Profiling results ----------------- Total cpu time observed: 10582ms (out of 10692ms) Number of samples taken: 56 (once every 189ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 10582(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [6] 100.0% ------------------------------------------------------------------------ ??? [55] 100.0% [2] 1046(9.9%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [8] 60.0% for-loop [10] 40.0% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [3] 428(4.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [9] 100.0% ------------------------------------------------------------------------ taylor [14] 100.0% [4] 200(1.9%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [7] 100.0% ------------------------------------------------------------------------ for-loop [79] 100.0% [5] 200(1.9%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [11] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [6] 10582(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% ------------------------------------------------------------------------ taylor-invert [4] 24.2% hash-ref! [62] 75.8% [7] 828(7.8%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [13] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [8] 628(5.9%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [55] 100.0% ------------------------------------------------------------------------ ??? [3] 100.0% [9] 428(4.0%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [62] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [10] 418(4.0%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [14] 100.0% ------------------------------------------------------------------------ expand-implicit [5] 100.0% [11] 200(1.9%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [15] 100.0% ------------------------------------------------------------------------ profile-thunk16 [6] 100.0% [12] 10582(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% ------------------------------------------------------------------------ parse-loop74 [7] 100.0% [13] 828(7.8%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [59] 100.0% ------------------------------------------------------------------------ map [17] 29.0% for-loop [10] 29.0% taylor [14] 42.0% [14] 418(4.0%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [14] 42.0% map [17] 29.0% taylor-invert [4] 15.9% taylor-log [18] 13.0% ------------------------------------------------------------------------ resolve+shift28 [11] 100.0% [15] 200(1.9%) 0(0.0%) fallback-loop (unknown source) for-loop [79] 100.0% ------------------------------------------------------------------------ for-loop [60] 3.2% run [12] 96.8% [16] 10582(100.0%) 336(3.2%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [23] 67.3% run-improve47 [19] 23.8% errors [56] 4.3% ??? [20] 1.6% eval-errors [22] 1.4% ------------------------------------------------------------------------ taylor [14] 100.0% [17] 418(4.0%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 taylor [14] 100.0% ------------------------------------------------------------------------ taylor [14] 100.0% [18] 218(2.1%) 0(0.0%) taylor-log ...e/findroot/src/core/taylor.rkt:502:0 ??? [21] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [19] 2704(25.6%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [24] 81.6% prepare-points-intervals [23] 9.3% simplify! [33] 9.1% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [20] 346(3.3%) 346(3.3%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------ taylor-log [18] 100.0% [21] 218(2.1%) 0(0.0%) ??? ...es/herbie/findroot/src/core/reduce.rkt:57:5 for-loop [25] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [16] 100.0% [22] 152(1.4%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [26] 100.0% ------------------------------------------------------------------------ run-improve47 [19] 3.4% .../more-scheme.rkt:261:28 [16] 96.6% [23] 7370(69.6%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [27] 100.0% ------------------------------------------------------------------------ run-improve47 [19] 100.0% [24] 2206(20.8%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [28] 100.0% ------------------------------------------------------------------------ ??? [21] 100.0% [25] 218(2.1%) 0(0.0%) for-loop ...rbie/findroot/src/core/reduce.rkt:58:7 pattern-match [29] 100.0% ------------------------------------------------------------------------ eval-errors [22] 100.0% [26] 152(1.4%) 152(1.4%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ------------------------------------------------------------------------ prepare-points-intervals [23] 100.0% [27] 7370(69.6%) 150(1.4%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [30] 65.8% ??? [31] 29.7% do-curry [36] 2.5% ------------------------------------------------------------------------ for-loop [24] 100.0% [28] 2206(20.8%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [32] 47.4% simplify! [33] 26.4% finalize-iter! [34] 26.2% ------------------------------------------------------------------------ for-loop [25] 100.0% [29] 218(2.1%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 constant? [35] 100.0% ------------------------------------------------------------------------ loop [27] 100.0% [30] 4848(45.8%) 1464(13.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [37] 44.7% ??? [55] 7.4% real->precision [41] 6.3% ??? [40] 4.2% hash-update! [43] 4.1% ??? [71] 3.1% ------------------------------------------------------------------------ loop [27] 100.0% [31] 2186(20.7%) 370(3.5%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 loop [87] 56.5% sample-multi-bounded [89] 26.6% ------------------------------------------------------------------------ run-iter! [28] 100.0% [32] 1046(9.9%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [38] 100.0% ------------------------------------------------------------------------ run-improve47 [19] 29.7% run-iter! [28] 70.3% [33] 828(7.8%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [39] 100.0% ------------------------------------------------------------------------ run-iter! [28] 100.0% [34] 578(5.5%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [40] 100.0% ------------------------------------------------------------------------ pattern-match [29] 100.0% [35] 218(2.1%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [42] 100.0% ------------------------------------------------------------------------ loop [27] 100.0% [36] 186(1.8%) 186(1.8%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ------------------------------------------------------------------------ loop [30] 100.0% [37] 2168(20.5%) 180(1.7%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-log [45] 42.9% ival-sub [47] 33.4% ival-add [49] 8.6% ival-exp [50] 6.8% ------------------------------------------------------------------------ gen-series! [32] 100.0% [38] 1046(9.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [44] 100.0% ------------------------------------------------------------------------ simplify! [33] 100.0% [39] 828(7.8%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [46] 100.0% ------------------------------------------------------------------------ loop [30] 25.9% finalize-iter! [34] 74.1% [40] 780(7.4%) 202(1.9%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [48] 74.1% ------------------------------------------------------------------------ loop [30] 100.0% [41] 304(2.9%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [55] 100.0% ------------------------------------------------------------------------ constant? [35] 100.0% [42] 218(2.1%) 218(2.1%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------ loop [30] 100.0% [43] 200(1.9%) 200(1.9%) hash-update! ...cket/private/more-scheme.rkt:365:4 ------------------------------------------------------------------------ for-loop [38] 100.0% [44] 1046(9.9%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [51] 100.0% ------------------------------------------------------------------------ ??? [37] 100.0% [45] 930(8.8%) 776(7.3%) ival-log ...bie/findroot/src/biginterval.rkt:190:0 bflog [54] 16.6% ------------------------------------------------------------------------ ??? [39] 100.0% [46] 828(7.8%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [52] 100.0% ------------------------------------------------------------------------ ??? [37] 100.0% [47] 724(6.8%) 0(0.0%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfadd [65] 100.0% ------------------------------------------------------------------------ ??? [40] 100.0% [48] 578(5.5%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [53] 68.2% errors [56] 31.8% ------------------------------------------------------------------------ ??? [37] 100.0% [49] 186(1.8%) 0(0.0%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfadd [65] 100.0% ------------------------------------------------------------------------ ??? [37] 100.0% [50] 148(1.4%) 0(0.0%) ival-exp ...bie/findroot/src/biginterval.rkt:179:0 bflog [54] 100.0% ------------------------------------------------------------------------ taylor-alt [44] 100.0% [51] 1046(9.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [55] 100.0% ------------------------------------------------------------------------ egraph-run [46] 100.0% [52] 828(7.8%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [57] 100.0% ------------------------------------------------------------------------ for-loop [48] 100.0% [53] 394(3.7%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [56] 100.0% ------------------------------------------------------------------------ ival-exp [50] 49.0% ival-log [45] 51.0% [54] 302(2.9%) 0(0.0%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [72] 51.0% ??? [71] 49.0% ------------------------------------------------------------------------ loop [8] 12.2% real->precision [41] 17.8% loop [30] 21.1% location-do [58] 24.5% for-loop [51] 24.5% [55] 1710(16.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [58] 24.5% approximate9 [2] 24.5% ival-mult [63] 21.1% bf [64] 17.8% hash-ref! [62] 12.2% ------------------------------------------------------------------------ for-loop [48] 15.5% atab-add-altn [53] 33.2% .../more-scheme.rkt:261:28 [16] 51.3% [56] 1186(11.2%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [60] 83.1% temp85_0 [59] 16.9% ------------------------------------------------------------------------ egraph-add-exprs [52] 100.0% [57] 828(7.8%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [61] 100.0% ------------------------------------------------------------------------ ??? [55] 31.8% location-do [58] 68.2% [58] 1046(9.9%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [58] 68.2% ??? [55] 31.8% ------------------------------------------------------------------------ errors [56] 19.5% eval-const-expr [13] 80.5% [59] 1028(9.7%) 0(0.0%) temp85_0 (unknown source) compile15 [66] 100.0% ------------------------------------------------------------------------ errors [56] 100.0% [60] 986(9.3%) 152(1.4%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [16] 69.2% ??? [69] 15.4% ------------------------------------------------------------------------ ??? [57] 100.0% [61] 828(7.8%) 828(7.8%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ ??? [68] 19.0% for-loop [9] 19.9% ??? [67] 30.5% ??? [55] 30.5% [62] 628(5.9%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [67] 30.5% parse-loop74 [7] 30.5% ??? [3] 19.9% ??? [68] 19.0% ------------------------------------------------------------------------ ??? [55] 100.0% [63] 360(3.4%) 186(1.8%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfadd [65] 48.3% ------------------------------------------------------------------------ ??? [55] 100.0% [64] 304(2.9%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 ??? [71] 50.0% new-mpfr [72] 50.0% ------------------------------------------------------------------------ ival-mult [63] 16.1% ival-add [49] 17.2% ival-sub [47] 66.8% [65] 1084(10.2%) 0(0.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [72] 50.0% ??? [71] 50.0% ------------------------------------------------------------------------ temp85_0 [59] 100.0% [66] 1028(9.7%) 0(0.0%) compile15 (unknown source) temp91_0 [70] 100.0% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [67] 628(5.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [62] 100.0% ------------------------------------------------------------------------ hash-ref! [62] 100.0% [68] 410(3.9%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [62] 100.0% ------------------------------------------------------------------------ for-loop [60] 100.0% [69] 152(1.4%) 152(1.4%) ??? ...7.5/collects/racket/private/for.rkt:1236:14 ------------------------------------------------------------------------ compile15 [66] 100.0% [70] 1028(9.7%) 0(0.0%) temp91_0 (unknown source) temp118_0 [73] 80.5% compile-top9 [74] 19.5% ------------------------------------------------------------------------ bflog [54] 14.9% loop [30] 15.1% bf [64] 15.3% bfadd [65] 54.6% [71] 992(9.4%) 992(9.4%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ bf [64] 17.9% bflog [54] 18.2% bfadd [65] 63.9% [72] 848(8.0%) 848(8.0%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ temp91_0 [70] 100.0% [73] 828(7.8%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [75] 100.0% ------------------------------------------------------------------------ temp91_0 [70] 100.0% [74] 200(1.9%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [76] 100.0% ------------------------------------------------------------------------ temp118_0 [73] 100.0% [75] 828(7.8%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [77] 100.0% ------------------------------------------------------------------------ compile-top9 [74] 100.0% [76] 200(1.9%) 0(0.0%) compile-forms33 (unknown source) for-loop [79] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [75] 100.0% [77] 828(7.8%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [78] 100.0% ------------------------------------------------------------------------ lambda-clause-expander [77] 16.5% for-loop [79] 83.5% [78] 828(7.8%) 0(0.0%) finish-bodys (unknown source) for-loop [79] 100.0% ------------------------------------------------------------------------ fallback-loop [15] 6.5% for-loop [79] 7.2% compile-forms33 [76] 19.5% finish-bodys [78] 66.9% [79] 1028(9.7%) 200(1.9%) for-loop (unknown source) finish-bodys [78] 57.3% compile-module-linklet57 [82] 19.5% for-loop [79] 7.2% expand-implicit [5] 6.5% syntax-e [81] 1.3% dispatch-variable [83] 0.9% dispatch-transformer41 [80] 0.9% ------------------------------------------------------------------------ for-loop [79] 100.0% [80] 218(2.1%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [84] 100.0% ------------------------------------------------------------------------ for-loop [79] 100.0% [81] 210(2.0%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [85] 100.0% ------------------------------------------------------------------------ for-loop [79] 100.0% [82] 200(1.9%) 200(1.9%) compile-module-linklet57 (unknown source) ------------------------------------------------------------------------ for-loop [79] 100.0% [83] 200(1.9%) 0(0.0%) dispatch-variable (unknown source) substitute-variable6 [86] 100.0% ------------------------------------------------------------------------ dispatch-transformer41 [80] 100.0% [84] 218(2.1%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [88]100.0% ------------------------------------------------------------------------ syntax-e [81] 100.0% [85] 210(2.0%) 0(0.0%) syntax-e/no-taint (unknown source) loop [87] 100.0% ------------------------------------------------------------------------ dispatch-variable [83] 100.0% [86] 200(1.9%) 200(1.9%) substitute-variable6 (unknown source) ------------------------------------------------------------------------ syntax-e/no-taint [85] 14.5% ??? [31] 85.5% [87] 1444(13.6%) 386(3.6%) loop (unknown source) sample-multi-bounded [89] 58.7% gf [90] 14.5% ------------------------------------------------------------------------ apply-transformer52 [84] 100.0% [88] 218(2.1%) 218(2.1%) apply-transformer-in-context (unknown source) ------------------------------------------------------------------------ ??? [31] 40.7% loop [87] 59.3% [89] 1430(13.5%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [91] 86.2% for-loop [93] 13.8% ------------------------------------------------------------------------ loop [87] 100.0% [90] 210(2.0%) 0(0.0%) gf (unknown source) propagation-apply [92] 100.0% ------------------------------------------------------------------------ sample-multi-bounded [89] 100.0% [91] 1232(11.6%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [94] 52.6% build--> [95] 47.4% ------------------------------------------------------------------------ gf [90] 100.0% [92] 210(2.0%) 210(2.0%) propagation-apply (unknown source) ------------------------------------------------------------------------ sample-multi-bounded [89] 100.0% [93] 198(1.9%) 198(1.9%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 ------------------------------------------------------------------------ random-ranges [91] 100.0% [94] 648(6.1%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [96] 100.0% ------------------------------------------------------------------------ random-ranges [91] 100.0% [95] 584(5.5%) 400(3.8%) build--> ...act/private/arrow-val-first.rkt:1214:0 coerce-contract [96] 31.5% ------------------------------------------------------------------------ build--> [95] 22.1% cons/c [94] 77.9% [96] 832(7.9%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [97] 100.0% ------------------------------------------------------------------------ coerce-contract [96] 100.0% [97] 832(7.9%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [98] 100.0% ------------------------------------------------------------------------ coerce-contract/f [97] 100.0% [98] 832(7.9%) 832(7.9%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------