Profiling results ----------------- Total cpu time observed: 26752ms (out of 26912ms) Number of samples taken: 128 (once every 209ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 198 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= [1] 26752(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [13] 100.0% ------------------------------------------------------------------------- ??? [117] 100.0% [2] 9874(36.9%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [14] 85.6% for-loop [19] 14.4% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [3] 5318(19.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [15] 100.0% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [4] 5254(19.6%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [117] 56.7% hash-ref! [128] 43.3% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [5] 3384(12.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [16] 100.0% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [6] 2932(11.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:406:23 for-loop [18] 50.1% for-loop [24] 49.9% ------------------------------------------------------------------------- stx-list? [193] 27.0% loop [98] 29.5% for-loop [170] 43.5% [7] 1484(5.5%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [17] 100.0% ------------------------------------------------------------------------- for-loop [170] 100.0% [8] 1272(4.8%) 440(1.6%) expand-implicit (unknown source) resolve+shift28 [119] 65.4% ------------------------------------------------------------------------- loop [98] 34.0% for-loop [170] 66.0% [9] 606(2.3%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [119] 100.0% ------------------------------------------------------------------------- taylor [139] 49.1% map [94] 50.9% [10] 440(1.6%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [109] 50.9% parse-loop74 [99] 49.1% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [11] 438(1.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:509:23 for-loop [20] 100.0% ------------------------------------------------------------------------- taylor [139] 100.0% [12] 200(0.7%) 0(0.0%) loop .../herbie/findroot/src/core/taylor.rkt:267:2 hash-ref! [128] 100.0% ------------------------------------------------------------------------- ??? [1] 100.0% [13] 26752(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [21] 100.0% ------------------------------------------------------------------------- approximate9 [2] 100.0% [14] 8448(31.6%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [128] 62.2% ??? [117] 37.8% ------------------------------------------------------------------------- ??? [3] 100.0% [15] 5318(19.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [128] 96.2% f40 [22] 3.8% ------------------------------------------------------------------------- ??? [5] 100.0% [16] 3384(12.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [128] 49.5% f61 [23] 25.4% ??? [25] 25.2% ------------------------------------------------------------------------- gf [184] 11.9% expand-id-application-form17 [173] 25.4% syntax-e [7] 62.7% [17] 2366(8.8%) 0(0.0%) syntax-e/no-taint (unknown source) loop [98] 100.0% ------------------------------------------------------------------------- ??? [6] 100.0% [18] 1468(5.5%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:410:33 hash-ref! [128] 69.9% for-loop [24] 30.1% ------------------------------------------------------------------------- approximate9 [2] 100.0% [19] 1426(5.3%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [139] 100.0% ------------------------------------------------------------------------- ??? [11] 100.0% [20] 438(1.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:513:35 parse-loop402 [26] 100.0% ------------------------------------------------------------------------- profile-thunk16 [13] 100.0% [21] 26752(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [27] 100.0% ------------------------------------------------------------------------- taylor-invert [101] 1.3% taylor-exp [152] 2.2% for-loop [15] 4.0% map [94] 26.7% hash-ref! [128] 65.7% [22] 5030(18.8%) 0(0.0%) f40 (unknown source) map [94] 100.0% ------------------------------------------------------------------------- ??? [138] 11.5% hash-ref! [128] 12.3% map [94] 31.9% for-loop [16] 44.4% [23] 1934(7.2%) 0(0.0%) f61 (unknown source) eval-const-expr [106] 100.0% ------------------------------------------------------------------------- for-loop [18] 23.2% ??? [6] 76.8% [24] 1906(7.1%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:412:39 hash-ref! [128] 100.0% ------------------------------------------------------------------------- for-loop [16] 100.0% [25] 1064(4.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [128] 100.0% ------------------------------------------------------------------------- for-loop [20] 100.0% [26] 438(1.6%) 0(0.0%) parse-loop402 (unknown source) for-loop [28] 100.0% ------------------------------------------------------------------------- for-loop [100] 5.0% run [21] 95.0% [27] 26752(100.0%) 828(3.1%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [29] 65.6% prepare-points-intervals [70] 11.5% oracle-error [31] 7.5% get-final-combination [30] 7.0% errors [95] 1.9% *bit-width* [32] 1.5% ??? [120] 1.1% eval-errors [48] 0.7% baseline-error [33] 0.7% ??? [117] 0.4% ------------------------------------------------------------------------- parse-loop402 [26] 100.0% [28] 438(1.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:516:59 hash-ref! [128] 100.0% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [27] 100.0% [29] 18390(68.7%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [34] 98.8% simplify! [46] 1.2% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [27] 100.0% [30] 2080(7.8%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [36] 89.2% f33 [37] 10.8% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [27] 100.0% [31] 2014(7.5%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [35] 100.0% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [27] 100.0% [32] 828(3.1%) 624(2.3%) *bit-width* .../herbie/findroot/src/float.rkt:34:0 ??? [175] 24.6% ------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [27] 100.0% [33] 200(0.7%) 0(0.0%) baseline-error ...ie/findroot/src/points.rkt:181:0 argmin [38] 100.0% ------------------------------------------------------------------------- run-improve47 [29] 100.0% [34] 18178(68.0%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [39] 100.0% ------------------------------------------------------------------------- oracle-error [31] 100.0% [35] 2014(7.5%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [98] 79.8% map [94] 20.2% ------------------------------------------------------------------------- get-final-combination [30] 100.0% [36] 1856(6.9%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [40] 89.1% loop [98] 10.9% ------------------------------------------------------------------------- get-final-combination [30] 100.0% [37] 224(0.8%) 0(0.0%) f33 (unknown source) sindices->spoints [41] 100.0% ------------------------------------------------------------------------- baseline-error [33] 100.0% [38] 200(0.7%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [42] 100.0% ------------------------------------------------------------------------- for-loop [34] 100.0% [39] 18178(68.0%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [43] 54.3% finalize-iter! [44] 31.9% simplify! [46] 7.0% gen-rewrites! [47] 4.5% localize! [50] 1.2% choose-best-alt! [51] 1.1% ------------------------------------------------------------------------- infer-splitpoints [36] 100.0% [40] 1654(6.2%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [45] 100.0% ------------------------------------------------------------------------- f33 [37] 100.0% [41] 224(0.8%) 0(0.0%) sindices->spoints ...ot/src/core/regimes.rkt:194:0 for-loop [49] 100.0% ------------------------------------------------------------------------- argmin [38] 100.0% [42] 200(0.7%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:182:27 eval-errors [48] 100.0% ------------------------------------------------------------------------- run-iter! [39] 100.0% [43] 9874(36.9%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [52] 100.0% ------------------------------------------------------------------------- run-iter! [39] 100.0% [44] 5796(21.7%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [88] 100.0% ------------------------------------------------------------------------- for-loop [40] 100.0% [45] 1654(6.2%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [54] 48.7% sort-context-on-expr [56] 26.6% err-lsts->split-indices [57] 24.7% ------------------------------------------------------------------------- run-improve47 [29] 14.4% run-iter! [39] 85.6% [46] 1476(5.5%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [53] 100.0% ------------------------------------------------------------------------- run-iter! [39] 100.0% [47] 822(3.1%) 200(0.7%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [55] 75.7% ------------------------------------------------------------------------- ??? [42] 50.0% .../more-scheme.rkt:261:28 [27] 50.0% [48] 400(1.5%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [58] 100.0% ------------------------------------------------------------------------- sindices->spoints [41] 100.0% [49] 224(0.8%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:234:9 binary-search-floats [59] 100.0% ------------------------------------------------------------------------- run-iter! [39] 100.0% [50] 222(0.8%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [60] 100.0% ------------------------------------------------------------------------- run-iter! [39] 100.0% [51] 200(0.7%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [61] 100.0% ------------------------------------------------------------------------- gen-series! [43] 100.0% [52] 9874(36.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [62] 100.0% ------------------------------------------------------------------------- simplify! [46] 100.0% [53] 1476(5.5%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [63] 100.0% ------------------------------------------------------------------------- option-on-expr [45] 100.0% [54] 806(3.0%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [95] 100.0% ------------------------------------------------------------------------- gen-rewrites! [47] 100.0% [55] 622(2.3%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [64] 100.0% ------------------------------------------------------------------------- option-on-expr [45] 100.0% [56] 440(1.6%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [65] 100.0% ------------------------------------------------------------------------- option-on-expr [45] 100.0% [57] 408(1.5%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [66] 100.0% ------------------------------------------------------------------------- eval-errors [48] 100.0% [58] 400(1.5%) 400(1.5%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ------------------------------------------------------------------------- for-loop [49] 100.0% [59] 224(0.8%) 0(0.0%) binary-search-floats ...src/core/regimes.rkt:176:0 pred [67] 100.0% ------------------------------------------------------------------------- localize! [50] 100.0% [60] 222(0.8%) 222(0.8%) localize-error ...droot/src/core/localize.rkt:58:0 ------------------------------------------------------------------------- choose-best-alt! [51] 100.0% [61] 200(0.7%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [68] 100.0% ------------------------------------------------------------------------- for-loop [52] 100.0% [62] 9874(36.9%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [69] 100.0% ------------------------------------------------------------------------- ??? [53] 100.0% [63] 1476(5.5%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [71] 100.0% ------------------------------------------------------------------------- for-loop [55] 100.0% [64] 622(2.3%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [72] 100.0% ------------------------------------------------------------------------- sort-context-on-expr [56] 100.0% [65] 440(1.6%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 loop [85] 50.9% generic-sort/key [74] 49.1% ------------------------------------------------------------------------- err-lsts->split-indices [57] 100.0% [66] 408(1.5%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [73] 100.0% ------------------------------------------------------------------------- binary-search-floats [59] 100.0% [67] 224(0.8%) 0(0.0%) pred ...herbie/findroot/src/core/regimes.rkt:204:4 prepare-points-intervals [70] 100.0% ------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [61] 100.0% [68] 200(0.7%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [75] 100.0% ------------------------------------------------------------------------- taylor-alt [62] 100.0% [69] 9874(36.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [117] 100.0% ------------------------------------------------------------------------- pred [67] 6.8% .../more-scheme.rkt:261:28 [27] 93.2% [70] 3296(12.3%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [76] 93.2% temp85_0 [118] 6.8% ------------------------------------------------------------------------- egraph-run [63] 100.0% [71] 1476(5.5%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [77] 100.0% ------------------------------------------------------------------------- matcher [143] 40.5% rewrite-expression-head24 [64] 59.5% [72] 622(2.3%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [78] 100.0% ------------------------------------------------------------------------- loop [66] 100.0% [73] 408(1.5%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [79] 100.0% ------------------------------------------------------------------------- ??? [65] 100.0% [74] 216(0.8%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [80] 100.0% ------------------------------------------------------------------------- ??? [68] 100.0% [75] 200(0.7%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [81] 100.0% ------------------------------------------------------------------------- prepare-points-intervals [70] 100.0% [76] 3072(11.5%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [82] 73.7% ??? [84] 26.3% ------------------------------------------------------------------------- egraph-add-exprs [71] 100.0% [77] 1476(5.5%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [83] 83.2% egg-run-rules [86] 16.8% ------------------------------------------------------------------------- rewriter [72] 100.0% [78] 622(2.3%) 204(0.8%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [128] 75.6% for-loop [87] 8.0% ------------------------------------------------------------------------- for-loop [73] 100.0% [79] 408(1.5%) 408(1.5%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ------------------------------------------------------------------------- copying-mergesort [80] 50.0% generic-sort/key [74] 50.0% [80] 216(0.8%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [80] 50.0% loop [85] 50.0% ------------------------------------------------------------------------- loop [75] 100.0% [81] 200(0.7%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [95] 100.0% ------------------------------------------------------------------------- loop [76] 100.0% [82] 2264(8.5%) 400(1.5%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [131] 45.9% real->precision [89] 17.7% ??? [88] 9.9% ??? [117] 8.8% ------------------------------------------------------------------------- ??? [77] 100.0% [83] 1228(4.6%) 1228(4.6%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------- loop [76] 100.0% [84] 808(3.0%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [111] 49.5% loop [98] 25.7% ??? [131] 24.8% ------------------------------------------------------------------------- copying-mergesort [80] 49.1% ??? [65] 50.9% [85] 440(1.6%) 224(0.8%) loop ...7.5/collects/racket/private/sort.rkt:96:12 ??? [117] 49.1% ------------------------------------------------------------------------- ??? [77] 100.0% [86] 248(0.9%) 248(0.9%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 ------------------------------------------------------------------------- for-loop [78] 100.0% [87] 200(0.7%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [90] 100.0% ------------------------------------------------------------------------- loop [82] 3.7% finalize-iter! [44] 96.3% [88] 6020(22.5%) 224(0.8%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [91] 96.3% ------------------------------------------------------------------------- loop [82] 100.0% [89] 400(1.5%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [117] 100.0% ------------------------------------------------------------------------- for-loop [87] 100.0% [90] 200(0.7%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [123] 100.0% ------------------------------------------------------------------------- ??? [88] 100.0% [91] 5796(21.7%) 202(0.8%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [92] 53.8% errors [95] 28.5% loop [93] 10.8% loop [96] 3.5% ------------------------------------------------------------------------- for-loop [91] 100.0% [92] 3116(11.6%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [95] 80.7% for-loop [97] 12.8% map [94] 6.4% ------------------------------------------------------------------------- for-loop [91] 100.0% [93] 624(2.3%) 224(0.8%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [98] 32.1% loop [96] 32.1% ------------------------------------------------------------------------- gather-multiplicative-terms [113] 1.2% atab-add-altn [92] 3.2% for-loop [35] 6.5% taylor [139] 12.4% f40 [22] 76.8% [94] 6260(23.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [99] 42.4% f40 [22] 20.4% loop [102] 9.7% taylor [139] 8.2% f61 [23] 4.9% simplify* [108] 4.2% taylor-invert [101] 2.4% make-multiplication-node [103] 2.1% taylor-quotient [10] 1.8% ??? [105] 1.6% simplify-node [104] 1.2% gather-multiplicative-terms [113] 1.2% ------------------------------------------------------------------------- ??? [81] 3.3% .../more-scheme.rkt:261:28 [27] 13.3% for-loop [54] 13.5% for-loop [91] 27.7% atab-add-altn [92] 42.1% [95] 5972(22.3%) 200(0.7%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [100] 48.4% temp85_0 [118] 44.8% loop [98] 3.4% ------------------------------------------------------------------------- loop [93] 50.0% for-loop [91] 50.0% [96] 400(1.5%) 400(1.5%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------------- atab-add-altn [92] 100.0% [97] 400(1.5%) 400(1.5%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ------------------------------------------------------------------------- loop [93] 0.1% syntax->list [194] 1.1% ??? [84] 1.6% gf [184] 2.0% lambda-clause-expander [164] 3.1% errors [95] 3.1% infer-splitpoints [36] 3.1% taylor [139] 3.2% for-loop [35] 6.4% eval-const-expr [106] 6.7% for-loop [170] 9.4% apply-transformer52 [178] 9.7% syntax-e/no-taint [17] 23.1% loop [98] 27.2% [98] 6432(24.0%) 900(3.4%) loop (unknown source) loop [98] 27.2% gf [184] 24.8% expand-capturing-lifts [155] 9.8% core-form-sym [110] 9.5% ??? [107] 5.8% syntax-e [7] 3.4% simplify* [108] 3.2% expand-identifier [9] 3.2% all-critical-subexpressions [114] 3.1% expand-id-application-form17 [173] 3.1% dispatch-transformer41 [172] 3.1% sample-multi-bounded [111] 1.6% ------------------------------------------------------------------------- taylor-invert [101] 3.5% taylor-quotient [10] 3.8% hash-ref! [128] 40.5% map [94] 52.2% [99] 5680(21.2%) 202(0.8%) parse-loop74 (unknown source) eval-const-expr [106] 96.4% ------------------------------------------------------------------------- errors [95] 100.0% [100] 2892(10.8%) 206(0.8%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [27] 92.9% ------------------------------------------------------------------------- map [94] 39.8% taylor [139] 60.2% [101] 1004(3.8%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [109] 60.2% f40 [22] 19.9% parse-loop74 [99] 19.9% ------------------------------------------------------------------------- loop [102] 33.5% map [94] 66.5% [102] 606(2.3%) 206(0.8%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [102] 33.5% loop [115] 33.0% ??? [107] 16.5% ------------------------------------------------------------------------- map [94] 100.0% [103] 402(1.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:232:0 make-multiplication-subnode [112] 100.0% ------------------------------------------------------------------------- map [94] 100.0% [104] 222(0.8%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 gather-multiplicative-terms [113] 100.0% ------------------------------------------------------------------------- map [94] 100.0% [105] 200(0.7%) 0(0.0%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [116] 100.0% ------------------------------------------------------------------------- f61 [23] 26.1% parse-loop74 [99] 73.9% [106] 7412(27.7%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [118] 82.0% loop [98] 12.1% eval-one-top12 [124] 3.0% eval-prog [125] 2.9% ------------------------------------------------------------------------- loop [102] 12.4% loop [98] 87.6% [107] 1608(6.0%) 1008(3.8%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [117] 24.9% ??? [120] 12.4% ------------------------------------------------------------------------- loop [98] 24.8% map [94] 75.2% [108] 830(3.1%) 406(1.5%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 hash-ref! [128] 51.1% ------------------------------------------------------------------------- taylor-quotient [10] 27.1% taylor-invert [101] 72.9% [109] 828(3.1%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [128] 100.0% ------------------------------------------------------------------------- loop [98] 100.0% [110] 816(3.1%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [119] 100.0% ------------------------------------------------------------------------- loop [98] 34.2% ??? [84] 65.8% [111] 608(2.3%) 208(0.8%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [122] 65.8% ------------------------------------------------------------------------- make-multiplication-node [103] 100.0% [112] 402(1.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:242:0 group-by61 [121] 100.0% ------------------------------------------------------------------------- map [94] 50.0% simplify-node [104] 50.0% [113] 222(0.8%) 222(0.8%) gather-multiplicative-terms ...re/reduce.rkt:110:0 map [94] 50.0% ------------------------------------------------------------------------- loop [98] 100.0% [114] 202(0.8%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:74:0 loop [126] 100.0% ------------------------------------------------------------------------- loop [102] 2.6% loop [115] 97.4% [115] 200(0.7%) 200(0.7%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [115] 97.4% ------------------------------------------------------------------------- ??? [105] 100.0% [116] 200(0.7%) 0(0.0%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [123] 100.0% ------------------------------------------------------------------------- loop [82] 1.8% loop [85] 1.9% .../more-scheme.rkt:261:28 [27] 2.0% real->precision [89] 3.5% ??? [107] 3.5% loop [14] 9.4% ??? [4] 15.5% location-do [127] 31.2% for-loop [69] 31.2% [117] 11314(42.3%) 1040(3.9%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [127] 31.2% approximate9 [2] 31.2% hash-ref! [128] 24.9% bf [135] 1.8% ------------------------------------------------------------------------- prepare-points-intervals [70] 2.5% errors [95] 29.8% eval-const-expr [106] 67.7% [118] 8980(33.6%) 0(0.0%) temp85_0 (unknown source) compile15 [129] 100.0% ------------------------------------------------------------------------- expand-id-application-form17 [173] 8.9% expand-identifier [9] 24.5% core-form-sym [110] 33.0% expand-implicit [8] 33.6% [119] 2474(9.2%) 844(3.2%) resolve+shift28 (unknown source) fallback-loop [130] 65.9% ------------------------------------------------------------------------- ??? [107] 24.8% .../more-scheme.rkt:261:28 [27] 75.2% [120] 806(3.0%) 806(3.0%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------- make-multiplication-subnode [112] 100.0% [121] 402(1.5%) 202(0.8%) group-by61 ...t-7.5/collects/racket/list.rkt:771:0 hash-update [134] 49.8% ------------------------------------------------------------------------- sample-multi-bounded [111] 100.0% [122] 400(1.5%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [133] 50.0% build--> [136] 50.0% ------------------------------------------------------------------------- fix-up-variables [90] 50.0% for-loop [116] 50.0% [123] 400(1.5%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [132] 100.0% ------------------------------------------------------------------------- eval-const-expr [106] 100.0% [124] 222(0.8%) 222(0.8%) eval-one-top12 (unknown source) ------------------------------------------------------------------------- eval-const-expr [106] 100.0% [125] 214(0.8%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 ??? [131] 100.0% ------------------------------------------------------------------------- all-critical-subexpressions [114] 33.3% loop [126] 66.7% [126] 202(0.8%) 202(0.8%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [126] 66.7% ------------------------------------------------------------------------- ??? [117] 47.1% location-do [127] 52.9% [127] 9874(36.9%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [127] 52.9% ??? [117] 47.1% ------------------------------------------------------------------------- for-loop [28] 0.5% simplify* [108] 0.8% ??? [25] 1.5% for-loop [18] 1.8% loop [12] 2.1% for-loop [160] 2.1% ??? [140] 2.2% ??? [141] 2.7% for-loop [16] 2.9% for-loop [24] 3.6% for-loop [78] 4.3% first-nonzero-exp [109] 5.1% ??? [4] 9.8% loop [14] 11.7% ??? [138] 14.5% for-loop [15] 14.9% ??? [117] 19.8% [128] 9694(36.2%) 424(1.6%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [4] 21.5% ??? [3] 15.6% ??? [138] 15.2% f40 [22] 11.1% ??? [5] 9.6% matcher [143] 6.4% ??? [6] 5.3% taylor [139] 4.5% parse-loop74 [99] 4.3% ??? [141] 2.7% ??? [140] 2.2% ??? [11] 0.5% f61 [23] 0.4% ------------------------------------------------------------------------- temp85_0 [118] 100.0% [129] 8980(33.6%) 0(0.0%) compile15 (unknown source) temp91_0 [137] 100.0% ------------------------------------------------------------------------- resolve+shift28 [119] 100.0% [130] 1630(6.1%) 810(3.0%) fallback-loop (unknown source) for-loop [170] 50.3% ------------------------------------------------------------------------- ??? [84] 13.8% eval-prog [125] 14.7% loop [82] 71.5% [131] 1454(5.4%) 214(0.8%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [142] 57.8% ival-sub [145] 13.8% ??? [144] 13.8% ------------------------------------------------------------------------- pattern-match [123] 100.0% [132] 400(1.5%) 200(0.7%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 core457 [171] 50.0% ------------------------------------------------------------------------- random-ranges [122] 100.0% [133] 200(0.7%) 200(0.7%) cons/c .../racket/contract/private/guts.rkt:500:15 ------------------------------------------------------------------------- group-by61 [121] 100.0% [134] 200(0.7%) 200(0.7%) hash-update ...acket/private/more-scheme.rkt:358:4 ------------------------------------------------------------------------- ??? [117] 100.0% [135] 200(0.7%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [157] 100.0% ------------------------------------------------------------------------- random-ranges [122] 100.0% [136] 200(0.7%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [146] 100.0% ------------------------------------------------------------------------- compile15 [129] 100.0% [137] 8980(33.6%) 0(0.0%) temp91_0 (unknown source) temp118_0 [147] 90.7% compile-top9 [149] 9.3% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [138] 7194(26.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [128] 96.9% f61 [23] 3.1% ------------------------------------------------------------------------- map [94] 6.5% for-loop [19] 16.2% hash-ref! [128] 31.5% taylor [139] 45.8% [139] 2680(10.0%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [139] 45.8% map [94] 16.8% taylor-invert [101] 16.3% loop [98] 7.7% taylor-exp [152] 4.2% debug-print [151] 3.8% loop [12] 2.5% taylor-quotient [10] 2.0% constant? [153] 0.9% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [140] 1656(6.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [128] 100.0% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [141] 1140(4.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [128] 100.0% ------------------------------------------------------------------------- ??? [131] 100.0% [142] 840(3.1%) 200(0.7%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfadd [148] 76.2% ------------------------------------------------------------------------- hash-ref! [128] 100.0% [143] 622(2.3%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [150] 67.5% rewriter [72] 32.5% ------------------------------------------------------------------------- ??? [131] 100.0% [144] 200(0.7%) 200(0.7%) ??? ...cts/racket/contract/private/list.rkt:209:10 ------------------------------------------------------------------------- ??? [131] 100.0% [145] 200(0.7%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfadd [148] 100.0% ------------------------------------------------------------------------- build--> [136] 100.0% [146] 200(0.7%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [154] 100.0% ------------------------------------------------------------------------- temp91_0 [137] 100.0% [147] 8142(30.4%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [155] 100.0% ------------------------------------------------------------------------- ival-sub [145] 23.8% ival-add [142] 76.2% [148] 840(3.1%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [158] 51.4% new-mpfr [157] 48.6% ------------------------------------------------------------------------- temp91_0 [137] 100.0% [149] 838(3.1%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [156] 100.0% ------------------------------------------------------------------------- matcher [143] 100.0% [150] 622(2.3%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [160] 65.0% for-loop [161] 35.0% ------------------------------------------------------------------------- taylor [139] 100.0% [151] 404(1.5%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [159] 100.0% ------------------------------------------------------------------------- taylor [139] 100.0% [152] 224(0.8%) 0(0.0%) taylor-exp ...e/findroot/src/core/taylor.rkt:400:0 f40 [22] 100.0% ------------------------------------------------------------------------- taylor [139] 100.0% [153] 202(0.8%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [162] 100.0% ------------------------------------------------------------------------- coerce-contract [146] 100.0% [154] 200(0.7%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [163] 100.0% ------------------------------------------------------------------------- loop [98] 11.9% temp118_0 [147] 88.1% [155] 9242(34.5%) 224(0.8%) expand-capturing-lifts (unknown source) lambda-clause-expander [164] 78.6% dispatch-transformer41 [172] 16.6% expand-id-application-form17 [173] 2.4% ------------------------------------------------------------------------- compile-top9 [149] 100.0% [156] 838(3.1%) 402(1.5%) compile-forms33 (unknown source) loop! [165] 26.7% for-loop [170] 25.3% ------------------------------------------------------------------------- bf [135] 32.9% bfadd [148] 67.1% [157] 608(2.3%) 608(2.3%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------- bfadd [148] 100.0% [158] 432(1.6%) 432(1.6%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------- debug-print [151] 100.0% [159] 404(1.5%) 204(0.8%) ??? .../contract/private/arrow-val-first.rkt:555:3 ~r92 [167] 49.5% ------------------------------------------------------------------------- ??? [150] 100.0% [160] 404(1.5%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [128] 100.0% ------------------------------------------------------------------------- ??? [150] 100.0% [161] 218(0.8%) 0(0.0%) for-loop ...ie/findroot/src/core/matcher.rkt:103:4 foldl [166] 100.0% ------------------------------------------------------------------------- constant? [153] 100.0% [162] 202(0.8%) 202(0.8%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------- coerce-contract/f [154] 100.0% [163] 200(0.7%) 200(0.7%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------- expand-capturing-lifts [155] 100.0% [164] 7260(27.1%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [168] 94.5% loop [98] 5.5% ------------------------------------------------------------------------- compile-forms33 [156] 100.0% [165] 224(0.8%) 224(0.8%) loop! (unknown source) ------------------------------------------------------------------------- for-loop [161] 100.0% [166] 218(0.8%) 0(0.0%) foldl ....5/collects/racket/private/list.rkt:229:4 ??? [169] 100.0% ------------------------------------------------------------------------- ??? [159] 100.0% [167] 200(0.7%) 200(0.7%) ~r92 ...acket-7.5/collects/racket/format.rkt:189:0 ------------------------------------------------------------------------- lambda-clause-expander [164] 32.8% for-loop [170] 67.2% [168] 6860(25.6%) 0(0.0%) finish-bodys (unknown source) for-loop [170] 100.0% ------------------------------------------------------------------------- foldl [166] 100.0% [169] 218(0.8%) 0(0.0%) ??? ...s/herbie/findroot/src/core/matcher.rkt:25:7 core457 [171] 100.0% ------------------------------------------------------------------------- fallback-loop [130] 2.4% compile-forms33 [156] 2.9% for-loop [170] 27.3% finish-bodys [168] 67.4% [170] 7288(27.2%) 2056(7.7%) for-loop (unknown source) finish-bodys [168] 46.6% for-loop [170] 27.3% dispatch-transformer41 [172] 7.6% expand-implicit [8] 3.4% compile-module-linklet57 [176] 2.9% loop [98] 2.0% syntax-e [7] 1.8% add-local-binding!39 [174] 1.0% expand-id-application-form17 [173] 0.9% expand-identifier [9] 0.5% ------------------------------------------------------------------------- for-loop [132] 47.8% ??? [169] 52.2% [171] 418(1.6%) 0(0.0%) core457 ...acket/contract/private/arr-i.rkt:976:19 ??? [175] 52.2% arrow-higher-order:lnp [177] 47.8% ------------------------------------------------------------------------- loop [98] 10.5% expand-capturing-lifts [155] 40.4% for-loop [170] 49.1% [172] 3804(14.2%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [178] 100.0% ------------------------------------------------------------------------- for-loop [170] 24.4% expand-capturing-lifts [155] 26.8% loop [98] 48.8% [173] 820(3.1%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [17] 73.2% resolve+shift28 [119] 26.8% ------------------------------------------------------------------------- for-loop [170] 100.0% [174] 434(1.6%) 434(1.6%) add-local-binding!39 (unknown source) ------------------------------------------------------------------------- *bit-width* [32] 48.3% core457 [171] 51.7% [175] 422(1.6%) 204(0.8%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ??? [179] 51.7% ------------------------------------------------------------------------- for-loop [170] 100.0% [176] 212(0.8%) 212(0.8%) compile-module-linklet57 (unknown source) ------------------------------------------------------------------------- core457 [171] 100.0% [177] 200(0.7%) 0(0.0%) arrow-higher-order:lnp ...w-higher-order.rkt:673:7 ??? [180] 100.0% ------------------------------------------------------------------------- dispatch-transformer41 [172] 100.0% [178] 3804(14.2%) 200(0.7%) apply-transformer52 (unknown source) apply-transformer-in-context [181] 59.6% loop [98] 27.7% apply-post-expansion [182] 7.4% ------------------------------------------------------------------------- ??? [175] 100.0% [179] 218(0.8%) 0(0.0%) ??? /opt/racket-7.5/collects/racket/dict.rkt:11:8 dict-implements? [183] 100.0% ------------------------------------------------------------------------- arrow-higher-order:lnp [177] 100.0% [180] 200(0.7%) 200(0.7%) ??? ...et/contract/private/arity-checking.rkt:19:2 ------------------------------------------------------------------------- apply-transformer52 [178] 100.0% [181] 2268(8.5%) 0(0.0%) apply-transformer-in-context (unknown source) go [185] 64.2% parse-app [186] 18.0% ??? [188] 8.9% t-subst [187] 8.9% ------------------------------------------------------------------------- apply-transformer52 [178] 100.0% [182] 282(1.1%) 0(0.0%) apply-post-expansion (unknown source) gf [184] 100.0% ------------------------------------------------------------------------- ??? [179] 100.0% [183] 218(0.8%) 218(0.8%) dict-implements? ...ket/private/generic.rkt:152:11 ------------------------------------------------------------------------- apply-post-expansion [182] 1.7% loop [98] 98.3% [184] 2366(8.8%) 620(2.3%) gf (unknown source) propagation-apply-shifted [189] 28.1% propagation-apply [191] 16.9% propagation-merge [192] 16.9% loop [98] 10.2% syntax-e/no-taint [17] 1.7% ------------------------------------------------------------------------- apply-transformer-in-context [181]100.0% [185] 1456(5.4%) 200(0.7%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [190] 43.8% stx-list? [193] 27.5% syntax->list [194] 15.0% ------------------------------------------------------------------------- apply-transformer-in-context [181]100.0% [186] 408(1.5%) 408(1.5%) parse-app ...collects/racket/private/kw.rkt:1142:2 ------------------------------------------------------------------------- apply-transformer-in-context [181]100.0% [187] 202(0.8%) 202(0.8%) t-subst ...lects/racket/private/template.rkt:651:0 ------------------------------------------------------------------------- apply-transformer-in-context [181]100.0% [188] 202(0.8%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [195] 100.0% ------------------------------------------------------------------------- gf [184] 100.0% [189] 664(2.5%) 664(2.5%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------- go [185] 100.0% [190] 638(2.4%) 422(1.6%) loop ...llects/racket/private/qq-and-or.rkt:101:61 stx-car [196] 33.9% ------------------------------------------------------------------------- gf [184] 100.0% [191] 400(1.5%) 400(1.5%) propagation-apply (unknown source) ------------------------------------------------------------------------- gf [184] 100.0% [192] 400(1.5%) 400(1.5%) propagation-merge (unknown source) ------------------------------------------------------------------------- go [185] 100.0% [193] 400(1.5%) 0(0.0%) stx-list? .../collects/racket/private/stx.rkt:49:4 syntax-e [7] 100.0% ------------------------------------------------------------------------- go [185] 100.0% [194] 218(0.8%) 0(0.0%) syntax->list (unknown source) loop [98] 100.0% ------------------------------------------------------------------------- ??? [188] 100.0% [195] 202(0.8%) 202(0.8%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------- loop [190] 100.0% [196] 216(0.8%) 216(0.8%) stx-car ....5/collects/racket/private/stx.rkt:67:4 -------------------------------------------------------------------------