Profiling results ----------------- Total cpu time observed: 59544ms (out of 59800ms) Number of samples taken: 284 (once every 210ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 192 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= [1] 59544(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [16] 100.0% ------------------------------------------------------------------------- ??? [167] 100.0% [2] 6054(10.2%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [17] 86.5% for-loop [23] 13.5% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [3] 4662(7.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [18] 100.0% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [4] 4556(7.7%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [167] 59.0% hash-ref! [174] 41.0% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [5] 4258(7.2%) 202(0.3%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [19] 99.2% ------------------------------------------------------------------------- ??? [167] 7.1% map [113] 38.3% hash-ref! [174] 54.6% [6] 2686(4.5%) 0(0.0%) f40 (unknown source) map [113] 100.0% ------------------------------------------------------------------------- map [113] 42.7% hash-ref! [174] 57.3% [7] 2096(3.5%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [40] 100.0% ------------------------------------------------------------------------- expand-capturing-lifts [168] 10.0% for-loop [186] 90.0% [8] 2016(3.4%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [20] 100.0% ------------------------------------------------------------------------- loop [82] 35.0% for-loop [186] 65.0% [9] 1634(2.7%) 190(0.3%) syntax-e (unknown source) syntax-e/no-taint [21] 88.4% ------------------------------------------------------------------------- for-loop [186] 100.0% [10] 894(1.5%) 196(0.3%) expand-identifier (unknown source) resolve+shift28 [22] 78.1% ------------------------------------------------------------------------- matcher [125] 100.0% [11] 798(1.3%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:127:11 for-loop [24] 93.7% foldl [27] 6.3% ------------------------------------------------------------------------- for-loop [186] 100.0% [12] 626(1.1%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [22] 100.0% ------------------------------------------------------------------------- for-loop [115] 100.0% [13] 406(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [25] 100.0% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [14] 384(0.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:422:23 for-loop [26] 100.0% ------------------------------------------------------------------------- for-loop [186] 100.0% [15] 200(0.3%) 0(0.0%) dispatch-variable (unknown source) substitute-variable6 [28] 100.0% ------------------------------------------------------------------------- ??? [1] 100.0% [16] 59544(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [29] 100.0% ------------------------------------------------------------------------- approximate9 [2] 100.0% [17] 5236(8.8%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [174] 87.0% ??? [167] 13.0% ------------------------------------------------------------------------- ??? [3] 100.0% [18] 4662(7.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [174] 62.1% ??? [31] 27.8% f61 [30] 10.1% ------------------------------------------------------------------------- ??? [5] 100.0% [19] 4258(7.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [174] 100.0% ------------------------------------------------------------------------- dispatch-transformer41 [8] 100.0% [20] 2016(3.4%) 202(0.3%) apply-transformer52 (unknown source) apply-transformer-in-context [33] 51.6% loop [82] 28.4% apply-post-expansion [37] 10.0% ------------------------------------------------------------------------- expand-id-application-form17 [98] 22.9% syntax-e [9] 77.1% [21] 1872(3.1%) 0(0.0%) syntax-e/no-taint (unknown source) loop [82] 100.0% ------------------------------------------------------------------------- core-form-sym [101] 13.1% expand-implicit [12] 41.1% expand-identifier [10] 45.8% [22] 1524(2.6%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [32] 100.0% ------------------------------------------------------------------------- approximate9 [2] 100.0% [23] 818(1.4%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor-quotient [34] 73.3% taylor [35] 26.7% ------------------------------------------------------------------------- ??? [11] 100.0% [24] 798(1.3%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:129:15 matcher [125] 100.0% ------------------------------------------------------------------------- for-loop [13] 100.0% [25] 406(0.7%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-substitute [36] 54.7% pattern-match [145] 45.3% ------------------------------------------------------------------------- ??? [14] 100.0% [26] 384(0.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:425:30 hash-ref! [174] 100.0% ------------------------------------------------------------------------- ??? [11] 100.0% [27] 200(0.3%) 0(0.0%) foldl ....5/collects/racket/private/list.rkt:229:4 ??? [38] 100.0% ------------------------------------------------------------------------- dispatch-variable [15] 100.0% [28] 200(0.3%) 0(0.0%) substitute-variable6 (unknown source) datum->syntax6 [43] 100.0% ------------------------------------------------------------------------- profile-thunk16 [16] 100.0% [29] 59544(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [39] 100.0% ------------------------------------------------------------------------- ??? [167] 8.5% map [113] 17.3% for-loop [18] 24.1% hash-ref! [174] 50.1% [30] 2342(3.9%) 0(0.0%) f61 (unknown source) eval-const-expr [40] 66.4% composed [42] 33.6% ------------------------------------------------------------------------- for-loop [18] 100.0% [31] 1794(3.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [174] 100.0% ------------------------------------------------------------------------- resolve+shift28 [22] 100.0% [32] 1524(2.6%) 808(1.4%) fallback-loop (unknown source) for-loop [186] 47.0% ------------------------------------------------------------------------- apply-transformer52 [20] 100.0% [33] 1040(1.7%) 200(0.3%) apply-transformer-in-context (unknown source) parse-app [44] 39.0% datum->syntax6 [43] 22.5% ??? [46] 19.2% ------------------------------------------------------------------------- hash-ref! [174] 25.6% for-loop [23] 74.4% [34] 806(1.4%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [41] 100.0% ------------------------------------------------------------------------- for-loop [23] 12.1% hash-ref! [174] 26.8% taylor [35] 61.1% [35] 602(1.0%) 200(0.3%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [35] 61.1% debug-print [45] 12.1% loop [47] 10.2% ------------------------------------------------------------------------- fix-up-variables [25] 33.3% pattern-substitute [36] 66.7% [36] 222(0.4%) 222(0.4%) pattern-substitute ...ot/src/core/matcher.rkt:45:0 pattern-substitute [36] 66.7% ------------------------------------------------------------------------- apply-transformer52 [20] 100.0% [37] 202(0.3%) 0(0.0%) apply-post-expansion (unknown source) gf [93] 100.0% ------------------------------------------------------------------------- foldl [27] 100.0% [38] 200(0.3%) 200(0.3%) ??? ...s/herbie/findroot/src/core/matcher.rkt:25:7 ------------------------------------------------------------------------- for-loop [134] 5.5% run [29] 94.5% [39] 59544(100.0%) 1972(3.3%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [57] 57.3% run-improve47 [48] 26.7% oracle-error [49] 6.1% ??? [143] 3.3% get-final-combination [50] 2.2% errors [122] 1.2% eval-errors [52] 0.7% loop [82] 0.4% ??? [167] 0.3% ------------------------------------------------------------------------- f61 [30] 42.6% parse-loop74 [7] 57.4% [40] 3650(6.1%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [135] 78.7% loop [82] 11.2% eval-prog [137] 5.0% eval-one-top12 [56] 5.0% ------------------------------------------------------------------------- taylor-quotient [34] 100.0% [41] 806(1.4%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [174] 100.0% ------------------------------------------------------------------------- f61 [30] 100.0% [42] 788(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [51] 100.0% ------------------------------------------------------------------------- substitute-variable6 [28] 46.1% apply-transformer-in-context [33] 53.9% [43] 434(0.7%) 200(0.3%) datum->syntax6 (unknown source) loop [82] 53.9% ------------------------------------------------------------------------- apply-transformer-in-context [33]100.0% [44] 406(0.7%) 0(0.0%) parse-app ...collects/racket/private/kw.rkt:1142:2 syntax->list [62] 50.7% identifier? [54] 49.3% ------------------------------------------------------------------------- taylor [35] 100.0% [45] 218(0.4%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [53] 100.0% ------------------------------------------------------------------------- apply-transformer-in-context [33]100.0% [46] 200(0.3%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [55] 100.0% ------------------------------------------------------------------------- taylor [35] 100.0% [47] 184(0.3%) 0(0.0%) loop .../herbie/findroot/src/core/taylor.rkt:267:2 hash-ref! [174] 100.0% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [39] 100.0% [48] 18336(30.8%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [58] 94.7% prepare-points-intervals [57] 4.2% simplify! [74] 1.1% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [39] 100.0% [49] 3622(6.1%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [59] 100.0% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [39] 100.0% [50] 1614(2.7%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [60] 100.0% ------------------------------------------------------------------------- composed [42] 34.6% append-map [61] 65.4% [51] 788(1.3%) 206(0.3%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [61] 65.4% variable? [65] 12.7% ??? [80] 8.9% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [39] 100.0% [52] 402(0.7%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [63] 100.0% ------------------------------------------------------------------------- debug-print [45] 100.0% [53] 218(0.4%) 0(0.0%) ??? .../contract/private/arrow-val-first.rkt:555:3 mk-call [64] 100.0% ------------------------------------------------------------------------- parse-app [44] 100.0% [54] 200(0.3%) 200(0.3%) identifier? ...ollects/racket/private/stx.rkt:13:4 ------------------------------------------------------------------------- ??? [46] 100.0% [55] 200(0.3%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [62] 100.0% ------------------------------------------------------------------------- eval-const-expr [40] 100.0% [56] 184(0.3%) 184(0.3%) eval-one-top12 (unknown source) ------------------------------------------------------------------------- run-improve47 [48] 2.2% .../more-scheme.rkt:261:28 [39] 97.8% [57] 34894(58.6%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [66] 100.0% ------------------------------------------------------------------------- run-improve47 [48] 100.0% [58] 17372(29.2%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [67] 100.0% ------------------------------------------------------------------------- oracle-error [49] 100.0% [59] 3622(6.1%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [82] 66.8% map [113] 33.2% ------------------------------------------------------------------------- get-final-combination [50] 100.0% [60] 1614(2.7%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [68] 100.0% ------------------------------------------------------------------------- free-variables [51] 100.0% [61] 788(1.3%) 0(0.0%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [51] 100.0% ------------------------------------------------------------------------- ??? [55] 49.3% parse-app [44] 50.7% [62] 406(0.7%) 0(0.0%) syntax->list (unknown source) loop [82] 100.0% ------------------------------------------------------------------------- eval-errors [52] 100.0% [63] 402(0.7%) 202(0.3%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [143] 49.8% ------------------------------------------------------------------------- ??? [53] 100.0% [64] 218(0.4%) 0(0.0%) mk-call ...tract/private/arrow-val-first.rkt:558:5 loop [69] 100.0% ------------------------------------------------------------------------- free-variables [51] 100.0% [65] 200(0.3%) 0(0.0%) variable? .../findroot/src/syntax/syntax.rkt:729:0 value? [164] 100.0% ------------------------------------------------------------------------- prepare-points-intervals [57] 100.0% [66] 34894(58.6%) 208(0.3%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [70] 96.4% ??? [75] 3.0% ------------------------------------------------------------------------- for-loop [58] 100.0% [67] 17372(29.2%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [71] 47.5% gen-series! [72] 37.1% simplify! [74] 5.4% gen-rewrites! [76] 4.6% choose-best-alt! [77] 3.3% localize! [78] 2.2% ------------------------------------------------------------------------- infer-splitpoints [60] 100.0% [68] 1614(2.7%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [73] 100.0% ------------------------------------------------------------------------- mk-call [64] 100.0% [69] 218(0.4%) 0(0.0%) loop ...contract/private/arrow-val-first.rkt:562:8 ??? [79] 100.0% ------------------------------------------------------------------------- loop [66] 100.0% [70] 33628(56.5%) 1068(1.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [142] 81.1% ??? [167] 10.8% real->precision [83] 4.9% ------------------------------------------------------------------------- run-iter! [67] 100.0% [71] 8246(13.8%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [80] 100.0% ------------------------------------------------------------------------- run-iter! [67] 100.0% [72] 6444(10.8%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [81] 100.0% ------------------------------------------------------------------------- for-loop [68] 100.0% [73] 1614(2.7%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [84] 87.6% sort-context-on-expr [90] 12.4% ------------------------------------------------------------------------- run-improve47 [48] 17.3% run-iter! [67] 82.7% [74] 1132(1.9%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [85] 100.0% ------------------------------------------------------------------------- loop [66] 100.0% [75] 1058(1.8%) 202(0.3%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 loop [82] 41.8% sample-multi-bounded [96] 39.1% ------------------------------------------------------------------------- run-iter! [67] 100.0% [76] 798(1.3%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [86] 100.0% ------------------------------------------------------------------------- run-iter! [67] 100.0% [77] 566(1.0%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [87] 100.0% ------------------------------------------------------------------------- run-iter! [67] 100.0% [78] 382(0.6%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [88] 100.0% ------------------------------------------------------------------------- loop [69] 100.0% [79] 218(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:567:4 ??? [89] 100.0% ------------------------------------------------------------------------- free-variables [51] 4.4% finalize-iter! [71] 95.6% [80] 8628(14.5%) 382(0.6%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [91] 90.7% atab-add-altns [99] 4.9% ------------------------------------------------------------------------- gen-series! [72] 100.0% [81] 6444(10.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [92] 100.0% ------------------------------------------------------------------------- datum->syntax6 [43] 0.1% .../more-scheme.rkt:261:28 [39] 1.2% expand-capturing-lifts [168] 1.7% gf [93] 1.9% eval-const-expr [40] 1.9% for-loop [186] 3.5% syntax->list [62] 4.9% ??? [75] 7.1% apply-transformer52 [20] 7.8% for-loop [59] 19.9% syntax-e/no-taint [21] 23.7% loop [82] 26.3% [82] 6192(10.4%) 1064(1.8%) loop (unknown source) loop [82] 26.3% gf [93] 25.6% ??? [136] 16.4% syntax-e [9] 6.2% sample-multi-bounded [96] 3.6% expand-id-application-form17 [98] 3.5% core-form-sym [101] 3.2% expand-capturing-lifts [168] 1.9% ??? [143] 1.9% eval-prog [137] 1.2% ------------------------------------------------------------------------- loop [70] 100.0% [83] 1642(2.8%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [167] 100.0% ------------------------------------------------------------------------- option-on-expr [73] 100.0% [84] 1414(2.4%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [122] 100.0% ------------------------------------------------------------------------- simplify! [74] 100.0% [85] 1132(1.9%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [94] 100.0% ------------------------------------------------------------------------- gen-rewrites! [76] 100.0% [86] 798(1.3%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [95] 100.0% ------------------------------------------------------------------------- choose-best-alt! [77] 100.0% [87] 566(1.0%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [97] 100.0% ------------------------------------------------------------------------- localize! [78] 100.0% [88] 382(0.6%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [174] 100.0% ------------------------------------------------------------------------- ??? [79] 100.0% [89] 218(0.4%) 218(0.4%) ??? ...ects/racket/contract/private/list.rkt:690:0 ------------------------------------------------------------------------- option-on-expr [73] 100.0% [90] 200(0.3%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [100] 100.0% ------------------------------------------------------------------------- ??? [80] 100.0% [91] 7826(13.1%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [103] 59.0% errors [122] 30.7% loop [106] 10.4% ------------------------------------------------------------------------- for-loop [81] 100.0% [92] 6444(10.8%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [102] 100.0% ------------------------------------------------------------------------- apply-post-expansion [37] 1.2% loop [82] 98.8% [93] 2074(3.5%) 202(0.3%) gf (unknown source) propagation-apply [104] 61.8% propagation-apply-shifted [110] 19.7% cache-or-reuse-hash [112] 8.8% loop [82] 8.5% ------------------------------------------------------------------------- ??? [85] 100.0% [94] 1132(1.9%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [105] 100.0% ------------------------------------------------------------------------- for-loop [86] 100.0% [95] 798(1.3%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [107] 100.0% ------------------------------------------------------------------------- loop [82] 35.1% ??? [75] 64.9% [96] 638(1.1%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [108] 100.0% ------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [87] 100.0% [97] 566(1.0%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [109] 100.0% ------------------------------------------------------------------------- loop [82] 100.0% [98] 428(0.7%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [21] 100.0% ------------------------------------------------------------------------- ??? [80] 100.0% [99] 420(0.7%) 0(0.0%) atab-add-altns ...root/src/core/alt-table.rkt:40:0 atab-add-altn [103] 100.0% ------------------------------------------------------------------------- sort-context-on-expr [90] 100.0% [100] 200(0.3%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [111] 100.0% ------------------------------------------------------------------------- loop [82] 100.0% [101] 200(0.3%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [22] 100.0% ------------------------------------------------------------------------- taylor-alt [92] 100.0% [102] 6444(10.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [167] 100.0% ------------------------------------------------------------------------- atab-add-altns [99] 8.3% for-loop [91] 91.7% [103] 5036(8.5%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [122] 96.0% override-at-pnts [120] 4.0% ------------------------------------------------------------------------- gf [93] 100.0% [104] 1282(2.2%) 1282(2.2%) propagation-apply (unknown source) ------------------------------------------------------------------------- egraph-run [94] 100.0% [105] 1132(1.9%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [114] 100.0% ------------------------------------------------------------------------- for-loop [91] 100.0% [106] 810(1.4%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 map [113] 49.6% loop [118] 26.7% loop [121] 23.7% ------------------------------------------------------------------------- rewrite-expression-head24 [95] 24.6% matcher [125] 75.4% [107] 798(1.3%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [115] 100.0% ------------------------------------------------------------------------- sample-multi-bounded [96] 100.0% [108] 638(1.1%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [116] 100.0% ------------------------------------------------------------------------- ??? [97] 100.0% [109] 566(1.0%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [117] 100.0% ------------------------------------------------------------------------- gf [93] 100.0% [110] 408(0.7%) 408(0.7%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------- ??? [100] 100.0% [111] 200(0.3%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [119] 100.0% ------------------------------------------------------------------------- gf [93] 100.0% [112] 182(0.3%) 182(0.3%) cache-or-reuse-hash (unknown source) ------------------------------------------------------------------------- parse-loop15 [181] 8.2% loop [106] 8.6% for-loop [59] 25.8% f40 [6] 57.5% [113] 4674(7.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 loop [123] 22.4% f40 [6] 22.0% parse-loop74 [7] 17.0% ??? [136] 12.8% ??? [126] 8.5% hash-ref! [174] 5.4% simplify* [127] 4.3% f61 [30] 3.6% simplify-node [129] 2.2% loop [133] 1.9% ------------------------------------------------------------------------- egraph-add-exprs [105] 100.0% [114] 1132(1.9%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [124] 81.1% egg-run-rules [128] 18.9% ------------------------------------------------------------------------- rewriter [107] 100.0% [115] 798(1.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 matcher [125] 87.7% for-loop [13] 12.3% ------------------------------------------------------------------------- random-ranges [108] 100.0% [116] 638(1.1%) 436(0.7%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [130] 31.7% ------------------------------------------------------------------------- loop [109] 100.0% [117] 566(1.0%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [122] 100.0% ------------------------------------------------------------------------- loop [106] 100.0% [118] 216(0.4%) 216(0.4%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------------- generic-sort/key [111] 33.3% copying-mergesort [119] 66.7% [119] 200(0.3%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [119] 66.7% loop [131] 33.3% ------------------------------------------------------------------------- atab-add-altn [103] 100.0% [120] 200(0.3%) 0(0.0%) override-at-pnts ...t/src/core/alt-table.rkt:129:0 for-loop [132] 100.0% ------------------------------------------------------------------------- loop [106] 25.0% loop [121] 75.0% [121] 192(0.3%) 192(0.3%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [121] 75.0% ------------------------------------------------------------------------- ??? [117] 5.4% .../more-scheme.rkt:261:28 [39] 11.7% for-loop [84] 13.5% for-loop [91] 23.0% atab-add-altn [103] 46.3% [122] 10438(17.5%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [134] 66.3% temp85_0 [135] 31.8% eval-prog [137] 1.9% ------------------------------------------------------------------------- loop [123] 44.9% map [113] 55.1% [123] 1206(2.0%) 402(0.7%) loop ...-7.5/collects/racket/private/map.rkt:40:19 ??? [136] 50.1% loop [123] 44.9% ??? [140] 0.3% ------------------------------------------------------------------------- ??? [114] 100.0% [124] 918(1.5%) 918(1.5%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------- for-loop [24] 46.5% for-loop [115] 53.5% [125] 798(1.3%) 192(0.3%) matcher ...bie/findroot/src/core/matcher.rkt:115:2 ??? [11] 50.1% rewriter [107] 46.5% ------------------------------------------------------------------------- map [113] 100.0% [126] 598(1.0%) 192(0.3%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [138] 67.9% ------------------------------------------------------------------------- map [113] 100.0% [127] 586(1.0%) 400(0.7%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 hash-ref! [174] 31.7% ------------------------------------------------------------------------- ??? [114] 100.0% [128] 214(0.4%) 214(0.4%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 ------------------------------------------------------------------------- map [113] 100.0% [129] 202(0.3%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 constant? [155] 100.0% ------------------------------------------------------------------------- build--> [116] 100.0% [130] 202(0.3%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [139] 100.0% ------------------------------------------------------------------------- copying-mergesort [119] 100.0% [131] 200(0.3%) 200(0.3%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ------------------------------------------------------------------------- override-at-pnts [120] 100.0% [132] 200(0.3%) 200(0.3%) for-loop ...findroot/src/core/alt-table.rkt:130:22 ------------------------------------------------------------------------- map [113] 2.0% loop [133] 98.0% [133] 182(0.3%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:54:19 loop [133] 98.0% ??? [141] 2.0% ------------------------------------------------------------------------- errors [122] 100.0% [134] 6922(11.6%) 414(0.7%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [39] 94.0% ------------------------------------------------------------------------- eval-const-expr [40] 46.4% errors [122] 53.6% [135] 6190(10.4%) 0(0.0%) temp85_0 (unknown source) compile15 [144] 100.0% ------------------------------------------------------------------------- map [113] 19.9% loop [123] 20.0% loop [82] 60.1% [136] 3020(5.1%) 1002(1.7%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [143] 60.0% ??? [167] 6.8% ------------------------------------------------------------------------- eval-const-expr [40] 30.4% errors [122] 33.0% loop [82] 36.6% [137] 606(1.0%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 for-loop [146] 36.6% inductor [148] 33.0% ??? [142] 30.4% ------------------------------------------------------------------------- ??? [126] 100.0% [138] 406(0.7%) 0(0.0%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [145] 100.0% ------------------------------------------------------------------------- coerce-contract [130] 100.0% [139] 202(0.3%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [147] 100.0% ------------------------------------------------------------------------- loop [123] 100.0% [140] 200(0.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfsub [185] 100.0% ------------------------------------------------------------------------- loop [133] 100.0% [141] 182(0.3%) 0(0.0%) ??? ...herbie/findroot/src/core/localize.rkt:50:36 ulp-difference [149] 100.0% ------------------------------------------------------------------------- eval-prog [137] 0.7% loop [70] 99.3% [142] 27468(46.1%) 7254(12.2%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sin [150] 37.5% ival-cos [151] 29.2% ival-atan2 [153] 5.4% ival-sub [154] 1.5% ------------------------------------------------------------------------- for-loop [63] 3.1% loop [82] 6.3% ??? [136] 28.5% .../more-scheme.rkt:261:28 [39] 62.0% [143] 6356(10.7%) 4572(7.7%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [159] 25.6% list-member? [157] 2.5% ------------------------------------------------------------------------- temp85_0 [135] 100.0% [144] 6190(10.4%) 0(0.0%) compile15 (unknown source) temp91_0 [152] 100.0% ------------------------------------------------------------------------- fix-up-variables [25] 31.2% for-loop [138] 68.8% [145] 590(1.0%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [156] 65.1% constant? [155] 34.9% ------------------------------------------------------------------------- eval-prog [137] 100.0% [146] 222(0.4%) 0(0.0%) for-loop ...erbie/findroot/src/programs.rkt:114:15 return/no-unsupplied [159] 100.0% ------------------------------------------------------------------------- coerce-contract/f [139] 100.0% [147] 202(0.3%) 202(0.3%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------- eval-prog [137] 12.5% inductor [148] 87.5% [148] 200(0.3%) 200(0.3%) inductor ...herbie/findroot/src/programs.rkt:103:4 inductor [148] 87.5% ------------------------------------------------------------------------- ??? [141] 100.0% [149] 182(0.3%) 182(0.3%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ------------------------------------------------------------------------- ??? [142] 100.0% [150] 10304(17.3%) 4914(8.3%) ival-sin ...bie/findroot/src/biginterval.rkt:306:0 bfsub [185] 36.2% pi.bf [162] 6.2% bfeven? [161] 4.1% bffloor [160] 1.9% bfsin [163] 1.9% ------------------------------------------------------------------------- ??? [142] 100.0% [151] 8020(13.5%) 3354(5.6%) ival-cos ...bie/findroot/src/biginterval.rkt:289:0 bffloor [160] 15.9% bfsub [185] 13.1% bfeven? [161] 13.0% bfsin [163] 8.3% pi.bf [162] 7.8% ------------------------------------------------------------------------- compile15 [144] 100.0% [152] 6190(10.4%) 0(0.0%) temp91_0 (unknown source) temp118_0 [158] 93.8% compile-top9 [165] 6.2% ------------------------------------------------------------------------- ??? [142] 100.0% [153] 1470(2.5%) 1266(2.1%) ival-atan2 ...e/findroot/src/biginterval.rkt:332:0 bfsub [185] 13.9% ------------------------------------------------------------------------- ??? [142] 100.0% [154] 420(0.7%) 218(0.4%) ival-sub ...bie/findroot/src/biginterval.rkt:108:0 bfsub [185] 48.1% ------------------------------------------------------------------------- simplify-node [129] 49.5% pattern-match [145] 50.5% [155] 408(0.7%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [164] 100.0% ------------------------------------------------------------------------- pattern-match [145] 100.0% [156] 384(0.6%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 fallback-update [166] 52.1% return/no-unsupplied [159] 47.9% ------------------------------------------------------------------------- ??? [143] 100.0% [157] 156(0.3%) 156(0.3%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------- temp91_0 [152] 100.0% [158] 5808(9.8%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [168] 100.0% ------------------------------------------------------------------------- for-loop [156] 9.0% for-loop [146] 10.9% ??? [143] 80.0% [159] 2034(3.4%) 1812(3.0%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [172] 10.9% ------------------------------------------------------------------------- ival-sin [150] 13.6% ival-cos [151] 86.4% [160] 1474(2.5%) 0(0.0%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:730:4 ??? [188] 57.0% new-mpfr [187] 43.0% ------------------------------------------------------------------------- ival-sin [150] 28.6% ival-cos [151] 71.4% [161] 1464(2.5%) 442(0.7%) bfeven? ...ib/math/private/bigfloat/mpfr.rkt:814:0 ??? [188] 28.6% new-mpz [170] 26.0% size+limbs->integer [171] 15.3% ------------------------------------------------------------------------- ival-cos [151] 49.4% ival-sin [150] 50.6% [162] 1270(2.1%) 0(0.0%) pi.bf ...lib/math/private/bigfloat/mpfr.rkt:1012:4 new-mpfr [187] 82.8% ??? [188] 17.2% ------------------------------------------------------------------------- ival-sin [150] 23.1% ival-cos [151] 76.9% [163] 864(1.5%) 200(0.3%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [187] 51.2% ??? [188] 25.7% ------------------------------------------------------------------------- variable? [65] 32.9% constant? [155] 67.1% [164] 608(1.0%) 608(1.0%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------- temp91_0 [152] 100.0% [165] 382(0.6%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [169] 100.0% ------------------------------------------------------------------------- for-loop [156] 100.0% [166] 200(0.3%) 0(0.0%) fallback-update ...s/racket/private/dict.rkt:115:2 ??? [167] 100.0% ------------------------------------------------------------------------- fallback-update [166] 0.5% ??? [136] 1.7% loop [17] 1.8% .../more-scheme.rkt:261:28 [39] 3.2% ??? [4] 12.3% real->precision [83] 13.3% location-do [173] 18.8% for-loop [102] 18.8% loop [70] 29.5% [167] 12322(20.7%) 1670(2.8%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-mult [176] 25.9% location-do [173] 18.8% approximate9 [2] 17.2% hash-ref! [174] 14.2% bf [177] 9.9% f61 [30] 0.8% f40 [6] 0.8% ------------------------------------------------------------------------- loop [82] 6.6% temp118_0 [158] 93.4% [168] 6216(10.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [175] 93.4% loop [82] 3.3% dispatch-transformer41 [8] 3.2% ------------------------------------------------------------------------- compile-top9 [165] 100.0% [169] 382(0.6%) 182(0.3%) compile-forms33 (unknown source) for-loop [186] 52.4% ------------------------------------------------------------------------- bfeven? [161] 100.0% [170] 380(0.6%) 380(0.6%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ------------------------------------------------------------------------- bfeven? [161] 100.0% [171] 224(0.4%) 224(0.4%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ------------------------------------------------------------------------- return/no-unsupplied [159] 100.0% [172] 222(0.4%) 222(0.4%) filter ...5/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------- ??? [167] 30.7% location-do [173] 69.3% [173] 6444(10.8%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [173] 69.3% ??? [167] 30.7% ------------------------------------------------------------------------- simplify* [127] 0.3% loop [47] 0.7% for-loop [26] 0.8% localize-error [88] 2.1% ??? [180] 3.5% ??? [31] 3.5% map [113] 4.0% first-nonzero-exp [41] 5.3% for-loop [18] 7.6% ??? [4] 9.9% ??? [179] 11.1% loop [17] 11.6% ??? [167] 13.6% for-loop [19] 25.8% [174] 6218(10.4%) 186(0.3%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [5] 26.1% ??? [4] 21.6% ??? [3] 13.3% ??? [179] 11.1% f40 [6] 9.5% parse-loop15 [181] 6.1% ??? [180] 3.5% parse-loop74 [7] 2.8% f61 [30] 2.4% taylor [35] 1.8% ??? [14] 0.8% taylor-quotient [34] 0.7% ------------------------------------------------------------------------- expand-capturing-lifts [168] 100.0% [175] 5808(9.8%) 204(0.3%) lambda-clause-expander (unknown source) finish-bodys [178] 96.5% ------------------------------------------------------------------------- ??? [167] 100.0% [176] 3186(5.4%) 1276(2.1%) ival-mult ...ie/findroot/src/biginterval.rkt:120:0 bfsub [185] 39.8% bfnext [182] 7.0% bfmax* [183] 6.8% bfmin* [184] 6.3% ------------------------------------------------------------------------- ??? [167] 100.0% [177] 1222(2.1%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [187] 84.9% ??? [188] 15.1% ------------------------------------------------------------------------- lambda-clause-expander [175] 22.1% for-loop [186] 77.9% [178] 5604(9.4%) 182(0.3%) finish-bodys (unknown source) for-loop [186] 99.9% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [179] 4646(7.8%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [174] 100.0% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [180] 1806(3.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [174] 100.0% ------------------------------------------------------------------------- hash-ref! [174] 100.0% [181] 382(0.6%) 0(0.0%) parse-loop15 (unknown source) map [113] 100.0% ------------------------------------------------------------------------- ival-mult [176] 100.0% [182] 224(0.4%) 0(0.0%) bfnext ...lib/math/private/bigfloat/mpfr.rkt:881:0 new-mpfr [187] 100.0% ------------------------------------------------------------------------- ival-mult [176] 100.0% [183] 218(0.4%) 0(0.0%) bfmax* ...erbie/findroot/src/biginterval.rkt:117:0 bfsub [185] 100.0% ------------------------------------------------------------------------- ival-mult [176] 100.0% [184] 200(0.3%) 0(0.0%) bfmin* ...erbie/findroot/src/biginterval.rkt:114:0 bfsub [185] 100.0% ------------------------------------------------------------------------- ??? [140] 2.8% bfmin* [184] 2.8% ival-sub [154] 2.9% ival-atan2 [153] 2.9% bfmax* [183] 3.1% ival-cos [151] 14.9% ival-mult [176] 17.9% ival-sin [150] 52.7% [185] 7074(11.9%) 828(1.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [187] 46.4% ??? [188] 41.9% ------------------------------------------------------------------------- fallback-loop [32] 1.4% compile-forms33 [169] 3.4% for-loop [186] 19.6% finish-bodys [178] 75.5% [186] 5804(9.7%) 914(1.5%) for-loop (unknown source) finish-bodys [178] 60.5% for-loop [186] 19.6% dispatch-transformer41 [8] 9.9% compile-module-linklet57 [189] 3.4% expand-identifier [10] 1.3% expand-implicit [12] 0.9% dispatch-variable [15] 0.9% syntax-e [9] 0.7% loop [82] 0.4% ------------------------------------------------------------------------- bfnext [182] 3.4% bfsin [163] 6.6% bffloor [160] 9.5% bf [177] 15.6% pi.bf [162] 15.8% bfsub [185] 49.2% [187] 6672(11.2%) 6672(11.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------- bf [177] 3.8% pi.bf [162] 4.5% bfsin [163] 4.6% bfeven? [161] 8.6% bffloor [160] 17.3% bfsub [185] 61.2% [188] 4846(8.1%) 4846(8.1%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------- for-loop [186] 100.0% [189] 200(0.3%) 200(0.3%) compile-module-linklet57 (unknown source) -------------------------------------------------------------------------