Profiling results ----------------- Total cpu time observed: 8586ms (out of 8676ms) Number of samples taken: 39 (once every 220ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 8586(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [13] 100.0% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [2] 3988(46.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [80] 91.7% ??? [23] 8.3% ------------------------------------------------------------------------ ??? [76] 100.0% [3] 3988(46.4%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [14] 100.0% ------------------------------------------------------------------------ parse-loop74 [4] 5.2% map [30] 12.7% hash-ref! [80] 82.2% [4] 3188(37.1%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [29] 94.8% parse-loop74 [4] 5.2% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [5] 2772(32.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [15] 100.0% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [6] 2772(32.3%) 202(2.4%) ??? .../herbie/findroot/src/core/taylor.rkt:406:23 for-loop [16] 78.1% for-loop [22] 14.6% ------------------------------------------------------------------------ loop [44] 12.4% for-loop [101] 87.6% [7] 1630(19.0%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [17] 100.0% ------------------------------------------------------------------------ for-loop [101] 100.0% [8] 1544(18.0%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [18] 100.0% ------------------------------------------------------------------------ for-loop [101] 100.0% [9] 604(7.0%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [59] 100.0% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [10] 482(5.6%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [19] 100.0% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [11] 200(2.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:509:23 for-loop [20] 100.0% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [12] 196(2.3%) 0(0.0%) parse-loop15 (unknown source) map [30] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [13] 8586(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [21] 100.0% ------------------------------------------------------------------------ approximate9 [3] 100.0% [14] 3988(46.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [76] 87.9% hash-ref! [80] 12.1% ------------------------------------------------------------------------ ??? [5] 100.0% [15] 2772(32.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [80] 92.6% f40 [24] 7.4% ------------------------------------------------------------------------ ??? [6] 100.0% [16] 2166(25.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:410:33 for-loop [22] 100.0% ------------------------------------------------------------------------ syntax-e [7] 100.0% [17] 1630(19.0%) 0(0.0%) syntax-e/no-taint (unknown source) loop [44] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [8] 100.0% [18] 1544(18.0%) 0(0.0%) apply-transformer52 (unknown source) loop [44] 86.8% apply-transformer-in-context [26] 13.2% ------------------------------------------------------------------------ ??? [10] 100.0% [19] 482(5.6%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 ??? [23] 60.2% f61 [25] 39.8% ------------------------------------------------------------------------ ??? [11] 100.0% [20] 200(2.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:513:35 parse-loop402 [27] 100.0% ------------------------------------------------------------------------ profile-thunk16 [13] 100.0% [21] 8586(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [28] 100.0% ------------------------------------------------------------------------ ??? [6] 15.7% for-loop [16] 84.3% [22] 2570(29.9%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:412:39 hash-ref! [80] 100.0% ------------------------------------------------------------------------ for-loop [19] 46.8% ??? [2] 53.2% [23] 620(7.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [80] 100.0% ------------------------------------------------------------------------ map [30] 16.9% for-loop [15] 16.9% hash-ref! [80] 66.2% [24] 610(7.1%) 0(0.0%) f40 (unknown source) map [30] 100.0% ------------------------------------------------------------------------ for-loop [19] 32.1% hash-ref! [80] 33.4% map [30] 34.4% [25] 598(7.0%) 0(0.0%) f61 (unknown source) eval-const-expr [29] 100.0% ------------------------------------------------------------------------ apply-transformer52 [18] 100.0% [26] 204(2.4%) 204(2.4%) apply-transformer-in-context (unknown source) ------------------------------------------------------------------------ for-loop [20] 100.0% [27] 200(2.3%) 0(0.0%) parse-loop402 (unknown source) for-loop [31] 100.0% ------------------------------------------------------------------------ for-loop [83] 4.6% run [21] 95.4% [28] 8586(100.0%) 0(0.0%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [32] 71.6% prepare-points-intervals [33] 19.2% oracle-error [37] 2.3% ??? [34] 2.3% errors [77] 2.3% ??? [76] 1.2% ulp-difference [38] 1.1% ------------------------------------------------------------------------ f61 [25] 15.8% parse-loop74 [4] 84.2% [29] 3786(44.1%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [79] 89.4% eval [36] 5.3% eval-prog [35] 5.3% ------------------------------------------------------------------------ parse-loop15 [12] 24.3% f40 [24] 75.7% [30] 806(9.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [4] 50.1% hash-ref! [80] 24.3% f40 [24] 12.8% f61 [25] 12.8% ------------------------------------------------------------------------ parse-loop402 [27] 100.0% [31] 200(2.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:516:59 hash-ref! [80] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [28] 100.0% [32] 6344(73.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [39] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [28] 100.0% [33] 1648(19.2%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [40] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [28] 100.0% [34] 400(4.7%) 400(4.7%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------ eval-const-expr [29] 100.0% [35] 200(2.3%) 0(0.0%) eval-prog ...herbie/findroot/src/programs.rkt:82:0 ??? [52] 100.0% ------------------------------------------------------------------------ eval-const-expr [29] 100.0% [36] 200(2.3%) 0(0.0%) eval (unknown source) add-ns-scopes [41] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [28] 100.0% [37] 200(2.3%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [42] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [28] 100.0% [38] 192(2.2%) 192(2.2%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ------------------------------------------------------------------------ run-improve47 [32] 100.0% [39] 6344(73.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [43] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [33] 100.0% [40] 1648(19.2%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [45] 75.6% ??? [46] 24.4% ------------------------------------------------------------------------ eval [36] 100.0% [41] 200(2.3%) 0(0.0%) add-ns-scopes (unknown source) gf [48] 100.0% ------------------------------------------------------------------------ oracle-error [37] 100.0% [42] 200(2.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [44] 100.0% ------------------------------------------------------------------------ for-loop [39] 100.0% [43] 6344(73.9%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [47] 62.9% finalize-iter! [49] 19.0% simplify! [50] 15.0% localize! [56] 3.1% ------------------------------------------------------------------------ loop [44] 2.1% gf [48] 4.2% for-loop [42] 6.3% apply-transformer52 [18] 39.1% syntax-e/no-taint [17] 48.3% [44] 3168(36.9%) 202(2.4%) loop (unknown source) gf [48] 52.5% core-form-sym [51] 29.5% ??? [55] 6.3% syntax-e [7] 3.2% loop [44] 2.1% ------------------------------------------------------------------------ loop [40] 100.0% [45] 1246(14.5%) 0(0.0%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [52] 48.2% real->precision [53] 34.0% ??? [76] 17.8% ------------------------------------------------------------------------ loop [40] 100.0% [46] 402(4.7%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [54] 100.0% ------------------------------------------------------------------------ run-iter! [43] 100.0% [47] 3988(46.4%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [57] 100.0% ------------------------------------------------------------------------ add-ns-scopes [41] 3.6% loop [44] 96.4% [48] 1830(21.3%) 402(4.7%) gf (unknown source) propagation-apply [58] 78.0% loop [44] 7.3% ------------------------------------------------------------------------ run-iter! [43] 100.0% [49] 1208(14.1%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [60] 100.0% ------------------------------------------------------------------------ run-iter! [43] 100.0% [50] 952(11.1%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [61] 100.0% ------------------------------------------------------------------------ loop [44] 100.0% [51] 936(10.9%) 200(2.3%) core-form-sym (unknown source) resolve+shift28 [59] 78.6% ------------------------------------------------------------------------ eval-prog [35] 25.0% loop [45] 75.0% [52] 800(9.3%) 400(4.7%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [64] 25.0% ival-sub [65] 25.0% ------------------------------------------------------------------------ loop [45] 100.0% [53] 424(4.9%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [76] 100.0% ------------------------------------------------------------------------ ??? [46] 100.0% [54] 402(4.7%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [62] 100.0% ------------------------------------------------------------------------ loop [44] 100.0% [55] 200(2.3%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ordinary-value? [63] 100.0% ------------------------------------------------------------------------ run-iter! [43] 100.0% [56] 196(2.3%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [66] 100.0% ------------------------------------------------------------------------ gen-series! [47] 100.0% [57] 3988(46.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [67] 100.0% ------------------------------------------------------------------------ gf [48] 100.0% [58] 1428(16.6%) 1428(16.6%) propagation-apply (unknown source) ------------------------------------------------------------------------ expand-implicit [9] 45.1% core-form-sym [51] 54.9% [59] 1340(15.6%) 330(3.8%) resolve+shift28 (unknown source) fallback-loop [69] 75.4% ------------------------------------------------------------------------ finalize-iter! [49] 100.0% [60] 1208(14.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [68] 100.0% ------------------------------------------------------------------------ simplify! [50] 100.0% [61] 952(11.1%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [70] 100.0% ------------------------------------------------------------------------ sample-multi-bounded [54] 100.0% [62] 402(4.7%) 200(2.3%) random-ranges ...bie/findroot/src/common.rkt:164:0 build--> [71] 50.2% ------------------------------------------------------------------------ ??? [55] 100.0% [63] 200(2.3%) 200(2.3%) ordinary-value? ...bie/findroot/src/float.rkt:51:0 ------------------------------------------------------------------------ ??? [52] 100.0% [64] 200(2.3%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfsub [87] 100.0% ------------------------------------------------------------------------ ??? [52] 100.0% [65] 200(2.3%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfsub [87] 100.0% ------------------------------------------------------------------------ localize! [56] 100.0% [66] 196(2.3%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [80] 100.0% ------------------------------------------------------------------------ for-loop [57] 100.0% [67] 3988(46.4%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [72] 100.0% ------------------------------------------------------------------------ ??? [60] 100.0% [68] 1208(14.1%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 errors [77] 66.6% atab-add-altn [74] 33.4% ------------------------------------------------------------------------ resolve+shift28 [59] 100.0% [69] 1010(11.8%) 202(2.4%) fallback-loop (unknown source) for-loop [101] 80.0% ------------------------------------------------------------------------ ??? [61] 100.0% [70] 952(11.1%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [73] 100.0% ------------------------------------------------------------------------ random-ranges [62] 100.0% [71] 202(2.4%) 0(0.0%) build--> ...act/private/arrow-val-first.rkt:1214:0 chaperone-contract? [75] 100.0% ------------------------------------------------------------------------ taylor-alt [67] 100.0% [72] 3988(46.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [76] 100.0% ------------------------------------------------------------------------ egraph-run [70] 100.0% [73] 952(11.1%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [78] 100.0% ------------------------------------------------------------------------ for-loop [68] 100.0% [74] 404(4.7%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [77] 100.0% ------------------------------------------------------------------------ build--> [71] 100.0% [75] 202(2.4%) 202(2.4%) chaperone-contract? ...ract/private/guts.rkt:135:0 ------------------------------------------------------------------------ ??? [88] 3.3% .../more-scheme.rkt:261:28 [28] 4.2% loop [45] 4.6% real->precision [53] 8.8% loop [14] 24.2% location-do [81] 27.5% for-loop [72] 27.5% [76] 4836(56.3%) 402(4.7%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [81] 27.5% approximate9 [3] 27.5% hash-ref! [80] 27.5% bf [84] 4.6% ival-mult [85] 4.6% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [28] 24.6% atab-add-altn [74] 25.2% for-loop [68] 50.2% [77] 1602(18.7%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 temp85_0 [79] 50.4% for-loop [83] 49.6% ------------------------------------------------------------------------ egraph-add-exprs [73] 100.0% [78] 952(11.1%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [82] 100.0% ------------------------------------------------------------------------ errors [77] 19.3% eval-const-expr [29] 80.7% [79] 4194(48.8%) 0(0.0%) temp85_0 (unknown source) compile15 [86] 100.0% ------------------------------------------------------------------------ for-loop [31] 1.0% map [30] 2.3% localize-error [66] 2.3% loop [14] 3.3% ??? [23] 5.7% for-loop [22] 14.8% for-loop [15] 19.3% ??? [2] 23.7% ??? [76] 27.6% [80] 4184(48.7%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [2] 27.6% ??? [5] 20.9% parse-loop74 [4] 17.9% ??? [6] 16.4% f40 [24] 4.0% ??? [88] 3.3% ??? [10] 3.3% parse-loop15 [12] 2.3% ??? [89] 2.3% ??? [11] 1.0% f61 [25] 1.0% ------------------------------------------------------------------------ ??? [76] 26.5% location-do [81] 73.5% [81] 3988(46.4%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [81] 73.5% ??? [76] 26.5% ------------------------------------------------------------------------ ??? [78] 100.0% [82] 952(11.1%) 952(11.1%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ errors [77] 100.0% [83] 794(9.2%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [28] 100.0% ------------------------------------------------------------------------ ??? [76] 100.0% [84] 224(2.6%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [91] 100.0% ------------------------------------------------------------------------ ??? [76] 100.0% [85] 222(2.6%) 0(0.0%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfsub [87] 100.0% ------------------------------------------------------------------------ temp85_0 [79] 100.0% [86] 4194(48.8%) 0(0.0%) compile15 (unknown source) temp91_0 [90] 100.0% ------------------------------------------------------------------------ ival-sub [65] 32.2% ival-add [64] 32.2% ival-mult [85] 35.7% [87] 622(7.2%) 0(0.0%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [91] 67.8% ??? [92] 32.2% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [88] 482(5.6%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [76] 100.0% ------------------------------------------------------------------------ hash-ref! [80] 100.0% [89] 196(2.3%) 0(0.0%) ??? ...herbie/findroot/src/core/localize.rkt:17:13 repeat [93] 100.0% ------------------------------------------------------------------------ compile15 [86] 100.0% [90] 4194(48.8%) 0(0.0%) temp91_0 (unknown source) temp118_0 [94] 90.6% compile-top9 [95] 9.4% ------------------------------------------------------------------------ bf [84] 34.7% bfsub [87] 65.3% [91] 646(7.5%) 646(7.5%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ bfsub [87] 100.0% [92] 200(2.3%) 200(2.3%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ ??? [89] 100.0% [93] 196(2.3%) 0(0.0%) repeat ...erbie/findroot/src/core/localize.rkt:8:0 for-loop [96] 100.0% ------------------------------------------------------------------------ temp91_0 [90] 100.0% [94] 3798(44.2%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [97] 100.0% ------------------------------------------------------------------------ temp91_0 [90] 100.0% [95] 396(4.6%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [98] 100.0% ------------------------------------------------------------------------ repeat [93] 100.0% [96] 196(2.3%) 196(2.3%) for-loop ...bie/findroot/src/core/localize.rkt:9:2 ------------------------------------------------------------------------ temp118_0 [94] 100.0% [97] 3798(44.2%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [99] 100.0% ------------------------------------------------------------------------ compile-top9 [95] 100.0% [98] 396(4.6%) 204(2.4%) compile-forms33 (unknown source) for-loop [101] 48.5% ------------------------------------------------------------------------ expand-capturing-lifts [97] 100.0% [99] 3798(44.2%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [100] 100.0% ------------------------------------------------------------------------ lambda-clause-expander [99] 16.8% for-loop [101] 83.2% [100] 3798(44.2%) 0(0.0%) finish-bodys (unknown source) for-loop [101] 100.0% ------------------------------------------------------------------------ fallback-loop [69] 3.6% compile-forms33 [98] 4.8% for-loop [101] 14.4% finish-bodys [100] 77.3% [101] 3990(46.5%) 1030(12.0%) for-loop (unknown source) finish-bodys [100] 66.3% for-loop [101] 14.4% dispatch-transformer41 [8] 6.4% compile-module-linklet57 [102] 4.8% expand-implicit [9] 2.5% syntax-e [7] 1.9% ------------------------------------------------------------------------ for-loop [101] 100.0% [102] 192(2.2%) 192(2.2%) compile-module-linklet57 (unknown source) ------------------------------------------------------------------------