Profiling results ----------------- Total cpu time observed: 5958ms (out of 6112ms) Number of samples taken: 28 (once every 213ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== [1] 5958(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [9] 100.0% ---------------------------------------------------------------------- ??? [69] 100.0% [2] 2172(36.5%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [10] 52.9% taylor [18] 28.0% for-loop [14] 19.2% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [3] 1148(19.3%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [78] 81.9% ??? [20] 18.1% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [4] 912(15.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [5] 704(11.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [12] 100.0% ---------------------------------------------------------------------- for-loop [97] 100.0% [6] 402(6.7%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [13] 100.0% ---------------------------------------------------------------------- for-loop [97] 100.0% [7] 402(6.7%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [15] 100.0% ---------------------------------------------------------------------- matcher [87] 100.0% [8] 200(3.4%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [16] 100.0% ---------------------------------------------------------------------- ??? [1] 100.0% [9] 5958(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [17] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [10] 1148(19.3%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [69] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [11] 912(15.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [78] 56.0% ??? [20] 22.1% f61 [34] 21.9% ---------------------------------------------------------------------- ??? [5] 100.0% [12] 704(11.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [78] 100.0% ---------------------------------------------------------------------- core-form-sym [100] 33.4% expand-implicit [6] 66.6% [13] 604(10.1%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [19] 100.0% ---------------------------------------------------------------------- approximate9 [2] 100.0% [14] 416(7.0%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [18] 100.0% ---------------------------------------------------------------------- syntax-e [7] 100.0% [15] 402(6.7%) 0(0.0%) syntax-e/no-taint (unknown source) loop [98] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [16] 200(3.4%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [78] 100.0% ---------------------------------------------------------------------- profile-thunk16 [9] 100.0% [17] 5958(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [21]100.0% ---------------------------------------------------------------------- for-loop [14] 14.0% map [22] 23.9% approximate9 [2] 29.9% taylor [18] 32.2% [18] 1024(17.2%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 map [22] 33.6% taylor [18] 32.2% taylor-quotient [24] 20.1% taylor-invert [29] 6.6% debug5 [23] 4.2% debug-print [25] 3.3% ---------------------------------------------------------------------- resolve+shift28 [13] 100.0% [19] 604(10.1%) 0(0.0%) fallback-loop (unknown source) for-loop [97] 100.0% ---------------------------------------------------------------------- ??? [3] 40.8% for-loop [11] 59.2% [20] 510(8.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [78] 100.0% ---------------------------------------------------------------------- for-loop [80] 5.0% run [17] 95.0% [21] 5958(100.0%) 0(0.0%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [26] 70.1% prepare-points-intervals [28] 17.9% get-final-combination [30] 3.7% errors [70] 3.2% ??? [69] 1.7% ??? [31] 1.7% ??? [32] 1.7% ---------------------------------------------------------------------- f61 [34] 19.8% taylor [18] 80.2% [22] 1020(17.1%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 taylor [18] 60.6% taylor-invert [29] 19.6% f61 [34] 9.9% parse-loop74 [27] 9.9% ---------------------------------------------------------------------- taylor [18] 100.0% [23] 216(3.6%) 216(3.6%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 ---------------------------------------------------------------------- taylor [18] 100.0% [24] 206(3.5%) 0(0.0%) taylor-quotient ...droot/src/core/taylor.rkt:333:0 parse-loop74 [27] 100.0% ---------------------------------------------------------------------- taylor [18] 100.0% [25] 200(3.4%) 200(3.4%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21]100.0% [26] 4476(75.1%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [33] 100.0% ---------------------------------------------------------------------- map [22] 16.1% taylor-quotient [24] 16.4% parse-loop74 [27] 18.9% hash-ref! [78] 48.5% [27] 1254(21.0%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [39] 46.1% f61 [34] 34.9% parse-loop74 [27] 18.9% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21]100.0% [28] 1068(17.9%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [35] 100.0% ---------------------------------------------------------------------- map [22] 49.8% taylor [18] 50.2% [29] 402(6.7%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [36] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21]100.0% [30] 222(3.7%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 ??? [37] 100.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21]100.0% [31] 200(3.4%) 200(3.4%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21]100.0% [32] 200(3.4%) 0(0.0%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 list-member? [47] 100.0% ---------------------------------------------------------------------- run-improve47 [26] 100.0% [33] 4476(75.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [38] 100.0% ---------------------------------------------------------------------- map [22] 8.8% for-loop [11] 17.5% hash-ref! [78] 35.3% parse-loop74 [27] 38.4% [34] 1142(19.2%) 0(0.0%) f61 (unknown source) eval-const-expr [39] 82.3% map [22] 17.7% ---------------------------------------------------------------------- prepare-points-intervals [28] 100.0% [35] 1068(17.9%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 ??? [40] 60.1% loop [41] 21.0% ordinary-value? [42] 18.9% ---------------------------------------------------------------------- taylor-invert [29] 100.0% [36] 402(6.7%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [78] 100.0% ---------------------------------------------------------------------- get-final-combination [30] 100.0% [37] 222(3.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:38:0 ??? [52] 100.0% ---------------------------------------------------------------------- for-loop [33] 100.0% [38] 4476(75.1%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [43] 48.5% finalize-iter! [44] 35.7% simplify! [45] 11.3% gen-rewrites! [49] 4.5% ---------------------------------------------------------------------- parse-loop74 [27] 46.5% f61 [34] 53.5% [39] 1756(29.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [79] 76.8% loop [98] 23.2% ---------------------------------------------------------------------- loop [35] 100.0% [40] 642(10.8%) 224(3.8%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [46] 65.1% ---------------------------------------------------------------------- loop [35] 100.0% [41] 224(3.8%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [48] 100.0% ---------------------------------------------------------------------- loop [35] 100.0% [42] 202(3.4%) 0(0.0%) ordinary-value? ...bie/findroot/src/float.rkt:51:0 list-member? [47] 100.0% ---------------------------------------------------------------------- run-iter! [38] 100.0% [43] 2172(36.5%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [50] 100.0% ---------------------------------------------------------------------- run-iter! [38] 100.0% [44] 1600(26.9%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [51] 100.0% ---------------------------------------------------------------------- run-iter! [38] 100.0% [45] 504(8.5%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [52] 100.0% ---------------------------------------------------------------------- ??? [40] 100.0% [46] 418(7.0%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [53] 100.0% ---------------------------------------------------------------------- ??? [32] 49.8% ordinary-value? [42] 50.2% [47] 402(6.7%) 402(6.7%) list-member? ...llects/racket/private/set.rkt:24:0 ---------------------------------------------------------------------- loop [41] 100.0% [48] 224(3.8%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [54] 100.0% ---------------------------------------------------------------------- run-iter! [38] 100.0% [49] 200(3.4%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [55] 100.0% ---------------------------------------------------------------------- gen-series! [43] 100.0% [50] 2172(36.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [56] 100.0% ---------------------------------------------------------------------- finalize-iter! [44] 100.0% [51] 1600(26.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [57] 100.0% ---------------------------------------------------------------------- ??? [37] 30.6% simplify! [45] 69.4% [52] 726(12.2%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [58] 100.0% ---------------------------------------------------------------------- sample-multi-bounded [46] 100.0% [53] 418(7.0%) 218(3.7%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [60] 47.8% ---------------------------------------------------------------------- ??? [48] 100.0% [54] 224(3.8%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfadd [59] 100.0% ---------------------------------------------------------------------- gen-rewrites! [49] 100.0% [55] 200(3.4%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [61] 100.0% ---------------------------------------------------------------------- for-loop [50] 100.0% [56] 2172(36.5%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [62] 100.0% ---------------------------------------------------------------------- ??? [51] 100.0% [57] 1600(26.9%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [63] 74.9% errors [70] 12.6% loop [66] 12.5% ---------------------------------------------------------------------- ??? [52] 100.0% [58] 726(12.2%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [64] 100.0% ---------------------------------------------------------------------- ival-add [54] 100.0% [59] 224(3.8%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [65] 100.0% ---------------------------------------------------------------------- random-ranges [53] 100.0% [60] 200(3.4%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [67] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [61] 200(3.4%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [68] 100.0% ---------------------------------------------------------------------- taylor-alt [56] 100.0% [62] 2172(36.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [69] 100.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [63] 1198(20.1%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [70] 66.8% override-at-pnts [74] 16.7% for-loop [76] 16.5% ---------------------------------------------------------------------- egraph-run [58] 100.0% [64] 726(12.2%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [71] 100.0% ---------------------------------------------------------------------- bfadd [59] 100.0% [65] 224(3.8%) 224(3.8%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ---------------------------------------------------------------------- for-loop [57] 100.0% [66] 200(3.4%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [72] 100.0% ---------------------------------------------------------------------- cons/c [60] 100.0% [67] 200(3.4%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [73] 100.0% ---------------------------------------------------------------------- rewrite-expression-head24 [61] 25.0% matcher [87] 75.0% [68] 200(3.4%) 200(3.4%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [75] 75.0% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21] 8.4% loop [10] 16.1% location-do [77] 37.7% for-loop [62] 37.7% [69] 2372(39.8%) 200(3.4%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [77] 37.7% approximate9 [2] 37.7% hash-ref! [78] 16.1% ---------------------------------------------------------------------- .../more-scheme.rkt:261:28 [21] 16.1% for-loop [57] 16.9% atab-add-altn [63] 67.0% [70] 1194(20.0%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [80] 66.3% temp85_0 [79] 33.7% ---------------------------------------------------------------------- egraph-add-exprs [64] 100.0% [71] 726(12.2%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [81] 69.4% egg-run-rules [82] 30.6% ---------------------------------------------------------------------- loop [66] 100.0% [72] 200(3.4%) 200(3.4%) loop ...erbie/findroot/src/core/alt-table.rkt:92:2 ---------------------------------------------------------------------- coerce-contract [67] 100.0% [73] 200(3.4%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [83] 100.0% ---------------------------------------------------------------------- atab-add-altn [63] 100.0% [74] 200(3.4%) 0(0.0%) override-at-pnts ...t/src/core/alt-table.rkt:129:0 for-loop [84] 100.0% ---------------------------------------------------------------------- rewriter [68] 100.0% [75] 200(3.4%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [78] 100.0% ---------------------------------------------------------------------- atab-add-altn [63] 100.0% [76] 198(3.3%) 198(3.3%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ---------------------------------------------------------------------- location-do [77] 16.3% ??? [69] 83.7% [77] 2172(36.5%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [69] 83.7% location-do [77] 16.3% ---------------------------------------------------------------------- ??? [86] 2.5% for-loop [16] 5.7% for-loop [75] 5.7% ??? [20] 8.9% for-loop [11] 9.3% for-loop [12] 11.1% first-nonzero-exp [36] 17.3% ??? [3] 17.8% ??? [69] 21.8% [78] 1750(29.4%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop74 [27] 28.0% ??? [3] 21.8% ??? [4] 20.0% matcher [87] 11.4% ??? [5] 11.1% f61 [34] 5.4% ??? [86] 2.5% ---------------------------------------------------------------------- errors [70] 23.0% eval-const-expr [39] 77.0% [79] 1750(29.4%) 0(0.0%) temp85_0 (unknown source) compile15 [85] 100.0% ---------------------------------------------------------------------- errors [70] 100.0% [80] 792(13.3%) 192(3.2%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [21] 75.8% ---------------------------------------------------------------------- ??? [71] 100.0% [81] 504(8.5%) 504(8.5%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ---------------------------------------------------------------------- ??? [71] 100.0% [82] 222(3.7%) 222(3.7%) egg-run-rules ...droot/src/core/simplify.rkt:108:0 ---------------------------------------------------------------------- coerce-contract/f [73] 100.0% [83] 200(3.4%) 200(3.4%) coerce-simple-value ...ract/private/guts.rkt:385:0 ---------------------------------------------------------------------- override-at-pnts [74] 100.0% [84] 200(3.4%) 200(3.4%) for-loop ...findroot/src/core/alt-table.rkt:130:22 ---------------------------------------------------------------------- temp85_0 [79] 100.0% [85] 1750(29.4%) 0(0.0%) compile15 (unknown source) temp91_0 [88] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [86] 302(5.1%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [78] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [87] 200(3.4%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [8] 50.0% rewriter [68] 50.0% ---------------------------------------------------------------------- compile15 [85] 100.0% [88] 1750(29.4%) 0(0.0%) temp91_0 (unknown source) temp118_0 [89] 71.3% compile-top9 [90] 28.7% ---------------------------------------------------------------------- temp91_0 [88] 100.0% [89] 1248(20.9%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [91] 100.0% ---------------------------------------------------------------------- temp91_0 [88] 100.0% [90] 502(8.4%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [92] 100.0% ---------------------------------------------------------------------- loop [98] 24.6% temp118_0 [89] 75.4% [91] 1656(27.8%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [93] 75.4% loop [98] 12.4% dispatch-transformer41 [94] 12.2% ---------------------------------------------------------------------- compile-top9 [90] 100.0% [92] 502(8.4%) 302(5.1%) compile-forms33 (unknown source) for-loop [97] 39.8% ---------------------------------------------------------------------- expand-capturing-lifts [91] 100.0% [93] 1248(20.9%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [95] 100.0% ---------------------------------------------------------------------- expand-capturing-lifts [91] 100.0% [94] 202(3.4%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [96] 100.0% ---------------------------------------------------------------------- lambda-clause-expander [93] 23.0% for-loop [97] 77.0% [95] 1248(20.9%) 0(0.0%) finish-bodys (unknown source) for-loop [97] 100.0% ---------------------------------------------------------------------- dispatch-transformer41 [94] 100.0% [96] 202(3.4%) 0(0.0%) apply-transformer52 (unknown source) loop [98] 100.0% ---------------------------------------------------------------------- compile-forms33 [92] 12.1% fallback-loop [19] 15.7% for-loop [97] 18.3% finish-bodys [95] 53.8% [97] 1650(27.7%) 1048(17.6%) for-loop (unknown source) finish-bodys [95] 41.7% for-loop [97] 18.3% compile-module-linklet57 [101] 12.1% expand-implicit [6] 3.5% syntax-e [7] 2.7% ---------------------------------------------------------------------- apply-transformer52 [96] 12.5% expand-capturing-lifts [91] 12.7% eval-const-expr [39] 25.2% syntax-e/no-taint [15] 49.6% [98] 810(13.6%) 206(3.5%) loop (unknown source) gf [99] 49.6% expand-capturing-lifts [91] 25.2% core-form-sym [100] 12.5% ---------------------------------------------------------------------- loop [98] 100.0% [99] 402(6.7%) 0(0.0%) gf (unknown source) propagation-apply [102] 100.0% ---------------------------------------------------------------------- loop [98] 100.0% [100] 202(3.4%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [13] 100.0% ---------------------------------------------------------------------- for-loop [97] 100.0% [101] 200(3.4%) 200(3.4%) compile-module-linklet57 (unknown source) ---------------------------------------------------------------------- gf [99] 100.0% [102] 402(6.7%) 402(6.7%) propagation-apply (unknown source) ----------------------------------------------------------------------