Profiling results ----------------- Total cpu time observed: 5622ms (out of 5636ms) Number of samples taken: 27 (once every 208ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 5622(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [7] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [2] 1052(18.7%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [8] 58.6% for-loop [9] 41.4% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [3] 416(7.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 hash-ref! [81] 50.0% ??? [71] 50.0% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [4] 226(4.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [11] 100.0% ------------------------------------------------------------------------ for-loop [106] 100.0% [5] 200(3.6%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [10] 100.0% ------------------------------------------------------------------------ for-loop [106] 100.0% [6] 198(3.5%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [12] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [7] 5622(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [8] 616(11.0%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [81] 67.5% ??? [71] 32.5% ------------------------------------------------------------------------ approximate9 [2] 100.0% [9] 436(7.8%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [14] 100.0% ------------------------------------------------------------------------ core-form-sym [100] 49.7% expand-implicit [5] 50.3% [10] 398(7.1%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [15] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [11] 226(4.0%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [81] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [6] 100.0% [12] 198(3.5%) 0(0.0%) apply-transformer52 (unknown source) loop [93] 100.0% ------------------------------------------------------------------------ profile-thunk16 [7] 100.0% [13] 5622(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [16] 100.0% ------------------------------------------------------------------------ map [29] 22.0% taylor [14] 28.0% for-loop [9] 50.0% [14] 436(7.8%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 map [29] 72.0% taylor [14] 28.0% ------------------------------------------------------------------------ resolve+shift28 [10] 100.0% [15] 398(7.1%) 198(3.5%) fallback-loop (unknown source) for-loop [106] 50.3% ------------------------------------------------------------------------ for-loop [90] 3.9% run [13] 96.1% [16] 5622(100.0%) 0(0.0%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [17] 48.1% prepare-points-intervals [18] 29.3% get-final-combination [19] 7.2% for-loop [21] 3.9% errors [82] 3.9% oracle-error [22] 3.6% ??? [20] 2.1% ??? [71] 1.8% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [17] 2706(48.1%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [23] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [18] 1648(29.3%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [24] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [19] 406(7.2%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [25] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [20] 240(4.3%) 240(4.3%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [21] 220(3.9%) 0(0.0%) for-loop ...s/herbie/findroot/src/sandbox.rkt:69:8 errors-score [26] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [22] 202(3.6%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [27] 100.0% ------------------------------------------------------------------------ run-improve47 [17] 100.0% [23] 2706(48.1%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [28] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [18] 100.0% [24] 1648(29.3%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [30] 75.4% ??? [31] 24.6% ------------------------------------------------------------------------ get-final-combination [19] 100.0% [25] 406(7.2%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [32] 100.0% ------------------------------------------------------------------------ for-loop [21] 100.0% [26] 220(3.9%) 0(0.0%) errors-score ...rbie/findroot/src/points.rkt:185:0 loop [93] 100.0% ------------------------------------------------------------------------ oracle-error [22] 100.0% [27] 202(3.6%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 map [29] 100.0% ------------------------------------------------------------------------ for-loop [23] 100.0% [28] 2706(48.1%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [33] 38.9% simplify! [34] 24.2% finalize-iter! [35] 21.9% localize! [40] 7.6% choose-best-alt! [42] 7.4% ------------------------------------------------------------------------ for-loop [27] 16.0% parse-loop15 [95] 16.3% taylor [14] 29.5% f40 [92] 38.1% [29] 1260(22.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [45] 25.5% taylor-invert [36] 24.4% ??? [41] 16.0% hash-ref! [81] 12.3% f40 [92] 7.5% taylor [14] 5.1% simplify-node [43] 5.1% ??? [39] 4.1% ------------------------------------------------------------------------ loop [24] 100.0% [30] 1242(22.1%) 422(7.5%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [71] 33.7% real->precision [38] 32.4% ------------------------------------------------------------------------ loop [24] 100.0% [31] 406(7.2%) 206(3.7%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 ??? [73] 49.3% ------------------------------------------------------------------------ infer-splitpoints [25] 100.0% [32] 406(7.2%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [37] 100.0% ------------------------------------------------------------------------ run-iter! [28] 100.0% [33] 1052(18.7%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [44] 100.0% ------------------------------------------------------------------------ run-iter! [28] 100.0% [34] 656(11.7%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [46] 100.0% ------------------------------------------------------------------------ run-iter! [28] 100.0% [35] 592(10.5%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [47] 100.0% ------------------------------------------------------------------------ map [29] 100.0% [36] 436(7.8%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [45] 56.0% first-nonzero-exp [53] 44.0% ------------------------------------------------------------------------ for-loop [32] 100.0% [37] 406(7.2%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 sort-context-on-expr [48] 50.7% err-lsts->split-indices [50] 49.3% ------------------------------------------------------------------------ loop [30] 100.0% [38] 402(7.2%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [71] 100.0% ------------------------------------------------------------------------ map [29] 100.0% [39] 206(3.7%) 206(3.7%) ??? ...herbie/findroot/src/core/localize.rkt:50:36 ------------------------------------------------------------------------ run-iter! [28] 100.0% [40] 206(3.7%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [49] 100.0% ------------------------------------------------------------------------ map [29] 100.0% [41] 202(3.6%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [71] 100.0% ------------------------------------------------------------------------ run-iter! [28] 100.0% [42] 200(3.6%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [51] 100.0% ------------------------------------------------------------------------ map [29] 100.0% [43] 192(3.4%) 0(0.0%) simplify-node ...findroot/src/core/reduce.rkt:46:0 combine-mterms [52] 100.0% ------------------------------------------------------------------------ gen-series! [33] 100.0% [44] 1052(18.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [54] 100.0% ------------------------------------------------------------------------ taylor-invert [36] 37.0% map [29] 63.0% [45] 660(11.7%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [55] 100.0% ------------------------------------------------------------------------ simplify! [34] 100.0% [46] 656(11.7%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [56] 100.0% ------------------------------------------------------------------------ finalize-iter! [35] 100.0% [47] 592(10.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [57] 100.0% ------------------------------------------------------------------------ option-on-expr [37] 100.0% [48] 206(3.7%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 ??? [58] 100.0% ------------------------------------------------------------------------ localize! [40] 100.0% [49] 206(3.7%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [81] 100.0% ------------------------------------------------------------------------ option-on-expr [37] 100.0% [50] 200(3.6%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [59] 100.0% ------------------------------------------------------------------------ choose-best-alt! [42] 100.0% [51] 200(3.6%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [60] 100.0% ------------------------------------------------------------------------ simplify-node [43] 100.0% [52] 192(3.4%) 192(3.4%) combine-mterms ...ndroot/src/core/reduce.rkt:193:0 ------------------------------------------------------------------------ taylor-invert [36] 100.0% [53] 192(3.4%) 0(0.0%) first-nonzero-exp ...oot/src/core/taylor.rkt:265:0 hash-ref! [81] 100.0% ------------------------------------------------------------------------ for-loop [44] 100.0% [54] 1052(18.7%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [61] 100.0% ------------------------------------------------------------------------ f61 [99] 23.3% parse-loop74 [45] 76.7% [55] 860(15.3%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [89] 51.6% eval-prog [63] 26.3% eval [70] 22.1% ------------------------------------------------------------------------ ??? [46] 100.0% [56] 656(11.7%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [62] 100.0% ------------------------------------------------------------------------ ??? [47] 100.0% [57] 592(10.5%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 for-loop [65] 33.8% atab-add-altn [68] 33.4% loop [69] 32.8% ------------------------------------------------------------------------ sort-context-on-expr [48] 100.0% [58] 206(3.7%) 0(0.0%) ??? ...-7.5/collects/racket/private/sort.rkt:369:3 generic-sort/key [64] 100.0% ------------------------------------------------------------------------ err-lsts->split-indices [50] 100.0% [59] 200(3.6%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [66] 100.0% ------------------------------------------------------------------------ ...ow-val-first.rkt:486:18 [51] 100.0% [60] 200(3.6%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 argmin [67] 100.0% ------------------------------------------------------------------------ taylor-alt [54] 100.0% [61] 1052(18.7%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [71] 100.0% ------------------------------------------------------------------------ egraph-run [56] 100.0% [62] 656(11.7%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [72] 100.0% ------------------------------------------------------------------------ eval-const-expr [55] 100.0% [63] 226(4.0%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 ??? [73] 100.0% ------------------------------------------------------------------------ ??? [58] 100.0% [64] 206(3.7%) 0(0.0%) generic-sort/key .../racket/private/sort.rkt:156:2 copying-mergesort [74] 100.0% ------------------------------------------------------------------------ for-loop [57] 100.0% [65] 200(3.6%) 0(0.0%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ??? [75] 100.0% ------------------------------------------------------------------------ loop [59] 100.0% [66] 200(3.6%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [76] 100.0% ------------------------------------------------------------------------ ??? [60] 100.0% [67] 200(3.6%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [77] 100.0% ------------------------------------------------------------------------ for-loop [57] 100.0% [68] 198(3.5%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [82] 100.0% ------------------------------------------------------------------------ for-loop [57] 100.0% [69] 194(3.5%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 loop [78] 100.0% ------------------------------------------------------------------------ eval-const-expr [55] 100.0% [70] 190(3.4%) 0(0.0%) eval (unknown source) add-ns-scopes [79] 100.0% ------------------------------------------------------------------------ loop [8] 2.9% ??? [3] 6.1% .../more-scheme.rkt:261:28 [16] 8.8% ??? [41] 8.9% real->precision [38] 17.7% loop [30] 18.4% location-do [80] 18.6% for-loop [61] 18.6% [71] 2274(40.4%) 402(7.2%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [80] 18.6% approximate9 [2] 18.6% ival-mult [84] 18.4% bf [85] 17.7% hash-ref! [81] 9.0% ------------------------------------------------------------------------ egraph-add-exprs [62] 100.0% [72] 656(11.7%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [83] 100.0% ------------------------------------------------------------------------ ??? [31] 46.9% eval-prog [63] 53.1% [73] 426(7.6%) 426(7.6%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ------------------------------------------------------------------------ generic-sort/key [64] 25.0% copying-mergesort [74] 75.0% [74] 206(3.7%) 0(0.0%) copying-mergesort ...racket/private/sort.rkt:129:8 copying-mergesort [74] 75.0% jloop [86] 25.0% ------------------------------------------------------------------------ for-loop [65] 100.0% [75] 200(3.6%) 200(3.6%) ??? ...7.5/collects/racket/private/for.rkt:1236:14 ------------------------------------------------------------------------ for-loop [66] 100.0% [76] 200(3.6%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 ??? [87] 100.0% ------------------------------------------------------------------------ argmin [67] 100.0% [77] 200(3.6%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [82] 100.0% ------------------------------------------------------------------------ loop [69] 1.6% loop [78] 98.4% [78] 194(3.5%) 194(3.5%) loop ...racket-7.5/collects/racket/list.rkt:434:28 loop [78] 98.4% ------------------------------------------------------------------------ eval [70] 100.0% [79] 190(3.4%) 0(0.0%) add-ns-scopes (unknown source) gf [88] 100.0% ------------------------------------------------------------------------ location-do [80] 9.0% ??? [71] 91.0% [80] 1052(18.7%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [71] 91.0% location-do [80] 9.0% ------------------------------------------------------------------------ for-loop [11] 4.5% localize-error [49] 5.1% ??? [91] 9.1% ??? [3] 9.1% loop [8] 9.1% map [29] 15.2% first-nonzero-exp [53] 18.9% ??? [71] 28.9% [81] 1014(18.0%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [91] 28.9% f40 [92] 28.1% parse-loop15 [95] 20.3% ??? [3] 18.3% ??? [4] 4.5% ------------------------------------------------------------------------ atab-add-altn [68] 23.6% ??? [77] 23.9% .../more-scheme.rkt:261:28 [16] 52.5% [82] 838(14.9%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [90] 76.4% temp85_0 [89] 23.6% ------------------------------------------------------------------------ ??? [72] 100.0% [83] 656(11.7%) 656(11.7%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ ??? [71] 100.0% [84] 418(7.4%) 0(0.0%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [94] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [85] 402(7.2%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 ??? [98] 50.2% new-mpfr [96] 49.8% ------------------------------------------------------------------------ copying-mergesort [74] 100.0% [86] 206(3.7%) 206(3.7%) jloop ...5/collects/racket/private/sort.rkt:120:23 ------------------------------------------------------------------------ for-loop [76] 100.0% [87] 200(3.6%) 200(3.6%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 ------------------------------------------------------------------------ add-ns-scopes [79] 20.0% loop [93] 80.0% [88] 190(3.4%) 0(0.0%) gf (unknown source) loop [93] 100.0% ------------------------------------------------------------------------ errors [82] 30.8% eval-const-expr [55] 69.2% [89] 642(11.4%) 0(0.0%) temp85_0 (unknown source) compile15 [97] 100.0% ------------------------------------------------------------------------ errors [82] 100.0% [90] 640(11.4%) 200(3.6%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [16] 68.8% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [91] 616(11.0%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [81] 67.5% f61 [99] 32.5% ------------------------------------------------------------------------ map [29] 15.6% hash-ref! [81] 84.4% [92] 608(10.8%) 0(0.0%) f40 (unknown source) map [29] 100.0% ------------------------------------------------------------------------ errors-score [26] 0.0% gf [88] 22.3% apply-transformer52 [12] 32.6% loop [93] 45.1% [93] 608(10.8%) 410(7.3%) loop (unknown source) loop [93] 45.1% core-form-sym [100] 32.6% gf [88] 17.9% ------------------------------------------------------------------------ ival-mult [84] 100.0% [94] 418(7.4%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 ??? [98] 100.0% ------------------------------------------------------------------------ hash-ref! [81] 100.0% [95] 206(3.7%) 0(0.0%) parse-loop15 (unknown source) map [29] 100.0% ------------------------------------------------------------------------ bf [85] 100.0% [96] 200(3.6%) 200(3.6%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ temp85_0 [89] 100.0% [97] 642(11.4%) 0(0.0%) compile15 (unknown source) temp91_0 [101] 100.0% ------------------------------------------------------------------------ bf [85] 32.6% bfmul [94] 67.4% [98] 620(11.0%) 620(11.0%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ ??? [91] 100.0% [99] 200(3.6%) 0(0.0%) f61 (unknown source) eval-const-expr [55] 100.0% ------------------------------------------------------------------------ loop [93] 100.0% [100] 198(3.5%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [10] 100.0% ------------------------------------------------------------------------ compile15 [97] 100.0% [101] 642(11.4%) 0(0.0%) temp91_0 (unknown source) temp118_0 [102] 100.0% ------------------------------------------------------------------------ temp91_0 [101] 100.0% [102] 642(11.4%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [103] 100.0% ------------------------------------------------------------------------ temp118_0 [102] 100.0% [103] 642(11.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [104] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [103] 100.0% [104] 642(11.4%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [105] 100.0% ------------------------------------------------------------------------ lambda-clause-expander [104] 37.7% for-loop [106] 62.3% [105] 642(11.4%) 0(0.0%) finish-bodys (unknown source) for-loop [106] 100.0% ------------------------------------------------------------------------ for-loop [106] 5.1% fallback-loop [15] 10.4% finish-bodys [105] 84.5% [106] 642(11.4%) 200(3.6%) for-loop (unknown source) finish-bodys [105] 52.5% expand-id-application-form17 [107] 19.0% expand-implicit [5] 10.4% for-loop [106] 5.1% dispatch-transformer41 [6] 2.6% ------------------------------------------------------------------------ for-loop [106] 100.0% [107] 244(4.3%) 0(0.0%) expand-id-application-form17 (unknown source) binding-lookup52 [108] 100.0% ------------------------------------------------------------------------ expand-id-application-form17 [107]100.0% [108] 244(4.3%) 244(4.3%) binding-lookup52 (unknown source) ------------------------------------------------------------------------