68:0 gather-additive-terms6 [12] 50.0% parse-loop368 [25] 50.0% ----------------------------------------------------------------------------------- matcher [133] 100.0% [13] 200(0.7%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [26] 100.0% ----------------------------------------------------------------------------------- for-loop [167] 100.0% [14] 200(0.7%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [23] 100.0% ----------------------------------------------------------------------------------- ??? [1] 100.0% [15] 29294(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [27] 100.0% ----------------------------------------------------------------------------------- approximate9 [2] 100.0% [16] 5044(17.2%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [112] 85.9% ??? [135] 14.1% ----------------------------------------------------------------------------------- gf [193] 5.6% expand-id-application-form17 [170] 10.9% syntax-e [4] 83.5% [17] 3666(12.5%) 0(0.0%) syntax-e/no-taint (unknown source) loop [166] 100.0% ----------------------------------------------------------------------------------- ??? [5] 100.0% [18] 2894(9.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [112] 93.1% f61 [168] 6.9% ----------------------------------------------------------------------------------- dispatch-transformer41 [6] 100.0% [19] 2698(9.2%) 200(0.7%) apply-transformer52 (unknown source) apply-transformer-in-context [29] 62.5% loop [166] 22.5% apply-post-expansion [34] 7.6% ----------------------------------------------------------------------------------- ??? [8] 100.0% [20] 2478(8.5%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [112] 53.1% ??? [30] 38.9% f61 [168] 8.1% ----------------------------------------------------------------------------------- taylor [122] 13.9% hash-ref! [112] 27.6% approximate9 [2] 58.5% [21] 1454(5.0%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [31] 72.4% parse-loop74 [28] 27.6% ----------------------------------------------------------------------------------- approximate9 [2] 100.0% [22] 1438(4.9%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [122] 85.4% taylor-sqrt [33] 14.6% ----------------------------------------------------------------------------------- expand-identifier [14] 16.4% core-form-sym [171] 33.1% expand-implicit [9] 50.6% [23] 1222(4.2%) 204(0.7%) resolve+shift28 (unknown source) fallback-loop [32] 83.3% ----------------------------------------------------------------------------------- dispatch-variable [11] 100.0% [24] 398(1.4%) 198(0.7%) substitute-variable6 (unknown source) datum->syntax6 [49] 50.3% ----------------------------------------------------------------------------------- gather-additive-terms6 [12] 100.0% [25] 218(0.7%) 0(0.0%) parse-loop368 (unknown source) simplify-node [105] 100.0% ----------------------------------------------------------------------------------- ??? [13] 100.0% [26] 200(0.7%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- profile-thunk16 [15] 100.0% [27] 29294(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [35] 100.0% ----------------------------------------------------------------------------------- taylor-invert [10] 15.1% taylor-quotient [21] 15.1% map [91] 23.7% hash-ref! [112] 46.2% [28] 2668(9.1%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [174] 100.0% ----------------------------------------------------------------------------------- apply-transformer52 [19] 100.0% [29] 1686(5.8%) 208(0.7%) apply-transformer-in-context (unknown source) go [36] 37.7% datum->syntax6 [49] 26.1% parse-app [37] 12.0% ??? [38] 11.9% ----------------------------------------------------------------------------------- ??? [3] 15.9% for-loop [20] 84.1% [30] 1268(4.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- taylor-invert [10] 16.0% taylor-quotient [21] 84.0% [31] 1252(4.3%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- resolve+shift28 [23] 100.0% [32] 1018(3.5%) 418(1.4%) fallback-loop (unknown source) for-loop [167] 58.9% ----------------------------------------------------------------------------------- map [91] 24.0% for-loop [22] 25.2% taylor [122] 50.7% [33] 832(2.8%) 0(0.0%) taylor-sqrt .../findroot/src/core/taylor.rkt:351:0 hash-ref! [112] 73.8% f61 [168] 26.2% ----------------------------------------------------------------------------------- apply-transformer52 [19] 100.0% [34] 206(0.7%) 0(0.0%) apply-post-expansion (unknown source) gf [193] 100.0% ----------------------------------------------------------------------------------- for-loop [121] 5.5% run [27] 94.5% [35] 29294(100.0%) 802(2.7%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [39] 65.0% prepare-points-intervals [40] 19.3% oracle-error [41] 4.8% ??? [175] 3.4% errors [111] 2.1% get-final-combination [42] 2.0% eval-errors [44] 1.4% ulp-difference [178] 0.4% ----------------------------------------------------------------------------------- apply-transformer-in-context [29] 100.0% [36] 636(2.2%) 218(0.7%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [43] 65.7% ----------------------------------------------------------------------------------- apply-transformer-in-context [29] 100.0% [37] 202(0.7%) 202(0.7%) parse-app ...collects/racket/private/kw.rkt:1142:2 ----------------------------------------------------------------------------------- apply-transformer-in-context [29] 100.0% [38] 200(0.7%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [45] 100.0% ----------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [35] 100.0% [39] 20236(69.1%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [46] 98.9% simplify! [60] 1.1% ----------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [35] 100.0% [40] 5640(19.3%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [47] 96.5% temp85_0 [119] 3.5% ----------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [35] 100.0% [41] 1408(4.8%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [48] 100.0% ----------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [35] 100.0% [42] 600(2.0%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [50] 100.0% ----------------------------------------------------------------------------------- loop [43] 26.1% go [36] 73.9% [43] 418(1.4%) 0(0.0%) loop ...llects/racket/private/qq-and-or.rkt:101:61 stx-car [52] 47.8% loop [43] 26.1% datum->syntax6 [49] 26.1% ----------------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [35] 100.0% [44] 400(1.4%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [51] 100.0% ----------------------------------------------------------------------------------- ??? [38] 100.0% [45] 200(0.7%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [53] 100.0% ----------------------------------------------------------------------------------- run-improve47 [39] 100.0% [46] 20008(68.3%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [54] 100.0% ----------------------------------------------------------------------------------- prepare-points-intervals [40] 100.0% [47] 5440(18.6%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [55] 81.2% ??? [56] 11.2% do-curry [128] 7.5% ----------------------------------------------------------------------------------- oracle-error [41] 100.0% [48] 1408(4.8%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [91] 56.8% loop [166] 43.2% ----------------------------------------------------------------------------------- expand-implicit [9] 18.9% substitute-variable6 [24] 18.9% loop [43] 20.6% apply-transformer-in-context [29] 41.6% [49] 1058(3.6%) 640(2.2%) datum->syntax6 (unknown source) loop [166] 39.5% ----------------------------------------------------------------------------------- get-final-combination [42] 100.0% [50] 600(2.0%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [57] 67.0% loop [166] 33.0% ----------------------------------------------------------------------------------- eval-errors [44] 100.0% [51] 400(1.4%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [175] 100.0% ----------------------------------------------------------------------------------- loop [43] 100.0% [52] 200(0.7%) 200(0.7%) stx-car ....5/collects/racket/private/stx.rkt:67:4 ----------------------------------------------------------------------------------- ??? [45] 100.0% [53] 200(0.7%) 0(0.0%) syntax->list (unknown source) loop [166] 100.0% ----------------------------------------------------------------------------------- for-loop [46] 100.0% [54] 20008(68.3%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [58] 45.6% gen-series! [59] 38.6% simplify! [60] 9.6% localize! [63] 3.1% gen-rewrites! [66] 2.0% choose-best-alt! [68] 1.0% ----------------------------------------------------------------------------------- loop [47] 100.0% [55] 4420(15.1%) 402(1.4%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 real->precision [61] 27.2% ??? [135] 22.8% ...higher-order.rkt:375:33 [62] 18.1% ??? [136] 13.6% ...higher-order.rkt:379:33 [67] 4.7% ??? [69] 4.6% ----------------------------------------------------------------------------------- loop [47] 100.0% [56] 612(2.1%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [64] 100.0% ----------------------------------------------------------------------------------- infer-splitpoints [50] 100.0% [57] 402(1.4%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [65] 100.0% ----------------------------------------------------------------------------------- run-iter! [54] 100.0% [58] 9118(31.1%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [69] 100.0% ----------------------------------------------------------------------------------- run-iter! [54] 100.0% [59] 7732(26.4%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [70] 100.0% ----------------------------------------------------------------------------------- run-improve47 [39] 10.6% run-iter! [54] 89.4% [60] 2156(7.4%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [71] 100.0% ----------------------------------------------------------------------------------- loop [55] 100.0% [61] 1202(4.1%) 200(0.7%) real->precision ...findroot/src/programs.rkt:94:11 ??? [135] 83.4% ----------------------------------------------------------------------------------- loop [55] 100.0% [62] 800(2.7%) 400(1.4%) ...higher-order.rkt:375:33 (unknown source) loop [74] 50.0% ----------------------------------------------------------------------------------- run-iter! [54] 100.0% [63] 628(2.1%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [72] 100.0% ----------------------------------------------------------------------------------- ??? [56] 100.0% [64] 612(2.1%) 200(0.7%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [73] 67.3% ----------------------------------------------------------------------------------- for-loop [57] 100.0% [65] 402(1.4%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 sort-context-on-expr [77] 50.2% err-lsts->split-indices [78] 49.8% ----------------------------------------------------------------------------------- run-iter! [54] 100.0% [66] 402(1.4%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [76] 50.2% for-loop [80] 49.8% ----------------------------------------------------------------------------------- loop [55] 100.0% [67] 206(0.7%) 0(0.0%) ...higher-order.rkt:379:33 (unknown source) ??? [75] 100.0% ----------------------------------------------------------------------------------- run-iter! [54] 100.0% [68] 200(0.7%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [79] 100.0% ----------------------------------------------------------------------------------- variable? [192] 2.1% loop [55] 2.1% finalize-iter! [58] 95.8% [69] 9520(32.5%) 402(1.4%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [81] 95.8% ----------------------------------------------------------------------------------- gen-series! [59] 100.0% [70] 7732(26.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [82] 100.0% ----------------------------------------------------------------------------------- simplify! [60] 100.0% [71] 2156(7.4%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [83] 100.0% ----------------------------------------------------------------------------------- localize! [63] 100.0% [72] 628(2.1%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- sample-multi-bounded [64] 100.0% [73] 412(1.4%) 206(0.7%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [84] 50.0% ----------------------------------------------------------------------------------- ...higher-order.rkt:375:33 [62] 100.0% [74] 400(1.4%) 400(1.4%) loop .../herbie/findroot/src/biginterval.rkt:533:9 ----------------------------------------------------------------------------------- ...higher-order.rkt:379:33 [67] 100.0% [75] 206(0.7%) 206(0.7%) ??? ...cts/racket/contract/private/list.rkt:209:10 ----------------------------------------------------------------------------------- gen-rewrites! [66] 100.0% [76] 202(0.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:208:4 for-loop [85] 100.0% ----------------------------------------------------------------------------------- option-on-expr [65] 100.0% [77] 202(0.7%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [86] 100.0% ----------------------------------------------------------------------------------- option-on-expr [65] 100.0% [78] 200(0.7%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [87] 100.0% ----------------------------------------------------------------------------------- choose-best-alt! [68] 100.0% [79] 200(0.7%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [88] 100.0% ----------------------------------------------------------------------------------- gen-rewrites! [66] 100.0% [80] 200(0.7%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [89] 100.0% ----------------------------------------------------------------------------------- ??? [69] 100.0% [81] 9118(31.1%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [92] 55.6% errors [111] 37.8% loop [94] 4.4% map [91] 2.2% ----------------------------------------------------------------------------------- for-loop [70] 100.0% [82] 7732(26.4%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [90] 100.0% ----------------------------------------------------------------------------------- ??? [71] 100.0% [83] 2156(7.4%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [93] 100.0% ----------------------------------------------------------------------------------- random-ranges [73] 100.0% [84] 206(0.7%) 206(0.7%) build--> ...act/private/arrow-val-first.rkt:1214:0 ----------------------------------------------------------------------------------- for-loop [76] 100.0% [85] 202(0.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:209:6 change-apply [95] 100.0% ----------------------------------------------------------------------------------- sort-context-on-expr [77] 100.0% [86] 202(0.7%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [96] 100.0% ----------------------------------------------------------------------------------- err-lsts->split-indices [78] 100.0% [87] 200(0.7%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [97] 100.0% ----------------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [79] 100.0% [88] 200(0.7%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [99] 100.0% ----------------------------------------------------------------------------------- for-loop [80] 100.0% [89] 200(0.7%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [98] 100.0% ----------------------------------------------------------------------------------- taylor-alt [82] 100.0% [90] 7732(26.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [135] 100.0% ----------------------------------------------------------------------------------- gather-multiplicative-terms [115] 1.0% for-loop [81] 3.7% parse-loop15 [127] 11.7% for-loop [48] 14.9% taylor [122] 23.0% f40 [7] 45.6% [91] 5358(18.3%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 f40 [7] 21.2% taylor [122] 19.3% loop [101] 16.9% hash-ref! [112] 9.8% parse-loop49 [103] 7.9% parse-loop74 [28] 7.2% simplify* [102] 4.2% ??? [169] 3.8% taylor-sqrt [33] 3.7% f61 [168] 1.9% make-multiplication-node [129] 1.9% simplify-node [105] 1.0% gather-multiplicative-terms [115] 1.0% ??? [106] 0.4% ----------------------------------------------------------------------------------- for-loop [81] 100.0% [92] 5070(17.3%) 200(0.7%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [111] 96.1% ----------------------------------------------------------------------------------- egraph-run [83] 100.0% [93] 2156(7.4%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [100] 66.6% loop [166] 33.4% ----------------------------------------------------------------------------------- for-loop [81] 100.0% [94] 402(1.4%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [104] 100.0% ----------------------------------------------------------------------------------- for-loop [85] 100.0% [95] 202(0.7%) 0(0.0%) change-apply ...findroot/src/core/matcher.rkt:69:0 pattern-substitute [138] 100.0% ----------------------------------------------------------------------------------- ??? [86] 100.0% [96] 202(0.7%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [107] 100.0% ----------------------------------------------------------------------------------- loop [87] 100.0% [97] 200(0.7%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [108] 100.0% ----------------------------------------------------------------------------------- rewrite-expression-head24 [89] 20.0% matcher [133] 80.0% [98] 200(0.7%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [109] 100.0% ----------------------------------------------------------------------------------- ??? [88] 100.0% [99] 200(0.7%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [110] 100.0% ----------------------------------------------------------------------------------- egraph-add-exprs [93] 100.0% [100] 1436(4.9%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [113] 100.0% ----------------------------------------------------------------------------------- map [91] 38.8% loop [101] 61.2% [101] 1426(4.9%) 200(0.7%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [101] 61.2% ??? [169] 34.9% bf* [114] 1.5% ??? [126] 0.4% ----------------------------------------------------------------------------------- map [91] 100.0% [102] 622(2.1%) 200(0.7%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 hash-ref! [112] 67.8% ----------------------------------------------------------------------------------- map [91] 100.0% [103] 422(1.4%) 0(0.0%) parse-loop49 (unknown source) f61 [168] 52.6% loop [166] 47.4% ----------------------------------------------------------------------------------- loop [94] 5.4% loop [104] 94.6% [104] 402(1.4%) 402(1.4%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [104] 94.6% ----------------------------------------------------------------------------------- parse-loop368 [25] 50.0% map [91] 50.0% [105] 218(0.7%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 gather-additive-terms6 [12] 50.0% gather-multiplicative-terms [115] 50.0% ----------------------------------------------------------------------------------- map [91] 100.0% [106] 202(0.7%) 0(0.0%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [116] 100.0% ----------------------------------------------------------------------------------- generic-sort/key [96] 33.3% copying-mergesort [107] 66.7% [107] 202(0.7%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [107] 66.7% loop [117] 33.3% ----------------------------------------------------------------------------------- for-loop [97] 100.0% [108] 200(0.7%) 200(0.7%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ----------------------------------------------------------------------------------- rewriter [98] 100.0% [109] 200(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [112] 80.0% for-loop [118] 20.0% ----------------------------------------------------------------------------------- loop [99] 100.0% [110] 200(0.7%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [111] 100.0% ----------------------------------------------------------------------------------- ??? [110] 2.1% .../more-scheme.rkt:261:28 [35] 10.6% for-loop [81] 36.2% atab-add-altn [92] 51.1% [111] 9526(32.5%) 200(0.7%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [119] 59.8% for-loop [121] 33.8% loop [166] 2.2% eval-prog [132] 2.1% ----------------------------------------------------------------------------------- simplify* [102] 0.8% for-loop [26] 1.3% for-loop [109] 1.3% localize-error [72] 1.4% ??? [125] 2.0% ??? [124] 2.5% ??? [30] 3.3% for-loop [20] 3.6% ??? [123] 4.0% first-nonzero-exp [31] 5.7% ??? [3] 5.7% taylor-sqrt [33] 6.1% ??? [120] 6.6% map [91] 6.9% for-loop [18] 9.3% loop [16] 15.1% ??? [135] 24.5% [112] 7536(25.7%) 422(1.4%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [120] 21.6% ??? [3] 14.5% ??? [5] 9.8% parse-loop15 [127] 8.3% parse-loop74 [28] 7.2% ??? [8] 7.0% f40 [7] 6.0% taylor [122] 5.5% ??? [123] 4.0% f61 [168] 3.8% make-multiplication-node [129] 2.7% matcher [133] 2.7% ??? [124] 2.5% ??? [125] 2.0% taylor-quotient [21] 1.8% ----------------------------------------------------------------------------------- ??? [100] 100.0% [113] 1436(4.9%) 1436(4.9%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ----------------------------------------------------------------------------------- loop [101] 100.0% [114] 422(1.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [126] 100.0% ----------------------------------------------------------------------------------- gather-multiplicative-terms [115] 33.3% map [91] 33.3% simplify-node [105] 33.3% [115] 218(0.7%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:110:0 map [91] 33.3% gather-multiplicative-terms [115] 33.3% do-curry [128] 33.3% ----------------------------------------------------------------------------------- ??? [106] 100.0% [116] 202(0.7%) 0(0.0%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [130] 100.0% ----------------------------------------------------------------------------------- copying-mergesort [107] 100.0% [117] 202(0.7%) 0(0.0%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ??? 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[112] 28.8% ----------------------------------------------------------------------------------- errors [111] 100.0% [121] 3222(11.0%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [35] 100.0% ----------------------------------------------------------------------------------- approximate9 [2] 8.1% map [91] 14.6% hash-ref! [112] 14.9% for-loop [22] 17.8% taylor [122] 44.6% [122] 2470(8.4%) 422(1.4%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [122] 44.6% map [91] 16.6% debug-print [137] 13.4% taylor-invert [10] 6.8% taylor-sqrt [33] 6.1% taylor-quotient [21] 1.4% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [123] 1672(5.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [124] 1450(4.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:362:30 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [125] 806(2.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [112] 100.0% ----------------------------------------------------------------------------------- loop [101] 32.8% bf* [114] 67.2% [126] 628(2.1%) 406(1.4%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [155] 35.4% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [127] 628(2.1%) 0(0.0%) parse-loop15 (unknown source) map [91] 100.0% ----------------------------------------------------------------------------------- gather-multiplicative-terms [115] 34.8% loop [47] 65.2% [128] 626(2.1%) 626(2.1%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ----------------------------------------------------------------------------------- map [91] 50.0% hash-ref! [112] 50.0% [129] 400(1.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [139] 100.0% ----------------------------------------------------------------------------------- for-loop [116] 100.0% [130] 202(0.7%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [140] 100.0% ----------------------------------------------------------------------------------- for-loop [118] 100.0% [131] 200(0.7%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-substitute [138] 100.0% ----------------------------------------------------------------------------------- errors [111] 100.0% [132] 200(0.7%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 ??? [136] 100.0% ----------------------------------------------------------------------------------- hash-ref! [112] 100.0% [133] 200(0.7%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [13] 50.0% rewriter [98] 50.0% ----------------------------------------------------------------------------------- temp85_0 [119] 100.0% [134] 10538(36.0%) 0(0.0%) compile15 (unknown source) temp91_0 [141] 96.2% loop [166] 3.8% ----------------------------------------------------------------------------------- loop [117] 2.0% loop [16] 2.4% real->precision [61] 10.1% loop [55] 10.1% ??? [120] 14.5% location-do [142] 30.4% for-loop [90] 30.4% [135] 9942(33.9%) 602(2.1%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [142] 30.4% approximate9 [2] 29.4% hash-ref! [112] 16.9% ival-mult [143] 6.1% bf [144] 6.1% ival-div [147] 4.0% f40 [7] 1.0% ----------------------------------------------------------------------------------- eval-prog [132] 24.9% loop [55] 75.1% [136] 802(2.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sqrt [146] 49.9% ival-sub [148] 25.2% ??? [150] 24.9% ----------------------------------------------------------------------------------- taylor [122] 100.0% [137] 622(2.1%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 for-loop [145] 67.8% ??? [149] 32.2% ----------------------------------------------------------------------------------- change-apply [95] 16.7% fix-up-variables [131] 24.9% pattern-substitute [138] 58.4% [138] 402(1.4%) 0(0.0%) pattern-substitute ...ot/src/core/matcher.rkt:45:0 pattern-substitute [138] 58.4% constant? [188] 24.9% ??? [179] 16.7% ----------------------------------------------------------------------------------- make-multiplication-node [129] 100.0% [139] 400(1.4%) 200(0.7%) make-multiplication-subnode ...re/reduce.rkt:242:0 for-loop [151] 50.0% ----------------------------------------------------------------------------------- pattern-match [130] 100.0% [140] 202(0.7%) 202(0.7%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 ----------------------------------------------------------------------------------- compile15 [134] 100.0% [141] 10134(34.6%) 0(0.0%) temp91_0 (unknown source) temp118_0 [152] 88.7% compile-top9 [153] 11.3% ----------------------------------------------------------------------------------- loop [154] 1.9% ??? [135] 45.9% location-do [142] 52.2% [142] 7732(26.4%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [142] 52.2% ??? [135] 45.9% loop [154] 1.9% ----------------------------------------------------------------------------------- ??? [135] 100.0% [143] 606(2.1%) 200(0.7%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [155] 67.0% ----------------------------------------------------------------------------------- ??? [135] 100.0% [144] 602(2.1%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [161] 66.8% ??? [160] 33.2% ----------------------------------------------------------------------------------- debug-print [137] 100.0% [145] 422(1.4%) 422(1.4%) for-loop ...es/herbie/findroot/src/debug.rkt:116:2 ----------------------------------------------------------------------------------- ??? [136] 100.0% [146] 400(1.4%) 400(1.4%) ival-sqrt ...ie/findroot/src/biginterval.rkt:205:0 ----------------------------------------------------------------------------------- ??? [135] 100.0% [147] 400(1.4%) 400(1.4%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 ----------------------------------------------------------------------------------- ??? [136] 100.0% [148] 202(0.7%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfmul [155] 100.0% ----------------------------------------------------------------------------------- debug-print [137] 100.0% [149] 200(0.7%) 200(0.7%) ??? .../contract/private/arrow-val-first.rkt:555:3 ----------------------------------------------------------------------------------- ??? [136] 100.0% [150] 200(0.7%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:567:4 ??? 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[126] 26.7% ival-mult [143] 48.9% [155] 830(2.8%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [160] 75.9% new-mpfr [161] 24.1% ----------------------------------------------------------------------------------- ??? [150] 100.0% [156] 200(0.7%) 0(0.0%) ??? ...lects/racket/contract/private/orc.rkt:83:14 ??? [162] 100.0% ----------------------------------------------------------------------------------- for-loop [151] 100.0% [157] 200(0.7%) 0(0.0%) mterm->expr .../findroot/src/core/reduce.rkt:272:0 type-of [163] 100.0% ----------------------------------------------------------------------------------- loop [166] 4.3% temp118_0 [152] 95.7% [158] 9394(32.1%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [164] 95.7% dispatch-transformer41 [6] 2.2% expand-id-application-form17 [170] 2.2% ----------------------------------------------------------------------------------- compile-top9 [153] 100.0% [159] 860(2.9%) 0(0.0%) compile-forms33 (unknown source) for-loop [167] 100.0% ----------------------------------------------------------------------------------- bf [144] 24.1% bfmul [155] 75.9% [160] 830(2.8%) 830(2.8%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ----------------------------------------------------------------------------------- bfmul [155] 33.2% bf [144] 66.8% [161] 602(2.1%) 602(2.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ----------------------------------------------------------------------------------- ??? [156] 100.0% [162] 200(0.7%) 200(0.7%) ??? ...ects/racket/contract/private/list.rkt:163:5 ----------------------------------------------------------------------------------- mterm->expr [157] 100.0% [163] 200(0.7%) 200(0.7%) type-of ...herbie/findroot/src/type-check.rkt:36:0 ----------------------------------------------------------------------------------- expand-capturing-lifts [158] 100.0% [164] 8986(30.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [165] 90.6% loop [166] 9.4% ----------------------------------------------------------------------------------- lambda-clause-expander [164] 21.8% for-loop [167] 78.2% [165] 8144(27.8%) 0(0.0%) finish-bodys (unknown source) for-loop [167] 100.0% ----------------------------------------------------------------------------------- egraph-add-exprs [93] 0.2% errors [111] 0.3% expr->egg-expr-helper [172] 1.1% syntax->list [53] 1.3% infer-splitpoints [50] 2.7% parse-loop49 [103] 2.7% for-loop [48] 3.2% gf [193] 3.5% datum->syntax6 [49] 4.1% apply-transformer52 [19] 4.7% compile15 [134] 5.4% lambda-clause-expander [164] 6.4% for-loop [167] 8.1% loop [166] 15.3% syntax-e/no-taint [17] 40.7% [166] 7448(25.4%) 1362(4.6%) loop (unknown source) gf [193] 41.2% loop [166] 15.3% expand-id-application-form17 [170] 8.1% dispatch-transformer41 [6] 6.4% core-form-sym [171] 4.1% ??? [169] 3.2% expand-capturing-lifts [158] 3.0% f61 [168] 2.7% all-critical-subexpressions [173] 2.7% syntax-e [4] 2.0% expr->egg-expr-helper [172] 1.3% ----------------------------------------------------------------------------------- fallback-loop [32] 0.9% compile-forms33 [159] 9.6% for-loop [167] 16.0% finish-bodys [165] 73.6% [167] 9004(30.7%) 1612(5.5%) for-loop (unknown source) finish-bodys [165] 60.3% for-loop [167] 16.0% compile-module-linklet57 [177] 7.1% dispatch-transformer41 [6] 4.2% syntax-e [4] 3.3% module-uses-extract-extra-inspectorsss [182] 2.5% expand-implicit [9] 2.1% loop [166] 1.0% add-local-binding!39 [180] 0.9% dispatch-variable [11] 0.2% expand-identifier [14] 0.1% ----------------------------------------------------------------------------------- for-loop [20] 7.8% map [91] 7.8% for-loop [18] 7.8% loop [166] 7.8% taylor-sqrt [33] 8.5% parse-loop49 [103] 8.6% hash-ref! [112] 23.7% ??? [3] 28.2% [168] 2578(8.8%) 0(0.0%) f61 (unknown source) eval-const-expr [174] 84.5% composed [181] 15.5% ----------------------------------------------------------------------------------- map [91] 14.3% loop [101] 42.5% loop [166] 43.2% [169] 1408(4.8%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [175] 71.7% ??? [179] 14.2% ulp-difference [178] 14.1% ----------------------------------------------------------------------------------- expand-capturing-lifts [158] 20.0% loop [166] 80.0% [170] 1008(3.4%) 0(0.0%) expand-id-application-form17 (unknown source) binding-lookup52 [176] 60.3% syntax-e/no-taint [17] 39.7% ----------------------------------------------------------------------------------- loop [166] 100.0% [171] 404(1.4%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [23] 100.0% ----------------------------------------------------------------------------------- loop [166] 100.0% [172] 384(1.3%) 384(1.3%) expr->egg-expr-helper ...erbie-linux/main.rkt:77:0 loop [166] 90.0% ----------------------------------------------------------------------------------- loop [166] 100.0% [173] 198(0.7%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:74:0 for-loop [183] 100.0% ----------------------------------------------------------------------------------- f61 [168] 44.9% parse-loop74 [28] 55.1% [174] 4846(16.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [119] 95.7% eval [186] 4.3% ----------------------------------------------------------------------------------- for-loop [51] 11.7% ??? [169] 29.5% .../more-scheme.rkt:261:28 [35] 58.8% [175] 3422(11.7%) 2608(8.9%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [184] 17.9% ??? [187] 5.8% ----------------------------------------------------------------------------------- expand-implicit [9] 24.8% expand-id-application-form17 [170] 75.2% [176] 808(2.8%) 808(2.8%) binding-lookup52 (unknown source) ----------------------------------------------------------------------------------- for-loop [167] 100.0% [177] 638(2.2%) 638(2.2%) compile-module-linklet57 (unknown source) ----------------------------------------------------------------------------------- ??? [169] 48.8% .../more-scheme.rkt:261:28 [35] 51.2% [178] 406(1.4%) 406(1.4%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ----------------------------------------------------------------------------------- ??? [169] 49.8% pattern-substitute [138] 50.2% [179] 402(1.4%) 402(1.4%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ----------------------------------------------------------------------------------- for-loop [167] 100.0% [180] 402(1.4%) 402(1.4%) add-local-binding!39 (unknown source) ----------------------------------------------------------------------------------- f61 [168] 100.0% [181] 400(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [185] 100.0% ----------------------------------------------------------------------------------- for-loop [167] 100.0% [182] 222(0.8%) 222(0.8%) module-uses-extract-extra-inspectorsss ... source) ----------------------------------------------------------------------------------- all-critical-subexpressions [173] 100.0% [183] 198(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:81:2 free-variables [185] 100.0% ----------------------------------------------------------------------------------- ??? [175] 100.0% [184] 614(2.1%) 412(1.4%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [191] 32.9% ----------------------------------------------------------------------------------- composed [181] 17.8% for-loop [183] 33.1% append-map [189] 49.1% [185] 598(2.0%) 0(0.0%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [189] 49.1% constant? [188] 39.8% variable? [192] 11.1% ----------------------------------------------------------------------------------- eval-const-expr [174] 100.0% [186] 206(0.7%) 0(0.0%) eval (unknown source) add-ns-scopes [190] 100.0% ----------------------------------------------------------------------------------- ??? [175] 100.0% [187] 200(0.7%) 200(0.7%) ??? ...ects/racket/contract/private/prop.rkt:301:4 ----------------------------------------------------------------------------------- pattern-substitute [138] 33.4% free-variables [185] 66.6% [188] 598(2.0%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [194] 100.0% ----------------------------------------------------------------------------------- free-variables [185] 100.0% [189] 400(1.4%) 0(0.0%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [185] 100.0% ----------------------------------------------------------------------------------- eval [186] 100.0% [190] 206(0.7%) 0(0.0%) add-ns-scopes (unknown source) gf [193] 100.0% ----------------------------------------------------------------------------------- return/no-unsupplied [184] 100.0% [191] 202(0.7%) 202(0.7%) filter ...5/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------------------- free-variables [185] 100.0% [192] 200(0.7%) 0(0.0%) variable? .../findroot/src/syntax/syntax.rkt:729:0 ??? [69] 100.0% ----------------------------------------------------------------------------------- apply-post-expansion [34] 0.8% add-ns-scopes [190] 0.8% loop [166] 98.4% [193] 3672(12.5%) 814(2.8%) gf (unknown source) propagation-apply [195] 50.3% propagation-merge [196] 11.1% loop [166] 9.6% cache-or-reuse-hash [197] 5.4% propagation-apply-shifted [198] 5.4% syntax-e/no-taint [17] 0.8% ----------------------------------------------------------------------------------- constant? [188] 100.0% [194] 598(2.0%) 598(2.0%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ----------------------------------------------------------------------------------- gf [193] 100.0% [195] 1848(6.3%) 1848(6.3%) propagation-apply (unknown source) ----------------------------------------------------------------------------------- gf [193] 100.0% [196] 406(1.4%) 406(1.4%) propagation-merge (unknown source) ----------------------------------------------------------------------------------- gf [193] 100.0% [197] 200(0.7%) 200(0.7%) cache-or-reuse-hash (unknown source) ----------------------------------------------------------------------------------- gf [193] 100.0% [198] 198(0.7%) 198(0.7%) propagation-apply-shifted (unknown source) -----------------------------------------------------------------------------------