Profiling results ----------------- Total cpu time observed: 6528ms (out of 6656ms) Number of samples taken: 31 (once every 211ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 6528(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [7] 100.0% ---------------------------------------------------------------------- ??? [104] 100.0% [2] 1476(22.6%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [8] 58.9% for-loop [10] 27.1% taylor-quotient [13] 14.0% ---------------------------------------------------------------------- loop [99] 100.0% [3] 410(6.3%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [9] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [4] 240(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [11] 100.0% ---------------------------------------------------------------------- for-loop [98] 100.0% [5] 220(3.4%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [12] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [6] 202(3.1%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [14] 100.0% ---------------------------------------------------------------------- ??? [1] 100.0% [7] 6528(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [8] 870(13.3%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [20] 100.0% ---------------------------------------------------------------------- syntax-e [3] 100.0% [9] 410(6.3%) 0(0.0%) syntax-e/no-taint (unknown source) loop [99] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [10] 400(6.1%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [16] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 240(3.7%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [20] 100.0% ---------------------------------------------------------------------- expand-implicit [5] 100.0% [12] 220(3.4%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [17] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [13] 206(3.2%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 first-nonzero-exp [18] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 202(3.1%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [20] 100.0% ---------------------------------------------------------------------- profile-thunk16 [7] 100.0% [15] 6528(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [19]100.0% ---------------------------------------------------------------------- hash-ref! [20] 34.2% for-loop [10] 65.8% [16] 608(9.3%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor-invert [21] 34.2% taylor-cbrt [23] 32.9% debug-print [22] 32.9% ---------------------------------------------------------------------- resolve+shift28 [12] 100.0% [17] 220(3.4%) 0(0.0%) fallback-loop (unknown source) for-loop [98] 100.0% ---------------------------------------------------------------------- taylor-quotient [13] 100.0% [18] 206(3.2%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [20] 100.0% ---------------------------------------------------------------------- for-loop [86] 4.8% run [15] 95.2% [19] 6528(100.0%) 200(3.1%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [24] 55.5% prepare-points-intervals [25] 22.2% get-final-combination [29] 6.4% errors [80] 4.7% baseline-error [31] 3.3% oracle-error [34] 3.1% ordinary-value? [30] 1.7% ulp-difference [32] 1.6% ---------------------------------------------------------------------- for-loop [11] 4.5% for-loop [14] 4.7% ??? [26] 10.9% ??? [27] 16.0% first-nonzero-exp [18] 19.1% ??? [104] 22.4% loop [8] 22.4% [20] 1076(16.5%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [26] 33.3% f40 [28] 23.6% ??? [27] 16.0% parse-loop74 [42] 11.5% taylor [16] 6.4% ??? [6] 4.7% ??? [4] 4.5% ---------------------------------------------------------------------- taylor [16] 100.0% [21] 208(3.2%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [42] 100.0% ---------------------------------------------------------------------- taylor [16] 100.0% [22] 200(3.1%) 200(3.1%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ---------------------------------------------------------------------- taylor [16] 100.0% [23] 200(3.1%) 0(0.0%) taylor-cbrt .../findroot/src/core/taylor.rkt:377:0 f61 [33] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [24] 3830(58.7%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [35] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [25] 1452(22.2%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [36] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [26] 870(13.3%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [104] 74.3% hash-ref! [20] 25.7% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [27] 662(10.1%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [20] 100.0% ---------------------------------------------------------------------- hash-ref! [20] 100.0% [28] 446(6.8%) 0(0.0%) f40 (unknown source) map [37] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [29] 420(6.4%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [38] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [30] 216(3.3%) 216(3.3%) ordinary-value? ...bie/findroot/src/float.rkt:51:0 ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [31] 216(3.3%) 0(0.0%) baseline-error ...ie/findroot/src/points.rkt:181:0 loop [39] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [32] 206(3.2%) 206(3.2%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ---------------------------------------------------------------------- taylor-cbrt [23] 100.0% [33] 200(3.1%) 0(0.0%) f61 (unknown source) eval-const-expr [48] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [19]100.0% [34] 200(3.1%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [40] 100.0% ---------------------------------------------------------------------- run-improve47 [24] 100.0% [35] 3830(58.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [41] 100.0% ---------------------------------------------------------------------- prepare-points-intervals [25] 100.0% [36] 1452(22.2%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [43] 44.4% ??? [44] 41.9% do-curry [101] 13.8% ---------------------------------------------------------------------- f40 [28] 100.0% [37] 446(6.8%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [42] 100.0% ---------------------------------------------------------------------- get-final-combination [29] 100.0% [38] 420(6.4%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [45] 100.0% ---------------------------------------------------------------------- baseline-error [31] 100.0% [39] 216(3.3%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [46] 100.0% ---------------------------------------------------------------------- oracle-error [34] 100.0% [40] 200(3.1%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [99] 100.0% ---------------------------------------------------------------------- for-loop [35] 100.0% [41] 3830(58.7%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [47] 38.5% simplify! [49] 29.1% finalize-iter! [50] 27.2% gen-rewrites! [55] 5.2% ---------------------------------------------------------------------- parse-loop74 [42] 10.2% taylor-invert [21] 19.3% hash-ref! [20] 29.0% map [37] 41.4% [42] 1076(16.5%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [48] 89.8% parse-loop74 [42] 10.2% ---------------------------------------------------------------------- loop [36] 100.0% [43] 644(9.9%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 real->precision [52] 69.3% ??? [56] 30.7% ---------------------------------------------------------------------- loop [36] 100.0% [44] 608(9.3%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [51] 100.0% ---------------------------------------------------------------------- infer-splitpoints [38] 100.0% [45] 420(6.4%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [53] 100.0% ---------------------------------------------------------------------- loop [39] 100.0% [46] 216(3.3%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:182:27 eval-errors [54] 100.0% ---------------------------------------------------------------------- run-iter! [41] 100.0% [47] 1476(22.6%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [57] 100.0% ---------------------------------------------------------------------- f61 [33] 15.7% parse-loop74 [42] 84.3% [48] 1276(19.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [84] 100.0% ---------------------------------------------------------------------- run-iter! [41] 100.0% [49] 1114(17.1%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [58] 100.0% ---------------------------------------------------------------------- run-iter! [41] 100.0% [50] 1040(15.9%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [59] 100.0% ---------------------------------------------------------------------- ??? [44] 100.0% [51] 608(9.3%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [60] 100.0% ---------------------------------------------------------------------- loop [43] 100.0% [52] 446(6.8%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [104] 100.0% ---------------------------------------------------------------------- for-loop [45] 100.0% [53] 420(6.4%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [61] 51.9% eval-one-top12 [63] 48.1% ---------------------------------------------------------------------- ??? [46] 100.0% [54] 216(3.3%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [62] 100.0% ---------------------------------------------------------------------- run-iter! [41] 100.0% [55] 200(3.1%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [64] 100.0% ---------------------------------------------------------------------- loop [43] 100.0% [56] 198(3.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sub [65] 100.0% ---------------------------------------------------------------------- gen-series! [47] 100.0% [57] 1476(22.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [66] 100.0% ---------------------------------------------------------------------- simplify! [49] 100.0% [58] 1114(17.1%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [67] 100.0% ---------------------------------------------------------------------- finalize-iter! [50] 100.0% [59] 1040(15.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [68] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [51] 100.0% [60] 608(9.3%) 200(3.1%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [70] 34.2% build--> [71] 32.9% ---------------------------------------------------------------------- option-on-expr [53] 100.0% [61] 218(3.3%) 218(3.3%) for-loop ...e/findroot/src/core/regimes.rkt:128:14 ---------------------------------------------------------------------- eval-errors [54] 100.0% [62] 216(3.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [69] 100.0% ---------------------------------------------------------------------- option-on-expr [53] 100.0% [63] 202(3.1%) 202(3.1%) eval-one-top12 (unknown source) ---------------------------------------------------------------------- gen-rewrites! [55] 100.0% [64] 200(3.1%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 *rules* [72] 100.0% ---------------------------------------------------------------------- ??? [56] 100.0% [65] 198(3.0%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfsub [73] 100.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [66] 1476(22.6%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [74] 100.0% ---------------------------------------------------------------------- ??? [58] 100.0% [67] 1114(17.1%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [75] 100.0% ---------------------------------------------------------------------- ??? [59] 100.0% [68] 1040(15.9%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [76] 60.0% errors [80] 20.8% loop [78] 19.2% ---------------------------------------------------------------------- for-loop [62] 100.0% [69] 216(3.3%) 216(3.3%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ---------------------------------------------------------------------- random-ranges [60] 100.0% [70] 208(3.2%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [77] 100.0% ---------------------------------------------------------------------- random-ranges [60] 100.0% [71] 200(3.1%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [77] 100.0% ---------------------------------------------------------------------- for-loop [64] 100.0% [72] 200(3.1%) 0(0.0%) *rules* ...bie/findroot/src/syntax/rules.rkt:667:0 for-loop [98] 100.0% ---------------------------------------------------------------------- ival-sub [65] 100.0% [73] 198(3.0%) 0(0.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [79] 100.0% ---------------------------------------------------------------------- taylor-alt [66] 100.0% [74] 1476(22.6%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [104] 100.0% ---------------------------------------------------------------------- egraph-run [67] 100.0% [75] 1114(17.1%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [81] 100.0% ---------------------------------------------------------------------- for-loop [68] 100.0% [76] 624(9.6%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [80] 100.0% ---------------------------------------------------------------------- build--> [71] 49.0% cons/c [70] 51.0% [77] 408(6.2%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [82] 100.0% ---------------------------------------------------------------------- for-loop [68] 100.0% [78] 200(3.1%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [83] 100.0% ---------------------------------------------------------------------- bfsub [73] 100.0% [79] 198(3.0%) 198(3.0%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ---------------------------------------------------------------------- for-loop [68] 17.3% .../more-scheme.rkt:261:28 [19] 32.8% atab-add-altn [76] 49.9% [80] 1250(19.1%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [86] 83.7% temp85_0 [84] 16.3% ---------------------------------------------------------------------- egraph-add-exprs [75] 100.0% [81] 1114(17.1%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [85] 100.0% ---------------------------------------------------------------------- coerce-contract [77] 100.0% [82] 408(6.2%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [87] 100.0% ---------------------------------------------------------------------- loop [78] 100.0% [83] 200(3.1%) 200(3.1%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 ---------------------------------------------------------------------- errors [80] 13.8% eval-const-expr [48] 86.2% [84] 1480(22.7%) 0(0.0%) temp85_0 (unknown source) compile15 [88] 100.0% ---------------------------------------------------------------------- ??? [81] 100.0% [85] 1114(17.1%) 1114(17.1%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- errors [80] 100.0% [86] 1046(16.0%) 424(6.5%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [19] 59.5% ---------------------------------------------------------------------- coerce-contract/f [82] 100.0% [87] 408(6.2%) 408(6.2%) coerce-simple-value ...ract/private/guts.rkt:385:0 ---------------------------------------------------------------------- temp85_0 [84] 100.0% [88] 1480(22.7%) 0(0.0%) compile15 (unknown source) temp91_0 [89] 100.0% ---------------------------------------------------------------------- compile15 [88] 100.0% [89] 1480(22.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [90] 83.8% compile-top9 [91] 16.2% ---------------------------------------------------------------------- temp91_0 [89] 100.0% [90] 1240(19.0%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [92] 100.0% ---------------------------------------------------------------------- temp91_0 [89] 100.0% [91] 240(3.7%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [93] 100.0% ---------------------------------------------------------------------- temp118_0 [90] 100.0% [92] 1240(19.0%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [94] 66.6% loop [99] 16.8% dispatch-transformer41 [95] 16.6% ---------------------------------------------------------------------- compile-top9 [91] 100.0% [93] 240(3.7%) 0(0.0%) compile-forms33 (unknown source) for-loop [98] 100.0% ---------------------------------------------------------------------- expand-capturing-lifts [92] 100.0% [94] 826(12.7%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [96] 100.0% ---------------------------------------------------------------------- expand-capturing-lifts [92] 33.7% for-loop [98] 66.3% [95] 612(9.4%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [97] 100.0% ---------------------------------------------------------------------- for-loop [98] 49.4% lambda-clause-expander [94] 50.6% [96] 826(12.7%) 0(0.0%) finish-bodys (unknown source) for-loop [98] 100.0% ---------------------------------------------------------------------- dispatch-transformer41 [95] 100.0% [97] 612(9.4%) 202(3.1%) apply-transformer52 (unknown source) loop [99] 67.0% ---------------------------------------------------------------------- fallback-loop [17] 2.9% *rules* [72] 15.8% compile-forms33 [93] 19.0% for-loop [98] 26.3% finish-bodys [96] 36.0% [98] 1266(19.4%) 420(6.4%) for-loop (unknown source) for-loop [98] 26.3% compile-module-linklet57 [102] 19.0% finish-bodys [96] 18.9% do-curry [101] 15.8% dispatch-transformer41 [95] 10.3% expand-implicit [5] 2.9% ---------------------------------------------------------------------- for-loop [40] 24.4% syntax-e/no-taint [9] 25.1% apply-transformer52 [97] 25.1% expand-capturing-lifts [92] 25.4% [99] 818(12.5%) 208(3.2%) loop (unknown source) syntax-e [3] 25.1% gf [100] 25.1% ??? [103] 24.4% ---------------------------------------------------------------------- loop [99] 100.0% [100] 410(6.3%) 410(6.3%) gf (unknown source) ---------------------------------------------------------------------- for-loop [98] 50.0% loop [36] 50.0% [101] 400(6.1%) 400(6.1%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ---------------------------------------------------------------------- for-loop [98] 100.0% [102] 240(3.7%) 240(3.7%) compile-module-linklet57 (unknown source) ---------------------------------------------------------------------- loop [99] 100.0% [103] 200(3.1%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [104] 100.0% ---------------------------------------------------------------------- ??? [103] 9.4% ??? [26] 13.7% real->precision [52] 21.0% location-do [105] 27.9% for-loop [74] 27.9% [104] 2122(32.5%) 422(6.5%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [105] 27.9% approximate9 [2] 27.9% hash-ref! [20] 13.7% bf [106] 10.6% ---------------------------------------------------------------------- location-do [105] 22.9% ??? [104] 77.1% [105] 1476(22.6%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [104] 77.1% location-do [105] 22.9% ---------------------------------------------------------------------- ??? [104] 100.0% [106] 224(3.4%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [107] 100.0% ---------------------------------------------------------------------- bf [106] 100.0% [107] 224(3.4%) 224(3.4%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ----------------------------------------------------------------------