Profiling results ----------------- Total cpu time observed: 5126ms (out of 5184ms) Number of samples taken: 24 (once every 214ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= [1] 5126(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [10] 100.0% ----------------------------------------------------------------------- ??? [76] 100.0% [2] 1408(27.5%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [11] 73.9% for-loop [14] 26.1% ----------------------------------------------------------------------- hash-ref! [59] 35.9% map [78] 64.1% [3] 574(11.2%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [12] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [4] 402(7.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [13] 100.0% ----------------------------------------------------------------------- taylor [67] 100.0% [5] 368(7.2%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 first-nonzero-exp [15] 100.0% ----------------------------------------------------------------------- loop [100] 100.0% [6] 206(4.0%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [16] 100.0% ----------------------------------------------------------------------- loop [100] 100.0% [7] 202(3.9%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [17] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [8] 202(3.9%) 0(0.0%) f61 (unknown source) eval-const-expr [12] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [9] 200(3.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [18] 100.0% ----------------------------------------------------------------------- ??? [1] 100.0% [10] 5126(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [19] 100.0% ----------------------------------------------------------------------- approximate9 [2] 100.0% [11] 1040(20.3%) 232(4.5%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [59] 57.9% ??? [76] 19.8% ----------------------------------------------------------------------- f61 [8] 26.0% parse-loop74 [3] 74.0% [12] 776(15.1%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [20] 74.0% loop [100] 26.0% ----------------------------------------------------------------------- ??? [4] 100.0% [13] 402(7.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [59] 50.2% ??? [22] 49.8% ----------------------------------------------------------------------- approximate9 [2] 100.0% [14] 368(7.2%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [67] 100.0% ----------------------------------------------------------------------- taylor-invert [5] 100.0% [15] 368(7.2%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [59] 100.0% ----------------------------------------------------------------------- syntax-e [6] 100.0% [16] 206(4.0%) 0(0.0%) syntax-e/no-taint (unknown source) loop [100] 100.0% ----------------------------------------------------------------------- core-form-sym [7] 100.0% [17] 202(3.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [21] 100.0% ----------------------------------------------------------------------- ??? [9] 100.0% [18] 200(3.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [59] 100.0% ----------------------------------------------------------------------- profile-thunk16 [10] 100.0% [19] 5126(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [23] 100.0% ----------------------------------------------------------------------- eval-const-expr [12] 100.0% [20] 574(11.2%) 0(0.0%) temp85_0 (unknown source) compile15 [24] 100.0% ----------------------------------------------------------------------- resolve+shift28 [17] 100.0% [21] 202(3.9%) 0(0.0%) fallback-loop (unknown source) for-loop [61] 100.0% ----------------------------------------------------------------------- for-loop [13] 100.0% [22] 200(3.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [59] 100.0% ----------------------------------------------------------------------- for-loop [85] 7.8% run [19] 92.2% [23] 5126(100.0%) 600(11.7%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [25] 51.2% prepare-points-intervals [26] 31.3% get-final-combination [28] 3.9% oracle-error [29] 3.9% ??? [76] 2.0% errors [77] 1.9% ----------------------------------------------------------------------- temp85_0 [20] 100.0% [24] 574(11.2%) 0(0.0%) compile15 (unknown source) temp91_0 [27] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [25] 2928(57.1%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [30] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [26] 1602(31.3%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [31] 100.0% ----------------------------------------------------------------------- compile15 [24] 100.0% [27] 574(11.2%) 0(0.0%) temp91_0 (unknown source) compile-top9 [32] 64.1% temp118_0 [33] 35.9% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [28] 202(3.9%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [34] 100.0% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 100.0% [29] 198(3.9%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [35] 100.0% ----------------------------------------------------------------------- run-improve47 [25] 100.0% [30] 2928(57.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [36] 100.0% ----------------------------------------------------------------------- prepare-points-intervals [26] 100.0% [31] 1602(31.3%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [37] 87.5% ??? [41] 12.5% ----------------------------------------------------------------------- temp91_0 [27] 100.0% [32] 368(7.2%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [39] 100.0% ----------------------------------------------------------------------- temp91_0 [27] 100.0% [33] 206(4.0%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [38] 100.0% ----------------------------------------------------------------------- get-final-combination [28] 100.0% [34] 202(3.9%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [40] 100.0% ----------------------------------------------------------------------- oracle-error [29] 100.0% [35] 198(3.9%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [100] 100.0% ----------------------------------------------------------------------- for-loop [30] 100.0% [36] 2928(57.1%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [42] 48.1% finalize-iter! [43] 27.5% simplify! [45] 17.6% localize! [50] 6.8% ----------------------------------------------------------------------- loop [31] 100.0% [37] 1402(27.4%) 200(3.9%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 real->precision [44] 42.9% ??? [76] 28.2% ??? [47] 14.6% ----------------------------------------------------------------------- loop [100] 49.5% temp118_0 [33] 50.5% [38] 408(8.0%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [46] 50.5% dispatch-transformer41 [69] 49.5% ----------------------------------------------------------------------- compile-top9 [32] 100.0% [39] 368(7.2%) 0(0.0%) compile-forms33 (unknown source) for-loop [61] 100.0% ----------------------------------------------------------------------- infer-splitpoints [34] 100.0% [40] 202(3.9%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [48] 100.0% ----------------------------------------------------------------------- loop [31] 100.0% [41] 200(3.9%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [49] 100.0% ----------------------------------------------------------------------- run-iter! [36] 100.0% [42] 1408(27.5%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [51] 100.0% ----------------------------------------------------------------------- run-iter! [36] 100.0% [43] 804(15.7%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [52] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [44] 602(11.7%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [76] 100.0% ----------------------------------------------------------------------- run-iter! [36] 100.0% [45] 516(10.1%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [53] 100.0% ----------------------------------------------------------------------- expand-capturing-lifts [38] 100.0% [46] 206(4.0%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [54] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [47] 204(4.0%) 204(4.0%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ----------------------------------------------------------------------- for-loop [40] 100.0% [48] 202(3.9%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 err-lsts->split-indices [55] 100.0% ----------------------------------------------------------------------- ??? [41] 100.0% [49] 200(3.9%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [56] 100.0% ----------------------------------------------------------------------- run-iter! [36] 100.0% [50] 200(3.9%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [57] 100.0% ----------------------------------------------------------------------- gen-series! [42] 100.0% [51] 1408(27.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [58] 100.0% ----------------------------------------------------------------------- finalize-iter! [43] 100.0% [52] 804(15.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [60] 100.0% ----------------------------------------------------------------------- simplify! [45] 100.0% [53] 516(10.1%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [62] 100.0% ----------------------------------------------------------------------- for-loop [61] 50.0% lambda-clause-expander [46] 50.0% [54] 206(4.0%) 0(0.0%) finish-bodys (unknown source) for-loop [61] 100.0% ----------------------------------------------------------------------- option-on-expr [48] 100.0% [55] 202(3.9%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [63] 100.0% ----------------------------------------------------------------------- sample-multi-bounded [49] 100.0% [56] 200(3.9%) 200(3.9%) random-ranges ...bie/findroot/src/common.rkt:164:0 ----------------------------------------------------------------------- localize! [50] 100.0% [57] 200(3.9%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [59] 100.0% ----------------------------------------------------------------------- for-loop [51] 100.0% [58] 1408(27.5%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [64] 100.0% ----------------------------------------------------------------------- ??? [22] 1.8% localize-error [57] 2.9% for-loop [13] 2.9% for-loop [18] 3.6% ??? [66] 4.8% map [78] 11.6% loop [11] 12.0% ??? [65] 12.2% ??? [76] 19.5% first-nonzero-exp [15] 26.7% [59] 1376(26.8%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 f40 [72] 26.7% ??? [66] 16.8% parse-loop15 [75] 14.5% ??? [65] 12.2% parse-loop74 [3] 7.5% taylor [67] 7.3% ??? [4] 4.8% ??? [9] 3.6% f61 [8] 2.9% simplify-node [74] 1.8% ----------------------------------------------------------------------- ??? [52] 100.0% [60] 804(15.7%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [70] 50.2% errors [77] 49.8% ----------------------------------------------------------------------- for-loop [61] 8.8% finish-bodys [54] 17.7% fallback-loop [21] 26.0% compile-forms33 [39] 47.4% [61] 776(15.1%) 202(3.9%) for-loop (unknown source) compile-module-linklet57 [71] 47.4% finish-bodys [54] 8.8% for-loop [61] 8.8% dispatch-transformer41 [69] 8.8% ----------------------------------------------------------------------- ??? [53] 100.0% [62] 516(10.1%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [68] 100.0% ----------------------------------------------------------------------- err-lsts->split-indices [55] 100.0% [63] 202(3.9%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [73] 100.0% ----------------------------------------------------------------------- taylor-alt [58] 100.0% [64] 1408(27.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [76] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [65] 608(11.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [66] 602(11.7%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [76] 66.6% hash-ref! [59] 33.4% ----------------------------------------------------------------------- hash-ref! [59] 7.0% map [78] 21.6% for-loop [14] 21.6% taylor [67] 49.8% [67] 568(11.1%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [67] 49.8% map [78] 21.6% taylor-invert [5] 21.6% debug-print [83] 7.0% ----------------------------------------------------------------------- egraph-run [62] 100.0% [68] 516(10.1%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [79] 100.0% ----------------------------------------------------------------------- expand-capturing-lifts [38] 49.5% for-loop [61] 50.5% [69] 408(8.0%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [80] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [70] 404(7.9%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [77] 100.0% ----------------------------------------------------------------------- for-loop [61] 100.0% [71] 368(7.2%) 368(7.2%) compile-module-linklet57 (unknown source) ----------------------------------------------------------------------- hash-ref! [59] 100.0% [72] 368(7.2%) 0(0.0%) f40 (unknown source) map [78] 100.0% ----------------------------------------------------------------------- loop [63] 100.0% [73] 202(3.9%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [81] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [74] 200(3.9%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 append-map [82] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [75] 200(3.9%) 0(0.0%) parse-loop15 (unknown source) map [78] 100.0% ----------------------------------------------------------------------- loop [11] 2.6% .../more-scheme.rkt:261:28 [23] 7.7% ??? [66] 7.7% loop [37] 15.2% location-do [84] 21.8% for-loop [64] 21.8% real->precision [44] 23.1% [76] 2606(50.8%) 400(7.8%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [84] 21.8% approximate9 [2] 21.8% bf [87] 15.4% ival-mult [88] 15.2% hash-ref! [59] 10.3% ----------------------------------------------------------------------- .../more-scheme.rkt:261:28 [23] 19.6% for-loop [60] 40.0% atab-add-altn [70] 40.4% [77] 1000(19.5%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [85] 100.0% ----------------------------------------------------------------------- f40 [72] 32.4% taylor [67] 32.4% parse-loop15 [75] 35.2% [78] 568(11.1%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 taylor [67] 32.4% parse-loop74 [3] 32.4% hash-ref! [59] 28.2% loop [92] 7.0% ----------------------------------------------------------------------- egraph-add-exprs [68] 100.0% [79] 516(10.1%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [86] 100.0% ----------------------------------------------------------------------- dispatch-transformer41 [69] 100.0% [80] 408(8.0%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [89] 50.5% loop [100] 49.5% ----------------------------------------------------------------------- for-loop [73] 100.0% [81] 202(3.9%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ??? [90] 100.0% ----------------------------------------------------------------------- simplify-node [74] 100.0% [82] 200(3.9%) 200(3.9%) append-map ...t-7.5/collects/racket/list.rkt:586:2 ----------------------------------------------------------------------- taylor [67] 100.0% [83] 200(3.9%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 for-loop [91] 100.0% ----------------------------------------------------------------------- location-do [84] 36.2% ??? [76] 63.8% [84] 1408(27.5%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [76] 63.8% location-do [84] 36.2% ----------------------------------------------------------------------- errors [77] 100.0% [85] 1000(19.5%) 200(3.9%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [23] 80.0% ----------------------------------------------------------------------- ??? [79] 100.0% [86] 516(10.1%) 516(10.1%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ----------------------------------------------------------------------- ??? [76] 100.0% [87] 402(7.8%) 200(3.9%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [94] 50.2% ----------------------------------------------------------------------- ??? [76] 100.0% [88] 396(7.7%) 200(3.9%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [98] 49.5% ----------------------------------------------------------------------- apply-transformer52 [80] 100.0% [89] 206(4.0%) 0(0.0%) apply-transformer-in-context (unknown source) ??? [93] 100.0% ----------------------------------------------------------------------- for-loop [81] 100.0% [90] 202(3.9%) 202(3.9%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ----------------------------------------------------------------------- debug-print [83] 100.0% [91] 200(3.9%) 200(3.9%) for-loop ...es/herbie/findroot/src/debug.rkt:116:2 ----------------------------------------------------------------------- map [78] 2.4% loop [92] 97.6% [92] 200(3.9%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [92] 97.6% bf* [95] 2.4% ----------------------------------------------------------------------- apply-transformer-in-context [89]100.0% [93] 206(4.0%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [96] 100.0% ----------------------------------------------------------------------- bf [87] 100.0% [94] 202(3.9%) 202(3.9%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ----------------------------------------------------------------------- loop [92] 100.0% [95] 200(3.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [97] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 206(4.0%) 0(0.0%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 syntax->list [99] 100.0% ----------------------------------------------------------------------- bf* [95] 100.0% [97] 200(3.9%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [98] 100.0% ----------------------------------------------------------------------- ival-mult [88] 49.5% ??? [97] 50.5% [98] 396(7.7%) 396(7.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ----------------------------------------------------------------------- ??? [96] 100.0% [99] 206(4.0%) 0(0.0%) syntax->list (unknown source) loop [100] 100.0% ----------------------------------------------------------------------- apply-transformer52 [80] 16.7% eval-const-expr [12] 16.7% syntax-e/no-taint [16] 17.0% syntax->list [99] 17.0% for-loop [35] 32.7% [100] 606(11.8%) 0(0.0%) loop (unknown source) ??? [102] 32.7% syntax-e [6] 17.0% gf [101] 17.0% expand-capturing-lifts [38] 16.7% core-form-sym [7] 16.7% ----------------------------------------------------------------------- loop [100] 100.0% [101] 206(4.0%) 0(0.0%) gf (unknown source) propagation-apply [103] 100.0% ----------------------------------------------------------------------- loop [100] 100.0% [102] 198(3.9%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [104] 100.0% ----------------------------------------------------------------------- gf [101] 100.0% [103] 206(4.0%) 206(4.0%) propagation-apply (unknown source) ----------------------------------------------------------------------- ??? [102] 100.0% [104] 198(3.9%) 198(3.9%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 -----------------------------------------------------------------------