Profiling results ----------------- Total cpu time observed: 5914ms (out of 6148ms) Number of samples taken: 27 (once every 219ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== [1] 5914(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [6] 100.0% --------------------------------------------------------------------- ??? [64] 100.0% [2] 1424(24.1%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 for-loop [7] 56.3% loop [8] 43.7% --------------------------------------------------------------------- for-loop [105] 100.0% [3] 618(10.4%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [9] 100.0% --------------------------------------------------------------------- hash-ref! [20] 100.0% [4] 216(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [10] 100.0% --------------------------------------------------------------------- hash-ref! [20] 100.0% [5] 216(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [11] 100.0% --------------------------------------------------------------------- ??? [1] 100.0% [6] 5914(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% --------------------------------------------------------------------- approximate9 [2] 100.0% [7] 802(13.6%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [13] 70.1% taylor-invert [14] 29.9% --------------------------------------------------------------------- approximate9 [2] 100.0% [8] 622(10.5%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [20] 100.0% --------------------------------------------------------------------- dispatch-transformer41 [3] 100.0% [9] 618(10.4%) 202(3.4%) apply-transformer52 (unknown source) loop [97] 67.3% --------------------------------------------------------------------- ??? [4] 100.0% [10] 216(3.7%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [20] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [11] 216(3.7%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [20] 100.0% --------------------------------------------------------------------- profile-thunk16 [6] 100.0% [12] 5914(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [15] 100.0% --------------------------------------------------------------------- taylor [13] 19.9% for-loop [7] 80.1% [13] 562(9.5%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 debug-print [16] 60.1% taylor [13] 19.9% loop [97] 19.9% --------------------------------------------------------------------- for-loop [7] 100.0% [14] 240(4.1%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [17] 100.0% --------------------------------------------------------------------- run [12] 100.0% [15] 5914(100.0%) 0(0.0%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [18] 68.1% prepare-points-intervals [19] 21.8% errors [66] 3.4% get-final-combination [22] 3.4% oracle-error [23] 3.3% --------------------------------------------------------------------- taylor [13] 100.0% [16] 338(5.7%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [21] 100.0% --------------------------------------------------------------------- taylor-invert [14] 100.0% [17] 240(4.1%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [20] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [15] 100.0% [18] 4030(68.1%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [24] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [15] 100.0% [19] 1288(21.8%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [25] 100.0% --------------------------------------------------------------------- ??? [30] 3.1% for-loop [11] 3.1% ??? [29] 3.1% for-loop [10] 6.3% ??? [26] 18.8% ??? [64] 18.8% loop [8] 18.8% first-nonzero-exp [17] 27.8% [20] 862(14.6%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 simplify* [100] 27.8% ??? [28] 18.8% ??? [26] 18.8% f40 [27] 18.8% ??? [4] 6.3% ??? [29] 3.1% ??? [5] 3.1% ??? [30] 3.1% --------------------------------------------------------------------- debug-print [16] 100.0% [21] 338(5.7%) 338(5.7%) ??? .../contract/private/arrow-val-first.rkt:555:3 --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [15] 100.0% [22] 200(3.4%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [31] 100.0% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [15] 100.0% [23] 196(3.3%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [32] 100.0% --------------------------------------------------------------------- run-improve47 [18] 100.0% [24] 4030(68.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [33] 100.0% --------------------------------------------------------------------- prepare-points-intervals [19] 100.0% [25] 1288(21.8%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [34] 67.2% ??? [35] 32.8% --------------------------------------------------------------------- hash-ref! [20] 100.0% [26] 622(10.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [20] 100.0% --------------------------------------------------------------------- map [65] 40.9% hash-ref! [20] 59.1% [27] 622(10.5%) 0(0.0%) f40 (unknown source) map [65] 100.0% --------------------------------------------------------------------- hash-ref! [20] 100.0% [28] 622(10.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [64] 100.0% --------------------------------------------------------------------- hash-ref! [20] 100.0% [29] 216(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [20] 100.0% --------------------------------------------------------------------- hash-ref! [20] 100.0% [30] 216(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [20] 100.0% --------------------------------------------------------------------- get-final-combination [22] 100.0% [31] 200(3.4%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [36] 100.0% --------------------------------------------------------------------- oracle-error [23] 100.0% [32] 196(3.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [65] 100.0% --------------------------------------------------------------------- for-loop [24] 100.0% [33] 4030(68.1%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [37] 45.4% gen-series! [38] 35.3% simplify! [39] 14.3% gen-rewrites! [43] 5.0% --------------------------------------------------------------------- loop [25] 100.0% [34] 866(14.6%) 222(3.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [64] 50.6% ??? [41] 23.8% --------------------------------------------------------------------- loop [25] 100.0% [35] 422(7.1%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [40] 100.0% --------------------------------------------------------------------- infer-splitpoints [31] 100.0% [36] 200(3.4%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [42] 100.0% --------------------------------------------------------------------- run-iter! [33] 100.0% [37] 1830(30.9%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [44] 100.0% --------------------------------------------------------------------- run-iter! [33] 100.0% [38] 1424(24.1%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [45] 100.0% --------------------------------------------------------------------- run-iter! [33] 100.0% [39] 576(9.7%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [46] 100.0% --------------------------------------------------------------------- ??? [35] 100.0% [40] 422(7.1%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [47] 100.0% --------------------------------------------------------------------- loop [34] 100.0% [41] 206(3.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [48] 100.0% --------------------------------------------------------------------- for-loop [36] 100.0% [42] 200(3.4%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 sort-context-on-expr [49] 100.0% --------------------------------------------------------------------- run-iter! [33] 100.0% [43] 200(3.4%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [50] 100.0% --------------------------------------------------------------------- finalize-iter! [37] 100.0% [44] 1830(30.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [51] 100.0% --------------------------------------------------------------------- gen-series! [38] 100.0% [45] 1424(24.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [52] 100.0% --------------------------------------------------------------------- simplify! [39] 100.0% [46] 576(9.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [53] 100.0% --------------------------------------------------------------------- sample-multi-bounded [40] 100.0% [47] 422(7.1%) 204(3.4%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [54] 51.7% --------------------------------------------------------------------- ??? [41] 100.0% [48] 206(3.5%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfadd [84] 100.0% --------------------------------------------------------------------- option-on-expr [42] 100.0% [49] 200(3.4%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [55] 100.0% --------------------------------------------------------------------- gen-rewrites! [43] 100.0% [50] 200(3.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:208:4 for-loop [56] 100.0% --------------------------------------------------------------------- ??? [44] 100.0% [51] 1830(30.9%) 200(3.4%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 errors [66] 34.0% loop [59] 22.2% atab-add-altn [60] 22.0% override-at-pnts [63] 10.9% --------------------------------------------------------------------- for-loop [45] 100.0% [52] 1424(24.1%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [57] 100.0% --------------------------------------------------------------------- ??? [46] 100.0% [53] 576(9.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [58] 100.0% --------------------------------------------------------------------- random-ranges [47] 100.0% [54] 218(3.7%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [61] 100.0% --------------------------------------------------------------------- sort-context-on-expr [49] 100.0% [55] 200(3.4%) 200(3.4%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 --------------------------------------------------------------------- for-loop [50] 100.0% [56] 200(3.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:209:6 change-apply [62] 100.0% --------------------------------------------------------------------- taylor-alt [52] 100.0% [57] 1424(24.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [64] 100.0% --------------------------------------------------------------------- egraph-run [53] 100.0% [58] 576(9.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [67] 100.0% --------------------------------------------------------------------- for-loop [51] 100.0% [59] 406(6.9%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 map [65] 50.7% loop [71] 49.3% --------------------------------------------------------------------- for-loop [51] 100.0% [60] 402(6.8%) 200(3.4%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [66] 50.2% --------------------------------------------------------------------- cons/c [54] 100.0% [61] 218(3.7%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [68] 100.0% --------------------------------------------------------------------- for-loop [56] 100.0% [62] 200(3.4%) 0(0.0%) change-apply ...findroot/src/core/matcher.rkt:69:0 pattern-substitute [69] 100.0% --------------------------------------------------------------------- for-loop [51] 100.0% [63] 200(3.4%) 0(0.0%) override-at-pnts ...t/src/core/alt-table.rkt:129:0 in-pcontext [70] 100.0% --------------------------------------------------------------------- ??? [28] 11.1% loop [34] 23.5% location-do [72] 32.7% for-loop [57] 32.7% [64] 1862(31.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [72] 32.7% approximate9 [2] 32.7% ival-div [76] 23.5% hash-ref! [20] 11.1% --------------------------------------------------------------------- for-loop [32] 19.1% loop [59] 20.1% f40 [27] 60.7% [65] 1024(17.3%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [74] 35.9% f40 [27] 24.9% loop [79] 20.1% ??? [81] 19.1% --------------------------------------------------------------------- .../more-scheme.rkt:261:28 [15] 19.5% atab-add-altn [60] 19.7% for-loop [51] 60.7% [66] 1024(17.3%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [73] 60.4% eval [77] 20.1% for-loop [80] 19.5% --------------------------------------------------------------------- egraph-add-exprs [58] 100.0% [67] 576(9.7%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [75] 100.0% --------------------------------------------------------------------- coerce-contract [61] 100.0% [68] 218(3.7%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [78] 100.0% --------------------------------------------------------------------- change-apply [62] 33.3% pattern-substitute [69] 66.7% [69] 200(3.4%) 200(3.4%) pattern-substitute ...ot/src/core/matcher.rkt:45:0 pattern-substitute [69] 66.7% --------------------------------------------------------------------- override-at-pnts [63] 100.0% [70] 200(3.4%) 200(3.4%) in-pcontext ...herbie/findroot/src/points.rkt:37:0 --------------------------------------------------------------------- loop [59] 100.0% [71] 200(3.4%) 200(3.4%) loop ...racket-7.5/collects/racket/list.rkt:434:28 --------------------------------------------------------------------- ??? [64] 39.7% location-do [72] 60.3% [72] 1424(24.1%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [72] 60.3% ??? [64] 39.7% --------------------------------------------------------------------- eval-const-expr [83] 39.6% errors [66] 60.4% [73] 1024(17.3%) 0(0.0%) temp85_0 (unknown source) compile15 [82] 100.0% --------------------------------------------------------------------- map [65] 100.0% [74] 622(10.5%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [83] 100.0% --------------------------------------------------------------------- ??? [67] 100.0% [75] 576(9.7%) 576(9.7%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 --------------------------------------------------------------------- ??? [64] 100.0% [76] 438(7.4%) 218(3.7%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 bfadd [84] 50.2% --------------------------------------------------------------------- errors [66] 48.8% eval-const-expr [83] 51.2% [77] 422(7.1%) 0(0.0%) eval (unknown source) namespace-syntax-introduce3 [85] 51.2% add-ns-scopes [90] 48.8% --------------------------------------------------------------------- coerce-contract/f [68] 100.0% [78] 218(3.7%) 218(3.7%) coerce-simple-value ...ract/private/guts.rkt:385:0 --------------------------------------------------------------------- map [65] 6.7% loop [79] 93.3% [79] 206(3.5%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [79] 93.3% ??? [86] 6.7% --------------------------------------------------------------------- errors [66] 100.0% [80] 200(3.4%) 200(3.4%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 --------------------------------------------------------------------- map [65] 100.0% [81] 196(3.3%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [87] 100.0% --------------------------------------------------------------------- temp85_0 [73] 100.0% [82] 1024(17.3%) 0(0.0%) compile15 (unknown source) temp91_0 [88] 100.0% --------------------------------------------------------------------- parse-loop74 [74] 100.0% [83] 622(10.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [73] 65.3% eval [77] 34.7% --------------------------------------------------------------------- ival-add [48] 48.4% ival-div [76] 51.6% [84] 426(7.2%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [89] 100.0% --------------------------------------------------------------------- eval [77] 100.0% [85] 216(3.7%) 0(0.0%) namespace-syntax-introduce3 (unknown source) add-ns-scopes [90] 100.0% --------------------------------------------------------------------- loop [79] 100.0% [86] 206(3.5%) 0(0.0%) ??? ...rbie/findroot/src/core/alt-table.rkt:185:12 loop [91] 100.0% --------------------------------------------------------------------- ??? [81] 100.0% [87] 196(3.3%) 196(3.3%) ??? ...ects/racket/contract/private/guts.rkt:770:8 --------------------------------------------------------------------- compile15 [82] 100.0% [88] 1024(17.3%) 0(0.0%) temp91_0 (unknown source) temp118_0 [92] 60.4% loop [97] 20.1% compile-top9 [94] 19.5% --------------------------------------------------------------------- bfadd [84] 100.0% [89] 426(7.2%) 426(7.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 --------------------------------------------------------------------- eval [77] 48.8% namespace-syntax-introduce3 [85] 51.2% [90] 422(7.1%) 216(3.7%) add-ns-scopes (unknown source) gf [93] 48.8% --------------------------------------------------------------------- ??? [86] 33.3% loop [91] 66.7% [91] 206(3.5%) 206(3.5%) loop ...7.5/collects/racket/private/list.rkt:82:16 loop [91] 66.7% --------------------------------------------------------------------- temp91_0 [88] 100.0% [92] 618(10.4%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [95] 100.0% --------------------------------------------------------------------- add-ns-scopes [90] 20.0% loop [97] 80.0% [93] 206(3.5%) 0(0.0%) gf (unknown source) loop [97] 100.0% --------------------------------------------------------------------- temp91_0 [88] 100.0% [94] 200(3.4%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [96] 100.0% --------------------------------------------------------------------- loop [97] 25.0% temp118_0 [92] 75.0% [95] 824(13.9%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [98] 75.0% loop [97] 25.0% --------------------------------------------------------------------- compile-top9 [94] 100.0% [96] 200(3.4%) 0(0.0%) compile-forms33 (unknown source) for-loop [105] 100.0% --------------------------------------------------------------------- expand-capturing-lifts [95] 9.8% temp91_0 [88] 9.8% loop [97] 9.8% gf [93] 9.8% taylor [13] 21.3% apply-transformer52 [9] 39.5% [97] 1052(17.8%) 412(7.0%) loop (unknown source) core-form-sym [101] 39.5% simplify* [100] 21.3% loop [97] 9.8% expand-capturing-lifts [95] 9.8% gf [93] 7.8% --------------------------------------------------------------------- expand-capturing-lifts [95] 100.0% [98] 618(10.4%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [99] 100.0% --------------------------------------------------------------------- for-loop [105] 32.5% lambda-clause-expander [98] 67.5% [99] 618(10.4%) 0(0.0%) finish-bodys (unknown source) for-loop [105] 100.0% --------------------------------------------------------------------- loop [97] 48.3% hash-ref! [20] 51.7% [100] 464(7.8%) 240(4.1%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 constant? [103] 48.3% --------------------------------------------------------------------- loop [97] 100.0% [101] 416(7.0%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [102] 100.0% --------------------------------------------------------------------- core-form-sym [101] 100.0% [102] 416(7.0%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [104] 100.0% --------------------------------------------------------------------- simplify* [100] 100.0% [103] 224(3.8%) 224(3.8%) constant? .../findroot/src/syntax/syntax.rkt:726:0 --------------------------------------------------------------------- resolve+shift28 [102] 100.0% [104] 416(7.0%) 216(3.7%) fallback-loop (unknown source) for-loop [105] 48.1% --------------------------------------------------------------------- fallback-loop [104] 4.9% compile-forms33 [96] 24.4% for-loop [105] 31.2% finish-bodys [99] 39.4% [105] 818(13.8%) 400(6.8%) for-loop (unknown source) for-loop [105] 31.2% dispatch-transformer41 [3] 26.3% finish-bodys [99] 13.1% ---------------------------------------------------------------------